29.766 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.149 * * * [progress]: [2/2] Setting up program.
0.157 * [progress]: [Phase 2 of 3] Improving.
0.158 * [simplify]: Simplifying:
  (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))
0.158 * * [simplify]: iteration 0: 12 enodes
0.160 * * [simplify]: iteration 1: 25 enodes
0.164 * * [simplify]: iteration 2: 49 enodes
0.170 * * [simplify]: iteration 3: 76 enodes
0.179 * * [simplify]: iteration 4: 95 enodes
0.190 * * [simplify]: iteration 5: 111 enodes
0.242 * * [simplify]: iteration 6: 126 enodes
0.278 * * [simplify]: iteration 7: 142 enodes
0.310 * * [simplify]: iteration complete: 142 enodes
0.310 * * [simplify]: Extracting #0: cost 1 inf + 0
0.310 * * [simplify]: Extracting #1: cost 12 inf + 0
0.310 * * [simplify]: Extracting #2: cost 34 inf + 0
0.311 * * [simplify]: Extracting #3: cost 25 inf + 24
0.311 * * [simplify]: Extracting #4: cost 4 inf + 156
0.311 * * [simplify]: Extracting #5: cost 0 inf + 193
0.311 * [simplify]: Simplified to:
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
0.321 * * [progress]: iteration 1 / 4
0.321 * * * [progress]: picking best candidate
0.335 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))>
0.335 * * * [progress]: localizing error
0.366 * * * [progress]: generating rewritten candidates
0.367 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.406 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.412 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.424 * * * [progress]: generating series expansions
0.424 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.425 * [backup-simplify]: Simplify (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
0.425 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
0.425 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
0.425 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
0.425 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
0.425 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.425 * [taylor]: Taking taylor expansion of a2 in th
0.425 * [backup-simplify]: Simplify a2 into a2
0.425 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.425 * [taylor]: Taking taylor expansion of a1 in th
0.425 * [backup-simplify]: Simplify a1 into a1
0.425 * [taylor]: Taking taylor expansion of (cos th) in th
0.425 * [taylor]: Taking taylor expansion of th in th
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.426 * [taylor]: Taking taylor expansion of 2.0 in th
0.426 * [backup-simplify]: Simplify 2.0 into 2.0
0.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.426 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.426 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.427 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
0.427 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
0.427 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
0.427 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
0.427 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
0.427 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.427 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.427 * [taylor]: Taking taylor expansion of a2 in a2
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 1 into 1
0.427 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.427 * [taylor]: Taking taylor expansion of a1 in a2
0.427 * [backup-simplify]: Simplify a1 into a1
0.427 * [taylor]: Taking taylor expansion of (cos th) in a2
0.427 * [taylor]: Taking taylor expansion of th in a2
0.427 * [backup-simplify]: Simplify th into th
0.427 * [backup-simplify]: Simplify (cos th) into (cos th)
0.427 * [backup-simplify]: Simplify (sin th) into (sin th)
0.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.428 * [taylor]: Taking taylor expansion of 2.0 in a2
0.428 * [backup-simplify]: Simplify 2.0 into 2.0
0.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.428 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.428 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
0.429 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.429 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.429 * [backup-simplify]: Simplify (- 0) into 0
0.429 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.429 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
0.430 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
0.430 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.430 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.430 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.430 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.430 * [taylor]: Taking taylor expansion of a2 in a1
0.430 * [backup-simplify]: Simplify a2 into a2
0.430 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.430 * [taylor]: Taking taylor expansion of a1 in a1
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.430 * [taylor]: Taking taylor expansion of (cos th) in a1
0.430 * [taylor]: Taking taylor expansion of th in a1
0.430 * [backup-simplify]: Simplify th into th
0.430 * [backup-simplify]: Simplify (cos th) into (cos th)
0.430 * [backup-simplify]: Simplify (sin th) into (sin th)
0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.430 * [taylor]: Taking taylor expansion of 2.0 in a1
0.430 * [backup-simplify]: Simplify 2.0 into 2.0
0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.431 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.431 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.431 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.431 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.431 * [backup-simplify]: Simplify (- 0) into 0
0.431 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.431 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.432 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.432 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
0.432 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
0.432 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.432 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.432 * [taylor]: Taking taylor expansion of a2 in a1
0.432 * [backup-simplify]: Simplify a2 into a2
0.432 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.432 * [taylor]: Taking taylor expansion of a1 in a1
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [taylor]: Taking taylor expansion of (cos th) in a1
0.432 * [taylor]: Taking taylor expansion of th in a1
0.432 * [backup-simplify]: Simplify th into th
0.432 * [backup-simplify]: Simplify (cos th) into (cos th)
0.432 * [backup-simplify]: Simplify (sin th) into (sin th)
0.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.432 * [taylor]: Taking taylor expansion of 2.0 in a1
0.432 * [backup-simplify]: Simplify 2.0 into 2.0
0.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.433 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.433 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.433 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.433 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.433 * [backup-simplify]: Simplify (- 0) into 0
0.433 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.433 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
0.434 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
0.434 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
0.434 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
0.434 * [taylor]: Taking taylor expansion of (cos th) in a2
0.434 * [taylor]: Taking taylor expansion of th in a2
0.434 * [backup-simplify]: Simplify th into th
0.434 * [backup-simplify]: Simplify (cos th) into (cos th)
0.434 * [backup-simplify]: Simplify (sin th) into (sin th)
0.434 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.434 * [taylor]: Taking taylor expansion of a2 in a2
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.434 * [taylor]: Taking taylor expansion of 2.0 in a2
0.434 * [backup-simplify]: Simplify 2.0 into 2.0
0.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.435 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.435 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.435 * [backup-simplify]: Simplify (- 0) into 0
0.435 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.435 * [backup-simplify]: Simplify (* 1 1) into 1
0.436 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.436 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.436 * [backup-simplify]: Simplify (+ 0) into 0
0.436 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.437 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.438 * [backup-simplify]: Simplify (- 0) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.438 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.438 * [backup-simplify]: Simplify (+ 0 0) into 0
0.438 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
0.439 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.439 * [taylor]: Taking taylor expansion of 0 in a2
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [taylor]: Taking taylor expansion of 0 in th
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.440 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
0.441 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.441 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (+ 0 1) into 1
0.443 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
0.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.445 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
0.445 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
0.445 * [taylor]: Taking taylor expansion of (cos th) in a2
0.445 * [taylor]: Taking taylor expansion of th in a2
0.445 * [backup-simplify]: Simplify th into th
0.445 * [backup-simplify]: Simplify (cos th) into (cos th)
0.445 * [backup-simplify]: Simplify (sin th) into (sin th)
0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.445 * [taylor]: Taking taylor expansion of 2.0 in a2
0.445 * [backup-simplify]: Simplify 2.0 into 2.0
0.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.446 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
0.446 * [backup-simplify]: Simplify (* (sin th) 0) into 0
0.446 * [backup-simplify]: Simplify (- 0) into 0
0.446 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
0.447 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
0.447 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.447 * [taylor]: Taking taylor expansion of (cos th) in th
0.447 * [taylor]: Taking taylor expansion of th in th
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.447 * [taylor]: Taking taylor expansion of 2.0 in th
0.447 * [backup-simplify]: Simplify 2.0 into 2.0
0.447 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.448 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.448 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.449 * [taylor]: Taking taylor expansion of 0 in th
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
0.449 * [taylor]: Taking taylor expansion of (cos th) in th
0.449 * [taylor]: Taking taylor expansion of th in th
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.449 * [taylor]: Taking taylor expansion of 2.0 in th
0.449 * [backup-simplify]: Simplify 2.0 into 2.0
0.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.450 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.451 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
0.451 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.453 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.455 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
0.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.469 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.469 * [taylor]: Taking taylor expansion of 0 in a2
0.469 * [backup-simplify]: Simplify 0 into 0
0.470 * [taylor]: Taking taylor expansion of 0 in th
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify (+ 0) into 0
0.471 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.472 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.472 * [backup-simplify]: Simplify (- 0) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.474 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.474 * [taylor]: Taking taylor expansion of 0 in th
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [taylor]: Taking taylor expansion of 0 in th
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.475 * [backup-simplify]: Simplify (+ 0) into 0
0.476 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.477 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
0.478 * [backup-simplify]: Simplify (- 0) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
0.479 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.479 * [taylor]: Taking taylor expansion of 0 in th
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (+ 0) into 0
0.480 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.480 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
0.482 * [backup-simplify]: Simplify (/ (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) (/ (sqrt 2.0) (cos (/ 1 th)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.482 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
0.482 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.482 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.482 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.482 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.482 * [taylor]: Taking taylor expansion of th in th
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.483 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.483 * [taylor]: Taking taylor expansion of a2 in th
0.483 * [backup-simplify]: Simplify a2 into a2
0.483 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.483 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.483 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.483 * [taylor]: Taking taylor expansion of a1 in th
0.483 * [backup-simplify]: Simplify a1 into a1
0.483 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.483 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
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
0.484 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.484 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
0.485 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.485 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.485 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.485 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.485 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.485 * [taylor]: Taking taylor expansion of th in a2
0.485 * [backup-simplify]: Simplify th into th
0.485 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.485 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.485 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.485 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.485 * [taylor]: Taking taylor expansion of a2 in a2
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.486 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.486 * [taylor]: Taking taylor expansion of a1 in a2
0.486 * [backup-simplify]: Simplify a1 into a1
0.486 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.486 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.486 * [taylor]: Taking taylor expansion of 2.0 in a2
0.486 * [backup-simplify]: Simplify 2.0 into 2.0
0.486 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.486 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.487 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.487 * [backup-simplify]: Simplify (- 0) into 0
0.487 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.487 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.487 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.488 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.488 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.488 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.488 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.488 * [taylor]: Taking taylor expansion of th in a1
0.488 * [backup-simplify]: Simplify th into th
0.488 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.488 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.488 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.488 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.488 * [taylor]: Taking taylor expansion of a2 in a1
0.488 * [backup-simplify]: Simplify a2 into a2
0.488 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.488 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.488 * [taylor]: Taking taylor expansion of a1 in a1
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 1 into 1
0.488 * [backup-simplify]: Simplify (* 1 1) into 1
0.489 * [backup-simplify]: Simplify (/ 1 1) into 1
0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.489 * [taylor]: Taking taylor expansion of 2.0 in a1
0.489 * [backup-simplify]: Simplify 2.0 into 2.0
0.489 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.489 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.489 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.490 * [backup-simplify]: Simplify (- 0) into 0
0.490 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.490 * [backup-simplify]: Simplify (+ 0 1) into 1
0.490 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.490 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.490 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.490 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.490 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
0.490 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
0.490 * [taylor]: Taking taylor expansion of th in a1
0.490 * [backup-simplify]: Simplify th into th
0.490 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.491 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.491 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.491 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.491 * [taylor]: Taking taylor expansion of a2 in a1
0.491 * [backup-simplify]: Simplify a2 into a2
0.491 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.491 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.491 * [taylor]: Taking taylor expansion of a1 in a1
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (* 1 1) into 1
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.491 * [taylor]: Taking taylor expansion of 2.0 in a1
0.491 * [backup-simplify]: Simplify 2.0 into 2.0
0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.492 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.492 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.492 * [backup-simplify]: Simplify (- 0) into 0
0.493 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.493 * [backup-simplify]: Simplify (+ 0 1) into 1
0.493 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.493 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.493 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
0.493 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.493 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.493 * [taylor]: Taking taylor expansion of th in a2
0.493 * [backup-simplify]: Simplify th into th
0.493 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.493 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.493 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.493 * [taylor]: Taking taylor expansion of 2.0 in a2
0.493 * [backup-simplify]: Simplify 2.0 into 2.0
0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.494 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.494 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.495 * [backup-simplify]: Simplify (- 0) into 0
0.495 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.495 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (+ 0) into 0
0.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.498 * [backup-simplify]: Simplify (- 0) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.499 * [taylor]: Taking taylor expansion of 0 in a2
0.499 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.501 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.502 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.503 * [backup-simplify]: Simplify (- 0) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
0.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.505 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
0.506 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.506 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
0.506 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
0.506 * [taylor]: Taking taylor expansion of th in a2
0.506 * [backup-simplify]: Simplify th into th
0.506 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
0.506 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.506 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
0.506 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.506 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.506 * [taylor]: Taking taylor expansion of 2.0 in a2
0.506 * [backup-simplify]: Simplify 2.0 into 2.0
0.506 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.507 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.507 * [taylor]: Taking taylor expansion of a2 in a2
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 1 into 1
0.507 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
0.507 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
0.507 * [backup-simplify]: Simplify (- 0) into 0
0.507 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
0.507 * [backup-simplify]: Simplify (* 1 1) into 1
0.508 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.508 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.508 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.508 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.508 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.508 * [taylor]: Taking taylor expansion of th in th
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.509 * [taylor]: Taking taylor expansion of 2.0 in th
0.509 * [backup-simplify]: Simplify 2.0 into 2.0
0.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.510 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.510 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
0.510 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
0.510 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.510 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.510 * [taylor]: Taking taylor expansion of th in th
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.510 * [backup-simplify]: Simplify (/ 1 1) into 1
0.511 * [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
0.511 * [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))
0.513 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.521 * [backup-simplify]: Simplify (- 0) into 0
0.521 * [backup-simplify]: Simplify (+ 0 0) into 0
0.522 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.527 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
0.527 * [taylor]: Taking taylor expansion of 0 in a2
0.527 * [backup-simplify]: Simplify 0 into 0
0.528 * [backup-simplify]: Simplify (+ 0) into 0
0.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.530 * [backup-simplify]: Simplify (- 0) into 0
0.530 * [backup-simplify]: Simplify (+ 0 0) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.533 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.533 * [taylor]: Taking taylor expansion of 0 in th
0.533 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [taylor]: Taking taylor expansion of 0 in th
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (+ 0) into 0
0.535 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
0.536 * [backup-simplify]: Simplify (- 0) into 0
0.537 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.538 * [taylor]: Taking taylor expansion of 0 in th
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.540 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.542 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ 0 0) into 0
0.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
0.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.551 * [backup-simplify]: Simplify (- 0) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.555 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.555 * [taylor]: Taking taylor expansion of 0 in a2
0.555 * [backup-simplify]: Simplify 0 into 0
0.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.556 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.558 * [backup-simplify]: Simplify (- 0) into 0
0.558 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.560 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.561 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.561 * [taylor]: Taking taylor expansion of 0 in th
0.561 * [backup-simplify]: Simplify 0 into 0
0.561 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
0.562 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (/ (sqrt 2.0) (cos (/ 1 (- th))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.562 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
0.562 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
0.562 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.563 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.563 * [taylor]: Taking taylor expansion of -1 in th
0.563 * [backup-simplify]: Simplify -1 into -1
0.563 * [taylor]: Taking taylor expansion of th in th
0.563 * [backup-simplify]: Simplify 0 into 0
0.563 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (/ -1 1) into -1
0.563 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
0.563 * [taylor]: Taking taylor expansion of (pow a2 2) in th
0.563 * [taylor]: Taking taylor expansion of a2 in th
0.563 * [backup-simplify]: Simplify a2 into a2
0.563 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.563 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
0.563 * [taylor]: Taking taylor expansion of (pow a1 2) in th
0.563 * [taylor]: Taking taylor expansion of a1 in th
0.563 * [backup-simplify]: Simplify a1 into a1
0.563 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.563 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.563 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.563 * [taylor]: Taking taylor expansion of 2.0 in th
0.563 * [backup-simplify]: Simplify 2.0 into 2.0
0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.564 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.565 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
0.565 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
0.565 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
0.565 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
0.565 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.565 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.565 * [taylor]: Taking taylor expansion of -1 in a2
0.565 * [backup-simplify]: Simplify -1 into -1
0.565 * [taylor]: Taking taylor expansion of th in a2
0.565 * [backup-simplify]: Simplify th into th
0.565 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.565 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.565 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.565 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.565 * [taylor]: Taking taylor expansion of a2 in a2
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (/ 1 1) into 1
0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.566 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.566 * [taylor]: Taking taylor expansion of a1 in a2
0.566 * [backup-simplify]: Simplify a1 into a1
0.566 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.566 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.566 * [taylor]: Taking taylor expansion of 2.0 in a2
0.566 * [backup-simplify]: Simplify 2.0 into 2.0
0.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.567 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.567 * [backup-simplify]: Simplify (- 0) into 0
0.567 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.568 * [backup-simplify]: Simplify (+ 1 0) into 1
0.568 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.568 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.568 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.568 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.568 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.568 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.568 * [taylor]: Taking taylor expansion of -1 in a1
0.568 * [backup-simplify]: Simplify -1 into -1
0.568 * [taylor]: Taking taylor expansion of th in a1
0.568 * [backup-simplify]: Simplify th into th
0.568 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.568 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.568 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.568 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.568 * [taylor]: Taking taylor expansion of a2 in a1
0.568 * [backup-simplify]: Simplify a2 into a2
0.569 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.569 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.569 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.569 * [taylor]: Taking taylor expansion of a1 in a1
0.569 * [backup-simplify]: Simplify 0 into 0
0.569 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (* 1 1) into 1
0.569 * [backup-simplify]: Simplify (/ 1 1) into 1
0.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.569 * [taylor]: Taking taylor expansion of 2.0 in a1
0.569 * [backup-simplify]: Simplify 2.0 into 2.0
0.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.570 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.570 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.570 * [backup-simplify]: Simplify (- 0) into 0
0.570 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.571 * [backup-simplify]: Simplify (+ 0 1) into 1
0.571 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.571 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.571 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
0.571 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
0.571 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
0.571 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
0.571 * [taylor]: Taking taylor expansion of -1 in a1
0.571 * [backup-simplify]: Simplify -1 into -1
0.571 * [taylor]: Taking taylor expansion of th in a1
0.571 * [backup-simplify]: Simplify th into th
0.571 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.571 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.571 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.571 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.571 * [taylor]: Taking taylor expansion of a2 in a1
0.571 * [backup-simplify]: Simplify a2 into a2
0.571 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.572 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.572 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.572 * [taylor]: Taking taylor expansion of a1 in a1
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
0.572 * [taylor]: Taking taylor expansion of 2.0 in a1
0.572 * [backup-simplify]: Simplify 2.0 into 2.0
0.572 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.573 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.573 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.573 * [backup-simplify]: Simplify (- 0) into 0
0.573 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.574 * [backup-simplify]: Simplify (+ 0 1) into 1
0.574 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.574 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.574 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
0.574 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.574 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.574 * [taylor]: Taking taylor expansion of -1 in a2
0.574 * [backup-simplify]: Simplify -1 into -1
0.574 * [taylor]: Taking taylor expansion of th in a2
0.574 * [backup-simplify]: Simplify th into th
0.574 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.574 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.574 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.574 * [taylor]: Taking taylor expansion of 2.0 in a2
0.574 * [backup-simplify]: Simplify 2.0 into 2.0
0.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.575 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.575 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.575 * [backup-simplify]: Simplify (- 0) into 0
0.575 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.576 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ 0 0) into 0
0.577 * [backup-simplify]: Simplify (+ 0) into 0
0.577 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.577 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.578 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.579 * [backup-simplify]: Simplify (- 0) into 0
0.579 * [backup-simplify]: Simplify (+ 0 0) into 0
0.580 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.586 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.586 * [taylor]: Taking taylor expansion of 0 in a2
0.586 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.589 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.591 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.592 * [backup-simplify]: Simplify (- 0) into 0
0.592 * [backup-simplify]: Simplify (+ 0 0) into 0
0.593 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
0.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.597 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
0.597 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
0.597 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
0.597 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
0.597 * [taylor]: Taking taylor expansion of -1 in a2
0.597 * [backup-simplify]: Simplify -1 into -1
0.597 * [taylor]: Taking taylor expansion of th in a2
0.597 * [backup-simplify]: Simplify th into th
0.597 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
0.597 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.597 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
0.597 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
0.597 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
0.597 * [taylor]: Taking taylor expansion of 2.0 in a2
0.597 * [backup-simplify]: Simplify 2.0 into 2.0
0.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.599 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.599 * [taylor]: Taking taylor expansion of a2 in a2
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
0.599 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
0.599 * [backup-simplify]: Simplify (- 0) into 0
0.599 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
0.600 * [backup-simplify]: Simplify (* 1 1) into 1
0.601 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
0.601 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.601 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.601 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.601 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.601 * [taylor]: Taking taylor expansion of -1 in th
0.601 * [backup-simplify]: Simplify -1 into -1
0.601 * [taylor]: Taking taylor expansion of th in th
0.601 * [backup-simplify]: Simplify 0 into 0
0.601 * [backup-simplify]: Simplify 1 into 1
0.602 * [backup-simplify]: Simplify (/ -1 1) into -1
0.602 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.602 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.602 * [taylor]: Taking taylor expansion of 2.0 in th
0.602 * [backup-simplify]: Simplify 2.0 into 2.0
0.602 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.604 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.604 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.604 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
0.604 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.604 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.604 * [taylor]: Taking taylor expansion of -1 in th
0.604 * [backup-simplify]: Simplify -1 into -1
0.604 * [taylor]: Taking taylor expansion of th in th
0.604 * [backup-simplify]: Simplify 0 into 0
0.604 * [backup-simplify]: Simplify 1 into 1
0.605 * [backup-simplify]: Simplify (/ -1 1) into -1
0.605 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.605 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.605 * [taylor]: Taking taylor expansion of 2.0 in th
0.605 * [backup-simplify]: Simplify 2.0 into 2.0
0.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.607 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.607 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
0.607 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (+ 0 0) into 0
0.610 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.612 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
0.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
0.613 * [backup-simplify]: Simplify (- 0) into 0
0.613 * [backup-simplify]: Simplify (+ 0 0) into 0
0.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.616 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
0.616 * [taylor]: Taking taylor expansion of 0 in a2
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify (+ 0) into 0
0.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.617 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.618 * [backup-simplify]: Simplify (- 0) into 0
0.619 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.620 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
0.621 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.621 * [taylor]: Taking taylor expansion of 0 in th
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [taylor]: Taking taylor expansion of 0 in th
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify 0 into 0
0.621 * [backup-simplify]: Simplify (+ 0) into 0
0.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
0.621 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
0.622 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
0.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
0.622 * [backup-simplify]: Simplify (- 0) into 0
0.623 * [backup-simplify]: Simplify (+ 0 0) into 0
0.624 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.624 * [taylor]: Taking taylor expansion of 0 in th
0.624 * [backup-simplify]: Simplify 0 into 0
0.624 * [backup-simplify]: Simplify 0 into 0
0.625 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.625 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
0.626 * [backup-simplify]: Simplify 0 into 0
0.626 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.628 * [backup-simplify]: Simplify (+ 0 0) into 0
0.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
0.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.631 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.632 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
0.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
0.633 * [backup-simplify]: Simplify (- 0) into 0
0.633 * [backup-simplify]: Simplify (+ 0 0) into 0
0.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
0.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.637 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.637 * [taylor]: Taking taylor expansion of 0 in a2
0.637 * [backup-simplify]: Simplify 0 into 0
0.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
0.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
0.638 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
0.639 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
0.640 * [backup-simplify]: Simplify (- 0) into 0
0.640 * [backup-simplify]: Simplify (+ 0 0) into 0
0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.642 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
0.644 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
0.644 * [taylor]: Taking taylor expansion of 0 in th
0.644 * [backup-simplify]: Simplify 0 into 0
0.644 * [backup-simplify]: Simplify 0 into 0
0.646 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
0.646 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.647 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos th)) into (/ (sqrt 2.0) (cos th))
0.647 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in (th) around 0
0.647 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
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
0.647 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.648 * [taylor]: Taking taylor expansion of (cos th) in th
0.648 * [taylor]: Taking taylor expansion of th in th
0.648 * [backup-simplify]: Simplify 0 into 0
0.648 * [backup-simplify]: Simplify 1 into 1
0.649 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.649 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos th)) in th
0.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.649 * [taylor]: Taking taylor expansion of 2.0 in th
0.649 * [backup-simplify]: Simplify 2.0 into 2.0
0.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.650 * [taylor]: Taking taylor expansion of (cos th) in th
0.650 * [taylor]: Taking taylor expansion of th in th
0.650 * [backup-simplify]: Simplify 0 into 0
0.650 * [backup-simplify]: Simplify 1 into 1
0.651 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.652 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.652 * [backup-simplify]: Simplify (+ 0) into 0
0.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.653 * [backup-simplify]: Simplify 0 into 0
0.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sqrt 2.0))
0.661 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
0.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0
0.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sqrt 2.0)) (/ 0 1)))) into 0
0.666 * [backup-simplify]: Simplify 0 into 0
0.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.670 * [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
0.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 1/24 1)) (* 0 (/ 0 1)) (* (* 1/2 (sqrt 2.0)) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 5/24 (sqrt 2.0))
0.681 * [backup-simplify]: Simplify (* 5/24 (sqrt 2.0)) into (* 5/24 (sqrt 2.0))
0.684 * [backup-simplify]: Simplify (+ (* (* 5/24 (sqrt 2.0)) (pow th 4)) (+ (* (* 1/2 (sqrt 2.0)) (pow th 2)) (sqrt 2.0))) into (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
0.685 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.685 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in (th) around 0
0.685 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.685 * [taylor]: Taking taylor expansion of 2.0 in th
0.685 * [backup-simplify]: Simplify 2.0 into 2.0
0.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.686 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.686 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.686 * [taylor]: Taking taylor expansion of th in th
0.686 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 1 into 1
0.687 * [backup-simplify]: Simplify (/ 1 1) into 1
0.687 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.688 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.688 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ 1 th))) in th
0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.688 * [taylor]: Taking taylor expansion of 2.0 in th
0.688 * [backup-simplify]: Simplify 2.0 into 2.0
0.688 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.689 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
0.689 * [taylor]: Taking taylor expansion of (/ 1 th) in th
0.689 * [taylor]: Taking taylor expansion of th in th
0.689 * [backup-simplify]: Simplify 0 into 0
0.689 * [backup-simplify]: Simplify 1 into 1
0.689 * [backup-simplify]: Simplify (/ 1 1) into 1
0.689 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
0.690 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.691 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 th))) into (/ (sqrt 2.0) (cos (/ 1 th)))
0.691 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))))) into 0
0.691 * [backup-simplify]: Simplify 0 into 0
0.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.693 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.693 * [backup-simplify]: Simplify 0 into 0
0.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.696 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.696 * [backup-simplify]: Simplify 0 into 0
0.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.698 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.698 * [backup-simplify]: Simplify 0 into 0
0.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.701 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.701 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.703 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1 th))) (+ (* (/ (sqrt 2.0) (cos (/ 1 th))) (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))) (* 0 (/ 0 (cos (/ 1 th)))))) into 0
0.703 * [backup-simplify]: Simplify 0 into 0
0.703 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (/ 1 th)))) into (/ (sqrt 2.0) (cos th))
0.704 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ 1 (- th)))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.704 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in (th) around 0
0.704 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.704 * [taylor]: Taking taylor expansion of 2.0 in th
0.704 * [backup-simplify]: Simplify 2.0 into 2.0
0.704 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.705 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.705 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.705 * [taylor]: Taking taylor expansion of -1 in th
0.705 * [backup-simplify]: Simplify -1 into -1
0.705 * [taylor]: Taking taylor expansion of th in th
0.705 * [backup-simplify]: Simplify 0 into 0
0.705 * [backup-simplify]: Simplify 1 into 1
0.705 * [backup-simplify]: Simplify (/ -1 1) into -1
0.705 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
0.706 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.706 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (cos (/ -1 th))) in th
0.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
0.706 * [taylor]: Taking taylor expansion of 2.0 in th
0.706 * [backup-simplify]: Simplify 2.0 into 2.0
0.706 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.706 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
0.706 * [taylor]: Taking taylor expansion of (/ -1 th) in th
0.706 * [taylor]: Taking taylor expansion of -1 in th
0.706 * [backup-simplify]: Simplify -1 into -1
0.706 * [taylor]: Taking taylor expansion of th in th
0.706 * [backup-simplify]: Simplify 0 into 0
0.706 * [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 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.708 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 th))) into (/ (sqrt 2.0) (cos (/ -1 th)))
0.709 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))))) into 0
0.709 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.710 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.710 * [backup-simplify]: Simplify 0 into 0
0.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.715 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.715 * [backup-simplify]: Simplify 0 into 0
0.716 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.717 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.717 * [backup-simplify]: Simplify 0 into 0
0.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.718 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.718 * [backup-simplify]: Simplify 0 into 0
0.719 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.720 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1 th))) (+ (* (/ (sqrt 2.0) (cos (/ -1 th))) (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))) (* 0 (/ 0 (cos (/ -1 th)))))) into 0
0.720 * [backup-simplify]: Simplify 0 into 0
0.720 * [backup-simplify]: Simplify (/ (sqrt 2.0) (cos (/ -1 (/ 1 (- th))))) into (/ (sqrt 2.0) (cos th))
0.720 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.720 * [backup-simplify]: Simplify (+ (* a1 a1) (* a2 a2)) into (+ (pow a2 2) (pow a1 2))
0.720 * [approximate]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in (a1 a2) around 0
0.720 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
0.721 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.721 * [taylor]: Taking taylor expansion of a2 in a2
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.721 * [taylor]: Taking taylor expansion of a1 in a2
0.721 * [backup-simplify]: Simplify a1 into a1
0.721 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.721 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.721 * [taylor]: Taking taylor expansion of a2 in a1
0.721 * [backup-simplify]: Simplify a2 into a2
0.721 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.721 * [taylor]: Taking taylor expansion of a1 in a1
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
0.721 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.721 * [taylor]: Taking taylor expansion of a2 in a1
0.721 * [backup-simplify]: Simplify a2 into a2
0.721 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.721 * [taylor]: Taking taylor expansion of a1 in a1
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.721 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
0.721 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.721 * [taylor]: Taking taylor expansion of a2 in a2
0.721 * [backup-simplify]: Simplify 0 into 0
0.721 * [backup-simplify]: Simplify 1 into 1
0.721 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.721 * [backup-simplify]: Simplify (+ 0 0) into 0
0.721 * [taylor]: Taking taylor expansion of 0 in a2
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify 0 into 0
0.722 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.722 * [backup-simplify]: Simplify (* 1 1) into 1
0.722 * [backup-simplify]: Simplify (+ 0 1) into 1
0.722 * [taylor]: Taking taylor expansion of 1 in a2
0.722 * [backup-simplify]: Simplify 1 into 1
0.722 * [backup-simplify]: Simplify 1 into 1
0.722 * [backup-simplify]: Simplify 0 into 0
0.723 * [backup-simplify]: Simplify (* 1 1) into 1
0.723 * [backup-simplify]: Simplify 1 into 1
0.723 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.724 * [backup-simplify]: Simplify (+ 0 0) into 0
0.724 * [taylor]: Taking taylor expansion of 0 in a2
0.724 * [backup-simplify]: Simplify 0 into 0
0.724 * [backup-simplify]: Simplify 0 into 0
0.724 * [backup-simplify]: Simplify 0 into 0
0.724 * [backup-simplify]: Simplify 0 into 0
0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.724 * [backup-simplify]: Simplify 0 into 0
0.725 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0
0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.726 * [backup-simplify]: Simplify (+ 0 0) into 0
0.726 * [taylor]: Taking taylor expansion of 0 in a2
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify 0 into 0
0.726 * [backup-simplify]: Simplify (+ (* 1 (pow (* a2 1) 2)) (* 1 (pow (* 1 a1) 2))) into (+ (pow a2 2) (pow a1 2))
0.727 * [backup-simplify]: Simplify (+ (* (/ 1 a1) (/ 1 a1)) (* (/ 1 a2) (/ 1 a2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.727 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.727 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.727 * [taylor]: Taking taylor expansion of a2 in a2
0.727 * [backup-simplify]: Simplify 0 into 0
0.727 * [backup-simplify]: Simplify 1 into 1
0.727 * [backup-simplify]: Simplify (* 1 1) into 1
0.727 * [backup-simplify]: Simplify (/ 1 1) into 1
0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.727 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.727 * [taylor]: Taking taylor expansion of a1 in a2
0.727 * [backup-simplify]: Simplify a1 into a1
0.727 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.728 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.728 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.728 * [taylor]: Taking taylor expansion of a2 in a1
0.728 * [backup-simplify]: Simplify a2 into a2
0.728 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.728 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.728 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.728 * [taylor]: Taking taylor expansion of a1 in a1
0.728 * [backup-simplify]: Simplify 0 into 0
0.728 * [backup-simplify]: Simplify 1 into 1
0.728 * [backup-simplify]: Simplify (* 1 1) into 1
0.728 * [backup-simplify]: Simplify (/ 1 1) into 1
0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.728 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.728 * [taylor]: Taking taylor expansion of a2 in a1
0.729 * [backup-simplify]: Simplify a2 into a2
0.729 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.729 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.729 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.729 * [taylor]: Taking taylor expansion of a1 in a1
0.729 * [backup-simplify]: Simplify 0 into 0
0.729 * [backup-simplify]: Simplify 1 into 1
0.729 * [backup-simplify]: Simplify (* 1 1) into 1
0.729 * [backup-simplify]: Simplify (/ 1 1) into 1
0.730 * [backup-simplify]: Simplify (+ 0 1) into 1
0.730 * [taylor]: Taking taylor expansion of 1 in a2
0.730 * [backup-simplify]: Simplify 1 into 1
0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.731 * [backup-simplify]: Simplify (+ 0 0) into 0
0.731 * [taylor]: Taking taylor expansion of 0 in a2
0.731 * [backup-simplify]: Simplify 0 into 0
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.732 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.732 * [taylor]: Taking taylor expansion of a2 in a2
0.732 * [backup-simplify]: Simplify 0 into 0
0.732 * [backup-simplify]: Simplify 1 into 1
0.732 * [backup-simplify]: Simplify (* 1 1) into 1
0.733 * [backup-simplify]: Simplify (/ 1 1) into 1
0.733 * [backup-simplify]: Simplify 1 into 1
0.733 * [backup-simplify]: Simplify 1 into 1
0.733 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.734 * [backup-simplify]: Simplify (+ 0 0) into 0
0.734 * [taylor]: Taking taylor expansion of 0 in a2
0.734 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.735 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify 0 into 0
0.735 * [backup-simplify]: Simplify 0 into 0
0.736 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.737 * [backup-simplify]: Simplify (+ 0 0) into 0
0.737 * [taylor]: Taking taylor expansion of 0 in a2
0.737 * [backup-simplify]: Simplify 0 into 0
0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 0 into 0
0.739 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a1))) 2)) (* 1 (pow (* (/ 1 (/ 1 a2)) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.740 * [backup-simplify]: Simplify (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
0.740 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in (a1 a2) around 0
0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.740 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.740 * [taylor]: Taking taylor expansion of a2 in a2
0.740 * [backup-simplify]: Simplify 0 into 0
0.740 * [backup-simplify]: Simplify 1 into 1
0.741 * [backup-simplify]: Simplify (* 1 1) into 1
0.741 * [backup-simplify]: Simplify (/ 1 1) into 1
0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
0.741 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
0.741 * [taylor]: Taking taylor expansion of a1 in a2
0.741 * [backup-simplify]: Simplify a1 into a1
0.741 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
0.741 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.741 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.741 * [taylor]: Taking taylor expansion of a2 in a1
0.741 * [backup-simplify]: Simplify a2 into a2
0.741 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.741 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.742 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.742 * [taylor]: Taking taylor expansion of a1 in a1
0.742 * [backup-simplify]: Simplify 0 into 0
0.742 * [backup-simplify]: Simplify 1 into 1
0.742 * [backup-simplify]: Simplify (* 1 1) into 1
0.742 * [backup-simplify]: Simplify (/ 1 1) into 1
