1.258 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.360 * * * [progress]: [2/2] Setting up program.
0.372 * [progress]: [Phase 2 of 3] Improving.
0.374 * [simplify]: Simplifying:
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
0.375 * * [simplify]: iteration 0: 13 enodes
0.416 * * [simplify]: iteration 1: 23 enodes
0.424 * * [simplify]: iteration 2: 39 enodes
0.434 * * [simplify]: iteration 3: 66 enodes
0.452 * * [simplify]: iteration 4: 132 enodes
0.590 * * [simplify]: iteration 5: 304 enodes
0.901 * * [simplify]: iteration 6: 1182 enodes
3.293 * * [simplify]: iteration 7: 4952 enodes
5.013 * * [simplify]: iteration complete: 5000 enodes
5.014 * * [simplify]: Extracting #0: cost 1 inf + 0
5.014 * * [simplify]: Extracting #1: cost 7 inf + 0
5.014 * * [simplify]: Extracting #2: cost 12 inf + 0
5.015 * * [simplify]: Extracting #3: cost 66 inf + 63
5.016 * * [simplify]: Extracting #4: cost 312 inf + 126
5.019 * * [simplify]: Extracting #5: cost 734 inf + 1719
5.034 * * [simplify]: Extracting #6: cost 421 inf + 68231
5.113 * * [simplify]: Extracting #7: cost 105 inf + 286089
5.187 * * [simplify]: Extracting #8: cost 2 inf + 377865
5.236 * * [simplify]: Extracting #9: cost 0 inf + 378590
5.291 * [simplify]: Simplified to:
  (/ (* (sin th) (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
5.293 * * [progress]: iteration 1 / 4
5.293 * * * [progress]: picking best candidate
5.299 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))>
5.299 * * * [progress]: localizing error
5.333 * * * [progress]: generating rewritten candidates
5.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
5.369 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2)
5.375 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1)
5.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.482 * * * [progress]: generating series expansions
5.482 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
5.491 * [backup-simplify]: Simplify (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
5.491 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in (kx ky) around 0
5.492 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
5.492 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
5.492 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
5.492 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.492 * [taylor]: Taking taylor expansion of ky in ky
5.492 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify 1 into 1
5.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.495 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
5.495 * [taylor]: Taking taylor expansion of (sin kx) in ky
5.495 * [taylor]: Taking taylor expansion of kx in ky
5.495 * [backup-simplify]: Simplify kx into kx
5.495 * [backup-simplify]: Simplify (sin kx) into (sin kx)
5.495 * [backup-simplify]: Simplify (cos kx) into (cos kx)
5.496 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
5.496 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
5.496 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
5.497 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
5.497 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
5.497 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
5.498 * [backup-simplify]: Simplify (+ 0) into 0
5.499 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
5.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.501 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
5.501 * [backup-simplify]: Simplify (+ 0 0) into 0
5.501 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
5.501 * [backup-simplify]: Simplify (+ 0 0) into 0
5.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
5.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
5.502 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
5.502 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
5.502 * [taylor]: Taking taylor expansion of (sin ky) in kx
5.502 * [taylor]: Taking taylor expansion of ky in kx
5.502 * [backup-simplify]: Simplify ky into ky
5.502 * [backup-simplify]: Simplify (sin ky) into (sin ky)
5.502 * [backup-simplify]: Simplify (cos ky) into (cos ky)
5.502 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
5.502 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
5.502 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
5.502 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
5.502 * [taylor]: Taking taylor expansion of (sin kx) in kx
5.502 * [taylor]: Taking taylor expansion of kx in kx
5.502 * [backup-simplify]: Simplify 0 into 0
5.502 * [backup-simplify]: Simplify 1 into 1
5.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.503 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
5.504 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
5.504 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
5.504 * [backup-simplify]: Simplify (+ 0) into 0
5.505 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
5.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.506 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
5.506 * [backup-simplify]: Simplify (+ 0 0) into 0
5.506 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
5.507 * [backup-simplify]: Simplify (+ 0 0) into 0
5.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
5.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
5.507 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
5.507 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
5.507 * [taylor]: Taking taylor expansion of (sin ky) in kx
5.507 * [taylor]: Taking taylor expansion of ky in kx
5.507 * [backup-simplify]: Simplify ky into ky
5.507 * [backup-simplify]: Simplify (sin ky) into (sin ky)
5.507 * [backup-simplify]: Simplify (cos ky) into (cos ky)
5.508 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
5.508 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
5.508 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
5.508 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
5.508 * [taylor]: Taking taylor expansion of (sin kx) in kx
5.508 * [taylor]: Taking taylor expansion of kx in kx
5.508 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify 1 into 1
5.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.509 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
5.509 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
5.509 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
5.510 * [backup-simplify]: Simplify (+ 0) into 0
5.510 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
5.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.511 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
5.512 * [backup-simplify]: Simplify (+ 0 0) into 0
5.512 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
5.512 * [backup-simplify]: Simplify (+ 0 0) into 0
5.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
5.513 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.513 * [taylor]: Taking taylor expansion of ky in ky
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify 1 into 1
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [taylor]: Taking taylor expansion of 0 in ky
5.514 * [backup-simplify]: Simplify 0 into 0
5.514 * [backup-simplify]: Simplify 0 into 0
5.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.514 * [backup-simplify]: Simplify 1 into 1
5.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.517 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
5.518 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.518 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
5.519 * [backup-simplify]: Simplify (+ 0 0) into 0
5.519 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
5.519 * [backup-simplify]: Simplify (* 1 1) into 1
5.520 * [backup-simplify]: Simplify (+ 0 1) into 1
5.521 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
5.521 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky
5.521 * [taylor]: Taking taylor expansion of 1/2 in ky
5.521 * [backup-simplify]: Simplify 1/2 into 1/2
5.521 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.521 * [taylor]: Taking taylor expansion of ky in ky
5.521 * [backup-simplify]: Simplify 0 into 0
5.521 * [backup-simplify]: Simplify 1 into 1
5.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.522 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.523 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 0 into 0
5.525 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.525 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.528 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.530 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.531 * [backup-simplify]: Simplify (+ 0 0) into 0
5.532 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0
5.533 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.534 * [backup-simplify]: Simplify (+ 0 0) into 0
5.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0
5.534 * [taylor]: Taking taylor expansion of 0 in ky
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
5.537 * [backup-simplify]: Simplify 1/12 into 1/12
5.537 * [backup-simplify]: Simplify 0 into 0
5.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.539 * [backup-simplify]: Simplify -1/6 into -1/6
5.540 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* ky 1) 3)) (+ (* 1/12 (* ky (pow kx 2))) (* 1 (* ky 1)))) into (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
5.541 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2.0) (pow (sin (/ 1 ky)) 2.0))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
5.541 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in (kx ky) around 0
5.541 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
5.541 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
5.541 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
5.541 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
5.541 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
5.541 * [taylor]: Taking taylor expansion of kx in ky
5.541 * [backup-simplify]: Simplify kx into kx
5.541 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
5.541 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
5.541 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
5.541 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
5.541 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
5.542 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
5.542 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
5.542 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
5.542 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
5.542 * [taylor]: Taking taylor expansion of ky in ky
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 1 into 1
5.542 * [backup-simplify]: Simplify (/ 1 1) into 1
5.542 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
5.543 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
5.543 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
5.543 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
5.544 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
5.544 * [backup-simplify]: Simplify (+ 0) into 0
5.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
5.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
5.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
5.547 * [backup-simplify]: Simplify (+ 0 0) into 0
5.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
5.547 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
5.548 * [backup-simplify]: Simplify (+ 0 0) into 0
5.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
5.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
5.548 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
5.548 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
5.548 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
5.548 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
5.548 * [taylor]: Taking taylor expansion of kx in kx
5.548 * [backup-simplify]: Simplify 0 into 0
5.548 * [backup-simplify]: Simplify 1 into 1
5.549 * [backup-simplify]: Simplify (/ 1 1) into 1
5.549 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
5.549 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
5.549 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
5.549 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
5.549 * [taylor]: Taking taylor expansion of ky in kx
5.549 * [backup-simplify]: Simplify ky into ky
5.549 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
5.549 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
5.549 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
5.549 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
5.549 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
5.550 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
5.550 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
5.550 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
5.550 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
5.551 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
5.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
5.551 * [backup-simplify]: Simplify (+ 0) into 0
5.552 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
5.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
5.553 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
5.554 * [backup-simplify]: Simplify (+ 0 0) into 0
5.554 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
5.555 * [backup-simplify]: Simplify (+ 0 0) into 0
5.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
5.555 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
5.555 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
5.555 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
5.555 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
5.555 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
5.555 * [taylor]: Taking taylor expansion of kx in kx
5.555 * [backup-simplify]: Simplify 0 into 0
5.555 * [backup-simplify]: Simplify 1 into 1
5.556 * [backup-simplify]: Simplify (/ 1 1) into 1
5.556 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
5.556 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
5.556 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
5.556 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
5.556 * [taylor]: Taking taylor expansion of ky in kx
5.556 * [backup-simplify]: Simplify ky into ky
5.556 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
5.556 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
5.556 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
5.556 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
5.557 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
5.557 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
5.557 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
5.557 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
5.558 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
5.558 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
5.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
5.559 * [backup-simplify]: Simplify (+ 0) into 0
5.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
5.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
5.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.561 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
5.561 * [backup-simplify]: Simplify (+ 0 0) into 0
5.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
5.562 * [backup-simplify]: Simplify (+ 0 0) into 0
5.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
5.563 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
5.563 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
5.563 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
5.563 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
5.563 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
5.563 * [taylor]: Taking taylor expansion of kx in ky
5.563 * [backup-simplify]: Simplify kx into kx
5.563 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
5.563 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
5.563 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
5.563 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
5.563 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
5.563 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
5.563 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
5.563 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
5.563 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
5.563 * [taylor]: Taking taylor expansion of ky in ky
5.563 * [backup-simplify]: Simplify 0 into 0
5.564 * [backup-simplify]: Simplify 1 into 1
5.564 * [backup-simplify]: Simplify (/ 1 1) into 1
5.564 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
5.564 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
5.564 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
5.565 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
5.565 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
5.566 * [backup-simplify]: Simplify (+ 0) into 0
5.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
5.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
5.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
5.568 * [backup-simplify]: Simplify (+ 0 0) into 0
5.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
5.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
5.569 * [backup-simplify]: Simplify (+ 0 0) into 0
5.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
5.570 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
5.570 * [taylor]: Taking taylor expansion of 0 in ky
5.570 * [backup-simplify]: Simplify 0 into 0
5.570 * [backup-simplify]: Simplify 0 into 0
5.570 * [backup-simplify]: Simplify 0 into 0
5.571 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
5.572 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.572 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
5.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
5.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.574 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
5.574 * [backup-simplify]: Simplify (+ 0 0) into 0
5.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
5.575 * [backup-simplify]: Simplify (+ 0 0) into 0
5.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
5.576 * [taylor]: Taking taylor expansion of 0 in ky
5.576 * [backup-simplify]: Simplify 0 into 0
5.576 * [backup-simplify]: Simplify 0 into 0
5.576 * [backup-simplify]: Simplify 0 into 0
5.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.578 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
5.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
5.579 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
5.580 * [backup-simplify]: Simplify (+ 0 0) into 0
5.581 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
5.581 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
5.582 * [backup-simplify]: Simplify (+ 0 0) into 0
5.583 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
5.583 * [backup-simplify]: Simplify 0 into 0
5.584 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
5.585 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
5.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.589 * [backup-simplify]: Simplify (+ 0 0) into 0
5.590 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
5.591 * [backup-simplify]: Simplify (+ 0 0) into 0
5.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
5.592 * [taylor]: Taking taylor expansion of 0 in ky
5.592 * [backup-simplify]: Simplify 0 into 0
5.592 * [backup-simplify]: Simplify 0 into 0
5.593 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
5.593 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 (- kx))) 2.0) (pow (sin (/ 1 (- ky))) 2.0))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
5.593 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in (kx ky) around 0
5.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
5.593 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
5.593 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
5.593 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
5.593 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
5.593 * [taylor]: Taking taylor expansion of -1 in ky
5.593 * [backup-simplify]: Simplify -1 into -1
5.593 * [taylor]: Taking taylor expansion of kx in ky
5.593 * [backup-simplify]: Simplify kx into kx
5.593 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
5.594 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
5.594 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
5.594 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
5.594 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
5.594 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
5.594 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
5.594 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
5.594 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
5.594 * [taylor]: Taking taylor expansion of -1 in ky
5.594 * [backup-simplify]: Simplify -1 into -1
5.594 * [taylor]: Taking taylor expansion of ky in ky
5.594 * [backup-simplify]: Simplify 0 into 0
5.594 * [backup-simplify]: Simplify 1 into 1
5.595 * [backup-simplify]: Simplify (/ -1 1) into -1
5.595 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
5.595 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
5.595 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
5.596 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
5.596 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
5.597 * [backup-simplify]: Simplify (+ 0) into 0
5.597 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
5.597 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
5.598 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
5.599 * [backup-simplify]: Simplify (+ 0 0) into 0
5.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
5.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
5.600 * [backup-simplify]: Simplify (+ 0 0) into 0
5.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
5.600 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
5.600 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
5.600 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
5.600 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
5.600 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
5.601 * [taylor]: Taking taylor expansion of -1 in kx
5.601 * [backup-simplify]: Simplify -1 into -1
5.601 * [taylor]: Taking taylor expansion of kx in kx
5.601 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify 1 into 1
5.601 * [backup-simplify]: Simplify (/ -1 1) into -1
5.601 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
5.601 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
5.601 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
5.601 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
5.601 * [taylor]: Taking taylor expansion of -1 in kx
5.601 * [backup-simplify]: Simplify -1 into -1
5.601 * [taylor]: Taking taylor expansion of ky in kx
5.601 * [backup-simplify]: Simplify ky into ky
5.601 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
5.602 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
5.602 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
5.602 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
5.602 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
5.602 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
5.602 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
5.602 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
5.603 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
5.603 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
5.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
5.604 * [backup-simplify]: Simplify (+ 0) into 0
5.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
5.605 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
5.605 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
5.606 * [backup-simplify]: Simplify (+ 0 0) into 0
5.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
5.607 * [backup-simplify]: Simplify (+ 0 0) into 0
5.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
5.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
5.607 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
5.608 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
5.608 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
5.608 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
5.608 * [taylor]: Taking taylor expansion of -1 in kx
5.608 * [backup-simplify]: Simplify -1 into -1
5.608 * [taylor]: Taking taylor expansion of kx in kx
5.608 * [backup-simplify]: Simplify 0 into 0
5.608 * [backup-simplify]: Simplify 1 into 1
5.608 * [backup-simplify]: Simplify (/ -1 1) into -1
5.608 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
5.608 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
5.608 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
5.608 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
5.608 * [taylor]: Taking taylor expansion of -1 in kx
5.608 * [backup-simplify]: Simplify -1 into -1
5.608 * [taylor]: Taking taylor expansion of ky in kx
5.608 * [backup-simplify]: Simplify ky into ky
5.609 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
5.609 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
5.609 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
5.609 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
5.609 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
5.609 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
5.609 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
5.609 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
5.610 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
5.610 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
5.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
5.611 * [backup-simplify]: Simplify (+ 0) into 0
5.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
5.612 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
5.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.613 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
5.614 * [backup-simplify]: Simplify (+ 0 0) into 0
5.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
5.621 * [backup-simplify]: Simplify (+ 0 0) into 0
5.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
5.622 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
5.622 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
5.622 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
5.622 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
5.622 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
5.622 * [taylor]: Taking taylor expansion of -1 in ky
5.622 * [backup-simplify]: Simplify -1 into -1
5.622 * [taylor]: Taking taylor expansion of kx in ky
5.622 * [backup-simplify]: Simplify kx into kx
5.622 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
5.622 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
5.622 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
5.622 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
5.622 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
5.623 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
5.623 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
5.623 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
5.623 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
5.623 * [taylor]: Taking taylor expansion of -1 in ky
5.623 * [backup-simplify]: Simplify -1 into -1
5.623 * [taylor]: Taking taylor expansion of ky in ky
5.623 * [backup-simplify]: Simplify 0 into 0
5.623 * [backup-simplify]: Simplify 1 into 1
5.623 * [backup-simplify]: Simplify (/ -1 1) into -1
5.624 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
5.624 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
5.624 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
5.624 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
5.625 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
5.626 * [backup-simplify]: Simplify (+ 0) into 0
5.626 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
5.626 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
5.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.628 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
5.628 * [backup-simplify]: Simplify (+ 0 0) into 0
5.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
5.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
5.629 * [backup-simplify]: Simplify (+ 0 0) into 0
5.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
5.630 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
5.630 * [taylor]: Taking taylor expansion of 0 in ky
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 0 into 0
5.631 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
5.632 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
5.633 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
5.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
5.634 * [backup-simplify]: Simplify (+ 0 0) into 0
5.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
5.635 * [backup-simplify]: Simplify (+ 0 0) into 0
5.636 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
5.636 * [taylor]: Taking taylor expansion of 0 in ky
5.636 * [backup-simplify]: Simplify 0 into 0
5.636 * [backup-simplify]: Simplify 0 into 0
5.637 * [backup-simplify]: Simplify 0 into 0
5.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
5.639 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
5.639 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
5.640 * [backup-simplify]: Simplify (+ 0 0) into 0
5.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
5.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
5.642 * [backup-simplify]: Simplify (+ 0 0) into 0
5.643 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
5.643 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
5.645 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.646 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
5.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.648 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.649 * [backup-simplify]: Simplify (+ 0 0) into 0
5.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
5.650 * [backup-simplify]: Simplify (+ 0 0) into 0
5.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
5.651 * [taylor]: Taking taylor expansion of 0 in ky
5.651 * [backup-simplify]: Simplify 0 into 0
5.651 * [backup-simplify]: Simplify 0 into 0
5.652 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
5.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2)
5.652 * [backup-simplify]: Simplify (pow (sin ky) 2.0) into (pow (sin ky) 2.0)
5.652 * [approximate]: Taking taylor expansion of (pow (sin ky) 2.0) in (ky) around 0
5.652 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky
5.652 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky
5.652 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky
5.652 * [taylor]: Taking taylor expansion of 2.0 in ky
5.652 * [backup-simplify]: Simplify 2.0 into 2.0
5.652 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
5.652 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.652 * [taylor]: Taking taylor expansion of ky in ky
5.652 * [backup-simplify]: Simplify 0 into 0
5.652 * [backup-simplify]: Simplify 1 into 1
5.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.654 * [backup-simplify]: Simplify (log 1) into 0
5.654 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
5.654 * [backup-simplify]: Simplify (* 2.0 (log ky)) into (* 2.0 (log ky))
5.655 * [backup-simplify]: Simplify (exp (* 2.0 (log ky))) into (pow ky 2.0)
5.655 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky
5.655 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky
5.655 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky
5.655 * [taylor]: Taking taylor expansion of 2.0 in ky
5.655 * [backup-simplify]: Simplify 2.0 into 2.0
5.655 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky
5.655 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.655 * [taylor]: Taking taylor expansion of ky in ky
5.655 * [backup-simplify]: Simplify 0 into 0
5.655 * [backup-simplify]: Simplify 1 into 1
5.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.656 * [backup-simplify]: Simplify (log 1) into 0
5.656 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
5.656 * [backup-simplify]: Simplify (* 2.0 (log ky)) into (* 2.0 (log ky))
5.657 * [backup-simplify]: Simplify (exp (* 2.0 (log ky))) into (pow ky 2.0)
5.657 * [backup-simplify]: Simplify (pow ky 2.0) into (pow ky 2.0)
5.658 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.660 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
5.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log ky))) into 0
5.662 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 1) 1)))) into 0
5.662 * [backup-simplify]: Simplify 0 into 0
5.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
5.667 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
5.668 * [backup-simplify]: Simplify (+ (* 2.0 -1/6) (+ (* 0 0) (* 0 (log ky)))) into (- 0.3333333333333333)
5.672 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (pow ky 2.0) 1.0))
5.673 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (pow ky 2.0) 1.0)) into (* -0.3333333333333333 (pow (pow ky 2.0) 1.0))
5.674 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.676 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.677 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
5.678 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky))))) into 0
5.679 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.679 * [backup-simplify]: Simplify 0 into 0
5.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.687 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
5.687 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) 0) into (log ky)
5.688 * [backup-simplify]: Simplify (+ (* 2.0 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log ky)))))) into (- 0.011111111111111112)
5.696 * [backup-simplify]: Simplify (* (exp (* 2.0 (log ky))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.011111111111111112) 1) 1)))) into (* 0.04444444444444444 (pow (pow ky 2.0) 1.0))
5.696 * [backup-simplify]: Simplify (* 0.04444444444444444 (pow (pow ky 2.0) 1.0)) into (* 0.04444444444444444 (pow (pow ky 2.0) 1.0))
5.696 * [backup-simplify]: Simplify (+ (* (* 0.04444444444444444 (pow (pow ky 2.0) 1.0)) (pow ky 4)) (+ (* (* -0.3333333333333333 (pow (pow ky 2.0) 1.0)) (pow ky 2)) (pow ky 2.0))) into (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4)))
5.697 * [backup-simplify]: Simplify (pow (sin (/ 1 ky)) 2.0) into (pow (sin (/ 1 ky)) 2.0)
5.697 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in (ky) around 0
5.697 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky
5.697 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky
5.697 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky
5.697 * [taylor]: Taking taylor expansion of 2.0 in ky
5.697 * [backup-simplify]: Simplify 2.0 into 2.0
5.697 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
5.697 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
5.697 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
5.697 * [taylor]: Taking taylor expansion of ky in ky
5.697 * [backup-simplify]: Simplify 0 into 0
5.697 * [backup-simplify]: Simplify 1 into 1
5.697 * [backup-simplify]: Simplify (/ 1 1) into 1
5.697 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
5.697 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
5.697 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 ky)))) into (* 2.0 (log (sin (/ 1 ky))))
5.697 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 2.0)
5.697 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky
5.697 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky
5.697 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky
5.697 * [taylor]: Taking taylor expansion of 2.0 in ky
5.697 * [backup-simplify]: Simplify 2.0 into 2.0
5.697 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky
5.697 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
5.697 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
5.697 * [taylor]: Taking taylor expansion of ky in ky
5.697 * [backup-simplify]: Simplify 0 into 0
5.697 * [backup-simplify]: Simplify 1 into 1
5.698 * [backup-simplify]: Simplify (/ 1 1) into 1
5.698 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
5.698 * [backup-simplify]: Simplify (log (sin (/ 1 ky))) into (log (sin (/ 1 ky)))
5.698 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 ky)))) into (* 2.0 (log (sin (/ 1 ky))))
5.698 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 ky))))) into (pow (sin (/ 1 ky)) 2.0)
5.698 * [backup-simplify]: Simplify (pow (sin (/ 1 ky)) 2.0) into (pow (sin (/ 1 ky)) 2.0)
5.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 ky)) 1)))) 1) into 0
5.699 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ 1 ky))))) into 0
5.700 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.700 * [backup-simplify]: Simplify 0 into 0
5.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 1)))) 2) into 0
5.701 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))) into 0
5.702 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.702 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 1)))) 6) into 0
5.705 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))) into 0
5.706 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.706 * [backup-simplify]: Simplify 0 into 0
5.709 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 1)))) 24) into 0
5.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))) into 0
5.711 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.711 * [backup-simplify]: Simplify 0 into 0
5.717 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 1)))) 120) into 0
5.719 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky))))))))) into 0
5.723 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.723 * [backup-simplify]: Simplify 0 into 0
5.736 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 ky)) 1)))) 720) into 0
5.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 ky)))))))))) into 0
5.747 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.747 * [backup-simplify]: Simplify 0 into 0
5.747 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 ky))) 2.0) into (pow (sin ky) 2.0)
5.748 * [backup-simplify]: Simplify (pow (sin (/ 1 (- ky))) 2.0) into (pow (sin (/ -1 ky)) 2.0)
5.748 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in (ky) around 0
5.748 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky
5.748 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky
5.748 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky
5.748 * [taylor]: Taking taylor expansion of 2.0 in ky
5.748 * [backup-simplify]: Simplify 2.0 into 2.0
5.748 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
5.748 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
5.748 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
5.748 * [taylor]: Taking taylor expansion of -1 in ky
5.748 * [backup-simplify]: Simplify -1 into -1
5.748 * [taylor]: Taking taylor expansion of ky in ky
5.748 * [backup-simplify]: Simplify 0 into 0
5.748 * [backup-simplify]: Simplify 1 into 1
5.749 * [backup-simplify]: Simplify (/ -1 1) into -1
5.749 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
5.749 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
5.749 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 ky)))) into (* 2.0 (log (sin (/ -1 ky))))
5.749 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 2.0)
5.749 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky
5.749 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky
5.749 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky
5.749 * [taylor]: Taking taylor expansion of 2.0 in ky
5.749 * [backup-simplify]: Simplify 2.0 into 2.0
5.749 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky
5.749 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
5.749 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
5.749 * [taylor]: Taking taylor expansion of -1 in ky
5.749 * [backup-simplify]: Simplify -1 into -1
5.749 * [taylor]: Taking taylor expansion of ky in ky
5.749 * [backup-simplify]: Simplify 0 into 0
5.749 * [backup-simplify]: Simplify 1 into 1
5.750 * [backup-simplify]: Simplify (/ -1 1) into -1
5.750 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
5.750 * [backup-simplify]: Simplify (log (sin (/ -1 ky))) into (log (sin (/ -1 ky)))
5.750 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 ky)))) into (* 2.0 (log (sin (/ -1 ky))))
5.750 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 ky))))) into (pow (sin (/ -1 ky)) 2.0)
5.751 * [backup-simplify]: Simplify (pow (sin (/ -1 ky)) 2.0) into (pow (sin (/ -1 ky)) 2.0)
5.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 ky)) 1)))) 1) into 0
5.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ -1 ky))))) into 0
5.753 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.753 * [backup-simplify]: Simplify 0 into 0
5.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 1)))) 2) into 0
5.756 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))) into 0
5.758 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.758 * [backup-simplify]: Simplify 0 into 0
5.761 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 1)))) 6) into 0
5.762 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))) into 0
5.764 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.764 * [backup-simplify]: Simplify 0 into 0
5.769 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 ky)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 1)))) 24) into 0
5.771 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))) into 0
5.774 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.774 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 ky)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 1)))) 120) into 0
5.785 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky))))))))) into 0
5.789 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.789 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 ky)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 ky)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 ky)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 ky)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 ky)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 ky)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 ky)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 ky)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 ky)) 1)))) 720) into 0
5.804 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 ky)))))))))) into 0
5.810 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 ky))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.810 * [backup-simplify]: Simplify 0 into 0
5.810 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- ky)))) 2.0) into (pow (sin ky) 2.0)
5.811 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1)
5.811 * [backup-simplify]: Simplify (pow (sin kx) 2.0) into (pow (sin kx) 2.0)
5.811 * [approximate]: Taking taylor expansion of (pow (sin kx) 2.0) in (kx) around 0
5.811 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx
5.811 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx
5.811 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx
5.811 * [taylor]: Taking taylor expansion of 2.0 in kx
5.811 * [backup-simplify]: Simplify 2.0 into 2.0
5.811 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx
5.811 * [taylor]: Taking taylor expansion of (sin kx) in kx
5.811 * [taylor]: Taking taylor expansion of kx in kx
5.811 * [backup-simplify]: Simplify 0 into 0
5.811 * [backup-simplify]: Simplify 1 into 1
5.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.812 * [backup-simplify]: Simplify (log 1) into 0
5.813 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
5.813 * [backup-simplify]: Simplify (* 2.0 (log kx)) into (* 2.0 (log kx))
5.813 * [backup-simplify]: Simplify (exp (* 2.0 (log kx))) into (pow kx 2.0)
5.813 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx
5.813 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx
5.813 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx
5.813 * [taylor]: Taking taylor expansion of 2.0 in kx
5.813 * [backup-simplify]: Simplify 2.0 into 2.0
5.813 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx
5.813 * [taylor]: Taking taylor expansion of (sin kx) in kx
5.813 * [taylor]: Taking taylor expansion of kx in kx
5.813 * [backup-simplify]: Simplify 0 into 0
5.813 * [backup-simplify]: Simplify 1 into 1
5.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.814 * [backup-simplify]: Simplify (log 1) into 0
5.814 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
5.815 * [backup-simplify]: Simplify (* 2.0 (log kx)) into (* 2.0 (log kx))
5.815 * [backup-simplify]: Simplify (exp (* 2.0 (log kx))) into (pow kx 2.0)
5.815 * [backup-simplify]: Simplify (pow kx 2.0) into (pow kx 2.0)
5.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.818 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
5.818 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log kx))) into 0
5.819 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 1) 1)))) into 0
5.819 * [backup-simplify]: Simplify 0 into 0
5.821 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
5.824 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
5.825 * [backup-simplify]: Simplify (+ (* 2.0 -1/6) (+ (* 0 0) (* 0 (log kx)))) into (- 0.3333333333333333)
5.830 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (pow (pow kx 2.0) 1.0))
5.830 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (pow kx 2.0) 1.0)) into (* -0.3333333333333333 (pow (pow kx 2.0) 1.0))
5.831 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.837 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
5.837 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
5.839 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log kx))))) into 0
5.841 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.841 * [backup-simplify]: Simplify 0 into 0
5.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
5.856 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
5.857 * [backup-simplify]: Simplify (+ (* (- -1) (log kx)) 0) into (log kx)
5.858 * [backup-simplify]: Simplify (+ (* 2.0 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log kx)))))) into (- 0.011111111111111112)
5.871 * [backup-simplify]: Simplify (* (exp (* 2.0 (log kx))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 0.3333333333333333) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.011111111111111112) 1) 1)))) into (* 0.04444444444444444 (pow (pow kx 2.0) 1.0))
5.871 * [backup-simplify]: Simplify (* 0.04444444444444444 (pow (pow kx 2.0) 1.0)) into (* 0.04444444444444444 (pow (pow kx 2.0) 1.0))
5.872 * [backup-simplify]: Simplify (+ (* (* 0.04444444444444444 (pow (pow kx 2.0) 1.0)) (pow kx 4)) (+ (* (* -0.3333333333333333 (pow (pow kx 2.0) 1.0)) (pow kx 2)) (pow kx 2.0))) into (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4)))
5.872 * [backup-simplify]: Simplify (pow (sin (/ 1 kx)) 2.0) into (pow (sin (/ 1 kx)) 2.0)
5.872 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in (kx) around 0
5.873 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx
5.873 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx
5.873 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx
5.873 * [taylor]: Taking taylor expansion of 2.0 in kx
5.873 * [backup-simplify]: Simplify 2.0 into 2.0
5.873 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx
5.873 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
5.873 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
5.873 * [taylor]: Taking taylor expansion of kx in kx
5.873 * [backup-simplify]: Simplify 0 into 0
5.873 * [backup-simplify]: Simplify 1 into 1
5.873 * [backup-simplify]: Simplify (/ 1 1) into 1
5.873 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
5.873 * [backup-simplify]: Simplify (log (sin (/ 1 kx))) into (log (sin (/ 1 kx)))
5.874 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 kx)))) into (* 2.0 (log (sin (/ 1 kx))))
5.874 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 kx))))) into (pow (sin (/ 1 kx)) 2.0)
5.874 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx
5.874 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx
5.874 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx
5.874 * [taylor]: Taking taylor expansion of 2.0 in kx
5.874 * [backup-simplify]: Simplify 2.0 into 2.0
5.874 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx
5.874 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
5.874 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
5.874 * [taylor]: Taking taylor expansion of kx in kx
5.874 * [backup-simplify]: Simplify 0 into 0
5.874 * [backup-simplify]: Simplify 1 into 1
5.874 * [backup-simplify]: Simplify (/ 1 1) into 1
5.874 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
5.875 * [backup-simplify]: Simplify (log (sin (/ 1 kx))) into (log (sin (/ 1 kx)))
5.875 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ 1 kx)))) into (* 2.0 (log (sin (/ 1 kx))))
5.875 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ 1 kx))))) into (pow (sin (/ 1 kx)) 2.0)
5.875 * [backup-simplify]: Simplify (pow (sin (/ 1 kx)) 2.0) into (pow (sin (/ 1 kx)) 2.0)
5.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 kx)) 1)))) 1) into 0
5.876 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ 1 kx))))) into 0
5.877 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.877 * [backup-simplify]: Simplify 0 into 0
5.878 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 1)))) 2) into 0
5.878 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx)))))) into 0
5.879 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.879 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 kx)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 1)))) 6) into 0
5.882 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx))))))) into 0
5.883 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.883 * [backup-simplify]: Simplify 0 into 0
5.886 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 kx)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 kx)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 1)))) 24) into 0
5.887 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx)))))))) into 0
5.890 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.890 * [backup-simplify]: Simplify 0 into 0
5.895 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 kx)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 kx)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 kx)) 1)))) 120) into 0
5.896 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx))))))))) into 0
5.898 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.898 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 kx)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 kx)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 kx)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 kx)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 kx)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 kx)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 kx)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 kx)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 kx)) 1)))) 720) into 0
5.907 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 kx)))))))))) into 0
5.911 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ 1 kx))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.911 * [backup-simplify]: Simplify 0 into 0
5.911 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 kx))) 2.0) into (pow (sin kx) 2.0)
5.911 * [backup-simplify]: Simplify (pow (sin (/ 1 (- kx))) 2.0) into (pow (sin (/ -1 kx)) 2.0)
5.911 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in (kx) around 0
5.911 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx
5.911 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx
5.911 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx
5.911 * [taylor]: Taking taylor expansion of 2.0 in kx
5.911 * [backup-simplify]: Simplify 2.0 into 2.0
5.911 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx
5.911 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
5.911 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
5.911 * [taylor]: Taking taylor expansion of -1 in kx
5.911 * [backup-simplify]: Simplify -1 into -1
5.911 * [taylor]: Taking taylor expansion of kx in kx
5.911 * [backup-simplify]: Simplify 0 into 0
5.911 * [backup-simplify]: Simplify 1 into 1
5.911 * [backup-simplify]: Simplify (/ -1 1) into -1
5.911 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
5.912 * [backup-simplify]: Simplify (log (sin (/ -1 kx))) into (log (sin (/ -1 kx)))
5.912 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 kx)))) into (* 2.0 (log (sin (/ -1 kx))))
5.912 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 kx))))) into (pow (sin (/ -1 kx)) 2.0)
5.912 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx
5.912 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx
5.912 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx
5.912 * [taylor]: Taking taylor expansion of 2.0 in kx
5.912 * [backup-simplify]: Simplify 2.0 into 2.0
5.912 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx
5.912 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
5.912 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
5.912 * [taylor]: Taking taylor expansion of -1 in kx
5.912 * [backup-simplify]: Simplify -1 into -1
5.912 * [taylor]: Taking taylor expansion of kx in kx
5.912 * [backup-simplify]: Simplify 0 into 0
5.912 * [backup-simplify]: Simplify 1 into 1
5.912 * [backup-simplify]: Simplify (/ -1 1) into -1
5.912 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
5.913 * [backup-simplify]: Simplify (log (sin (/ -1 kx))) into (log (sin (/ -1 kx)))
5.913 * [backup-simplify]: Simplify (* 2.0 (log (sin (/ -1 kx)))) into (* 2.0 (log (sin (/ -1 kx))))
5.913 * [backup-simplify]: Simplify (exp (* 2.0 (log (sin (/ -1 kx))))) into (pow (sin (/ -1 kx)) 2.0)
5.913 * [backup-simplify]: Simplify (pow (sin (/ -1 kx)) 2.0) into (pow (sin (/ -1 kx)) 2.0)
5.913 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 kx)) 1)))) 1) into 0
5.914 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (log (sin (/ -1 kx))))) into 0
5.914 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.914 * [backup-simplify]: Simplify 0 into 0
5.915 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 1)))) 2) into 0
5.916 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx)))))) into 0
5.917 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.917 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 kx)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 1)))) 6) into 0
5.919 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx))))))) into 0
5.920 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.920 * [backup-simplify]: Simplify 0 into 0
5.923 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 kx)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 kx)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 1)))) 24) into 0
5.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx)))))))) into 0
5.926 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.926 * [backup-simplify]: Simplify 0 into 0
5.931 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 kx)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 kx)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 kx)) 1)))) 120) into 0
5.932 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx))))))))) into 0
5.936 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.936 * [backup-simplify]: Simplify 0 into 0
5.949 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 kx)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 kx)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 kx)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 kx)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 kx)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 kx)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 kx)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 kx)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 kx)) 1)))) 720) into 0
5.952 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 kx)))))))))) into 0
5.957 * [backup-simplify]: Simplify (* (exp (* 2.0 (log (sin (/ -1 kx))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.957 * [backup-simplify]: Simplify 0 into 0
5.958 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- kx)))) 2.0) into (pow (sin kx) 2.0)
5.958 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.959 * [backup-simplify]: Simplify (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
5.959 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) in (ky kx th) around 0
5.959 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) in th
5.959 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in th
5.959 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in th
5.959 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in th
5.959 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in th
5.959 * [taylor]: Taking taylor expansion of (sin ky) in th
5.959 * [taylor]: Taking taylor expansion of ky in th
5.959 * [backup-simplify]: Simplify ky into ky
5.959 * [backup-simplify]: Simplify (sin ky) into (sin ky)
5.959 * [backup-simplify]: Simplify (cos ky) into (cos ky)
5.959 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
5.959 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
5.959 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
5.959 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in th
5.959 * [taylor]: Taking taylor expansion of (sin kx) in th
5.959 * [taylor]: Taking taylor expansion of kx in th
5.959 * [backup-simplify]: Simplify kx into kx
5.959 * [backup-simplify]: Simplify (sin kx) into (sin kx)
5.959 * [backup-simplify]: Simplify (cos kx) into (cos kx)
5.960 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
5.960 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
5.960 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
5.960 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
5.960 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
5.960 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
5.961 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))
5.961 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))
5.961 * [backup-simplify]: Simplify (+ 0) into 0
5.962 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
5.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.964 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
5.964 * [backup-simplify]: Simplify (+ 0 0) into 0
5.964 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
5.964 * [backup-simplify]: Simplify (+ 0) into 0
5.965 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
5.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.966 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
5.967 * [backup-simplify]: Simplify (+ 0 0) into 0
5.967 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
5.967 * [backup-simplify]: Simplify (+ 0 0) into 0
5.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 0 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) into 0
5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) into 0
5.968 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
5.968 * [taylor]: Taking taylor expansion of (sin th) in th
5.968 * [taylor]: Taking taylor expansion of th in th
5.968 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [taylor]: Taking taylor expansion of (sin ky) in th
5.968 * [taylor]: Taking taylor expansion of ky in th
5.968 * [backup-simplify]: Simplify ky into ky
5.969 * [backup-simplify]: Simplify (sin ky) into (sin ky)
5.969 * [backup-simplify]: Simplify (cos ky) into (cos ky)
5.969 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) in kx
5.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
5.969 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
5.969 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
5.969 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
5.969 * [taylor]: Taking taylor expansion of (sin ky) in kx
5.969 * [taylor]: Taking taylor expansion of ky in kx
5.969 * [backup-simplify]: Simplify ky into ky
5.969 * [backup-simplify]: Simplify (sin ky) into (sin ky)
5.969 * [backup-simplify]: Simplify (cos ky) into (cos ky)
5.969 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
5.969 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
5.969 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
5.969 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
5.969 * [taylor]: Taking taylor expansion of (sin kx) in kx
5.969 * [taylor]: Taking taylor expansion of kx in kx
5.969 * [backup-simplify]: Simplify 0 into 0
5.969 * [backup-simplify]: Simplify 1 into 1
5.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.970 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
5.970 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
5.971 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
5.971 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
5.971 * [backup-simplify]: Simplify (+ 0) into 0
5.972 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
5.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.973 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
5.973 * [backup-simplify]: Simplify (+ 0 0) into 0
5.973 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
5.974 * [backup-simplify]: Simplify (+ 0 0) into 0
5.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
5.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
5.974 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
5.974 * [taylor]: Taking taylor expansion of (sin th) in kx
5.975 * [taylor]: Taking taylor expansion of th in kx
5.975 * [backup-simplify]: Simplify th into th
5.975 * [backup-simplify]: Simplify (sin th) into (sin th)
5.975 * [backup-simplify]: Simplify (cos th) into (cos th)
5.975 * [taylor]: Taking taylor expansion of (sin ky) in kx
5.975 * [taylor]: Taking taylor expansion of ky in kx
5.975 * [backup-simplify]: Simplify ky into ky
5.975 * [backup-simplify]: Simplify (sin ky) into (sin ky)
5.975 * [backup-simplify]: Simplify (cos ky) into (cos ky)
5.975 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) in ky
5.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
5.975 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
5.975 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
5.975 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
5.975 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.975 * [taylor]: Taking taylor expansion of ky in ky
5.975 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify 1 into 1
5.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.976 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
5.976 * [taylor]: Taking taylor expansion of (sin kx) in ky
5.976 * [taylor]: Taking taylor expansion of kx in ky
5.976 * [backup-simplify]: Simplify kx into kx
5.976 * [backup-simplify]: Simplify (sin kx) into (sin kx)
5.976 * [backup-simplify]: Simplify (cos kx) into (cos kx)
5.976 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
5.976 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
5.976 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
5.976 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
5.977 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
5.977 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
5.977 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
5.977 * [backup-simplify]: Simplify (+ 0) into 0
5.978 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
5.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.979 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
5.979 * [backup-simplify]: Simplify (+ 0 0) into 0