0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
0.742 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
0.742 * [taylor]: Taking taylor expansion of a2 in a1
0.742 * [backup-simplify]: Simplify a2 into a2
0.743 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
0.743 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
0.743 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
0.743 * [taylor]: Taking taylor expansion of a1 in a1
0.743 * [backup-simplify]: Simplify 0 into 0
0.743 * [backup-simplify]: Simplify 1 into 1
0.743 * [backup-simplify]: Simplify (* 1 1) into 1
0.744 * [backup-simplify]: Simplify (/ 1 1) into 1
0.744 * [backup-simplify]: Simplify (+ 0 1) into 1
0.744 * [taylor]: Taking taylor expansion of 1 in a2
0.744 * [backup-simplify]: Simplify 1 into 1
0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (+ 0 0) into 0
0.746 * [taylor]: Taking taylor expansion of 0 in a2
0.746 * [backup-simplify]: Simplify 0 into 0
0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.748 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
0.748 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
0.748 * [taylor]: Taking taylor expansion of a2 in a2
0.749 * [backup-simplify]: Simplify 0 into 0
0.749 * [backup-simplify]: Simplify 1 into 1
0.749 * [backup-simplify]: Simplify (* 1 1) into 1
0.749 * [backup-simplify]: Simplify (/ 1 1) into 1
0.749 * [backup-simplify]: Simplify 1 into 1
0.749 * [backup-simplify]: Simplify 1 into 1
0.750 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
0.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.752 * [backup-simplify]: Simplify (+ 0 0) into 0
0.752 * [taylor]: Taking taylor expansion of 0 in a2
0.752 * [backup-simplify]: Simplify 0 into 0
0.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.754 * [backup-simplify]: Simplify 0 into 0
0.754 * [backup-simplify]: Simplify 0 into 0
0.754 * [backup-simplify]: Simplify 0 into 0
0.755 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
0.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.758 * [backup-simplify]: Simplify (+ 0 0) into 0
0.758 * [taylor]: Taking taylor expansion of 0 in a2
0.758 * [backup-simplify]: Simplify 0 into 0
0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify 0 into 0
0.760 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a1)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- a2))) 1) 2))) into (+ (pow a2 2) (pow a1 2))
0.760 * * * [progress]: simplifying candidates
0.765 * [simplify]: Simplifying:
  (- (log (+ (* a1 a1) (* a2 a2))) (- (log (sqrt 2.0)) (log (cos th))))
  (- (log (+ (* a1 a1) (* a2 a2))) (log (/ (sqrt 2.0) (cos th))))
  (log (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (exp (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th))))
  (/ (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2))) (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th))))
  (* (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))))
  (cbrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (* (* (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))) (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (sqrt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th))))
  (- (+ (* a1 a1) (* a2 a2)))
  (- (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt 1) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ 1 (sqrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (/ 1 1))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) 1)
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt 2.0))
  (/ (cbrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 1) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 1))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) 1)
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ 1 (cos th)))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (cbrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ 1 (/ (sqrt 1) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cbrt (cos th))))
  (/ 1 (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (sqrt (cos th))))
  (/ 1 (/ 1 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ 1 1)
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2.0) (cos th)))
  (/ 1 (sqrt 2.0))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (cos th)))
  (/ 1 (/ (sqrt 2.0) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 1) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt (sqrt 2.0)) 1))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt (cos th))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ 1 1))
  (/ (+ (* a1 a1) (* a2 a2)) 1)
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (/ (/ (sqrt 2.0) (cos th)) (cbrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (* a2 a2)))
  (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0))
  (* (/ (sqrt 2.0) (cos th)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))
  (* (/ (sqrt 2.0) (cos th)) (- (* a1 a1) (* a2 a2)))
  (- (log (sqrt 2.0)) (log (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (cos th) (cos th)) (cos th)))
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (* (* (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th))) (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1)
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ (sqrt 1) (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 1) 1)
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt (sqrt 2.0)) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) 1)
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ 1 1)
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (/ (sqrt 2.0) 1)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (* (exp (* a1 a1)) (exp (* a2 a2)))
  (log (+ (* a1 a1) (* a2 a2)))
  (exp (+ (* a1 a1) (* a2 a2)))
  (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))
  (cbrt (+ (* a1 a1) (* a2 a2)))
  (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))
  (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))
  (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))
  (- (* a1 a1) (* a2 a2))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (sqrt 2.0) (+ (* 1/2 (* (sqrt 2.0) (pow th 2))) (* 5/24 (* (sqrt 2.0) (pow th 4)))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
  (+ (pow a2 2) (pow a1 2))
0.772 * * [simplify]: iteration 0: 250 enodes
0.864 * * [simplify]: iteration 1: 680 enodes
1.324 * * [simplify]: iteration 2: 4529 enodes
2.367 * * [simplify]: iteration complete: 5000 enodes
2.367 * * [simplify]: Extracting #0: cost 163 inf + 0
2.370 * * [simplify]: Extracting #1: cost 1177 inf + 1
2.375 * * [simplify]: Extracting #2: cost 1792 inf + 23
2.384 * * [simplify]: Extracting #3: cost 1681 inf + 1193
2.398 * * [simplify]: Extracting #4: cost 1211 inf + 4025
2.417 * * [simplify]: Extracting #5: cost 484 inf + 13393
2.429 * * [simplify]: Extracting #6: cost 54 inf + 20355
2.441 * * [simplify]: Extracting #7: cost 0 inf + 21494
2.453 * * [simplify]: Extracting #8: cost 0 inf + 21488
2.467 * [simplify]: Simplified to:
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (log (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (exp (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (* (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))) (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))))
  (cbrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (pow (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)) 3)
  (sqrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (sqrt (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0)))
  (- (- (* a1 a1)) (pow a2 2))
  (/ (- (sqrt 2.0)) (cos th))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (/ (sqrt 2.0) (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (cbrt (cos th)) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (fabs (cbrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (sqrt (cos th)))
  (/ (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (fabs (cbrt 2.0)))
  (* (cos th) (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (/ (cbrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (cos th)) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (cbrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cos th))
  (/ (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th)))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (cos th))) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (sqrt (cos th)) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (cbrt (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (cos th))) (sqrt (cbrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (fabs (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (fabs (cbrt 2.0)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (cos th))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cbrt (cos th))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (sqrt (cos th))))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 2.0) (cos th)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (cbrt (/ (sqrt 2.0) (cos th))))
  (/ 1 (sqrt (/ (sqrt 2.0) (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (* (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (cbrt (sqrt 2.0)) (cbrt (cos th))))
  (* (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (cbrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (cbrt (sqrt 2.0)))
  (* (* (/ 1 (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (cbrt 2.0)) (cbrt (cos th))))
  (* (/ 1 (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (cbrt 2.0)) (sqrt (cos th))))
  (/ 1 (fabs (cbrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (cbrt 2.0))) (cos th))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (/ (sqrt (cos th)) (sqrt (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (* (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0)) (cbrt (cos th)))
  (sqrt (cos th))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt 2.0) (sqrt (cos th))))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  1
  (/ (* (+ (* a1 a1) (pow a2 2)) (cos th)) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (* (+ (* a1 a1) (pow a2 2)) (cos th))
  (* (/ 1 (sqrt 2.0)) (cos th))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th)))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (/ (sqrt 2.0) (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th)))) (cbrt (cos th)))
  (* (sqrt (cos th)) (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (pow a2 2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0))) (sqrt (cos th)))
  (/ (+ (* a1 a1) (pow a2 2)) (fabs (cbrt 2.0)))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (pow a2 2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (pow a2 2)) (sqrt (cos th)))
  (+ (* a1 a1) (pow a2 2))
  (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (pow a2 2)) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt (sqrt 2.0)))
  (* (* (+ (* a1 a1) (pow a2 2)) (cbrt (cos th))) (cbrt (cos th)))
  (* (+ (* a1 a1) (pow a2 2)) (sqrt (cos th)))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (/ (/ (sqrt 2.0) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))
  (/ (+ (* a1 a1) (pow a2 2)) (sqrt 2.0))
  (* (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (pow a1 4)) (/ (sqrt 2.0) (cos th)))
  (* (/ (sqrt 2.0) (cos th)) (* (+ a1 a2) (- a1 a2)))
  (log (/ (sqrt 2.0) (cos th)))
  (log (/ (sqrt 2.0) (cos th)))
  (exp (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (* (cbrt (/ (sqrt 2.0) (cos th))) (cbrt (/ (sqrt 2.0) (cos th))))
  (cbrt (/ (sqrt 2.0) (cos th)))
  (pow (/ (sqrt 2.0) (cos th)) 3)
  (sqrt (/ (sqrt 2.0) (cos th)))
  (sqrt (/ (sqrt 2.0) (cos th)))
  (- (sqrt 2.0))
  (- (cos th))
  (/ (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (cbrt (sqrt 2.0)) (cbrt (cos th)))
  (* (/ (cbrt (sqrt 2.0)) (sqrt (cos th))) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (sqrt (cos th)))
  (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (/ (/ (fabs (cbrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (cbrt (cos th)))
  (/ (fabs (cbrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (cbrt 2.0)) (sqrt (cos th)))
  (fabs (cbrt 2.0))
  (/ (sqrt (cbrt 2.0)) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (cbrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (/ (sqrt (sqrt 2.0)) (sqrt (cos th)))
  (sqrt (sqrt 2.0))
  (/ (sqrt (sqrt 2.0)) (cos th))
  (/ (/ 1 (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt 2.0) (cbrt (cos th)))
  (/ 1 (sqrt (cos th)))
  (/ (sqrt 2.0) (sqrt (cos th)))
  1
  (/ (sqrt 2.0) (cos th))
  (/ 1 (cos th))
  (/ (cos th) (sqrt 2.0))
  (/ (sqrt 2.0) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt 2.0) (sqrt (cos th)))
  (sqrt 2.0)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (cos th) (sqrt (cbrt 2.0)))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (/ (cos th) (sqrt (sqrt 2.0)))
  (/ (cos th) (sqrt 2.0))
  (exp (+ (* a1 a1) (pow a2 2)))
  (log (+ (* a1 a1) (pow a2 2)))
  (exp (+ (* a1 a1) (pow a2 2)))
  (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))
  (cbrt (+ (* a1 a1) (pow a2 2)))
  (pow (+ (* a1 a1) (pow a2 2)) 3)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (+ (pow a1 6) (pow a2 6))
  (+ (* (pow a2 2) (- (pow a2 2) (* a1 a1))) (pow a1 4))
  (- (pow a1 4) (pow a2 4))
  (* (+ a1 a2) (- a1 a2))
  (+ (/ (* a1 a1) (sqrt 2.0)) (/ a2 (/ (sqrt 2.0) a2)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (/ (cos th) (/ (/ (sqrt 2.0) a2) a2)) (* (/ (* a1 a1) (sqrt 2.0)) (cos th)))
  (+ (sqrt 2.0) (+ (* (* 5/24 (sqrt 2.0)) (pow th 4)) (* (* 1/2 (* th th)) (sqrt 2.0))))
  (/ (sqrt 2.0) (cos th))
  (/ (sqrt 2.0) (cos th))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
  (+ (* a1 a1) (pow a2 2))
2.469 * * * [progress]: adding candidates to table
3.408 * * [progress]: iteration 2 / 4
3.408 * * * [progress]: picking best candidate
3.460 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))>
3.460 * * * [progress]: localizing error
3.508 * * * [progress]: generating rewritten candidates
3.508 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
3.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
3.556 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
3.603 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
3.748 * * * [progress]: generating series expansions
3.748 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
3.749 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (pow a2 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
3.749 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
3.749 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
3.749 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
3.749 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.749 * [taylor]: Taking taylor expansion of a2 in a2
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 1 into 1
3.749 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.749 * [taylor]: Taking taylor expansion of a1 in a2
3.749 * [backup-simplify]: Simplify a1 into a1
3.749 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.749 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
3.749 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
3.749 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.750 * [backup-simplify]: Simplify (+ 0 0) into 0
3.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
3.750 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.750 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.750 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.750 * [taylor]: Taking taylor expansion of a2 in a1
3.750 * [backup-simplify]: Simplify a2 into a2
3.750 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.750 * [taylor]: Taking taylor expansion of a1 in a1
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.751 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.751 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.751 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.751 * [backup-simplify]: Simplify (+ 0 0) into 0
3.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.751 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.751 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.751 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.751 * [taylor]: Taking taylor expansion of a2 in a1
3.751 * [backup-simplify]: Simplify a2 into a2
3.751 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.751 * [taylor]: Taking taylor expansion of a1 in a1
3.751 * [backup-simplify]: Simplify 0 into 0
3.751 * [backup-simplify]: Simplify 1 into 1
3.751 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.752 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.752 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.752 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.752 * [backup-simplify]: Simplify (+ 0 0) into 0
3.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.752 * [taylor]: Taking taylor expansion of a2 in a2
3.752 * [backup-simplify]: Simplify 0 into 0
3.752 * [backup-simplify]: Simplify 1 into 1
3.752 * [backup-simplify]: Simplify 0 into 0
3.753 * [taylor]: Taking taylor expansion of 0 in a2
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify 1 into 1
3.753 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
3.753 * [backup-simplify]: Simplify (* 1 1) into 1
3.754 * [backup-simplify]: Simplify (+ 0 1) into 1
3.755 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
3.755 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
3.755 * [taylor]: Taking taylor expansion of 1/2 in a2
3.755 * [backup-simplify]: Simplify 1/2 into 1/2
3.755 * [taylor]: Taking taylor expansion of a2 in a2
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.756 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify 0 into 0
3.756 * [backup-simplify]: Simplify 0 into 0
3.757 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.757 * [backup-simplify]: Simplify (+ 0 0) into 0
3.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
3.758 * [taylor]: Taking taylor expansion of 0 in a2
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
3.759 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.759 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.759 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.759 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.759 * [taylor]: Taking taylor expansion of a2 in a2
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 1 into 1
3.760 * [backup-simplify]: Simplify (* 1 1) into 1
3.760 * [backup-simplify]: Simplify (/ 1 1) into 1
3.760 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.760 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.760 * [taylor]: Taking taylor expansion of a1 in a2
3.760 * [backup-simplify]: Simplify a1 into a1
3.760 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.760 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.761 * [backup-simplify]: Simplify (+ 1 0) into 1
3.761 * [backup-simplify]: Simplify (sqrt 1) into 1
3.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.763 * [backup-simplify]: Simplify (+ 0 0) into 0
3.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.764 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.764 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.764 * [taylor]: Taking taylor expansion of a2 in a1
3.764 * [backup-simplify]: Simplify a2 into a2
3.764 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.764 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.764 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.764 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.764 * [taylor]: Taking taylor expansion of a1 in a1
3.764 * [backup-simplify]: Simplify 0 into 0
3.764 * [backup-simplify]: Simplify 1 into 1
3.764 * [backup-simplify]: Simplify (* 1 1) into 1
3.765 * [backup-simplify]: Simplify (/ 1 1) into 1
3.765 * [backup-simplify]: Simplify (+ 0 1) into 1
3.766 * [backup-simplify]: Simplify (sqrt 1) into 1
3.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.767 * [backup-simplify]: Simplify (+ 0 0) into 0
3.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.768 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.768 * [taylor]: Taking taylor expansion of a2 in a1
3.768 * [backup-simplify]: Simplify a2 into a2
3.768 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.768 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.768 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.768 * [taylor]: Taking taylor expansion of a1 in a1
3.768 * [backup-simplify]: Simplify 0 into 0
3.768 * [backup-simplify]: Simplify 1 into 1
3.769 * [backup-simplify]: Simplify (* 1 1) into 1
3.769 * [backup-simplify]: Simplify (/ 1 1) into 1
3.770 * [backup-simplify]: Simplify (+ 0 1) into 1
3.770 * [backup-simplify]: Simplify (sqrt 1) into 1
3.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.772 * [backup-simplify]: Simplify (+ 0 0) into 0
3.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.773 * [taylor]: Taking taylor expansion of 1 in a2
3.773 * [backup-simplify]: Simplify 1 into 1
3.773 * [taylor]: Taking taylor expansion of 0 in a2
3.773 * [backup-simplify]: Simplify 0 into 0
3.773 * [backup-simplify]: Simplify 1 into 1
3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.776 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.777 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.777 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.777 * [taylor]: Taking taylor expansion of 1/2 in a2
3.777 * [backup-simplify]: Simplify 1/2 into 1/2
3.777 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.777 * [taylor]: Taking taylor expansion of a2 in a2
3.777 * [backup-simplify]: Simplify 0 into 0
3.777 * [backup-simplify]: Simplify 1 into 1
3.778 * [backup-simplify]: Simplify (* 1 1) into 1
3.778 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.780 * [backup-simplify]: Simplify 0 into 0
3.780 * [backup-simplify]: Simplify 0 into 0
3.780 * [backup-simplify]: Simplify 0 into 0
3.780 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.783 * [backup-simplify]: Simplify (+ 0 0) into 0
3.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.783 * [taylor]: Taking taylor expansion of 0 in a2
3.783 * [backup-simplify]: Simplify 0 into 0
3.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
3.786 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.786 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.786 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.786 * [taylor]: Taking taylor expansion of a2 in a2
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 1 into 1
3.787 * [backup-simplify]: Simplify (* 1 1) into 1
3.787 * [backup-simplify]: Simplify (/ 1 1) into 1
3.787 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.787 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.787 * [taylor]: Taking taylor expansion of a1 in a2
3.787 * [backup-simplify]: Simplify a1 into a1
3.787 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.788 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.788 * [backup-simplify]: Simplify (+ 1 0) into 1
3.789 * [backup-simplify]: Simplify (sqrt 1) into 1
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.790 * [backup-simplify]: Simplify (+ 0 0) into 0
3.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.791 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.791 * [taylor]: Taking taylor expansion of a2 in a1
3.791 * [backup-simplify]: Simplify a2 into a2
3.791 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.792 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.792 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.792 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.792 * [taylor]: Taking taylor expansion of a1 in a1
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 1 into 1
3.792 * [backup-simplify]: Simplify (* 1 1) into 1
3.792 * [backup-simplify]: Simplify (/ 1 1) into 1
3.793 * [backup-simplify]: Simplify (+ 0 1) into 1
3.793 * [backup-simplify]: Simplify (sqrt 1) into 1
3.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.795 * [backup-simplify]: Simplify (+ 0 0) into 0
3.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.796 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.796 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.796 * [taylor]: Taking taylor expansion of a2 in a1
3.796 * [backup-simplify]: Simplify a2 into a2
3.796 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.796 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.796 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.796 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.796 * [taylor]: Taking taylor expansion of a1 in a1
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.797 * [backup-simplify]: Simplify (* 1 1) into 1
3.797 * [backup-simplify]: Simplify (/ 1 1) into 1
3.797 * [backup-simplify]: Simplify (+ 0 1) into 1
3.798 * [backup-simplify]: Simplify (sqrt 1) into 1
3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.800 * [backup-simplify]: Simplify (+ 0 0) into 0
3.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.800 * [taylor]: Taking taylor expansion of 1 in a2
3.800 * [backup-simplify]: Simplify 1 into 1
3.800 * [taylor]: Taking taylor expansion of 0 in a2
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify 1 into 1
3.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.804 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.804 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.804 * [taylor]: Taking taylor expansion of 1/2 in a2
3.804 * [backup-simplify]: Simplify 1/2 into 1/2
3.804 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.804 * [taylor]: Taking taylor expansion of a2 in a2
3.804 * [backup-simplify]: Simplify 0 into 0
3.804 * [backup-simplify]: Simplify 1 into 1
3.805 * [backup-simplify]: Simplify (* 1 1) into 1
3.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.810 * [backup-simplify]: Simplify (+ 0 0) into 0
3.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.811 * [taylor]: Taking taylor expansion of 0 in a2
3.811 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
3.814 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
3.814 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (pow a2 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
3.814 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
3.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
3.814 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
3.814 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.814 * [taylor]: Taking taylor expansion of a2 in a2
3.814 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify 1 into 1
3.814 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.814 * [taylor]: Taking taylor expansion of a1 in a2
3.814 * [backup-simplify]: Simplify a1 into a1
3.814 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.815 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
3.815 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
3.815 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.816 * [backup-simplify]: Simplify (+ 0 0) into 0
3.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
3.816 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.816 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.816 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.816 * [taylor]: Taking taylor expansion of a2 in a1
3.816 * [backup-simplify]: Simplify a2 into a2
3.816 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.816 * [taylor]: Taking taylor expansion of a1 in a1
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 1 into 1
3.816 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.816 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.816 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.816 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.817 * [backup-simplify]: Simplify (+ 0 0) into 0
3.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.817 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.817 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.817 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.817 * [taylor]: Taking taylor expansion of a2 in a1
3.817 * [backup-simplify]: Simplify a2 into a2
3.817 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.817 * [taylor]: Taking taylor expansion of a1 in a1
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 1 into 1
3.817 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.818 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.818 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.818 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.818 * [backup-simplify]: Simplify (+ 0 0) into 0
3.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.818 * [taylor]: Taking taylor expansion of a2 in a2
3.818 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 1 into 1
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [taylor]: Taking taylor expansion of 0 in a2
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 1 into 1
3.819 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
3.820 * [backup-simplify]: Simplify (* 1 1) into 1
3.820 * [backup-simplify]: Simplify (+ 0 1) into 1
3.821 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
3.821 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
3.821 * [taylor]: Taking taylor expansion of 1/2 in a2
3.821 * [backup-simplify]: Simplify 1/2 into 1/2
3.821 * [taylor]: Taking taylor expansion of a2 in a2
3.821 * [backup-simplify]: Simplify 0 into 0
3.821 * [backup-simplify]: Simplify 1 into 1
3.821 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
3.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.824 * [backup-simplify]: Simplify (+ 0 0) into 0
3.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
3.825 * [taylor]: Taking taylor expansion of 0 in a2
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
3.826 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.826 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.827 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.827 * [taylor]: Taking taylor expansion of a2 in a2
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (* 1 1) into 1
3.828 * [backup-simplify]: Simplify (/ 1 1) into 1
3.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.828 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.828 * [taylor]: Taking taylor expansion of a1 in a2
3.828 * [backup-simplify]: Simplify a1 into a1
3.828 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.828 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.828 * [backup-simplify]: Simplify (+ 1 0) into 1
3.829 * [backup-simplify]: Simplify (sqrt 1) into 1
3.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.831 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.832 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.832 * [taylor]: Taking taylor expansion of a2 in a1
3.832 * [backup-simplify]: Simplify a2 into a2
3.832 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.832 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.833 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.833 * [taylor]: Taking taylor expansion of a1 in a1
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (* 1 1) into 1
3.833 * [backup-simplify]: Simplify (/ 1 1) into 1
3.838 * [backup-simplify]: Simplify (+ 0 1) into 1
3.839 * [backup-simplify]: Simplify (sqrt 1) into 1
3.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.841 * [backup-simplify]: Simplify (+ 0 0) into 0
3.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.842 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.842 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.842 * [taylor]: Taking taylor expansion of a2 in a1
3.842 * [backup-simplify]: Simplify a2 into a2
3.842 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.842 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.842 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.842 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.843 * [taylor]: Taking taylor expansion of a1 in a1
3.843 * [backup-simplify]: Simplify 0 into 0
3.843 * [backup-simplify]: Simplify 1 into 1
3.843 * [backup-simplify]: Simplify (* 1 1) into 1
3.843 * [backup-simplify]: Simplify (/ 1 1) into 1
3.844 * [backup-simplify]: Simplify (+ 0 1) into 1
3.844 * [backup-simplify]: Simplify (sqrt 1) into 1
3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.846 * [backup-simplify]: Simplify (+ 0 0) into 0
3.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.847 * [taylor]: Taking taylor expansion of 1 in a2
3.847 * [backup-simplify]: Simplify 1 into 1
3.847 * [taylor]: Taking taylor expansion of 0 in a2
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 1 into 1
3.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.849 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.850 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.850 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.850 * [taylor]: Taking taylor expansion of 1/2 in a2
3.851 * [backup-simplify]: Simplify 1/2 into 1/2
3.851 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.851 * [taylor]: Taking taylor expansion of a2 in a2
3.851 * [backup-simplify]: Simplify 0 into 0
3.851 * [backup-simplify]: Simplify 1 into 1
3.851 * [backup-simplify]: Simplify (* 1 1) into 1
3.851 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.856 * [backup-simplify]: Simplify (+ 0 0) into 0
3.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.857 * [taylor]: Taking taylor expansion of 0 in a2
3.857 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
3.859 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
3.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
3.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.860 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.860 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.860 * [taylor]: Taking taylor expansion of a2 in a2
3.860 * [backup-simplify]: Simplify 0 into 0
3.860 * [backup-simplify]: Simplify 1 into 1
3.860 * [backup-simplify]: Simplify (* 1 1) into 1
3.860 * [backup-simplify]: Simplify (/ 1 1) into 1
3.860 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.861 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.861 * [taylor]: Taking taylor expansion of a1 in a2
3.861 * [backup-simplify]: Simplify a1 into a1
3.861 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.861 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.861 * [backup-simplify]: Simplify (+ 1 0) into 1
3.862 * [backup-simplify]: Simplify (sqrt 1) into 1
3.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.864 * [backup-simplify]: Simplify (+ 0 0) into 0
3.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.864 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.864 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.864 * [taylor]: Taking taylor expansion of a2 in a1
3.865 * [backup-simplify]: Simplify a2 into a2
3.865 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.865 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.865 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.865 * [taylor]: Taking taylor expansion of a1 in a1
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 1 into 1
3.866 * [backup-simplify]: Simplify (* 1 1) into 1
3.866 * [backup-simplify]: Simplify (/ 1 1) into 1
3.867 * [backup-simplify]: Simplify (+ 0 1) into 1
3.867 * [backup-simplify]: Simplify (sqrt 1) into 1
3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.869 * [backup-simplify]: Simplify (+ 0 0) into 0
3.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.870 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.870 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.870 * [taylor]: Taking taylor expansion of a2 in a1
3.870 * [backup-simplify]: Simplify a2 into a2
3.870 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.870 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.870 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.870 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.870 * [taylor]: Taking taylor expansion of a1 in a1
3.870 * [backup-simplify]: Simplify 0 into 0
3.870 * [backup-simplify]: Simplify 1 into 1
3.871 * [backup-simplify]: Simplify (* 1 1) into 1
3.871 * [backup-simplify]: Simplify (/ 1 1) into 1
3.872 * [backup-simplify]: Simplify (+ 0 1) into 1
3.872 * [backup-simplify]: Simplify (sqrt 1) into 1
3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.874 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.875 * [taylor]: Taking taylor expansion of 1 in a2
3.875 * [backup-simplify]: Simplify 1 into 1
3.875 * [taylor]: Taking taylor expansion of 0 in a2
3.875 * [backup-simplify]: Simplify 0 into 0
3.875 * [backup-simplify]: Simplify 1 into 1
3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.877 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.879 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
3.879 * [taylor]: Taking taylor expansion of 1/2 in a2
3.879 * [backup-simplify]: Simplify 1/2 into 1/2
3.879 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.879 * [taylor]: Taking taylor expansion of a2 in a2
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 1 into 1
3.879 * [backup-simplify]: Simplify (* 1 1) into 1
3.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.884 * [backup-simplify]: Simplify (+ 0 0) into 0
3.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.885 * [taylor]: Taking taylor expansion of 0 in a2
3.885 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
3.887 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
3.888 * [backup-simplify]: Simplify (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) into (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2))))
3.888 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in (a1 a2) around 0
3.888 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a2
3.888 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
3.888 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.888 * [taylor]: Taking taylor expansion of 2.0 in a2
3.888 * [backup-simplify]: Simplify 2.0 into 2.0
3.889 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.890 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
3.890 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
3.890 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.890 * [taylor]: Taking taylor expansion of a2 in a2
3.890 * [backup-simplify]: Simplify 0 into 0
3.891 * [backup-simplify]: Simplify 1 into 1
3.891 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.891 * [taylor]: Taking taylor expansion of a1 in a2
3.891 * [backup-simplify]: Simplify a1 into a1
3.891 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.891 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
3.891 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
3.891 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
3.891 * [backup-simplify]: Simplify (+ 0 0) into 0
3.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
3.892 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1
3.892 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
3.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.892 * [taylor]: Taking taylor expansion of 2.0 in a1
3.892 * [backup-simplify]: Simplify 2.0 into 2.0
3.892 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.894 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.894 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.894 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.894 * [taylor]: Taking taylor expansion of a2 in a1
3.894 * [backup-simplify]: Simplify a2 into a2
3.894 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.894 * [taylor]: Taking taylor expansion of a1 in a1
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.894 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.894 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.895 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.895 * [backup-simplify]: Simplify (+ 0 0) into 0
3.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.895 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1
3.895 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
3.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.895 * [taylor]: Taking taylor expansion of 2.0 in a1
3.895 * [backup-simplify]: Simplify 2.0 into 2.0
3.896 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.897 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.897 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
3.897 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
3.897 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.897 * [taylor]: Taking taylor expansion of a2 in a1
3.897 * [backup-simplify]: Simplify a2 into a2
3.897 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.898 * [taylor]: Taking taylor expansion of a1 in a1
3.898 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify 1 into 1
3.898 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.898 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
3.898 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
3.898 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.898 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
3.900 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) a2) into (/ a2 (sqrt 2.0))
3.900 * [taylor]: Taking taylor expansion of (/ a2 (sqrt 2.0)) in a2
3.900 * [taylor]: Taking taylor expansion of a2 in a2
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify 1 into 1
3.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.900 * [taylor]: Taking taylor expansion of 2.0 in a2
3.900 * [backup-simplify]: Simplify 2.0 into 2.0
3.900 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.902 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.904 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (* 0 a2)) into 0
3.905 * [taylor]: Taking taylor expansion of 0 in a2
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.906 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
3.907 * [backup-simplify]: Simplify (* 1 1) into 1
3.907 * [backup-simplify]: Simplify (+ 0 1) into 1
3.908 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
3.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.912 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (/ 1/2 a2)) (+ (* 0 0) (* 0 a2))) into (* 1/2 (/ 1 (* (sqrt 2.0) a2)))
3.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) a2))) in a2
3.912 * [taylor]: Taking taylor expansion of 1/2 in a2
3.912 * [backup-simplify]: Simplify 1/2 into 1/2
3.912 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) a2)) in a2
3.912 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2
3.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.912 * [taylor]: Taking taylor expansion of 2.0 in a2
3.912 * [backup-simplify]: Simplify 2.0 into 2.0
3.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.913 * [taylor]: Taking taylor expansion of a2 in a2
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.914 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.915 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
3.916 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.917 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0
3.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.919 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.920 * [backup-simplify]: Simplify (+ 0 0) into 0
3.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
3.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.923 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (+ (* 0 (/ 1/2 a2)) (+ (* 0 0) (* 0 a2)))) into 0
3.923 * [taylor]: Taking taylor expansion of 0 in a2
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.924 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2.0))))) into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) (* a2 1)) into (/ a2 (sqrt 2.0))
3.927 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (sqrt 2.0)) into (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
3.927 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a1 a2) around 0
3.927 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
3.927 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
3.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.927 * [taylor]: Taking taylor expansion of 2.0 in a2
3.927 * [backup-simplify]: Simplify 2.0 into 2.0
3.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.929 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.929 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.929 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.929 * [taylor]: Taking taylor expansion of a2 in a2
3.929 * [backup-simplify]: Simplify 0 into 0
3.929 * [backup-simplify]: Simplify 1 into 1
3.929 * [backup-simplify]: Simplify (* 1 1) into 1
3.929 * [backup-simplify]: Simplify (/ 1 1) into 1
3.929 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.929 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.929 * [taylor]: Taking taylor expansion of a1 in a2
3.929 * [backup-simplify]: Simplify a1 into a1
3.929 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.929 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.930 * [backup-simplify]: Simplify (+ 1 0) into 1
3.930 * [backup-simplify]: Simplify (sqrt 1) into 1
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (+ 0 0) into 0
3.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.932 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
3.932 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
3.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.932 * [taylor]: Taking taylor expansion of 2.0 in a1
3.932 * [backup-simplify]: Simplify 2.0 into 2.0
3.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.933 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.933 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.933 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.933 * [taylor]: Taking taylor expansion of a2 in a1
3.933 * [backup-simplify]: Simplify a2 into a2
3.933 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.933 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.933 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.933 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.933 * [taylor]: Taking taylor expansion of a1 in a1
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 1 into 1
3.934 * [backup-simplify]: Simplify (* 1 1) into 1
3.934 * [backup-simplify]: Simplify (/ 1 1) into 1
3.934 * [backup-simplify]: Simplify (+ 0 1) into 1
3.935 * [backup-simplify]: Simplify (sqrt 1) into 1
3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.936 * [backup-simplify]: Simplify (+ 0 0) into 0
3.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.937 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
3.937 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
3.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.937 * [taylor]: Taking taylor expansion of 2.0 in a1
3.937 * [backup-simplify]: Simplify 2.0 into 2.0
3.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.939 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.940 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.940 * [taylor]: Taking taylor expansion of a2 in a1
3.940 * [backup-simplify]: Simplify a2 into a2
3.940 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.940 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.940 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.940 * [taylor]: Taking taylor expansion of a1 in a1
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.941 * [backup-simplify]: Simplify (* 1 1) into 1
3.941 * [backup-simplify]: Simplify (/ 1 1) into 1
3.941 * [backup-simplify]: Simplify (+ 0 1) into 1
3.942 * [backup-simplify]: Simplify (sqrt 1) into 1
3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.944 * [backup-simplify]: Simplify (+ 0 0) into 0
3.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.946 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) 1) into (/ 1 (sqrt 2.0))
3.946 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
3.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.946 * [taylor]: Taking taylor expansion of 2.0 in a2
3.946 * [backup-simplify]: Simplify 2.0 into 2.0
3.947 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.948 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.951 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (* 0 1)) into 0
3.951 * [taylor]: Taking taylor expansion of 0 in a2
3.951 * [backup-simplify]: Simplify 0 into 0
3.952 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.954 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
3.955 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
3.956 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.959 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (* (sqrt 2.0) (pow a2 2))))
3.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) (pow a2 2)))) in a2
3.960 * [taylor]: Taking taylor expansion of 1/2 in a2
3.960 * [backup-simplify]: Simplify 1/2 into 1/2
3.960 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (pow a2 2))) in a2
3.960 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
3.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.960 * [taylor]: Taking taylor expansion of 2.0 in a2
3.960 * [backup-simplify]: Simplify 2.0 into 2.0
3.960 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.961 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.961 * [taylor]: Taking taylor expansion of a2 in a2
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.961 * [backup-simplify]: Simplify (* 1 1) into 1
3.962 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
3.963 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.965 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
3.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify 0 into 0
3.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
3.967 * [backup-simplify]: Simplify 0 into 0
3.968 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
3.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.969 * [backup-simplify]: Simplify (+ 0 0) into 0
3.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
3.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.976 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
3.977 * [taylor]: Taking taylor expansion of 0 in a2
3.977 * [backup-simplify]: Simplify 0 into 0
3.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.979 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
3.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2.0))))) into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
3.982 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) (* 1 (/ 1 (/ 1 a1)))) into (/ a1 (sqrt 2.0))
3.984 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (sqrt 2.0)) into (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))
3.984 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in (a1 a2) around 0
3.984 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
3.984 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
3.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
3.984 * [taylor]: Taking taylor expansion of 2.0 in a2
3.984 * [backup-simplify]: Simplify 2.0 into 2.0
3.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.985 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
3.985 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
3.985 * [taylor]: Taking taylor expansion of a2 in a2
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [backup-simplify]: Simplify (* 1 1) into 1
3.986 * [backup-simplify]: Simplify (/ 1 1) into 1
3.986 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
3.986 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
3.986 * [taylor]: Taking taylor expansion of a1 in a2
3.986 * [backup-simplify]: Simplify a1 into a1
3.986 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
3.986 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
3.986 * [backup-simplify]: Simplify (+ 1 0) into 1
3.986 * [backup-simplify]: Simplify (sqrt 1) into 1
3.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.987 * [backup-simplify]: Simplify (+ 0 0) into 0
3.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.988 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
3.988 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
3.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.988 * [taylor]: Taking taylor expansion of 2.0 in a1
3.988 * [backup-simplify]: Simplify 2.0 into 2.0
3.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.989 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.989 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.989 * [taylor]: Taking taylor expansion of a2 in a1
3.989 * [backup-simplify]: Simplify a2 into a2
3.989 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.990 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.990 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.990 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.990 * [taylor]: Taking taylor expansion of a1 in a1
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (* 1 1) into 1
3.990 * [backup-simplify]: Simplify (/ 1 1) into 1
3.990 * [backup-simplify]: Simplify (+ 0 1) into 1
3.991 * [backup-simplify]: Simplify (sqrt 1) into 1
3.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.992 * [backup-simplify]: Simplify (+ 0 0) into 0
3.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.992 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
3.992 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
3.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
3.992 * [taylor]: Taking taylor expansion of 2.0 in a1
3.992 * [backup-simplify]: Simplify 2.0 into 2.0
3.993 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.994 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
3.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
3.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
3.994 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
3.994 * [taylor]: Taking taylor expansion of a2 in a1
3.994 * [backup-simplify]: Simplify a2 into a2
3.994 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
3.994 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
3.994 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
3.994 * [taylor]: Taking taylor expansion of a1 in a1
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify 1 into 1
3.994 * [backup-simplify]: Simplify (* 1 1) into 1
3.995 * [backup-simplify]: Simplify (/ 1 1) into 1
3.995 * [backup-simplify]: Simplify (+ 0 1) into 1
3.995 * [backup-simplify]: Simplify (sqrt 1) into 1
3.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.997 * [backup-simplify]: Simplify (+ 0 0) into 0
3.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.999 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) 1) into (/ 1 (sqrt 2.0))
3.999 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
3.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.000 * [taylor]: Taking taylor expansion of 2.0 in a2
4.000 * [backup-simplify]: Simplify 2.0 into 2.0
4.000 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.001 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.004 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (* 0 1)) into 0
4.004 * [taylor]: Taking taylor expansion of 0 in a2
4.004 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.007 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.008 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
4.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.012 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (* (sqrt 2.0) (pow a2 2))))
4.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) (pow a2 2)))) in a2
4.012 * [taylor]: Taking taylor expansion of 1/2 in a2
4.012 * [backup-simplify]: Simplify 1/2 into 1/2
4.012 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) (pow a2 2))) in a2