5.980 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
5.980 * [backup-simplify]: Simplify (+ 0 0) into 0
5.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
5.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
5.980 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
5.980 * [taylor]: Taking taylor expansion of (sin th) in ky
5.980 * [taylor]: Taking taylor expansion of th in ky
5.980 * [backup-simplify]: Simplify th into th
5.980 * [backup-simplify]: Simplify (sin th) into (sin th)
5.980 * [backup-simplify]: Simplify (cos th) into (cos th)
5.980 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.980 * [taylor]: Taking taylor expansion of ky in ky
5.980 * [backup-simplify]: Simplify 0 into 0
5.980 * [backup-simplify]: Simplify 1 into 1
5.980 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) in ky
5.980 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
5.980 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
5.980 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
5.980 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
5.980 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.980 * [taylor]: Taking taylor expansion of ky in ky
5.980 * [backup-simplify]: Simplify 0 into 0
5.980 * [backup-simplify]: Simplify 1 into 1
5.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.981 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
5.981 * [taylor]: Taking taylor expansion of (sin kx) in ky
5.981 * [taylor]: Taking taylor expansion of kx in ky
5.981 * [backup-simplify]: Simplify kx into kx
5.981 * [backup-simplify]: Simplify (sin kx) into (sin kx)
5.981 * [backup-simplify]: Simplify (cos kx) into (cos kx)
5.981 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
5.981 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
5.981 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
5.981 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
5.981 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
5.981 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
5.982 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
5.982 * [backup-simplify]: Simplify (+ 0) into 0
5.982 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
5.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.983 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
5.983 * [backup-simplify]: Simplify (+ 0 0) into 0
5.983 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
5.983 * [backup-simplify]: Simplify (+ 0 0) into 0
5.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
5.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
5.984 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
5.984 * [taylor]: Taking taylor expansion of (sin th) in ky
5.984 * [taylor]: Taking taylor expansion of th in ky
5.984 * [backup-simplify]: Simplify th into th
5.984 * [backup-simplify]: Simplify (sin th) into (sin th)
5.984 * [backup-simplify]: Simplify (cos th) into (cos th)
5.984 * [taylor]: Taking taylor expansion of (sin ky) in ky
5.984 * [taylor]: Taking taylor expansion of ky in ky
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 1 into 1
5.984 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
5.984 * [backup-simplify]: Simplify (* (cos th) 0) into 0
5.984 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
5.984 * [backup-simplify]: Simplify (* (sin th) 0) into 0
5.984 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
5.984 * [taylor]: Taking taylor expansion of 0 in kx
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [taylor]: Taking taylor expansion of 0 in th
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 0 into 0
5.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.985 * [backup-simplify]: Simplify (+ 0) into 0
5.985 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
5.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.986 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
5.986 * [backup-simplify]: Simplify (+ 0 0) into 0
5.987 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
5.987 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) (sin th)) (* 0 0)) into (/ (sin th) (sin kx))
5.987 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
5.987 * [taylor]: Taking taylor expansion of (sin th) in kx
5.987 * [taylor]: Taking taylor expansion of th in kx
5.987 * [backup-simplify]: Simplify th into th
5.987 * [backup-simplify]: Simplify (sin th) into (sin th)
5.987 * [backup-simplify]: Simplify (cos th) into (cos th)
5.987 * [taylor]: Taking taylor expansion of (sin kx) in kx
5.987 * [taylor]: Taking taylor expansion of kx in kx
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 1 into 1
5.987 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
5.987 * [backup-simplify]: Simplify (* (cos th) 0) into 0
5.987 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
5.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.988 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
5.988 * [backup-simplify]: Simplify (+ 0) into 0
5.989 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
5.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.989 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
5.990 * [backup-simplify]: Simplify (+ 0 0) into 0
5.990 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
5.991 * [taylor]: Taking taylor expansion of 0 in th
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [taylor]: Taking taylor expansion of 0 in th
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify 0 into 0
5.991 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.992 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
5.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.993 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
5.993 * [backup-simplify]: Simplify (+ 0 0) into 0
5.994 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
5.994 * [backup-simplify]: Simplify (* 1 1) into 1
5.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.995 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
5.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.996 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
5.996 * [backup-simplify]: Simplify (+ 0 0) into 0
5.996 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
5.996 * [backup-simplify]: Simplify (+ 1 0) into 1
5.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 1 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))))) into (- (/ 1 (pow (sin kx) 4)))
5.997 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
5.998 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 (sin th)) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
5.998 * [taylor]: Taking taylor expansion of 0 in kx
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [taylor]: Taking taylor expansion of 0 in th
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.999 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
5.999 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.000 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
6.000 * [backup-simplify]: Simplify (+ 0 0) into 0
6.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
6.004 * [taylor]: Taking taylor expansion of (* 1/6 (sin th)) in th
6.004 * [taylor]: Taking taylor expansion of 1/6 in th
6.004 * [backup-simplify]: Simplify 1/6 into 1/6
6.004 * [taylor]: Taking taylor expansion of (sin th) in th
6.005 * [taylor]: Taking taylor expansion of th in th
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.005 * [backup-simplify]: Simplify (* 1/6 0) into 0
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify (* (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2.0) (pow (sin (/ 1 ky)) 2.0)))) (sin (/ 1 th))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.005 * [approximate]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in (ky kx th) around 0
6.005 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in th
6.005 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
6.005 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
6.005 * [taylor]: Taking taylor expansion of (/ 1 th) in th
6.005 * [taylor]: Taking taylor expansion of th in th
6.005 * [backup-simplify]: Simplify 0 into 0
6.005 * [backup-simplify]: Simplify 1 into 1
6.006 * [backup-simplify]: Simplify (/ 1 1) into 1
6.006 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.006 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.006 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.006 * [taylor]: Taking taylor expansion of ky in th
6.006 * [backup-simplify]: Simplify ky into ky
6.006 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.006 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.006 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.006 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
6.006 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
6.006 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
6.006 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
6.006 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.006 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.006 * [taylor]: Taking taylor expansion of kx in th
6.006 * [backup-simplify]: Simplify kx into kx
6.006 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.006 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.006 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.006 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.006 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.006 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.006 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
6.006 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.006 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.006 * [taylor]: Taking taylor expansion of ky in th
6.006 * [backup-simplify]: Simplify ky into ky
6.007 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.007 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.007 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.007 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.007 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.007 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.007 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.007 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.007 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.008 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.008 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.008 * [backup-simplify]: Simplify (+ 0) into 0
6.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.009 * [backup-simplify]: Simplify (+ 0 0) into 0
6.010 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.010 * [backup-simplify]: Simplify (+ 0) into 0
6.010 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.011 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.011 * [backup-simplify]: Simplify (+ 0 0) into 0
6.011 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.012 * [backup-simplify]: Simplify (+ 0 0) into 0
6.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.012 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
6.012 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
6.012 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
6.012 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
6.012 * [taylor]: Taking taylor expansion of th in kx
6.012 * [backup-simplify]: Simplify th into th
6.012 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.013 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.013 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.013 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.013 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.013 * [taylor]: Taking taylor expansion of ky in kx
6.013 * [backup-simplify]: Simplify ky into ky
6.013 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.013 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.013 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
6.013 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
6.013 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
6.013 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
6.013 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.013 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.013 * [taylor]: Taking taylor expansion of kx in kx
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 1 into 1
6.013 * [backup-simplify]: Simplify (/ 1 1) into 1
6.013 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.013 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
6.013 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.014 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.014 * [taylor]: Taking taylor expansion of ky in kx
6.014 * [backup-simplify]: Simplify ky into ky
6.014 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.014 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.014 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.014 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.014 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.014 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.014 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.014 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.014 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.014 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.015 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.015 * [backup-simplify]: Simplify (+ 0) into 0
6.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.017 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.017 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.018 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky
6.018 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
6.018 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
6.018 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
6.018 * [taylor]: Taking taylor expansion of th in ky
6.018 * [backup-simplify]: Simplify th into th
6.018 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.018 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.018 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.018 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.018 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.018 * [taylor]: Taking taylor expansion of ky in ky
6.018 * [backup-simplify]: Simplify 0 into 0
6.018 * [backup-simplify]: Simplify 1 into 1
6.018 * [backup-simplify]: Simplify (/ 1 1) into 1
6.018 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
6.018 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
6.018 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
6.018 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
6.019 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.019 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.019 * [taylor]: Taking taylor expansion of kx in ky
6.019 * [backup-simplify]: Simplify kx into kx
6.019 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.019 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.019 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.019 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.019 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.019 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.019 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
6.019 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.019 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.019 * [taylor]: Taking taylor expansion of ky in ky
6.019 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify 1 into 1
6.019 * [backup-simplify]: Simplify (/ 1 1) into 1
6.019 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.019 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.019 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.020 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.020 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.020 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.020 * [backup-simplify]: Simplify (+ 0) into 0
6.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.022 * [backup-simplify]: Simplify (+ 0 0) into 0
6.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.022 * [backup-simplify]: Simplify (+ 0 0) into 0
6.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.023 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky
6.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
6.023 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
6.023 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
6.023 * [taylor]: Taking taylor expansion of th in ky
6.023 * [backup-simplify]: Simplify th into th
6.023 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.023 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.023 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.024 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.024 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.024 * [taylor]: Taking taylor expansion of ky in ky
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 1 into 1
6.024 * [backup-simplify]: Simplify (/ 1 1) into 1
6.024 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
6.024 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
6.024 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
6.024 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
6.024 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.024 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.024 * [taylor]: Taking taylor expansion of kx in ky
6.024 * [backup-simplify]: Simplify kx into kx
6.024 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.024 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.024 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.024 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.024 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.024 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.024 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
6.024 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.024 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.024 * [taylor]: Taking taylor expansion of ky in ky
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (/ 1 1) into 1
6.025 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.025 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.025 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.025 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.025 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.026 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.026 * [backup-simplify]: Simplify (+ 0) into 0
6.026 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.027 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.027 * [backup-simplify]: Simplify (+ 0 0) into 0
6.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.028 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.028 * [backup-simplify]: Simplify (+ 0 0) into 0
6.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.029 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.029 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.029 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.029 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.029 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.029 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
6.029 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
6.029 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
6.029 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
6.029 * [taylor]: Taking taylor expansion of th in kx
6.029 * [backup-simplify]: Simplify th into th
6.029 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.029 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.029 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.029 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.029 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.029 * [taylor]: Taking taylor expansion of ky in kx
6.029 * [backup-simplify]: Simplify ky into ky
6.030 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.030 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.030 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.030 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
6.030 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
6.030 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
6.030 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
6.030 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.030 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.030 * [taylor]: Taking taylor expansion of kx in kx
6.030 * [backup-simplify]: Simplify 0 into 0
6.030 * [backup-simplify]: Simplify 1 into 1
6.030 * [backup-simplify]: Simplify (/ 1 1) into 1
6.030 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.030 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
6.030 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.030 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.030 * [taylor]: Taking taylor expansion of ky in kx
6.030 * [backup-simplify]: Simplify ky into ky
6.030 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.030 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.030 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.031 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.031 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.031 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.031 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.031 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.031 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.031 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.032 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.032 * [backup-simplify]: Simplify (+ 0) into 0
6.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.033 * [backup-simplify]: Simplify (+ 0 0) into 0
6.034 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.034 * [backup-simplify]: Simplify (+ 0 0) into 0
6.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.035 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.035 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.035 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.035 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.035 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.035 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.035 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.035 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.035 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in th
6.035 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
6.035 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
6.035 * [taylor]: Taking taylor expansion of (/ 1 th) in th
6.035 * [taylor]: Taking taylor expansion of th in th
6.035 * [backup-simplify]: Simplify 0 into 0
6.035 * [backup-simplify]: Simplify 1 into 1
6.036 * [backup-simplify]: Simplify (/ 1 1) into 1
6.036 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.036 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.036 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.036 * [taylor]: Taking taylor expansion of ky in th
6.036 * [backup-simplify]: Simplify ky into ky
6.036 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.036 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.036 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
6.036 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
6.036 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
6.036 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
6.036 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.036 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.036 * [taylor]: Taking taylor expansion of kx in th
6.036 * [backup-simplify]: Simplify kx into kx
6.036 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.036 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.036 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.036 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.036 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.036 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.036 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
6.036 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.036 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.036 * [taylor]: Taking taylor expansion of ky in th
6.036 * [backup-simplify]: Simplify ky into ky
6.037 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.037 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.037 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.037 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.037 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.037 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.037 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.037 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.037 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.037 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.038 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.038 * [backup-simplify]: Simplify (+ 0) into 0
6.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.039 * [backup-simplify]: Simplify (+ 0 0) into 0
6.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.040 * [backup-simplify]: Simplify (+ 0) into 0
6.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.041 * [backup-simplify]: Simplify (+ 0 0) into 0
6.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.042 * [backup-simplify]: Simplify (+ 0 0) into 0
6.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.042 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.042 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.042 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.043 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.043 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.043 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.044 * [backup-simplify]: Simplify (+ 0) into 0
6.044 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
6.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
6.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
6.045 * [backup-simplify]: Simplify (+ 0 0) into 0
6.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.045 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.045 * [taylor]: Taking taylor expansion of 0 in kx
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [taylor]: Taking taylor expansion of 0 in th
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify (+ 0) into 0
6.046 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.047 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.047 * [backup-simplify]: Simplify (+ 0 0) into 0
6.048 * [backup-simplify]: Simplify (+ 0) into 0
6.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
6.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
6.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
6.049 * [backup-simplify]: Simplify (+ 0 0) into 0
6.049 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.049 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.049 * [taylor]: Taking taylor expansion of 0 in th
6.049 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify (+ 0) into 0
6.050 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.051 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.051 * [backup-simplify]: Simplify (+ 0 0) into 0
6.051 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.052 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.053 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.054 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.054 * [backup-simplify]: Simplify (+ 0 0) into 0
6.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.055 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.055 * [backup-simplify]: Simplify (+ 0 0) into 0
6.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.057 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.057 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.058 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.058 * [backup-simplify]: Simplify (+ 0 0) into 0
6.059 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.059 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
6.059 * [taylor]: Taking taylor expansion of 0 in kx
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [taylor]: Taking taylor expansion of 0 in th
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [taylor]: Taking taylor expansion of 0 in th
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.060 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.061 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.061 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.062 * [backup-simplify]: Simplify (+ 0 0) into 0
6.062 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.063 * [backup-simplify]: Simplify (+ 0 0) into 0
6.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.064 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.065 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.065 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.066 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.066 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.066 * [backup-simplify]: Simplify (+ 0 0) into 0
6.067 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.067 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.069 * [backup-simplify]: Simplify (+ 0 0) into 0
6.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.070 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
6.070 * [taylor]: Taking taylor expansion of 0 in th
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify (* (* (sin (/ 1 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
6.070 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- ky))) (sqrt (+ (pow (sin (/ 1 (- kx))) 2.0) (pow (sin (/ 1 (- ky))) 2.0)))) (sin (/ 1 (- th)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.070 * [approximate]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in (ky kx th) around 0
6.070 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in th
6.070 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
6.070 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
6.070 * [taylor]: Taking taylor expansion of (/ -1 th) in th
6.070 * [taylor]: Taking taylor expansion of -1 in th
6.070 * [backup-simplify]: Simplify -1 into -1
6.070 * [taylor]: Taking taylor expansion of th in th
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (/ -1 1) into -1
6.071 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.071 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.071 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.071 * [taylor]: Taking taylor expansion of -1 in th
6.071 * [backup-simplify]: Simplify -1 into -1
6.071 * [taylor]: Taking taylor expansion of ky in th
6.071 * [backup-simplify]: Simplify ky into ky
6.071 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.071 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.071 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
6.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
6.071 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
6.071 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
6.071 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.071 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.071 * [taylor]: Taking taylor expansion of -1 in th
6.071 * [backup-simplify]: Simplify -1 into -1
6.071 * [taylor]: Taking taylor expansion of kx in th
6.071 * [backup-simplify]: Simplify kx into kx
6.071 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.071 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.071 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.072 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.072 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.072 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.072 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
6.072 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.072 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.072 * [taylor]: Taking taylor expansion of -1 in th
6.072 * [backup-simplify]: Simplify -1 into -1
6.072 * [taylor]: Taking taylor expansion of ky in th
6.072 * [backup-simplify]: Simplify ky into ky
6.072 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.072 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.072 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.072 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.072 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.073 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.073 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.073 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.073 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.074 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.074 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.074 * [backup-simplify]: Simplify (+ 0) into 0
6.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.075 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.077 * [backup-simplify]: Simplify (+ 0 0) into 0
6.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.077 * [backup-simplify]: Simplify (+ 0) into 0
6.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.078 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.079 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.080 * [backup-simplify]: Simplify (+ 0 0) into 0
6.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.080 * [backup-simplify]: Simplify (+ 0 0) into 0
6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.082 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
6.082 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
6.082 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
6.082 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
6.082 * [taylor]: Taking taylor expansion of -1 in kx
6.082 * [backup-simplify]: Simplify -1 into -1
6.082 * [taylor]: Taking taylor expansion of th in kx
6.082 * [backup-simplify]: Simplify th into th
6.082 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.082 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.082 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.082 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.082 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.082 * [taylor]: Taking taylor expansion of -1 in kx
6.082 * [backup-simplify]: Simplify -1 into -1
6.082 * [taylor]: Taking taylor expansion of ky in kx
6.082 * [backup-simplify]: Simplify ky into ky
6.082 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.083 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.083 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
6.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
6.083 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
6.083 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
6.083 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.083 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.083 * [taylor]: Taking taylor expansion of -1 in kx
6.083 * [backup-simplify]: Simplify -1 into -1
6.083 * [taylor]: Taking taylor expansion of kx in kx
6.083 * [backup-simplify]: Simplify 0 into 0
6.083 * [backup-simplify]: Simplify 1 into 1
6.083 * [backup-simplify]: Simplify (/ -1 1) into -1
6.084 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.084 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
6.084 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.084 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.084 * [taylor]: Taking taylor expansion of -1 in kx
6.084 * [backup-simplify]: Simplify -1 into -1
6.084 * [taylor]: Taking taylor expansion of ky in kx
6.084 * [backup-simplify]: Simplify ky into ky
6.084 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.084 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.084 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.084 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.084 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.084 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.084 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.085 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.085 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.085 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.086 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.086 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.086 * [backup-simplify]: Simplify (+ 0) into 0
6.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.087 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.088 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.091 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
6.091 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
6.091 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
6.091 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
6.091 * [taylor]: Taking taylor expansion of -1 in ky
6.091 * [backup-simplify]: Simplify -1 into -1
6.091 * [taylor]: Taking taylor expansion of th in ky
6.091 * [backup-simplify]: Simplify th into th
6.091 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.091 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.091 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.091 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.091 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.091 * [taylor]: Taking taylor expansion of -1 in ky
6.091 * [backup-simplify]: Simplify -1 into -1
6.091 * [taylor]: Taking taylor expansion of ky in ky
6.091 * [backup-simplify]: Simplify 0 into 0
6.091 * [backup-simplify]: Simplify 1 into 1
6.092 * [backup-simplify]: Simplify (/ -1 1) into -1
6.092 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
6.092 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
6.092 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
6.092 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
6.092 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.092 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.092 * [taylor]: Taking taylor expansion of -1 in ky
6.092 * [backup-simplify]: Simplify -1 into -1
6.092 * [taylor]: Taking taylor expansion of kx in ky
6.092 * [backup-simplify]: Simplify kx into kx
6.092 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.092 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.092 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.092 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.092 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.092 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.092 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
6.092 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.092 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.092 * [taylor]: Taking taylor expansion of -1 in ky
6.092 * [backup-simplify]: Simplify -1 into -1
6.092 * [taylor]: Taking taylor expansion of ky in ky
6.092 * [backup-simplify]: Simplify 0 into 0
6.092 * [backup-simplify]: Simplify 1 into 1
6.093 * [backup-simplify]: Simplify (/ -1 1) into -1
6.093 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.093 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.093 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.093 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.093 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.094 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.094 * [backup-simplify]: Simplify (+ 0) into 0
6.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.094 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.095 * [backup-simplify]: Simplify (+ 0 0) into 0
6.095 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.096 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.096 * [backup-simplify]: Simplify (+ 0 0) into 0
6.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.097 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
6.097 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
6.097 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
6.097 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
6.097 * [taylor]: Taking taylor expansion of -1 in ky
6.097 * [backup-simplify]: Simplify -1 into -1
6.097 * [taylor]: Taking taylor expansion of th in ky
6.097 * [backup-simplify]: Simplify th into th
6.097 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.097 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.097 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.097 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.097 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.097 * [taylor]: Taking taylor expansion of -1 in ky
6.097 * [backup-simplify]: Simplify -1 into -1
6.097 * [taylor]: Taking taylor expansion of ky in ky
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 1 into 1
6.097 * [backup-simplify]: Simplify (/ -1 1) into -1
6.097 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
6.097 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
6.097 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
6.097 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
6.097 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.097 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.097 * [taylor]: Taking taylor expansion of -1 in ky
6.097 * [backup-simplify]: Simplify -1 into -1
6.097 * [taylor]: Taking taylor expansion of kx in ky
6.097 * [backup-simplify]: Simplify kx into kx
6.097 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.097 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.098 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.098 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.098 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.098 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.098 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
6.098 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.098 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.098 * [taylor]: Taking taylor expansion of -1 in ky
6.098 * [backup-simplify]: Simplify -1 into -1
6.098 * [taylor]: Taking taylor expansion of ky in ky
6.098 * [backup-simplify]: Simplify 0 into 0
6.098 * [backup-simplify]: Simplify 1 into 1
6.098 * [backup-simplify]: Simplify (/ -1 1) into -1
6.098 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.098 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.098 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.099 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.099 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.099 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.099 * [backup-simplify]: Simplify (+ 0) into 0
6.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.100 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.101 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.101 * [backup-simplify]: Simplify (+ 0 0) into 0
6.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.101 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.102 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.102 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.102 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.102 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.103 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.103 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
6.103 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
6.103 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
6.103 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
6.103 * [taylor]: Taking taylor expansion of -1 in kx
6.103 * [backup-simplify]: Simplify -1 into -1
6.103 * [taylor]: Taking taylor expansion of th in kx
6.103 * [backup-simplify]: Simplify th into th
6.103 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.103 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.103 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.103 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.103 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.103 * [taylor]: Taking taylor expansion of -1 in kx
6.103 * [backup-simplify]: Simplify -1 into -1
6.103 * [taylor]: Taking taylor expansion of ky in kx
6.103 * [backup-simplify]: Simplify ky into ky
6.103 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.103 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.103 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
6.103 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
6.103 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
6.103 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
6.103 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.103 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.103 * [taylor]: Taking taylor expansion of -1 in kx
6.103 * [backup-simplify]: Simplify -1 into -1
6.103 * [taylor]: Taking taylor expansion of kx in kx
6.103 * [backup-simplify]: Simplify 0 into 0
6.103 * [backup-simplify]: Simplify 1 into 1
6.104 * [backup-simplify]: Simplify (/ -1 1) into -1
6.104 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.104 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
6.104 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.104 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.104 * [taylor]: Taking taylor expansion of -1 in kx
6.104 * [backup-simplify]: Simplify -1 into -1
6.104 * [taylor]: Taking taylor expansion of ky in kx
6.104 * [backup-simplify]: Simplify ky into ky
6.104 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.104 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.104 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.104 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.104 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.104 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.104 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.104 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.105 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.105 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.105 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.105 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.106 * [backup-simplify]: Simplify (+ 0) into 0
6.106 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.106 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.107 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.107 * [backup-simplify]: Simplify (+ 0 0) into 0
6.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.107 * [backup-simplify]: Simplify (+ 0 0) into 0
6.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.108 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.108 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.108 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.108 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.108 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.108 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.108 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.109 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.109 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in th
6.109 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
6.109 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
6.109 * [taylor]: Taking taylor expansion of (/ -1 th) in th
6.109 * [taylor]: Taking taylor expansion of -1 in th
6.109 * [backup-simplify]: Simplify -1 into -1
6.109 * [taylor]: Taking taylor expansion of th in th
6.109 * [backup-simplify]: Simplify 0 into 0
6.109 * [backup-simplify]: Simplify 1 into 1
6.109 * [backup-simplify]: Simplify (/ -1 1) into -1
6.109 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.109 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.109 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.109 * [taylor]: Taking taylor expansion of -1 in th
6.109 * [backup-simplify]: Simplify -1 into -1
6.109 * [taylor]: Taking taylor expansion of ky in th
6.109 * [backup-simplify]: Simplify ky into ky
6.109 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.109 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.110 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
6.110 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
6.110 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
6.110 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
6.110 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.110 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.110 * [taylor]: Taking taylor expansion of -1 in th
6.110 * [backup-simplify]: Simplify -1 into -1
6.110 * [taylor]: Taking taylor expansion of kx in th
6.110 * [backup-simplify]: Simplify kx into kx
6.110 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.110 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.110 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.110 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.110 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.110 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.110 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
6.110 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.110 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.110 * [taylor]: Taking taylor expansion of -1 in th
6.110 * [backup-simplify]: Simplify -1 into -1
6.110 * [taylor]: Taking taylor expansion of ky in th
6.110 * [backup-simplify]: Simplify ky into ky
6.110 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.110 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.110 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.110 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.110 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.110 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.111 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.111 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.111 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.111 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.111 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.112 * [backup-simplify]: Simplify (+ 0) into 0
6.112 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.112 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.113 * [backup-simplify]: Simplify (+ 0 0) into 0
6.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.113 * [backup-simplify]: Simplify (+ 0) into 0
6.114 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.114 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.114 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.115 * [backup-simplify]: Simplify (+ 0 0) into 0
6.115 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.115 * [backup-simplify]: Simplify (+ 0 0) into 0
6.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.116 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.116 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.116 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.116 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.117 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.117 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.117 * [backup-simplify]: Simplify (+ 0) into 0
6.118 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
6.118 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
6.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
6.120 * [backup-simplify]: Simplify (+ 0 0) into 0
6.121 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.121 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.121 * [taylor]: Taking taylor expansion of 0 in kx
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [taylor]: Taking taylor expansion of 0 in th
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [backup-simplify]: Simplify (+ 0) into 0
6.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.122 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.123 * [backup-simplify]: Simplify (+ 0 0) into 0
6.123 * [backup-simplify]: Simplify (+ 0) into 0
6.123 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
6.124 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
6.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.124 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
6.125 * [backup-simplify]: Simplify (+ 0 0) into 0
6.125 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.125 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.125 * [taylor]: Taking taylor expansion of 0 in th
6.125 * [backup-simplify]: Simplify 0 into 0
6.125 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify (+ 0) into 0
6.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.126 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.127 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.127 * [backup-simplify]: Simplify (+ 0 0) into 0
6.127 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.127 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.127 * [backup-simplify]: Simplify 0 into 0
6.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.129 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.130 * [backup-simplify]: Simplify (+ 0 0) into 0
6.130 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.130 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.131 * [backup-simplify]: Simplify (+ 0 0) into 0
6.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.135 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.136 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.136 * [backup-simplify]: Simplify (+ 0 0) into 0
6.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.138 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
6.138 * [taylor]: Taking taylor expansion of 0 in kx
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [taylor]: Taking taylor expansion of 0 in th
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [taylor]: Taking taylor expansion of 0 in th
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 0 into 0
6.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.140 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.141 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.142 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.142 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.143 * [backup-simplify]: Simplify (+ 0 0) into 0
6.143 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.144 * [backup-simplify]: Simplify (+ 0 0) into 0
6.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.146 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.148 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.150 * [backup-simplify]: Simplify (+ 0 0) into 0
6.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.152 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.153 * [backup-simplify]: Simplify (+ 0 0) into 0
6.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.155 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
6.155 * [taylor]: Taking taylor expansion of 0 in th
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify (* (* (sin (/ -1 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
6.156 * * * [progress]: simplifying candidates
6.160 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log1p (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt 1)
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt (pow 1 2.0))
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt 1)
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3)))
  (sqrt (+ (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0))))
  (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (/ 1 2)
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (expm1 (pow (sin ky) 2.0))
  (log1p (pow (sin ky) 2.0))
  (* (log (sin ky)) 2.0)
  (* (log (sin ky)) 2.0)
  (* 1 2.0)
  (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin ky) (sqrt 2.0))
  (pow (sin ky) 1)
  (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0)
  (pow (cbrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  (pow 1 2.0)
  (pow (sin ky) 2.0)
  (log (pow (sin ky) 2.0))
  (exp (pow (sin ky) 2.0))
  (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0)))
  (cbrt (pow (sin ky) 2.0))
  (* (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (pow (sin ky) (/ 2.0 2))
  (pow (sin ky) (/ 2.0 2))
  (expm1 (pow (sin kx) 2.0))
  (log1p (pow (sin kx) 2.0))
  (* (log (sin kx)) 2.0)
  (* (log (sin kx)) 2.0)
  (* 1 2.0)
  (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin kx) (sqrt 2.0))
  (pow (sin kx) 1)
  (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0)
  (pow (cbrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  (pow 1 2.0)
  (pow (sin kx) 2.0)
  (log (pow (sin kx) 2.0))
  (exp (pow (sin kx) 2.0))
  (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0)))
  (cbrt (pow (sin kx) 2.0))
  (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (pow (sin kx) (/ 2.0 2))
  (pow (sin kx) (/ 2.0 2))
  (expm1 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (log1p (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (+ (- (log (sin ky)) (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (log (sin th)))
  (+ (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (log (sin th)))
  (log (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (exp (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (* (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (* (sin th) (sin th)) (sin th)))
  (* (* (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (* (sin th) (sin th)) (sin th)))
  (* (cbrt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))) (cbrt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))))
  (cbrt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (* (* (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (sqrt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (sqrt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (* (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sin th)) (cbrt (sin th))))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sin th)))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 1)
  (* (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sin ky) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sin ky) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (/ 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th))
  (* (sqrt (+ (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (* (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin th))
  (* (sin ky) (sin th))
  (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4)))
  (pow (sin ky) 2.0)
  (pow (sin ky) 2.0)
  (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4)))
  (pow (sin kx) 2.0)
  (pow (sin kx) 2.0)
  0
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
6.164 * * [simplify]: iteration 0: 189 enodes
6.219 * * [simplify]: iteration 1: 456 enodes
6.459 * * [simplify]: iteration 2: 1321 enodes
7.694 * * [simplify]: iteration 3: 4224 enodes
8.662 * * [simplify]: iteration complete: 5000 enodes
8.662 * * [simplify]: Extracting #0: cost 87 inf + 0
8.663 * * [simplify]: Extracting #1: cost 537 inf + 4
8.668 * * [simplify]: Extracting #2: cost 1002 inf + 2937
8.680 * * [simplify]: Extracting #3: cost 752 inf + 76506
8.758 * * [simplify]: Extracting #4: cost 234 inf + 331085
8.854 * * [simplify]: Extracting #5: cost 15 inf + 486257
8.936 * * [simplify]: Extracting #6: cost 0 inf + 498027
9.067 * * [simplify]: Extracting #7: cost 0 inf + 497150
9.191 * * [simplify]: Extracting #8: cost 0 inf + 496737
9.299 * [simplify]: Simplified to:
  (expm1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log1p (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  1
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  1
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  1
  (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  (sqrt (fma (pow (sin kx) 2.0) (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (pow (sin ky) 2.0))))
  (sqrt (fma (- (pow (sin ky) 2.0) (pow (sin kx) 2.0)) (pow (sin ky) 2.0) (* (pow (sin kx) 2.0) (pow (sin kx) 2.0))))
  (sqrt (* (- (pow (sin kx) 2.0) (pow (sin ky) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
  1/2
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (expm1 (pow (sin ky) 2.0))
  (log1p (pow (sin ky) 2.0))
  (* 2.0 (log (sin ky)))
  (* 2.0 (log (sin ky)))
  2.0
  (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin ky) (sqrt 2.0))
  (sin ky)
  (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0)
  (pow (cbrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  (pow (sqrt (sin ky)) 2.0)
  1
  (pow (sin ky) 2.0)
  (* 2.0 (log (sin ky)))
  (exp (pow (sin ky) 2.0))
  (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0)))
  (cbrt (pow (sin ky) 2.0))
  (* (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (sqrt (pow (sin ky) 2.0))
  (pow (sin ky) (/ 2.0 2))
  (pow (sin ky) (/ 2.0 2))
  (expm1 (pow (sin kx) 2.0))
  (log1p (pow (sin kx) 2.0))
  (* 2.0 (log (sin kx)))
  (* 2.0 (log (sin kx)))
  2.0
  (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0)))
  (pow (sin kx) (sqrt 2.0))
  (sin kx)
  (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0)
  (pow (cbrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  (pow (sqrt (sin kx)) 2.0)
  1
  (pow (sin kx) 2.0)
  (* 2.0 (log (sin kx)))
  (exp (pow (sin kx) 2.0))
  (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0)))
  (cbrt (pow (sin kx) 2.0))
  (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (sqrt (pow (sin kx) 2.0))
  (pow (sin kx) (/ 2.0 2))
  (pow (sin kx) (/ 2.0 2))
  (expm1 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log1p (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (log (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (log (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (exp (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (cbrt (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (cbrt (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (sqrt (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin th)))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sin ky) (/ (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (sin th))) (cbrt (sin th))))
  (/ (sin ky) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (sin th))))
  (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (sin th) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (* (sin th) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (* (cbrt (sin ky)) (sin th)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (cbrt (sin ky)) (/ (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (* (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (/ (* (sin th) (cbrt (sin ky))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (sin th) (cbrt (sin ky))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (sin th) (cbrt (sin ky))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (/ (* (sin th) (cbrt (sin ky))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin th))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (/ (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (* (sin th) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (sin th) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (sin th) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (sqrt (sin ky)) (/ (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)))
  (* (sin th) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (sin ky) (sin th)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (/ (* (sin ky) (sin th)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))
  (* (sin th) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (sin th) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
  (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (sqrt (fma (- (pow (sin ky) 2.0) (pow (sin kx) 2.0)) (pow (sin ky) 2.0) (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)))) (sin th))
  (* (sin th) (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
  (* (sin ky) (sin th))
  (fma ky (- (* 1/12 (* kx kx)) (* (* ky 1/6) ky)) ky)
  (hypot (sin ky) (sin kx))
  (hypot (sin ky) (sin kx))
  (fma 0.3333333333333333 (- (* (* ky ky) (* ky ky))) (fma (* (* ky ky) (* (* ky ky) (* ky ky))) 0.04444444444444444 (* ky ky)))
  (pow (sin ky) 2.0)
  (pow (sin ky) 2.0)
  (- (fma 0.04444444444444444 (* (* kx (* kx kx)) (* kx (* kx kx))) (* kx kx)) (* (* (* kx kx) (* kx kx)) 0.3333333333333333))
  (pow (sin kx) 2.0)
  (pow (sin kx) 2.0)
  0
  (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))
  (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (* (sin ky) (sin th)))
9.308 * * * [progress]: adding candidates to table
10.433 * * [progress]: iteration 2 / 4
10.433 * * * [progress]: picking best candidate
10.602 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))>
10.602 * * * [progress]: localizing error
10.630 * * * [progress]: generating rewritten candidates
10.630 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
10.645 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
10.659 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
10.664 * * * [progress]: generating series expansions
10.664 * * * * [progress]: [ 1 / 3 ] generating series at (2)
10.664 * [backup-simplify]: Simplify (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
10.664 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (ky kx th) around 0
10.664 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
10.664 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
10.664 * [taylor]: Taking taylor expansion of (sin th) in th
10.664 * [taylor]: Taking taylor expansion of th in th
10.664 * [backup-simplify]: Simplify 0 into 0
10.664 * [backup-simplify]: Simplify 1 into 1
10.664 * [taylor]: Taking taylor expansion of (sin ky) in th
10.664 * [taylor]: Taking taylor expansion of ky in th
10.665 * [backup-simplify]: Simplify ky into ky
10.665 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.665 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.665 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
10.667 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.667 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
10.667 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
10.667 * [taylor]: Taking taylor expansion of (sin ky) in th
10.667 * [taylor]: Taking taylor expansion of ky in th
10.667 * [backup-simplify]: Simplify ky into ky
10.667 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.667 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.667 * [taylor]: Taking taylor expansion of (sin ky) in th
10.667 * [taylor]: Taking taylor expansion of ky in th
10.667 * [backup-simplify]: Simplify ky into ky
10.667 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.667 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.667 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
10.668 * [taylor]: Taking taylor expansion of (sin kx) in th
10.668 * [taylor]: Taking taylor expansion of kx in th
10.668 * [backup-simplify]: Simplify kx into kx
10.668 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.668 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.668 * [taylor]: Taking taylor expansion of (sin kx) in th
10.668 * [taylor]: Taking taylor expansion of kx in th
10.668 * [backup-simplify]: Simplify kx into kx
10.668 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.668 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.668 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.668 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.668 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.668 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.668 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.668 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.669 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.669 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.669 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.669 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.669 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.669 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.669 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.669 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.670 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
10.670 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
10.671 * [backup-simplify]: Simplify (+ 0) into 0
10.671 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.672 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.673 * [backup-simplify]: Simplify (+ 0 0) into 0
10.673 * [backup-simplify]: Simplify (+ 0) into 0
10.674 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.675 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.675 * [backup-simplify]: Simplify (+ 0 0) into 0
10.676 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.676 * [backup-simplify]: Simplify (+ 0) into 0
10.676 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.678 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.678 * [backup-simplify]: Simplify (+ 0 0) into 0
10.678 * [backup-simplify]: Simplify (+ 0) into 0
10.679 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.680 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.681 * [backup-simplify]: Simplify (+ 0 0) into 0
10.681 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.681 * [backup-simplify]: Simplify (+ 0 0) into 0
10.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
10.682 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.682 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.682 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.682 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
10.682 * [backup-simplify]: Simplify (+ 0) into 0
10.683 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.684 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.684 * [backup-simplify]: Simplify (+ 0 0) into 0
10.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
10.686 * [backup-simplify]: Simplify (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
10.686 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
10.686 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
10.686 * [taylor]: Taking taylor expansion of (sin th) in kx
10.686 * [taylor]: Taking taylor expansion of th in kx
10.686 * [backup-simplify]: Simplify th into th
10.686 * [backup-simplify]: Simplify (sin th) into (sin th)
10.686 * [backup-simplify]: Simplify (cos th) into (cos th)
10.686 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.686 * [taylor]: Taking taylor expansion of ky in kx
10.687 * [backup-simplify]: Simplify ky into ky
10.687 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.687 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.687 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
10.687 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.687 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
10.687 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
10.687 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.687 * [taylor]: Taking taylor expansion of ky in kx
10.687 * [backup-simplify]: Simplify ky into ky
10.687 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.687 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.687 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.687 * [taylor]: Taking taylor expansion of ky in kx
10.687 * [backup-simplify]: Simplify ky into ky
10.687 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.687 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.687 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
10.687 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.687 * [taylor]: Taking taylor expansion of kx in kx
10.687 * [backup-simplify]: Simplify 0 into 0
10.687 * [backup-simplify]: Simplify 1 into 1
10.687 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.687 * [taylor]: Taking taylor expansion of kx in kx
10.688 * [backup-simplify]: Simplify 0 into 0
10.688 * [backup-simplify]: Simplify 1 into 1
10.688 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.688 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.688 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.688 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.688 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.688 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.688 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.689 * [backup-simplify]: Simplify (* 0 0) into 0
10.689 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
10.690 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
10.690 * [backup-simplify]: Simplify (+ 0) into 0
10.691 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.692 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.692 * [backup-simplify]: Simplify (+ 0 0) into 0
10.693 * [backup-simplify]: Simplify (+ 0) into 0
10.693 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.694 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.695 * [backup-simplify]: Simplify (+ 0 0) into 0
10.695 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.697 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.697 * [backup-simplify]: Simplify (+ 0 0) into 0
10.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
10.698 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.698 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.698 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.698 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.698 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.698 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.698 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
10.698 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
10.698 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
10.698 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
10.698 * [taylor]: Taking taylor expansion of (sin th) in ky
10.699 * [taylor]: Taking taylor expansion of th in ky
10.699 * [backup-simplify]: Simplify th into th
10.699 * [backup-simplify]: Simplify (sin th) into (sin th)
10.699 * [backup-simplify]: Simplify (cos th) into (cos th)
10.699 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.699 * [taylor]: Taking taylor expansion of ky in ky
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify 1 into 1
10.699 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
10.699 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.699 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
10.699 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
10.699 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.699 * [taylor]: Taking taylor expansion of ky in ky
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify 1 into 1
10.699 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.699 * [taylor]: Taking taylor expansion of ky in ky
10.699 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify 1 into 1
10.699 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
10.699 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.699 * [taylor]: Taking taylor expansion of kx in ky
10.699 * [backup-simplify]: Simplify kx into kx
10.699 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.700 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.700 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.700 * [taylor]: Taking taylor expansion of kx in ky
10.700 * [backup-simplify]: Simplify kx into kx
10.700 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.700 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.700 * [backup-simplify]: Simplify (* 0 0) into 0
10.700 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.700 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.700 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.701 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.701 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.701 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.701 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.701 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.701 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
10.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.703 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.703 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.704 * [backup-simplify]: Simplify (+ 0) into 0
10.704 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.705 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.705 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.706 * [backup-simplify]: Simplify (+ 0 0) into 0
10.706 * [backup-simplify]: Simplify (+ 0) into 0
10.707 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.708 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.708 * [backup-simplify]: Simplify (+ 0 0) into 0
10.709 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.709 * [backup-simplify]: Simplify (+ 0 0) into 0
10.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
10.709 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.709 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.709 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.710 * [backup-simplify]: Simplify (* (sin th) 0) into 0
10.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.711 * [backup-simplify]: Simplify (+ 0) into 0
10.711 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
10.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.713 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
10.713 * [backup-simplify]: Simplify (+ 0 0) into 0
10.714 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
10.714 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
10.714 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
10.714 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
10.714 * [taylor]: Taking taylor expansion of (sin th) in ky
10.714 * [taylor]: Taking taylor expansion of th in ky
10.714 * [backup-simplify]: Simplify th into th
10.714 * [backup-simplify]: Simplify (sin th) into (sin th)
10.714 * [backup-simplify]: Simplify (cos th) into (cos th)
10.714 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.714 * [taylor]: Taking taylor expansion of ky in ky
10.714 * [backup-simplify]: Simplify 0 into 0
10.714 * [backup-simplify]: Simplify 1 into 1
10.714 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
10.714 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.714 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
10.714 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
10.714 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.714 * [taylor]: Taking taylor expansion of ky in ky
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 1 into 1
10.715 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.715 * [taylor]: Taking taylor expansion of ky in ky
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 1 into 1
10.715 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
10.715 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.715 * [taylor]: Taking taylor expansion of kx in ky
10.715 * [backup-simplify]: Simplify kx into kx
10.715 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.715 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.715 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.715 * [taylor]: Taking taylor expansion of kx in ky
10.715 * [backup-simplify]: Simplify kx into kx
10.715 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.715 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.716 * [backup-simplify]: Simplify (* 0 0) into 0
10.716 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.716 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.716 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.716 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.716 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.716 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.716 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.716 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.717 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
10.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.719 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.719 * [backup-simplify]: Simplify (+ 0) into 0
10.720 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.721 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.721 * [backup-simplify]: Simplify (+ 0 0) into 0
10.722 * [backup-simplify]: Simplify (+ 0) into 0
10.722 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.723 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.724 * [backup-simplify]: Simplify (+ 0 0) into 0
10.724 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.724 * [backup-simplify]: Simplify (+ 0 0) into 0
10.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
10.725 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.725 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.725 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.725 * [backup-simplify]: Simplify (* (sin th) 0) into 0
10.726 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.726 * [backup-simplify]: Simplify (+ 0) into 0
10.727 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
10.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.728 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
10.728 * [backup-simplify]: Simplify (+ 0 0) into 0
10.729 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
10.729 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
10.729 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
10.729 * [taylor]: Taking taylor expansion of (sin th) in kx
10.729 * [taylor]: Taking taylor expansion of th in kx
10.729 * [backup-simplify]: Simplify th into th
10.729 * [backup-simplify]: Simplify (sin th) into (sin th)
10.729 * [backup-simplify]: Simplify (cos th) into (cos th)
10.729 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.729 * [taylor]: Taking taylor expansion of kx in kx
10.729 * [backup-simplify]: Simplify 0 into 0
10.729 * [backup-simplify]: Simplify 1 into 1
10.729 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.729 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.730 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.730 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
10.731 * [backup-simplify]: Simplify (+ 0) into 0
10.731 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
10.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.733 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
10.733 * [backup-simplify]: Simplify (+ 0 0) into 0
10.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
10.735 * [taylor]: Taking taylor expansion of 0 in th
10.735 * [backup-simplify]: Simplify 0 into 0
10.735 * [backup-simplify]: Simplify 0 into 0
10.736 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.737 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
10.738 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.739 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
10.739 * [backup-simplify]: Simplify (+ 0 0) into 0
10.740 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
10.740 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
10.740 * [taylor]: Taking taylor expansion of 0 in kx
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [taylor]: Taking taylor expansion of 0 in th
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 0 into 0
10.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.742 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
10.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.743 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
10.744 * [backup-simplify]: Simplify (+ 0 0) into 0
10.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
10.747 * [taylor]: Taking taylor expansion of (* 1/6 (sin th)) in th
10.747 * [taylor]: Taking taylor expansion of 1/6 in th
10.747 * [backup-simplify]: Simplify 1/6 into 1/6
10.747 * [taylor]: Taking taylor expansion of (sin th) in th
10.747 * [taylor]: Taking taylor expansion of th in th
10.747 * [backup-simplify]: Simplify 0 into 0
10.747 * [backup-simplify]: Simplify 1 into 1
10.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.749 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
10.749 * [backup-simplify]: Simplify 1/6 into 1/6
10.749 * [backup-simplify]: Simplify 0 into 0
10.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.752 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.755 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.755 * [backup-simplify]: Simplify (+ 0 0) into 0
10.756 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
10.757 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.758 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
10.759 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.760 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.761 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.762 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.762 * [backup-simplify]: Simplify (+ 0 0) into 0
10.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.764 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.766 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.766 * [backup-simplify]: Simplify (+ 0 0) into 0
10.767 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
10.767 * [backup-simplify]: Simplify (+ 1 0) into 1
10.768 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
10.769 * [backup-simplify]: Simplify (- (/ (- (* 1/6 (sin th))) (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))))
10.769 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx))))) in kx
10.769 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))) in kx
10.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sin th) (pow (sin kx) 3))) in kx
10.769 * [taylor]: Taking taylor expansion of 1/2 in kx
10.769 * [backup-simplify]: Simplify 1/2 into 1/2
10.769 * [taylor]: Taking taylor expansion of (/ (sin th) (pow (sin kx) 3)) in kx
10.769 * [taylor]: Taking taylor expansion of (sin th) in kx
10.769 * [taylor]: Taking taylor expansion of th in kx
10.769 * [backup-simplify]: Simplify th into th
10.769 * [backup-simplify]: Simplify (sin th) into (sin th)
10.769 * [backup-simplify]: Simplify (cos th) into (cos th)
10.769 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
10.769 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.770 * [taylor]: Taking taylor expansion of kx in kx
10.770 * [backup-simplify]: Simplify 0 into 0
10.770 * [backup-simplify]: Simplify 1 into 1
10.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.771 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.771 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.771 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.771 * [backup-simplify]: Simplify (* 1 1) into 1
10.772 * [backup-simplify]: Simplify (* 1 1) into 1
10.772 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
10.772 * [taylor]: Taking taylor expansion of (* 1/6 (/ (sin th) (sin kx))) in kx
10.772 * [taylor]: Taking taylor expansion of 1/6 in kx
10.772 * [backup-simplify]: Simplify 1/6 into 1/6
10.772 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
10.772 * [taylor]: Taking taylor expansion of (sin th) in kx
10.772 * [taylor]: Taking taylor expansion of th in kx
10.772 * [backup-simplify]: Simplify th into th
10.772 * [backup-simplify]: Simplify (sin th) into (sin th)
10.772 * [backup-simplify]: Simplify (cos th) into (cos th)
10.772 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.772 * [taylor]: Taking taylor expansion of kx in kx
10.772 * [backup-simplify]: Simplify 0 into 0
10.772 * [backup-simplify]: Simplify 1 into 1
10.772 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.772 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.773 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.773 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
10.774 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.775 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.776 * [backup-simplify]: Simplify (+ 0) into 0
10.777 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.779 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.781 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.781 * [backup-simplify]: Simplify (+ 0 0) into 0
10.783 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
10.787 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
10.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
10.790 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
10.791 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
10.791 * [backup-simplify]: Simplify (+ 0 0) into 0
10.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
10.794 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
10.794 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
10.795 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
10.795 * [backup-simplify]: Simplify (+ 0 0) into 0
10.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sin th))
10.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sin th)) (/ 0 1)))) into 0
10.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 1/2 (sin th))) (+ (* 0 0) (* 0 (sin th))))) into 0
10.800 * [backup-simplify]: Simplify (+ 0) into 0
10.801 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
10.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.802 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
10.803 * [backup-simplify]: Simplify (+ 0 0) into 0
10.804 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
10.805 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (sin th))) into 0
10.805 * [backup-simplify]: Simplify (+ 0 0) into 0
10.806 * [backup-simplify]: Simplify (- 0) into 0
10.806 * [taylor]: Taking taylor expansion of 0 in th
10.806 * [backup-simplify]: Simplify 0 into 0
10.806 * [backup-simplify]: Simplify 0 into 0
10.806 * [taylor]: Taking taylor expansion of 0 in th
10.806 * [backup-simplify]: Simplify 0 into 0
10.806 * [backup-simplify]: Simplify 0 into 0
10.807 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.808 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.815 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.815 * [backup-simplify]: Simplify (+ 0 0) into 0
10.817 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)) (* 0 (/ -1/6 1)) (* (* 1/6 (sin th)) (/ 0 1)))) into 0
10.819 * [taylor]: Taking taylor expansion of 0 in th
10.819 * [backup-simplify]: Simplify 0 into 0
10.819 * [backup-simplify]: Simplify 0 into 0
10.819 * [backup-simplify]: Simplify 0 into 0
10.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.821 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
10.821 * [backup-simplify]: Simplify 0 into 0
10.821 * [backup-simplify]: Simplify (* 1/6 (* th (* kx ky))) into (* 1/6 (* kx (* ky th)))
10.822 * [backup-simplify]: Simplify (* (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) (sin (/ 1 th))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
10.822 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx th) around 0
10.822 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
10.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
10.822 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
10.822 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.822 * [taylor]: Taking taylor expansion of th in th
10.822 * [backup-simplify]: Simplify 0 into 0
10.822 * [backup-simplify]: Simplify 1 into 1
10.822 * [backup-simplify]: Simplify (/ 1 1) into 1
10.823 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.823 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.823 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.823 * [taylor]: Taking taylor expansion of ky in th
10.823 * [backup-simplify]: Simplify ky into ky
10.823 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.823 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.823 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.823 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
10.823 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.823 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
10.823 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
10.823 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.823 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.823 * [taylor]: Taking taylor expansion of ky in th
10.823 * [backup-simplify]: Simplify ky into ky
10.823 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.824 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.824 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.824 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.824 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.824 * [taylor]: Taking taylor expansion of ky in th
10.824 * [backup-simplify]: Simplify ky into ky
10.824 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.824 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.824 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.824 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
10.824 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.824 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.824 * [taylor]: Taking taylor expansion of kx in th
10.824 * [backup-simplify]: Simplify kx into kx
10.824 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.824 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.824 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.824 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.824 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.824 * [taylor]: Taking taylor expansion of kx in th
10.824 * [backup-simplify]: Simplify kx into kx
10.825 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.825 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.825 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.825 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.825 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.825 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.825 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.825 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.825 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.826 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.826 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.826 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.826 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.826 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.826 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.826 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.826 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.827 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.827 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.828 * [backup-simplify]: Simplify (+ 0) into 0
10.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.829 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.830 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.830 * [backup-simplify]: Simplify (+ 0 0) into 0
10.831 * [backup-simplify]: Simplify (+ 0) into 0
10.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.833 * [backup-simplify]: Simplify (+ 0 0) into 0
10.833 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.834 * [backup-simplify]: Simplify (+ 0) into 0
10.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.836 * [backup-simplify]: Simplify (+ 0 0) into 0
10.836 * [backup-simplify]: Simplify (+ 0) into 0
10.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.837 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.837 * [backup-simplify]: Simplify (+ 0 0) into 0
10.838 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.838 * [backup-simplify]: Simplify (+ 0 0) into 0
10.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.838 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.838 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.838 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.838 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.839 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.839 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
10.839 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
10.839 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
10.839 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
10.839 * [taylor]: Taking taylor expansion of th in kx
10.839 * [backup-simplify]: Simplify th into th
10.839 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.839 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.839 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.839 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.839 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.839 * [taylor]: Taking taylor expansion of ky in kx
10.839 * [backup-simplify]: Simplify ky into ky
10.839 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.839 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.839 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.839 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
10.839 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.839 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
10.839 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
10.839 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.839 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.839 * [taylor]: Taking taylor expansion of ky in kx
10.839 * [backup-simplify]: Simplify ky into ky
10.839 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.839 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.839 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.840 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.840 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.840 * [taylor]: Taking taylor expansion of ky in kx
10.840 * [backup-simplify]: Simplify ky into ky
10.840 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.840 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.840 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.840 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
10.840 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.840 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.840 * [taylor]: Taking taylor expansion of kx in kx
10.840 * [backup-simplify]: Simplify 0 into 0
10.840 * [backup-simplify]: Simplify 1 into 1
10.840 * [backup-simplify]: Simplify (/ 1 1) into 1
10.840 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.840 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.840 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.840 * [taylor]: Taking taylor expansion of kx in kx
10.840 * [backup-simplify]: Simplify 0 into 0
10.840 * [backup-simplify]: Simplify 1 into 1
10.840 * [backup-simplify]: Simplify (/ 1 1) into 1
10.841 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.841 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.841 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.841 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.841 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.841 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.841 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.841 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.841 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.841 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.842 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.842 * [backup-simplify]: Simplify (+ 0) into 0
10.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.843 * [backup-simplify]: Simplify (+ 0 0) into 0
10.844 * [backup-simplify]: Simplify (+ 0) into 0
10.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.845 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.845 * [backup-simplify]: Simplify (+ 0 0) into 0
10.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.845 * [backup-simplify]: Simplify (+ 0 0) into 0
10.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.846 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.846 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.846 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.846 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.846 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.846 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.846 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.846 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.847 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
10.847 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.847 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.847 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.847 * [taylor]: Taking taylor expansion of th in ky
10.847 * [backup-simplify]: Simplify th into th
10.847 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.847 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.847 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.847 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.847 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.847 * [taylor]: Taking taylor expansion of ky in ky
10.847 * [backup-simplify]: Simplify 0 into 0
10.847 * [backup-simplify]: Simplify 1 into 1
10.847 * [backup-simplify]: Simplify (/ 1 1) into 1
10.847 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.847 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
10.847 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.847 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
10.847 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.847 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.847 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.847 * [taylor]: Taking taylor expansion of ky in ky
10.847 * [backup-simplify]: Simplify 0 into 0
10.847 * [backup-simplify]: Simplify 1 into 1
10.848 * [backup-simplify]: Simplify (/ 1 1) into 1
10.848 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.848 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.848 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.848 * [taylor]: Taking taylor expansion of ky in ky
10.848 * [backup-simplify]: Simplify 0 into 0
10.848 * [backup-simplify]: Simplify 1 into 1
10.848 * [backup-simplify]: Simplify (/ 1 1) into 1
10.848 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.848 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.848 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.848 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.848 * [taylor]: Taking taylor expansion of kx in ky
10.848 * [backup-simplify]: Simplify kx into kx
10.848 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.848 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.848 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.848 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.848 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.848 * [taylor]: Taking taylor expansion of kx in ky
10.848 * [backup-simplify]: Simplify kx into kx
10.848 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.848 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.849 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.849 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.849 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.849 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.849 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.849 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.849 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.849 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.849 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.849 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.849 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.850 * [backup-simplify]: Simplify (+ 0) into 0
10.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.851 * [backup-simplify]: Simplify (+ 0 0) into 0
10.852 * [backup-simplify]: Simplify (+ 0) into 0
10.852 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.853 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.853 * [backup-simplify]: Simplify (+ 0 0) into 0
10.853 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.853 * [backup-simplify]: Simplify (+ 0 0) into 0
10.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.854 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.854 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.854 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.854 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.854 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.854 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
10.854 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.854 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.854 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.854 * [taylor]: Taking taylor expansion of th in ky
10.854 * [backup-simplify]: Simplify th into th
10.854 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.854 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.855 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.855 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.855 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.855 * [taylor]: Taking taylor expansion of ky in ky
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify 1 into 1
10.855 * [backup-simplify]: Simplify (/ 1 1) into 1
10.855 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.855 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
10.855 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.855 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
10.855 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.855 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.855 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.855 * [taylor]: Taking taylor expansion of ky in ky
10.855 * [backup-simplify]: Simplify 0 into 0
10.855 * [backup-simplify]: Simplify 1 into 1
10.855 * [backup-simplify]: Simplify (/ 1 1) into 1
10.856 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.856 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.856 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.856 * [taylor]: Taking taylor expansion of ky in ky
10.856 * [backup-simplify]: Simplify 0 into 0
10.856 * [backup-simplify]: Simplify 1 into 1
10.856 * [backup-simplify]: Simplify (/ 1 1) into 1
10.856 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.856 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.856 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.856 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.856 * [taylor]: Taking taylor expansion of kx in ky
10.856 * [backup-simplify]: Simplify kx into kx
10.856 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.856 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.856 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.856 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.856 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.856 * [taylor]: Taking taylor expansion of kx in ky
10.856 * [backup-simplify]: Simplify kx into kx
10.856 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.856 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.856 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.856 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.856 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.857 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.857 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.857 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.857 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.857 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.857 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.857 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.857 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.858 * [backup-simplify]: Simplify (+ 0) into 0
10.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.859 * [backup-simplify]: Simplify (+ 0 0) into 0
10.859 * [backup-simplify]: Simplify (+ 0) into 0
10.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.861 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.861 * [backup-simplify]: Simplify (+ 0 0) into 0
10.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.861 * [backup-simplify]: Simplify (+ 0 0) into 0
10.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.862 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.862 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.862 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.862 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.862 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.862 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
10.862 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
10.862 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
10.862 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
10.862 * [taylor]: Taking taylor expansion of th in kx
10.862 * [backup-simplify]: Simplify th into th
10.862 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.862 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.862 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.862 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.862 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.862 * [taylor]: Taking taylor expansion of ky in kx
10.862 * [backup-simplify]: Simplify ky into ky
10.862 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.862 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.863 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
10.863 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
10.863 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
10.863 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
10.863 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.863 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.863 * [taylor]: Taking taylor expansion of kx in kx
10.863 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify 1 into 1
10.863 * [backup-simplify]: Simplify (/ 1 1) into 1
10.863 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.863 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
10.863 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.863 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.863 * [taylor]: Taking taylor expansion of ky in kx
10.863 * [backup-simplify]: Simplify ky into ky
10.863 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.863 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.863 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.863 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.863 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.864 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.864 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.864 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.864 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.865 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.865 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
10.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.866 * [backup-simplify]: Simplify (+ 0) into 0
10.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.869 * [backup-simplify]: Simplify (+ 0 0) into 0
10.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.869 * [backup-simplify]: Simplify (+ 0 0) into 0
10.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.871 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.871 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.871 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.871 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.871 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.871 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.872 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.872 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.872 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in th
10.872 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
10.872 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
10.872 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.872 * [taylor]: Taking taylor expansion of th in th
10.872 * [backup-simplify]: Simplify 0 into 0
10.872 * [backup-simplify]: Simplify 1 into 1
10.873 * [backup-simplify]: Simplify (/ 1 1) into 1
10.873 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.873 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.873 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.873 * [taylor]: Taking taylor expansion of ky in th
10.873 * [backup-simplify]: Simplify ky into ky
10.873 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.873 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.873 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
10.874 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
10.874 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
10.874 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
10.874 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.874 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.874 * [taylor]: Taking taylor expansion of kx in th
10.874 * [backup-simplify]: Simplify kx into kx
10.874 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.874 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.874 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.874 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.874 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.874 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.874 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
10.874 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.874 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.874 * [taylor]: Taking taylor expansion of ky in th
10.874 * [backup-simplify]: Simplify ky into ky
10.875 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.875 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.875 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.875 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.875 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.875 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.875 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.875 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.876 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.876 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.877 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
10.877 * [backup-simplify]: Simplify (+ 0) into 0
10.878 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.879 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.880 * [backup-simplify]: Simplify (+ 0 0) into 0
10.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.880 * [backup-simplify]: Simplify (+ 0) into 0
10.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.883 * [backup-simplify]: Simplify (+ 0 0) into 0
10.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.884 * [backup-simplify]: Simplify (+ 0 0) into 0
10.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.885 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.885 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.885 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.885 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.886 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.886 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.887 * [backup-simplify]: Simplify (+ 0) into 0
10.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.889 * [backup-simplify]: Simplify (+ 0 0) into 0
10.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.891 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
10.891 * [taylor]: Taking taylor expansion of 0 in kx
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [taylor]: Taking taylor expansion of 0 in th
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify (+ 0) into 0
10.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.894 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.894 * [backup-simplify]: Simplify (+ 0 0) into 0
10.895 * [backup-simplify]: Simplify (+ 0) into 0
10.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.897 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.897 * [backup-simplify]: Simplify (+ 0 0) into 0
10.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.898 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.898 * [taylor]: Taking taylor expansion of 0 in th
10.898 * [backup-simplify]: Simplify 0 into 0
10.898 * [backup-simplify]: Simplify 0 into 0
10.899 * [backup-simplify]: Simplify (+ 0) into 0
10.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.901 * [backup-simplify]: Simplify (+ 0 0) into 0
10.901 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.902 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.902 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
10.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
10.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
10.906 * [backup-simplify]: Simplify (+ 0 0) into 0
10.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.907 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.909 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.910 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.910 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.911 * [backup-simplify]: Simplify (+ 0 0) into 0
10.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.912 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.913 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.914 * [backup-simplify]: Simplify (+ 0 0) into 0
10.915 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.915 * [backup-simplify]: Simplify (+ 0 0) into 0
10.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.918 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
10.918 * [taylor]: Taking taylor expansion of 0 in kx
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [taylor]: Taking taylor expansion of 0 in th
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [taylor]: Taking taylor expansion of 0 in th
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [backup-simplify]: Simplify 0 into 0
10.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
10.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.923 * [backup-simplify]: Simplify (+ 0 0) into 0
10.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.924 * [backup-simplify]: Simplify (+ 0 0) into 0
10.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.926 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.930 * [backup-simplify]: Simplify (+ 0 0) into 0
10.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
10.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
10.933 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.933 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
10.934 * [backup-simplify]: Simplify (+ 0 0) into 0
10.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.935 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
10.935 * [taylor]: Taking taylor expansion of 0 in th
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify 0 into 0
10.936 * [backup-simplify]: Simplify (* (* (sin (/ 1 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
10.936 * [backup-simplify]: Simplify (* (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) (sin (/ 1 (- th)))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
10.936 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx th) around 0
10.936 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
10.937 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
10.937 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
10.937 * [taylor]: Taking taylor expansion of (/ -1 th) in th
10.937 * [taylor]: Taking taylor expansion of -1 in th
10.937 * [backup-simplify]: Simplify -1 into -1
10.937 * [taylor]: Taking taylor expansion of th in th
10.937 * [backup-simplify]: Simplify 0 into 0
10.937 * [backup-simplify]: Simplify 1 into 1
10.937 * [backup-simplify]: Simplify (/ -1 1) into -1
10.937 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.937 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.937 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.937 * [taylor]: Taking taylor expansion of -1 in th
10.938 * [backup-simplify]: Simplify -1 into -1
10.938 * [taylor]: Taking taylor expansion of ky in th
10.938 * [backup-simplify]: Simplify ky into ky
10.938 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.938 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.938 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.938 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
10.938 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
10.938 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
10.938 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
10.938 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.938 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.938 * [taylor]: Taking taylor expansion of -1 in th
10.938 * [backup-simplify]: Simplify -1 into -1
10.938 * [taylor]: Taking taylor expansion of ky in th
10.938 * [backup-simplify]: Simplify ky into ky
10.938 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.939 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.939 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.939 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.939 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.939 * [taylor]: Taking taylor expansion of -1 in th
10.939 * [backup-simplify]: Simplify -1 into -1
10.939 * [taylor]: Taking taylor expansion of ky in th
10.939 * [backup-simplify]: Simplify ky into ky
10.939 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.939 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.939 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.939 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
10.939 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
10.939 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
10.939 * [taylor]: Taking taylor expansion of -1 in th
10.939 * [backup-simplify]: Simplify -1 into -1
10.939 * [taylor]: Taking taylor expansion of kx in th
10.939 * [backup-simplify]: Simplify kx into kx
10.939 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.939 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.940 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.940 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
10.940 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
10.940 * [taylor]: Taking taylor expansion of -1 in th
10.940 * [backup-simplify]: Simplify -1 into -1
10.940 * [taylor]: Taking taylor expansion of kx in th
10.940 * [backup-simplify]: Simplify kx into kx
10.940 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.940 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.940 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.940 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.940 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.940 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.940 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.940 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.941 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.941 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.941 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.941 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.941 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.941 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.941 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.941 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.942 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.942 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.942 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.943 * [backup-simplify]: Simplify (+ 0) into 0
10.943 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.944 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.946 * [backup-simplify]: Simplify (+ 0 0) into 0
10.946 * [backup-simplify]: Simplify (+ 0) into 0
10.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.947 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.948 * [backup-simplify]: Simplify (+ 0 0) into 0
10.948 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.949 * [backup-simplify]: Simplify (+ 0) into 0
10.949 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.950 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.951 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.951 * [backup-simplify]: Simplify (+ 0 0) into 0
10.952 * [backup-simplify]: Simplify (+ 0) into 0
10.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.952 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.954 * [backup-simplify]: Simplify (+ 0 0) into 0
10.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.955 * [backup-simplify]: Simplify (+ 0 0) into 0
10.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.955 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.955 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.955 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.956 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.956 * [backup-simplify]: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
10.956 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
10.956 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
10.956 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
10.956 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
10.956 * [taylor]: Taking taylor expansion of -1 in kx
10.956 * [backup-simplify]: Simplify -1 into -1
10.956 * [taylor]: Taking taylor expansion of th in kx
10.956 * [backup-simplify]: Simplify th into th
10.956 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.957 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.957 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.957 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.957 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.957 * [taylor]: Taking taylor expansion of -1 in kx
10.957 * [backup-simplify]: Simplify -1 into -1
10.957 * [taylor]: Taking taylor expansion of ky in kx
10.957 * [backup-simplify]: Simplify ky into ky
10.957 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.957 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.957 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.957 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
10.957 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
10.957 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
10.957 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
10.957 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.957 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.957 * [taylor]: Taking taylor expansion of -1 in kx
10.957 * [backup-simplify]: Simplify -1 into -1
10.957 * [taylor]: Taking taylor expansion of ky in kx
10.957 * [backup-simplify]: Simplify ky into ky
10.957 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.958 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.958 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.958 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.958 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.958 * [taylor]: Taking taylor expansion of -1 in kx
10.958 * [backup-simplify]: Simplify -1 into -1
10.958 * [taylor]: Taking taylor expansion of ky in kx
10.958 * [backup-simplify]: Simplify ky into ky
10.958 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.958 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.958 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.958 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
10.958 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.958 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.958 * [taylor]: Taking taylor expansion of -1 in kx
10.958 * [backup-simplify]: Simplify -1 into -1