4.012 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.012 * [taylor]: Taking taylor expansion of 2.0 in a2
4.012 * [backup-simplify]: Simplify 2.0 into 2.0
4.013 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.014 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.014 * [taylor]: Taking taylor expansion of a2 in a2
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 1 into 1
4.014 * [backup-simplify]: Simplify (* 1 1) into 1
4.015 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.016 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.017 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2.0)))) into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
4.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.029 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.029 * [taylor]: Taking taylor expansion of 0 in a2
4.029 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.031 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.033 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2.0))))) into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.039 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify (* (/ 1 (sqrt 2.0)) (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 (/ a1 (sqrt 2.0)))
4.040 * * * * [progress]: [ 4 / 4 ] generating series at (2)
4.041 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
4.041 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
4.041 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
4.041 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
4.041 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
4.042 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.042 * [taylor]: Taking taylor expansion of a2 in th
4.042 * [backup-simplify]: Simplify a2 into a2
4.042 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.042 * [taylor]: Taking taylor expansion of a1 in th
4.042 * [backup-simplify]: Simplify a1 into a1
4.042 * [taylor]: Taking taylor expansion of (cos th) in th
4.042 * [taylor]: Taking taylor expansion of th in th
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify 1 into 1
4.042 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.042 * [taylor]: Taking taylor expansion of 2.0 in th
4.042 * [backup-simplify]: Simplify 2.0 into 2.0
4.042 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.043 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.043 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.043 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
4.044 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
4.044 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
4.044 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
4.044 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
4.045 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
4.045 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.045 * [taylor]: Taking taylor expansion of a2 in a2
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 1 into 1
4.045 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.045 * [taylor]: Taking taylor expansion of a1 in a2
4.045 * [backup-simplify]: Simplify a1 into a1
4.045 * [taylor]: Taking taylor expansion of (cos th) in a2
4.045 * [taylor]: Taking taylor expansion of th in a2
4.045 * [backup-simplify]: Simplify th into th
4.045 * [backup-simplify]: Simplify (cos th) into (cos th)
4.045 * [backup-simplify]: Simplify (sin th) into (sin th)
4.045 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.045 * [taylor]: Taking taylor expansion of 2.0 in a2
4.045 * [backup-simplify]: Simplify 2.0 into 2.0
4.045 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.046 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.046 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
4.047 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.047 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.047 * [backup-simplify]: Simplify (- 0) into 0
4.047 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.047 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
4.048 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
4.048 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.048 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.048 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.048 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.048 * [taylor]: Taking taylor expansion of a2 in a1
4.048 * [backup-simplify]: Simplify a2 into a2
4.048 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.048 * [taylor]: Taking taylor expansion of a1 in a1
4.048 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify 1 into 1
4.048 * [taylor]: Taking taylor expansion of (cos th) in a1
4.048 * [taylor]: Taking taylor expansion of th in a1
4.048 * [backup-simplify]: Simplify th into th
4.048 * [backup-simplify]: Simplify (cos th) into (cos th)
4.048 * [backup-simplify]: Simplify (sin th) into (sin th)
4.048 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.048 * [taylor]: Taking taylor expansion of 2.0 in a1
4.048 * [backup-simplify]: Simplify 2.0 into 2.0
4.049 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.050 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.050 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.050 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.050 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.050 * [backup-simplify]: Simplify (- 0) into 0
4.050 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.051 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.051 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.051 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
4.051 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
4.051 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
4.051 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.051 * [taylor]: Taking taylor expansion of a2 in a1
4.051 * [backup-simplify]: Simplify a2 into a2
4.051 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.051 * [taylor]: Taking taylor expansion of a1 in a1
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 1 into 1
4.051 * [taylor]: Taking taylor expansion of (cos th) in a1
4.052 * [taylor]: Taking taylor expansion of th in a1
4.052 * [backup-simplify]: Simplify th into th
4.052 * [backup-simplify]: Simplify (cos th) into (cos th)
4.052 * [backup-simplify]: Simplify (sin th) into (sin th)
4.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.052 * [taylor]: Taking taylor expansion of 2.0 in a1
4.052 * [backup-simplify]: Simplify 2.0 into 2.0
4.052 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.053 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.053 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
4.053 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.053 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.054 * [backup-simplify]: Simplify (- 0) into 0
4.054 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.054 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
4.055 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
4.055 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
4.055 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
4.055 * [taylor]: Taking taylor expansion of (cos th) in a2
4.055 * [taylor]: Taking taylor expansion of th in a2
4.055 * [backup-simplify]: Simplify th into th
4.055 * [backup-simplify]: Simplify (cos th) into (cos th)
4.055 * [backup-simplify]: Simplify (sin th) into (sin th)
4.055 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.055 * [taylor]: Taking taylor expansion of a2 in a2
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 1 into 1
4.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.055 * [taylor]: Taking taylor expansion of 2.0 in a2
4.055 * [backup-simplify]: Simplify 2.0 into 2.0
4.056 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.057 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.057 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.057 * [backup-simplify]: Simplify (- 0) into 0
4.057 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.058 * [backup-simplify]: Simplify (* 1 1) into 1
4.058 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.058 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.059 * [backup-simplify]: Simplify (+ 0) into 0
4.059 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.061 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.061 * [backup-simplify]: Simplify (- 0) into 0
4.062 * [backup-simplify]: Simplify (+ 0 0) into 0
4.062 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.062 * [backup-simplify]: Simplify (+ 0 0) into 0
4.062 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
4.064 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.064 * [taylor]: Taking taylor expansion of 0 in a2
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [taylor]: Taking taylor expansion of 0 in th
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.066 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
4.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.067 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
4.068 * [backup-simplify]: Simplify (- 0) into 0
4.068 * [backup-simplify]: Simplify (+ 0 0) into 0
4.069 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.069 * [backup-simplify]: Simplify (* 1 1) into 1
4.069 * [backup-simplify]: Simplify (+ 0 1) into 1
4.070 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
4.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.074 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
4.074 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
4.074 * [taylor]: Taking taylor expansion of (cos th) in a2
4.074 * [taylor]: Taking taylor expansion of th in a2
4.074 * [backup-simplify]: Simplify th into th
4.074 * [backup-simplify]: Simplify (cos th) into (cos th)
4.074 * [backup-simplify]: Simplify (sin th) into (sin th)
4.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.074 * [taylor]: Taking taylor expansion of 2.0 in a2
4.074 * [backup-simplify]: Simplify 2.0 into 2.0
4.075 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.075 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
4.076 * [backup-simplify]: Simplify (* (sin th) 0) into 0
4.076 * [backup-simplify]: Simplify (- 0) into 0
4.076 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
4.077 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
4.077 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.077 * [taylor]: Taking taylor expansion of (cos th) in th
4.077 * [taylor]: Taking taylor expansion of th in th
4.077 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify 1 into 1
4.077 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.077 * [taylor]: Taking taylor expansion of 2.0 in th
4.077 * [backup-simplify]: Simplify 2.0 into 2.0
4.077 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.079 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.080 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.080 * [taylor]: Taking taylor expansion of 0 in th
4.080 * [backup-simplify]: Simplify 0 into 0
4.080 * [backup-simplify]: Simplify 0 into 0
4.080 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
4.080 * [taylor]: Taking taylor expansion of (cos th) in th
4.080 * [taylor]: Taking taylor expansion of th in th
4.080 * [backup-simplify]: Simplify 0 into 0
4.080 * [backup-simplify]: Simplify 1 into 1
4.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.080 * [taylor]: Taking taylor expansion of 2.0 in th
4.080 * [backup-simplify]: Simplify 2.0 into 2.0
4.081 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.083 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.084 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
4.084 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.086 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.088 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.088 * [backup-simplify]: Simplify (- 0) into 0
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.090 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
4.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.091 * [backup-simplify]: Simplify (+ 0 0) into 0
4.092 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
4.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.096 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.096 * [taylor]: Taking taylor expansion of 0 in a2
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [taylor]: Taking taylor expansion of 0 in th
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify 0 into 0
4.097 * [backup-simplify]: Simplify (+ 0) into 0
4.098 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.099 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.100 * [backup-simplify]: Simplify (- 0) into 0
4.100 * [backup-simplify]: Simplify (+ 0 0) into 0
4.102 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.102 * [taylor]: Taking taylor expansion of 0 in th
4.102 * [backup-simplify]: Simplify 0 into 0
4.102 * [backup-simplify]: Simplify 0 into 0
4.102 * [taylor]: Taking taylor expansion of 0 in th
4.102 * [backup-simplify]: Simplify 0 into 0
4.102 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.103 * [backup-simplify]: Simplify (+ 0) into 0
4.104 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.105 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
4.105 * [backup-simplify]: Simplify (- 0) into 0
4.106 * [backup-simplify]: Simplify (+ 0 0) into 0
4.106 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
4.108 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.108 * [taylor]: Taking taylor expansion of 0 in th
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify (+ 0) into 0
4.109 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.110 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
4.113 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (sqrt 2.0)) (* (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (cos (/ 1 th)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.113 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
4.113 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.113 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.113 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.113 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.113 * [taylor]: Taking taylor expansion of th in th
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify 1 into 1
4.114 * [backup-simplify]: Simplify (/ 1 1) into 1
4.114 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.114 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.114 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.114 * [taylor]: Taking taylor expansion of a2 in th
4.114 * [backup-simplify]: Simplify a2 into a2
4.114 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.114 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.114 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.114 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.114 * [taylor]: Taking taylor expansion of a1 in th
4.114 * [backup-simplify]: Simplify a1 into a1
4.114 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.114 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.114 * [taylor]: Taking taylor expansion of 2.0 in th
4.115 * [backup-simplify]: Simplify 2.0 into 2.0
4.115 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.116 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.116 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.117 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.117 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.117 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.117 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.117 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.117 * [taylor]: Taking taylor expansion of th in a2
4.117 * [backup-simplify]: Simplify th into th
4.117 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.117 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.118 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.118 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.118 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.118 * [taylor]: Taking taylor expansion of a2 in a2
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 1 into 1
4.118 * [backup-simplify]: Simplify (* 1 1) into 1
4.118 * [backup-simplify]: Simplify (/ 1 1) into 1
4.118 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.119 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.119 * [taylor]: Taking taylor expansion of a1 in a2
4.119 * [backup-simplify]: Simplify a1 into a1
4.119 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.119 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.119 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.119 * [taylor]: Taking taylor expansion of 2.0 in a2
4.119 * [backup-simplify]: Simplify 2.0 into 2.0
4.119 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.125 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.125 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.126 * [backup-simplify]: Simplify (- 0) into 0
4.126 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.127 * [backup-simplify]: Simplify (+ 1 0) into 1
4.127 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.127 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.127 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.127 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.127 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.127 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.127 * [taylor]: Taking taylor expansion of th in a1
4.127 * [backup-simplify]: Simplify th into th
4.127 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.128 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.128 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.128 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.128 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.128 * [taylor]: Taking taylor expansion of a2 in a1
4.128 * [backup-simplify]: Simplify a2 into a2
4.128 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.128 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.128 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.128 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.128 * [taylor]: Taking taylor expansion of a1 in a1
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 1 into 1
4.128 * [backup-simplify]: Simplify (* 1 1) into 1
4.129 * [backup-simplify]: Simplify (/ 1 1) into 1
4.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.129 * [taylor]: Taking taylor expansion of 2.0 in a1
4.129 * [backup-simplify]: Simplify 2.0 into 2.0
4.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.130 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.130 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.131 * [backup-simplify]: Simplify (- 0) into 0
4.131 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.131 * [backup-simplify]: Simplify (+ 0 1) into 1
4.131 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.132 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.132 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.132 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.132 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
4.132 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
4.132 * [taylor]: Taking taylor expansion of th in a1
4.132 * [backup-simplify]: Simplify th into th
4.132 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.132 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.132 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.132 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.132 * [taylor]: Taking taylor expansion of a2 in a1
4.133 * [backup-simplify]: Simplify a2 into a2
4.133 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.133 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.133 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.133 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.133 * [taylor]: Taking taylor expansion of a1 in a1
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 1 into 1
4.133 * [backup-simplify]: Simplify (* 1 1) into 1
4.134 * [backup-simplify]: Simplify (/ 1 1) into 1
4.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.134 * [taylor]: Taking taylor expansion of 2.0 in a1
4.134 * [backup-simplify]: Simplify 2.0 into 2.0
4.134 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.135 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.135 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.135 * [backup-simplify]: Simplify (- 0) into 0
4.135 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.135 * [backup-simplify]: Simplify (+ 0 1) into 1
4.135 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.136 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.136 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
4.136 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.136 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.136 * [taylor]: Taking taylor expansion of th in a2
4.136 * [backup-simplify]: Simplify th into th
4.136 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.136 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.136 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.136 * [taylor]: Taking taylor expansion of 2.0 in a2
4.136 * [backup-simplify]: Simplify 2.0 into 2.0
4.136 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.137 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.137 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.137 * [backup-simplify]: Simplify (- 0) into 0
4.137 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.137 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.139 * [backup-simplify]: Simplify (+ 0 0) into 0
4.139 * [backup-simplify]: Simplify (+ 0) into 0
4.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.140 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.140 * [backup-simplify]: Simplify (- 0) into 0
4.141 * [backup-simplify]: Simplify (+ 0 0) into 0
4.141 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.142 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.142 * [taylor]: Taking taylor expansion of 0 in a2
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.143 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.144 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.145 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.145 * [backup-simplify]: Simplify (- 0) into 0
4.146 * [backup-simplify]: Simplify (+ 0 0) into 0
4.146 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
4.147 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.148 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
4.148 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.148 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
4.148 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
4.148 * [taylor]: Taking taylor expansion of th in a2
4.148 * [backup-simplify]: Simplify th into th
4.149 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.149 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.149 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.149 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.149 * [taylor]: Taking taylor expansion of 2.0 in a2
4.149 * [backup-simplify]: Simplify 2.0 into 2.0
4.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.149 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.149 * [taylor]: Taking taylor expansion of a2 in a2
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 1 into 1
4.150 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
4.150 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
4.150 * [backup-simplify]: Simplify (- 0) into 0
4.150 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
4.150 * [backup-simplify]: Simplify (* 1 1) into 1
4.151 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.151 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.151 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.151 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.151 * [taylor]: Taking taylor expansion of (/ 1 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
4.151 * [backup-simplify]: Simplify (/ 1 1) into 1
4.151 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.151 * [taylor]: Taking taylor expansion of 2.0 in th
4.151 * [backup-simplify]: Simplify 2.0 into 2.0
4.152 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.152 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.153 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.153 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
4.153 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
4.153 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.153 * [taylor]: Taking taylor expansion of th in th
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (/ 1 1) into 1
4.153 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.153 * [taylor]: Taking taylor expansion of 2.0 in th
4.153 * [backup-simplify]: Simplify 2.0 into 2.0
4.154 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.154 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.155 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
4.155 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.156 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.158 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.159 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.159 * [backup-simplify]: Simplify (- 0) into 0
4.159 * [backup-simplify]: Simplify (+ 0 0) into 0
4.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.163 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.163 * [taylor]: Taking taylor expansion of 0 in a2
4.163 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify (+ 0) into 0
4.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.166 * [backup-simplify]: Simplify (- 0) into 0
4.167 * [backup-simplify]: Simplify (+ 0 0) into 0
4.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.168 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.170 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.170 * [taylor]: Taking taylor expansion of 0 in th
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [taylor]: Taking taylor expansion of 0 in th
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 0 into 0
4.171 * [backup-simplify]: Simplify (+ 0) into 0
4.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
4.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
4.173 * [backup-simplify]: Simplify (- 0) into 0
4.173 * [backup-simplify]: Simplify (+ 0 0) into 0
4.175 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.175 * [taylor]: Taking taylor expansion of 0 in th
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.177 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.178 * [backup-simplify]: Simplify 0 into 0
4.179 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.182 * [backup-simplify]: Simplify (+ 0 0) into 0
4.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.187 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.189 * [backup-simplify]: Simplify (- 0) into 0
4.189 * [backup-simplify]: Simplify (+ 0 0) into 0
4.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.196 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.196 * [taylor]: Taking taylor expansion of 0 in a2
4.197 * [backup-simplify]: Simplify 0 into 0
4.198 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.199 * [backup-simplify]: Simplify (- 0) into 0
4.200 * [backup-simplify]: Simplify (+ 0 0) into 0
4.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.202 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.203 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.203 * [taylor]: Taking taylor expansion of 0 in th
4.203 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.205 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (sqrt 2.0)) (* (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (cos (/ 1 (- th))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.205 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
4.205 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
4.205 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
4.205 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.205 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.205 * [taylor]: Taking taylor expansion of -1 in th
4.205 * [backup-simplify]: Simplify -1 into -1
4.205 * [taylor]: Taking taylor expansion of th in th
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (/ -1 1) into -1
4.205 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
4.205 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
4.205 * [taylor]: Taking taylor expansion of (pow a2 2) in th
4.205 * [taylor]: Taking taylor expansion of a2 in th
4.205 * [backup-simplify]: Simplify a2 into a2
4.205 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.206 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.206 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
4.206 * [taylor]: Taking taylor expansion of (pow a1 2) in th
4.206 * [taylor]: Taking taylor expansion of a1 in th
4.206 * [backup-simplify]: Simplify a1 into a1
4.206 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.206 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.206 * [taylor]: Taking taylor expansion of 2.0 in th
4.206 * [backup-simplify]: Simplify 2.0 into 2.0
4.206 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.207 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
4.207 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
4.207 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
4.207 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
4.207 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
4.207 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.207 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.207 * [taylor]: Taking taylor expansion of -1 in a2
4.207 * [backup-simplify]: Simplify -1 into -1
4.207 * [taylor]: Taking taylor expansion of th in a2
4.207 * [backup-simplify]: Simplify th into th
4.208 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.208 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.208 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
4.208 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
4.208 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.208 * [taylor]: Taking taylor expansion of a2 in a2
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 1 into 1
4.208 * [backup-simplify]: Simplify (* 1 1) into 1
4.208 * [backup-simplify]: Simplify (/ 1 1) into 1
4.208 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
4.208 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
4.208 * [taylor]: Taking taylor expansion of a1 in a2
4.208 * [backup-simplify]: Simplify a1 into a1
4.208 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
4.208 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
4.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.208 * [taylor]: Taking taylor expansion of 2.0 in a2
4.208 * [backup-simplify]: Simplify 2.0 into 2.0
4.209 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.209 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.209 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.210 * [backup-simplify]: Simplify (- 0) into 0
4.210 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.210 * [backup-simplify]: Simplify (+ 1 0) into 1
4.210 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.210 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.210 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.210 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.210 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.210 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.210 * [taylor]: Taking taylor expansion of -1 in a1
4.210 * [backup-simplify]: Simplify -1 into -1
4.210 * [taylor]: Taking taylor expansion of th in a1
4.210 * [backup-simplify]: Simplify th into th
4.210 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.211 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.211 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.211 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.211 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.211 * [taylor]: Taking taylor expansion of a2 in a1
4.211 * [backup-simplify]: Simplify a2 into a2
4.211 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.211 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.211 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.211 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.211 * [taylor]: Taking taylor expansion of a1 in a1
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (* 1 1) into 1
4.211 * [backup-simplify]: Simplify (/ 1 1) into 1
4.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.211 * [taylor]: Taking taylor expansion of 2.0 in a1
4.211 * [backup-simplify]: Simplify 2.0 into 2.0
4.212 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.212 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.212 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.212 * [backup-simplify]: Simplify (- 0) into 0
4.213 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.213 * [backup-simplify]: Simplify (+ 0 1) into 1
4.213 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.213 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.213 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
4.213 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
4.213 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
4.213 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
4.213 * [taylor]: Taking taylor expansion of -1 in a1
4.213 * [backup-simplify]: Simplify -1 into -1
4.213 * [taylor]: Taking taylor expansion of th in a1
4.213 * [backup-simplify]: Simplify th into th
4.213 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.213 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.213 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
4.214 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
4.214 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
4.214 * [taylor]: Taking taylor expansion of a2 in a1
4.214 * [backup-simplify]: Simplify a2 into a2
4.214 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
4.214 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
4.214 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
4.214 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
4.214 * [taylor]: Taking taylor expansion of a1 in a1
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 1 into 1
4.214 * [backup-simplify]: Simplify (* 1 1) into 1
4.214 * [backup-simplify]: Simplify (/ 1 1) into 1
4.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
4.214 * [taylor]: Taking taylor expansion of 2.0 in a1
4.214 * [backup-simplify]: Simplify 2.0 into 2.0
4.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.215 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.215 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.215 * [backup-simplify]: Simplify (- 0) into 0
4.215 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.216 * [backup-simplify]: Simplify (+ 0 1) into 1
4.216 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.216 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.216 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
4.216 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.216 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.216 * [taylor]: Taking taylor expansion of -1 in a2
4.216 * [backup-simplify]: Simplify -1 into -1
4.216 * [taylor]: Taking taylor expansion of th in a2
4.216 * [backup-simplify]: Simplify th into th
4.216 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.216 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.216 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.216 * [taylor]: Taking taylor expansion of 2.0 in a2
4.216 * [backup-simplify]: Simplify 2.0 into 2.0
4.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.217 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.217 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.218 * [backup-simplify]: Simplify (- 0) into 0
4.218 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.218 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.219 * [backup-simplify]: Simplify (+ 0 0) into 0
4.219 * [backup-simplify]: Simplify (+ 0) into 0
4.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.220 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.221 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.221 * [backup-simplify]: Simplify (- 0) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.222 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.222 * [taylor]: Taking taylor expansion of 0 in a2
4.222 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.224 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
4.224 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.225 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.225 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.226 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.226 * [backup-simplify]: Simplify (- 0) into 0
4.226 * [backup-simplify]: Simplify (+ 0 0) into 0
4.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
4.228 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.231 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
4.231 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
4.231 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
4.231 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
4.231 * [taylor]: Taking taylor expansion of -1 in a2
4.231 * [backup-simplify]: Simplify -1 into -1
4.231 * [taylor]: Taking taylor expansion of th in a2
4.231 * [backup-simplify]: Simplify th into th
4.231 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.231 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.231 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.231 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
4.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
4.231 * [taylor]: Taking taylor expansion of 2.0 in a2
4.232 * [backup-simplify]: Simplify 2.0 into 2.0
4.232 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.233 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
4.233 * [taylor]: Taking taylor expansion of a2 in a2
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 1 into 1
4.233 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
4.233 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
4.234 * [backup-simplify]: Simplify (- 0) into 0
4.234 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
4.234 * [backup-simplify]: Simplify (* 1 1) into 1
4.235 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
4.236 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.236 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.236 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.236 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.236 * [taylor]: Taking taylor expansion of -1 in th
4.236 * [backup-simplify]: Simplify -1 into -1
4.236 * [taylor]: Taking taylor expansion of th in th
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [backup-simplify]: Simplify (/ -1 1) into -1
4.236 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.237 * [taylor]: Taking taylor expansion of 2.0 in th
4.237 * [backup-simplify]: Simplify 2.0 into 2.0
4.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.238 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.239 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.239 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
4.239 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
4.239 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.239 * [taylor]: Taking taylor expansion of -1 in th
4.239 * [backup-simplify]: Simplify -1 into -1
4.239 * [taylor]: Taking taylor expansion of th in th
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 1 into 1
4.239 * [backup-simplify]: Simplify (/ -1 1) into -1
4.240 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
4.240 * [taylor]: Taking taylor expansion of 2.0 in th
4.240 * [backup-simplify]: Simplify 2.0 into 2.0
4.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
4.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
4.241 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.242 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
4.242 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
4.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (+ 0 0) into 0
4.252 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.253 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.253 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.256 * [backup-simplify]: Simplify (- 0) into 0
4.256 * [backup-simplify]: Simplify (+ 0 0) into 0
4.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
4.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.262 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
4.262 * [taylor]: Taking taylor expansion of 0 in a2
4.262 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify (+ 0) into 0
4.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.264 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.265 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.265 * [backup-simplify]: Simplify (- 0) into 0
4.266 * [backup-simplify]: Simplify (+ 0 0) into 0
4.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.267 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
4.269 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.269 * [taylor]: Taking taylor expansion of 0 in th
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [taylor]: Taking taylor expansion of 0 in th
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify (+ 0) into 0
4.270 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
4.270 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
4.272 * [backup-simplify]: Simplify (- 0) into 0
4.272 * [backup-simplify]: Simplify (+ 0 0) into 0
4.274 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.274 * [taylor]: Taking taylor expansion of 0 in th
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.276 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
4.277 * [backup-simplify]: Simplify 0 into 0
4.278 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
4.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.281 * [backup-simplify]: Simplify (+ 0 0) into 0
4.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
4.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.285 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
4.288 * [backup-simplify]: Simplify (- 0) into 0
4.288 * [backup-simplify]: Simplify (+ 0 0) into 0
4.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
4.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
4.295 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.295 * [taylor]: Taking taylor expansion of 0 in a2
4.295 * [backup-simplify]: Simplify 0 into 0
4.296 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.297 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.297 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.299 * [backup-simplify]: Simplify (- 0) into 0
4.300 * [backup-simplify]: Simplify (+ 0 0) into 0
4.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.302 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
4.303 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
4.305 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
4.305 * [taylor]: Taking taylor expansion of 0 in th
4.305 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.307 * * * [progress]: simplifying candidates
4.312 * [simplify]: Simplifying:
  (log (sqrt (+ (* a1 a1) (pow a2 2))))
  (exp (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (cbrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2))))
  (sqrt (- (* a1 a1) (pow a2 2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (log (sqrt (+ (* a1 a1) (pow a2 2))))
  (exp (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (cbrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2))))
  (sqrt (- (* a1 a1) (pow a2 2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (sqrt 2.0)))
  (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)))
  (exp (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)))
  (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))))
  (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)))
  (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)))
  (/ (+ (* a1 a1) (pow a2 2)) 2.0)
  (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)))
  (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)))
  (- (sqrt (+ (* a1 a1) (pow a2 2))))
  (- (sqrt 2.0))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (sqrt 1))
  (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (sqrt (sqrt 2.0)))
  (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) 1)
  (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (sqrt 1))
  (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) 1)
  (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) 1)
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ (sqrt 1) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0)))
  (/ (sqrt 1) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0)))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
  (/ (sqrt 1) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt 1) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 1))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) 1)
  (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0))
  (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0)))
  (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ 1 (sqrt 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ 1 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt 2.0) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (sqrt 2.0) (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (sqrt 2.0) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2))))))
  (* (sqrt 2.0) (sqrt (- (* a1 a1) (pow a2 2))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (sqrt 2.0))) (+ (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (cos th))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (sqrt 2.0))) (log (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (+ (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (cos th))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (log (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (log (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (exp (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (cos th) (cos th)) (cos th))))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (cos th) (cos th)) (cos th))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (* (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))) (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))))
  (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (sqrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (sqrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3))) (cos th)))
  (* (sqrt 2.0) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2))))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2)))) (cos th)))
  (* (sqrt 2.0) (sqrt (- (* a1 a1) (pow a2 2))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ 1 (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3))) (cos th)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2)))) (cos th)))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  a2
  a1
  (* -1 a1)
  a2
  a1
  (* -1 a1)
  (/ a2 (sqrt 2.0))
  (/ a1 (sqrt 2.0))
  (* -1 (/ a1 (sqrt 2.0)))
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
4.318 * * [simplify]: iteration 0: 178 enodes
4.371 * * [simplify]: iteration 1: 455 enodes
4.585 * * [simplify]: iteration 2: 2074 enodes
5.419 * * [simplify]: iteration complete: 5000 enodes
5.419 * * [simplify]: Extracting #0: cost 101 inf + 0
5.422 * * [simplify]: Extracting #1: cost 672 inf + 4
5.429 * * [simplify]: Extracting #2: cost 1237 inf + 45
5.439 * * [simplify]: Extracting #3: cost 1692 inf + 827
5.452 * * [simplify]: Extracting #4: cost 1125 inf + 8442
5.464 * * [simplify]: Extracting #5: cost 198 inf + 25178
5.482 * * [simplify]: Extracting #6: cost 33 inf + 27497
5.492 * * [simplify]: Extracting #7: cost 7 inf + 27607
5.499 * * [simplify]: Extracting #8: cost 0 inf + 27655
5.506 * [simplify]: Simplified to:
  (log (sqrt (+ (* a2 a2) (* a1 a1))))
  (exp (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (pow a2 6) (pow a1 6)))
  (sqrt (+ (pow a1 4) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))
  (sqrt (- (pow a1 4) (pow a2 4)))
  (sqrt (* (+ a1 a2) (- a1 a2)))
  1/2
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (sqrt (+ (* a2 a2) (* a1 a1))))
  (exp (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (pow a2 6) (pow a1 6)))
  (sqrt (+ (pow a1 4) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))
  (sqrt (- (pow a1 4) (pow a2 4)))
  (sqrt (* (+ a1 a2) (- a1 a2)))
  1/2
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (exp (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (* (sqrt 2.0) 2.0))
  (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))))
  (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) 3)
  (/ (+ (* a2 a2) (* a1 a1)) 2.0)
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (- (sqrt 2.0))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt 2.0)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0))
  (/ (/ 1 (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt 2.0)))
  (/ 1 (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))
  (/ 1 (sqrt 2.0))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt 2.0) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt 2.0) (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt 2.0) (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (sqrt (+ (pow a1 4) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))) (sqrt 2.0))
  (* (sqrt 2.0) (sqrt (* (+ a1 a2) (- a1 a2))))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))
  (log (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (log (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (log (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (log (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (log (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (pow (exp (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)))
  (* (pow (cos th) 3) (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) (* 2 3)) (* 2.0 (sqrt 2.0))))
  (* (pow (cos th) 3) (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) (* 2 3)) (* 2.0 (sqrt 2.0))))
  (pow (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)) 3)
  (pow (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)) 3)
  (* (cbrt (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))) (cbrt (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))))
  (cbrt (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (pow (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)) 3)
  (sqrt (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (sqrt (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th)))
  (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (sqrt (+ (pow a2 6) (pow a1 6))))
  (* (sqrt (+ (pow a1 4) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))) (sqrt 2.0))
  (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)) (sqrt (- (pow a1 4) (pow a2 4))))
  (* (sqrt 2.0) (sqrt (* (+ a1 a2) (- a1 a2))))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0))
  (* (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cos th))
  (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt 2.0))) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (/ (* (* (cos th) (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt 2.0)) (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (cbrt (sqrt 2.0))) (cos th))
  (/ (* (cos th) (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt 2.0)))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))
  (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2.0)) (cos th))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))
  (* (cos th) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (sqrt (+ (pow a2 6) (pow a1 6)))))
  (* (sqrt (- (pow a1 4) (pow a2 4))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th)))
  (* (cos th) (+ (* a2 a2) (* a1 a1)))
  a2
  a1
  (- a1)
  a2
  a1
  (- a1)
  (/ a2 (sqrt 2.0))
  (/ a1 (sqrt 2.0))
  (/ (- a1) (sqrt 2.0))
  (+ (/ (* a1 a1) (sqrt 2.0)) (/ a2 (/ (sqrt 2.0) a2)))
  (+ (/ (* a1 a1) (/ (sqrt 2.0) (cos th))) (/ (* a2 a2) (/ (sqrt 2.0) (cos th))))
  (+ (/ (* a1 a1) (/ (sqrt 2.0) (cos th))) (/ (* a2 a2) (/ (sqrt 2.0) (cos th))))
5.507 * * * [progress]: adding candidates to table
6.469 * * [progress]: iteration 3 / 4
6.469 * * * [progress]: picking best candidate
6.498 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))>
6.498 * * * [progress]: localizing error
6.524 * * * [progress]: generating rewritten candidates
6.524 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
6.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
6.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
6.915 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
7.027 * * * [progress]: generating series expansions
7.027 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
7.027 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (pow a2 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
7.027 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
7.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
7.027 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.027 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.027 * [taylor]: Taking taylor expansion of a2 in a2
7.028 * [backup-simplify]: Simplify 0 into 0
7.028 * [backup-simplify]: Simplify 1 into 1
7.028 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.028 * [taylor]: Taking taylor expansion of a1 in a2
7.028 * [backup-simplify]: Simplify a1 into a1
7.028 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.028 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.028 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
7.028 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.028 * [backup-simplify]: Simplify (+ 0 0) into 0
7.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
7.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
7.029 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.029 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.029 * [taylor]: Taking taylor expansion of a2 in a1
7.029 * [backup-simplify]: Simplify a2 into a2
7.029 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.029 * [taylor]: Taking taylor expansion of a1 in a1
7.029 * [backup-simplify]: Simplify 0 into 0
7.029 * [backup-simplify]: Simplify 1 into 1
7.029 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.029 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.029 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
7.029 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.029 * [backup-simplify]: Simplify (+ 0 0) into 0
7.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
7.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
7.029 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.029 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.029 * [taylor]: Taking taylor expansion of a2 in a1
7.029 * [backup-simplify]: Simplify a2 into a2
7.029 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.030 * [taylor]: Taking taylor expansion of a1 in a1
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 1 into 1
7.030 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.030 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.030 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
7.030 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.030 * [backup-simplify]: Simplify (+ 0 0) into 0