10.958 * [taylor]: Taking taylor expansion of kx in kx
10.958 * [backup-simplify]: Simplify 0 into 0
10.958 * [backup-simplify]: Simplify 1 into 1
10.959 * [backup-simplify]: Simplify (/ -1 1) into -1
10.959 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.959 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.959 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.959 * [taylor]: Taking taylor expansion of -1 in kx
10.959 * [backup-simplify]: Simplify -1 into -1
10.959 * [taylor]: Taking taylor expansion of kx in kx
10.959 * [backup-simplify]: Simplify 0 into 0
10.959 * [backup-simplify]: Simplify 1 into 1
10.959 * [backup-simplify]: Simplify (/ -1 1) into -1
10.960 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.960 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.960 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.960 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.960 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.960 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.960 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.960 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.960 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.960 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.961 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.961 * [backup-simplify]: Simplify (+ 0) into 0
10.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.961 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.962 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.962 * [backup-simplify]: Simplify (+ 0 0) into 0
10.963 * [backup-simplify]: Simplify (+ 0) into 0
10.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.963 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.964 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.964 * [backup-simplify]: Simplify (+ 0 0) into 0
10.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.964 * [backup-simplify]: Simplify (+ 0 0) into 0
10.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.965 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.965 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.965 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.965 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.965 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.965 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.965 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.965 * [backup-simplify]: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
10.966 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
10.966 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
10.966 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
10.966 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
10.966 * [taylor]: Taking taylor expansion of -1 in ky
10.966 * [backup-simplify]: Simplify -1 into -1
10.966 * [taylor]: Taking taylor expansion of th in ky
10.966 * [backup-simplify]: Simplify th into th
10.966 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.966 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.966 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.966 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.966 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.966 * [taylor]: Taking taylor expansion of -1 in ky
10.966 * [backup-simplify]: Simplify -1 into -1
10.966 * [taylor]: Taking taylor expansion of ky in ky
10.966 * [backup-simplify]: Simplify 0 into 0
10.966 * [backup-simplify]: Simplify 1 into 1
10.966 * [backup-simplify]: Simplify (/ -1 1) into -1
10.966 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.966 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
10.966 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
10.966 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
10.966 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
10.966 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.966 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.966 * [taylor]: Taking taylor expansion of -1 in ky
10.966 * [backup-simplify]: Simplify -1 into -1
10.966 * [taylor]: Taking taylor expansion of ky in ky
10.966 * [backup-simplify]: Simplify 0 into 0
10.966 * [backup-simplify]: Simplify 1 into 1
10.968 * [backup-simplify]: Simplify (/ -1 1) into -1
10.968 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.968 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.968 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.968 * [taylor]: Taking taylor expansion of -1 in ky
10.968 * [backup-simplify]: Simplify -1 into -1
10.968 * [taylor]: Taking taylor expansion of ky in ky
10.968 * [backup-simplify]: Simplify 0 into 0
10.968 * [backup-simplify]: Simplify 1 into 1
10.969 * [backup-simplify]: Simplify (/ -1 1) into -1
10.969 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.969 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
10.969 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.969 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.969 * [taylor]: Taking taylor expansion of -1 in ky
10.969 * [backup-simplify]: Simplify -1 into -1
10.969 * [taylor]: Taking taylor expansion of kx in ky
10.969 * [backup-simplify]: Simplify kx into kx
10.969 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.969 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.969 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.969 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.969 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.969 * [taylor]: Taking taylor expansion of -1 in ky
10.969 * [backup-simplify]: Simplify -1 into -1
10.969 * [taylor]: Taking taylor expansion of kx in ky
10.969 * [backup-simplify]: Simplify kx into kx
10.969 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.969 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.969 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.969 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.969 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.969 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.969 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.970 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.970 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.970 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.970 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.970 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.970 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.971 * [backup-simplify]: Simplify (+ 0) into 0
10.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.971 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.972 * [backup-simplify]: Simplify (+ 0 0) into 0
10.973 * [backup-simplify]: Simplify (+ 0) into 0
10.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.973 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.974 * [backup-simplify]: Simplify (+ 0 0) into 0
10.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.974 * [backup-simplify]: Simplify (+ 0 0) into 0
10.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.975 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.975 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.975 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.975 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.975 * [backup-simplify]: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
10.975 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
10.975 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
10.975 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
10.975 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
10.975 * [taylor]: Taking taylor expansion of -1 in ky
10.975 * [backup-simplify]: Simplify -1 into -1
10.975 * [taylor]: Taking taylor expansion of th in ky
10.975 * [backup-simplify]: Simplify th into th
10.975 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.975 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.975 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.976 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.976 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.976 * [taylor]: Taking taylor expansion of -1 in ky
10.976 * [backup-simplify]: Simplify -1 into -1
10.976 * [taylor]: Taking taylor expansion of ky in ky
10.976 * [backup-simplify]: Simplify 0 into 0
10.976 * [backup-simplify]: Simplify 1 into 1
10.976 * [backup-simplify]: Simplify (/ -1 1) into -1
10.976 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.976 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
10.976 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
10.976 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
10.976 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
10.976 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.976 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.976 * [taylor]: Taking taylor expansion of -1 in ky
10.976 * [backup-simplify]: Simplify -1 into -1
10.976 * [taylor]: Taking taylor expansion of ky in ky
10.976 * [backup-simplify]: Simplify 0 into 0
10.976 * [backup-simplify]: Simplify 1 into 1
10.977 * [backup-simplify]: Simplify (/ -1 1) into -1
10.977 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.977 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
10.977 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
10.977 * [taylor]: Taking taylor expansion of -1 in ky
10.977 * [backup-simplify]: Simplify -1 into -1
10.977 * [taylor]: Taking taylor expansion of ky in ky
10.977 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify 1 into 1
10.977 * [backup-simplify]: Simplify (/ -1 1) into -1
10.977 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.977 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
10.977 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.977 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.977 * [taylor]: Taking taylor expansion of -1 in ky
10.977 * [backup-simplify]: Simplify -1 into -1
10.977 * [taylor]: Taking taylor expansion of kx in ky
10.977 * [backup-simplify]: Simplify kx into kx
10.977 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.977 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.977 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.977 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
10.977 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
10.977 * [taylor]: Taking taylor expansion of -1 in ky
10.977 * [backup-simplify]: Simplify -1 into -1
10.977 * [taylor]: Taking taylor expansion of kx in ky
10.977 * [backup-simplify]: Simplify kx into kx
10.977 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.977 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.978 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.978 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.978 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.978 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.978 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.978 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.978 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.978 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.978 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.978 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.979 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.979 * [backup-simplify]: Simplify (+ 0) into 0
10.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.979 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.980 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.980 * [backup-simplify]: Simplify (+ 0 0) into 0
10.981 * [backup-simplify]: Simplify (+ 0) into 0
10.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.981 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.982 * [backup-simplify]: Simplify (+ 0 0) into 0
10.982 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.982 * [backup-simplify]: Simplify (+ 0 0) into 0
10.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
10.983 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.983 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.983 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.983 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.983 * [backup-simplify]: Simplify (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
10.983 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
10.983 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
10.983 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
10.984 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
10.984 * [taylor]: Taking taylor expansion of -1 in kx
10.984 * [backup-simplify]: Simplify -1 into -1
10.984 * [taylor]: Taking taylor expansion of th in kx
10.984 * [backup-simplify]: Simplify th into th
10.984 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
10.984 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.984 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
10.984 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.984 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.984 * [taylor]: Taking taylor expansion of -1 in kx
10.984 * [backup-simplify]: Simplify -1 into -1
10.984 * [taylor]: Taking taylor expansion of ky in kx
10.984 * [backup-simplify]: Simplify ky into ky
10.984 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.984 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.984 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
10.984 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
10.984 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
10.984 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
10.984 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
10.984 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
10.984 * [taylor]: Taking taylor expansion of -1 in kx
10.984 * [backup-simplify]: Simplify -1 into -1
10.984 * [taylor]: Taking taylor expansion of kx in kx
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify 1 into 1
10.984 * [backup-simplify]: Simplify (/ -1 1) into -1
10.985 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.985 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
10.985 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
10.985 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
10.985 * [taylor]: Taking taylor expansion of -1 in kx
10.985 * [backup-simplify]: Simplify -1 into -1
10.985 * [taylor]: Taking taylor expansion of ky in kx
10.985 * [backup-simplify]: Simplify ky into ky
10.985 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.985 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.985 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.985 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.985 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.985 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.985 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.985 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.985 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.986 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.986 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
10.986 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.986 * [backup-simplify]: Simplify (+ 0) into 0
10.987 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.987 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.988 * [backup-simplify]: Simplify (+ 0 0) into 0
10.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.988 * [backup-simplify]: Simplify (+ 0 0) into 0
10.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.989 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
10.989 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
10.989 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
10.989 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.989 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.989 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.989 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.990 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
10.990 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in th
10.990 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
10.990 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
10.990 * [taylor]: Taking taylor expansion of (/ -1 th) in th
10.990 * [taylor]: Taking taylor expansion of -1 in th
10.990 * [backup-simplify]: Simplify -1 into -1
10.990 * [taylor]: Taking taylor expansion of th in th
10.990 * [backup-simplify]: Simplify 0 into 0
10.990 * [backup-simplify]: Simplify 1 into 1
10.990 * [backup-simplify]: Simplify (/ -1 1) into -1
10.990 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
10.990 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.990 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.990 * [taylor]: Taking taylor expansion of -1 in th
10.990 * [backup-simplify]: Simplify -1 into -1
10.990 * [taylor]: Taking taylor expansion of ky in th
10.990 * [backup-simplify]: Simplify ky into ky
10.990 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.990 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.990 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
10.991 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
10.991 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
10.991 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
10.991 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
10.991 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
10.991 * [taylor]: Taking taylor expansion of -1 in th
10.991 * [backup-simplify]: Simplify -1 into -1
10.991 * [taylor]: Taking taylor expansion of kx in th
10.991 * [backup-simplify]: Simplify kx into kx
10.991 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
10.991 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
10.991 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
10.991 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
10.991 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
10.991 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
10.991 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
10.991 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
10.991 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
10.991 * [taylor]: Taking taylor expansion of -1 in th
10.991 * [backup-simplify]: Simplify -1 into -1
10.991 * [taylor]: Taking taylor expansion of ky in th
10.991 * [backup-simplify]: Simplify ky into ky
10.991 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
10.991 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
10.991 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
10.991 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.991 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.991 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.992 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
10.992 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
10.992 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
10.992 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
10.992 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
10.993 * [backup-simplify]: Simplify (+ 0) into 0
10.993 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
10.993 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
10.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.994 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
10.994 * [backup-simplify]: Simplify (+ 0 0) into 0
10.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
10.995 * [backup-simplify]: Simplify (+ 0) into 0
10.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
10.995 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
10.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
10.996 * [backup-simplify]: Simplify (+ 0 0) into 0
10.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
10.997 * [backup-simplify]: Simplify (+ 0 0) into 0
10.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
10.998 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
10.998 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
10.998 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
10.998 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
10.998 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
10.999 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
10.999 * [backup-simplify]: Simplify (+ 0) into 0
10.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
10.999 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.000 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.000 * [backup-simplify]: Simplify (+ 0 0) into 0
11.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.001 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
11.001 * [taylor]: Taking taylor expansion of 0 in kx
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [taylor]: Taking taylor expansion of 0 in th
11.001 * [backup-simplify]: Simplify 0 into 0
11.001 * [backup-simplify]: Simplify 0 into 0
11.002 * [backup-simplify]: Simplify (+ 0) into 0
11.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.002 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.003 * [backup-simplify]: Simplify (+ 0 0) into 0
11.003 * [backup-simplify]: Simplify (+ 0) into 0
11.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.004 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.005 * [backup-simplify]: Simplify (+ 0 0) into 0
11.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.005 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.006 * [taylor]: Taking taylor expansion of 0 in th
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [backup-simplify]: Simplify (+ 0) into 0
11.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.006 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.007 * [backup-simplify]: Simplify (+ 0 0) into 0
11.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.008 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.008 * [backup-simplify]: Simplify 0 into 0
11.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.009 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.009 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.010 * [backup-simplify]: Simplify (+ 0 0) into 0
11.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.011 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.012 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.013 * [backup-simplify]: Simplify (+ 0 0) into 0
11.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.014 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.015 * [backup-simplify]: Simplify (+ 0 0) into 0
11.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.016 * [backup-simplify]: Simplify (+ 0 0) into 0
11.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.017 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
11.017 * [taylor]: Taking taylor expansion of 0 in kx
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [taylor]: Taking taylor expansion of 0 in th
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [taylor]: Taking taylor expansion of 0 in th
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [backup-simplify]: Simplify 0 into 0
11.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.019 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.019 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.020 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.020 * [backup-simplify]: Simplify (+ 0 0) into 0
11.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.021 * [backup-simplify]: Simplify (+ 0 0) into 0
11.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.023 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.023 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.024 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.026 * [backup-simplify]: Simplify (+ 0 0) into 0
11.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.028 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.029 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.030 * [backup-simplify]: Simplify (+ 0 0) into 0
11.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.031 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
11.031 * [taylor]: Taking taylor expansion of 0 in th
11.031 * [backup-simplify]: Simplify 0 into 0
11.032 * [backup-simplify]: Simplify 0 into 0
11.032 * [backup-simplify]: Simplify (* (* (sin (/ -1 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
11.032 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
11.033 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin ky) (sin kx))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
11.033 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
11.033 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
11.033 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.033 * [taylor]: Taking taylor expansion of ky in kx
11.033 * [backup-simplify]: Simplify ky into ky
11.033 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.033 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.033 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
11.033 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.033 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
11.033 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.033 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.033 * [taylor]: Taking taylor expansion of ky in kx
11.033 * [backup-simplify]: Simplify ky into ky
11.033 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.033 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.033 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.033 * [taylor]: Taking taylor expansion of ky in kx
11.033 * [backup-simplify]: Simplify ky into ky
11.033 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.034 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.034 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.034 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.034 * [taylor]: Taking taylor expansion of kx in kx
11.034 * [backup-simplify]: Simplify 0 into 0
11.034 * [backup-simplify]: Simplify 1 into 1
11.034 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.034 * [taylor]: Taking taylor expansion of kx in kx
11.034 * [backup-simplify]: Simplify 0 into 0
11.034 * [backup-simplify]: Simplify 1 into 1
11.034 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.034 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.034 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.034 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.034 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.034 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.034 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.035 * [backup-simplify]: Simplify (* 0 0) into 0
11.035 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.035 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.036 * [backup-simplify]: Simplify (+ 0) into 0
11.036 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.037 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.038 * [backup-simplify]: Simplify (+ 0 0) into 0
11.038 * [backup-simplify]: Simplify (+ 0) into 0
11.039 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.040 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.040 * [backup-simplify]: Simplify (+ 0 0) into 0
11.040 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.042 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.043 * [backup-simplify]: Simplify (+ 0 0) into 0
11.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.043 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.043 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.043 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.044 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
11.044 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
11.044 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.044 * [taylor]: Taking taylor expansion of ky in ky
11.044 * [backup-simplify]: Simplify 0 into 0
11.044 * [backup-simplify]: Simplify 1 into 1
11.044 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.044 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.044 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.044 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.044 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.044 * [taylor]: Taking taylor expansion of ky in ky
11.044 * [backup-simplify]: Simplify 0 into 0
11.044 * [backup-simplify]: Simplify 1 into 1
11.044 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.044 * [taylor]: Taking taylor expansion of ky in ky
11.044 * [backup-simplify]: Simplify 0 into 0
11.044 * [backup-simplify]: Simplify 1 into 1
11.044 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.044 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.044 * [taylor]: Taking taylor expansion of kx in ky
11.044 * [backup-simplify]: Simplify kx into kx
11.044 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.044 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.044 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.044 * [taylor]: Taking taylor expansion of kx in ky
11.044 * [backup-simplify]: Simplify kx into kx
11.045 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.045 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.045 * [backup-simplify]: Simplify (* 0 0) into 0
11.045 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.045 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.045 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.045 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.046 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.046 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.046 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.046 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.046 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.048 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.049 * [backup-simplify]: Simplify (+ 0) into 0
11.049 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.050 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.051 * [backup-simplify]: Simplify (+ 0 0) into 0
11.051 * [backup-simplify]: Simplify (+ 0) into 0
11.052 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.052 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.053 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.053 * [backup-simplify]: Simplify (+ 0 0) into 0
11.053 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.054 * [backup-simplify]: Simplify (+ 0 0) into 0
11.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.055 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
11.055 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
11.055 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.055 * [taylor]: Taking taylor expansion of ky in ky
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 1 into 1
11.055 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.055 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.055 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.055 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.055 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.055 * [taylor]: Taking taylor expansion of ky in ky
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 1 into 1
11.055 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.055 * [taylor]: Taking taylor expansion of ky in ky
11.055 * [backup-simplify]: Simplify 0 into 0
11.055 * [backup-simplify]: Simplify 1 into 1
11.055 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.055 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.055 * [taylor]: Taking taylor expansion of kx in ky
11.055 * [backup-simplify]: Simplify kx into kx
11.055 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.056 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.056 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.056 * [taylor]: Taking taylor expansion of kx in ky
11.056 * [backup-simplify]: Simplify kx into kx
11.056 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.056 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.056 * [backup-simplify]: Simplify (* 0 0) into 0
11.056 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.057 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.057 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.057 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.057 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.057 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.057 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.057 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.057 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.060 * [backup-simplify]: Simplify (+ 0) into 0
11.060 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.062 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.062 * [backup-simplify]: Simplify (+ 0 0) into 0
11.062 * [backup-simplify]: Simplify (+ 0) into 0
11.063 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.064 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.065 * [backup-simplify]: Simplify (+ 0 0) into 0
11.065 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.065 * [backup-simplify]: Simplify (+ 0 0) into 0
11.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.066 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
11.066 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.066 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.066 * [taylor]: Taking taylor expansion of kx in kx
11.066 * [backup-simplify]: Simplify 0 into 0
11.066 * [backup-simplify]: Simplify 1 into 1
11.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.067 * [backup-simplify]: Simplify (/ 1 1) into 1
11.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.069 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.070 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
11.070 * [taylor]: Taking taylor expansion of 0 in kx
11.070 * [backup-simplify]: Simplify 0 into 0
11.070 * [backup-simplify]: Simplify 0 into 0
11.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
11.073 * [backup-simplify]: Simplify 1/6 into 1/6
11.075 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.076 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.079 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.080 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.080 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.081 * [backup-simplify]: Simplify (+ 0 0) into 0
11.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.083 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.084 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.084 * [backup-simplify]: Simplify (+ 0 0) into 0
11.085 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.085 * [backup-simplify]: Simplify (+ 1 0) into 1
11.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
11.086 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
11.086 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
11.087 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
11.087 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
11.087 * [taylor]: Taking taylor expansion of 1/6 in kx
11.087 * [backup-simplify]: Simplify 1/6 into 1/6
11.087 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.087 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.087 * [taylor]: Taking taylor expansion of kx in kx
11.087 * [backup-simplify]: Simplify 0 into 0
11.087 * [backup-simplify]: Simplify 1 into 1
11.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.088 * [backup-simplify]: Simplify (/ 1 1) into 1
11.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
11.088 * [taylor]: Taking taylor expansion of 1/2 in kx
11.088 * [backup-simplify]: Simplify 1/2 into 1/2
11.088 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
11.088 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
11.088 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.088 * [taylor]: Taking taylor expansion of kx in kx
11.088 * [backup-simplify]: Simplify 0 into 0
11.088 * [backup-simplify]: Simplify 1 into 1
11.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.089 * [backup-simplify]: Simplify (* 1 1) into 1
11.089 * [backup-simplify]: Simplify (* 1 1) into 1
11.090 * [backup-simplify]: Simplify (/ 1 1) into 1
11.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.092 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
11.094 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.098 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
11.100 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
11.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
11.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.104 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
11.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
11.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
11.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
11.107 * [backup-simplify]: Simplify (+ 0 0) into 0
11.108 * [backup-simplify]: Simplify (- 0) into 0
11.108 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
11.109 * [backup-simplify]: Simplify 0 into 0
11.110 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.111 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.113 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
11.113 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.114 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.115 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.115 * [backup-simplify]: Simplify (+ 0 0) into 0
11.116 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.116 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.117 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.118 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.118 * [backup-simplify]: Simplify (+ 0 0) into 0
11.118 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
11.119 * [backup-simplify]: Simplify (+ 0 0) into 0
11.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
11.119 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ (/ 1/2 (sin kx)) (sin kx))) (* (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 0 (sin kx))))) into 0
11.119 * [taylor]: Taking taylor expansion of 0 in kx
11.119 * [backup-simplify]: Simplify 0 into 0
11.119 * [backup-simplify]: Simplify 0 into 0
11.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
11.122 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
11.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
11.125 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
11.126 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
11.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
11.128 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
11.128 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
11.129 * [backup-simplify]: Simplify (- 71/720) into -71/720
11.129 * [backup-simplify]: Simplify -71/720 into -71/720
11.129 * [backup-simplify]: Simplify 0 into 0
11.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
11.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
11.134 * [backup-simplify]: Simplify 7/360 into 7/360
11.135 * [backup-simplify]: Simplify (+ (* 7/360 (* (pow kx 3) ky)) (+ (* -71/720 (* kx (pow ky 3))) (* 1/6 (* kx ky)))) into (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
11.135 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
11.135 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
11.135 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
11.135 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.135 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.135 * [taylor]: Taking taylor expansion of ky in kx
11.135 * [backup-simplify]: Simplify ky into ky
11.135 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.135 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.135 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.135 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
11.136 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.136 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
11.136 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.136 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.136 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.136 * [taylor]: Taking taylor expansion of ky in kx
11.136 * [backup-simplify]: Simplify ky into ky
11.136 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.136 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.136 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.136 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.136 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.136 * [taylor]: Taking taylor expansion of ky in kx
11.136 * [backup-simplify]: Simplify ky into ky
11.136 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.136 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.136 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.136 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.136 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.136 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.136 * [taylor]: Taking taylor expansion of kx in kx
11.136 * [backup-simplify]: Simplify 0 into 0
11.136 * [backup-simplify]: Simplify 1 into 1
11.137 * [backup-simplify]: Simplify (/ 1 1) into 1
11.137 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.137 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.137 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.137 * [taylor]: Taking taylor expansion of kx in kx
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [backup-simplify]: Simplify 1 into 1
11.138 * [backup-simplify]: Simplify (/ 1 1) into 1
11.138 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.138 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.138 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.138 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.138 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.138 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.138 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.138 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.139 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.139 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.139 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.140 * [backup-simplify]: Simplify (+ 0) into 0
11.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.142 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.142 * [backup-simplify]: Simplify (+ 0 0) into 0
11.143 * [backup-simplify]: Simplify (+ 0) into 0
11.143 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.145 * [backup-simplify]: Simplify (+ 0 0) into 0
11.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.146 * [backup-simplify]: Simplify (+ 0 0) into 0
11.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.146 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.146 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.146 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.147 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
11.147 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
11.147 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.147 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.147 * [taylor]: Taking taylor expansion of ky in ky
11.147 * [backup-simplify]: Simplify 0 into 0
11.147 * [backup-simplify]: Simplify 1 into 1
11.148 * [backup-simplify]: Simplify (/ 1 1) into 1
11.148 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.148 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.148 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.148 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.148 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.148 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.148 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.148 * [taylor]: Taking taylor expansion of ky in ky
11.148 * [backup-simplify]: Simplify 0 into 0
11.148 * [backup-simplify]: Simplify 1 into 1
11.148 * [backup-simplify]: Simplify (/ 1 1) into 1
11.149 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.149 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.149 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.149 * [taylor]: Taking taylor expansion of ky in ky
11.149 * [backup-simplify]: Simplify 0 into 0
11.149 * [backup-simplify]: Simplify 1 into 1
11.149 * [backup-simplify]: Simplify (/ 1 1) into 1
11.149 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.149 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.149 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.149 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.149 * [taylor]: Taking taylor expansion of kx in ky
11.149 * [backup-simplify]: Simplify kx into kx
11.149 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.149 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.150 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.150 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.150 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.150 * [taylor]: Taking taylor expansion of kx in ky
11.150 * [backup-simplify]: Simplify kx into kx
11.150 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.150 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.150 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.150 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.150 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.150 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.150 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.150 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.151 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.151 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.151 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.151 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.152 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.152 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.152 * [backup-simplify]: Simplify (+ 0) into 0
11.153 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.155 * [backup-simplify]: Simplify (+ 0 0) into 0
11.155 * [backup-simplify]: Simplify (+ 0) into 0
11.156 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.157 * [backup-simplify]: Simplify (+ 0 0) into 0
11.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.157 * [backup-simplify]: Simplify (+ 0 0) into 0
11.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.158 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
11.158 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
11.158 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.158 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.158 * [taylor]: Taking taylor expansion of ky in ky
11.158 * [backup-simplify]: Simplify 0 into 0
11.158 * [backup-simplify]: Simplify 1 into 1
11.158 * [backup-simplify]: Simplify (/ 1 1) into 1
11.158 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.158 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.158 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.158 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.158 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.158 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.158 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.158 * [taylor]: Taking taylor expansion of ky in ky
11.158 * [backup-simplify]: Simplify 0 into 0
11.158 * [backup-simplify]: Simplify 1 into 1
11.158 * [backup-simplify]: Simplify (/ 1 1) into 1
11.159 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.159 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.159 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.159 * [taylor]: Taking taylor expansion of ky in ky
11.159 * [backup-simplify]: Simplify 0 into 0
11.159 * [backup-simplify]: Simplify 1 into 1
11.159 * [backup-simplify]: Simplify (/ 1 1) into 1
11.159 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.159 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.159 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.159 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.159 * [taylor]: Taking taylor expansion of kx in ky
11.159 * [backup-simplify]: Simplify kx into kx
11.159 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.159 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.159 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.159 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.159 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.159 * [taylor]: Taking taylor expansion of kx in ky
11.159 * [backup-simplify]: Simplify kx into kx
11.159 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.159 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.159 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.159 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.159 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.160 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.160 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.160 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.160 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.160 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.160 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.160 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.160 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.161 * [backup-simplify]: Simplify (+ 0) into 0
11.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.162 * [backup-simplify]: Simplify (+ 0 0) into 0
11.162 * [backup-simplify]: Simplify (+ 0) into 0
11.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.164 * [backup-simplify]: Simplify (+ 0 0) into 0
11.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.164 * [backup-simplify]: Simplify (+ 0 0) into 0
11.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.165 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
11.165 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
11.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
11.165 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.165 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.165 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.165 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.165 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.165 * [taylor]: Taking taylor expansion of kx in kx
11.165 * [backup-simplify]: Simplify 0 into 0
11.165 * [backup-simplify]: Simplify 1 into 1
11.165 * [backup-simplify]: Simplify (/ 1 1) into 1
11.165 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.165 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.165 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.165 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.165 * [taylor]: Taking taylor expansion of ky in kx
11.165 * [backup-simplify]: Simplify ky into ky
11.165 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.165 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.165 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.165 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.165 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.166 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.166 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.166 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.166 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.166 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.166 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
11.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.167 * [backup-simplify]: Simplify (+ 0) into 0
11.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.168 * [backup-simplify]: Simplify (+ 0 0) into 0
11.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.169 * [backup-simplify]: Simplify (+ 0 0) into 0
11.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.169 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.169 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.169 * [taylor]: Taking taylor expansion of ky in kx
11.169 * [backup-simplify]: Simplify ky into ky
11.169 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.169 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.170 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.170 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.170 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.170 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.170 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
11.170 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
11.171 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
11.171 * [taylor]: Taking taylor expansion of 0 in kx
11.171 * [backup-simplify]: Simplify 0 into 0
11.171 * [backup-simplify]: Simplify 0 into 0
11.172 * [backup-simplify]: Simplify (+ 0) into 0
11.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.173 * [backup-simplify]: Simplify (+ 0 0) into 0
11.174 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
11.174 * [backup-simplify]: Simplify 0 into 0
11.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.176 * [backup-simplify]: Simplify (+ 0 0) into 0
11.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.178 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.178 * [backup-simplify]: Simplify (+ 0 0) into 0
11.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.179 * [backup-simplify]: Simplify (+ 0 0) into 0
11.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.181 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
11.181 * [taylor]: Taking taylor expansion of 0 in kx
11.181 * [backup-simplify]: Simplify 0 into 0
11.181 * [backup-simplify]: Simplify 0 into 0
11.181 * [backup-simplify]: Simplify 0 into 0
11.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.183 * [backup-simplify]: Simplify (+ 0 0) into 0
11.183 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.185 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.185 * [backup-simplify]: Simplify (+ 0 0) into 0
11.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.186 * [backup-simplify]: Simplify (+ 0 0) into 0
11.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.188 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.188 * [backup-simplify]: Simplify 0 into 0
11.189 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
11.189 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.191 * [backup-simplify]: Simplify (+ 0 0) into 0
11.192 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.192 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.193 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.194 * [backup-simplify]: Simplify (+ 0 0) into 0
11.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
11.195 * [backup-simplify]: Simplify (+ 0 0) into 0
11.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.198 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
11.198 * [taylor]: Taking taylor expansion of 0 in kx
11.198 * [backup-simplify]: Simplify 0 into 0
11.199 * [backup-simplify]: Simplify 0 into 0
11.199 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
11.199 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
11.199 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
11.200 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
11.200 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.200 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.200 * [taylor]: Taking taylor expansion of -1 in kx
11.200 * [backup-simplify]: Simplify -1 into -1
11.200 * [taylor]: Taking taylor expansion of ky in kx
11.200 * [backup-simplify]: Simplify ky into ky
11.200 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.200 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.200 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.200 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.200 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.200 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.200 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.200 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.200 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.200 * [taylor]: Taking taylor expansion of -1 in kx
11.200 * [backup-simplify]: Simplify -1 into -1
11.200 * [taylor]: Taking taylor expansion of ky in kx
11.200 * [backup-simplify]: Simplify ky into ky
11.200 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.201 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.201 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.201 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.201 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.201 * [taylor]: Taking taylor expansion of -1 in kx
11.201 * [backup-simplify]: Simplify -1 into -1
11.201 * [taylor]: Taking taylor expansion of ky in kx
11.201 * [backup-simplify]: Simplify ky into ky
11.201 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.201 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.201 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.201 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.201 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.201 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.201 * [taylor]: Taking taylor expansion of -1 in kx
11.201 * [backup-simplify]: Simplify -1 into -1
11.201 * [taylor]: Taking taylor expansion of kx in kx
11.201 * [backup-simplify]: Simplify 0 into 0
11.201 * [backup-simplify]: Simplify 1 into 1
11.202 * [backup-simplify]: Simplify (/ -1 1) into -1
11.202 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.202 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.202 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.202 * [taylor]: Taking taylor expansion of -1 in kx
11.202 * [backup-simplify]: Simplify -1 into -1
11.202 * [taylor]: Taking taylor expansion of kx in kx
11.202 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify 1 into 1
11.203 * [backup-simplify]: Simplify (/ -1 1) into -1
11.203 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.203 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.203 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.203 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.203 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.203 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.204 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.204 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.204 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.204 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.205 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.206 * [backup-simplify]: Simplify (+ 0) into 0
11.206 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.207 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.208 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.208 * [backup-simplify]: Simplify (+ 0 0) into 0
11.209 * [backup-simplify]: Simplify (+ 0) into 0
11.209 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.210 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.211 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.211 * [backup-simplify]: Simplify (+ 0 0) into 0
11.211 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.212 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.212 * [backup-simplify]: Simplify (+ 0 0) into 0
11.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.213 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.213 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.213 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.213 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
11.213 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
11.213 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.214 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.214 * [taylor]: Taking taylor expansion of -1 in ky
11.214 * [backup-simplify]: Simplify -1 into -1
11.214 * [taylor]: Taking taylor expansion of ky in ky
11.214 * [backup-simplify]: Simplify 0 into 0
11.214 * [backup-simplify]: Simplify 1 into 1
11.214 * [backup-simplify]: Simplify (/ -1 1) into -1
11.214 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.214 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.214 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.215 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.215 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.215 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.215 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.215 * [taylor]: Taking taylor expansion of -1 in ky
11.215 * [backup-simplify]: Simplify -1 into -1
11.215 * [taylor]: Taking taylor expansion of ky in ky
11.215 * [backup-simplify]: Simplify 0 into 0
11.215 * [backup-simplify]: Simplify 1 into 1
11.215 * [backup-simplify]: Simplify (/ -1 1) into -1
11.215 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.215 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.215 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.215 * [taylor]: Taking taylor expansion of -1 in ky
11.215 * [backup-simplify]: Simplify -1 into -1
11.216 * [taylor]: Taking taylor expansion of ky in ky
11.216 * [backup-simplify]: Simplify 0 into 0
11.216 * [backup-simplify]: Simplify 1 into 1
11.216 * [backup-simplify]: Simplify (/ -1 1) into -1
11.216 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.216 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.216 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.216 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.216 * [taylor]: Taking taylor expansion of -1 in ky
11.216 * [backup-simplify]: Simplify -1 into -1
11.216 * [taylor]: Taking taylor expansion of kx in ky
11.216 * [backup-simplify]: Simplify kx into kx
11.216 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.217 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.217 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.217 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.217 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.217 * [taylor]: Taking taylor expansion of -1 in ky
11.217 * [backup-simplify]: Simplify -1 into -1
11.217 * [taylor]: Taking taylor expansion of kx in ky
11.217 * [backup-simplify]: Simplify kx into kx
11.217 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.217 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.217 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.217 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.217 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.217 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.218 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.218 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.218 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.218 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.218 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.218 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.219 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.219 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.221 * [backup-simplify]: Simplify (+ 0) into 0
11.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.222 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.224 * [backup-simplify]: Simplify (+ 0 0) into 0
11.225 * [backup-simplify]: Simplify (+ 0) into 0
11.225 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.225 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.227 * [backup-simplify]: Simplify (+ 0 0) into 0
11.227 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.228 * [backup-simplify]: Simplify (+ 0 0) into 0
11.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.229 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
11.229 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
11.229 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.229 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.229 * [taylor]: Taking taylor expansion of -1 in ky