7.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
7.030 * [taylor]: Taking taylor expansion of a2 in a2
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 1 into 1
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [taylor]: Taking taylor expansion of 0 in a2
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 0 into 0
7.030 * [backup-simplify]: Simplify 1 into 1
7.031 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.031 * [backup-simplify]: Simplify (* 1 1) into 1
7.031 * [backup-simplify]: Simplify (+ 0 1) into 1
7.032 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
7.032 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
7.032 * [taylor]: Taking taylor expansion of 1/2 in a2
7.032 * [backup-simplify]: Simplify 1/2 into 1/2
7.032 * [taylor]: Taking taylor expansion of a2 in a2
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 1 into 1
7.032 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
7.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.034 * [backup-simplify]: Simplify (+ 0 0) into 0
7.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
7.034 * [taylor]: Taking taylor expansion of 0 in a2
7.034 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
7.035 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.035 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
7.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.035 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.035 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.035 * [taylor]: Taking taylor expansion of a2 in a2
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 1 into 1
7.036 * [backup-simplify]: Simplify (* 1 1) into 1
7.036 * [backup-simplify]: Simplify (/ 1 1) into 1
7.036 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.036 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.036 * [taylor]: Taking taylor expansion of a1 in a2
7.036 * [backup-simplify]: Simplify a1 into a1
7.036 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.036 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.037 * [backup-simplify]: Simplify (+ 1 0) into 1
7.037 * [backup-simplify]: Simplify (sqrt 1) into 1
7.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.038 * [backup-simplify]: Simplify (+ 0 0) into 0
7.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.039 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.039 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.039 * [taylor]: Taking taylor expansion of a2 in a1
7.039 * [backup-simplify]: Simplify a2 into a2
7.039 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.039 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.039 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.039 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.039 * [taylor]: Taking taylor expansion of a1 in a1
7.039 * [backup-simplify]: Simplify 0 into 0
7.039 * [backup-simplify]: Simplify 1 into 1
7.039 * [backup-simplify]: Simplify (* 1 1) into 1
7.039 * [backup-simplify]: Simplify (/ 1 1) into 1
7.040 * [backup-simplify]: Simplify (+ 0 1) into 1
7.040 * [backup-simplify]: Simplify (sqrt 1) into 1
7.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.041 * [backup-simplify]: Simplify (+ 0 0) into 0
7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.042 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.042 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.042 * [taylor]: Taking taylor expansion of a2 in a1
7.042 * [backup-simplify]: Simplify a2 into a2
7.042 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.042 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.042 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.042 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.042 * [taylor]: Taking taylor expansion of a1 in a1
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify 1 into 1
7.042 * [backup-simplify]: Simplify (* 1 1) into 1
7.042 * [backup-simplify]: Simplify (/ 1 1) into 1
7.043 * [backup-simplify]: Simplify (+ 0 1) into 1
7.043 * [backup-simplify]: Simplify (sqrt 1) into 1
7.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.044 * [backup-simplify]: Simplify (+ 0 0) into 0
7.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.045 * [taylor]: Taking taylor expansion of 1 in a2
7.045 * [backup-simplify]: Simplify 1 into 1
7.045 * [taylor]: Taking taylor expansion of 0 in a2
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 1 into 1
7.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.046 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.047 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
7.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
7.047 * [taylor]: Taking taylor expansion of 1/2 in a2
7.047 * [backup-simplify]: Simplify 1/2 into 1/2
7.047 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.047 * [taylor]: Taking taylor expansion of a2 in a2
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify (* 1 1) into 1
7.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.050 * [backup-simplify]: Simplify (+ 0 0) into 0
7.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
7.050 * [taylor]: Taking taylor expansion of 0 in a2
7.050 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.051 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
7.052 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
7.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.052 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.052 * [taylor]: Taking taylor expansion of a2 in a2
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 1 into 1
7.052 * [backup-simplify]: Simplify (* 1 1) into 1
7.052 * [backup-simplify]: Simplify (/ 1 1) into 1
7.053 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.053 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.053 * [taylor]: Taking taylor expansion of a1 in a2
7.053 * [backup-simplify]: Simplify a1 into a1
7.053 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.053 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.053 * [backup-simplify]: Simplify (+ 1 0) into 1
7.053 * [backup-simplify]: Simplify (sqrt 1) into 1
7.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.054 * [backup-simplify]: Simplify (+ 0 0) into 0
7.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.055 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.055 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.055 * [taylor]: Taking taylor expansion of a2 in a1
7.055 * [backup-simplify]: Simplify a2 into a2
7.055 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.055 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.055 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.055 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.055 * [taylor]: Taking taylor expansion of a1 in a1
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 1 into 1
7.055 * [backup-simplify]: Simplify (* 1 1) into 1
7.056 * [backup-simplify]: Simplify (/ 1 1) into 1
7.056 * [backup-simplify]: Simplify (+ 0 1) into 1
7.056 * [backup-simplify]: Simplify (sqrt 1) into 1
7.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.057 * [backup-simplify]: Simplify (+ 0 0) into 0
7.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.058 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.058 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.058 * [taylor]: Taking taylor expansion of a2 in a1
7.058 * [backup-simplify]: Simplify a2 into a2
7.058 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.058 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.058 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.058 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.058 * [taylor]: Taking taylor expansion of a1 in a1
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 1 into 1
7.058 * [backup-simplify]: Simplify (* 1 1) into 1
7.059 * [backup-simplify]: Simplify (/ 1 1) into 1
7.059 * [backup-simplify]: Simplify (+ 0 1) into 1
7.060 * [backup-simplify]: Simplify (sqrt 1) into 1
7.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ 0 0) into 0
7.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.062 * [taylor]: Taking taylor expansion of 1 in a2
7.062 * [backup-simplify]: Simplify 1 into 1
7.062 * [taylor]: Taking taylor expansion of 0 in a2
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.065 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.066 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
7.066 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
7.066 * [taylor]: Taking taylor expansion of 1/2 in a2
7.066 * [backup-simplify]: Simplify 1/2 into 1/2
7.066 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.066 * [taylor]: Taking taylor expansion of a2 in a2
7.066 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify 1 into 1
7.067 * [backup-simplify]: Simplify (* 1 1) into 1
7.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (+ 0 0) into 0
7.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
7.072 * [taylor]: Taking taylor expansion of 0 in a2
7.072 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
7.074 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
7.075 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (pow a2 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
7.075 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
7.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
7.075 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.075 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.075 * [taylor]: Taking taylor expansion of a2 in a2
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 1 into 1
7.075 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.075 * [taylor]: Taking taylor expansion of a1 in a2
7.075 * [backup-simplify]: Simplify a1 into a1
7.075 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.075 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.075 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
7.075 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.075 * [backup-simplify]: Simplify (+ 0 0) into 0
7.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
7.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
7.075 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.075 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.075 * [taylor]: Taking taylor expansion of a2 in a1
7.075 * [backup-simplify]: Simplify a2 into a2
7.076 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.076 * [taylor]: Taking taylor expansion of a1 in a1
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.076 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.076 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
7.076 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.076 * [backup-simplify]: Simplify (+ 0 0) into 0
7.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
7.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
7.076 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.076 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.076 * [taylor]: Taking taylor expansion of a2 in a1
7.076 * [backup-simplify]: Simplify a2 into a2
7.076 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.076 * [taylor]: Taking taylor expansion of a1 in a1
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 1 into 1
7.076 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.076 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.077 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
7.077 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.077 * [backup-simplify]: Simplify (+ 0 0) into 0
7.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
7.077 * [taylor]: Taking taylor expansion of a2 in a2
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 1 into 1
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [taylor]: Taking taylor expansion of 0 in a2
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 1 into 1
7.077 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.078 * [backup-simplify]: Simplify (* 1 1) into 1
7.078 * [backup-simplify]: Simplify (+ 0 1) into 1
7.078 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
7.078 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
7.078 * [taylor]: Taking taylor expansion of 1/2 in a2
7.078 * [backup-simplify]: Simplify 1/2 into 1/2
7.078 * [taylor]: Taking taylor expansion of a2 in a2
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 1 into 1
7.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.079 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
7.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.080 * [backup-simplify]: Simplify (+ 0 0) into 0
7.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
7.081 * [taylor]: Taking taylor expansion of 0 in a2
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
7.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
7.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.082 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.082 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.082 * [taylor]: Taking taylor expansion of a2 in a2
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 1 into 1
7.082 * [backup-simplify]: Simplify (* 1 1) into 1
7.082 * [backup-simplify]: Simplify (/ 1 1) into 1
7.082 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.082 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.082 * [taylor]: Taking taylor expansion of a1 in a2
7.082 * [backup-simplify]: Simplify a1 into a1
7.082 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.082 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.083 * [backup-simplify]: Simplify (+ 1 0) into 1
7.083 * [backup-simplify]: Simplify (sqrt 1) into 1
7.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.084 * [backup-simplify]: Simplify (+ 0 0) into 0
7.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.085 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.085 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.085 * [taylor]: Taking taylor expansion of a2 in a1
7.085 * [backup-simplify]: Simplify a2 into a2
7.085 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.085 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.085 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.085 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.085 * [taylor]: Taking taylor expansion of a1 in a1
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (* 1 1) into 1
7.085 * [backup-simplify]: Simplify (/ 1 1) into 1
7.086 * [backup-simplify]: Simplify (+ 0 1) into 1
7.086 * [backup-simplify]: Simplify (sqrt 1) into 1
7.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.087 * [backup-simplify]: Simplify (+ 0 0) into 0
7.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.087 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.087 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.087 * [taylor]: Taking taylor expansion of a2 in a1
7.087 * [backup-simplify]: Simplify a2 into a2
7.088 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.088 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.088 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.088 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.088 * [taylor]: Taking taylor expansion of a1 in a1
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [backup-simplify]: Simplify (* 1 1) into 1
7.088 * [backup-simplify]: Simplify (/ 1 1) into 1
7.088 * [backup-simplify]: Simplify (+ 0 1) into 1
7.089 * [backup-simplify]: Simplify (sqrt 1) into 1
7.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.090 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.090 * [taylor]: Taking taylor expansion of 1 in a2
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [taylor]: Taking taylor expansion of 0 in a2
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.092 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
7.092 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
7.092 * [taylor]: Taking taylor expansion of 1/2 in a2
7.092 * [backup-simplify]: Simplify 1/2 into 1/2
7.092 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.092 * [taylor]: Taking taylor expansion of a2 in a2
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* 1 1) into 1
7.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.096 * [backup-simplify]: Simplify (+ 0 0) into 0
7.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
7.096 * [taylor]: Taking taylor expansion of 0 in a2
7.096 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
7.098 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.098 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
7.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.098 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.098 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.098 * [taylor]: Taking taylor expansion of a2 in a2
7.098 * [backup-simplify]: Simplify 0 into 0
7.098 * [backup-simplify]: Simplify 1 into 1
7.098 * [backup-simplify]: Simplify (* 1 1) into 1
7.098 * [backup-simplify]: Simplify (/ 1 1) into 1
7.098 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.098 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.098 * [taylor]: Taking taylor expansion of a1 in a2
7.098 * [backup-simplify]: Simplify a1 into a1
7.098 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.098 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.099 * [backup-simplify]: Simplify (+ 1 0) into 1
7.099 * [backup-simplify]: Simplify (sqrt 1) into 1
7.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.100 * [backup-simplify]: Simplify (+ 0 0) into 0
7.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.100 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.100 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.100 * [taylor]: Taking taylor expansion of a2 in a1
7.101 * [backup-simplify]: Simplify a2 into a2
7.101 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.101 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.101 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.101 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.101 * [taylor]: Taking taylor expansion of a1 in a1
7.101 * [backup-simplify]: Simplify 0 into 0
7.101 * [backup-simplify]: Simplify 1 into 1
7.101 * [backup-simplify]: Simplify (* 1 1) into 1
7.101 * [backup-simplify]: Simplify (/ 1 1) into 1
7.101 * [backup-simplify]: Simplify (+ 0 1) into 1
7.102 * [backup-simplify]: Simplify (sqrt 1) into 1
7.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.104 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.104 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.104 * [taylor]: Taking taylor expansion of a2 in a1
7.104 * [backup-simplify]: Simplify a2 into a2
7.104 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.105 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.105 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.105 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.105 * [taylor]: Taking taylor expansion of a1 in a1
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (* 1 1) into 1
7.105 * [backup-simplify]: Simplify (/ 1 1) into 1
7.106 * [backup-simplify]: Simplify (+ 0 1) into 1
7.106 * [backup-simplify]: Simplify (sqrt 1) into 1
7.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.108 * [backup-simplify]: Simplify (+ 0 0) into 0
7.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.109 * [taylor]: Taking taylor expansion of 1 in a2
7.109 * [backup-simplify]: Simplify 1 into 1
7.109 * [taylor]: Taking taylor expansion of 0 in a2
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 1 into 1
7.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.111 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
7.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
7.113 * [taylor]: Taking taylor expansion of 1/2 in a2
7.113 * [backup-simplify]: Simplify 1/2 into 1/2
7.113 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.113 * [taylor]: Taking taylor expansion of a2 in a2
7.113 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify 1 into 1
7.113 * [backup-simplify]: Simplify (* 1 1) into 1
7.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.118 * [backup-simplify]: Simplify (+ 0 0) into 0
7.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
7.118 * [taylor]: Taking taylor expansion of 0 in a2
7.118 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
7.120 * * * * [progress]: [ 3 / 4 ] generating series at (2)
7.121 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
7.121 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
7.121 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
7.121 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
7.121 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
7.121 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.121 * [taylor]: Taking taylor expansion of a2 in th
7.121 * [backup-simplify]: Simplify a2 into a2
7.121 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.121 * [taylor]: Taking taylor expansion of a1 in th
7.121 * [backup-simplify]: Simplify a1 into a1
7.121 * [taylor]: Taking taylor expansion of (cos th) in th
7.121 * [taylor]: Taking taylor expansion of th in th
7.121 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify 1 into 1
7.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.122 * [taylor]: Taking taylor expansion of 2.0 in th
7.122 * [backup-simplify]: Simplify 2.0 into 2.0
7.122 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.122 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.122 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.122 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
7.123 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
7.123 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
7.123 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
7.123 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
7.123 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.123 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.123 * [taylor]: Taking taylor expansion of a2 in a2
7.123 * [backup-simplify]: Simplify 0 into 0
7.123 * [backup-simplify]: Simplify 1 into 1
7.123 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.123 * [taylor]: Taking taylor expansion of a1 in a2
7.123 * [backup-simplify]: Simplify a1 into a1
7.123 * [taylor]: Taking taylor expansion of (cos th) in a2
7.123 * [taylor]: Taking taylor expansion of th in a2
7.123 * [backup-simplify]: Simplify th into th
7.123 * [backup-simplify]: Simplify (cos th) into (cos th)
7.123 * [backup-simplify]: Simplify (sin th) into (sin th)
7.123 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.123 * [taylor]: Taking taylor expansion of 2.0 in a2
7.123 * [backup-simplify]: Simplify 2.0 into 2.0
7.124 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.124 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.124 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.124 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.124 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.125 * [backup-simplify]: Simplify (- 0) into 0
7.125 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.125 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
7.125 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
7.125 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
7.125 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
7.125 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.125 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.125 * [taylor]: Taking taylor expansion of a2 in a1
7.125 * [backup-simplify]: Simplify a2 into a2
7.125 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.125 * [taylor]: Taking taylor expansion of a1 in a1
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.125 * [taylor]: Taking taylor expansion of (cos th) in a1
7.125 * [taylor]: Taking taylor expansion of th in a1
7.125 * [backup-simplify]: Simplify th into th
7.125 * [backup-simplify]: Simplify (cos th) into (cos th)
7.125 * [backup-simplify]: Simplify (sin th) into (sin th)
7.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.125 * [taylor]: Taking taylor expansion of 2.0 in a1
7.125 * [backup-simplify]: Simplify 2.0 into 2.0
7.126 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.126 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.126 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.126 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.126 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.127 * [backup-simplify]: Simplify (- 0) into 0
7.127 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.127 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
7.127 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
7.127 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
7.127 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
7.127 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.127 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.127 * [taylor]: Taking taylor expansion of a2 in a1
7.127 * [backup-simplify]: Simplify a2 into a2
7.127 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.127 * [taylor]: Taking taylor expansion of a1 in a1
7.127 * [backup-simplify]: Simplify 0 into 0
7.127 * [backup-simplify]: Simplify 1 into 1
7.127 * [taylor]: Taking taylor expansion of (cos th) in a1
7.127 * [taylor]: Taking taylor expansion of th in a1
7.127 * [backup-simplify]: Simplify th into th
7.127 * [backup-simplify]: Simplify (cos th) into (cos th)
7.127 * [backup-simplify]: Simplify (sin th) into (sin th)
7.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.128 * [taylor]: Taking taylor expansion of 2.0 in a1
7.128 * [backup-simplify]: Simplify 2.0 into 2.0
7.128 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.128 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.128 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.128 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.129 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.129 * [backup-simplify]: Simplify (- 0) into 0
7.129 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.129 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
7.129 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
7.129 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
7.129 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
7.129 * [taylor]: Taking taylor expansion of (cos th) in a2
7.129 * [taylor]: Taking taylor expansion of th in a2
7.129 * [backup-simplify]: Simplify th into th
7.129 * [backup-simplify]: Simplify (cos th) into (cos th)
7.129 * [backup-simplify]: Simplify (sin th) into (sin th)
7.130 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.130 * [taylor]: Taking taylor expansion of a2 in a2
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.130 * [taylor]: Taking taylor expansion of 2.0 in a2
7.130 * [backup-simplify]: Simplify 2.0 into 2.0
7.130 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.130 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.130 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.131 * [backup-simplify]: Simplify (- 0) into 0
7.131 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.134 * [backup-simplify]: Simplify (* 1 1) into 1
7.135 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.135 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.136 * [backup-simplify]: Simplify (+ 0) into 0
7.136 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.137 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.137 * [backup-simplify]: Simplify (- 0) into 0
7.137 * [backup-simplify]: Simplify (+ 0 0) into 0
7.137 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.138 * [backup-simplify]: Simplify (+ 0 0) into 0
7.138 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
7.139 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.139 * [taylor]: Taking taylor expansion of 0 in a2
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [taylor]: Taking taylor expansion of 0 in th
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.140 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
7.140 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.141 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
7.141 * [backup-simplify]: Simplify (- 0) into 0
7.141 * [backup-simplify]: Simplify (+ 0 0) into 0
7.141 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.142 * [backup-simplify]: Simplify (* 1 1) into 1
7.142 * [backup-simplify]: Simplify (+ 0 1) into 1
7.142 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
7.143 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.144 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
7.144 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
7.144 * [taylor]: Taking taylor expansion of (cos th) in a2
7.144 * [taylor]: Taking taylor expansion of th in a2
7.144 * [backup-simplify]: Simplify th into th
7.144 * [backup-simplify]: Simplify (cos th) into (cos th)
7.144 * [backup-simplify]: Simplify (sin th) into (sin th)
7.144 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.144 * [taylor]: Taking taylor expansion of 2.0 in a2
7.145 * [backup-simplify]: Simplify 2.0 into 2.0
7.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.145 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.146 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.146 * [backup-simplify]: Simplify (- 0) into 0
7.146 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.146 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
7.146 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.146 * [taylor]: Taking taylor expansion of (cos th) in th
7.146 * [taylor]: Taking taylor expansion of th in th
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 1 into 1
7.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.146 * [taylor]: Taking taylor expansion of 2.0 in th
7.146 * [backup-simplify]: Simplify 2.0 into 2.0
7.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.148 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.149 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.149 * [taylor]: Taking taylor expansion of 0 in th
7.149 * [backup-simplify]: Simplify 0 into 0
7.149 * [backup-simplify]: Simplify 0 into 0
7.149 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
7.149 * [taylor]: Taking taylor expansion of (cos th) in th
7.149 * [taylor]: Taking taylor expansion of th in th
7.149 * [backup-simplify]: Simplify 0 into 0
7.149 * [backup-simplify]: Simplify 1 into 1
7.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.149 * [taylor]: Taking taylor expansion of 2.0 in th
7.149 * [backup-simplify]: Simplify 2.0 into 2.0
7.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.150 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.151 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.151 * [backup-simplify]: Simplify 0 into 0
7.151 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.152 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.153 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.154 * [backup-simplify]: Simplify (- 0) into 0
7.154 * [backup-simplify]: Simplify (+ 0 0) into 0
7.155 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
7.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.156 * [backup-simplify]: Simplify (+ 0 0) into 0
7.157 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
7.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.161 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.161 * [taylor]: Taking taylor expansion of 0 in a2
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [taylor]: Taking taylor expansion of 0 in th
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify (+ 0) into 0
7.162 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.164 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.164 * [backup-simplify]: Simplify (- 0) into 0
7.164 * [backup-simplify]: Simplify (+ 0 0) into 0
7.166 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.166 * [taylor]: Taking taylor expansion of 0 in th
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [taylor]: Taking taylor expansion of 0 in th
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [backup-simplify]: Simplify 0 into 0
7.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.167 * [backup-simplify]: Simplify (+ 0) into 0
7.168 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.169 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.169 * [backup-simplify]: Simplify (- 0) into 0
7.170 * [backup-simplify]: Simplify (+ 0 0) into 0
7.170 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.172 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.172 * [taylor]: Taking taylor expansion of 0 in th
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify (+ 0) into 0
7.174 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.174 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
7.177 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 th))))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.177 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
7.177 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
7.177 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.177 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.177 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.177 * [taylor]: Taking taylor expansion of th in th
7.177 * [backup-simplify]: Simplify 0 into 0
7.177 * [backup-simplify]: Simplify 1 into 1
7.177 * [backup-simplify]: Simplify (/ 1 1) into 1
7.177 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.177 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.177 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.177 * [taylor]: Taking taylor expansion of a2 in th
7.177 * [backup-simplify]: Simplify a2 into a2
7.177 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.177 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.177 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.177 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.177 * [taylor]: Taking taylor expansion of a1 in th
7.177 * [backup-simplify]: Simplify a1 into a1
7.178 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.178 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.178 * [taylor]: Taking taylor expansion of 2.0 in th
7.178 * [backup-simplify]: Simplify 2.0 into 2.0
7.178 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.179 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.179 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.179 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.179 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.179 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.179 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.179 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.179 * [taylor]: Taking taylor expansion of th in a2
7.179 * [backup-simplify]: Simplify th into th
7.179 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.179 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.179 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.180 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.180 * [taylor]: Taking taylor expansion of a2 in a2
7.180 * [backup-simplify]: Simplify 0 into 0
7.180 * [backup-simplify]: Simplify 1 into 1
7.180 * [backup-simplify]: Simplify (* 1 1) into 1
7.180 * [backup-simplify]: Simplify (/ 1 1) into 1
7.180 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.180 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.180 * [taylor]: Taking taylor expansion of a1 in a2
7.180 * [backup-simplify]: Simplify a1 into a1
7.180 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.180 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.180 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.180 * [taylor]: Taking taylor expansion of 2.0 in a2
7.180 * [backup-simplify]: Simplify 2.0 into 2.0
7.181 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.181 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.181 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.181 * [backup-simplify]: Simplify (- 0) into 0
7.181 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.182 * [backup-simplify]: Simplify (+ 1 0) into 1
7.182 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.182 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.182 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.182 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.182 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.182 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.182 * [taylor]: Taking taylor expansion of th in a1
7.182 * [backup-simplify]: Simplify th into th
7.182 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.182 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.182 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.182 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.182 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.182 * [taylor]: Taking taylor expansion of a2 in a1
7.182 * [backup-simplify]: Simplify a2 into a2
7.182 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.183 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.183 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.183 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.183 * [taylor]: Taking taylor expansion of a1 in a1
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [backup-simplify]: Simplify (* 1 1) into 1
7.183 * [backup-simplify]: Simplify (/ 1 1) into 1
7.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.183 * [taylor]: Taking taylor expansion of 2.0 in a1
7.183 * [backup-simplify]: Simplify 2.0 into 2.0
7.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.184 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.184 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.184 * [backup-simplify]: Simplify (- 0) into 0
7.184 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.185 * [backup-simplify]: Simplify (+ 0 1) into 1
7.185 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.185 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.185 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.185 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.185 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.185 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.185 * [taylor]: Taking taylor expansion of th in a1
7.185 * [backup-simplify]: Simplify th into th
7.185 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.185 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.185 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.185 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.185 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.185 * [taylor]: Taking taylor expansion of a2 in a1
7.185 * [backup-simplify]: Simplify a2 into a2
7.185 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.185 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.186 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.186 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.186 * [taylor]: Taking taylor expansion of a1 in a1
7.186 * [backup-simplify]: Simplify 0 into 0
7.186 * [backup-simplify]: Simplify 1 into 1
7.186 * [backup-simplify]: Simplify (* 1 1) into 1
7.186 * [backup-simplify]: Simplify (/ 1 1) into 1
7.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.186 * [taylor]: Taking taylor expansion of 2.0 in a1
7.186 * [backup-simplify]: Simplify 2.0 into 2.0
7.186 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.187 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.187 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.187 * [backup-simplify]: Simplify (- 0) into 0
7.187 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.188 * [backup-simplify]: Simplify (+ 0 1) into 1
7.188 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.188 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.188 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
7.188 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.188 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.188 * [taylor]: Taking taylor expansion of th in a2
7.188 * [backup-simplify]: Simplify th into th
7.188 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.188 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.188 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.188 * [taylor]: Taking taylor expansion of 2.0 in a2
7.188 * [backup-simplify]: Simplify 2.0 into 2.0
7.189 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.189 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.189 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.189 * [backup-simplify]: Simplify (- 0) into 0
7.189 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.190 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.191 * [backup-simplify]: Simplify (+ 0 0) into 0
7.191 * [backup-simplify]: Simplify (+ 0) into 0
7.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.192 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.192 * [backup-simplify]: Simplify (- 0) into 0
7.193 * [backup-simplify]: Simplify (+ 0 0) into 0
7.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.194 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.194 * [taylor]: Taking taylor expansion of 0 in a2
7.194 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.195 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.197 * [backup-simplify]: Simplify (- 0) into 0
7.198 * [backup-simplify]: Simplify (+ 0 0) into 0
7.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
7.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.200 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
7.200 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
7.200 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.200 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.200 * [taylor]: Taking taylor expansion of th in a2
7.200 * [backup-simplify]: Simplify th into th
7.200 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.200 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.200 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
7.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.200 * [taylor]: Taking taylor expansion of 2.0 in a2
7.200 * [backup-simplify]: Simplify 2.0 into 2.0
7.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.201 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.201 * [taylor]: Taking taylor expansion of a2 in a2
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 1 into 1
7.201 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.201 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.202 * [backup-simplify]: Simplify (- 0) into 0
7.202 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.202 * [backup-simplify]: Simplify (* 1 1) into 1
7.202 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
7.203 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.203 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.203 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.203 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.203 * [taylor]: Taking taylor expansion of th in th
7.203 * [backup-simplify]: Simplify 0 into 0
7.203 * [backup-simplify]: Simplify 1 into 1
7.203 * [backup-simplify]: Simplify (/ 1 1) into 1
7.203 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.203 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.203 * [taylor]: Taking taylor expansion of 2.0 in th
7.203 * [backup-simplify]: Simplify 2.0 into 2.0
7.203 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.204 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.204 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.204 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
7.205 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.205 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.205 * [taylor]: Taking taylor expansion of th in th
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 1 into 1
7.205 * [backup-simplify]: Simplify (/ 1 1) into 1
7.205 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.205 * [taylor]: Taking taylor expansion of 2.0 in th
7.205 * [backup-simplify]: Simplify 2.0 into 2.0
7.205 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.206 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.206 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
7.207 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.209 * [backup-simplify]: Simplify (+ 0 0) into 0
7.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.214 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.214 * [backup-simplify]: Simplify (- 0) into 0
7.214 * [backup-simplify]: Simplify (+ 0 0) into 0
7.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
7.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.220 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
7.220 * [taylor]: Taking taylor expansion of 0 in a2
7.221 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify (+ 0) into 0
7.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.224 * [backup-simplify]: Simplify (- 0) into 0
7.224 * [backup-simplify]: Simplify (+ 0 0) into 0
7.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.226 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
7.227 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.228 * [taylor]: Taking taylor expansion of 0 in th
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [taylor]: Taking taylor expansion of 0 in th
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify (+ 0) into 0
7.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.231 * [backup-simplify]: Simplify (- 0) into 0
7.231 * [backup-simplify]: Simplify (+ 0 0) into 0
7.233 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.233 * [taylor]: Taking taylor expansion of 0 in th
7.233 * [backup-simplify]: Simplify 0 into 0
7.233 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.235 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.237 * [backup-simplify]: Simplify 0 into 0
7.237 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.241 * [backup-simplify]: Simplify (+ 0 0) into 0
7.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
7.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.250 * [backup-simplify]: Simplify (- 0) into 0
7.250 * [backup-simplify]: Simplify (+ 0 0) into 0
7.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
7.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.263 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.263 * [taylor]: Taking taylor expansion of 0 in a2
7.263 * [backup-simplify]: Simplify 0 into 0
7.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.266 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.267 * [backup-simplify]: Simplify (- 0) into 0
7.267 * [backup-simplify]: Simplify (+ 0 0) into 0
7.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.270 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.271 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
7.273 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.273 * [taylor]: Taking taylor expansion of 0 in th
7.273 * [backup-simplify]: Simplify 0 into 0
7.273 * [backup-simplify]: Simplify 0 into 0
7.275 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
7.277 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 (- th)))))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.278 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
7.278 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
7.278 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
7.278 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.278 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.278 * [taylor]: Taking taylor expansion of -1 in th
7.278 * [backup-simplify]: Simplify -1 into -1
7.278 * [taylor]: Taking taylor expansion of th in th
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.278 * [backup-simplify]: Simplify (/ -1 1) into -1
7.278 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.278 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.278 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.278 * [taylor]: Taking taylor expansion of a2 in th
7.278 * [backup-simplify]: Simplify a2 into a2
7.279 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.279 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.279 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.279 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.279 * [taylor]: Taking taylor expansion of a1 in th
7.279 * [backup-simplify]: Simplify a1 into a1
7.279 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.279 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.279 * [taylor]: Taking taylor expansion of 2.0 in th
7.279 * [backup-simplify]: Simplify 2.0 into 2.0
7.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.281 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.281 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
7.282 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
7.282 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
7.282 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
7.282 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.282 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.282 * [taylor]: Taking taylor expansion of -1 in a2
7.282 * [backup-simplify]: Simplify -1 into -1
7.282 * [taylor]: Taking taylor expansion of th in a2
7.282 * [backup-simplify]: Simplify th into th
7.282 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.282 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.282 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.282 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.282 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.282 * [taylor]: Taking taylor expansion of a2 in a2
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify 1 into 1
7.283 * [backup-simplify]: Simplify (* 1 1) into 1
7.283 * [backup-simplify]: Simplify (/ 1 1) into 1
7.283 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.283 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.283 * [taylor]: Taking taylor expansion of a1 in a2
7.283 * [backup-simplify]: Simplify a1 into a1
7.284 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.284 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.284 * [taylor]: Taking taylor expansion of 2.0 in a2
7.284 * [backup-simplify]: Simplify 2.0 into 2.0
7.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.285 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.285 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.286 * [backup-simplify]: Simplify (- 0) into 0
7.286 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.286 * [backup-simplify]: Simplify (+ 1 0) into 1
7.286 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.287 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.287 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.287 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.287 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.287 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.287 * [taylor]: Taking taylor expansion of -1 in a1
7.287 * [backup-simplify]: Simplify -1 into -1
7.287 * [taylor]: Taking taylor expansion of th in a1
7.287 * [backup-simplify]: Simplify th into th
7.287 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.287 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.287 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.287 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.287 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.287 * [taylor]: Taking taylor expansion of a2 in a1
7.287 * [backup-simplify]: Simplify a2 into a2
7.287 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.288 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.288 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.288 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.288 * [taylor]: Taking taylor expansion of a1 in a1
7.288 * [backup-simplify]: Simplify 0 into 0
7.288 * [backup-simplify]: Simplify 1 into 1
7.288 * [backup-simplify]: Simplify (* 1 1) into 1
7.289 * [backup-simplify]: Simplify (/ 1 1) into 1
7.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.289 * [taylor]: Taking taylor expansion of 2.0 in a1
7.289 * [backup-simplify]: Simplify 2.0 into 2.0
7.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.290 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.290 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.291 * [backup-simplify]: Simplify (- 0) into 0
7.291 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.291 * [backup-simplify]: Simplify (+ 0 1) into 1
7.291 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.292 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.292 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
7.292 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
7.292 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.292 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.292 * [taylor]: Taking taylor expansion of -1 in a1
7.292 * [backup-simplify]: Simplify -1 into -1
7.292 * [taylor]: Taking taylor expansion of th in a1
7.292 * [backup-simplify]: Simplify th into th
7.292 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.292 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.292 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.292 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.292 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.292 * [taylor]: Taking taylor expansion of a2 in a1
7.292 * [backup-simplify]: Simplify a2 into a2
7.293 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.293 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.293 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.293 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.293 * [taylor]: Taking taylor expansion of a1 in a1
7.293 * [backup-simplify]: Simplify 0 into 0
7.293 * [backup-simplify]: Simplify 1 into 1
7.293 * [backup-simplify]: Simplify (* 1 1) into 1
7.294 * [backup-simplify]: Simplify (/ 1 1) into 1
7.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.294 * [taylor]: Taking taylor expansion of 2.0 in a1
7.294 * [backup-simplify]: Simplify 2.0 into 2.0
7.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.295 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.295 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.295 * [backup-simplify]: Simplify (- 0) into 0
7.296 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.296 * [backup-simplify]: Simplify (+ 0 1) into 1
7.296 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.297 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.297 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
7.297 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.297 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.297 * [taylor]: Taking taylor expansion of -1 in a2
7.297 * [backup-simplify]: Simplify -1 into -1
7.297 * [taylor]: Taking taylor expansion of th in a2
7.297 * [backup-simplify]: Simplify th into th
7.297 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.297 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.297 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.297 * [taylor]: Taking taylor expansion of 2.0 in a2
7.297 * [backup-simplify]: Simplify 2.0 into 2.0
7.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.299 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.299 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.299 * [backup-simplify]: Simplify (- 0) into 0
7.299 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.300 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.302 * [backup-simplify]: Simplify (+ 0 0) into 0
7.302 * [backup-simplify]: Simplify (+ 0) into 0
7.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.303 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.304 * [backup-simplify]: Simplify (- 0) into 0
7.305 * [backup-simplify]: Simplify (+ 0 0) into 0
7.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.307 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.307 * [taylor]: Taking taylor expansion of 0 in a2
7.307 * [backup-simplify]: Simplify 0 into 0
7.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.309 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.311 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.311 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.312 * [backup-simplify]: Simplify (- 0) into 0
7.313 * [backup-simplify]: Simplify (+ 0 0) into 0
7.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
7.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.317 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
7.317 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
7.317 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.317 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.317 * [taylor]: Taking taylor expansion of -1 in a2
7.317 * [backup-simplify]: Simplify -1 into -1
7.317 * [taylor]: Taking taylor expansion of th in a2
7.317 * [backup-simplify]: Simplify th into th
7.317 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.318 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.318 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.318 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
7.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.318 * [taylor]: Taking taylor expansion of 2.0 in a2
7.318 * [backup-simplify]: Simplify 2.0 into 2.0
7.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.319 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.319 * [taylor]: Taking taylor expansion of a2 in a2
7.319 * [backup-simplify]: Simplify 0 into 0
7.319 * [backup-simplify]: Simplify 1 into 1
7.319 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.319 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.320 * [backup-simplify]: Simplify (- 0) into 0
7.320 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.320 * [backup-simplify]: Simplify (* 1 1) into 1
7.321 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
7.321 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.321 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.321 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.321 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.322 * [taylor]: Taking taylor expansion of -1 in th
7.322 * [backup-simplify]: Simplify -1 into -1
7.322 * [taylor]: Taking taylor expansion of th in th
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.322 * [backup-simplify]: Simplify (/ -1 1) into -1
7.322 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.322 * [taylor]: Taking taylor expansion of 2.0 in th
7.322 * [backup-simplify]: Simplify 2.0 into 2.0
7.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.324 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.324 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.324 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
7.324 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.324 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.324 * [taylor]: Taking taylor expansion of -1 in th
7.325 * [backup-simplify]: Simplify -1 into -1
7.325 * [taylor]: Taking taylor expansion of th in th
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [backup-simplify]: Simplify 1 into 1
7.325 * [backup-simplify]: Simplify (/ -1 1) into -1
7.325 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.325 * [taylor]: Taking taylor expansion of 2.0 in th
7.325 * [backup-simplify]: Simplify 2.0 into 2.0
7.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.327 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.327 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
7.327 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.330 * [backup-simplify]: Simplify (+ 0 0) into 0
7.331 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.332 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.335 * [backup-simplify]: Simplify (- 0) into 0
7.335 * [backup-simplify]: Simplify (+ 0 0) into 0
7.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
7.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.341 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
7.341 * [taylor]: Taking taylor expansion of 0 in a2
7.341 * [backup-simplify]: Simplify 0 into 0
7.341 * [backup-simplify]: Simplify (+ 0) into 0
7.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.342 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.344 * [backup-simplify]: Simplify (- 0) into 0
7.344 * [backup-simplify]: Simplify (+ 0 0) into 0
7.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.346 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
7.347 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.347 * [taylor]: Taking taylor expansion of 0 in th
7.347 * [backup-simplify]: Simplify 0 into 0
7.347 * [backup-simplify]: Simplify 0 into 0
7.347 * [taylor]: Taking taylor expansion of 0 in th
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify (+ 0) into 0
7.349 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.349 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.350 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.350 * [backup-simplify]: Simplify (- 0) into 0
7.351 * [backup-simplify]: Simplify (+ 0 0) into 0
7.353 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.353 * [taylor]: Taking taylor expansion of 0 in th
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.354 * [backup-simplify]: Simplify 0 into 0
7.355 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.355 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
7.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.358 * [backup-simplify]: Simplify (+ 0 0) into 0
7.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
7.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.360 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.361 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.361 * [backup-simplify]: Simplify (- 0) into 0
7.362 * [backup-simplify]: Simplify (+ 0 0) into 0
7.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
7.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.366 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.366 * [taylor]: Taking taylor expansion of 0 in a2
7.366 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.367 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.368 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.368 * [backup-simplify]: Simplify (- 0) into 0
7.368 * [backup-simplify]: Simplify (+ 0 0) into 0
7.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.370 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
7.371 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.372 * [taylor]: Taking taylor expansion of 0 in th
7.372 * [backup-simplify]: Simplify 0 into 0
7.372 * [backup-simplify]: Simplify 0 into 0
7.373 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
7.373 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
7.373 * [backup-simplify]: Simplify (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))) into (* (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cos th))
7.373 * [approximate]: Taking taylor expansion of (* (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cos th)) in (a1 a2 th) around 0
7.373 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cos th)) in th
7.374 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) in th
7.374 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in th
7.374 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
7.374 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.374 * [taylor]: Taking taylor expansion of a2 in th
7.374 * [backup-simplify]: Simplify a2 into a2
7.374 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.374 * [taylor]: Taking taylor expansion of a1 in th
7.374 * [backup-simplify]: Simplify a1 into a1
7.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.374 * [taylor]: Taking taylor expansion of 2.0 in th
7.374 * [backup-simplify]: Simplify 2.0 into 2.0
7.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.374 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.375 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.375 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
7.375 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
7.376 * [backup-simplify]: Simplify (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) into (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)))
7.376 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.376 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.376 * [backup-simplify]: Simplify (+ 0 0) into 0
7.377 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))))) into 0
7.378 * [taylor]: Taking taylor expansion of (cos th) in th
7.378 * [taylor]: Taking taylor expansion of th in th
7.378 * [backup-simplify]: Simplify 0 into 0
7.378 * [backup-simplify]: Simplify 1 into 1
7.378 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cos th)) in a2
7.378 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) in a2
7.378 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a2
7.378 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
7.378 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.378 * [taylor]: Taking taylor expansion of a2 in a2
7.378 * [backup-simplify]: Simplify 0 into 0
7.378 * [backup-simplify]: Simplify 1 into 1
7.378 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.378 * [taylor]: Taking taylor expansion of a1 in a2
7.378 * [backup-simplify]: Simplify a1 into a1
7.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.378 * [taylor]: Taking taylor expansion of 2.0 in a2
7.378 * [backup-simplify]: Simplify 2.0 into 2.0
7.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.379 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.379 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
7.379 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2.0)) into (/ (pow a1 2) (sqrt 2.0))
7.380 * [backup-simplify]: Simplify (sqrt (/ (pow a1 2) (sqrt 2.0))) into (* a1 (sqrt (/ 1 (sqrt 2.0))))
7.380 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.380 * [backup-simplify]: Simplify (+ 0 0) into 0
7.381 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a1 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (pow a1 2) (sqrt 2.0))))) into 0
7.382 * [taylor]: Taking taylor expansion of (cos th) in a2
7.382 * [taylor]: Taking taylor expansion of th in a2
7.382 * [backup-simplify]: Simplify th into th
7.382 * [backup-simplify]: Simplify (cos th) into (cos th)
7.382 * [backup-simplify]: Simplify (sin th) into (sin th)
7.382 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cos th)) in a1
7.382 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) in a1
7.382 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1
7.382 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.382 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.382 * [taylor]: Taking taylor expansion of a2 in a1
7.382 * [backup-simplify]: Simplify a2 into a2
7.382 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.382 * [taylor]: Taking taylor expansion of a1 in a1
7.382 * [backup-simplify]: Simplify 0 into 0
7.382 * [backup-simplify]: Simplify 1 into 1
7.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.382 * [taylor]: Taking taylor expansion of 2.0 in a1
7.382 * [backup-simplify]: Simplify 2.0 into 2.0
7.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.383 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.383 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.384 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
7.384 * [backup-simplify]: Simplify (sqrt (/ (pow a2 2) (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) a2)
7.384 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.385 * [backup-simplify]: Simplify (+ 0 0) into 0
7.386 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (pow a2 2) (sqrt 2.0))))) into 0
7.387 * [taylor]: Taking taylor expansion of (cos th) in a1
7.387 * [taylor]: Taking taylor expansion of th in a1
7.387 * [backup-simplify]: Simplify th into th
7.387 * [backup-simplify]: Simplify (cos th) into (cos th)
7.387 * [backup-simplify]: Simplify (sin th) into (sin th)
7.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) (cos th)) in a1
7.387 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))) in a1
7.387 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1
7.387 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
7.387 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.387 * [taylor]: Taking taylor expansion of a2 in a1
7.387 * [backup-simplify]: Simplify a2 into a2
7.387 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.387 * [taylor]: Taking taylor expansion of a1 in a1
7.387 * [backup-simplify]: Simplify 0 into 0
7.387 * [backup-simplify]: Simplify 1 into 1
7.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.388 * [taylor]: Taking taylor expansion of 2.0 in a1
7.388 * [backup-simplify]: Simplify 2.0 into 2.0
7.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.389 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.389 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
7.390 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2.0)) into (/ (pow a2 2) (sqrt 2.0))
7.390 * [backup-simplify]: Simplify (sqrt (/ (pow a2 2) (sqrt 2.0))) into (* (sqrt (/ 1 (sqrt 2.0))) a2)
7.390 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.391 * [backup-simplify]: Simplify (+ 0 0) into 0
7.392 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (pow a2 2) (sqrt 2.0))))) into 0
7.393 * [taylor]: Taking taylor expansion of (cos th) in a1
7.393 * [taylor]: Taking taylor expansion of th in a1
7.393 * [backup-simplify]: Simplify th into th
7.393 * [backup-simplify]: Simplify (cos th) into (cos th)
7.393 * [backup-simplify]: Simplify (sin th) into (sin th)
7.393 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.393 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.394 * [backup-simplify]: Simplify (- 0) into 0
7.394 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.395 * [backup-simplify]: Simplify (* (* (sqrt (/ 1 (sqrt 2.0))) a2) (cos th)) into (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) a2))
7.395 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) a2)) in a2
7.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
7.396 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
7.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.396 * [taylor]: Taking taylor expansion of 2.0 in a2
7.396 * [backup-simplify]: Simplify 2.0 into 2.0
7.401 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.403 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.405 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.408 * [taylor]: Taking taylor expansion of (* (cos th) a2) in a2
7.408 * [taylor]: Taking taylor expansion of (cos th) in a2
7.408 * [taylor]: Taking taylor expansion of th in a2
7.408 * [backup-simplify]: Simplify th into th
7.408 * [backup-simplify]: Simplify (cos th) into (cos th)
7.408 * [backup-simplify]: Simplify (sin th) into (sin th)
7.408 * [taylor]: Taking taylor expansion of a2 in a2
7.408 * [backup-simplify]: Simplify 0 into 0
7.408 * [backup-simplify]: Simplify 1 into 1
7.408 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.408 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.408 * [backup-simplify]: Simplify (- 0) into 0
7.409 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.409 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.410 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 0) into 0
7.410 * [taylor]: Taking taylor expansion of 0 in th
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify (+ 0) into 0
7.411 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.412 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.412 * [backup-simplify]: Simplify (- 0) into 0
7.413 * [backup-simplify]: Simplify (+ 0 0) into 0
7.414 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (sqrt 2.0))) a2) 0) (* 0 (cos th))) into 0
7.414 * [taylor]: Taking taylor expansion of 0 in a2
7.414 * [backup-simplify]: Simplify 0 into 0
7.414 * [taylor]: Taking taylor expansion of 0 in th
7.414 * [backup-simplify]: Simplify 0 into 0
7.414 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify (+ 0) into 0
7.415 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.416 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.416 * [backup-simplify]: Simplify (- 0) into 0
7.416 * [backup-simplify]: Simplify (+ 0 0) into 0
7.416 * [backup-simplify]: Simplify (+ (* (cos th) 1) (* 0 0)) into (cos th)
7.418 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* 0 0)) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
7.418 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th
7.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
7.418 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
7.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.418 * [taylor]: Taking taylor expansion of 2.0 in th
7.418 * [backup-simplify]: Simplify 2.0 into 2.0
7.418 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.419 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.420 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.421 * [taylor]: Taking taylor expansion of (cos th) in th
7.421 * [taylor]: Taking taylor expansion of th in th
7.421 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify 1 into 1
7.423 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) 1) into (sqrt (/ 1 (sqrt 2.0)))
7.424 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.424 * [backup-simplify]: Simplify 0 into 0
7.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.425 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
7.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.426 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
7.426 * [backup-simplify]: Simplify (- 0) into 0
7.426 * [backup-simplify]: Simplify (+ 0 0) into 0
7.427 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
7.427 * [backup-simplify]: Simplify (* 1 1) into 1
7.427 * [backup-simplify]: Simplify (+ 0 1) into 1
7.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.430 * [backup-simplify]: Simplify (- (/ 1 (sqrt 2.0)) (+ (* (/ (pow a2 2) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ 1 (sqrt 2.0))
7.433 * [backup-simplify]: Simplify (/ (- (/ 1 (sqrt 2.0)) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (sqrt 2.0))) a2))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 a2)))
7.435 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (sqrt 2.0))) a2) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 a2))) (cos th)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos th) a2)))
7.435 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos th) a2))) in a2
7.435 * [taylor]: Taking taylor expansion of 1/2 in a2
7.435 * [backup-simplify]: Simplify 1/2 into 1/2
7.435 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos th) a2)) in a2
7.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
7.435 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
7.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.435 * [taylor]: Taking taylor expansion of 2.0 in a2
7.435 * [backup-simplify]: Simplify 2.0 into 2.0
7.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.436 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.437 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.439 * [taylor]: Taking taylor expansion of (/ (cos th) a2) in a2
7.439 * [taylor]: Taking taylor expansion of (cos th) in a2
7.439 * [taylor]: Taking taylor expansion of th in a2
7.439 * [backup-simplify]: Simplify th into th
7.439 * [backup-simplify]: Simplify (cos th) into (cos th)
7.439 * [backup-simplify]: Simplify (sin th) into (sin th)
7.439 * [taylor]: Taking taylor expansion of a2 in a2
7.439 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify 1 into 1
7.439 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
7.439 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.439 * [backup-simplify]: Simplify (- 0) into 0
7.439 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
7.439 * [backup-simplify]: Simplify (/ (cos th) 1) into (cos th)
7.439 * [backup-simplify]: Simplify (+ 0) into 0
7.440 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
7.440 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.441 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
7.441 * [backup-simplify]: Simplify (- 0) into 0
7.441 * [backup-simplify]: Simplify (+ 0 0) into 0
7.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos th) (/ 0 1)))) into 0
7.442 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos th))) into 0
7.443 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) into (* (sqrt (/ 1 (sqrt 2.0))) (cos th))
7.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sqrt (/ 1 (sqrt 2.0))) (cos th)))) into 0
7.444 * [taylor]: Taking taylor expansion of 0 in th
7.444 * [backup-simplify]: Simplify 0 into 0
7.444 * [backup-simplify]: Simplify 0 into 0
7.444 * [taylor]: Taking taylor expansion of 0 in th
7.444 * [backup-simplify]: Simplify 0 into 0
7.444 * [backup-simplify]: Simplify 0 into 0
7.445 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.445 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
7.446 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.446 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
7.447 * [backup-simplify]: Simplify (- 0) into 0
7.447 * [backup-simplify]: Simplify (+ 0 0) into 0
7.447 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 1) (* 0 0))) into 0
7.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.450 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 (cos th)) (* 0 0))) into 0
7.450 * [taylor]: Taking taylor expansion of 0 in th
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify (+ 0) into 0
7.451 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 1)) into 0
7.451 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (* 1 (* a2 1))) into (* (sqrt (/ 1 (sqrt 2.0))) a2)
7.453 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 th)))) into (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ 1 th)))
7.453 * [approximate]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ 1 th))) in (a1 a2 th) around 0
7.453 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ 1 th))) in th
7.453 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in th
7.453 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in th
7.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.453 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.453 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.454 * [taylor]: Taking taylor expansion of a2 in th
7.454 * [backup-simplify]: Simplify a2 into a2
7.454 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.454 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.454 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.454 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.454 * [taylor]: Taking taylor expansion of a1 in th
7.454 * [backup-simplify]: Simplify a1 into a1
7.454 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.454 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.454 * [taylor]: Taking taylor expansion of 2.0 in th
7.454 * [backup-simplify]: Simplify 2.0 into 2.0
7.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.455 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.455 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) into (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))
7.456 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) into (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)))
7.456 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.456 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.456 * [backup-simplify]: Simplify (+ 0 0) into 0
7.458 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))))) into 0
7.458 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.458 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.458 * [taylor]: Taking taylor expansion of th in th
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify 1 into 1
7.458 * [backup-simplify]: Simplify (/ 1 1) into 1
7.458 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ 1 th))) in a2
7.459 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in a2
7.459 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a2
7.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.459 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.459 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.459 * [taylor]: Taking taylor expansion of a2 in a2
7.459 * [backup-simplify]: Simplify 0 into 0
7.459 * [backup-simplify]: Simplify 1 into 1
7.459 * [backup-simplify]: Simplify (* 1 1) into 1
7.459 * [backup-simplify]: Simplify (/ 1 1) into 1
7.459 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.459 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.459 * [taylor]: Taking taylor expansion of a1 in a2
7.459 * [backup-simplify]: Simplify a1 into a1
7.459 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.459 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.459 * [taylor]: Taking taylor expansion of 2.0 in a2
7.459 * [backup-simplify]: Simplify 2.0 into 2.0
7.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.460 * [backup-simplify]: Simplify (+ 1 0) into 1
7.461 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.462 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.463 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.464 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.464 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.464 * [taylor]: Taking taylor expansion of th in a2
7.465 * [backup-simplify]: Simplify th into th
7.465 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.465 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.465 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.465 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ 1 th))) in a1
7.465 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in a1
7.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
7.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.465 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.465 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.465 * [taylor]: Taking taylor expansion of a2 in a1
7.465 * [backup-simplify]: Simplify a2 into a2
7.465 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.465 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.465 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.465 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.465 * [taylor]: Taking taylor expansion of a1 in a1
7.465 * [backup-simplify]: Simplify 0 into 0
7.465 * [backup-simplify]: Simplify 1 into 1
7.465 * [backup-simplify]: Simplify (* 1 1) into 1
7.466 * [backup-simplify]: Simplify (/ 1 1) into 1
7.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.466 * [taylor]: Taking taylor expansion of 2.0 in a1
7.466 * [backup-simplify]: Simplify 2.0 into 2.0
7.466 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.467 * [backup-simplify]: Simplify (+ 0 1) into 1
7.468 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.469 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.470 * [backup-simplify]: Simplify (+ 0 0) into 0
7.470 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.471 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.471 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.471 * [taylor]: Taking taylor expansion of th in a1
7.471 * [backup-simplify]: Simplify th into th
7.471 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.471 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.471 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.471 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ 1 th))) in a1
7.471 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in a1
7.471 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
7.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.471 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.471 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.471 * [taylor]: Taking taylor expansion of a2 in a1
7.471 * [backup-simplify]: Simplify a2 into a2
7.471 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.472 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.472 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.472 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.472 * [taylor]: Taking taylor expansion of a1 in a1
7.472 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify 1 into 1
7.472 * [backup-simplify]: Simplify (* 1 1) into 1
7.472 * [backup-simplify]: Simplify (/ 1 1) into 1
7.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.472 * [taylor]: Taking taylor expansion of 2.0 in a1
7.472 * [backup-simplify]: Simplify 2.0 into 2.0
7.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.473 * [backup-simplify]: Simplify (+ 0 1) into 1
7.474 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.475 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.476 * [backup-simplify]: Simplify (+ 0 0) into 0
7.477 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.477 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
7.477 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
7.477 * [taylor]: Taking taylor expansion of th in a1
7.477 * [backup-simplify]: Simplify th into th
7.477 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.477 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.477 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.478 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.478 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.478 * [backup-simplify]: Simplify (- 0) into 0
7.478 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.479 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
7.479 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in a2
7.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
7.479 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
7.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.479 * [taylor]: Taking taylor expansion of 2.0 in a2
7.479 * [backup-simplify]: Simplify 2.0 into 2.0
7.479 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.480 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.481 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.483 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.483 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.483 * [taylor]: Taking taylor expansion of th in a2
7.483 * [backup-simplify]: Simplify th into th
7.483 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.483 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.483 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.483 * [backup-simplify]: Simplify (+ 0) into 0
7.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.485 * [backup-simplify]: Simplify (- 0) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.485 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
7.485 * [taylor]: Taking taylor expansion of 0 in a2
7.485 * [backup-simplify]: Simplify 0 into 0
7.486 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.486 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.486 * [backup-simplify]: Simplify (- 0) into 0
7.486 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.487 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
7.487 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th
7.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
7.487 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
7.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.487 * [taylor]: Taking taylor expansion of 2.0 in th
7.487 * [backup-simplify]: Simplify 2.0 into 2.0
7.487 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.488 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.489 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.491 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
7.491 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.491 * [taylor]: Taking taylor expansion of th in th
7.491 * [backup-simplify]: Simplify 0 into 0
7.491 * [backup-simplify]: Simplify 1 into 1
7.491 * [backup-simplify]: Simplify (/ 1 1) into 1
7.491 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.492 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
7.494 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
7.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.497 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.498 * [backup-simplify]: Simplify (- 0) into 0
7.499 * [backup-simplify]: Simplify (+ 0 0) into 0
7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.501 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.510 * [backup-simplify]: Simplify (- (/ (/ 1 (pow a2 2)) (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ 1 (* (sqrt 2.0) (pow a2 2)))
7.514 * [backup-simplify]: Simplify (/ (- (/ 1 (* (sqrt 2.0) (pow a2 2))) (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))))
7.518 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))) (cos (/ 1 th))))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))))
7.518 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2)))) in a2
7.519 * [taylor]: Taking taylor expansion of 1/2 in a2
7.519 * [backup-simplify]: Simplify 1/2 into 1/2
7.519 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) in a2
7.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
7.519 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
7.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.519 * [taylor]: Taking taylor expansion of 2.0 in a2
7.519 * [backup-simplify]: Simplify 2.0 into 2.0
7.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.521 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.523 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.525 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
7.525 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
7.525 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
7.525 * [taylor]: Taking taylor expansion of th in a2
7.525 * [backup-simplify]: Simplify th into th
7.525 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.525 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.526 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.526 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.526 * [taylor]: Taking taylor expansion of a2 in a2
7.526 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify 1 into 1
7.526 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.526 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
7.526 * [backup-simplify]: Simplify (- 0) into 0
7.526 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
7.527 * [backup-simplify]: Simplify (* 1 1) into 1
7.527 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
7.527 * [backup-simplify]: Simplify (+ 0) into 0
7.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.529 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.530 * [backup-simplify]: Simplify (- 0) into 0
7.530 * [backup-simplify]: Simplify (+ 0 0) into 0
7.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
7.533 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
7.534 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))
7.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))))) into 0
7.537 * [taylor]: Taking taylor expansion of 0 in th
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [taylor]: Taking taylor expansion of 0 in th
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify (+ 0) into 0
7.538 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
7.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.539 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
7.540 * [backup-simplify]: Simplify (- 0) into 0
7.540 * [backup-simplify]: Simplify (+ 0 0) into 0
7.541 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
7.541 * [taylor]: Taking taylor expansion of 0 in th
7.541 * [backup-simplify]: Simplify 0 into 0
7.541 * [backup-simplify]: Simplify 0 into 0
7.542 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ 1 th)))) into 0
7.542 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.545 * [backup-simplify]: Simplify (- 0) into 0
7.545 * [backup-simplify]: Simplify (+ 0 0) into 0
7.545 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.547 * [backup-simplify]: Simplify (+ 0 0) into 0
7.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.550 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
7.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))))))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.554 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))) 0) (* 0 (cos (/ 1 th)))))) into 0
7.554 * [taylor]: Taking taylor expansion of 0 in a2
7.554 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.556 * [backup-simplify]: Simplify (- 0) into 0
7.557 * [backup-simplify]: Simplify (+ 0 0) into 0
7.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.562 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ 1 th))))) into 0
7.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th)))))) into 0
7.563 * [taylor]: Taking taylor expansion of 0 in th
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [taylor]: Taking taylor expansion of 0 in th
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify 0 into 0
7.564 * [backup-simplify]: Simplify (* (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 (/ 1 th)))) (* 1 (* 1 (/ 1 (/ 1 a1))))) into (* (sqrt (/ 1 (sqrt 2.0))) (* a1 (cos th)))
7.565 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (/ (sqrt (sqrt 2.0)) (cos (/ 1 (- th))))) into (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ -1 th)))
7.565 * [approximate]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ -1 th))) in (a1 a2 th) around 0
7.565 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ -1 th))) in th
7.565 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in th
7.565 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in th
7.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
7.565 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
7.565 * [taylor]: Taking taylor expansion of (pow a2 2) in th
7.566 * [taylor]: Taking taylor expansion of a2 in th
7.566 * [backup-simplify]: Simplify a2 into a2
7.566 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.566 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.566 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
7.566 * [taylor]: Taking taylor expansion of (pow a1 2) in th
7.566 * [taylor]: Taking taylor expansion of a1 in th
7.566 * [backup-simplify]: Simplify a1 into a1
7.566 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.566 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.566 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.566 * [taylor]: Taking taylor expansion of 2.0 in th
7.566 * [backup-simplify]: Simplify 2.0 into 2.0
7.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.567 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
7.567 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) into (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))
7.568 * [backup-simplify]: Simplify (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) into (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)))
7.568 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.568 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
7.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
7.568 * [backup-simplify]: Simplify (+ 0 0) into 0
7.570 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))))) into 0
7.570 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.570 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.570 * [taylor]: Taking taylor expansion of -1 in th
7.570 * [backup-simplify]: Simplify -1 into -1
7.570 * [taylor]: Taking taylor expansion of th in th
7.570 * [backup-simplify]: Simplify 0 into 0
7.570 * [backup-simplify]: Simplify 1 into 1
7.571 * [backup-simplify]: Simplify (/ -1 1) into -1
7.571 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.571 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ -1 th))) in a2
7.571 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in a2
7.571 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a2
7.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
7.571 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
7.571 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.571 * [taylor]: Taking taylor expansion of a2 in a2
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 1 into 1
7.571 * [backup-simplify]: Simplify (* 1 1) into 1
7.571 * [backup-simplify]: Simplify (/ 1 1) into 1
7.571 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
7.571 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
7.571 * [taylor]: Taking taylor expansion of a1 in a2
7.571 * [backup-simplify]: Simplify a1 into a1
7.571 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
7.571 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
7.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.571 * [taylor]: Taking taylor expansion of 2.0 in a2
7.572 * [backup-simplify]: Simplify 2.0 into 2.0
7.572 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.573 * [backup-simplify]: Simplify (+ 1 0) into 1
7.573 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.574 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.575 * [backup-simplify]: Simplify (+ 0 0) into 0
7.576 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.576 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.576 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.577 * [taylor]: Taking taylor expansion of -1 in a2
7.577 * [backup-simplify]: Simplify -1 into -1
7.577 * [taylor]: Taking taylor expansion of th in a2
7.577 * [backup-simplify]: Simplify th into th
7.577 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.577 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.577 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.577 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ -1 th))) in a1
7.577 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in a1
7.577 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
7.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.577 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.577 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.577 * [taylor]: Taking taylor expansion of a2 in a1
7.577 * [backup-simplify]: Simplify a2 into a2
7.577 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.577 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.577 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.577 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.577 * [taylor]: Taking taylor expansion of a1 in a1
7.577 * [backup-simplify]: Simplify 0 into 0
7.577 * [backup-simplify]: Simplify 1 into 1
7.578 * [backup-simplify]: Simplify (* 1 1) into 1
7.578 * [backup-simplify]: Simplify (/ 1 1) into 1
7.578 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.578 * [taylor]: Taking taylor expansion of 2.0 in a1
7.578 * [backup-simplify]: Simplify 2.0 into 2.0
7.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.579 * [backup-simplify]: Simplify (+ 0 1) into 1
7.579 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.580 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.581 * [backup-simplify]: Simplify (+ 0 0) into 0
7.582 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.583 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.583 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.583 * [taylor]: Taking taylor expansion of -1 in a1
7.584 * [backup-simplify]: Simplify -1 into -1
7.584 * [taylor]: Taking taylor expansion of th in a1
7.584 * [backup-simplify]: Simplify th into th
7.584 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.584 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.584 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.584 * [taylor]: Taking taylor expansion of (* (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) (cos (/ -1 th))) in a1
7.584 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0))) in a1
7.584 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (sqrt 2.0)) in a1
7.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
7.584 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
7.584 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
7.584 * [taylor]: Taking taylor expansion of a2 in a1
7.584 * [backup-simplify]: Simplify a2 into a2
7.584 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
7.584 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
7.584 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
7.584 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
7.584 * [taylor]: Taking taylor expansion of a1 in a1
7.584 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 1 into 1
7.585 * [backup-simplify]: Simplify (* 1 1) into 1
7.585 * [backup-simplify]: Simplify (/ 1 1) into 1
7.585 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
7.585 * [taylor]: Taking taylor expansion of 2.0 in a1
7.585 * [backup-simplify]: Simplify 2.0 into 2.0
7.586 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.587 * [backup-simplify]: Simplify (+ 0 1) into 1
7.588 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.590 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.591 * [backup-simplify]: Simplify (+ 0 0) into 0
7.593 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.594 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
7.594 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
7.594 * [taylor]: Taking taylor expansion of -1 in a1
7.594 * [backup-simplify]: Simplify -1 into -1
7.594 * [taylor]: Taking taylor expansion of th in a1
7.594 * [backup-simplify]: Simplify th into th
7.594 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.594 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.594 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.594 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.595 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.595 * [backup-simplify]: Simplify (- 0) into 0
7.595 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.597 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
7.597 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in a2
7.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
7.597 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
7.597 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.597 * [taylor]: Taking taylor expansion of 2.0 in a2
7.597 * [backup-simplify]: Simplify 2.0 into 2.0
7.597 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.599 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.600 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.603 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.603 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.603 * [taylor]: Taking taylor expansion of -1 in a2
7.603 * [backup-simplify]: Simplify -1 into -1
7.603 * [taylor]: Taking taylor expansion of th in a2
7.603 * [backup-simplify]: Simplify th into th
7.603 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.603 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.603 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.603 * [backup-simplify]: Simplify (+ 0) into 0
7.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.604 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.606 * [backup-simplify]: Simplify (- 0) into 0
7.606 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
7.607 * [taylor]: Taking taylor expansion of 0 in a2
7.607 * [backup-simplify]: Simplify 0 into 0
7.607 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.607 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.607 * [backup-simplify]: Simplify (- 0) into 0
7.608 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.609 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
7.609 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th
7.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th
7.609 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
7.609 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
7.609 * [taylor]: Taking taylor expansion of 2.0 in th
7.609 * [backup-simplify]: Simplify 2.0 into 2.0
7.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.611 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.612 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.615 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
7.615 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.615 * [taylor]: Taking taylor expansion of -1 in th
7.615 * [backup-simplify]: Simplify -1 into -1
7.615 * [taylor]: Taking taylor expansion of th in th
7.615 * [backup-simplify]: Simplify 0 into 0
7.615 * [backup-simplify]: Simplify 1 into 1
7.616 * [backup-simplify]: Simplify (/ -1 1) into -1
7.616 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.617 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
7.619 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
7.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.621 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.621 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.622 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.623 * [backup-simplify]: Simplify (- 0) into 0
7.623 * [backup-simplify]: Simplify (+ 0 0) into 0
7.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.624 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
7.625 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.626 * [backup-simplify]: Simplify (- (/ (/ 1 (pow a2 2)) (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ 1 (* (sqrt 2.0) (pow a2 2)))
7.633 * [backup-simplify]: Simplify (/ (- (/ 1 (* (sqrt 2.0) (pow a2 2))) (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2))))
7.635 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))) (cos (/ -1 th))))) into (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))))
7.635 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2)))) in a2
7.635 * [taylor]: Taking taylor expansion of 1/2 in a2
7.635 * [backup-simplify]: Simplify 1/2 into 1/2
7.635 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) in a2
7.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2
7.635 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
7.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
7.635 * [taylor]: Taking taylor expansion of 2.0 in a2
7.635 * [backup-simplify]: Simplify 2.0 into 2.0
7.636 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
7.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
7.637 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
7.638 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 2.0))) into (sqrt (/ 1 (sqrt 2.0)))
7.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
7.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.639 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
7.639 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
7.639 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
7.639 * [taylor]: Taking taylor expansion of -1 in a2
7.639 * [backup-simplify]: Simplify -1 into -1
7.639 * [taylor]: Taking taylor expansion of th in a2
7.639 * [backup-simplify]: Simplify th into th
7.639 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.639 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.639 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.639 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
7.639 * [taylor]: Taking taylor expansion of a2 in a2
7.639 * [backup-simplify]: Simplify 0 into 0
7.639 * [backup-simplify]: Simplify 1 into 1
7.639 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.639 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
7.640 * [backup-simplify]: Simplify (- 0) into 0
7.640 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
7.640 * [backup-simplify]: Simplify (* 1 1) into 1
7.640 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
7.640 * [backup-simplify]: Simplify (+ 0) into 0
7.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.641 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.642 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.642 * [backup-simplify]: Simplify (- 0) into 0
7.642 * [backup-simplify]: Simplify (+ 0 0) into 0
7.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
7.644 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
7.645 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) into (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))
7.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))))) into 0
7.646 * [taylor]: Taking taylor expansion of 0 in th
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [taylor]: Taking taylor expansion of 0 in th
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify 0 into 0
7.646 * [backup-simplify]: Simplify (+ 0) into 0
7.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
7.647 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.647 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
7.648 * [backup-simplify]: Simplify (- 0) into 0
7.648 * [backup-simplify]: Simplify (+ 0 0) into 0
7.648 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
7.649 * [taylor]: Taking taylor expansion of 0 in th
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.649 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (* 0 (cos (/ -1 th)))) into 0
7.649 * [backup-simplify]: Simplify 0 into 0
7.650 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.651 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.652 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.654 * [backup-simplify]: Simplify (- 0) into 0
7.654 * [backup-simplify]: Simplify (+ 0 0) into 0
7.654 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
7.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.657 * [backup-simplify]: Simplify (+ 0 0) into 0
7.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
7.661 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ 1 (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
7.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))))))) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.669 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (/ 1 (pow a2 2)))) 0) (* 0 (cos (/ -1 th)))))) into 0
7.669 * [taylor]: Taking taylor expansion of 0 in a2
7.669 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.671 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.672 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.672 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.673 * [backup-simplify]: Simplify (- 0) into 0
7.673 * [backup-simplify]: Simplify (+ 0 0) into 0
7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
7.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
7.680 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt 2.0))))) into 0
7.681 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 2.0))) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
7.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th)))))) into 0
7.684 * [taylor]: Taking taylor expansion of 0 in th
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [taylor]: Taking taylor expansion of 0 in th
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 0 into 0
7.686 * [backup-simplify]: Simplify (* (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 (/ 1 (- th))))) (* 1 (* 1 (/ 1 (/ 1 (- a1)))))) into (* -1 (* (sqrt (/ 1 (sqrt 2.0))) (* a1 (cos th))))
7.686 * * * [progress]: simplifying candidates
7.699 * [simplify]: Simplifying:
  (log (sqrt (+ (* a1 a1) (pow a2 2))))
  (exp (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (cbrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2))))
  (sqrt (- (* a1 a1) (pow a2 2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (log (sqrt (+ (* a1 a1) (pow a2 2))))