11.229 * [backup-simplify]: Simplify -1 into -1
11.229 * [taylor]: Taking taylor expansion of ky in ky
11.229 * [backup-simplify]: Simplify 0 into 0
11.229 * [backup-simplify]: Simplify 1 into 1
11.229 * [backup-simplify]: Simplify (/ -1 1) into -1
11.229 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.230 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.230 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.230 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.230 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.230 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.230 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.230 * [taylor]: Taking taylor expansion of -1 in ky
11.230 * [backup-simplify]: Simplify -1 into -1
11.230 * [taylor]: Taking taylor expansion of ky in ky
11.230 * [backup-simplify]: Simplify 0 into 0
11.230 * [backup-simplify]: Simplify 1 into 1
11.230 * [backup-simplify]: Simplify (/ -1 1) into -1
11.231 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.231 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.231 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.231 * [taylor]: Taking taylor expansion of -1 in ky
11.231 * [backup-simplify]: Simplify -1 into -1
11.231 * [taylor]: Taking taylor expansion of ky in ky
11.231 * [backup-simplify]: Simplify 0 into 0
11.231 * [backup-simplify]: Simplify 1 into 1
11.231 * [backup-simplify]: Simplify (/ -1 1) into -1
11.231 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.231 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.231 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.231 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.231 * [taylor]: Taking taylor expansion of -1 in ky
11.231 * [backup-simplify]: Simplify -1 into -1
11.231 * [taylor]: Taking taylor expansion of kx in ky
11.232 * [backup-simplify]: Simplify kx into kx
11.232 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.232 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.232 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.232 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.232 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.232 * [taylor]: Taking taylor expansion of -1 in ky
11.232 * [backup-simplify]: Simplify -1 into -1
11.232 * [taylor]: Taking taylor expansion of kx in ky
11.232 * [backup-simplify]: Simplify kx into kx
11.232 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.232 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.232 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.232 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.232 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.233 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.233 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.233 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.233 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.233 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.233 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.234 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.234 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.234 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.235 * [backup-simplify]: Simplify (+ 0) into 0
11.235 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.236 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.237 * [backup-simplify]: Simplify (+ 0 0) into 0
11.238 * [backup-simplify]: Simplify (+ 0) into 0
11.238 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.238 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.240 * [backup-simplify]: Simplify (+ 0 0) into 0
11.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.240 * [backup-simplify]: Simplify (+ 0 0) into 0
11.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.241 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
11.242 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
11.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
11.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.242 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.242 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.242 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.242 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.242 * [taylor]: Taking taylor expansion of -1 in kx
11.242 * [backup-simplify]: Simplify -1 into -1
11.242 * [taylor]: Taking taylor expansion of kx in kx
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify 1 into 1
11.242 * [backup-simplify]: Simplify (/ -1 1) into -1
11.243 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.243 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.243 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.243 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.243 * [taylor]: Taking taylor expansion of -1 in kx
11.243 * [backup-simplify]: Simplify -1 into -1
11.243 * [taylor]: Taking taylor expansion of ky in kx
11.243 * [backup-simplify]: Simplify ky into ky
11.243 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.243 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.243 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.243 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.243 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.243 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.244 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.244 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.244 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.245 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.245 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
11.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.246 * [backup-simplify]: Simplify (+ 0) into 0
11.246 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.246 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.248 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.248 * [backup-simplify]: Simplify (+ 0 0) into 0
11.248 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.249 * [backup-simplify]: Simplify (+ 0 0) into 0
11.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.250 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.250 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.250 * [taylor]: Taking taylor expansion of -1 in kx
11.250 * [backup-simplify]: Simplify -1 into -1
11.250 * [taylor]: Taking taylor expansion of ky in kx
11.250 * [backup-simplify]: Simplify ky into ky
11.250 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.250 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.251 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.251 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.251 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.251 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.251 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
11.252 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
11.253 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
11.253 * [taylor]: Taking taylor expansion of 0 in kx
11.253 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify 0 into 0
11.254 * [backup-simplify]: Simplify (+ 0) into 0
11.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.255 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.257 * [backup-simplify]: Simplify (+ 0 0) into 0
11.257 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
11.257 * [backup-simplify]: Simplify 0 into 0
11.258 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.259 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.260 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.260 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.261 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.261 * [backup-simplify]: Simplify (+ 0 0) into 0
11.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.263 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.265 * [backup-simplify]: Simplify (+ 0 0) into 0
11.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.266 * [backup-simplify]: Simplify (+ 0 0) into 0
11.268 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.270 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
11.270 * [taylor]: Taking taylor expansion of 0 in kx
11.270 * [backup-simplify]: Simplify 0 into 0
11.270 * [backup-simplify]: Simplify 0 into 0
11.270 * [backup-simplify]: Simplify 0 into 0
11.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.272 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.273 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.274 * [backup-simplify]: Simplify (+ 0 0) into 0
11.274 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.276 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.277 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.278 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.278 * [backup-simplify]: Simplify (+ 0 0) into 0
11.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.279 * [backup-simplify]: Simplify (+ 0 0) into 0
11.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.283 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.283 * [backup-simplify]: Simplify 0 into 0
11.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
11.284 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.286 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.288 * [backup-simplify]: Simplify (+ 0 0) into 0
11.289 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.290 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.293 * [backup-simplify]: Simplify (+ 0 0) into 0
11.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
11.294 * [backup-simplify]: Simplify (+ 0 0) into 0
11.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.297 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
11.297 * [taylor]: Taking taylor expansion of 0 in kx
11.297 * [backup-simplify]: Simplify 0 into 0
11.297 * [backup-simplify]: Simplify 0 into 0
11.298 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
11.298 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
11.298 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
11.298 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
11.298 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
11.298 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.298 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
11.298 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.298 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.298 * [taylor]: Taking taylor expansion of ky in kx
11.298 * [backup-simplify]: Simplify ky into ky
11.298 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.298 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.298 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.298 * [taylor]: Taking taylor expansion of ky in kx
11.298 * [backup-simplify]: Simplify ky into ky
11.299 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.299 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.299 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.299 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.299 * [taylor]: Taking taylor expansion of kx in kx
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify 1 into 1
11.299 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.299 * [taylor]: Taking taylor expansion of kx in kx
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify 1 into 1
11.299 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.299 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.299 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.299 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.299 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.299 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.299 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.300 * [backup-simplify]: Simplify (* 0 0) into 0
11.300 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.300 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.301 * [backup-simplify]: Simplify (+ 0) into 0
11.301 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.302 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.303 * [backup-simplify]: Simplify (+ 0 0) into 0
11.303 * [backup-simplify]: Simplify (+ 0) into 0
11.304 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.305 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.305 * [backup-simplify]: Simplify (+ 0 0) into 0
11.305 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.307 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.308 * [backup-simplify]: Simplify (+ 0 0) into 0
11.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.308 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.308 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.308 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.308 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.308 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.308 * [taylor]: Taking taylor expansion of ky in ky
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 1 into 1
11.308 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.308 * [taylor]: Taking taylor expansion of ky in ky
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 1 into 1
11.308 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.308 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.308 * [taylor]: Taking taylor expansion of kx in ky
11.308 * [backup-simplify]: Simplify kx into kx
11.309 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.309 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.309 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.309 * [taylor]: Taking taylor expansion of kx in ky
11.309 * [backup-simplify]: Simplify kx into kx
11.309 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.309 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.309 * [backup-simplify]: Simplify (* 0 0) into 0
11.309 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.309 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.309 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.310 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.310 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.310 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.310 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.310 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.310 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.312 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.313 * [backup-simplify]: Simplify (+ 0) into 0
11.313 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.315 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.315 * [backup-simplify]: Simplify (+ 0 0) into 0
11.315 * [backup-simplify]: Simplify (+ 0) into 0
11.316 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.317 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.318 * [backup-simplify]: Simplify (+ 0 0) into 0
11.318 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.318 * [backup-simplify]: Simplify (+ 0 0) into 0
11.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.319 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.319 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.319 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.319 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.319 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.319 * [taylor]: Taking taylor expansion of ky in ky
11.319 * [backup-simplify]: Simplify 0 into 0
11.319 * [backup-simplify]: Simplify 1 into 1
11.319 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.319 * [taylor]: Taking taylor expansion of ky in ky
11.319 * [backup-simplify]: Simplify 0 into 0
11.319 * [backup-simplify]: Simplify 1 into 1
11.319 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.319 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.319 * [taylor]: Taking taylor expansion of kx in ky
11.319 * [backup-simplify]: Simplify kx into kx
11.319 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.319 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.319 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.319 * [taylor]: Taking taylor expansion of kx in ky
11.319 * [backup-simplify]: Simplify kx into kx
11.319 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.319 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.320 * [backup-simplify]: Simplify (* 0 0) into 0
11.320 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.320 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.320 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.320 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.320 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.320 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.321 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.321 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.321 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.324 * [backup-simplify]: Simplify (+ 0) into 0
11.325 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.326 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.327 * [backup-simplify]: Simplify (+ 0 0) into 0
11.327 * [backup-simplify]: Simplify (+ 0) into 0
11.328 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.329 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.329 * [backup-simplify]: Simplify (+ 0 0) into 0
11.329 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.330 * [backup-simplify]: Simplify (+ 0 0) into 0
11.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.330 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.330 * [taylor]: Taking taylor expansion of kx in kx
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 1 into 1
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [taylor]: Taking taylor expansion of 0 in kx
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 0 into 0
11.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.331 * [backup-simplify]: Simplify 1 into 1
11.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.333 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.335 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.336 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.336 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.336 * [backup-simplify]: Simplify (+ 0 0) into 0
11.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.337 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.338 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.339 * [backup-simplify]: Simplify (+ 0 0) into 0
11.339 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.339 * [backup-simplify]: Simplify (+ 1 0) into 1
11.340 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
11.340 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
11.340 * [taylor]: Taking taylor expansion of 1/2 in kx
11.340 * [backup-simplify]: Simplify 1/2 into 1/2
11.340 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.340 * [taylor]: Taking taylor expansion of kx in kx
11.340 * [backup-simplify]: Simplify 0 into 0
11.340 * [backup-simplify]: Simplify 1 into 1
11.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.341 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.341 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.342 * [backup-simplify]: Simplify 0 into 0
11.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.344 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.344 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
11.345 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.346 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.347 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.347 * [backup-simplify]: Simplify (+ 0 0) into 0
11.348 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.348 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.349 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.349 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.350 * [backup-simplify]: Simplify (+ 0 0) into 0
11.350 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
11.350 * [backup-simplify]: Simplify (+ 0 0) into 0
11.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
11.350 * [taylor]: Taking taylor expansion of 0 in kx
11.350 * [backup-simplify]: Simplify 0 into 0
11.350 * [backup-simplify]: Simplify 0 into 0
11.351 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
11.352 * [backup-simplify]: Simplify 1/12 into 1/12
11.352 * [backup-simplify]: Simplify 0 into 0
11.353 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.353 * [backup-simplify]: Simplify -1/6 into -1/6
11.353 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* kx 1) 3)) (+ (* 1/12 (* kx (pow ky 2))) (* 1 (* kx 1)))) into (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
11.354 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
11.354 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
11.354 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
11.354 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.354 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
11.354 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.354 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.354 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.354 * [taylor]: Taking taylor expansion of ky in kx
11.354 * [backup-simplify]: Simplify ky into ky
11.354 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.354 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.354 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.354 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.354 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.354 * [taylor]: Taking taylor expansion of ky in kx
11.354 * [backup-simplify]: Simplify ky into ky
11.354 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.354 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.354 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.354 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.354 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.354 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.354 * [taylor]: Taking taylor expansion of kx in kx
11.354 * [backup-simplify]: Simplify 0 into 0
11.354 * [backup-simplify]: Simplify 1 into 1
11.354 * [backup-simplify]: Simplify (/ 1 1) into 1
11.355 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.355 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.355 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.355 * [taylor]: Taking taylor expansion of kx in kx
11.355 * [backup-simplify]: Simplify 0 into 0
11.355 * [backup-simplify]: Simplify 1 into 1
11.355 * [backup-simplify]: Simplify (/ 1 1) into 1
11.355 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.355 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.355 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.355 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.355 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.355 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.355 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.355 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.355 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.356 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.356 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.356 * [backup-simplify]: Simplify (+ 0) into 0
11.357 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.357 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.358 * [backup-simplify]: Simplify (+ 0 0) into 0
11.358 * [backup-simplify]: Simplify (+ 0) into 0
11.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.359 * [backup-simplify]: Simplify (+ 0 0) into 0
11.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.360 * [backup-simplify]: Simplify (+ 0 0) into 0
11.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.360 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.360 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.360 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.360 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.360 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.360 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.360 * [taylor]: Taking taylor expansion of ky in ky
11.360 * [backup-simplify]: Simplify 0 into 0
11.360 * [backup-simplify]: Simplify 1 into 1
11.361 * [backup-simplify]: Simplify (/ 1 1) into 1
11.361 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.361 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.361 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.361 * [taylor]: Taking taylor expansion of ky in ky
11.361 * [backup-simplify]: Simplify 0 into 0
11.361 * [backup-simplify]: Simplify 1 into 1
11.361 * [backup-simplify]: Simplify (/ 1 1) into 1
11.361 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.361 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.361 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.361 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.361 * [taylor]: Taking taylor expansion of kx in ky
11.361 * [backup-simplify]: Simplify kx into kx
11.361 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.361 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.361 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.361 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.361 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.361 * [taylor]: Taking taylor expansion of kx in ky
11.361 * [backup-simplify]: Simplify kx into kx
11.361 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.361 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.361 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.361 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.362 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.362 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.362 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.362 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.362 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.362 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.362 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.362 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.362 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.362 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.363 * [backup-simplify]: Simplify (+ 0) into 0
11.363 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.364 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.365 * [backup-simplify]: Simplify (+ 0 0) into 0
11.366 * [backup-simplify]: Simplify (+ 0) into 0
11.366 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.367 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.367 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.367 * [backup-simplify]: Simplify (+ 0 0) into 0
11.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.368 * [backup-simplify]: Simplify (+ 0 0) into 0
11.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.368 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.368 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.368 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.368 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.368 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.368 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.368 * [taylor]: Taking taylor expansion of ky in ky
11.368 * [backup-simplify]: Simplify 0 into 0
11.369 * [backup-simplify]: Simplify 1 into 1
11.369 * [backup-simplify]: Simplify (/ 1 1) into 1
11.369 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.369 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.369 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.369 * [taylor]: Taking taylor expansion of ky in ky
11.369 * [backup-simplify]: Simplify 0 into 0
11.369 * [backup-simplify]: Simplify 1 into 1
11.370 * [backup-simplify]: Simplify (/ 1 1) into 1
11.370 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.370 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.370 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.370 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.370 * [taylor]: Taking taylor expansion of kx in ky
11.370 * [backup-simplify]: Simplify kx into kx
11.370 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.370 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.370 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.370 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.370 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.370 * [taylor]: Taking taylor expansion of kx in ky
11.370 * [backup-simplify]: Simplify kx into kx
11.370 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.370 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.370 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.370 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.371 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.371 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.371 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.371 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.371 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.371 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.371 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.372 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.372 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.373 * [backup-simplify]: Simplify (+ 0) into 0
11.373 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.375 * [backup-simplify]: Simplify (+ 0 0) into 0
11.375 * [backup-simplify]: Simplify (+ 0) into 0
11.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.378 * [backup-simplify]: Simplify (+ 0 0) into 0
11.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.378 * [backup-simplify]: Simplify (+ 0 0) into 0
11.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.379 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.379 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.379 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.379 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.379 * [taylor]: Taking taylor expansion of kx in kx
11.379 * [backup-simplify]: Simplify 0 into 0
11.379 * [backup-simplify]: Simplify 1 into 1
11.380 * [backup-simplify]: Simplify (/ 1 1) into 1
11.380 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.380 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.380 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.380 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.380 * [taylor]: Taking taylor expansion of ky in kx
11.380 * [backup-simplify]: Simplify ky into ky
11.380 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.380 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.380 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.380 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.380 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.381 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.381 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.381 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.381 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.382 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.382 * [backup-simplify]: Simplify (+ 0) into 0
11.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.384 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.385 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.385 * [backup-simplify]: Simplify (+ 0 0) into 0
11.385 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.386 * [backup-simplify]: Simplify (+ 0 0) into 0
11.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.387 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
11.387 * [taylor]: Taking taylor expansion of 0 in kx
11.387 * [backup-simplify]: Simplify 0 into 0
11.387 * [backup-simplify]: Simplify 0 into 0
11.387 * [backup-simplify]: Simplify 0 into 0
11.388 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.391 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.392 * [backup-simplify]: Simplify (+ 0 0) into 0
11.393 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.395 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.396 * [backup-simplify]: Simplify (+ 0 0) into 0
11.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.396 * [backup-simplify]: Simplify (+ 0 0) into 0
11.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.397 * [taylor]: Taking taylor expansion of 0 in kx
11.397 * [backup-simplify]: Simplify 0 into 0
11.397 * [backup-simplify]: Simplify 0 into 0
11.397 * [backup-simplify]: Simplify 0 into 0
11.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.398 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.399 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.399 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.400 * [backup-simplify]: Simplify (+ 0 0) into 0
11.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.400 * [backup-simplify]: Simplify (+ 0 0) into 0
11.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.401 * [backup-simplify]: Simplify 0 into 0
11.402 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
11.402 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.403 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.404 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.404 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.405 * [backup-simplify]: Simplify (+ 0 0) into 0
11.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.407 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.407 * [backup-simplify]: Simplify (+ 0 0) into 0
11.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
11.408 * [backup-simplify]: Simplify (+ 0 0) into 0
11.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.409 * [taylor]: Taking taylor expansion of 0 in kx
11.409 * [backup-simplify]: Simplify 0 into 0
11.409 * [backup-simplify]: Simplify 0 into 0
11.409 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.409 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
11.409 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
11.409 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.409 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.410 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.410 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.410 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.410 * [taylor]: Taking taylor expansion of -1 in kx
11.410 * [backup-simplify]: Simplify -1 into -1
11.410 * [taylor]: Taking taylor expansion of ky in kx
11.410 * [backup-simplify]: Simplify ky into ky
11.410 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.410 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.410 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.410 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.410 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.410 * [taylor]: Taking taylor expansion of -1 in kx
11.410 * [backup-simplify]: Simplify -1 into -1
11.410 * [taylor]: Taking taylor expansion of ky in kx
11.410 * [backup-simplify]: Simplify ky into ky
11.410 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.410 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.410 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.410 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.410 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.410 * [taylor]: Taking taylor expansion of -1 in kx
11.410 * [backup-simplify]: Simplify -1 into -1
11.410 * [taylor]: Taking taylor expansion of kx in kx
11.410 * [backup-simplify]: Simplify 0 into 0
11.410 * [backup-simplify]: Simplify 1 into 1
11.410 * [backup-simplify]: Simplify (/ -1 1) into -1
11.410 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.410 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.411 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.411 * [taylor]: Taking taylor expansion of -1 in kx
11.411 * [backup-simplify]: Simplify -1 into -1
11.411 * [taylor]: Taking taylor expansion of kx in kx
11.411 * [backup-simplify]: Simplify 0 into 0
11.411 * [backup-simplify]: Simplify 1 into 1
11.411 * [backup-simplify]: Simplify (/ -1 1) into -1
11.411 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.411 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.411 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.411 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.411 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.411 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.411 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.411 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.411 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.412 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.412 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.412 * [backup-simplify]: Simplify (+ 0) into 0
11.413 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.413 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.414 * [backup-simplify]: Simplify (+ 0 0) into 0
11.414 * [backup-simplify]: Simplify (+ 0) into 0
11.414 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.414 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.415 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.415 * [backup-simplify]: Simplify (+ 0 0) into 0
11.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.416 * [backup-simplify]: Simplify (+ 0 0) into 0
11.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.416 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.416 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.416 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.416 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.416 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.416 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.416 * [taylor]: Taking taylor expansion of -1 in ky
11.416 * [backup-simplify]: Simplify -1 into -1
11.416 * [taylor]: Taking taylor expansion of ky in ky
11.416 * [backup-simplify]: Simplify 0 into 0
11.416 * [backup-simplify]: Simplify 1 into 1
11.417 * [backup-simplify]: Simplify (/ -1 1) into -1
11.417 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.417 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.417 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.417 * [taylor]: Taking taylor expansion of -1 in ky
11.417 * [backup-simplify]: Simplify -1 into -1
11.417 * [taylor]: Taking taylor expansion of ky in ky
11.417 * [backup-simplify]: Simplify 0 into 0
11.417 * [backup-simplify]: Simplify 1 into 1
11.417 * [backup-simplify]: Simplify (/ -1 1) into -1
11.417 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.417 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.417 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.417 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.417 * [taylor]: Taking taylor expansion of -1 in ky
11.417 * [backup-simplify]: Simplify -1 into -1
11.417 * [taylor]: Taking taylor expansion of kx in ky
11.417 * [backup-simplify]: Simplify kx into kx
11.417 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.417 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.417 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.417 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.417 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.418 * [taylor]: Taking taylor expansion of -1 in ky
11.418 * [backup-simplify]: Simplify -1 into -1
11.418 * [taylor]: Taking taylor expansion of kx in ky
11.418 * [backup-simplify]: Simplify kx into kx
11.418 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.418 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.418 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.418 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.418 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.418 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.418 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.418 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.418 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.418 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.418 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.418 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.419 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.419 * [backup-simplify]: Simplify (+ 0) into 0
11.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.420 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.421 * [backup-simplify]: Simplify (+ 0 0) into 0
11.421 * [backup-simplify]: Simplify (+ 0) into 0
11.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.421 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.422 * [backup-simplify]: Simplify (+ 0 0) into 0
11.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.423 * [backup-simplify]: Simplify (+ 0 0) into 0
11.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.423 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.423 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.423 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.423 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.423 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.423 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.423 * [taylor]: Taking taylor expansion of -1 in ky
11.423 * [backup-simplify]: Simplify -1 into -1
11.423 * [taylor]: Taking taylor expansion of ky in ky
11.423 * [backup-simplify]: Simplify 0 into 0
11.423 * [backup-simplify]: Simplify 1 into 1
11.423 * [backup-simplify]: Simplify (/ -1 1) into -1
11.423 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.423 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.423 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.424 * [taylor]: Taking taylor expansion of -1 in ky
11.424 * [backup-simplify]: Simplify -1 into -1
11.424 * [taylor]: Taking taylor expansion of ky in ky
11.424 * [backup-simplify]: Simplify 0 into 0
11.424 * [backup-simplify]: Simplify 1 into 1
11.424 * [backup-simplify]: Simplify (/ -1 1) into -1
11.424 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.424 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.424 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.424 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.424 * [taylor]: Taking taylor expansion of -1 in ky
11.424 * [backup-simplify]: Simplify -1 into -1
11.424 * [taylor]: Taking taylor expansion of kx in ky
11.424 * [backup-simplify]: Simplify kx into kx
11.424 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.424 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.424 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.424 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.424 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.424 * [taylor]: Taking taylor expansion of -1 in ky
11.424 * [backup-simplify]: Simplify -1 into -1
11.424 * [taylor]: Taking taylor expansion of kx in ky
11.424 * [backup-simplify]: Simplify kx into kx
11.424 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.424 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.424 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.424 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.425 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.425 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.425 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.425 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.425 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.425 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.425 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.425 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.425 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.425 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.426 * [backup-simplify]: Simplify (+ 0) into 0
11.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.426 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.427 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.427 * [backup-simplify]: Simplify (+ 0 0) into 0
11.428 * [backup-simplify]: Simplify (+ 0) into 0
11.428 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.428 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.430 * [backup-simplify]: Simplify (+ 0 0) into 0
11.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.431 * [backup-simplify]: Simplify (+ 0 0) into 0
11.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.431 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.431 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.432 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.432 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.432 * [taylor]: Taking taylor expansion of -1 in kx
11.432 * [backup-simplify]: Simplify -1 into -1
11.432 * [taylor]: Taking taylor expansion of kx in kx
11.432 * [backup-simplify]: Simplify 0 into 0
11.432 * [backup-simplify]: Simplify 1 into 1
11.432 * [backup-simplify]: Simplify (/ -1 1) into -1
11.432 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.432 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.432 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.432 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.432 * [taylor]: Taking taylor expansion of -1 in kx
11.432 * [backup-simplify]: Simplify -1 into -1
11.433 * [taylor]: Taking taylor expansion of ky in kx
11.433 * [backup-simplify]: Simplify ky into ky
11.433 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.433 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.433 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.433 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.433 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.433 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.433 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.434 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.434 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.434 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.435 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.435 * [backup-simplify]: Simplify (+ 0) into 0
11.435 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.436 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.436 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.437 * [backup-simplify]: Simplify (+ 0 0) into 0
11.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.437 * [backup-simplify]: Simplify (+ 0 0) into 0
11.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.438 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.438 * [taylor]: Taking taylor expansion of 0 in kx
11.438 * [backup-simplify]: Simplify 0 into 0
11.438 * [backup-simplify]: Simplify 0 into 0
11.438 * [backup-simplify]: Simplify 0 into 0
11.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.439 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.439 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.440 * [backup-simplify]: Simplify (+ 0 0) into 0
11.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.441 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.442 * [backup-simplify]: Simplify (+ 0 0) into 0
11.443 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.443 * [backup-simplify]: Simplify (+ 0 0) into 0
11.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.444 * [taylor]: Taking taylor expansion of 0 in kx
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.445 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.446 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.446 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.447 * [backup-simplify]: Simplify (+ 0 0) into 0
11.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.447 * [backup-simplify]: Simplify (+ 0 0) into 0
11.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.448 * [backup-simplify]: Simplify 0 into 0
11.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
11.449 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.450 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.451 * [backup-simplify]: Simplify (+ 0 0) into 0
11.452 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.453 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.454 * [backup-simplify]: Simplify (+ 0 0) into 0
11.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
11.455 * [backup-simplify]: Simplify (+ 0 0) into 0
11.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.456 * [taylor]: Taking taylor expansion of 0 in kx
11.456 * [backup-simplify]: Simplify 0 into 0
11.456 * [backup-simplify]: Simplify 0 into 0
11.456 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.456 * * * [progress]: simplifying candidates
11.457 * [simplify]: Simplifying:
  (expm1 (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (log1p (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
  (+ (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))) (log (sin th)))
  (+ (log (/ (sin ky) (hypot (sin ky) (sin kx)))) (log (sin th)))
  (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (exp (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (* (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))) (* (* (sin th) (sin th)) (sin th)))
  (* (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (* (* (sin th) (sin th)) (sin th)))
  (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (* (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (sqrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (sqrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sqrt (sin th)))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) 1)
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))
  (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))) (sin th))
  (* (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))) (sin th))
  (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))
  (* (/ 1 (hypot (sin ky) (sin kx))) (sin th))
  (* (sin ky) (sin th))
  (expm1 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log1p (/ (sin ky) (hypot (sin ky) (sin kx))))
  (- (log (sin ky)) (log (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (exp (/ (sin ky) (hypot (sin ky) (sin kx))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (- (sin ky))
  (- (hypot (sin ky) (sin kx)))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)
  (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) 1)
  (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ 1 (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ 1 1)
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) 1)
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (* 1/6 (* kx (* ky th)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.459 * * [simplify]: iteration 0: 132 enodes
11.508 * * [simplify]: iteration 1: 304 enodes
11.608 * * [simplify]: iteration 2: 970 enodes
12.160 * * [simplify]: iteration 3: 2899 enodes
13.077 * * [simplify]: iteration complete: 5007 enodes
13.077 * * [simplify]: Extracting #0: cost 73 inf + 0
13.078 * * [simplify]: Extracting #1: cost 592 inf + 1
13.084 * * [simplify]: Extracting #2: cost 1516 inf + 4979
13.097 * * [simplify]: Extracting #3: cost 1277 inf + 75442
13.152 * * [simplify]: Extracting #4: cost 340 inf + 368360
13.280 * * [simplify]: Extracting #5: cost 21 inf + 480441
13.386 * * [simplify]: Extracting #6: cost 0 inf + 488453
13.505 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (log1p (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))
  (log (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (log (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (log (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (exp (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (sin th)))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (sin th)))
  (* (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (sin th)))
  (sqrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (sqrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (sin th)))
  (/ (sqrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin th))))
  (/ (sqrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin th))))
  (* (cbrt (sin th)) (/ (* (sin ky) (cbrt (sin th))) (hypot (sin ky) (sin kx))))
  (/ (* (sin ky) (sqrt (sin th))) (hypot (sin ky) (sin kx)))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))
  (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (sin th))
  (* (sin th) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin ky) (sin kx))))
  (* (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))) (sin th))
  (/ (* (sin th) (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))
  (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (* (sin th) (sin ky))
  (expm1 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log1p (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (log (/ (sin ky) (hypot (sin ky) (sin kx))))
  (exp (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (- (sin ky))
  (- (hypot (sin ky) (sin kx)))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))
  (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ 1 (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  1
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (sin ky)
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (* 1/6 (* (* ky kx) th))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (fma 1/6 (* ky kx) (fma (* (* ky ky) (* ky kx)) -71/720 (* (* (* (* ky kx) kx) kx) 7/360)))
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))
  (fma kx (- (* (* 1/12 ky) ky) (* 1/6 (* kx kx))) kx)
  (hypot (sin ky) (sin kx))
  (hypot (sin ky) (sin kx))
13.513 * * * [progress]: adding candidates to table
14.100 * * [progress]: iteration 3 / 4
14.100 * * * [progress]: picking best candidate
14.279 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))>
14.280 * * * [progress]: localizing error
14.365 * * * [progress]: generating rewritten candidates
14.365 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
14.369 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
14.373 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
14.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
14.429 * * * [progress]: generating series expansions
14.429 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
14.430 * [backup-simplify]: Simplify (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) into (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3)
14.430 * [approximate]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in (ky kx) around 0
14.430 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in kx
14.430 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in kx
14.430 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in kx
14.430 * [taylor]: Taking taylor expansion of 1/3 in kx
14.430 * [backup-simplify]: Simplify 1/3 into 1/3
14.430 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in kx
14.430 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
14.430 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.430 * [taylor]: Taking taylor expansion of ky in kx
14.430 * [backup-simplify]: Simplify ky into ky
14.430 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.430 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.430 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
14.430 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.430 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
14.430 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
14.430 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.430 * [taylor]: Taking taylor expansion of ky in kx
14.430 * [backup-simplify]: Simplify ky into ky
14.430 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.430 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.430 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.430 * [taylor]: Taking taylor expansion of ky in kx
14.430 * [backup-simplify]: Simplify ky into ky
14.430 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.430 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.430 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
14.430 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.430 * [taylor]: Taking taylor expansion of kx in kx
14.430 * [backup-simplify]: Simplify 0 into 0
14.430 * [backup-simplify]: Simplify 1 into 1
14.430 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.430 * [taylor]: Taking taylor expansion of kx in kx
14.430 * [backup-simplify]: Simplify 0 into 0
14.430 * [backup-simplify]: Simplify 1 into 1
14.431 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.431 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.431 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.431 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.431 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.431 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.431 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.431 * [backup-simplify]: Simplify (* 0 0) into 0
14.432 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
14.432 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
14.432 * [backup-simplify]: Simplify (+ 0) into 0
14.432 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.433 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.433 * [backup-simplify]: Simplify (+ 0 0) into 0
14.433 * [backup-simplify]: Simplify (+ 0) into 0
14.434 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.434 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.435 * [backup-simplify]: Simplify (+ 0 0) into 0
14.435 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.436 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.436 * [backup-simplify]: Simplify (+ 0 0) into 0
14.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
14.436 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.437 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.437 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.437 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
14.437 * [backup-simplify]: Simplify (log 1) into 0
14.437 * [backup-simplify]: Simplify (* 1/3 0) into 0
14.437 * [backup-simplify]: Simplify (+ 0) into 0
14.438 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.438 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.439 * [backup-simplify]: Simplify (+ 0 0) into 0
14.439 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))))) into 0
14.440 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.440 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
14.440 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.441 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.441 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.442 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.447 * [backup-simplify]: Simplify (+ 0 0) into 0
14.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.448 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.448 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.448 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.449 * [backup-simplify]: Simplify (+ 0 0) into 0
14.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.450 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.450 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.451 * [backup-simplify]: Simplify (+ 0 0) into 0
14.451 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
14.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.453 * [backup-simplify]: Simplify (+ 0 1) into 1
14.453 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
14.453 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ (/ 1/2 (sin ky)) (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (* 1/2 (/ 1 (pow (sin ky) 2))))
14.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (sin ky) 2))))) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow (sin ky) 2))
14.455 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/6 (/ 1 (pow (sin ky) 2))))
14.455 * [backup-simplify]: Simplify (exp 0) into 1
14.455 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
14.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
14.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
14.455 * [taylor]: Taking taylor expansion of 1/3 in ky
14.455 * [backup-simplify]: Simplify 1/3 into 1/3
14.455 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
14.455 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
14.455 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.455 * [taylor]: Taking taylor expansion of ky in ky
14.455 * [backup-simplify]: Simplify 0 into 0
14.455 * [backup-simplify]: Simplify 1 into 1
14.455 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
14.455 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.455 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
14.455 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.455 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.455 * [taylor]: Taking taylor expansion of ky in ky
14.455 * [backup-simplify]: Simplify 0 into 0
14.456 * [backup-simplify]: Simplify 1 into 1
14.456 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.456 * [taylor]: Taking taylor expansion of ky in ky
14.456 * [backup-simplify]: Simplify 0 into 0
14.456 * [backup-simplify]: Simplify 1 into 1
14.456 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.456 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.456 * [taylor]: Taking taylor expansion of kx in ky
14.456 * [backup-simplify]: Simplify kx into kx
14.456 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.456 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.456 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.456 * [taylor]: Taking taylor expansion of kx in ky
14.456 * [backup-simplify]: Simplify kx into kx
14.456 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.456 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.456 * [backup-simplify]: Simplify (* 0 0) into 0
14.457 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.457 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.457 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.457 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.457 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.457 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.457 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.457 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
14.457 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.459 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.460 * [backup-simplify]: Simplify (+ 0) into 0
14.460 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.462 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.462 * [backup-simplify]: Simplify (+ 0 0) into 0
14.463 * [backup-simplify]: Simplify (+ 0) into 0
14.463 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.464 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.465 * [backup-simplify]: Simplify (+ 0 0) into 0
14.465 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.465 * [backup-simplify]: Simplify (+ 0 0) into 0
14.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.466 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.466 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
14.467 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.467 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
14.467 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
14.467 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
14.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
14.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
14.467 * [taylor]: Taking taylor expansion of 1/3 in ky
14.468 * [backup-simplify]: Simplify 1/3 into 1/3
14.468 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
14.468 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
14.468 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.468 * [taylor]: Taking taylor expansion of ky in ky
14.468 * [backup-simplify]: Simplify 0 into 0
14.468 * [backup-simplify]: Simplify 1 into 1
14.468 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