  (exp (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (cbrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2))))
  (sqrt (- (* a1 a1) (pow a2 2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (sqrt (sqrt 2.0)))) (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (- (log (sqrt (sqrt 2.0))) (log (cos th)))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (sqrt (sqrt 2.0)))) (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (/ (sqrt (sqrt 2.0)) (cos th)))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (sqrt (sqrt 2.0)))) (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (- (log (sqrt (sqrt 2.0))) (log (cos th)))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (/ (sqrt (sqrt 2.0)) (cos th)))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (log (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (exp (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (cos th) (cos th)) (cos th)))))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (cos th) (cos th)) (cos th)))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (/ (sqrt (sqrt 2.0)) (cos th)) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))) (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))))
  (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (sqrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (sqrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (* (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt 1)) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt 1)) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ 1 (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (/ 1 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) 1))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt 1)) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt 1)) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ 1 (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (/ 1 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) 1))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2))))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt 1)) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt 1)) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ 1 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) 1))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt 1)) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt 1)) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt 1) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ 1 (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (/ 1 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) 1))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt 1) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt 1)) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt 1)) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt 1) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ 1 (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (/ 1 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) 1))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt 1)) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt 1)) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt 1) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt 1) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ 1 (sqrt (cos th)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ 1 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 1))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) 1)
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))))
  (* (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
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  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th))))
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  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 1)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt 1)) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ 1 (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ (sqrt 1) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (/ 1 (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (/ 1 (/ 1 (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  (/ 1 (/ 1 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (cos th)))
  (/ 1 (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 1)) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 1)) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt 1)) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 1) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 1) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt 1) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ (sqrt (sqrt (sqrt 2.0))) 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 (sqrt (cos th))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (/ 1 1))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (pow a2 2))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2))))))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (- (* a1 a1) (pow a2 2))))
  a2
  a1
  (* -1 a1)
  a2
  a1
  (* -1 a1)
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (* (sqrt (/ 1 (sqrt 2.0))) a2)
  (* (sqrt (/ 1 (sqrt 2.0))) (* a1 (cos th)))
  (* -1 (* (sqrt (/ 1 (sqrt 2.0))) (* a1 (cos th))))
7.715 * * [simplify]: iteration 0: 565 enodes
8.077 * * [simplify]: iteration 1: 1964 enodes
8.595 * * [simplify]: iteration complete: 5001 enodes
8.595 * * [simplify]: Extracting #0: cost 313 inf + 0
8.600 * * [simplify]: Extracting #1: cost 1431 inf + 4
8.614 * * [simplify]: Extracting #2: cost 1935 inf + 178
8.630 * * [simplify]: Extracting #3: cost 1967 inf + 590
8.655 * * [simplify]: Extracting #4: cost 1574 inf + 5315
8.666 * * [simplify]: Extracting #5: cost 760 inf + 21532
8.673 * * [simplify]: Extracting #6: cost 86 inf + 37395
8.680 * * [simplify]: Extracting #7: cost 0 inf + 39955
8.687 * * [simplify]: Extracting #8: cost 0 inf + 39953
8.700 * [simplify]: Simplified to:
  (log (sqrt (+ (* a2 a2) (* a1 a1))))
  (exp (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
  (sqrt (- (+ (pow a1 4) (pow a2 4)) (* (* a2 a2) (* a1 a1))))
  (sqrt (- (pow a1 4) (pow a2 4)))
  (sqrt (- (* a1 a1) (* a2 a2)))
  1/2
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (log (sqrt (+ (* a2 a2) (* a1 a1))))
  (exp (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)
  (fabs (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (cbrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  1
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (pow (* a2 a2) 3) (pow (* a1 a1) 3)))
  (sqrt (- (+ (pow a1 4) (pow a2 4)) (* (* a2 a2) (* a1 a1))))
  (sqrt (- (pow a1 4) (pow a2 4)))
  (sqrt (- (* a1 a1) (* a2 a2)))
  1/2
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (log (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (log (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (log (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (log (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (log (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (log (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (log (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (pow (exp (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (sqrt (sqrt 2.0)) 3)) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)) (pow (/ (sqrt (sqrt 2.0)) (cos th)) 3))
  (/ (* (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (sqrt (sqrt 2.0)) 3)) (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3)) (pow (/ (sqrt (sqrt 2.0)) (cos th)) 3))
  (* (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) 3) (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (sqrt (sqrt 2.0)) 3)))
  (* (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (/ (sqrt (sqrt 2.0)) (cos th)) 3)) (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) 3))
  (* (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (/ (sqrt (sqrt 2.0)) (cos th)) 3)) (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) 3))
  (* (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) 3) (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) 3))
  (* (cbrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))) (cbrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))))
  (cbrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (pow (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))) 3)
  (sqrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (sqrt (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))))
  (+ (* a2 a2) (* a1 a1))
  (/ (sqrt 2.0) (cos th))
  (* (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))) (sqrt (sqrt (sqrt 2.0))))
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  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (sqrt (fabs (cbrt 2.0))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (cbrt (cos th))))
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  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
  (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (cbrt (cos th))))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))) (* (cbrt (cos th)) (cbrt (cos th)))) (sqrt (sqrt 2.0)))
  (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th)))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (/ (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))))
  (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))))
  (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))))
  (* (* (fabs (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt 2.0)))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (sqrt (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))) (sqrt (sqrt 2.0)))
  (* (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (fabs (cbrt (sqrt 2.0))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (/ (sqrt (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th)))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (fabs (cbrt 2.0))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0))))
  (/ (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th))) (/ (cbrt (sqrt (sqrt 2.0))) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (/ (sqrt (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (/ (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (cbrt 2.0)))))
  (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))) (cos th)) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (cbrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (cbrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
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  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (/ (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (/ (* (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0))) (* (cos th) (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) (sqrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0)))
  (/ (+ (* a2 a2) (* a1 a1)) (/ (sqrt (sqrt 2.0)) (cos th)))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (log (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (exp (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (/ (sqrt (sqrt 2.0)) (cos th)) 3))
  (/ (pow (sqrt (+ (* a2 a2) (* a1 a1))) 3) (pow (/ (sqrt (sqrt 2.0)) (cos th)) 3))
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  (cbrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (pow (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))) 3)
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (sqrt (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th))))
  (- (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (- (sqrt (sqrt 2.0))) (cos th))
  (/ (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))) (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (sqrt 2.0))) (cbrt (cos th))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (fabs (cbrt (sqrt 2.0))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (fabs (cbrt 2.0)))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (cbrt 2.0)))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (fabs (cbrt 2.0))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (cbrt 2.0))) (cos th)))
  (* (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cos th))
  (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cos th))
  (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cos th))
  (* (* (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt (sqrt 2.0))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cos th))
  (* (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cbrt (cos th)))
  (* (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (cos th)))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cos th))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (* (/ (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (cos th))
  (/ (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (sqrt (+ (* a2 a2) (* a1 a1))))) (sqrt (sqrt 2.0)))
  (* (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))
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  1
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  1
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  1
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  1
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  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th))) (cbrt (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cbrt (cos th))) (cbrt (cos th)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (cos th)))
  (* (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0))) (sqrt (cos th)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (sqrt (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th))
  (/ 1 (* (cbrt (/ (sqrt (sqrt 2.0)) (cos th))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ 1 (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (* (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (cbrt (sqrt (sqrt 2.0))) (cos th)))
  (/ 1 (/ (fabs (cbrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cbrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ 1 (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (/ 1 (/ (/ (sqrt (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (cbrt 2.0))) (cbrt (cos th))))
  (/ 1 (/ (sqrt (fabs (cbrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (sqrt (cos th)))
  (/ 1 (sqrt (fabs (cbrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (cbrt 2.0)))) (cos th))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (cbrt (cos th)))
  (/ 1 (/ (sqrt (sqrt (sqrt 2.0))) (sqrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ 1 (sqrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt (sqrt 2.0))) (cos th)))
  (* (cbrt (cos th)) (cbrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))))
  (sqrt (cos th))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  1
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ 1 (sqrt (sqrt 2.0)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (cos th))
  (/ 1 (/ (sqrt (sqrt 2.0)) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (/ (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th)))) (cbrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (/ (sqrt (sqrt 2.0)) (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (fabs (cbrt (sqrt 2.0))) (sqrt (cos th))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (fabs (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (/ (/ (sqrt (fabs (cbrt 2.0))) (cbrt (cos th))) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (fabs (cbrt 2.0))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))))
  (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (* a2 a2) (* a1 a1))) (cbrt (cos th))) (cbrt (cos th)))
  (* (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (cos th)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (sqrt (+ (* a2 a2) (* a1 a1)))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (cbrt (sqrt (+ (* a2 a2) (* a1 a1)))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (cbrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (* a2 a2) (* a1 a1)))) (cos th)))
  (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1))))
  (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt (sqrt 2.0)))
  (/ (* (sqrt (sqrt 2.0)) (sqrt (- (+ (pow a1 4) (pow a2 4)) (* (* a2 a2) (* a1 a1))))) (cos th))
  (* (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (- (* a1 a1) (* a2 a2))))
  a2
  a1
  (- a1)
  a2
  a1
  (- a1)
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (/ (* (* a2 a2) (cos th)) (sqrt 2.0)))
  (+ (/ (* (cos th) (* a1 a1)) (sqrt 2.0)) (/ (* (* a2 a2) (cos th)) (sqrt 2.0)))
  (* (sqrt (/ 1 (sqrt 2.0))) a2)
  (* (* (sqrt (/ 1 (sqrt 2.0))) a1) (cos th))
  (* (- (* a1 (cos th))) (sqrt (/ 1 (sqrt 2.0))))
8.706 * * * [progress]: adding candidates to table
11.588 * * [progress]: iteration 4 / 4
11.588 * * * [progress]: picking best candidate
11.614 * * * * [pick]: Picked  #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))>
11.614 * * * [progress]: localizing error
11.641 * * * [progress]: generating rewritten candidates
11.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
11.672 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
11.687 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.803 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
11.836 * * * [progress]: generating series expansions
11.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
11.836 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (pow a2 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
11.836 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
11.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
11.836 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
11.836 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.836 * [taylor]: Taking taylor expansion of a2 in a2
11.836 * [backup-simplify]: Simplify 0 into 0
11.836 * [backup-simplify]: Simplify 1 into 1
11.836 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.837 * [taylor]: Taking taylor expansion of a1 in a2
11.837 * [backup-simplify]: Simplify a1 into a1
11.837 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.837 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
11.837 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
11.837 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
11.837 * [backup-simplify]: Simplify (+ 0 0) into 0
11.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
11.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
11.838 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.838 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.838 * [taylor]: Taking taylor expansion of a2 in a1
11.838 * [backup-simplify]: Simplify a2 into a2
11.838 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.838 * [taylor]: Taking taylor expansion of a1 in a1
11.838 * [backup-simplify]: Simplify 0 into 0
11.838 * [backup-simplify]: Simplify 1 into 1
11.838 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.838 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.838 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
11.838 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.838 * [backup-simplify]: Simplify (+ 0 0) into 0
11.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
11.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
11.838 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.838 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.838 * [taylor]: Taking taylor expansion of a2 in a1
11.838 * [backup-simplify]: Simplify a2 into a2
11.838 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.838 * [taylor]: Taking taylor expansion of a1 in a1
11.838 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify 1 into 1
11.839 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.839 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.839 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
11.839 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.839 * [backup-simplify]: Simplify (+ 0 0) into 0
11.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
11.839 * [taylor]: Taking taylor expansion of a2 in a2
11.839 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify 1 into 1
11.839 * [backup-simplify]: Simplify 0 into 0
11.839 * [taylor]: Taking taylor expansion of 0 in a2
11.839 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify 1 into 1
11.840 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
11.840 * [backup-simplify]: Simplify (* 1 1) into 1
11.840 * [backup-simplify]: Simplify (+ 0 1) into 1
11.841 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
11.841 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
11.841 * [taylor]: Taking taylor expansion of 1/2 in a2
11.841 * [backup-simplify]: Simplify 1/2 into 1/2
11.841 * [taylor]: Taking taylor expansion of a2 in a2
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify 1 into 1
11.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
11.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.843 * [backup-simplify]: Simplify (+ 0 0) into 0
11.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
11.843 * [taylor]: Taking taylor expansion of 0 in a2
11.843 * [backup-simplify]: Simplify 0 into 0
11.843 * [backup-simplify]: Simplify 0 into 0
11.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.844 * [backup-simplify]: Simplify 0 into 0
11.844 * [backup-simplify]: Simplify 0 into 0
11.844 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
11.844 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
11.844 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
11.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.844 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.844 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.844 * [taylor]: Taking taylor expansion of a2 in a2
11.844 * [backup-simplify]: Simplify 0 into 0
11.844 * [backup-simplify]: Simplify 1 into 1
11.845 * [backup-simplify]: Simplify (* 1 1) into 1
11.845 * [backup-simplify]: Simplify (/ 1 1) into 1
11.845 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.845 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.845 * [taylor]: Taking taylor expansion of a1 in a2
11.845 * [backup-simplify]: Simplify a1 into a1
11.845 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.845 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.845 * [backup-simplify]: Simplify (+ 1 0) into 1
11.846 * [backup-simplify]: Simplify (sqrt 1) into 1
11.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.847 * [backup-simplify]: Simplify (+ 0 0) into 0
11.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.847 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.847 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.847 * [taylor]: Taking taylor expansion of a2 in a1
11.847 * [backup-simplify]: Simplify a2 into a2
11.847 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.847 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.848 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.848 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.848 * [taylor]: Taking taylor expansion of a1 in a1
11.848 * [backup-simplify]: Simplify 0 into 0
11.848 * [backup-simplify]: Simplify 1 into 1
11.848 * [backup-simplify]: Simplify (* 1 1) into 1
11.848 * [backup-simplify]: Simplify (/ 1 1) into 1
11.848 * [backup-simplify]: Simplify (+ 0 1) into 1
11.849 * [backup-simplify]: Simplify (sqrt 1) into 1
11.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.850 * [backup-simplify]: Simplify (+ 0 0) into 0
11.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.850 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.850 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.850 * [taylor]: Taking taylor expansion of a2 in a1
11.850 * [backup-simplify]: Simplify a2 into a2
11.850 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.850 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.850 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.850 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.850 * [taylor]: Taking taylor expansion of a1 in a1
11.850 * [backup-simplify]: Simplify 0 into 0
11.850 * [backup-simplify]: Simplify 1 into 1
11.851 * [backup-simplify]: Simplify (* 1 1) into 1
11.851 * [backup-simplify]: Simplify (/ 1 1) into 1
11.851 * [backup-simplify]: Simplify (+ 0 1) into 1
11.851 * [backup-simplify]: Simplify (sqrt 1) into 1
11.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.853 * [backup-simplify]: Simplify (+ 0 0) into 0
11.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.853 * [taylor]: Taking taylor expansion of 1 in a2
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [taylor]: Taking taylor expansion of 0 in a2
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.855 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
11.855 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
11.855 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
11.855 * [taylor]: Taking taylor expansion of 1/2 in a2
11.856 * [backup-simplify]: Simplify 1/2 into 1/2
11.856 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.856 * [taylor]: Taking taylor expansion of a2 in a2
11.856 * [backup-simplify]: Simplify 0 into 0
11.856 * [backup-simplify]: Simplify 1 into 1
11.856 * [backup-simplify]: Simplify (* 1 1) into 1
11.856 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.857 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
11.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.859 * [backup-simplify]: Simplify (+ 0 0) into 0
11.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
11.859 * [taylor]: Taking taylor expansion of 0 in a2
11.859 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.860 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify 0 into 0
11.860 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
11.861 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
11.861 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
11.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.861 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.861 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.861 * [taylor]: Taking taylor expansion of a2 in a2
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [backup-simplify]: Simplify (* 1 1) into 1
11.861 * [backup-simplify]: Simplify (/ 1 1) into 1
11.861 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.861 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.862 * [taylor]: Taking taylor expansion of a1 in a2
11.862 * [backup-simplify]: Simplify a1 into a1
11.862 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.862 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.862 * [backup-simplify]: Simplify (+ 1 0) into 1
11.862 * [backup-simplify]: Simplify (sqrt 1) into 1
11.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.863 * [backup-simplify]: Simplify (+ 0 0) into 0
11.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.864 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.864 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.864 * [taylor]: Taking taylor expansion of a2 in a1
11.864 * [backup-simplify]: Simplify a2 into a2
11.864 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.864 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.864 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.864 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.864 * [taylor]: Taking taylor expansion of a1 in a1
11.864 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify 1 into 1
11.864 * [backup-simplify]: Simplify (* 1 1) into 1
11.865 * [backup-simplify]: Simplify (/ 1 1) into 1
11.865 * [backup-simplify]: Simplify (+ 0 1) into 1
11.865 * [backup-simplify]: Simplify (sqrt 1) into 1
11.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.866 * [backup-simplify]: Simplify (+ 0 0) into 0
11.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.867 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.867 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.867 * [taylor]: Taking taylor expansion of a2 in a1
11.867 * [backup-simplify]: Simplify a2 into a2
11.867 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.867 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.867 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.867 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.867 * [taylor]: Taking taylor expansion of a1 in a1
11.867 * [backup-simplify]: Simplify 0 into 0
11.867 * [backup-simplify]: Simplify 1 into 1
11.867 * [backup-simplify]: Simplify (* 1 1) into 1
11.867 * [backup-simplify]: Simplify (/ 1 1) into 1
11.868 * [backup-simplify]: Simplify (+ 0 1) into 1
11.868 * [backup-simplify]: Simplify (sqrt 1) into 1
11.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.869 * [backup-simplify]: Simplify (+ 0 0) into 0
11.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.870 * [taylor]: Taking taylor expansion of 1 in a2
11.870 * [backup-simplify]: Simplify 1 into 1
11.870 * [taylor]: Taking taylor expansion of 0 in a2
11.870 * [backup-simplify]: Simplify 0 into 0
11.870 * [backup-simplify]: Simplify 1 into 1
11.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.871 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
11.873 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
11.873 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
11.873 * [taylor]: Taking taylor expansion of 1/2 in a2
11.873 * [backup-simplify]: Simplify 1/2 into 1/2
11.873 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.873 * [taylor]: Taking taylor expansion of a2 in a2
11.873 * [backup-simplify]: Simplify 0 into 0
11.873 * [backup-simplify]: Simplify 1 into 1
11.873 * [backup-simplify]: Simplify (* 1 1) into 1
11.874 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.875 * [backup-simplify]: Simplify 0 into 0
11.876 * [backup-simplify]: Simplify 0 into 0
11.876 * [backup-simplify]: Simplify 0 into 0
11.876 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
11.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.878 * [backup-simplify]: Simplify (+ 0 0) into 0
11.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
11.879 * [taylor]: Taking taylor expansion of 0 in a2
11.879 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
11.881 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
11.882 * [backup-simplify]: Simplify (sqrt (+ (* a1 a1) (pow a2 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
11.882 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0
11.882 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
11.882 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
11.882 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.882 * [taylor]: Taking taylor expansion of a2 in a2
11.882 * [backup-simplify]: Simplify 0 into 0
11.882 * [backup-simplify]: Simplify 1 into 1
11.882 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.882 * [taylor]: Taking taylor expansion of a1 in a2
11.882 * [backup-simplify]: Simplify a1 into a1
11.882 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.882 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
11.882 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
11.882 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
11.883 * [backup-simplify]: Simplify (+ 0 0) into 0
11.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
11.883 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
11.883 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.883 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.883 * [taylor]: Taking taylor expansion of a2 in a1
11.883 * [backup-simplify]: Simplify a2 into a2
11.883 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.883 * [taylor]: Taking taylor expansion of a1 in a1
11.883 * [backup-simplify]: Simplify 0 into 0
11.883 * [backup-simplify]: Simplify 1 into 1
11.883 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.883 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.883 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
11.884 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.884 * [backup-simplify]: Simplify (+ 0 0) into 0
11.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
11.884 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
11.884 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.884 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.884 * [taylor]: Taking taylor expansion of a2 in a1
11.884 * [backup-simplify]: Simplify a2 into a2
11.884 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.884 * [taylor]: Taking taylor expansion of a1 in a1
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 1 into 1
11.885 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.885 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.885 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
11.885 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.885 * [backup-simplify]: Simplify (+ 0 0) into 0
11.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
11.886 * [taylor]: Taking taylor expansion of a2 in a2
11.886 * [backup-simplify]: Simplify 0 into 0
11.886 * [backup-simplify]: Simplify 1 into 1
11.886 * [backup-simplify]: Simplify 0 into 0
11.886 * [taylor]: Taking taylor expansion of 0 in a2
11.886 * [backup-simplify]: Simplify 0 into 0
11.886 * [backup-simplify]: Simplify 0 into 0
11.886 * [backup-simplify]: Simplify 1 into 1
11.887 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
11.887 * [backup-simplify]: Simplify (* 1 1) into 1
11.887 * [backup-simplify]: Simplify (+ 0 1) into 1
11.888 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
11.888 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2
11.888 * [taylor]: Taking taylor expansion of 1/2 in a2
11.888 * [backup-simplify]: Simplify 1/2 into 1/2
11.888 * [taylor]: Taking taylor expansion of a2 in a2
11.888 * [backup-simplify]: Simplify 0 into 0
11.888 * [backup-simplify]: Simplify 1 into 1
11.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.891 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
11.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.892 * [backup-simplify]: Simplify (+ 0 0) into 0
11.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 a2))))) (* 2 a2)) into 0
11.892 * [taylor]: Taking taylor expansion of 0 in a2
11.892 * [backup-simplify]: Simplify 0 into 0
11.892 * [backup-simplify]: Simplify 0 into 0
11.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.893 * [backup-simplify]: Simplify 0 into 0
11.893 * [backup-simplify]: Simplify 0 into 0
11.893 * [backup-simplify]: Simplify (* 1 (* a2 1)) into a2
11.894 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
11.894 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
11.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.894 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.894 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.894 * [taylor]: Taking taylor expansion of a2 in a2
11.894 * [backup-simplify]: Simplify 0 into 0
11.894 * [backup-simplify]: Simplify 1 into 1
11.894 * [backup-simplify]: Simplify (* 1 1) into 1
11.895 * [backup-simplify]: Simplify (/ 1 1) into 1
11.895 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.895 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.895 * [taylor]: Taking taylor expansion of a1 in a2
11.895 * [backup-simplify]: Simplify a1 into a1
11.895 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.895 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.895 * [backup-simplify]: Simplify (+ 1 0) into 1
11.896 * [backup-simplify]: Simplify (sqrt 1) into 1
11.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.897 * [backup-simplify]: Simplify (+ 0 0) into 0
11.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.898 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.898 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.898 * [taylor]: Taking taylor expansion of a2 in a1
11.898 * [backup-simplify]: Simplify a2 into a2
11.898 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.898 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.898 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.898 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.898 * [taylor]: Taking taylor expansion of a1 in a1
11.898 * [backup-simplify]: Simplify 0 into 0
11.899 * [backup-simplify]: Simplify 1 into 1
11.899 * [backup-simplify]: Simplify (* 1 1) into 1
11.899 * [backup-simplify]: Simplify (/ 1 1) into 1
11.900 * [backup-simplify]: Simplify (+ 0 1) into 1
11.900 * [backup-simplify]: Simplify (sqrt 1) into 1
11.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.902 * [backup-simplify]: Simplify (+ 0 0) into 0
11.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.902 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.902 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.902 * [taylor]: Taking taylor expansion of a2 in a1
11.902 * [backup-simplify]: Simplify a2 into a2
11.902 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.903 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.903 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.903 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.903 * [taylor]: Taking taylor expansion of a1 in a1
11.903 * [backup-simplify]: Simplify 0 into 0
11.903 * [backup-simplify]: Simplify 1 into 1
11.903 * [backup-simplify]: Simplify (* 1 1) into 1
11.903 * [backup-simplify]: Simplify (/ 1 1) into 1
11.903 * [backup-simplify]: Simplify (+ 0 1) into 1
11.904 * [backup-simplify]: Simplify (sqrt 1) into 1
11.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.905 * [backup-simplify]: Simplify (+ 0 0) into 0
11.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.905 * [taylor]: Taking taylor expansion of 1 in a2
11.905 * [backup-simplify]: Simplify 1 into 1
11.905 * [taylor]: Taking taylor expansion of 0 in a2
11.905 * [backup-simplify]: Simplify 0 into 0
11.905 * [backup-simplify]: Simplify 1 into 1
11.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.906 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
11.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
11.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
11.907 * [taylor]: Taking taylor expansion of 1/2 in a2
11.907 * [backup-simplify]: Simplify 1/2 into 1/2
11.907 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.907 * [taylor]: Taking taylor expansion of a2 in a2
11.907 * [backup-simplify]: Simplify 0 into 0
11.907 * [backup-simplify]: Simplify 1 into 1
11.908 * [backup-simplify]: Simplify (* 1 1) into 1
11.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.909 * [backup-simplify]: Simplify 0 into 0
11.909 * [backup-simplify]: Simplify 0 into 0
11.909 * [backup-simplify]: Simplify 0 into 0
11.909 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
11.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.910 * [backup-simplify]: Simplify (+ 0 0) into 0
11.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
11.911 * [taylor]: Taking taylor expansion of 0 in a2
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.912 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 a1)))) into a1
11.912 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
11.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0
11.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.913 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.913 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.913 * [taylor]: Taking taylor expansion of a2 in a2
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.913 * [backup-simplify]: Simplify (* 1 1) into 1
11.913 * [backup-simplify]: Simplify (/ 1 1) into 1
11.913 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.913 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.913 * [taylor]: Taking taylor expansion of a1 in a2
11.913 * [backup-simplify]: Simplify a1 into a1
11.913 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.913 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.914 * [backup-simplify]: Simplify (+ 1 0) into 1
11.914 * [backup-simplify]: Simplify (sqrt 1) into 1
11.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.915 * [backup-simplify]: Simplify (+ 0 0) into 0
11.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.915 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.915 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.915 * [taylor]: Taking taylor expansion of a2 in a1
11.915 * [backup-simplify]: Simplify a2 into a2
11.916 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.916 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.916 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.916 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.916 * [taylor]: Taking taylor expansion of a1 in a1
11.916 * [backup-simplify]: Simplify 0 into 0
11.916 * [backup-simplify]: Simplify 1 into 1
11.916 * [backup-simplify]: Simplify (* 1 1) into 1
11.916 * [backup-simplify]: Simplify (/ 1 1) into 1
11.916 * [backup-simplify]: Simplify (+ 0 1) into 1
11.917 * [backup-simplify]: Simplify (sqrt 1) into 1
11.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.918 * [backup-simplify]: Simplify (+ 0 0) into 0
11.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
11.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
11.918 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
11.918 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.918 * [taylor]: Taking taylor expansion of a2 in a1
11.918 * [backup-simplify]: Simplify a2 into a2
11.918 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.918 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.918 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
11.918 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.919 * [taylor]: Taking taylor expansion of a1 in a1
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [backup-simplify]: Simplify 1 into 1
11.919 * [backup-simplify]: Simplify (* 1 1) into 1
11.919 * [backup-simplify]: Simplify (/ 1 1) into 1
11.919 * [backup-simplify]: Simplify (+ 0 1) into 1
11.920 * [backup-simplify]: Simplify (sqrt 1) into 1
11.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.921 * [backup-simplify]: Simplify (+ 0 0) into 0
11.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.921 * [taylor]: Taking taylor expansion of 1 in a2
11.921 * [backup-simplify]: Simplify 1 into 1
11.921 * [taylor]: Taking taylor expansion of 0 in a2
11.921 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify 1 into 1
11.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.922 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
11.923 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
11.923 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2
11.923 * [taylor]: Taking taylor expansion of 1/2 in a2
11.923 * [backup-simplify]: Simplify 1/2 into 1/2
11.923 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.923 * [taylor]: Taking taylor expansion of a2 in a2
11.923 * [backup-simplify]: Simplify 0 into 0
11.923 * [backup-simplify]: Simplify 1 into 1
11.924 * [backup-simplify]: Simplify (* 1 1) into 1
11.924 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.925 * [backup-simplify]: Simplify 0 into 0
11.925 * [backup-simplify]: Simplify 0 into 0
11.925 * [backup-simplify]: Simplify 0 into 0
11.925 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
11.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.927 * [backup-simplify]: Simplify (+ 0 0) into 0
11.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
11.927 * [taylor]: Taking taylor expansion of 0 in a2
11.927 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.928 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- a1))))) into (* -1 a1)
11.928 * * * * [progress]: [ 3 / 4 ] generating series at (2)
11.931 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) into (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0))
11.931 * [approximate]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in (a1 a2 th) around 0
11.931 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in th
11.931 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in th
11.931 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
11.931 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.931 * [taylor]: Taking taylor expansion of a2 in th
11.931 * [backup-simplify]: Simplify a2 into a2
11.931 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.931 * [taylor]: Taking taylor expansion of a1 in th
11.931 * [backup-simplify]: Simplify a1 into a1
11.932 * [taylor]: Taking taylor expansion of (cos th) in th
11.932 * [taylor]: Taking taylor expansion of th in th
11.932 * [backup-simplify]: Simplify 0 into 0
11.932 * [backup-simplify]: Simplify 1 into 1
11.932 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.932 * [taylor]: Taking taylor expansion of 2.0 in th
11.932 * [backup-simplify]: Simplify 2.0 into 2.0
11.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.933 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.933 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.933 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
11.933 * [backup-simplify]: Simplify (* (+ (pow a2 2) (pow a1 2)) 1) into (+ (pow a2 2) (pow a1 2))
11.934 * [backup-simplify]: Simplify (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) into (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0))
11.934 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a2
11.934 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a2
11.934 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2
11.934 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.934 * [taylor]: Taking taylor expansion of a2 in a2
11.934 * [backup-simplify]: Simplify 0 into 0
11.934 * [backup-simplify]: Simplify 1 into 1
11.934 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.934 * [taylor]: Taking taylor expansion of a1 in a2
11.934 * [backup-simplify]: Simplify a1 into a1
11.934 * [taylor]: Taking taylor expansion of (cos th) in a2
11.934 * [taylor]: Taking taylor expansion of th in a2
11.934 * [backup-simplify]: Simplify th into th
11.934 * [backup-simplify]: Simplify (cos th) into (cos th)
11.935 * [backup-simplify]: Simplify (sin th) into (sin th)
11.935 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.935 * [taylor]: Taking taylor expansion of 2.0 in a2
11.935 * [backup-simplify]: Simplify 2.0 into 2.0
11.935 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.936 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.936 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
11.936 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.936 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.936 * [backup-simplify]: Simplify (- 0) into 0
11.936 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.937 * [backup-simplify]: Simplify (* (pow a1 2) (cos th)) into (* (pow a1 2) (cos th))
11.937 * [backup-simplify]: Simplify (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) into (/ (* (pow a1 2) (cos th)) (sqrt 2.0))
11.937 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
11.937 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
11.937 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.937 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.937 * [taylor]: Taking taylor expansion of a2 in a1
11.937 * [backup-simplify]: Simplify a2 into a2
11.937 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.937 * [taylor]: Taking taylor expansion of a1 in a1
11.937 * [backup-simplify]: Simplify 0 into 0
11.937 * [backup-simplify]: Simplify 1 into 1
11.938 * [taylor]: Taking taylor expansion of (cos th) in a1
11.938 * [taylor]: Taking taylor expansion of th in a1
11.938 * [backup-simplify]: Simplify th into th
11.938 * [backup-simplify]: Simplify (cos th) into (cos th)
11.938 * [backup-simplify]: Simplify (sin th) into (sin th)
11.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.938 * [taylor]: Taking taylor expansion of 2.0 in a1
11.938 * [backup-simplify]: Simplify 2.0 into 2.0
11.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.944 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.944 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.944 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.945 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.945 * [backup-simplify]: Simplify (- 0) into 0
11.945 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.945 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
11.945 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
11.945 * [taylor]: Taking taylor expansion of (/ (* (+ (pow a2 2) (pow a1 2)) (cos th)) (sqrt 2.0)) in a1
11.945 * [taylor]: Taking taylor expansion of (* (+ (pow a2 2) (pow a1 2)) (cos th)) in a1
11.945 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
11.945 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
11.945 * [taylor]: Taking taylor expansion of a2 in a1
11.945 * [backup-simplify]: Simplify a2 into a2
11.945 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
11.945 * [taylor]: Taking taylor expansion of a1 in a1
11.945 * [backup-simplify]: Simplify 0 into 0
11.945 * [backup-simplify]: Simplify 1 into 1
11.946 * [taylor]: Taking taylor expansion of (cos th) in a1
11.946 * [taylor]: Taking taylor expansion of th in a1
11.946 * [backup-simplify]: Simplify th into th
11.946 * [backup-simplify]: Simplify (cos th) into (cos th)
11.946 * [backup-simplify]: Simplify (sin th) into (sin th)
11.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
11.946 * [taylor]: Taking taylor expansion of 2.0 in a1
11.946 * [backup-simplify]: Simplify 2.0 into 2.0
11.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.946 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.947 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
11.947 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.947 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.947 * [backup-simplify]: Simplify (- 0) into 0
11.947 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.947 * [backup-simplify]: Simplify (* (pow a2 2) (cos th)) into (* (cos th) (pow a2 2))
11.947 * [backup-simplify]: Simplify (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) into (/ (* (cos th) (pow a2 2)) (sqrt 2.0))
11.947 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2
11.947 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2
11.948 * [taylor]: Taking taylor expansion of (cos th) in a2
11.948 * [taylor]: Taking taylor expansion of th in a2
11.948 * [backup-simplify]: Simplify th into th
11.948 * [backup-simplify]: Simplify (cos th) into (cos th)
11.948 * [backup-simplify]: Simplify (sin th) into (sin th)
11.948 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.948 * [taylor]: Taking taylor expansion of a2 in a2
11.948 * [backup-simplify]: Simplify 0 into 0
11.948 * [backup-simplify]: Simplify 1 into 1
11.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.948 * [taylor]: Taking taylor expansion of 2.0 in a2
11.948 * [backup-simplify]: Simplify 2.0 into 2.0
11.948 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.949 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.949 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.949 * [backup-simplify]: Simplify (- 0) into 0
11.949 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.949 * [backup-simplify]: Simplify (* 1 1) into 1
11.949 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.949 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
11.950 * [backup-simplify]: Simplify (+ 0) into 0
11.950 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.951 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
11.951 * [backup-simplify]: Simplify (- 0) into 0
11.952 * [backup-simplify]: Simplify (+ 0 0) into 0
11.952 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
11.952 * [backup-simplify]: Simplify (+ 0 0) into 0
11.952 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (* 0 (cos th))) into 0
11.953 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.953 * [taylor]: Taking taylor expansion of 0 in a2
11.953 * [backup-simplify]: Simplify 0 into 0
11.953 * [taylor]: Taking taylor expansion of 0 in th
11.953 * [backup-simplify]: Simplify 0 into 0
11.953 * [backup-simplify]: Simplify 0 into 0
11.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.954 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
11.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.955 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
11.955 * [backup-simplify]: Simplify (- 0) into 0
11.956 * [backup-simplify]: Simplify (+ 0 0) into 0
11.956 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
11.956 * [backup-simplify]: Simplify (* 1 1) into 1
11.956 * [backup-simplify]: Simplify (+ 0 1) into 1
11.957 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (* 1 (cos th)))) into (cos th)
11.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
11.959 * [backup-simplify]: Simplify (- (/ (cos th) (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos th) (sqrt 2.0))
11.959 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2
11.959 * [taylor]: Taking taylor expansion of (cos th) in a2
11.959 * [taylor]: Taking taylor expansion of th in a2
11.959 * [backup-simplify]: Simplify th into th
11.959 * [backup-simplify]: Simplify (cos th) into (cos th)
11.959 * [backup-simplify]: Simplify (sin th) into (sin th)
11.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.959 * [taylor]: Taking taylor expansion of 2.0 in a2
11.959 * [backup-simplify]: Simplify 2.0 into 2.0
11.959 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.960 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
11.960 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.960 * [backup-simplify]: Simplify (- 0) into 0
11.960 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
11.960 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2.0)) into (/ (cos th) (sqrt 2.0))
11.961 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
11.961 * [taylor]: Taking taylor expansion of (cos th) in th
11.961 * [taylor]: Taking taylor expansion of th in th
11.961 * [backup-simplify]: Simplify 0 into 0
11.961 * [backup-simplify]: Simplify 1 into 1
11.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.961 * [taylor]: Taking taylor expansion of 2.0 in th
11.961 * [backup-simplify]: Simplify 2.0 into 2.0
11.961 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.962 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.962 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.962 * [taylor]: Taking taylor expansion of 0 in th
11.963 * [backup-simplify]: Simplify 0 into 0
11.963 * [backup-simplify]: Simplify 0 into 0
11.963 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th
11.963 * [taylor]: Taking taylor expansion of (cos th) in th
11.963 * [taylor]: Taking taylor expansion of th in th
11.963 * [backup-simplify]: Simplify 0 into 0
11.963 * [backup-simplify]: Simplify 1 into 1
11.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.963 * [taylor]: Taking taylor expansion of 2.0 in th
11.963 * [backup-simplify]: Simplify 2.0 into 2.0
11.963 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.964 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.964 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
11.965 * [backup-simplify]: Simplify 0 into 0
11.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.966 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.967 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.967 * [backup-simplify]: Simplify (- 0) into 0
11.967 * [backup-simplify]: Simplify (+ 0 0) into 0
11.968 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0
11.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.968 * [backup-simplify]: Simplify (+ 0 0) into 0
11.969 * [backup-simplify]: Simplify (+ (* (pow a2 2) 0) (+ (* 0 0) (+ (* 1 0) (* 0 (cos th))))) into 0
11.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