14.468 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.468 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
14.468 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.468 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.468 * [taylor]: Taking taylor expansion of ky in ky
14.468 * [backup-simplify]: Simplify 0 into 0
14.468 * [backup-simplify]: Simplify 1 into 1
14.468 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.468 * [taylor]: Taking taylor expansion of ky in ky
14.468 * [backup-simplify]: Simplify 0 into 0
14.468 * [backup-simplify]: Simplify 1 into 1
14.468 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.468 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.468 * [taylor]: Taking taylor expansion of kx in ky
14.468 * [backup-simplify]: Simplify kx into kx
14.468 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.468 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.468 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.468 * [taylor]: Taking taylor expansion of kx in ky
14.468 * [backup-simplify]: Simplify kx into kx
14.468 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.469 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.469 * [backup-simplify]: Simplify (* 0 0) into 0
14.469 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.469 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.469 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.469 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.469 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.469 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.470 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.470 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
14.470 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.472 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.472 * [backup-simplify]: Simplify (+ 0) into 0
14.473 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.474 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.474 * [backup-simplify]: Simplify (+ 0 0) into 0
14.475 * [backup-simplify]: Simplify (+ 0) into 0
14.475 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.476 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.477 * [backup-simplify]: Simplify (+ 0 0) into 0
14.477 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.477 * [backup-simplify]: Simplify (+ 0 0) into 0
14.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.478 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.478 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
14.479 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.479 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
14.479 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
14.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
14.480 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
14.480 * [taylor]: Taking taylor expansion of 1/3 in kx
14.480 * [backup-simplify]: Simplify 1/3 into 1/3
14.480 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
14.480 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
14.480 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.480 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.480 * [taylor]: Taking taylor expansion of kx in kx
14.480 * [backup-simplify]: Simplify 0 into 0
14.480 * [backup-simplify]: Simplify 1 into 1
14.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.481 * [backup-simplify]: Simplify (/ 1 1) into 1
14.481 * [backup-simplify]: Simplify (log 1) into 0
14.481 * [taylor]: Taking taylor expansion of (log ky) in kx
14.481 * [taylor]: Taking taylor expansion of ky in kx
14.481 * [backup-simplify]: Simplify ky into ky
14.481 * [backup-simplify]: Simplify (log ky) into (log ky)
14.482 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
14.482 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
14.482 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
14.482 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
14.482 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
14.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.483 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
14.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sin kx)) 1)))) 1) into 0
14.485 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.485 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky)))) into 0
14.486 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.486 * [taylor]: Taking taylor expansion of 0 in kx
14.486 * [backup-simplify]: Simplify 0 into 0
14.486 * [backup-simplify]: Simplify 0 into 0
14.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
14.491 * [backup-simplify]: Simplify (+ 0 0) into 0
14.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
14.492 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.492 * [backup-simplify]: Simplify 0 into 0
14.493 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.494 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.495 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.496 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.496 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.496 * [backup-simplify]: Simplify (+ 0 0) into 0
14.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.497 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.498 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.498 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.498 * [backup-simplify]: Simplify (+ 0 0) into 0
14.499 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
14.499 * [backup-simplify]: Simplify (+ 1 0) into 1
14.499 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
14.500 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
14.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) 1)) (pow (/ 1 (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
14.501 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.502 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
14.502 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18)) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))))
14.502 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))))) in kx
14.502 * [taylor]: Taking taylor expansion of -1 in kx
14.503 * [backup-simplify]: Simplify -1 into -1
14.503 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))) in kx
14.503 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
14.503 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
14.503 * [taylor]: Taking taylor expansion of 1/6 in kx
14.503 * [backup-simplify]: Simplify 1/6 into 1/6
14.503 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
14.503 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
14.503 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.503 * [taylor]: Taking taylor expansion of kx in kx
14.503 * [backup-simplify]: Simplify 0 into 0
14.503 * [backup-simplify]: Simplify 1 into 1
14.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.503 * [backup-simplify]: Simplify (* 1 1) into 1
14.504 * [backup-simplify]: Simplify (/ 1 1) into 1
14.504 * [taylor]: Taking taylor expansion of 1/18 in kx
14.504 * [backup-simplify]: Simplify 1/18 into 1/18
14.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
14.504 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
14.504 * [taylor]: Taking taylor expansion of 1/3 in kx
14.504 * [backup-simplify]: Simplify 1/3 into 1/3
14.504 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
14.504 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
14.504 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.504 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.504 * [taylor]: Taking taylor expansion of kx in kx
14.504 * [backup-simplify]: Simplify 0 into 0
14.504 * [backup-simplify]: Simplify 1 into 1
14.504 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.504 * [backup-simplify]: Simplify (/ 1 1) into 1
14.505 * [backup-simplify]: Simplify (log 1) into 0
14.505 * [taylor]: Taking taylor expansion of (log ky) in kx
14.505 * [taylor]: Taking taylor expansion of ky in kx
14.505 * [backup-simplify]: Simplify ky into ky
14.505 * [backup-simplify]: Simplify (log ky) into (log ky)
14.505 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
14.505 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
14.505 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
14.505 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
14.506 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
14.506 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.506 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
14.509 * [backup-simplify]: Simplify (+ 0 0) into 0
14.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
14.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
14.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
14.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
14.514 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.514 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
14.515 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
14.516 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.517 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
14.517 * [backup-simplify]: Simplify (+ 0 0) into 0
14.518 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.519 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
14.521 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
14.521 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
14.522 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (log ky) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))
14.523 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (log ky) (log kx)))))) into 0
14.523 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))
14.524 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
14.524 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
14.524 * [backup-simplify]: Simplify 0 into 0
14.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
14.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
14.531 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
14.532 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.533 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
14.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
14.534 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
14.536 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) (pow (* kx 1) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (log ky) (log kx)))))) into (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
14.536 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
14.536 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx) around 0
14.536 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
14.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
14.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
14.536 * [taylor]: Taking taylor expansion of 1/3 in kx
14.536 * [backup-simplify]: Simplify 1/3 into 1/3
14.536 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
14.536 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
14.536 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.536 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.536 * [taylor]: Taking taylor expansion of ky in kx
14.536 * [backup-simplify]: Simplify ky into ky
14.536 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.536 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.537 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.537 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
14.537 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.537 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
14.537 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
14.537 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.537 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.537 * [taylor]: Taking taylor expansion of ky in kx
14.537 * [backup-simplify]: Simplify ky into ky
14.537 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.537 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.537 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.537 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.537 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.537 * [taylor]: Taking taylor expansion of ky in kx
14.537 * [backup-simplify]: Simplify ky into ky
14.537 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.537 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.537 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.537 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
14.537 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.537 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.537 * [taylor]: Taking taylor expansion of kx in kx
14.538 * [backup-simplify]: Simplify 0 into 0
14.538 * [backup-simplify]: Simplify 1 into 1
14.538 * [backup-simplify]: Simplify (/ 1 1) into 1
14.538 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.538 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.538 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.538 * [taylor]: Taking taylor expansion of kx in kx
14.538 * [backup-simplify]: Simplify 0 into 0
14.538 * [backup-simplify]: Simplify 1 into 1
14.539 * [backup-simplify]: Simplify (/ 1 1) into 1
14.539 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.539 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.539 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.539 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.539 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.539 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.539 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.540 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.540 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.540 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.540 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.541 * [backup-simplify]: Simplify (+ 0) into 0
14.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.543 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.543 * [backup-simplify]: Simplify (+ 0 0) into 0
14.543 * [backup-simplify]: Simplify (+ 0) into 0
14.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.545 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.546 * [backup-simplify]: Simplify (+ 0 0) into 0
14.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.546 * [backup-simplify]: Simplify (+ 0 0) into 0
14.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.547 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.547 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.547 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.548 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.548 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.549 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.549 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.549 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
14.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
14.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
14.549 * [taylor]: Taking taylor expansion of 1/3 in ky
14.549 * [backup-simplify]: Simplify 1/3 into 1/3
14.549 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
14.550 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
14.550 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.550 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.550 * [taylor]: Taking taylor expansion of ky in ky
14.550 * [backup-simplify]: Simplify 0 into 0
14.550 * [backup-simplify]: Simplify 1 into 1
14.550 * [backup-simplify]: Simplify (/ 1 1) into 1
14.550 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.550 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
14.550 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.550 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
14.550 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.550 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.550 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.550 * [taylor]: Taking taylor expansion of ky in ky
14.551 * [backup-simplify]: Simplify 0 into 0
14.551 * [backup-simplify]: Simplify 1 into 1
14.551 * [backup-simplify]: Simplify (/ 1 1) into 1
14.551 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.551 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.551 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.551 * [taylor]: Taking taylor expansion of ky in ky
14.551 * [backup-simplify]: Simplify 0 into 0
14.551 * [backup-simplify]: Simplify 1 into 1
14.551 * [backup-simplify]: Simplify (/ 1 1) into 1
14.551 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.551 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.552 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.552 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.552 * [taylor]: Taking taylor expansion of kx in ky
14.552 * [backup-simplify]: Simplify kx into kx
14.552 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.552 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.552 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.552 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.552 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.552 * [taylor]: Taking taylor expansion of kx in ky
14.552 * [backup-simplify]: Simplify kx into kx
14.552 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.552 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.552 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.552 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.552 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.552 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.552 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.552 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.552 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.553 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.553 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.553 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.553 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.553 * [backup-simplify]: Simplify (+ 0) into 0
14.554 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.555 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.555 * [backup-simplify]: Simplify (+ 0 0) into 0
14.555 * [backup-simplify]: Simplify (+ 0) into 0
14.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.556 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.556 * [backup-simplify]: Simplify (+ 0 0) into 0
14.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.557 * [backup-simplify]: Simplify (+ 0 0) into 0
14.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.557 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.558 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.558 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.558 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.558 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
14.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
14.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
14.558 * [taylor]: Taking taylor expansion of 1/3 in ky
14.558 * [backup-simplify]: Simplify 1/3 into 1/3
14.558 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
14.558 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
14.558 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.558 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.558 * [taylor]: Taking taylor expansion of ky in ky
14.558 * [backup-simplify]: Simplify 0 into 0
14.558 * [backup-simplify]: Simplify 1 into 1
14.559 * [backup-simplify]: Simplify (/ 1 1) into 1
14.559 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.559 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
14.559 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.559 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
14.559 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.559 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.559 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.559 * [taylor]: Taking taylor expansion of ky in ky
14.559 * [backup-simplify]: Simplify 0 into 0
14.559 * [backup-simplify]: Simplify 1 into 1
14.559 * [backup-simplify]: Simplify (/ 1 1) into 1
14.559 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.559 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.559 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.559 * [taylor]: Taking taylor expansion of ky in ky
14.559 * [backup-simplify]: Simplify 0 into 0
14.559 * [backup-simplify]: Simplify 1 into 1
14.560 * [backup-simplify]: Simplify (/ 1 1) into 1
14.560 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.560 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.560 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.560 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.560 * [taylor]: Taking taylor expansion of kx in ky
14.560 * [backup-simplify]: Simplify kx into kx
14.560 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.560 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.560 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.560 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.560 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.560 * [taylor]: Taking taylor expansion of kx in ky
14.560 * [backup-simplify]: Simplify kx into kx
14.560 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.560 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.560 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.560 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.560 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.560 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.560 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.560 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.560 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.561 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.561 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.561 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.561 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.561 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.561 * [backup-simplify]: Simplify (+ 0) into 0
14.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.563 * [backup-simplify]: Simplify (+ 0 0) into 0
14.563 * [backup-simplify]: Simplify (+ 0) into 0
14.563 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.564 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.564 * [backup-simplify]: Simplify (+ 0 0) into 0
14.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.565 * [backup-simplify]: Simplify (+ 0 0) into 0
14.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.565 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.566 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.566 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.566 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.566 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) in kx
14.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) in kx
14.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) in kx
14.566 * [taylor]: Taking taylor expansion of 1/3 in kx
14.566 * [backup-simplify]: Simplify 1/3 into 1/3
14.566 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
14.566 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
14.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
14.566 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
14.566 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
14.566 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
14.566 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.566 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.567 * [taylor]: Taking taylor expansion of kx in kx
14.567 * [backup-simplify]: Simplify 0 into 0
14.567 * [backup-simplify]: Simplify 1 into 1
14.567 * [backup-simplify]: Simplify (/ 1 1) into 1
14.567 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.567 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
14.567 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.567 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.567 * [taylor]: Taking taylor expansion of ky in kx
14.567 * [backup-simplify]: Simplify ky into ky
14.567 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.567 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.567 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.567 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.567 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.567 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.567 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.567 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.568 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.568 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.568 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
14.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.568 * [backup-simplify]: Simplify (+ 0) into 0
14.569 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.573 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.573 * [backup-simplify]: Simplify (+ 0 0) into 0
14.573 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.574 * [backup-simplify]: Simplify (+ 0 0) into 0
14.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.574 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.574 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.574 * [taylor]: Taking taylor expansion of ky in kx
14.574 * [backup-simplify]: Simplify ky into ky
14.574 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.574 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.575 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.575 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.575 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.575 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.575 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.575 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.576 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.576 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.576 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.577 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
14.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
14.579 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.580 * [taylor]: Taking taylor expansion of 0 in kx
14.580 * [backup-simplify]: Simplify 0 into 0
14.580 * [backup-simplify]: Simplify 0 into 0
14.580 * [backup-simplify]: Simplify (+ 0) into 0
14.580 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.582 * [backup-simplify]: Simplify (+ 0 0) into 0
14.583 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
14.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
14.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
14.587 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.587 * [backup-simplify]: Simplify 0 into 0
14.588 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.591 * [backup-simplify]: Simplify (+ 0 0) into 0
14.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.593 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.594 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.594 * [backup-simplify]: Simplify (+ 0 0) into 0
14.595 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.595 * [backup-simplify]: Simplify (+ 0 0) into 0
14.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.598 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
14.602 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
14.604 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.604 * [taylor]: Taking taylor expansion of 0 in kx
14.604 * [backup-simplify]: Simplify 0 into 0
14.604 * [backup-simplify]: Simplify 0 into 0
14.604 * [backup-simplify]: Simplify 0 into 0
14.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.605 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.606 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.606 * [backup-simplify]: Simplify (+ 0 0) into 0
14.607 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.608 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.609 * [backup-simplify]: Simplify (+ 0 0) into 0
14.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.609 * [backup-simplify]: Simplify (+ 0 0) into 0
14.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.611 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.612 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
14.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
14.615 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.615 * [backup-simplify]: Simplify 0 into 0
14.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
14.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.618 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.619 * [backup-simplify]: Simplify (+ 0 0) into 0
14.619 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.621 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.621 * [backup-simplify]: Simplify (+ 0 0) into 0
14.622 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
14.622 * [backup-simplify]: Simplify (+ 0 0) into 0
14.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.624 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.627 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 6) into 0
14.628 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))))) into 0
14.629 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.629 * [taylor]: Taking taylor expansion of 0 in kx
14.629 * [backup-simplify]: Simplify 0 into 0
14.629 * [backup-simplify]: Simplify 0 into 0
14.629 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
14.629 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
14.629 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx) around 0
14.629 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
14.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
14.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
14.630 * [taylor]: Taking taylor expansion of 1/3 in kx
14.630 * [backup-simplify]: Simplify 1/3 into 1/3
14.630 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
14.630 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
14.630 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.630 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.630 * [taylor]: Taking taylor expansion of -1 in kx
14.630 * [backup-simplify]: Simplify -1 into -1
14.630 * [taylor]: Taking taylor expansion of ky in kx
14.630 * [backup-simplify]: Simplify ky into ky
14.630 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.630 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.630 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.630 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
14.630 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.630 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
14.630 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
14.630 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.630 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.630 * [taylor]: Taking taylor expansion of -1 in kx
14.630 * [backup-simplify]: Simplify -1 into -1
14.630 * [taylor]: Taking taylor expansion of ky in kx
14.630 * [backup-simplify]: Simplify ky into ky
14.630 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.630 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.630 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.630 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.630 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.630 * [taylor]: Taking taylor expansion of -1 in kx
14.630 * [backup-simplify]: Simplify -1 into -1
14.630 * [taylor]: Taking taylor expansion of ky in kx
14.630 * [backup-simplify]: Simplify ky into ky
14.630 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.630 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.630 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.630 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
14.630 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.630 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.630 * [taylor]: Taking taylor expansion of -1 in kx
14.630 * [backup-simplify]: Simplify -1 into -1
14.630 * [taylor]: Taking taylor expansion of kx in kx
14.630 * [backup-simplify]: Simplify 0 into 0
14.631 * [backup-simplify]: Simplify 1 into 1
14.631 * [backup-simplify]: Simplify (/ -1 1) into -1
14.631 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.631 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.631 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.631 * [taylor]: Taking taylor expansion of -1 in kx
14.631 * [backup-simplify]: Simplify -1 into -1
14.631 * [taylor]: Taking taylor expansion of kx in kx
14.631 * [backup-simplify]: Simplify 0 into 0
14.631 * [backup-simplify]: Simplify 1 into 1
14.631 * [backup-simplify]: Simplify (/ -1 1) into -1
14.631 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.631 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.631 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.631 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.632 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.632 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.632 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.632 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.632 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.632 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.632 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.633 * [backup-simplify]: Simplify (+ 0) into 0
14.633 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.633 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.634 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.634 * [backup-simplify]: Simplify (+ 0 0) into 0
14.634 * [backup-simplify]: Simplify (+ 0) into 0
14.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.635 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.636 * [backup-simplify]: Simplify (+ 0 0) into 0
14.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.636 * [backup-simplify]: Simplify (+ 0 0) into 0
14.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.637 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.637 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.637 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.638 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.638 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.639 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
14.639 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.639 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
14.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
14.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
14.640 * [taylor]: Taking taylor expansion of 1/3 in ky
14.640 * [backup-simplify]: Simplify 1/3 into 1/3
14.640 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
14.640 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
14.640 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.640 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.640 * [taylor]: Taking taylor expansion of -1 in ky
14.640 * [backup-simplify]: Simplify -1 into -1
14.640 * [taylor]: Taking taylor expansion of ky in ky
14.640 * [backup-simplify]: Simplify 0 into 0
14.640 * [backup-simplify]: Simplify 1 into 1
14.640 * [backup-simplify]: Simplify (/ -1 1) into -1
14.640 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.640 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
14.641 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.641 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
14.641 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.641 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.641 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.641 * [taylor]: Taking taylor expansion of -1 in ky
14.641 * [backup-simplify]: Simplify -1 into -1
14.641 * [taylor]: Taking taylor expansion of ky in ky
14.641 * [backup-simplify]: Simplify 0 into 0
14.641 * [backup-simplify]: Simplify 1 into 1
14.641 * [backup-simplify]: Simplify (/ -1 1) into -1
14.641 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.641 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.641 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.641 * [taylor]: Taking taylor expansion of -1 in ky
14.641 * [backup-simplify]: Simplify -1 into -1
14.641 * [taylor]: Taking taylor expansion of ky in ky
14.641 * [backup-simplify]: Simplify 0 into 0
14.641 * [backup-simplify]: Simplify 1 into 1
14.642 * [backup-simplify]: Simplify (/ -1 1) into -1
14.642 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.642 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.642 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.642 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.642 * [taylor]: Taking taylor expansion of -1 in ky
14.642 * [backup-simplify]: Simplify -1 into -1
14.642 * [taylor]: Taking taylor expansion of kx in ky
14.642 * [backup-simplify]: Simplify kx into kx
14.642 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.642 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.642 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.642 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.642 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.642 * [taylor]: Taking taylor expansion of -1 in ky
14.642 * [backup-simplify]: Simplify -1 into -1
14.643 * [taylor]: Taking taylor expansion of kx in ky
14.643 * [backup-simplify]: Simplify kx into kx
14.643 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.643 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.643 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.643 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.643 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.643 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.643 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.643 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.643 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.644 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.644 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.644 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.645 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.645 * [backup-simplify]: Simplify (+ 0) into 0
14.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.646 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.647 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.648 * [backup-simplify]: Simplify (+ 0 0) into 0
14.648 * [backup-simplify]: Simplify (+ 0) into 0
14.648 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.649 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.650 * [backup-simplify]: Simplify (+ 0 0) into 0
14.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.651 * [backup-simplify]: Simplify (+ 0 0) into 0
14.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.652 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.652 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.653 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
14.654 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.654 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
14.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
14.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
14.654 * [taylor]: Taking taylor expansion of 1/3 in ky
14.654 * [backup-simplify]: Simplify 1/3 into 1/3
14.654 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
14.654 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
14.654 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.654 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.654 * [taylor]: Taking taylor expansion of -1 in ky
14.654 * [backup-simplify]: Simplify -1 into -1
14.654 * [taylor]: Taking taylor expansion of ky in ky
14.654 * [backup-simplify]: Simplify 0 into 0
14.654 * [backup-simplify]: Simplify 1 into 1
14.654 * [backup-simplify]: Simplify (/ -1 1) into -1
14.655 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.655 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
14.655 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.655 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
14.655 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.655 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.655 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.655 * [taylor]: Taking taylor expansion of -1 in ky
14.655 * [backup-simplify]: Simplify -1 into -1
14.655 * [taylor]: Taking taylor expansion of ky in ky
14.655 * [backup-simplify]: Simplify 0 into 0
14.655 * [backup-simplify]: Simplify 1 into 1
14.655 * [backup-simplify]: Simplify (/ -1 1) into -1
14.656 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.656 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.656 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.656 * [taylor]: Taking taylor expansion of -1 in ky
14.656 * [backup-simplify]: Simplify -1 into -1
14.656 * [taylor]: Taking taylor expansion of ky in ky
14.656 * [backup-simplify]: Simplify 0 into 0
14.656 * [backup-simplify]: Simplify 1 into 1
14.656 * [backup-simplify]: Simplify (/ -1 1) into -1
14.656 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.656 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.656 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.656 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.656 * [taylor]: Taking taylor expansion of -1 in ky
14.656 * [backup-simplify]: Simplify -1 into -1
14.656 * [taylor]: Taking taylor expansion of kx in ky
14.656 * [backup-simplify]: Simplify kx into kx
14.656 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.657 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.657 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.657 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.657 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.657 * [taylor]: Taking taylor expansion of -1 in ky
14.657 * [backup-simplify]: Simplify -1 into -1
14.657 * [taylor]: Taking taylor expansion of kx in ky
14.657 * [backup-simplify]: Simplify kx into kx
14.657 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.657 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.657 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.657 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.657 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.657 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.658 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.658 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.658 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.658 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.658 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.658 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.659 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.659 * [backup-simplify]: Simplify (+ 0) into 0
14.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.660 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.661 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.662 * [backup-simplify]: Simplify (+ 0 0) into 0
14.662 * [backup-simplify]: Simplify (+ 0) into 0
14.662 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.663 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.664 * [backup-simplify]: Simplify (+ 0 0) into 0
14.664 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.665 * [backup-simplify]: Simplify (+ 0 0) into 0
14.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.666 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.666 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.667 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
14.667 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.667 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) in kx
14.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) in kx
14.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) in kx
14.668 * [taylor]: Taking taylor expansion of 1/3 in kx
14.668 * [backup-simplify]: Simplify 1/3 into 1/3
14.668 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
14.668 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
14.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
14.668 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
14.668 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
14.668 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
14.668 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.668 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.668 * [taylor]: Taking taylor expansion of -1 in kx
14.668 * [backup-simplify]: Simplify -1 into -1
14.668 * [taylor]: Taking taylor expansion of kx in kx
14.668 * [backup-simplify]: Simplify 0 into 0
14.668 * [backup-simplify]: Simplify 1 into 1
14.668 * [backup-simplify]: Simplify (/ -1 1) into -1
14.668 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.668 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
14.669 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.669 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.669 * [taylor]: Taking taylor expansion of -1 in kx
14.669 * [backup-simplify]: Simplify -1 into -1
14.669 * [taylor]: Taking taylor expansion of ky in kx
14.669 * [backup-simplify]: Simplify ky into ky
14.669 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.669 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.669 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.669 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.669 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.669 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.669 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.669 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.670 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.670 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.671 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
14.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.671 * [backup-simplify]: Simplify (+ 0) into 0
14.672 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.672 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.673 * [backup-simplify]: Simplify (+ 0 0) into 0
14.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.674 * [backup-simplify]: Simplify (+ 0 0) into 0
14.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.675 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.675 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.675 * [taylor]: Taking taylor expansion of -1 in kx
14.675 * [backup-simplify]: Simplify -1 into -1
14.675 * [taylor]: Taking taylor expansion of ky in kx
14.675 * [backup-simplify]: Simplify ky into ky
14.676 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.676 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.676 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.676 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.676 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.676 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.677 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.677 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.678 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
14.678 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.679 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.680 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
14.681 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
14.682 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.682 * [taylor]: Taking taylor expansion of 0 in kx
14.682 * [backup-simplify]: Simplify 0 into 0
14.682 * [backup-simplify]: Simplify 0 into 0
14.682 * [backup-simplify]: Simplify (+ 0) into 0
14.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.683 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.684 * [backup-simplify]: Simplify (+ 0 0) into 0
14.684 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
14.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
14.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
14.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.686 * [backup-simplify]: Simplify 0 into 0
14.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.688 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.688 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.689 * [backup-simplify]: Simplify (+ 0 0) into 0
14.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.690 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.690 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.691 * [backup-simplify]: Simplify (+ 0 0) into 0
14.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
14.692 * [backup-simplify]: Simplify (+ 0 0) into 0
14.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.693 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
14.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
14.697 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.697 * [taylor]: Taking taylor expansion of 0 in kx
14.697 * [backup-simplify]: Simplify 0 into 0
14.697 * [backup-simplify]: Simplify 0 into 0
14.697 * [backup-simplify]: Simplify 0 into 0
14.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.701 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.701 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.701 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.702 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.702 * [backup-simplify]: Simplify (+ 0 0) into 0
14.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
14.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.703 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.704 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.704 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.705 * [backup-simplify]: Simplify (+ 0 0) into 0
14.705 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.705 * [backup-simplify]: Simplify (+ 0 0) into 0
14.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.707 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.707 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
14.712 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
14.713 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.714 * [backup-simplify]: Simplify 0 into 0
14.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
14.715 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.716 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.717 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.719 * [backup-simplify]: Simplify (+ 0 0) into 0
14.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.721 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.721 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.724 * [backup-simplify]: Simplify (+ 0 0) into 0
14.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
14.725 * [backup-simplify]: Simplify (+ 0 0) into 0
14.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.728 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.733 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 6) into 0
14.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))))) into 0
14.737 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.737 * [taylor]: Taking taylor expansion of 0 in kx
14.737 * [backup-simplify]: Simplify 0 into 0
14.737 * [backup-simplify]: Simplify 0 into 0
14.737 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
14.737 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
14.738 * [backup-simplify]: Simplify (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) into (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3)
14.738 * [approximate]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in (ky kx) around 0
14.738 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in kx
14.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in kx
14.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in kx
14.738 * [taylor]: Taking taylor expansion of 1/3 in kx
14.738 * [backup-simplify]: Simplify 1/3 into 1/3
14.738 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in kx
14.738 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
14.738 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.738 * [taylor]: Taking taylor expansion of ky in kx
14.738 * [backup-simplify]: Simplify ky into ky
14.738 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.738 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.738 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
14.738 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.738 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
14.738 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
14.738 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.738 * [taylor]: Taking taylor expansion of ky in kx
14.738 * [backup-simplify]: Simplify ky into ky
14.739 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.739 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.739 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.739 * [taylor]: Taking taylor expansion of ky in kx
14.739 * [backup-simplify]: Simplify ky into ky
14.739 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.739 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.739 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
14.739 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.739 * [taylor]: Taking taylor expansion of kx in kx
14.739 * [backup-simplify]: Simplify 0 into 0
14.739 * [backup-simplify]: Simplify 1 into 1
14.739 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.739 * [taylor]: Taking taylor expansion of kx in kx
14.739 * [backup-simplify]: Simplify 0 into 0
14.739 * [backup-simplify]: Simplify 1 into 1
14.739 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.739 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.739 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.739 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.739 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.740 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.740 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.740 * [backup-simplify]: Simplify (* 0 0) into 0
14.740 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
14.740 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
14.741 * [backup-simplify]: Simplify (+ 0) into 0
14.741 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.742 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.743 * [backup-simplify]: Simplify (+ 0 0) into 0
14.743 * [backup-simplify]: Simplify (+ 0) into 0
14.744 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.745 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.745 * [backup-simplify]: Simplify (+ 0 0) into 0
14.745 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.747 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.748 * [backup-simplify]: Simplify (+ 0 0) into 0
14.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
14.748 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.748 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.748 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.748 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
14.749 * [backup-simplify]: Simplify (log 1) into 0
14.749 * [backup-simplify]: Simplify (* 1/3 0) into 0
14.749 * [backup-simplify]: Simplify (+ 0) into 0
14.750 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.751 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.751 * [backup-simplify]: Simplify (+ 0 0) into 0
14.752 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))))) into 0
14.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
14.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.754 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.755 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.755 * [backup-simplify]: Simplify (+ 0 0) into 0
14.755 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.756 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.756 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.757 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.757 * [backup-simplify]: Simplify (+ 0 0) into 0
14.757 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.758 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.758 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.759 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.759 * [backup-simplify]: Simplify (+ 0 0) into 0
14.759 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
14.760 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.760 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.761 * [backup-simplify]: Simplify (+ 0 1) into 1
14.761 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
14.761 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ (/ 1/2 (sin ky)) (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (* 1/2 (/ 1 (pow (sin ky) 2))))
14.763 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (sin ky) 2))))) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow (sin ky) 2))
14.763 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/6 (/ 1 (pow (sin ky) 2))))
14.763 * [backup-simplify]: Simplify (exp 0) into 1
14.763 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
14.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
14.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
14.763 * [taylor]: Taking taylor expansion of 1/3 in ky
14.763 * [backup-simplify]: Simplify 1/3 into 1/3
14.763 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
14.763 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
14.763 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.763 * [taylor]: Taking taylor expansion of ky in ky
14.763 * [backup-simplify]: Simplify 0 into 0
14.763 * [backup-simplify]: Simplify 1 into 1
14.763 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
14.763 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.763 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
14.763 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.764 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.764 * [taylor]: Taking taylor expansion of ky in ky
14.764 * [backup-simplify]: Simplify 0 into 0
14.764 * [backup-simplify]: Simplify 1 into 1
14.764 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.764 * [taylor]: Taking taylor expansion of ky in ky
14.764 * [backup-simplify]: Simplify 0 into 0
14.764 * [backup-simplify]: Simplify 1 into 1
14.764 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.764 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.764 * [taylor]: Taking taylor expansion of kx in ky
14.764 * [backup-simplify]: Simplify kx into kx
14.764 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.764 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.764 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.764 * [taylor]: Taking taylor expansion of kx in ky
14.764 * [backup-simplify]: Simplify kx into kx
14.764 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.764 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.764 * [backup-simplify]: Simplify (* 0 0) into 0
14.764 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.764 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.764 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.764 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.764 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.764 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.764 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.765 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
14.765 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.766 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.766 * [backup-simplify]: Simplify (+ 0) into 0
14.766 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.767 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.767 * [backup-simplify]: Simplify (+ 0 0) into 0
14.768 * [backup-simplify]: Simplify (+ 0) into 0
14.768 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.769 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.769 * [backup-simplify]: Simplify (+ 0 0) into 0
14.769 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.769 * [backup-simplify]: Simplify (+ 0 0) into 0
14.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.770 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.770 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
14.770 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.770 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
14.770 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
14.770 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
14.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
14.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
14.770 * [taylor]: Taking taylor expansion of 1/3 in ky
14.770 * [backup-simplify]: Simplify 1/3 into 1/3
14.770 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
14.770 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
14.771 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.771 * [taylor]: Taking taylor expansion of ky in ky
14.771 * [backup-simplify]: Simplify 0 into 0
14.771 * [backup-simplify]: Simplify 1 into 1
14.771 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
14.771 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.771 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
14.771 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.771 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.771 * [taylor]: Taking taylor expansion of ky in ky
14.771 * [backup-simplify]: Simplify 0 into 0
14.771 * [backup-simplify]: Simplify 1 into 1
14.771 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.771 * [taylor]: Taking taylor expansion of ky in ky
14.771 * [backup-simplify]: Simplify 0 into 0
14.771 * [backup-simplify]: Simplify 1 into 1
14.771 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.771 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.771 * [taylor]: Taking taylor expansion of kx in ky
14.771 * [backup-simplify]: Simplify kx into kx
14.771 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.771 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.771 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.771 * [taylor]: Taking taylor expansion of kx in ky
14.771 * [backup-simplify]: Simplify kx into kx
14.771 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.771 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.771 * [backup-simplify]: Simplify (* 0 0) into 0
14.771 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.771 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.771 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.771 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.772 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.772 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.772 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.772 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
14.772 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.773 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.773 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.773 * [backup-simplify]: Simplify (+ 0) into 0
14.774 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.774 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.775 * [backup-simplify]: Simplify (+ 0 0) into 0
14.775 * [backup-simplify]: Simplify (+ 0) into 0
14.775 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.776 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.776 * [backup-simplify]: Simplify (+ 0 0) into 0
14.776 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.776 * [backup-simplify]: Simplify (+ 0 0) into 0