11.973 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.973 * [taylor]: Taking taylor expansion of 0 in a2
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [taylor]: Taking taylor expansion of 0 in th
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [backup-simplify]: Simplify 0 into 0
11.974 * [backup-simplify]: Simplify (+ 0) into 0
11.974 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.975 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
11.976 * [backup-simplify]: Simplify (- 0) into 0
11.976 * [backup-simplify]: Simplify (+ 0 0) into 0
11.978 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.978 * [taylor]: Taking taylor expansion of 0 in th
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [taylor]: Taking taylor expansion of 0 in th
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 0 into 0
11.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.979 * [backup-simplify]: Simplify (+ 0) into 0
11.980 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.981 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
11.981 * [backup-simplify]: Simplify (- 0) into 0
11.982 * [backup-simplify]: Simplify (+ 0 0) into 0
11.982 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
11.984 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos th) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.984 * [taylor]: Taking taylor expansion of 0 in th
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [backup-simplify]: Simplify (+ 0) into 0
11.986 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
11.986 * [backup-simplify]: Simplify 0 into 0
11.988 * [backup-simplify]: Simplify (+ (* (/ 1 (sqrt 2.0)) (pow (* 1 (* a2 1)) 2)) (* (/ 1 (sqrt 2.0)) (pow (* 1 (* 1 a1)) 2))) into (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
11.992 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (cos (/ 1 th))) (cbrt (sqrt 2.0)))) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
11.992 * [approximate]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
11.992 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
11.992 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
11.992 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
11.992 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.992 * [taylor]: Taking taylor expansion of th in th
11.992 * [backup-simplify]: Simplify 0 into 0
11.992 * [backup-simplify]: Simplify 1 into 1
11.992 * [backup-simplify]: Simplify (/ 1 1) into 1
11.993 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
11.993 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
11.993 * [taylor]: Taking taylor expansion of (pow a2 2) in th
11.993 * [taylor]: Taking taylor expansion of a2 in th
11.993 * [backup-simplify]: Simplify a2 into a2
11.993 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
11.993 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
11.993 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
11.993 * [taylor]: Taking taylor expansion of (pow a1 2) in th
11.993 * [taylor]: Taking taylor expansion of a1 in th
11.993 * [backup-simplify]: Simplify a1 into a1
11.993 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.993 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.993 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
11.993 * [taylor]: Taking taylor expansion of 2.0 in th
11.993 * [backup-simplify]: Simplify 2.0 into 2.0
11.994 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.995 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
11.995 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
11.996 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
11.996 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
11.996 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
11.996 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
11.996 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
11.996 * [taylor]: Taking taylor expansion of th in a2
11.996 * [backup-simplify]: Simplify th into th
11.996 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.996 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.996 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
11.996 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
11.996 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
11.996 * [taylor]: Taking taylor expansion of a2 in a2
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (* 1 1) into 1
11.997 * [backup-simplify]: Simplify (/ 1 1) into 1
11.997 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
11.997 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
11.997 * [taylor]: Taking taylor expansion of a1 in a2
11.997 * [backup-simplify]: Simplify a1 into a1
11.997 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
11.998 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
11.998 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
11.998 * [taylor]: Taking taylor expansion of 2.0 in a2
11.998 * [backup-simplify]: Simplify 2.0 into 2.0
11.998 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
11.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
11.999 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
11.999 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
11.999 * [backup-simplify]: Simplify (- 0) into 0
12.000 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.000 * [backup-simplify]: Simplify (+ 1 0) into 1
12.000 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.001 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.001 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
12.001 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.001 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.001 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.001 * [taylor]: Taking taylor expansion of th in a1
12.001 * [backup-simplify]: Simplify th into th
12.001 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.001 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.001 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.001 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.001 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.001 * [taylor]: Taking taylor expansion of a2 in a1
12.001 * [backup-simplify]: Simplify a2 into a2
12.001 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.002 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.002 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.002 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.002 * [taylor]: Taking taylor expansion of a1 in a1
12.002 * [backup-simplify]: Simplify 0 into 0
12.002 * [backup-simplify]: Simplify 1 into 1
12.002 * [backup-simplify]: Simplify (* 1 1) into 1
12.003 * [backup-simplify]: Simplify (/ 1 1) into 1
12.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.003 * [taylor]: Taking taylor expansion of 2.0 in a1
12.003 * [backup-simplify]: Simplify 2.0 into 2.0
12.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.004 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.004 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.005 * [backup-simplify]: Simplify (- 0) into 0
12.005 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.005 * [backup-simplify]: Simplify (+ 0 1) into 1
12.005 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.006 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.006 * [taylor]: Taking taylor expansion of (/ (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
12.006 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.006 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.006 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.006 * [taylor]: Taking taylor expansion of th in a1
12.006 * [backup-simplify]: Simplify th into th
12.006 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.006 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.006 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.006 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.006 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.006 * [taylor]: Taking taylor expansion of a2 in a1
12.006 * [backup-simplify]: Simplify a2 into a2
12.006 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.007 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.007 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.007 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.007 * [taylor]: Taking taylor expansion of a1 in a1
12.007 * [backup-simplify]: Simplify 0 into 0
12.007 * [backup-simplify]: Simplify 1 into 1
12.007 * [backup-simplify]: Simplify (* 1 1) into 1
12.007 * [backup-simplify]: Simplify (/ 1 1) into 1
12.008 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.008 * [taylor]: Taking taylor expansion of 2.0 in a1
12.008 * [backup-simplify]: Simplify 2.0 into 2.0
12.008 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.009 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.009 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.009 * [backup-simplify]: Simplify (- 0) into 0
12.009 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.010 * [backup-simplify]: Simplify (+ 0 1) into 1
12.010 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.010 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.011 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2
12.011 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.011 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.011 * [taylor]: Taking taylor expansion of th in a2
12.011 * [backup-simplify]: Simplify th into th
12.011 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.011 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.011 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.011 * [taylor]: Taking taylor expansion of 2.0 in a2
12.011 * [backup-simplify]: Simplify 2.0 into 2.0
12.011 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.012 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.012 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.013 * [backup-simplify]: Simplify (- 0) into 0
12.013 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.013 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.015 * [backup-simplify]: Simplify (+ 0 0) into 0
12.016 * [backup-simplify]: Simplify (+ 0) into 0
12.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.018 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.018 * [backup-simplify]: Simplify (- 0) into 0
12.018 * [backup-simplify]: Simplify (+ 0 0) into 0
12.019 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.020 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.020 * [taylor]: Taking taylor expansion of 0 in a2
12.020 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.022 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.023 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.026 * [backup-simplify]: Simplify (- 0) into 0
12.027 * [backup-simplify]: Simplify (+ 0 0) into 0
12.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ 1 th)) (pow a2 2))
12.029 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.031 * [backup-simplify]: Simplify (- (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))
12.031 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.031 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.031 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.031 * [taylor]: Taking taylor expansion of th in a2
12.031 * [backup-simplify]: Simplify th into th
12.032 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.032 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.032 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.032 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.032 * [taylor]: Taking taylor expansion of 2.0 in a2
12.032 * [backup-simplify]: Simplify 2.0 into 2.0
12.032 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.033 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.033 * [taylor]: Taking taylor expansion of a2 in a2
12.033 * [backup-simplify]: Simplify 0 into 0
12.033 * [backup-simplify]: Simplify 1 into 1
12.033 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.033 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.034 * [backup-simplify]: Simplify (- 0) into 0
12.034 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.034 * [backup-simplify]: Simplify (* 1 1) into 1
12.035 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.036 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.036 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
12.036 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.036 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.036 * [taylor]: Taking taylor expansion of th in th
12.036 * [backup-simplify]: Simplify 0 into 0
12.036 * [backup-simplify]: Simplify 1 into 1
12.036 * [backup-simplify]: Simplify (/ 1 1) into 1
12.036 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.036 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.036 * [taylor]: Taking taylor expansion of 2.0 in th
12.036 * [backup-simplify]: Simplify 2.0 into 2.0
12.037 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.038 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.039 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.039 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th
12.039 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.039 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.039 * [taylor]: Taking taylor expansion of th in th
12.039 * [backup-simplify]: Simplify 0 into 0
12.039 * [backup-simplify]: Simplify 1 into 1
12.039 * [backup-simplify]: Simplify (/ 1 1) into 1
12.039 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.039 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.039 * [taylor]: Taking taylor expansion of 2.0 in th
12.039 * [backup-simplify]: Simplify 2.0 into 2.0
12.040 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.041 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.042 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2.0)) into (/ (cos (/ 1 th)) (sqrt 2.0))
12.042 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.045 * [backup-simplify]: Simplify (+ 0 0) into 0
12.046 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.049 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.050 * [backup-simplify]: Simplify (- 0) into 0
12.050 * [backup-simplify]: Simplify (+ 0 0) into 0
12.051 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.061 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
12.061 * [taylor]: Taking taylor expansion of 0 in a2
12.061 * [backup-simplify]: Simplify 0 into 0
12.062 * [backup-simplify]: Simplify (+ 0) into 0
12.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.064 * [backup-simplify]: Simplify (- 0) into 0
12.065 * [backup-simplify]: Simplify (+ 0 0) into 0
12.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.066 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
12.068 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.068 * [taylor]: Taking taylor expansion of 0 in th
12.068 * [backup-simplify]: Simplify 0 into 0
12.068 * [backup-simplify]: Simplify 0 into 0
12.068 * [taylor]: Taking taylor expansion of 0 in th
12.068 * [backup-simplify]: Simplify 0 into 0
12.068 * [backup-simplify]: Simplify 0 into 0
12.069 * [backup-simplify]: Simplify (+ 0) into 0
12.069 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.071 * [backup-simplify]: Simplify (- 0) into 0
12.071 * [backup-simplify]: Simplify (+ 0 0) into 0
12.072 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.072 * [taylor]: Taking taylor expansion of 0 in th
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.073 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
12.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.076 * [backup-simplify]: Simplify (+ 0 0) into 0
12.082 * [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
12.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.085 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.085 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
12.085 * [backup-simplify]: Simplify (- 0) into 0
12.086 * [backup-simplify]: Simplify (+ 0 0) into 0
12.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
12.087 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.090 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.090 * [taylor]: Taking taylor expansion of 0 in a2
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.091 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.092 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.092 * [backup-simplify]: Simplify (- 0) into 0
12.092 * [backup-simplify]: Simplify (+ 0 0) into 0
12.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.094 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
12.096 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ 1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.096 * [taylor]: Taking taylor expansion of 0 in th
12.096 * [backup-simplify]: Simplify 0 into 0
12.096 * [backup-simplify]: Simplify 0 into 0
12.097 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 a1)))) 2)) (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 a2)) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
12.100 * [backup-simplify]: Simplify (* (/ (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (cos (/ 1 (- th)))) (cbrt (sqrt 2.0)))) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
12.100 * [approximate]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in (a1 a2 th) around 0
12.100 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in th
12.100 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
12.100 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.100 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.100 * [taylor]: Taking taylor expansion of -1 in th
12.100 * [backup-simplify]: Simplify -1 into -1
12.100 * [taylor]: Taking taylor expansion of th in th
12.100 * [backup-simplify]: Simplify 0 into 0
12.100 * [backup-simplify]: Simplify 1 into 1
12.101 * [backup-simplify]: Simplify (/ -1 1) into -1
12.101 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
12.101 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
12.101 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.101 * [taylor]: Taking taylor expansion of a2 in th
12.101 * [backup-simplify]: Simplify a2 into a2
12.101 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.101 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.101 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
12.101 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.101 * [taylor]: Taking taylor expansion of a1 in th
12.101 * [backup-simplify]: Simplify a1 into a1
12.101 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.101 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.101 * [taylor]: Taking taylor expansion of 2.0 in th
12.101 * [backup-simplify]: Simplify 2.0 into 2.0
12.102 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.103 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
12.103 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
12.104 * [backup-simplify]: Simplify (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) into (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0))
12.104 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a2
12.104 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
12.104 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.104 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.104 * [taylor]: Taking taylor expansion of -1 in a2
12.104 * [backup-simplify]: Simplify -1 into -1
12.104 * [taylor]: Taking taylor expansion of th in a2
12.104 * [backup-simplify]: Simplify th into th
12.104 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.105 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.105 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
12.105 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
12.105 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.105 * [taylor]: Taking taylor expansion of a2 in a2
12.105 * [backup-simplify]: Simplify 0 into 0
12.105 * [backup-simplify]: Simplify 1 into 1
12.105 * [backup-simplify]: Simplify (* 1 1) into 1
12.106 * [backup-simplify]: Simplify (/ 1 1) into 1
12.106 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
12.106 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
12.106 * [taylor]: Taking taylor expansion of a1 in a2
12.106 * [backup-simplify]: Simplify a1 into a1
12.106 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.106 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.106 * [taylor]: Taking taylor expansion of 2.0 in a2
12.106 * [backup-simplify]: Simplify 2.0 into 2.0
12.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.108 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.108 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.108 * [backup-simplify]: Simplify (- 0) into 0
12.109 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.109 * [backup-simplify]: Simplify (+ 1 0) into 1
12.109 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.110 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.110 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
12.110 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.110 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.110 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.110 * [taylor]: Taking taylor expansion of -1 in a1
12.110 * [backup-simplify]: Simplify -1 into -1
12.110 * [taylor]: Taking taylor expansion of th in a1
12.110 * [backup-simplify]: Simplify th into th
12.110 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.110 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.110 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.110 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.110 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.110 * [taylor]: Taking taylor expansion of a2 in a1
12.110 * [backup-simplify]: Simplify a2 into a2
12.110 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.111 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.111 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.111 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.111 * [taylor]: Taking taylor expansion of a1 in a1
12.111 * [backup-simplify]: Simplify 0 into 0
12.111 * [backup-simplify]: Simplify 1 into 1
12.111 * [backup-simplify]: Simplify (* 1 1) into 1
12.111 * [backup-simplify]: Simplify (/ 1 1) into 1
12.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.112 * [taylor]: Taking taylor expansion of 2.0 in a1
12.112 * [backup-simplify]: Simplify 2.0 into 2.0
12.112 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.113 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.113 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.113 * [backup-simplify]: Simplify (- 0) into 0
12.113 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.114 * [backup-simplify]: Simplify (+ 0 1) into 1
12.114 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.114 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.114 * [taylor]: Taking taylor expansion of (/ (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (sqrt 2.0)) in a1
12.114 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.114 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.114 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.114 * [taylor]: Taking taylor expansion of -1 in a1
12.114 * [backup-simplify]: Simplify -1 into -1
12.115 * [taylor]: Taking taylor expansion of th in a1
12.115 * [backup-simplify]: Simplify th into th
12.115 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.115 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.115 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.115 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.115 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.115 * [taylor]: Taking taylor expansion of a2 in a1
12.115 * [backup-simplify]: Simplify a2 into a2
12.115 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.115 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.115 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.115 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.115 * [taylor]: Taking taylor expansion of a1 in a1
12.115 * [backup-simplify]: Simplify 0 into 0
12.115 * [backup-simplify]: Simplify 1 into 1
12.116 * [backup-simplify]: Simplify (* 1 1) into 1
12.116 * [backup-simplify]: Simplify (/ 1 1) into 1
12.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.116 * [taylor]: Taking taylor expansion of 2.0 in a1
12.116 * [backup-simplify]: Simplify 2.0 into 2.0
12.117 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.117 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.118 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.118 * [backup-simplify]: Simplify (- 0) into 0
12.118 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.119 * [backup-simplify]: Simplify (+ 0 1) into 1
12.119 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.119 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.119 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2
12.119 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.119 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.119 * [taylor]: Taking taylor expansion of -1 in a2
12.119 * [backup-simplify]: Simplify -1 into -1
12.119 * [taylor]: Taking taylor expansion of th in a2
12.119 * [backup-simplify]: Simplify th into th
12.120 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.120 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.120 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.120 * [taylor]: Taking taylor expansion of 2.0 in a2
12.120 * [backup-simplify]: Simplify 2.0 into 2.0
12.120 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.121 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.121 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.122 * [backup-simplify]: Simplify (- 0) into 0
12.122 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.122 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.124 * [backup-simplify]: Simplify (+ 0 0) into 0
12.124 * [backup-simplify]: Simplify (+ 0) into 0
12.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.125 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.127 * [backup-simplify]: Simplify (- 0) into 0
12.127 * [backup-simplify]: Simplify (+ 0 0) into 0
12.128 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.129 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.129 * [taylor]: Taking taylor expansion of 0 in a2
12.129 * [backup-simplify]: Simplify 0 into 0
12.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.131 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.133 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.133 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.135 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.135 * [backup-simplify]: Simplify (- 0) into 0
12.136 * [backup-simplify]: Simplify (+ 0 0) into 0
12.137 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (/ (cos (/ -1 th)) (pow a2 2))
12.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.140 * [backup-simplify]: Simplify (- (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))
12.140 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2
12.140 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.140 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.140 * [taylor]: Taking taylor expansion of -1 in a2
12.140 * [backup-simplify]: Simplify -1 into -1
12.140 * [taylor]: Taking taylor expansion of th in a2
12.140 * [backup-simplify]: Simplify th into th
12.140 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.140 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.141 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.141 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2
12.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.141 * [taylor]: Taking taylor expansion of 2.0 in a2
12.141 * [backup-simplify]: Simplify 2.0 into 2.0
12.141 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.142 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.142 * [taylor]: Taking taylor expansion of a2 in a2
12.142 * [backup-simplify]: Simplify 0 into 0
12.142 * [backup-simplify]: Simplify 1 into 1
12.142 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.142 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.143 * [backup-simplify]: Simplify (- 0) into 0
12.143 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.143 * [backup-simplify]: Simplify (* 1 1) into 1
12.144 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
12.145 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.145 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
12.145 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.145 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.145 * [taylor]: Taking taylor expansion of -1 in th
12.145 * [backup-simplify]: Simplify -1 into -1
12.145 * [taylor]: Taking taylor expansion of th in th
12.145 * [backup-simplify]: Simplify 0 into 0
12.145 * [backup-simplify]: Simplify 1 into 1
12.145 * [backup-simplify]: Simplify (/ -1 1) into -1
12.145 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.146 * [taylor]: Taking taylor expansion of 2.0 in th
12.146 * [backup-simplify]: Simplify 2.0 into 2.0
12.146 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.147 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.148 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.148 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th
12.148 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.148 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.148 * [taylor]: Taking taylor expansion of -1 in th
12.148 * [backup-simplify]: Simplify -1 into -1
12.148 * [taylor]: Taking taylor expansion of th in th
12.148 * [backup-simplify]: Simplify 0 into 0
12.148 * [backup-simplify]: Simplify 1 into 1
12.148 * [backup-simplify]: Simplify (/ -1 1) into -1
12.148 * [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
12.149 * [backup-simplify]: Simplify 2.0 into 2.0
12.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.150 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.151 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2.0)) into (/ (cos (/ -1 th)) (sqrt 2.0))
12.151 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.154 * [backup-simplify]: Simplify (+ 0 0) into 0
12.155 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.156 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.156 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.158 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.159 * [backup-simplify]: Simplify (- 0) into 0
12.159 * [backup-simplify]: Simplify (+ 0 0) into 0
12.160 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.165 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))))) into 0
12.165 * [taylor]: Taking taylor expansion of 0 in a2
12.165 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify (+ 0) into 0
12.166 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.167 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.168 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.168 * [backup-simplify]: Simplify (- 0) into 0
12.169 * [backup-simplify]: Simplify (+ 0 0) into 0
12.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.170 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 1)) into 0
12.171 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.171 * [taylor]: Taking taylor expansion of 0 in th
12.171 * [backup-simplify]: Simplify 0 into 0
12.171 * [backup-simplify]: Simplify 0 into 0
12.171 * [taylor]: Taking taylor expansion of 0 in th
12.171 * [backup-simplify]: Simplify 0 into 0
12.171 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify (+ 0) into 0
12.172 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.172 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.173 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.173 * [backup-simplify]: Simplify (- 0) into 0
12.173 * [backup-simplify]: Simplify (+ 0 0) into 0
12.174 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.174 * [taylor]: Taking taylor expansion of 0 in th
12.174 * [backup-simplify]: Simplify 0 into 0
12.174 * [backup-simplify]: Simplify 0 into 0
12.175 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.175 * [backup-simplify]: Simplify 0 into 0
12.176 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.176 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))) (* 0 (/ 0 (pow a2 2))))) into 0
12.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.178 * [backup-simplify]: Simplify (+ 0 0) into 0
12.180 * [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
12.180 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.180 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.181 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
12.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
12.182 * [backup-simplify]: Simplify (- 0) into 0
12.183 * [backup-simplify]: Simplify (+ 0 0) into 0
12.183 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow a2 2))) (+ (* 0 0) (* 0 1))))) into 0
12.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.187 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.187 * [taylor]: Taking taylor expansion of 0 in a2
12.187 * [backup-simplify]: Simplify 0 into 0
12.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.188 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.188 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.189 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.189 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.189 * [backup-simplify]: Simplify (- 0) into 0
12.190 * [backup-simplify]: Simplify (+ 0 0) into 0
12.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.191 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 1))) into 0
12.193 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2.0)) (+ (* (/ (cos (/ -1 th)) (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.193 * [taylor]: Taking taylor expansion of 0 in th
12.193 * [backup-simplify]: Simplify 0 into 0
12.193 * [backup-simplify]: Simplify 0 into 0
12.194 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* 1 (/ 1 (/ 1 (- a1))))) 2)) (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2.0)) (pow (* 1 (* (/ 1 (/ 1 (- a2))) 1)) 2))) into (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
12.194 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
12.195 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)))
12.195 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in (a1 a2 th) around 0
12.195 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in th
12.195 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in th
12.195 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in th
12.195 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in th
12.195 * [taylor]: Taking taylor expansion of 1/3 in th
12.195 * [backup-simplify]: Simplify 1/3 into 1/3
12.195 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in th
12.195 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
12.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.195 * [taylor]: Taking taylor expansion of 2.0 in th
12.195 * [backup-simplify]: Simplify 2.0 into 2.0
12.195 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.196 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.197 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.198 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.200 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.200 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in th
12.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in th
12.200 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th
12.200 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.200 * [taylor]: Taking taylor expansion of a2 in th
12.200 * [backup-simplify]: Simplify a2 into a2
12.200 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.200 * [taylor]: Taking taylor expansion of a1 in th
12.200 * [backup-simplify]: Simplify a1 into a1
12.201 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.201 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.201 * [backup-simplify]: Simplify (+ (pow a2 2) (pow a1 2)) into (+ (pow a2 2) (pow a1 2))
12.201 * [backup-simplify]: Simplify (sqrt (+ (pow a2 2) (pow a1 2))) into (sqrt (+ (pow a2 2) (pow a1 2)))
12.201 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.201 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
12.201 * [backup-simplify]: Simplify (+ 0 0) into 0
12.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow a2 2) (pow a1 2))))) into 0
12.201 * [taylor]: Taking taylor expansion of (cos th) in th
12.202 * [taylor]: Taking taylor expansion of th in th
12.202 * [backup-simplify]: Simplify 0 into 0
12.202 * [backup-simplify]: Simplify 1 into 1
12.202 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in a2
12.202 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.202 * [taylor]: Taking taylor expansion of 1/3 in a2
12.202 * [backup-simplify]: Simplify 1/3 into 1/3
12.202 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.202 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.202 * [taylor]: Taking taylor expansion of 2.0 in a2
12.202 * [backup-simplify]: Simplify 2.0 into 2.0
12.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.204 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.212 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.215 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.218 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.218 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in a2
12.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2
12.218 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) 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 (pow a1 2) in a2
12.218 * [taylor]: Taking taylor expansion of a1 in a2
12.218 * [backup-simplify]: Simplify a1 into a1
12.218 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.219 * [backup-simplify]: Simplify (+ 0 (pow a1 2)) into (pow a1 2)
12.219 * [backup-simplify]: Simplify (sqrt (pow a1 2)) into a1
12.219 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
12.219 * [backup-simplify]: Simplify (+ 0 0) into 0
12.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a1 2)))) into 0
12.220 * [taylor]: Taking taylor expansion of (cos th) in a2
12.220 * [taylor]: Taking taylor expansion of th in a2
12.220 * [backup-simplify]: Simplify th into th
12.220 * [backup-simplify]: Simplify (cos th) into (cos th)
12.220 * [backup-simplify]: Simplify (sin th) into (sin th)
12.220 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in a1
12.220 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a1
12.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a1
12.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a1
12.220 * [taylor]: Taking taylor expansion of 1/3 in a1
12.220 * [backup-simplify]: Simplify 1/3 into 1/3
12.220 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a1
12.220 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
12.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.220 * [taylor]: Taking taylor expansion of 2.0 in a1
12.220 * [backup-simplify]: Simplify 2.0 into 2.0
12.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.222 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.224 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.227 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.231 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.231 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in a1
12.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
12.231 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
12.231 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.231 * [taylor]: Taking taylor expansion of a2 in a1
12.231 * [backup-simplify]: Simplify a2 into a2
12.231 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.231 * [taylor]: Taking taylor expansion of a1 in a1
12.231 * [backup-simplify]: Simplify 0 into 0
12.231 * [backup-simplify]: Simplify 1 into 1
12.231 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.231 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
12.231 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
12.231 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.232 * [backup-simplify]: Simplify (+ 0 0) into 0
12.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
12.232 * [taylor]: Taking taylor expansion of (cos th) in a1
12.232 * [taylor]: Taking taylor expansion of th in a1
12.232 * [backup-simplify]: Simplify th into th
12.232 * [backup-simplify]: Simplify (cos th) into (cos th)
12.232 * [backup-simplify]: Simplify (sin th) into (sin th)
12.232 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th))) in a1
12.232 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a1
12.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a1
12.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a1
12.232 * [taylor]: Taking taylor expansion of 1/3 in a1
12.232 * [backup-simplify]: Simplify 1/3 into 1/3
12.232 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a1
12.233 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
12.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.233 * [taylor]: Taking taylor expansion of 2.0 in a1
12.233 * [backup-simplify]: Simplify 2.0 into 2.0
12.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.235 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.236 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.239 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.242 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.242 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow a2 2) (pow a1 2))) (cos th)) in a1
12.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1
12.242 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1
12.242 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.242 * [taylor]: Taking taylor expansion of a2 in a1
12.242 * [backup-simplify]: Simplify a2 into a2
12.242 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.242 * [taylor]: Taking taylor expansion of a1 in a1
12.242 * [backup-simplify]: Simplify 0 into 0
12.243 * [backup-simplify]: Simplify 1 into 1
12.243 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.243 * [backup-simplify]: Simplify (+ (pow a2 2) 0) into (pow a2 2)
12.243 * [backup-simplify]: Simplify (sqrt (pow a2 2)) into a2
12.243 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.243 * [backup-simplify]: Simplify (+ 0 0) into 0
12.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow a2 2)))) into 0
12.244 * [taylor]: Taking taylor expansion of (cos th) in a1
12.244 * [taylor]: Taking taylor expansion of th in a1
12.244 * [backup-simplify]: Simplify th into th
12.244 * [backup-simplify]: Simplify (cos th) into (cos th)
12.244 * [backup-simplify]: Simplify (sin th) into (sin th)
12.244 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.244 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.245 * [backup-simplify]: Simplify (- 0) into 0
12.245 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.245 * [backup-simplify]: Simplify (* a2 (cos th)) into (* (cos th) a2)
12.247 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos th) a2)) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos th) a2))
12.247 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos th) a2)) in a2
12.247 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.247 * [taylor]: Taking taylor expansion of 1/3 in a2
12.247 * [backup-simplify]: Simplify 1/3 into 1/3
12.247 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.247 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) 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
12.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.249 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.250 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.253 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.256 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.256 * [taylor]: Taking taylor expansion of (* (cos th) a2) in a2
12.256 * [taylor]: Taking taylor expansion of (cos th) in a2
12.256 * [taylor]: Taking taylor expansion of th in a2
12.256 * [backup-simplify]: Simplify th into th
12.256 * [backup-simplify]: Simplify (cos th) into (cos th)
12.256 * [backup-simplify]: Simplify (sin th) into (sin th)
12.257 * [taylor]: Taking taylor expansion of a2 in a2
12.257 * [backup-simplify]: Simplify 0 into 0
12.257 * [backup-simplify]: Simplify 1 into 1
12.257 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.257 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.257 * [backup-simplify]: Simplify (- 0) into 0
12.257 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.257 * [backup-simplify]: Simplify (* (cos th) 0) into 0
12.258 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) into 0
12.258 * [taylor]: Taking taylor expansion of 0 in th
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify 0 into 0
12.259 * [backup-simplify]: Simplify (+ 0) into 0
12.259 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.260 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
12.261 * [backup-simplify]: Simplify (- 0) into 0
12.261 * [backup-simplify]: Simplify (+ 0 0) into 0
12.261 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 (cos th))) into 0
12.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.264 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.265 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.266 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 (* (cos th) a2))) into 0
12.266 * [taylor]: Taking taylor expansion of 0 in a2
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [taylor]: Taking taylor expansion of 0 in th
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify (+ 0) into 0
12.266 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.267 * [backup-simplify]: Simplify (+ (* (sin 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 (+ (* (cos th) 1) (* 0 0)) into (cos th)
12.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.269 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.271 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.273 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos th)) (* 0 0)) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos th))
12.273 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos th)) in th
12.273 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in th
12.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in th
12.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in th
12.273 * [taylor]: Taking taylor expansion of 1/3 in th
12.273 * [backup-simplify]: Simplify 1/3 into 1/3
12.273 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in th
12.273 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
12.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.273 * [taylor]: Taking taylor expansion of 2.0 in th
12.273 * [backup-simplify]: Simplify 2.0 into 2.0
12.273 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.274 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.275 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.276 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.278 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.278 * [taylor]: Taking taylor expansion of (cos th) in th
12.278 * [taylor]: Taking taylor expansion of th in th
12.278 * [backup-simplify]: Simplify 0 into 0
12.278 * [backup-simplify]: Simplify 1 into 1
12.280 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) 1) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.281 * [backup-simplify]: Simplify (pow (/ 1 (sqrt 2.0)) 1/3) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.281 * [backup-simplify]: Simplify 0 into 0
12.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.282 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
12.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.283 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
12.283 * [backup-simplify]: Simplify (- 0) into 0
12.283 * [backup-simplify]: Simplify (+ 0 0) into 0
12.283 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0
12.284 * [backup-simplify]: Simplify (* 1 1) into 1
12.284 * [backup-simplify]: Simplify (+ 0 1) into 1
12.284 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 a2)) into (/ 1/2 a2)
12.285 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* (/ 1/2 a2) (cos th)))) into (* 1/2 (/ (cos th) a2))
12.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 2) into 0
12.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0)))))) into 0
12.291 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.294 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) (* 1/2 (/ (cos th) a2))) (+ (* 0 0) (* 0 (* (cos th) a2)))) into (* 1/2 (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ (cos th) a2)))
12.294 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ (cos th) a2))) in a2
12.294 * [taylor]: Taking taylor expansion of 1/2 in a2
12.294 * [backup-simplify]: Simplify 1/2 into 1/2
12.294 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ (cos th) a2)) in a2
12.294 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.294 * [taylor]: Taking taylor expansion of 1/3 in a2
12.294 * [backup-simplify]: Simplify 1/3 into 1/3
12.294 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.294 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.294 * [taylor]: Taking taylor expansion of 2.0 in a2
12.294 * [backup-simplify]: Simplify 2.0 into 2.0
12.295 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.296 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.298 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.300 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.303 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.304 * [taylor]: Taking taylor expansion of (/ (cos th) a2) in a2
12.304 * [taylor]: Taking taylor expansion of (cos th) in a2
12.304 * [taylor]: Taking taylor expansion of th in a2
12.304 * [backup-simplify]: Simplify th into th
12.304 * [backup-simplify]: Simplify (cos th) into (cos th)
12.304 * [backup-simplify]: Simplify (sin th) into (sin th)
12.304 * [taylor]: Taking taylor expansion of a2 in a2
12.304 * [backup-simplify]: Simplify 0 into 0
12.304 * [backup-simplify]: Simplify 1 into 1
12.304 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th)
12.304 * [backup-simplify]: Simplify (* (sin th) 0) into 0
12.304 * [backup-simplify]: Simplify (- 0) into 0
12.304 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th)
12.305 * [backup-simplify]: Simplify (/ (cos th) 1) into (cos th)
12.305 * [backup-simplify]: Simplify (+ 0) into 0
12.305 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 1)) into 0
12.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.307 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 0)) into 0
12.307 * [backup-simplify]: Simplify (- 0) into 0
12.307 * [backup-simplify]: Simplify (+ 0 0) into 0
12.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos th) (/ 0 1)))) into 0
12.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.315 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.316 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 (cos th))) into 0
12.318 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos th)) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos th))
12.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos th)))) into 0
12.320 * [taylor]: Taking taylor expansion of 0 in th
12.320 * [backup-simplify]: Simplify 0 into 0
12.320 * [backup-simplify]: Simplify 0 into 0
12.320 * [taylor]: Taking taylor expansion of 0 in th
12.320 * [backup-simplify]: Simplify 0 into 0
12.320 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.322 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0
12.322 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.323 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 0))) into 0
12.323 * [backup-simplify]: Simplify (- 0) into 0
12.324 * [backup-simplify]: Simplify (+ 0 0) into 0
12.324 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 1) (* 0 0))) into 0
12.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 2) into 0
12.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0)))))) into 0
12.335 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.336 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (+ (* 0 (cos th)) (* 0 0))) into 0
12.336 * [taylor]: Taking taylor expansion of 0 in th
12.336 * [backup-simplify]: Simplify 0 into 0
12.336 * [backup-simplify]: Simplify 0 into 0
12.336 * [backup-simplify]: Simplify 0 into 0
12.343 * [backup-simplify]: Simplify (+ 0) into 0
12.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.348 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.350 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.351 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 1)) into 0
12.351 * [backup-simplify]: Simplify 0 into 0
12.353 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (* 1 (* a2 1))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) a2)
12.354 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* (/ 1 a1) (/ 1 a1)) (pow (/ 1 a2) 2))) (cos (/ 1 th))) (cbrt (sqrt 2.0))) into (* (cos (/ 1 th)) (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
12.354 * [approximate]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (a1 a2 th) around 0
12.354 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
12.354 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.354 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.355 * [taylor]: Taking taylor expansion of th in th
12.355 * [backup-simplify]: Simplify 0 into 0
12.355 * [backup-simplify]: Simplify 1 into 1
12.355 * [backup-simplify]: Simplify (/ 1 1) into 1
12.355 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.355 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
12.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in th
12.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in th
12.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in th
12.355 * [taylor]: Taking taylor expansion of 1/3 in th
12.355 * [backup-simplify]: Simplify 1/3 into 1/3
12.355 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in th
12.355 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
12.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.355 * [taylor]: Taking taylor expansion of 2.0 in th
12.355 * [backup-simplify]: Simplify 2.0 into 2.0
12.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.357 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.359 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.361 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.364 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
12.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
12.364 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
12.365 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.365 * [taylor]: Taking taylor expansion of a2 in th
12.365 * [backup-simplify]: Simplify a2 into a2
12.365 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.365 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.365 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
12.365 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.365 * [taylor]: Taking taylor expansion of a1 in th
12.365 * [backup-simplify]: Simplify a1 into a1
12.365 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.365 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.365 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
12.366 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
12.366 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.366 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
12.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
12.367 * [backup-simplify]: Simplify (+ 0 0) into 0
12.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
12.367 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
12.368 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.368 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.368 * [taylor]: Taking taylor expansion of th in a2
12.368 * [backup-simplify]: Simplify th into th
12.368 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.368 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.368 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.368 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
12.368 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.368 * [taylor]: Taking taylor expansion of 1/3 in a2
12.368 * [backup-simplify]: Simplify 1/3 into 1/3
12.368 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.368 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.368 * [taylor]: Taking taylor expansion of 2.0 in a2
12.368 * [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))
12.372 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.374 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.377 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
12.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
12.377 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
12.377 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.377 * [taylor]: Taking taylor expansion of a2 in a2
12.377 * [backup-simplify]: Simplify 0 into 0
12.377 * [backup-simplify]: Simplify 1 into 1
12.378 * [backup-simplify]: Simplify (* 1 1) into 1
12.378 * [backup-simplify]: Simplify (/ 1 1) into 1
12.378 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
12.378 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
12.378 * [taylor]: Taking taylor expansion of a1 in a2
12.378 * [backup-simplify]: Simplify a1 into a1
12.378 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.378 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.379 * [backup-simplify]: Simplify (+ 1 0) into 1
12.379 * [backup-simplify]: Simplify (sqrt 1) into 1
12.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.380 * [backup-simplify]: Simplify (+ 0 0) into 0
12.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.380 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
12.380 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.380 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.381 * [taylor]: Taking taylor expansion of th in a1
12.381 * [backup-simplify]: Simplify th into th
12.381 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.381 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.381 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.381 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
12.381 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a1
12.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a1
12.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a1
12.381 * [taylor]: Taking taylor expansion of 1/3 in a1
12.381 * [backup-simplify]: Simplify 1/3 into 1/3
12.381 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a1
12.381 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
12.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.381 * [taylor]: Taking taylor expansion of 2.0 in a1
12.381 * [backup-simplify]: Simplify 2.0 into 2.0
12.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.382 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.383 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.384 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.387 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.387 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.387 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.387 * [taylor]: Taking taylor expansion of a2 in a1
12.387 * [backup-simplify]: Simplify a2 into a2
12.387 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.387 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.387 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.387 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.387 * [taylor]: Taking taylor expansion of a1 in a1
12.387 * [backup-simplify]: Simplify 0 into 0
12.387 * [backup-simplify]: Simplify 1 into 1
12.387 * [backup-simplify]: Simplify (* 1 1) into 1
12.387 * [backup-simplify]: Simplify (/ 1 1) into 1
12.388 * [backup-simplify]: Simplify (+ 0 1) into 1
12.388 * [backup-simplify]: Simplify (sqrt 1) into 1
12.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.389 * [backup-simplify]: Simplify (+ 0 0) into 0
12.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.389 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
12.389 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1
12.389 * [taylor]: Taking taylor expansion of (/ 1 th) in a1
12.389 * [taylor]: Taking taylor expansion of th in a1
12.389 * [backup-simplify]: Simplify th into th
12.389 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.390 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.390 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.390 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
12.390 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a1
12.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a1
12.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a1
12.390 * [taylor]: Taking taylor expansion of 1/3 in a1
12.390 * [backup-simplify]: Simplify 1/3 into 1/3
12.390 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a1
12.390 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
12.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.390 * [taylor]: Taking taylor expansion of 2.0 in a1
12.390 * [backup-simplify]: Simplify 2.0 into 2.0
12.390 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.391 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.392 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.393 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.396 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.396 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.396 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.396 * [taylor]: Taking taylor expansion of a2 in a1
12.396 * [backup-simplify]: Simplify a2 into a2
12.396 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.396 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.396 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.396 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.396 * [taylor]: Taking taylor expansion of a1 in a1
12.396 * [backup-simplify]: Simplify 0 into 0
12.396 * [backup-simplify]: Simplify 1 into 1
12.396 * [backup-simplify]: Simplify (* 1 1) into 1
12.396 * [backup-simplify]: Simplify (/ 1 1) into 1
12.397 * [backup-simplify]: Simplify (+ 0 1) into 1
12.397 * [backup-simplify]: Simplify (sqrt 1) into 1
12.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.398 * [backup-simplify]: Simplify (+ 0 0) into 0
12.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.399 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.399 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.399 * [backup-simplify]: Simplify (- 0) into 0
12.399 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.400 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) 1) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.402 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3))
12.402 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)) in a2
12.402 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.402 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.402 * [taylor]: Taking taylor expansion of th in a2
12.402 * [backup-simplify]: Simplify th into th
12.402 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
12.402 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.402 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
12.402 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.402 * [taylor]: Taking taylor expansion of 1/3 in a2
12.402 * [backup-simplify]: Simplify 1/3 into 1/3
12.402 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.402 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.402 * [taylor]: Taking taylor expansion of 2.0 in a2
12.402 * [backup-simplify]: Simplify 2.0 into 2.0
12.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.403 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.404 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.405 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.407 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.413 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 1)) into 0
12.413 * [backup-simplify]: Simplify (+ 0) into 0
12.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.416 * [backup-simplify]: Simplify (- 0) into 0
12.416 * [backup-simplify]: Simplify (+ 0 0) into 0
12.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (sqrt 2.0)) 1/3))) into 0
12.417 * [taylor]: Taking taylor expansion of 0 in a2
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.417 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.418 * [backup-simplify]: Simplify (- 0) into 0
12.418 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th))
12.420 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3))
12.420 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)) in th
12.420 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th
12.420 * [taylor]: Taking taylor expansion of (/ 1 th) in th
12.420 * [taylor]: Taking taylor expansion of th in th
12.420 * [backup-simplify]: Simplify 0 into 0
12.420 * [backup-simplify]: Simplify 1 into 1
12.420 * [backup-simplify]: Simplify (/ 1 1) into 1
12.420 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
12.420 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in th
12.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in th
12.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in th
12.420 * [taylor]: Taking taylor expansion of 1/3 in th
12.421 * [backup-simplify]: Simplify 1/3 into 1/3
12.421 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in th
12.421 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
12.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.421 * [taylor]: Taking taylor expansion of 2.0 in th
12.421 * [backup-simplify]: Simplify 2.0 into 2.0
12.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.423 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.424 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.427 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.430 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.431 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3))
12.433 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3))
12.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.435 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.437 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
12.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 2) into 0
12.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0)))))) into 0
12.447 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.450 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ 1 (pow a2 2))))
12.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.451 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.453 * [backup-simplify]: Simplify (- 0) into 0
12.454 * [backup-simplify]: Simplify (+ 0 0) into 0
12.457 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) (* 1/2 (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ 1 (pow a2 2))))) (+ (* 0 0) (* 0 (pow (/ 1 (sqrt 2.0)) 1/3)))) into (* 1/2 (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (sqrt 2.0)) 1/3)))
12.457 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (sqrt 2.0)) 1/3))) in a2
12.457 * [taylor]: Taking taylor expansion of 1/2 in a2
12.457 * [backup-simplify]: Simplify 1/2 into 1/2
12.457 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1 th)) (pow a2 2)) (pow (/ 1 (sqrt 2.0)) 1/3)) in a2
12.457 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2
12.457 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2
12.457 * [taylor]: Taking taylor expansion of (/ 1 th) in a2
12.457 * [taylor]: Taking taylor expansion of th in a2
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))
12.458 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.458 * [taylor]: Taking taylor expansion of a2 in a2
12.458 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify 1 into 1
12.458 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.458 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0
12.458 * [backup-simplify]: Simplify (- 0) into 0
12.458 * [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 (/ (cos (/ 1 th)) 1) into (cos (/ 1 th))
12.459 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.459 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.459 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.459 * [taylor]: Taking taylor expansion of 1/3 in a2
12.459 * [backup-simplify]: Simplify 1/3 into 1/3
12.459 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.459 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.459 * [taylor]: Taking taylor expansion of 2.0 in a2
12.459 * [backup-simplify]: Simplify 2.0 into 2.0
12.460 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.461 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.463 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.465 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.475 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.481 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.481 * [backup-simplify]: Simplify (+ 0) into 0
12.482 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.483 * [backup-simplify]: Simplify (+ (* (sin (/ 1 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 (+ (* 1 0) (* 0 1)) into 0
12.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0
12.487 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (sqrt 2.0)) 1/3))) into 0
12.489 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)) into (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3))
12.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3)))) into 0
12.491 * [taylor]: Taking taylor expansion of 0 in th
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [taylor]: Taking taylor expansion of 0 in th
12.491 * [backup-simplify]: Simplify 0 into 0
12.492 * [backup-simplify]: Simplify 0 into 0
12.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.498 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.498 * [backup-simplify]: Simplify (+ 0) into 0
12.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0
12.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
12.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0
12.500 * [backup-simplify]: Simplify (- 0) into 0
12.501 * [backup-simplify]: Simplify (+ 0 0) into 0
12.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (sqrt 2.0)) 1/3))) into 0
12.502 * [taylor]: Taking taylor expansion of 0 in th
12.502 * [backup-simplify]: Simplify 0 into 0
12.502 * [backup-simplify]: Simplify 0 into 0
12.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.508 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.509 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (sqrt 2.0)) 1/3))) into 0
12.509 * [backup-simplify]: Simplify 0 into 0
12.509 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.512 * [backup-simplify]: Simplify (+ 0 0) into 0
12.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
12.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.522 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (sqrt 2.0)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 6) into 0
12.524 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0))))))) into 0
12.527 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.529 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.530 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.533 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.534 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.534 * [backup-simplify]: Simplify (- 0) into 0
12.534 * [backup-simplify]: Simplify (+ 0 0) into 0
12.538 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 (* 1/2 (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ 1 (pow a2 2))))) (+ (* 0 0) (* 0 (pow (/ 1 (sqrt 2.0)) 1/3))))) into 0
12.538 * [taylor]: Taking taylor expansion of 0 in a2
12.538 * [backup-simplify]: Simplify 0 into 0
12.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 2) into 0
12.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0)))))) into 0
12.549 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.552 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.553 * [backup-simplify]: Simplify (- 0) into 0
12.553 * [backup-simplify]: Simplify (+ 0 0) into 0
12.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (sqrt 2.0)) 1/3)))) into 0
12.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (sqrt 2.0)) 1/3))))) into 0
12.560 * [taylor]: Taking taylor expansion of 0 in th
12.560 * [backup-simplify]: Simplify 0 into 0
12.560 * [backup-simplify]: Simplify 0 into 0
12.560 * [taylor]: Taking taylor expansion of 0 in th
12.560 * [backup-simplify]: Simplify 0 into 0
12.560 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify (* (* (cos (/ 1 (/ 1 th))) (pow (/ 1 (sqrt 2.0)) 1/3)) (* 1 (* 1 (/ 1 (/ 1 a1))))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (* a1 (cos th)))
12.564 * [backup-simplify]: Simplify (/ (* (sqrt (+ (* (/ 1 (- a1)) (/ 1 (- a1))) (pow (/ 1 (- a2)) 2))) (cos (/ 1 (- th)))) (cbrt (sqrt 2.0))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))))
12.564 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in (a1 a2 th) around 0
12.564 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in th
12.564 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in th
12.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in th
12.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in th
12.564 * [taylor]: Taking taylor expansion of 1/3 in th
12.564 * [backup-simplify]: Simplify 1/3 into 1/3
12.564 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in th
12.564 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
12.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.564 * [taylor]: Taking taylor expansion of 2.0 in th
12.564 * [backup-simplify]: Simplify 2.0 into 2.0
12.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.566 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.568 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.570 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.573 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.574 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in th
12.574 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.574 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.574 * [taylor]: Taking taylor expansion of -1 in th
12.574 * [backup-simplify]: Simplify -1 into -1
12.574 * [taylor]: Taking taylor expansion of th in th
12.574 * [backup-simplify]: Simplify 0 into 0
12.574 * [backup-simplify]: Simplify 1 into 1
12.574 * [backup-simplify]: Simplify (/ -1 1) into -1
12.574 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th
12.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th
12.574 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th
12.574 * [taylor]: Taking taylor expansion of (pow a2 2) in th
12.574 * [taylor]: Taking taylor expansion of a2 in th
12.575 * [backup-simplify]: Simplify a2 into a2
12.575 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.575 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.575 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th
12.575 * [taylor]: Taking taylor expansion of (pow a1 2) in th
12.575 * [taylor]: Taking taylor expansion of a1 in th
12.575 * [backup-simplify]: Simplify a1 into a1
12.575 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.575 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.575 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) into (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))
12.576 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) into (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))
12.576 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.576 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0
12.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a1 2)) (/ 0 (pow a1 2))))) into 0
12.577 * [backup-simplify]: Simplify (+ 0 0) into 0
12.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) into 0
12.577 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a2
12.577 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.577 * [taylor]: Taking taylor expansion of 1/3 in a2
12.577 * [backup-simplify]: Simplify 1/3 into 1/3
12.577 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.577 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.577 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.578 * [taylor]: Taking taylor expansion of 2.0 in a2
12.578 * [backup-simplify]: Simplify 2.0 into 2.0
12.578 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.580 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.581 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.583 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.587 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.587 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a2
12.587 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.587 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.587 * [taylor]: Taking taylor expansion of -1 in a2
12.587 * [backup-simplify]: Simplify -1 into -1
12.587 * [taylor]: Taking taylor expansion of th in a2
12.587 * [backup-simplify]: Simplify th into th
12.587 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.587 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.587 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2
12.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2
12.587 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2
12.587 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.587 * [taylor]: Taking taylor expansion of a2 in a2
12.587 * [backup-simplify]: Simplify 0 into 0
12.587 * [backup-simplify]: Simplify 1 into 1
12.588 * [backup-simplify]: Simplify (* 1 1) into 1
12.588 * [backup-simplify]: Simplify (/ 1 1) into 1
12.588 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2
12.588 * [taylor]: Taking taylor expansion of (pow a1 2) in a2
12.588 * [taylor]: Taking taylor expansion of a1 in a2
12.588 * [backup-simplify]: Simplify a1 into a1
12.588 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2)
12.589 * [backup-simplify]: Simplify (/ 1 (pow a1 2)) into (/ 1 (pow a1 2))
12.589 * [backup-simplify]: Simplify (+ 1 0) into 1
12.589 * [backup-simplify]: Simplify (sqrt 1) into 1
12.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.591 * [backup-simplify]: Simplify (+ 0 0) into 0
12.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.592 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
12.592 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a1
12.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a1
12.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a1
12.592 * [taylor]: Taking taylor expansion of 1/3 in a1
12.592 * [backup-simplify]: Simplify 1/3 into 1/3
12.592 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a1
12.592 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
12.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.592 * [taylor]: Taking taylor expansion of 2.0 in a1
12.592 * [backup-simplify]: Simplify 2.0 into 2.0
12.592 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.594 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.595 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.598 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.601 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.601 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
12.601 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.601 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.601 * [taylor]: Taking taylor expansion of -1 in a1
12.601 * [backup-simplify]: Simplify -1 into -1
12.601 * [taylor]: Taking taylor expansion of th in a1
12.601 * [backup-simplify]: Simplify th into th
12.601 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.601 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.601 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.601 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.601 * [taylor]: Taking taylor expansion of a2 in a1
12.602 * [backup-simplify]: Simplify a2 into a2
12.602 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.602 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.602 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.602 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.602 * [taylor]: Taking taylor expansion of a1 in a1
12.602 * [backup-simplify]: Simplify 0 into 0
12.602 * [backup-simplify]: Simplify 1 into 1
12.602 * [backup-simplify]: Simplify (* 1 1) into 1
12.603 * [backup-simplify]: Simplify (/ 1 1) into 1
12.603 * [backup-simplify]: Simplify (+ 0 1) into 1
12.604 * [backup-simplify]: Simplify (sqrt 1) into 1
12.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.605 * [backup-simplify]: Simplify (+ 0 0) into 0
12.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.606 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))))) in a1
12.606 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a1
12.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a1
12.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a1
12.606 * [taylor]: Taking taylor expansion of 1/3 in a1
12.606 * [backup-simplify]: Simplify 1/3 into 1/3
12.606 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a1
12.606 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1
12.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1
12.606 * [taylor]: Taking taylor expansion of 2.0 in a1
12.607 * [backup-simplify]: Simplify 2.0 into 2.0
12.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.609 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.610 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.613 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.617 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.617 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))))) in a1
12.617 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1
12.617 * [taylor]: Taking taylor expansion of (/ -1 th) in a1
12.617 * [taylor]: Taking taylor expansion of -1 in a1
12.617 * [backup-simplify]: Simplify -1 into -1
12.617 * [taylor]: Taking taylor expansion of th in a1
12.617 * [backup-simplify]: Simplify th into th
12.617 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.617 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.617 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.617 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1
12.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1
12.617 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1
12.617 * [taylor]: Taking taylor expansion of (pow a2 2) in a1
12.617 * [taylor]: Taking taylor expansion of a2 in a1
12.617 * [backup-simplify]: Simplify a2 into a2
12.617 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2)
12.617 * [backup-simplify]: Simplify (/ 1 (pow a2 2)) into (/ 1 (pow a2 2))
12.618 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1
12.618 * [taylor]: Taking taylor expansion of (pow a1 2) in a1
12.618 * [taylor]: Taking taylor expansion of a1 in a1
12.618 * [backup-simplify]: Simplify 0 into 0
12.618 * [backup-simplify]: Simplify 1 into 1
12.618 * [backup-simplify]: Simplify (* 1 1) into 1
12.618 * [backup-simplify]: Simplify (/ 1 1) into 1
12.619 * [backup-simplify]: Simplify (+ 0 1) into 1
12.619 * [backup-simplify]: Simplify (sqrt 1) into 1
12.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.621 * [backup-simplify]: Simplify (+ 0 0) into 0
12.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.622 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.622 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.623 * [backup-simplify]: Simplify (- 0) into 0
12.623 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.623 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.630 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th)))
12.631 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))) in a2
12.631 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.631 * [taylor]: Taking taylor expansion of 1/3 in a2
12.631 * [backup-simplify]: Simplify 1/3 into 1/3
12.631 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.631 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.631 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.631 * [taylor]: Taking taylor expansion of 2.0 in a2
12.631 * [backup-simplify]: Simplify 2.0 into 2.0
12.631 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.632 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.633 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.635 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.637 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.637 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.637 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.637 * [taylor]: Taking taylor expansion of -1 in a2
12.637 * [backup-simplify]: Simplify -1 into -1
12.637 * [taylor]: Taking taylor expansion of th in a2
12.637 * [backup-simplify]: Simplify th into th
12.637 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.637 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.637 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.637 * [backup-simplify]: Simplify (+ 0) into 0
12.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.638 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.639 * [backup-simplify]: Simplify (- 0) into 0
12.639 * [backup-simplify]: Simplify (+ 0 0) into 0
12.639 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.642 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.643 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.644 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
12.644 * [taylor]: Taking taylor expansion of 0 in a2
12.644 * [backup-simplify]: Simplify 0 into 0
12.644 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.644 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.644 * [backup-simplify]: Simplify (- 0) into 0
12.644 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.645 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th)))
12.645 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))) in th
12.645 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in th
12.645 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in th
12.645 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in th
12.645 * [taylor]: Taking taylor expansion of 1/3 in th
12.645 * [backup-simplify]: Simplify 1/3 into 1/3
12.646 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in th
12.646 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th
12.646 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th
12.646 * [taylor]: Taking taylor expansion of 2.0 in th
12.646 * [backup-simplify]: Simplify 2.0 into 2.0
12.646 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.647 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.648 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.650 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.653 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.653 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th
12.653 * [taylor]: Taking taylor expansion of (/ -1 th) in th
12.653 * [taylor]: Taking taylor expansion of -1 in th
12.653 * [backup-simplify]: Simplify -1 into -1
12.653 * [taylor]: Taking taylor expansion of th in th
12.653 * [backup-simplify]: Simplify 0 into 0
12.653 * [backup-simplify]: Simplify 1 into 1
12.653 * [backup-simplify]: Simplify (/ -1 1) into -1
12.653 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.654 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th)))
12.655 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th)))
12.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.657 * [backup-simplify]: Simplify (+ (/ 1 (pow a2 2)) 0) into (/ 1 (pow a2 2))
12.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow a2 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow a2 2))
12.658 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.659 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.660 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.661 * [backup-simplify]: Simplify (- 0) into 0
12.661 * [backup-simplify]: Simplify (+ 0 0) into 0
12.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ (cos (/ -1 th)) (pow a2 2)))
12.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 2) into 0
12.670 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0)))))) into 0
12.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.676 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) (* 1/2 (/ (cos (/ -1 th)) (pow a2 2)))) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into (* 1/2 (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))))
12.676 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ (cos (/ -1 th)) (pow a2 2)))) in a2
12.676 * [taylor]: Taking taylor expansion of 1/2 in a2
12.676 * [backup-simplify]: Simplify 1/2 into 1/2
12.676 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (sqrt 2.0)) 1/3) (/ (cos (/ -1 th)) (pow a2 2))) in a2
12.676 * [taylor]: Taking taylor expansion of (pow (/ 1 (sqrt 2.0)) 1/3) in a2
12.676 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) in a2
12.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (sqrt 2.0)))) in a2
12.676 * [taylor]: Taking taylor expansion of 1/3 in a2
12.676 * [backup-simplify]: Simplify 1/3 into 1/3
12.676 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt 2.0))) in a2
12.676 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2
12.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2
12.676 * [taylor]: Taking taylor expansion of 2.0 in a2
12.676 * [backup-simplify]: Simplify 2.0 into 2.0
12.677 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
12.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
12.679 * [backup-simplify]: Simplify (/ 1 (sqrt 2.0)) into (/ 1 (sqrt 2.0))
12.680 * [backup-simplify]: Simplify (log (/ 1 (sqrt 2.0))) into (log (/ 1 (sqrt 2.0)))
12.683 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (sqrt 2.0)))) into (* 1/3 (log (/ 1 (sqrt 2.0))))
12.686 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) into (pow (/ 1 (sqrt 2.0)) 1/3)
12.686 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2
12.686 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2
12.686 * [taylor]: Taking taylor expansion of (/ -1 th) in a2
12.686 * [taylor]: Taking taylor expansion of -1 in a2
12.686 * [backup-simplify]: Simplify -1 into -1
12.686 * [taylor]: Taking taylor expansion of th in a2
12.686 * [backup-simplify]: Simplify th into th
12.686 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
12.686 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
12.686 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
12.686 * [taylor]: Taking taylor expansion of (pow a2 2) in a2
12.687 * [taylor]: Taking taylor expansion of a2 in a2
12.687 * [backup-simplify]: Simplify 0 into 0
12.687 * [backup-simplify]: Simplify 1 into 1
12.687 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.687 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0
12.687 * [backup-simplify]: Simplify (- 0) into 0
12.687 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th))
12.688 * [backup-simplify]: Simplify (* 1 1) into 1
12.688 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th))
12.689 * [backup-simplify]: Simplify (+ 0) into 0
12.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.689 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.691 * [backup-simplify]: Simplify (- 0) into 0
12.691 * [backup-simplify]: Simplify (+ 0 0) into 0
12.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0
12.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.696 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.697 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.700 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.701 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
12.703 * [backup-simplify]: Simplify (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))) into (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th)))
12.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th))))) into 0
12.705 * [taylor]: Taking taylor expansion of 0 in th
12.705 * [backup-simplify]: Simplify 0 into 0
12.705 * [backup-simplify]: Simplify 0 into 0
12.705 * [taylor]: Taking taylor expansion of 0 in th
12.705 * [backup-simplify]: Simplify 0 into 0
12.705 * [backup-simplify]: Simplify 0 into 0
12.706 * [backup-simplify]: Simplify (+ 0) into 0
12.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0
12.706 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
12.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.708 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0
12.708 * [backup-simplify]: Simplify (- 0) into 0
12.708 * [backup-simplify]: Simplify (+ 0 0) into 0
12.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.711 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.714 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.716 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
12.716 * [taylor]: Taking taylor expansion of 0 in th
12.716 * [backup-simplify]: Simplify 0 into 0
12.716 * [backup-simplify]: Simplify 0 into 0
12.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))))) into 0
12.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 1) into 0
12.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (sqrt 2.0))))) into 0
12.722 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.723 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (* 0 (cos (/ -1 th)))) into 0
12.723 * [backup-simplify]: Simplify 0 into 0
12.723 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0
12.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a2 2)) (/ 0 (pow a2 2))))) into 0
12.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.726 * [backup-simplify]: Simplify (+ 0 0) into 0
12.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow a2 2)))))) (* 2 1)) into 0
12.727 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.728 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.729 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.729 * [backup-simplify]: Simplify (- 0) into 0
12.730 * [backup-simplify]: Simplify (+ 0 0) into 0
12.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 (/ 1/2 (pow a2 2))) (+ (* 0 0) (* 0 1)))) into 0
12.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
12.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.735 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (sqrt 2.0)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 6) into 0
12.736 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0))))))) into 0
12.738 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.740 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (+ (* 0 (* 1/2 (/ (cos (/ -1 th)) (pow a2 2)))) (+ (* 0 0) (* 0 (cos (/ -1 th)))))) into 0
12.740 * [taylor]: Taking taylor expansion of 0 in a2
12.740 * [backup-simplify]: Simplify 0 into 0
12.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.741 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
12.741 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
12.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.742 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
12.742 * [backup-simplify]: Simplify (- 0) into 0
12.742 * [backup-simplify]: Simplify (+ 0 0) into 0
12.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
12.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 2.0)) (/ 0 (sqrt 2.0))) (* 0 (/ 0 (sqrt 2.0))))) into 0
12.747 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sqrt 2.0)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (sqrt 2.0)) 1)))) 2) into 0
12.748 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (sqrt 2.0)))))) into 0
12.755 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (sqrt 2.0))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.756 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (sqrt 2.0)) 1/3) 0) (+ (* 0 0) (* 0 (cos (/ -1 th))))) into 0
12.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 th)))))) into 0
12.758 * [taylor]: Taking taylor expansion of 0 in th
12.758 * [backup-simplify]: Simplify 0 into 0
12.758 * [backup-simplify]: Simplify 0 into 0
12.758 * [taylor]: Taking taylor expansion of 0 in th
12.758 * [backup-simplify]: Simplify 0 into 0
12.758 * [backup-simplify]: Simplify 0 into 0
12.760 * [backup-simplify]: Simplify (* (* (pow (/ 1 (sqrt 2.0)) 1/3) (cos (/ -1 (/ 1 (- th))))) (* 1 (* 1 (/ 1 (/ 1 (- a1)))))) into (* -1 (* (pow (/ 1 (sqrt 2.0)) 1/3) (* a1 (cos th))))
12.760 * * * [progress]: simplifying candidates
12.764 * [simplify]: Simplifying:
  (log (sqrt (+ (* a1 a1) (pow a2 2))))
  (exp (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (cbrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2))))
  (sqrt (- (* a1 a1) (pow a2 2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (log (sqrt (+ (* a1 a1) (pow a2 2))))
  (exp (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))))
  (cbrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (* (cbrt (+ (* a1 a1) (pow a2 2))) (cbrt (+ (* a1 a1) (pow a2 2)))))
  (sqrt (cbrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt 1)
  (sqrt (+ (* a1 a1) (pow a2 2)))
  (sqrt (+ (pow (* a1 a1) 3) (pow (pow a2 2) 3)))
  (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2)))))
  (sqrt (- (* (* a1 a1) (* a1 a1)) (* (pow a2 2) (pow a2 2))))
  (sqrt (- (* a1 a1) (pow a2 2)))
  (/ 1 2)
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (sqrt (sqrt (+ (* a1 a1) (pow a2 2))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0))))) (- (+ (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (cos th))) (log (cbrt (sqrt 2.0)))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0))))) (- (log (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (log (cbrt (sqrt 2.0)))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (+ (log (cbrt (sqrt 2.0))) (log (cbrt (sqrt 2.0))))) (log (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (- (+ (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (cos th))) (log (cbrt (sqrt 2.0)))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (- (log (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (log (cbrt (sqrt 2.0)))))
  (+ (- (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (log (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (- (+ (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (cos th))) (log (cbrt (sqrt 2.0)))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (- (log (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (log (cbrt (sqrt 2.0)))))
  (+ (log (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (log (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (log (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (exp (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (sqrt 2.0) (sqrt 2.0))) (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (cos th) (cos th)) (cos th))) (sqrt 2.0)))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (sqrt 2.0) (sqrt 2.0))) (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (sqrt 2.0)))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (sqrt 2.0) (sqrt 2.0))) (* (* (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (cos th) (cos th)) (cos th))) (sqrt 2.0)))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (sqrt 2.0)))
  (* (/ (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (cos th) (cos th)) (cos th))) (sqrt 2.0)))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (sqrt 2.0)))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))) (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))))
  (cbrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (* (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (sqrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (sqrt (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0)))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) (cbrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 1))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt 1)))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt (sqrt 2.0)))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) 1)
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (cbrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (sqrt (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (cbrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (sqrt (+ (* a1 a1) (pow a2 2)))) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (* (sqrt (+ (* a1 a1) (pow a2 2))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (- (+ (log (sqrt (+ (* a1 a1) (pow a2 2)))) (log (cos th))) (log (cbrt (sqrt 2.0))))
  (- (log (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (log (cbrt (sqrt 2.0))))
  (log (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (exp (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (+ (* a1 a1) (pow a2 2)))) (sqrt (+ (* a1 a1) (pow a2 2)))) (* (* (cos th) (cos th)) (cos th))) (sqrt 2.0))
  (/ (* (* (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))) (sqrt 2.0))
  (* (cbrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) (cbrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))
  (cbrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (* (* (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (sqrt (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0))))
  (- (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (- (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (cos th) (cbrt (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt 1)))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (cbrt 1))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (pow a2 2))) 1)
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (cbrt (sqrt 2.0)))
  (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 1)))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt 1))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (sqrt (cbrt (sqrt 2.0))))
  (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) 1)
  (/ (cbrt (sqrt 2.0)) (cos th))
  (* (cbrt (sqrt 2.0)) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (pow a2 2) (pow a2 2)) (* (* a1 a1) (pow a2 2))))))
  (* (cbrt (sqrt 2.0)) (sqrt (- (* a1 a1) (pow a2 2))))
  a2
  a1
  (* -1 a1)
  a2
  a1
  (* -1 a1)
  (+ (/ (pow a2 2) (sqrt 2.0)) (/ (pow a1 2) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (+ (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)))
  (* (pow (/ 1 (sqrt 2.0)) 1/3) a2)
  (* (pow (/ 1 (sqrt 2.0)) 1/3) (* a1 (cos th)))
  (* -1 (* (pow (/ 1 (sqrt 2.0)) 1/3) (* a1 (cos th))))
12.771 * * [simplify]: iteration 0: 194 enodes
12.836 * * [simplify]: iteration 1: 564 enodes
13.136 * * [simplify]: iteration 2: 3670 enodes
14.406 * * [simplify]: iteration complete: 5000 enodes
14.407 * * [simplify]: Extracting #0: cost 80 inf + 0
14.411 * * [simplify]: Extracting #1: cost 928 inf + 4
14.421 * * [simplify]: Extracting #2: cost 1610 inf + 19
14.433 * * [simplify]: Extracting #3: cost 1680 inf + 401
14.452 * * [simplify]: Extracting #4: cost 1364 inf + 3579
14.464 * * [simplify]: Extracting #5: cost 434 inf + 22138
14.476 * * [simplify]: Extracting #6: cost 30 inf + 31775
14.488 * * [simplify]: Extracting #7: cost 0 inf + 32515
14.502 * [simplify]: Simplified to:
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (pow (sqrt (+ (* a1 a1) (* a2 a2))) 3)
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  1
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow (* a2 a2) 3) (pow a1 6)))
  (sqrt (+ (pow a1 4) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))
  (sqrt (- (pow a1 4) (pow a2 4)))
  (sqrt (* (+ a1 a2) (- a1 a2)))
  1/2
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (log (sqrt (+ (* a1 a1) (* a2 a2))))
  (exp (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))
  (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (pow (sqrt (+ (* a1 a1) (* a2 a2))) 3)
  (fabs (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (cbrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  1
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (sqrt (+ (pow (* a2 a2) 3) (pow a1 6)))
  (sqrt (+ (pow a1 4) (* (- (* a2 a2) (* a1 a1)) (* a2 a2))))
  (sqrt (- (pow a1 4) (pow a2 4)))
  (sqrt (* (+ a1 a2) (- a1 a2)))
  1/2
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (- (log (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))) (* 2 (log (cbrt (sqrt 2.0)))))
  (exp (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))))
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (* (cbrt (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))) (cbrt (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))))
  (cbrt (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))))
  (/ (pow (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th))) 3) 2.0)
  (sqrt (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))))
  (sqrt (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))))
  (* (+ (* a1 a1) (* a2 a2)) (cos th))
  (sqrt 2.0)
  (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (sqrt (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
  (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2.0)))
  (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2.0)))
  (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2.0)))
  (/ (* (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))) (cbrt (sqrt 2.0)))
  (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (fabs (cbrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))
  (/ (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0))))
  (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cbrt (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (/ (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (sqrt (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2.0))) (/ (cbrt (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))))
  (* (/ (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2.0))) (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
  (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) (/ (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
  (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
  (/ (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (sqrt 2.0)) (cos th)))
  (* (cos th) (/ (+ (* a1 a1) (* a2 a2)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (+ (* a1 a1) (* a2 a2)) (/ (cbrt (sqrt 2.0)) (cos th)))
  (log (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (log (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (exp (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (pow (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) 3) (sqrt 2.0))
  (/ (pow (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) 3) (sqrt 2.0))
  (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))))))
  (cbrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (/ (pow (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)) 3) (sqrt 2.0))
  (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (sqrt (/ (cos th) (/ (cbrt (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))))
  (- (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th)))
  (- (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (fabs (cbrt 2.0))))
  (/ (cos th) (cbrt (sqrt (cbrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (sqrt (sqrt 2.0))))
  (/ (cos th) (cbrt (sqrt (sqrt 2.0))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))
  (/ (cos th) (cbrt (cbrt (sqrt 2.0))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (cbrt (sqrt 2.0))))
  (/ (cos th) (sqrt (cbrt (sqrt 2.0))))
  (sqrt (+ (* a1 a1) (* a2 a2)))
  (/ (cos th) (cbrt (sqrt 2.0)))
  (/ 1 (cbrt (sqrt 2.0)))
  (/ (/ (cbrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (/ (cos th) (cbrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (cbrt (fabs (cbrt 2.0))) (cos th)))
  (* (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (* (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (+ (* a1 a1) (* a2 a2))))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (* (/ (cos th) (cbrt (cbrt (sqrt 2.0)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (cbrt (cbrt (sqrt 2.0)))))
  (/ (sqrt (+ (* a1 a1) (* a2 a2))) (/ (sqrt (cbrt (sqrt 2.0))) (cos th)))
  (* (sqrt (+ (* a1 a1) (* a2 a2))) (cos th))
  (/ (cbrt (sqrt 2.0)) (cos th))
  (* (sqrt (+ (pow a1 4) (* (- (* a2 a2) (* a1 a1)) (* a2 a2)))) (cbrt (sqrt 2.0)))
  (* (cbrt (sqrt 2.0)) (sqrt (* (+ a1 a2) (- a1 a2))))
  a2
  a1
  (- a1)
  a2
  a1
  (- a1)
  (+ (/ (* a2 a2) (sqrt 2.0)) (/ (* a1 a1) (sqrt 2.0)))
  (+ (* (/ (* a1 a1) (sqrt 2.0)) (cos th)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0)))
  (+ (* (/ (* a1 a1) (sqrt 2.0)) (cos th)) (/ (* (cos th) (* a2 a2)) (sqrt 2.0)))
  (* (cbrt (/ 1 (sqrt 2.0))) a2)
  (* (* (cbrt (/ 1 (sqrt 2.0))) (cos th)) a1)
  (* (* (cos th) a1) (- (cbrt (/ 1 (sqrt 2.0)))))
14.503 * * * [progress]: adding candidates to table
15.520 * [progress]: [Phase 3 of 3] Extracting.
15.520 * * [regime]: Finding splitpoints for: (#<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))))>)
15.523 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1)
15.524 * * * * [regimes]: Trying to branch on (* a2 a2) from (#<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))))>)
15.619 * * * * [regimes]: Trying to branch on (* a1 a1) from (#<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))))>)
15.710 * * * * [regimes]: Trying to branch on (cos th) from (#<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))))>)
15.783 * * * * [regimes]: Trying to branch on th from (#<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))))>)
15.897 * * * * [regimes]: Trying to branch on a2 from (#<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))))>)
15.978 * * * * [regimes]: Trying to branch on a1 from (#<alt (λ (a1 a2 th) (/ 1 (/ (/ (sqrt 2.0) (cos th)) (+ (* a1 a1) (pow a2 2)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th))))> #<alt (λ (a1 a2 th) (* (sqrt (+ (* a1 a1) (pow a2 2))) (* (/ (sqrt (+ (* a2 a2) (* a1 a1))) (sqrt 2.0)) (cos th))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)) (cbrt (sqrt 2.0)))))> #<alt (λ (a1 a2 th) (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt (sqrt 2.0))) (/ 1 (/ (/ (sqrt (sqrt 2.0)) (cos th)) (sqrt (+ (* a2 a2) (* a1 a1)))))))> #<alt (λ (a1 a2 th) (* (/ (sqrt 1) (sqrt (sqrt 2.0))) (* (/ (+ (* a2 a2) (* a1 a1)) (sqrt (sqrt 2.0))) (cos th))))>)
16.089 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
16.089 * [simplify]: Simplifying:
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (sqrt (+ (* a1 a1) (pow a2 2))) (cos th)))
16.090 * * [simplify]: iteration 0: 14 enodes
16.091 * * [simplify]: iteration 1: 17 enodes
16.093 * * [simplify]: iteration complete: 17 enodes
16.093 * * [simplify]: Extracting #0: cost 1 inf + 0
16.093 * * [simplify]: Extracting #1: cost 3 inf + 0
16.093 * * [simplify]: Extracting #2: cost 6 inf + 0
16.093 * * [simplify]: Extracting #3: cost 9 inf + 0
16.093 * * [simplify]: Extracting #4: cost 7 inf + 6
16.093 * * [simplify]: Extracting #5: cost 10 inf + 6
16.093 * * [simplify]: Extracting #6: cost 7 inf + 9
16.093 * * [simplify]: Extracting #7: cost 4 inf + 22
16.093 * * [simplify]: Extracting #8: cost 0 inf + 75
16.093 * [simplify]: Simplified to:
  (* (/ (sqrt (+ (* a1 a1) (pow a2 2))) (sqrt 2.0)) (* (cos th) (sqrt (+ (* a1 a1) (pow a2 2)))))
23.847 * [regime-testing]: Baseline error score: 0.4726949915801085
23.849 * [regime-testing]: Oracle error score: 0.053756719589948744
23.856 * [regime-testing]: End program error score: 0.4726949915801085