14.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.777 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.777 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
14.777 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.777 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
14.778 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
14.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
14.778 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
14.778 * [taylor]: Taking taylor expansion of 1/3 in kx
14.778 * [backup-simplify]: Simplify 1/3 into 1/3
14.778 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
14.778 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
14.778 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.778 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.778 * [taylor]: Taking taylor expansion of kx in kx
14.778 * [backup-simplify]: Simplify 0 into 0
14.778 * [backup-simplify]: Simplify 1 into 1
14.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.778 * [backup-simplify]: Simplify (/ 1 1) into 1
14.779 * [backup-simplify]: Simplify (log 1) into 0
14.779 * [taylor]: Taking taylor expansion of (log ky) in kx
14.779 * [taylor]: Taking taylor expansion of ky in kx
14.779 * [backup-simplify]: Simplify ky into ky
14.779 * [backup-simplify]: Simplify (log ky) into (log ky)
14.779 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
14.779 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
14.779 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
14.779 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
14.779 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
14.780 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.781 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
14.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sin kx)) 1)))) 1) into 0
14.782 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.783 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky)))) into 0
14.784 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.784 * [taylor]: Taking taylor expansion of 0 in kx
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
14.788 * [backup-simplify]: Simplify (+ 0 0) into 0
14.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
14.789 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.789 * [backup-simplify]: Simplify 0 into 0
14.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.792 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.795 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.796 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.796 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.797 * [backup-simplify]: Simplify (+ 0 0) into 0
14.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.798 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.799 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.800 * [backup-simplify]: Simplify (+ 0 0) into 0
14.800 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
14.801 * [backup-simplify]: Simplify (+ 1 0) into 1
14.802 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
14.802 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
14.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) 1)) (pow (/ 1 (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
14.805 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
14.806 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
14.807 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18)) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))))
14.807 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))))) in kx
14.807 * [taylor]: Taking taylor expansion of -1 in kx
14.807 * [backup-simplify]: Simplify -1 into -1
14.807 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))) in kx
14.807 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
14.807 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
14.807 * [taylor]: Taking taylor expansion of 1/6 in kx
14.807 * [backup-simplify]: Simplify 1/6 into 1/6
14.807 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
14.807 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
14.807 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.807 * [taylor]: Taking taylor expansion of kx in kx
14.807 * [backup-simplify]: Simplify 0 into 0
14.807 * [backup-simplify]: Simplify 1 into 1
14.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.808 * [backup-simplify]: Simplify (* 1 1) into 1
14.809 * [backup-simplify]: Simplify (/ 1 1) into 1
14.809 * [taylor]: Taking taylor expansion of 1/18 in kx
14.809 * [backup-simplify]: Simplify 1/18 into 1/18
14.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
14.809 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
14.809 * [taylor]: Taking taylor expansion of 1/3 in kx
14.809 * [backup-simplify]: Simplify 1/3 into 1/3
14.809 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
14.809 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
14.809 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.809 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.809 * [taylor]: Taking taylor expansion of kx in kx
14.809 * [backup-simplify]: Simplify 0 into 0
14.809 * [backup-simplify]: Simplify 1 into 1
14.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.810 * [backup-simplify]: Simplify (/ 1 1) into 1
14.810 * [backup-simplify]: Simplify (log 1) into 0
14.811 * [taylor]: Taking taylor expansion of (log ky) in kx
14.811 * [taylor]: Taking taylor expansion of ky in kx
14.811 * [backup-simplify]: Simplify ky into ky
14.811 * [backup-simplify]: Simplify (log ky) into (log ky)
14.811 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
14.811 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
14.811 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
14.812 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
14.812 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
14.812 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
14.816 * [backup-simplify]: Simplify (+ 0 0) into 0
14.816 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
14.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
14.819 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
14.821 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
14.821 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.821 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
14.822 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
14.823 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.827 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
14.828 * [backup-simplify]: Simplify (+ 0 0) into 0
14.828 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.829 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.830 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
14.831 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
14.831 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
14.832 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (log ky) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))
14.832 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (log ky) (log kx)))))) into 0
14.832 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))
14.833 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
14.833 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
14.833 * [backup-simplify]: Simplify 0 into 0
14.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
14.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
14.837 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
14.837 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.838 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
14.839 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
14.839 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
14.839 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) (pow (* kx 1) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (log ky) (log kx)))))) into (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
14.840 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
14.840 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx) around 0
14.840 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
14.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
14.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
14.840 * [taylor]: Taking taylor expansion of 1/3 in kx
14.840 * [backup-simplify]: Simplify 1/3 into 1/3
14.840 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
14.840 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
14.840 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.840 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.840 * [taylor]: Taking taylor expansion of ky in kx
14.840 * [backup-simplify]: Simplify ky into ky
14.840 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.840 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.840 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.840 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
14.840 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.840 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
14.840 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
14.840 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.840 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.840 * [taylor]: Taking taylor expansion of ky in kx
14.840 * [backup-simplify]: Simplify ky into ky
14.840 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.840 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.840 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.840 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.840 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.840 * [taylor]: Taking taylor expansion of ky in kx
14.840 * [backup-simplify]: Simplify ky into ky
14.840 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.840 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.841 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.841 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
14.841 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.841 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.841 * [taylor]: Taking taylor expansion of kx in kx
14.841 * [backup-simplify]: Simplify 0 into 0
14.841 * [backup-simplify]: Simplify 1 into 1
14.841 * [backup-simplify]: Simplify (/ 1 1) into 1
14.841 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.841 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.841 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.841 * [taylor]: Taking taylor expansion of kx in kx
14.841 * [backup-simplify]: Simplify 0 into 0
14.841 * [backup-simplify]: Simplify 1 into 1
14.841 * [backup-simplify]: Simplify (/ 1 1) into 1
14.841 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.841 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.841 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.841 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.842 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.842 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.842 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.842 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.842 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.842 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.842 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.843 * [backup-simplify]: Simplify (+ 0) into 0
14.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.844 * [backup-simplify]: Simplify (+ 0 0) into 0
14.845 * [backup-simplify]: Simplify (+ 0) into 0
14.845 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.847 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.847 * [backup-simplify]: Simplify (+ 0 0) into 0
14.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.848 * [backup-simplify]: Simplify (+ 0 0) into 0
14.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.848 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.849 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.849 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.849 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.850 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.850 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.851 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.851 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
14.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
14.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
14.851 * [taylor]: Taking taylor expansion of 1/3 in ky
14.851 * [backup-simplify]: Simplify 1/3 into 1/3
14.851 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
14.851 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
14.851 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.851 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.851 * [taylor]: Taking taylor expansion of ky in ky
14.851 * [backup-simplify]: Simplify 0 into 0
14.851 * [backup-simplify]: Simplify 1 into 1
14.852 * [backup-simplify]: Simplify (/ 1 1) into 1
14.852 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.852 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
14.852 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.852 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
14.852 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.852 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.852 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.852 * [taylor]: Taking taylor expansion of ky in ky
14.852 * [backup-simplify]: Simplify 0 into 0
14.852 * [backup-simplify]: Simplify 1 into 1
14.852 * [backup-simplify]: Simplify (/ 1 1) into 1
14.853 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.853 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.853 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.853 * [taylor]: Taking taylor expansion of ky in ky
14.853 * [backup-simplify]: Simplify 0 into 0
14.853 * [backup-simplify]: Simplify 1 into 1
14.853 * [backup-simplify]: Simplify (/ 1 1) into 1
14.853 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.853 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.853 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.853 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.853 * [taylor]: Taking taylor expansion of kx in ky
14.853 * [backup-simplify]: Simplify kx into kx
14.853 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.853 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.854 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.854 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.854 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.854 * [taylor]: Taking taylor expansion of kx in ky
14.854 * [backup-simplify]: Simplify kx into kx
14.854 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.854 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.854 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.854 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.854 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.854 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.854 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.854 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.855 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.855 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.855 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.855 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.856 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.856 * [backup-simplify]: Simplify (+ 0) into 0
14.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.859 * [backup-simplify]: Simplify (+ 0 0) into 0
14.859 * [backup-simplify]: Simplify (+ 0) into 0
14.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.861 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.861 * [backup-simplify]: Simplify (+ 0 0) into 0
14.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.862 * [backup-simplify]: Simplify (+ 0 0) into 0
14.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.863 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.864 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.864 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.865 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.865 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
14.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
14.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
14.865 * [taylor]: Taking taylor expansion of 1/3 in ky
14.865 * [backup-simplify]: Simplify 1/3 into 1/3
14.865 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
14.865 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
14.865 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.865 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.865 * [taylor]: Taking taylor expansion of ky in ky
14.865 * [backup-simplify]: Simplify 0 into 0
14.865 * [backup-simplify]: Simplify 1 into 1
14.866 * [backup-simplify]: Simplify (/ 1 1) into 1
14.866 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.866 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
14.866 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.866 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
14.866 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.866 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.866 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.866 * [taylor]: Taking taylor expansion of ky in ky
14.866 * [backup-simplify]: Simplify 0 into 0
14.866 * [backup-simplify]: Simplify 1 into 1
14.867 * [backup-simplify]: Simplify (/ 1 1) into 1
14.867 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.867 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.867 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.867 * [taylor]: Taking taylor expansion of ky in ky
14.867 * [backup-simplify]: Simplify 0 into 0
14.867 * [backup-simplify]: Simplify 1 into 1
14.867 * [backup-simplify]: Simplify (/ 1 1) into 1
14.868 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.868 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.868 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.868 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.868 * [taylor]: Taking taylor expansion of kx in ky
14.868 * [backup-simplify]: Simplify kx into kx
14.868 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.868 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.868 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.868 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.868 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.868 * [taylor]: Taking taylor expansion of kx in ky
14.868 * [backup-simplify]: Simplify kx into kx
14.868 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.868 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.868 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.868 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.869 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.869 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.869 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.869 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.869 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.869 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.869 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.870 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.870 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.871 * [backup-simplify]: Simplify (+ 0) into 0
14.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.873 * [backup-simplify]: Simplify (+ 0 0) into 0
14.873 * [backup-simplify]: Simplify (+ 0) into 0
14.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.875 * [backup-simplify]: Simplify (+ 0 0) into 0
14.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.876 * [backup-simplify]: Simplify (+ 0 0) into 0
14.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.877 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.877 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.878 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.879 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.879 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) in kx
14.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) in kx
14.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) in kx
14.879 * [taylor]: Taking taylor expansion of 1/3 in kx
14.879 * [backup-simplify]: Simplify 1/3 into 1/3
14.879 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
14.879 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
14.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
14.879 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
14.879 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
14.879 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
14.879 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.879 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.879 * [taylor]: Taking taylor expansion of kx in kx
14.879 * [backup-simplify]: Simplify 0 into 0
14.879 * [backup-simplify]: Simplify 1 into 1
14.880 * [backup-simplify]: Simplify (/ 1 1) into 1
14.880 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.880 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
14.880 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.880 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.880 * [taylor]: Taking taylor expansion of ky in kx
14.880 * [backup-simplify]: Simplify ky into ky
14.880 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.880 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.880 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.880 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.880 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.881 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.881 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.881 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.881 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.882 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.882 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
14.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.883 * [backup-simplify]: Simplify (+ 0) into 0
14.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.885 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.885 * [backup-simplify]: Simplify (+ 0 0) into 0
14.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.886 * [backup-simplify]: Simplify (+ 0 0) into 0
14.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.887 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.887 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.887 * [taylor]: Taking taylor expansion of ky in kx
14.887 * [backup-simplify]: Simplify ky into ky
14.887 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.887 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.887 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.887 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.887 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.888 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.888 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.889 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.889 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
14.890 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.890 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
14.892 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
14.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
14.896 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.896 * [taylor]: Taking taylor expansion of 0 in kx
14.896 * [backup-simplify]: Simplify 0 into 0
14.896 * [backup-simplify]: Simplify 0 into 0
14.896 * [backup-simplify]: Simplify (+ 0) into 0
14.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.898 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.899 * [backup-simplify]: Simplify (+ 0 0) into 0
14.899 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
14.900 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
14.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
14.901 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.902 * [backup-simplify]: Simplify 0 into 0
14.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.903 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.903 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.904 * [backup-simplify]: Simplify (+ 0 0) into 0
14.905 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.906 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.906 * [backup-simplify]: Simplify (+ 0 0) into 0
14.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.907 * [backup-simplify]: Simplify (+ 0 0) into 0
14.907 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.908 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.910 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
14.911 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
14.912 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.912 * [taylor]: Taking taylor expansion of 0 in kx
14.912 * [backup-simplify]: Simplify 0 into 0
14.912 * [backup-simplify]: Simplify 0 into 0
14.912 * [backup-simplify]: Simplify 0 into 0
14.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.913 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.913 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.914 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.914 * [backup-simplify]: Simplify (+ 0 0) into 0
14.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.915 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.915 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.916 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.916 * [backup-simplify]: Simplify (+ 0 0) into 0
14.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.917 * [backup-simplify]: Simplify (+ 0 0) into 0
14.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.919 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
14.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
14.922 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.922 * [backup-simplify]: Simplify 0 into 0
14.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
14.923 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.926 * [backup-simplify]: Simplify (+ 0 0) into 0
14.926 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.929 * [backup-simplify]: Simplify (+ 0 0) into 0
14.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
14.931 * [backup-simplify]: Simplify (+ 0 0) into 0
14.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.934 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.938 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 6) into 0
14.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))))) into 0
14.943 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.943 * [taylor]: Taking taylor expansion of 0 in kx
14.943 * [backup-simplify]: Simplify 0 into 0
14.943 * [backup-simplify]: Simplify 0 into 0
14.944 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
14.944 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
14.944 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx) around 0
14.944 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
14.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
14.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
14.944 * [taylor]: Taking taylor expansion of 1/3 in kx
14.944 * [backup-simplify]: Simplify 1/3 into 1/3
14.944 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
14.944 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
14.944 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.945 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.945 * [taylor]: Taking taylor expansion of -1 in kx
14.945 * [backup-simplify]: Simplify -1 into -1
14.945 * [taylor]: Taking taylor expansion of ky in kx
14.945 * [backup-simplify]: Simplify ky into ky
14.945 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.945 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.945 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.945 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
14.945 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.945 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
14.945 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
14.945 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.945 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.945 * [taylor]: Taking taylor expansion of -1 in kx
14.945 * [backup-simplify]: Simplify -1 into -1
14.945 * [taylor]: Taking taylor expansion of ky in kx
14.945 * [backup-simplify]: Simplify ky into ky
14.945 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.945 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.945 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.945 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.946 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.946 * [taylor]: Taking taylor expansion of -1 in kx
14.946 * [backup-simplify]: Simplify -1 into -1
14.946 * [taylor]: Taking taylor expansion of ky in kx
14.946 * [backup-simplify]: Simplify ky into ky
14.946 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.946 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.946 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.946 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
14.946 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.946 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.946 * [taylor]: Taking taylor expansion of -1 in kx
14.946 * [backup-simplify]: Simplify -1 into -1
14.946 * [taylor]: Taking taylor expansion of kx in kx
14.946 * [backup-simplify]: Simplify 0 into 0
14.946 * [backup-simplify]: Simplify 1 into 1
14.947 * [backup-simplify]: Simplify (/ -1 1) into -1
14.947 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.947 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.947 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.947 * [taylor]: Taking taylor expansion of -1 in kx
14.947 * [backup-simplify]: Simplify -1 into -1
14.947 * [taylor]: Taking taylor expansion of kx in kx
14.947 * [backup-simplify]: Simplify 0 into 0
14.947 * [backup-simplify]: Simplify 1 into 1
14.947 * [backup-simplify]: Simplify (/ -1 1) into -1
14.947 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.948 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.948 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.948 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.948 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.948 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.948 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.948 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.948 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.949 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.949 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.950 * [backup-simplify]: Simplify (+ 0) into 0
14.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.950 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.952 * [backup-simplify]: Simplify (+ 0 0) into 0
14.952 * [backup-simplify]: Simplify (+ 0) into 0
14.953 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.953 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.954 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.955 * [backup-simplify]: Simplify (+ 0 0) into 0
14.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.955 * [backup-simplify]: Simplify (+ 0 0) into 0
14.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.956 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.956 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.956 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.957 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.957 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.958 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
14.958 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.958 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
14.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
14.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
14.958 * [taylor]: Taking taylor expansion of 1/3 in ky
14.958 * [backup-simplify]: Simplify 1/3 into 1/3
14.958 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
14.958 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
14.958 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.959 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.959 * [taylor]: Taking taylor expansion of -1 in ky
14.959 * [backup-simplify]: Simplify -1 into -1
14.959 * [taylor]: Taking taylor expansion of ky in ky
14.959 * [backup-simplify]: Simplify 0 into 0
14.959 * [backup-simplify]: Simplify 1 into 1
14.959 * [backup-simplify]: Simplify (/ -1 1) into -1
14.959 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.959 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
14.959 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.959 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
14.960 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.960 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.960 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.960 * [taylor]: Taking taylor expansion of -1 in ky
14.960 * [backup-simplify]: Simplify -1 into -1
14.960 * [taylor]: Taking taylor expansion of ky in ky
14.960 * [backup-simplify]: Simplify 0 into 0
14.960 * [backup-simplify]: Simplify 1 into 1
14.960 * [backup-simplify]: Simplify (/ -1 1) into -1
14.960 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.960 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.960 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.960 * [taylor]: Taking taylor expansion of -1 in ky
14.960 * [backup-simplify]: Simplify -1 into -1
14.960 * [taylor]: Taking taylor expansion of ky in ky
14.960 * [backup-simplify]: Simplify 0 into 0
14.960 * [backup-simplify]: Simplify 1 into 1
14.961 * [backup-simplify]: Simplify (/ -1 1) into -1
14.961 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.961 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.961 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.961 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.961 * [taylor]: Taking taylor expansion of -1 in ky
14.961 * [backup-simplify]: Simplify -1 into -1
14.961 * [taylor]: Taking taylor expansion of kx in ky
14.961 * [backup-simplify]: Simplify kx into kx
14.961 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.961 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.961 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.961 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.961 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.961 * [taylor]: Taking taylor expansion of -1 in ky
14.961 * [backup-simplify]: Simplify -1 into -1
14.961 * [taylor]: Taking taylor expansion of kx in ky
14.962 * [backup-simplify]: Simplify kx into kx
14.962 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.962 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.962 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.962 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.962 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.962 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.962 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.962 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.962 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.963 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.963 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.963 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.963 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.968 * [backup-simplify]: Simplify (+ 0) into 0
14.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.969 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.971 * [backup-simplify]: Simplify (+ 0 0) into 0
14.971 * [backup-simplify]: Simplify (+ 0) into 0
14.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.972 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.973 * [backup-simplify]: Simplify (+ 0 0) into 0
14.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.974 * [backup-simplify]: Simplify (+ 0 0) into 0
14.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.975 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.976 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.976 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
14.977 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.977 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
14.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
14.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
14.977 * [taylor]: Taking taylor expansion of 1/3 in ky
14.977 * [backup-simplify]: Simplify 1/3 into 1/3
14.977 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
14.977 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
14.977 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.977 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.977 * [taylor]: Taking taylor expansion of -1 in ky
14.977 * [backup-simplify]: Simplify -1 into -1
14.977 * [taylor]: Taking taylor expansion of ky in ky
14.977 * [backup-simplify]: Simplify 0 into 0
14.978 * [backup-simplify]: Simplify 1 into 1
14.978 * [backup-simplify]: Simplify (/ -1 1) into -1
14.978 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.978 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
14.978 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.978 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
14.978 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.978 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.979 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.979 * [taylor]: Taking taylor expansion of -1 in ky
14.979 * [backup-simplify]: Simplify -1 into -1
14.979 * [taylor]: Taking taylor expansion of ky in ky
14.979 * [backup-simplify]: Simplify 0 into 0
14.979 * [backup-simplify]: Simplify 1 into 1
14.979 * [backup-simplify]: Simplify (/ -1 1) into -1
14.979 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.979 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.979 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.979 * [taylor]: Taking taylor expansion of -1 in ky
14.979 * [backup-simplify]: Simplify -1 into -1
14.979 * [taylor]: Taking taylor expansion of ky in ky
14.979 * [backup-simplify]: Simplify 0 into 0
14.979 * [backup-simplify]: Simplify 1 into 1
14.980 * [backup-simplify]: Simplify (/ -1 1) into -1
14.980 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.980 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.980 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.980 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.980 * [taylor]: Taking taylor expansion of -1 in ky
14.980 * [backup-simplify]: Simplify -1 into -1
14.980 * [taylor]: Taking taylor expansion of kx in ky
14.980 * [backup-simplify]: Simplify kx into kx
14.980 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.980 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.980 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.980 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.980 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.980 * [taylor]: Taking taylor expansion of -1 in ky
14.980 * [backup-simplify]: Simplify -1 into -1
14.980 * [taylor]: Taking taylor expansion of kx in ky
14.981 * [backup-simplify]: Simplify kx into kx
14.981 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.981 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.981 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.981 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.981 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.981 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.981 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.981 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.981 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.982 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.982 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.982 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.982 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.983 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.983 * [backup-simplify]: Simplify (+ 0) into 0
14.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.984 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.985 * [backup-simplify]: Simplify (+ 0 0) into 0
14.986 * [backup-simplify]: Simplify (+ 0) into 0
14.986 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.987 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.988 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.988 * [backup-simplify]: Simplify (+ 0 0) into 0
14.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.989 * [backup-simplify]: Simplify (+ 0 0) into 0
14.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.990 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.990 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.991 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
14.991 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
14.992 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) in kx
14.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) in kx
14.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) in kx
14.992 * [taylor]: Taking taylor expansion of 1/3 in kx
14.992 * [backup-simplify]: Simplify 1/3 into 1/3
14.992 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
14.992 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
14.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
14.992 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
14.992 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
14.992 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
14.992 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.992 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.992 * [taylor]: Taking taylor expansion of -1 in kx
14.992 * [backup-simplify]: Simplify -1 into -1
14.992 * [taylor]: Taking taylor expansion of kx in kx
14.992 * [backup-simplify]: Simplify 0 into 0
14.992 * [backup-simplify]: Simplify 1 into 1
14.993 * [backup-simplify]: Simplify (/ -1 1) into -1
14.993 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.993 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
14.993 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.993 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.993 * [taylor]: Taking taylor expansion of -1 in kx
14.993 * [backup-simplify]: Simplify -1 into -1
14.993 * [taylor]: Taking taylor expansion of ky in kx
14.993 * [backup-simplify]: Simplify ky into ky
14.993 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.993 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.993 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.993 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.993 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.993 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.994 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.994 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.994 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.994 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.995 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
14.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.996 * [backup-simplify]: Simplify (+ 0) into 0
14.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.996 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.998 * [backup-simplify]: Simplify (+ 0 0) into 0
14.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.999 * [backup-simplify]: Simplify (+ 0 0) into 0
15.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.000 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.000 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.000 * [taylor]: Taking taylor expansion of -1 in kx
15.000 * [backup-simplify]: Simplify -1 into -1
15.000 * [taylor]: Taking taylor expansion of ky in kx
15.000 * [backup-simplify]: Simplify ky into ky
15.000 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.000 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.000 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.000 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.001 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.001 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.001 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.002 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.002 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
15.003 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
15.004 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
15.005 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
15.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
15.009 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.009 * [taylor]: Taking taylor expansion of 0 in kx
15.009 * [backup-simplify]: Simplify 0 into 0
15.009 * [backup-simplify]: Simplify 0 into 0
15.009 * [backup-simplify]: Simplify (+ 0) into 0
15.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.009 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.010 * [backup-simplify]: Simplify (+ 0 0) into 0
15.011 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
15.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
15.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
15.013 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.013 * [backup-simplify]: Simplify 0 into 0
15.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.014 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.015 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.016 * [backup-simplify]: Simplify (+ 0 0) into 0
15.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.017 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.018 * [backup-simplify]: Simplify (+ 0 0) into 0
15.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.018 * [backup-simplify]: Simplify (+ 0 0) into 0
15.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.020 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
15.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
15.023 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.023 * [taylor]: Taking taylor expansion of 0 in kx
15.023 * [backup-simplify]: Simplify 0 into 0
15.023 * [backup-simplify]: Simplify 0 into 0
15.024 * [backup-simplify]: Simplify 0 into 0
15.024 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.025 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.025 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.026 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.026 * [backup-simplify]: Simplify (+ 0 0) into 0
15.026 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.027 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.028 * [backup-simplify]: Simplify (+ 0 0) into 0
15.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.029 * [backup-simplify]: Simplify (+ 0 0) into 0
15.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.030 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.031 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.033 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
15.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
15.034 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.034 * [backup-simplify]: Simplify 0 into 0
15.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
15.036 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.036 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.036 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.038 * [backup-simplify]: Simplify (+ 0 0) into 0
15.038 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.039 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.039 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.041 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.041 * [backup-simplify]: Simplify (+ 0 0) into 0
15.042 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
15.043 * [backup-simplify]: Simplify (+ 0 0) into 0
15.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.046 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.050 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 6) into 0
15.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))))) into 0
15.054 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.055 * [taylor]: Taking taylor expansion of 0 in kx
15.055 * [backup-simplify]: Simplify 0 into 0
15.055 * [backup-simplify]: Simplify 0 into 0
15.055 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
15.055 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
15.056 * [backup-simplify]: Simplify (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) into (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3)
15.056 * [approximate]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in (ky kx) around 0
15.056 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in kx
15.056 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in kx
15.056 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in kx
15.056 * [taylor]: Taking taylor expansion of 1/3 in kx
15.056 * [backup-simplify]: Simplify 1/3 into 1/3
15.056 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in kx
15.056 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
15.056 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.056 * [taylor]: Taking taylor expansion of ky in kx
15.056 * [backup-simplify]: Simplify ky into ky
15.056 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.056 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.056 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
15.056 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.056 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
15.056 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.056 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.056 * [taylor]: Taking taylor expansion of ky in kx
15.056 * [backup-simplify]: Simplify ky into ky
15.056 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.057 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.057 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.057 * [taylor]: Taking taylor expansion of ky in kx
15.057 * [backup-simplify]: Simplify ky into ky
15.057 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.057 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.057 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.057 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.057 * [taylor]: Taking taylor expansion of kx in kx
15.057 * [backup-simplify]: Simplify 0 into 0
15.057 * [backup-simplify]: Simplify 1 into 1
15.057 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.057 * [taylor]: Taking taylor expansion of kx in kx
15.057 * [backup-simplify]: Simplify 0 into 0
15.057 * [backup-simplify]: Simplify 1 into 1
15.057 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.057 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.057 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.057 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.057 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.058 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.058 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.058 * [backup-simplify]: Simplify (* 0 0) into 0
15.058 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.058 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.059 * [backup-simplify]: Simplify (+ 0) into 0
15.059 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.061 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.061 * [backup-simplify]: Simplify (+ 0 0) into 0
15.061 * [backup-simplify]: Simplify (+ 0) into 0
15.062 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.063 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.063 * [backup-simplify]: Simplify (+ 0 0) into 0
15.064 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.066 * [backup-simplify]: Simplify (+ 0 0) into 0
15.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.066 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.066 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.067 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.067 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
15.067 * [backup-simplify]: Simplify (log 1) into 0
15.067 * [backup-simplify]: Simplify (* 1/3 0) into 0
15.068 * [backup-simplify]: Simplify (+ 0) into 0
15.068 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.070 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.070 * [backup-simplify]: Simplify (+ 0 0) into 0
15.070 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))))) into 0
15.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.072 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
15.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.074 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.076 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.076 * [backup-simplify]: Simplify (+ 0 0) into 0
15.077 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.078 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.079 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.079 * [backup-simplify]: Simplify (+ 0 0) into 0
15.080 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.081 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.082 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.083 * [backup-simplify]: Simplify (+ 0 0) into 0
15.083 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
15.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.085 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.086 * [backup-simplify]: Simplify (+ 0 1) into 1
15.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
15.087 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ (/ 1/2 (sin ky)) (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (* 1/2 (/ 1 (pow (sin ky) 2))))
15.089 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (sin ky) 2))))) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow (sin ky) 2))
15.090 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/6 (/ 1 (pow (sin ky) 2))))
15.090 * [backup-simplify]: Simplify (exp 0) into 1
15.090 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
15.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
15.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
15.090 * [taylor]: Taking taylor expansion of 1/3 in ky
15.090 * [backup-simplify]: Simplify 1/3 into 1/3
15.090 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
15.090 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
15.090 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.090 * [taylor]: Taking taylor expansion of ky in ky
15.090 * [backup-simplify]: Simplify 0 into 0
15.090 * [backup-simplify]: Simplify 1 into 1
15.090 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.091 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.091 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.091 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.091 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.091 * [taylor]: Taking taylor expansion of ky in ky
15.091 * [backup-simplify]: Simplify 0 into 0
15.091 * [backup-simplify]: Simplify 1 into 1
15.091 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.091 * [taylor]: Taking taylor expansion of ky in ky
15.091 * [backup-simplify]: Simplify 0 into 0
15.091 * [backup-simplify]: Simplify 1 into 1
15.091 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.091 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.091 * [taylor]: Taking taylor expansion of kx in ky
15.091 * [backup-simplify]: Simplify kx into kx
15.091 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.091 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.091 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.091 * [taylor]: Taking taylor expansion of kx in ky
15.091 * [backup-simplify]: Simplify kx into kx
15.091 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.091 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.092 * [backup-simplify]: Simplify (* 0 0) into 0
15.092 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.092 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.092 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.092 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.092 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.092 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.092 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.092 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.093 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.095 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.095 * [backup-simplify]: Simplify (+ 0) into 0
15.095 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.097 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.097 * [backup-simplify]: Simplify (+ 0 0) into 0
15.097 * [backup-simplify]: Simplify (+ 0) into 0
15.098 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.099 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.099 * [backup-simplify]: Simplify (+ 0 0) into 0
15.100 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.100 * [backup-simplify]: Simplify (+ 0 0) into 0
15.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.101 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.101 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
15.102 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
15.102 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
15.102 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
15.102 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
15.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
15.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
15.102 * [taylor]: Taking taylor expansion of 1/3 in ky
15.102 * [backup-simplify]: Simplify 1/3 into 1/3
15.102 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
15.102 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
15.102 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.102 * [taylor]: Taking taylor expansion of ky in ky
15.102 * [backup-simplify]: Simplify 0 into 0
15.102 * [backup-simplify]: Simplify 1 into 1
15.102 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.103 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.103 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.103 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.103 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.103 * [taylor]: Taking taylor expansion of ky in ky
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.103 * [taylor]: Taking taylor expansion of ky in ky
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.103 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.103 * [taylor]: Taking taylor expansion of kx in ky
15.103 * [backup-simplify]: Simplify kx into kx
15.103 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.103 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.103 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.103 * [taylor]: Taking taylor expansion of kx in ky
15.103 * [backup-simplify]: Simplify kx into kx
15.103 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.103 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.104 * [backup-simplify]: Simplify (* 0 0) into 0
15.104 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.104 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.104 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.104 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.105 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.107 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.107 * [backup-simplify]: Simplify (+ 0) into 0
15.108 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.109 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.113 * [backup-simplify]: Simplify (+ 0 0) into 0
15.114 * [backup-simplify]: Simplify (+ 0) into 0
15.115 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.116 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.116 * [backup-simplify]: Simplify (+ 0 0) into 0
15.116 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.117 * [backup-simplify]: Simplify (+ 0 0) into 0
15.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.118 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.118 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
15.119 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
15.119 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
15.119 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
15.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
15.119 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
15.119 * [taylor]: Taking taylor expansion of 1/3 in kx
15.119 * [backup-simplify]: Simplify 1/3 into 1/3
15.119 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
15.119 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
15.119 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.119 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.119 * [taylor]: Taking taylor expansion of kx in kx
15.119 * [backup-simplify]: Simplify 0 into 0
15.119 * [backup-simplify]: Simplify 1 into 1
15.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.121 * [backup-simplify]: Simplify (/ 1 1) into 1
15.121 * [backup-simplify]: Simplify (log 1) into 0
15.121 * [taylor]: Taking taylor expansion of (log ky) in kx
15.121 * [taylor]: Taking taylor expansion of ky in kx
15.121 * [backup-simplify]: Simplify ky into ky
15.121 * [backup-simplify]: Simplify (log ky) into (log ky)
15.122 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
15.122 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
15.122 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
15.122 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
15.122 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
15.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.123 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
15.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sin kx)) 1)))) 1) into 0
15.125 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
15.125 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky)))) into 0
15.126 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.126 * [taylor]: Taking taylor expansion of 0 in kx
15.126 * [backup-simplify]: Simplify 0 into 0
15.126 * [backup-simplify]: Simplify 0 into 0
15.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.129 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.131 * [backup-simplify]: Simplify (+ 0 0) into 0
15.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
15.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.132 * [backup-simplify]: Simplify 0 into 0
15.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.137 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.138 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.139 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.139 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.140 * [backup-simplify]: Simplify (+ 0 0) into 0
15.140 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.141 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.142 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.142 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.143 * [backup-simplify]: Simplify (+ 0 0) into 0
15.143 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.144 * [backup-simplify]: Simplify (+ 1 0) into 1
15.145 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
15.145 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
15.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) 1)) (pow (/ 1 (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
15.148 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
15.148 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
15.150 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18)) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))))
15.150 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))))) in kx
15.150 * [taylor]: Taking taylor expansion of -1 in kx
15.150 * [backup-simplify]: Simplify -1 into -1
15.150 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))) in kx
15.150 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
15.150 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
15.150 * [taylor]: Taking taylor expansion of 1/6 in kx
15.150 * [backup-simplify]: Simplify 1/6 into 1/6
15.150 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.150 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.150 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.150 * [taylor]: Taking taylor expansion of kx in kx
15.150 * [backup-simplify]: Simplify 0 into 0
15.150 * [backup-simplify]: Simplify 1 into 1
15.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.151 * [backup-simplify]: Simplify (* 1 1) into 1
15.152 * [backup-simplify]: Simplify (/ 1 1) into 1
15.152 * [taylor]: Taking taylor expansion of 1/18 in kx
15.152 * [backup-simplify]: Simplify 1/18 into 1/18
15.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
15.152 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
15.152 * [taylor]: Taking taylor expansion of 1/3 in kx
15.152 * [backup-simplify]: Simplify 1/3 into 1/3
15.152 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
15.152 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
15.152 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.152 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.152 * [taylor]: Taking taylor expansion of kx in kx
15.152 * [backup-simplify]: Simplify 0 into 0
15.152 * [backup-simplify]: Simplify 1 into 1
15.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.153 * [backup-simplify]: Simplify (/ 1 1) into 1
15.153 * [backup-simplify]: Simplify (log 1) into 0
15.153 * [taylor]: Taking taylor expansion of (log ky) in kx
15.153 * [taylor]: Taking taylor expansion of ky in kx
15.153 * [backup-simplify]: Simplify ky into ky
15.154 * [backup-simplify]: Simplify (log ky) into (log ky)
15.154 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
15.154 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
15.154 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
15.154 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
15.155 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
15.155 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.160 * [backup-simplify]: Simplify (+ 0 0) into 0
15.161 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
15.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
15.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.168 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.169 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
15.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
15.172 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.174 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
15.174 * [backup-simplify]: Simplify (+ 0 0) into 0
15.175 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.178 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.180 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
15.180 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
15.180 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (log ky) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))
15.181 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (log ky) (log kx)))))) into 0
15.181 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))
15.181 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
15.181 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
15.181 * [backup-simplify]: Simplify 0 into 0
15.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
15.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.186 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.186 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
15.187 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
15.187 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
15.188 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) (pow (* kx 1) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (log ky) (log kx)))))) into (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
15.188 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
15.188 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx) around 0
15.188 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
15.188 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
15.188 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
15.188 * [taylor]: Taking taylor expansion of 1/3 in kx
15.188 * [backup-simplify]: Simplify 1/3 into 1/3
15.188 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
15.188 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
15.188 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.188 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.188 * [taylor]: Taking taylor expansion of ky in kx
15.188 * [backup-simplify]: Simplify ky into ky
15.188 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.189 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.189 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.189 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
15.189 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.189 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
15.189 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.189 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.189 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.189 * [taylor]: Taking taylor expansion of ky in kx
15.189 * [backup-simplify]: Simplify ky into ky
15.189 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.189 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.189 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.189 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.189 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.189 * [taylor]: Taking taylor expansion of ky in kx
15.189 * [backup-simplify]: Simplify ky into ky
15.189 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.189 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.189 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.189 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.189 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.189 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.189 * [taylor]: Taking taylor expansion of kx in kx
15.189 * [backup-simplify]: Simplify 0 into 0
15.189 * [backup-simplify]: Simplify 1 into 1
15.189 * [backup-simplify]: Simplify (/ 1 1) into 1
15.190 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.190 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.190 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.190 * [taylor]: Taking taylor expansion of kx in kx
15.190 * [backup-simplify]: Simplify 0 into 0
15.190 * [backup-simplify]: Simplify 1 into 1
15.190 * [backup-simplify]: Simplify (/ 1 1) into 1
15.190 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.190 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.190 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.190 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.190 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.190 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.190 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.190 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.190 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.191 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.191 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.191 * [backup-simplify]: Simplify (+ 0) into 0
15.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.193 * [backup-simplify]: Simplify (+ 0 0) into 0
15.193 * [backup-simplify]: Simplify (+ 0) into 0
15.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.194 * [backup-simplify]: Simplify (+ 0 0) into 0
15.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.195 * [backup-simplify]: Simplify (+ 0 0) into 0
15.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.195 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.195 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.195 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.195 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.196 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.196 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
15.197 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
15.197 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
15.197 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
15.197 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
15.197 * [taylor]: Taking taylor expansion of 1/3 in ky
15.197 * [backup-simplify]: Simplify 1/3 into 1/3
15.197 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
15.197 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
15.197 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.197 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.197 * [taylor]: Taking taylor expansion of ky in ky
15.197 * [backup-simplify]: Simplify 0 into 0
15.197 * [backup-simplify]: Simplify 1 into 1
15.197 * [backup-simplify]: Simplify (/ 1 1) into 1
15.197 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.197 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.197 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.197 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.197 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.197 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.197 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.197 * [taylor]: Taking taylor expansion of ky in ky
15.197 * [backup-simplify]: Simplify 0 into 0
15.197 * [backup-simplify]: Simplify 1 into 1
15.198 * [backup-simplify]: Simplify (/ 1 1) into 1
15.198 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.198 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.198 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.198 * [taylor]: Taking taylor expansion of ky in ky
15.198 * [backup-simplify]: Simplify 0 into 0
15.198 * [backup-simplify]: Simplify 1 into 1
15.198 * [backup-simplify]: Simplify (/ 1 1) into 1
15.198 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.198 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.198 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.198 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.198 * [taylor]: Taking taylor expansion of kx in ky
15.198 * [backup-simplify]: Simplify kx into kx
15.198 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.198 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.198 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.198 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.198 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.198 * [taylor]: Taking taylor expansion of kx in ky
15.198 * [backup-simplify]: Simplify kx into kx
15.198 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.198 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.198 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.199 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.199 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.199 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.199 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.199 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.199 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.199 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.199 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.199 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.199 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.200 * [backup-simplify]: Simplify (+ 0) into 0
15.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.201 * [backup-simplify]: Simplify (+ 0 0) into 0
15.202 * [backup-simplify]: Simplify (+ 0) into 0
15.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.203 * [backup-simplify]: Simplify (+ 0 0) into 0
15.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.203 * [backup-simplify]: Simplify (+ 0 0) into 0
15.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.204 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.204 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.205 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
15.205 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
15.205 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
15.205 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
15.205 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
15.205 * [taylor]: Taking taylor expansion of 1/3 in ky
15.205 * [backup-simplify]: Simplify 1/3 into 1/3
15.205 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
15.205 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
15.205 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.205 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.205 * [taylor]: Taking taylor expansion of ky in ky
15.205 * [backup-simplify]: Simplify 0 into 0
15.205 * [backup-simplify]: Simplify 1 into 1
15.205 * [backup-simplify]: Simplify (/ 1 1) into 1
15.205 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.205 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.206 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.206 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.206 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.206 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.206 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.206 * [taylor]: Taking taylor expansion of ky in ky
15.206 * [backup-simplify]: Simplify 0 into 0
15.206 * [backup-simplify]: Simplify 1 into 1
15.206 * [backup-simplify]: Simplify (/ 1 1) into 1
15.206 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.206 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.206 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.206 * [taylor]: Taking taylor expansion of ky in ky
15.206 * [backup-simplify]: Simplify 0 into 0
15.206 * [backup-simplify]: Simplify 1 into 1
15.206 * [backup-simplify]: Simplify (/ 1 1) into 1
15.206 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.206 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.206 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.206 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.206 * [taylor]: Taking taylor expansion of kx in ky
15.206 * [backup-simplify]: Simplify kx into kx
15.206 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.207 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.207 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.207 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.207 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.207 * [taylor]: Taking taylor expansion of kx in ky
15.207 * [backup-simplify]: Simplify kx into kx
15.207 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.207 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.207 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.207 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.207 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.207 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.207 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.207 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.207 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.207 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.207 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.208 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.208 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.208 * [backup-simplify]: Simplify (+ 0) into 0
15.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.209 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.210 * [backup-simplify]: Simplify (+ 0 0) into 0
15.210 * [backup-simplify]: Simplify (+ 0) into 0
15.210 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.211 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.211 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.211 * [backup-simplify]: Simplify (+ 0 0) into 0
15.211 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.212 * [backup-simplify]: Simplify (+ 0 0) into 0
15.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.213 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.213 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.214 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
15.214 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
15.214 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) in kx
15.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) in kx
15.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) in kx
15.215 * [taylor]: Taking taylor expansion of 1/3 in kx
15.215 * [backup-simplify]: Simplify 1/3 into 1/3
15.215 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
15.215 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
15.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.215 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.215 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.215 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.215 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.215 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.215 * [taylor]: Taking taylor expansion of kx in kx
15.215 * [backup-simplify]: Simplify 0 into 0
15.215 * [backup-simplify]: Simplify 1 into 1
15.215 * [backup-simplify]: Simplify (/ 1 1) into 1
15.216 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.216 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.216 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.216 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.216 * [taylor]: Taking taylor expansion of ky in kx
15.216 * [backup-simplify]: Simplify ky into ky
15.216 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.216 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.216 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.216 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.216 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.216 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.216 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.217 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.217 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.217 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.218 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
15.218 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.218 * [backup-simplify]: Simplify (+ 0) into 0
15.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.220 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.221 * [backup-simplify]: Simplify (+ 0 0) into 0
15.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.221 * [backup-simplify]: Simplify (+ 0 0) into 0
15.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.223 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.223 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.223 * [taylor]: Taking taylor expansion of ky in kx
15.223 * [backup-simplify]: Simplify ky into ky
15.223 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.223 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.223 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.223 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.223 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.223 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.224 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.224 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.225 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
15.225 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
15.226 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
15.227 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
15.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
15.231 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.231 * [taylor]: Taking taylor expansion of 0 in kx
15.231 * [backup-simplify]: Simplify 0 into 0
15.231 * [backup-simplify]: Simplify 0 into 0
15.232 * [backup-simplify]: Simplify (+ 0) into 0
15.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.234 * [backup-simplify]: Simplify (+ 0 0) into 0
15.235 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
15.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
15.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
15.239 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.239 * [backup-simplify]: Simplify 0 into 0
15.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.242 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.243 * [backup-simplify]: Simplify (+ 0 0) into 0
15.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.245 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.247 * [backup-simplify]: Simplify (+ 0 0) into 0
15.247 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.248 * [backup-simplify]: Simplify (+ 0 0) into 0
15.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.251 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.254 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
15.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
15.262 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.262 * [taylor]: Taking taylor expansion of 0 in kx
15.262 * [backup-simplify]: Simplify 0 into 0
15.262 * [backup-simplify]: Simplify 0 into 0
15.262 * [backup-simplify]: Simplify 0 into 0
15.263 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.265 * [backup-simplify]: Simplify (+ 0 0) into 0
15.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.267 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.267 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.267 * [backup-simplify]: Simplify (+ 0 0) into 0
15.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.268 * [backup-simplify]: Simplify (+ 0 0) into 0
15.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.270 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.272 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
15.273 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
15.274 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
15.275 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.276 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.277 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.277 * [backup-simplify]: Simplify (+ 0 0) into 0
15.278 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.278 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.280 * [backup-simplify]: Simplify (+ 0 0) into 0
15.280 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
15.281 * [backup-simplify]: Simplify (+ 0 0) into 0
15.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.282 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.285 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 6) into 0
15.286 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))))) into 0
15.287 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.287 * [taylor]: Taking taylor expansion of 0 in kx
15.287 * [backup-simplify]: Simplify 0 into 0
15.287 * [backup-simplify]: Simplify 0 into 0
15.288 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
15.288 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
15.288 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx) around 0
15.288 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
15.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
15.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
15.288 * [taylor]: Taking taylor expansion of 1/3 in kx
15.288 * [backup-simplify]: Simplify 1/3 into 1/3
15.288 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
15.288 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
15.288 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.288 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.288 * [taylor]: Taking taylor expansion of -1 in kx
15.288 * [backup-simplify]: Simplify -1 into -1
15.288 * [taylor]: Taking taylor expansion of ky in kx
15.288 * [backup-simplify]: Simplify ky into ky
15.288 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.288 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.288 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.288 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
15.289 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.289 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
15.289 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.289 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.289 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.289 * [taylor]: Taking taylor expansion of -1 in kx
15.289 * [backup-simplify]: Simplify -1 into -1
15.289 * [taylor]: Taking taylor expansion of ky in kx
15.289 * [backup-simplify]: Simplify ky into ky
15.289 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.289 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.289 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.289 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.289 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.289 * [taylor]: Taking taylor expansion of -1 in kx
15.289 * [backup-simplify]: Simplify -1 into -1
15.289 * [taylor]: Taking taylor expansion of ky in kx
15.289 * [backup-simplify]: Simplify ky into ky
15.289 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.289 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.289 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.289 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.289 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.289 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.289 * [taylor]: Taking taylor expansion of -1 in kx
15.289 * [backup-simplify]: Simplify -1 into -1
15.289 * [taylor]: Taking taylor expansion of kx in kx
15.289 * [backup-simplify]: Simplify 0 into 0
15.289 * [backup-simplify]: Simplify 1 into 1
15.289 * [backup-simplify]: Simplify (/ -1 1) into -1
15.290 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.290 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.290 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.290 * [taylor]: Taking taylor expansion of -1 in kx
15.290 * [backup-simplify]: Simplify -1 into -1
15.290 * [taylor]: Taking taylor expansion of kx in kx
15.290 * [backup-simplify]: Simplify 0 into 0
15.290 * [backup-simplify]: Simplify 1 into 1
15.290 * [backup-simplify]: Simplify (/ -1 1) into -1
15.290 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.290 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.290 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.290 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.290 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.290 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.290 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.290 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.291 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.291 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.291 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.291 * [backup-simplify]: Simplify (+ 0) into 0
15.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.292 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.293 * [backup-simplify]: Simplify (+ 0 0) into 0
15.293 * [backup-simplify]: Simplify (+ 0) into 0
15.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.293 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.294 * [backup-simplify]: Simplify (+ 0 0) into 0
15.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.295 * [backup-simplify]: Simplify (+ 0 0) into 0
15.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.295 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.295 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.295 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.296 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.296 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.297 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
15.298 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
15.298 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
15.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
15.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
15.298 * [taylor]: Taking taylor expansion of 1/3 in ky
15.298 * [backup-simplify]: Simplify 1/3 into 1/3
15.298 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
15.298 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
15.298 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.298 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.298 * [taylor]: Taking taylor expansion of -1 in ky
15.298 * [backup-simplify]: Simplify -1 into -1
15.298 * [taylor]: Taking taylor expansion of ky in ky
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify 1 into 1
15.299 * [backup-simplify]: Simplify (/ -1 1) into -1
15.299 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.299 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.299 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.299 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.299 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.299 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.299 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.299 * [taylor]: Taking taylor expansion of -1 in ky
15.299 * [backup-simplify]: Simplify -1 into -1
15.299 * [taylor]: Taking taylor expansion of ky in ky
15.299 * [backup-simplify]: Simplify 0 into 0
15.299 * [backup-simplify]: Simplify 1 into 1
15.300 * [backup-simplify]: Simplify (/ -1 1) into -1
15.300 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.300 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.300 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.300 * [taylor]: Taking taylor expansion of -1 in ky
15.300 * [backup-simplify]: Simplify -1 into -1
15.300 * [taylor]: Taking taylor expansion of ky in ky
15.300 * [backup-simplify]: Simplify 0 into 0
15.300 * [backup-simplify]: Simplify 1 into 1
15.301 * [backup-simplify]: Simplify (/ -1 1) into -1
15.301 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.301 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.301 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.301 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.301 * [taylor]: Taking taylor expansion of -1 in ky
15.301 * [backup-simplify]: Simplify -1 into -1
15.301 * [taylor]: Taking taylor expansion of kx in ky
15.301 * [backup-simplify]: Simplify kx into kx
15.301 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.301 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.301 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.301 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.301 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.301 * [taylor]: Taking taylor expansion of -1 in ky
15.301 * [backup-simplify]: Simplify -1 into -1
15.301 * [taylor]: Taking taylor expansion of kx in ky
15.301 * [backup-simplify]: Simplify kx into kx
15.301 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.301 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.301 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.302 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.302 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.302 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.302 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.302 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.302 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.302 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.302 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.303 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.303 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.304 * [backup-simplify]: Simplify (+ 0) into 0
15.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.304 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.306 * [backup-simplify]: Simplify (+ 0 0) into 0
15.306 * [backup-simplify]: Simplify (+ 0) into 0
15.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.307 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.309 * [backup-simplify]: Simplify (+ 0 0) into 0
15.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.309 * [backup-simplify]: Simplify (+ 0 0) into 0
15.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.310 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.311 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.312 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
15.312 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
15.312 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
15.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
15.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
15.312 * [taylor]: Taking taylor expansion of 1/3 in ky
15.312 * [backup-simplify]: Simplify 1/3 into 1/3
15.313 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
15.313 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
15.313 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.313 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.313 * [taylor]: Taking taylor expansion of -1 in ky
15.313 * [backup-simplify]: Simplify -1 into -1
15.313 * [taylor]: Taking taylor expansion of ky in ky
15.313 * [backup-simplify]: Simplify 0 into 0
15.313 * [backup-simplify]: Simplify 1 into 1
15.313 * [backup-simplify]: Simplify (/ -1 1) into -1
15.313 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.313 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.313 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.314 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.314 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.314 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.314 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.314 * [taylor]: Taking taylor expansion of -1 in ky
15.314 * [backup-simplify]: Simplify -1 into -1
15.314 * [taylor]: Taking taylor expansion of ky in ky
15.314 * [backup-simplify]: Simplify 0 into 0
15.314 * [backup-simplify]: Simplify 1 into 1
15.314 * [backup-simplify]: Simplify (/ -1 1) into -1
15.314 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.314 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.314 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.314 * [taylor]: Taking taylor expansion of -1 in ky
15.314 * [backup-simplify]: Simplify -1 into -1
15.314 * [taylor]: Taking taylor expansion of ky in ky
15.314 * [backup-simplify]: Simplify 0 into 0
15.314 * [backup-simplify]: Simplify 1 into 1
15.315 * [backup-simplify]: Simplify (/ -1 1) into -1
15.315 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.315 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.315 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.315 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.315 * [taylor]: Taking taylor expansion of -1 in ky
15.315 * [backup-simplify]: Simplify -1 into -1
15.315 * [taylor]: Taking taylor expansion of kx in ky
15.315 * [backup-simplify]: Simplify kx into kx
15.315 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.315 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.315 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.315 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.315 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.315 * [taylor]: Taking taylor expansion of -1 in ky
15.315 * [backup-simplify]: Simplify -1 into -1
15.315 * [taylor]: Taking taylor expansion of kx in ky
15.316 * [backup-simplify]: Simplify kx into kx
15.316 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.316 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.316 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.316 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.316 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.316 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.316 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.316 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.316 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.317 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.317 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.317 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.317 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.318 * [backup-simplify]: Simplify (+ 0) into 0
15.319 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.319 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.320 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.321 * [backup-simplify]: Simplify (+ 0 0) into 0
15.321 * [backup-simplify]: Simplify (+ 0) into 0
15.322 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.322 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.323 * [backup-simplify]: Simplify (+ 0 0) into 0
15.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.324 * [backup-simplify]: Simplify (+ 0 0) into 0
15.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.325 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.325 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.326 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
15.327 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
15.327 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) in kx
15.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) in kx
15.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) in kx
15.327 * [taylor]: Taking taylor expansion of 1/3 in kx
15.327 * [backup-simplify]: Simplify 1/3 into 1/3
15.327 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
15.327 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
15.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.327 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.327 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.327 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.327 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.327 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.327 * [taylor]: Taking taylor expansion of -1 in kx
15.327 * [backup-simplify]: Simplify -1 into -1
15.327 * [taylor]: Taking taylor expansion of kx in kx
15.327 * [backup-simplify]: Simplify 0 into 0
15.327 * [backup-simplify]: Simplify 1 into 1
15.328 * [backup-simplify]: Simplify (/ -1 1) into -1
15.328 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.328 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.328 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.328 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.328 * [taylor]: Taking taylor expansion of -1 in kx
15.328 * [backup-simplify]: Simplify -1 into -1
15.328 * [taylor]: Taking taylor expansion of ky in kx
15.328 * [backup-simplify]: Simplify ky into ky
15.328 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.328 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.328 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.329 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.329 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.329 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.329 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.329 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.329 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.330 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.330 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
15.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.331 * [backup-simplify]: Simplify (+ 0) into 0
15.332 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.332 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.334 * [backup-simplify]: Simplify (+ 0 0) into 0
15.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.334 * [backup-simplify]: Simplify (+ 0 0) into 0
15.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.336 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.336 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.336 * [taylor]: Taking taylor expansion of -1 in kx
15.336 * [backup-simplify]: Simplify -1 into -1
15.336 * [taylor]: Taking taylor expansion of ky in kx
15.336 * [backup-simplify]: Simplify ky into ky
15.336 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.336 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.337 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.337 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.337 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.337 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.337 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.338 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.339 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
15.339 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
15.340 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
15.341 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
15.344 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
15.346 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.346 * [taylor]: Taking taylor expansion of 0 in kx
15.346 * [backup-simplify]: Simplify 0 into 0
15.346 * [backup-simplify]: Simplify 0 into 0
15.346 * [backup-simplify]: Simplify (+ 0) into 0
15.347 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.347 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.349 * [backup-simplify]: Simplify (+ 0 0) into 0
15.350 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
15.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
15.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
15.353 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.354 * [backup-simplify]: Simplify 0 into 0
15.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.356 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.358 * [backup-simplify]: Simplify (+ 0 0) into 0
15.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.360 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.362 * [backup-simplify]: Simplify (+ 0 0) into 0
15.363 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.363 * [backup-simplify]: Simplify (+ 0 0) into 0
15.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.366 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
15.370 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
15.372 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.372 * [taylor]: Taking taylor expansion of 0 in kx
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [backup-simplify]: Simplify 0 into 0
15.372 * [backup-simplify]: Simplify 0 into 0
15.373 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.374 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.374 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.375 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.376 * [backup-simplify]: Simplify (+ 0 0) into 0
15.377 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.379 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.379 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.380 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.380 * [backup-simplify]: Simplify (+ 0 0) into 0
15.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.381 * [backup-simplify]: Simplify (+ 0 0) into 0
15.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.384 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.385 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.388 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
15.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
15.391 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.391 * [backup-simplify]: Simplify 0 into 0
15.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
15.393 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.394 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.397 * [backup-simplify]: Simplify (+ 0 0) into 0
15.398 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.399 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.400 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.401 * [backup-simplify]: Simplify (+ 0 0) into 0
15.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
15.403 * [backup-simplify]: Simplify (+ 0 0) into 0
15.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.406 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.415 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 6) into 0
15.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))))) into 0
15.419 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.419 * [taylor]: Taking taylor expansion of 0 in kx
15.419 * [backup-simplify]: Simplify 0 into 0
15.419 * [backup-simplify]: Simplify 0 into 0
15.420 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
15.420 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
15.421 * [backup-simplify]: Simplify (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) into (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3)
15.421 * [approximate]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in (ky kx) around 0
15.421 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in kx
15.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))))) in kx
15.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)))) in kx
15.421 * [taylor]: Taking taylor expansion of 1/3 in kx
15.421 * [backup-simplify]: Simplify 1/3 into 1/3
15.421 * [taylor]: Taking taylor expansion of (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))) in kx
15.421 * [taylor]: Taking taylor expansion of (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) in kx
15.421 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
15.421 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.421 * [taylor]: Taking taylor expansion of ky in kx
15.421 * [backup-simplify]: Simplify ky into ky
15.421 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.421 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.421 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.421 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.422 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.422 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in kx
15.422 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
15.422 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.422 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
15.422 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.422 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.422 * [taylor]: Taking taylor expansion of ky in kx
15.422 * [backup-simplify]: Simplify ky into ky
15.422 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.422 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.422 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.422 * [taylor]: Taking taylor expansion of ky in kx
15.422 * [backup-simplify]: Simplify ky into ky
15.422 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.422 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.422 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.422 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.422 * [taylor]: Taking taylor expansion of kx in kx
15.422 * [backup-simplify]: Simplify 0 into 0
15.422 * [backup-simplify]: Simplify 1 into 1
15.422 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.422 * [taylor]: Taking taylor expansion of kx in kx
15.422 * [backup-simplify]: Simplify 0 into 0
15.422 * [backup-simplify]: Simplify 1 into 1
15.423 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.423 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.423 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.423 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.423 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.423 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.423 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.424 * [backup-simplify]: Simplify (* 0 0) into 0
15.424 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.424 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.424 * [backup-simplify]: Simplify (+ 0) into 0
15.425 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.426 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.427 * [backup-simplify]: Simplify (+ 0 0) into 0
15.427 * [backup-simplify]: Simplify (+ 0) into 0
15.427 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.429 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.429 * [backup-simplify]: Simplify (+ 0 0) into 0
15.429 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.431 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.431 * [backup-simplify]: Simplify (+ 0 0) into 0
15.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.432 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.432 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.432 * [backup-simplify]: Simplify (/ (pow (sin ky) 2) (pow (sin ky) 2)) into 1
15.432 * [backup-simplify]: Simplify (log 1) into 0
15.432 * [backup-simplify]: Simplify (* 1/3 0) into 0
15.433 * [backup-simplify]: Simplify (+ 0) into 0
15.433 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.434 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.434 * [backup-simplify]: Simplify (+ 0 0) into 0
15.434 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.434 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.434 * [backup-simplify]: Simplify (- (/ 0 (pow (sin ky) 2)) (+ (* 1 (/ 0 (pow (sin ky) 2))))) into 0
15.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
15.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.437 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.438 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.438 * [backup-simplify]: Simplify (+ 0 0) into 0
15.438 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
15.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.439 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.440 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.440 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.441 * [backup-simplify]: Simplify (+ 0 0) into 0
15.441 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.442 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
15.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.442 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
15.443 * [backup-simplify]: Simplify (+ 0 0) into 0
15.443 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
15.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.445 * [backup-simplify]: Simplify (+ 0 1) into 1
15.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
15.446 * [backup-simplify]: Simplify (+ (* (sin ky) (/ 1/2 (sin ky))) (+ (* 0 0) (* (/ 1/2 (sin ky)) (sin ky)))) into 1
15.446 * [backup-simplify]: Simplify (- (/ 0 (pow (sin ky) 2)) (+ (* 1 (/ 1 (pow (sin ky) 2))) (* 0 (/ 0 (pow (sin ky) 2))))) into (- (/ 1 (pow (sin ky) 2)))
15.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow (sin ky) 2)))) 1)) (pow 1 1)))) 2) into (/ -1 (pow (sin ky) 2))
15.448 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/3 (/ 1 (pow (sin ky) 2))))
15.448 * [backup-simplify]: Simplify (exp 0) into 1
15.448 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in ky
15.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))))) in ky
15.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)))) in ky
15.448 * [taylor]: Taking taylor expansion of 1/3 in ky
15.448 * [backup-simplify]: Simplify 1/3 into 1/3
15.448 * [taylor]: Taking taylor expansion of (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))) in ky
15.448 * [taylor]: Taking taylor expansion of (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) in ky
15.448 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
15.449 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.449 * [taylor]: Taking taylor expansion of ky in ky
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [backup-simplify]: Simplify 1 into 1
15.449 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.449 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in ky
15.449 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.449 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.449 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.449 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.449 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.449 * [taylor]: Taking taylor expansion of ky in ky
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [backup-simplify]: Simplify 1 into 1
15.449 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.449 * [taylor]: Taking taylor expansion of ky in ky
15.449 * [backup-simplify]: Simplify 0 into 0
15.449 * [backup-simplify]: Simplify 1 into 1
15.449 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.449 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.449 * [taylor]: Taking taylor expansion of kx in ky
15.449 * [backup-simplify]: Simplify kx into kx
15.449 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.449 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.449 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.449 * [taylor]: Taking taylor expansion of kx in ky
15.449 * [backup-simplify]: Simplify kx into kx
15.450 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.450 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.450 * [backup-simplify]: Simplify (* 0 0) into 0
15.450 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.450 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.450 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.450 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.450 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.450 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.450 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.450 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.450 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.452 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.452 * [backup-simplify]: Simplify (+ 0) into 0
15.452 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.453 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.453 * [backup-simplify]: Simplify (+ 0 0) into 0
15.453 * [backup-simplify]: Simplify (+ 0) into 0
15.454 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.454 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.454 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.455 * [backup-simplify]: Simplify (+ 0 0) into 0
15.455 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.455 * [backup-simplify]: Simplify (+ 0 0) into 0
15.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.455 * [backup-simplify]: Simplify (* 1 1) into 1
15.455 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.456 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
15.456 * [backup-simplify]: Simplify (log (/ 1 (pow (sin kx) 2))) into (log (/ 1 (pow (sin kx) 2)))
15.456 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
15.456 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) into (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))
15.456 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) into (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))
15.456 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in ky
15.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))))) in ky
15.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)))) in ky
15.457 * [taylor]: Taking taylor expansion of 1/3 in ky
15.457 * [backup-simplify]: Simplify 1/3 into 1/3
15.457 * [taylor]: Taking taylor expansion of (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))) in ky
15.457 * [taylor]: Taking taylor expansion of (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) in ky
15.457 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
15.457 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.457 * [taylor]: Taking taylor expansion of ky in ky
15.457 * [backup-simplify]: Simplify 0 into 0
15.457 * [backup-simplify]: Simplify 1 into 1
15.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.457 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in ky
15.457 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.457 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.457 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.457 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.457 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.457 * [taylor]: Taking taylor expansion of ky in ky
15.457 * [backup-simplify]: Simplify 0 into 0
15.457 * [backup-simplify]: Simplify 1 into 1
15.457 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.457 * [taylor]: Taking taylor expansion of ky in ky
15.457 * [backup-simplify]: Simplify 0 into 0
15.457 * [backup-simplify]: Simplify 1 into 1
15.457 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.457 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.457 * [taylor]: Taking taylor expansion of kx in ky
15.457 * [backup-simplify]: Simplify kx into kx
15.457 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.457 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.458 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.458 * [taylor]: Taking taylor expansion of kx in ky
15.458 * [backup-simplify]: Simplify kx into kx
15.458 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.458 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.458 * [backup-simplify]: Simplify (* 0 0) into 0
15.458 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.458 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.458 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.458 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.458 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.458 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.458 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.458 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.458 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.460 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.460 * [backup-simplify]: Simplify (+ 0) into 0
15.461 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.462 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.462 * [backup-simplify]: Simplify (+ 0 0) into 0
15.463 * [backup-simplify]: Simplify (+ 0) into 0
15.463 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.464 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.465 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.465 * [backup-simplify]: Simplify (+ 0 0) into 0
15.465 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.466 * [backup-simplify]: Simplify (+ 0 0) into 0
15.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.466 * [backup-simplify]: Simplify (* 1 1) into 1
15.466 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.466 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
15.467 * [backup-simplify]: Simplify (log (/ 1 (pow (sin kx) 2))) into (log (/ 1 (pow (sin kx) 2)))
15.467 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
15.468 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) into (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))
15.468 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) into (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))
15.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) in kx
15.468 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) in kx
15.468 * [taylor]: Taking taylor expansion of 1/3 in kx
15.468 * [backup-simplify]: Simplify 1/3 into 1/3
15.469 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))) in kx
15.469 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sin kx) 2))) in kx
15.469 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.469 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.469 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.469 * [taylor]: Taking taylor expansion of kx in kx
15.469 * [backup-simplify]: Simplify 0 into 0
15.469 * [backup-simplify]: Simplify 1 into 1
15.469 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.470 * [backup-simplify]: Simplify (* 1 1) into 1
15.470 * [backup-simplify]: Simplify (/ 1 1) into 1
15.471 * [backup-simplify]: Simplify (log 1) into 0
15.471 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in kx
15.471 * [taylor]: Taking taylor expansion of 2 in kx
15.471 * [backup-simplify]: Simplify 2 into 2
15.471 * [taylor]: Taking taylor expansion of (log ky) in kx
15.471 * [taylor]: Taking taylor expansion of ky in kx
15.471 * [backup-simplify]: Simplify ky into ky
15.471 * [backup-simplify]: Simplify (log ky) into (log ky)
15.471 * [backup-simplify]: Simplify (+ (* (- 2) (log kx)) 0) into (- (* 2 (log kx)))
15.471 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
15.472 * [backup-simplify]: Simplify (+ (- (* 2 (log kx))) (* 2 (log ky))) into (- (* 2 (log ky)) (* 2 (log kx)))
15.472 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))) into (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))
15.472 * [backup-simplify]: Simplify (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) into (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))
15.472 * [backup-simplify]: Simplify (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) into (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))
15.473 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.474 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.474 * [backup-simplify]: Simplify (- (/ 0 (pow (sin kx) 2)) (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
15.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sin kx) 2)) 1)))) 1) into 0
15.476 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
15.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) into 0
15.478 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.478 * [taylor]: Taking taylor expansion of 0 in kx
15.478 * [backup-simplify]: Simplify 0 into 0
15.478 * [backup-simplify]: Simplify 0 into 0
15.479 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.481 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log ky))) into 0
15.482 * [backup-simplify]: Simplify (+ 0 0) into 0
15.482 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx))))) into 0
15.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.483 * [backup-simplify]: Simplify 0 into 0
15.484 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.484 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.485 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.485 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.487 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.488 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.488 * [backup-simplify]: Simplify (+ 0 0) into 0
15.488 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.489 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.489 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.490 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.490 * [backup-simplify]: Simplify (+ 0 0) into 0
15.490 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.491 * [backup-simplify]: Simplify (+ 1 0) into 1
15.491 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
15.491 * [backup-simplify]: Simplify (+ (* (sin kx) (/ 1/2 (sin kx))) (+ (* 0 0) (* (/ 1/2 (sin kx)) (sin kx)))) into 1
15.492 * [backup-simplify]: Simplify (- (/ -1/3 (pow (sin kx) 2)) (+ (* (/ 1 (pow (sin kx) 2)) (/ 1 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))))) into (- (+ (/ 1 (pow (sin kx) 4)) (* 1/3 (/ 1 (pow (sin kx) 2)))))
15.493 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sin kx) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ 1 (pow (sin kx) 4)) (* 1/3 (/ 1 (pow (sin kx) 2)))))) 1)) (pow (/ 1 (pow (sin kx) 2)) 1)))) 2) into (* -1/2 (+ (* 2 (/ 1 (pow (sin kx) 2))) 2/3))
15.493 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
15.494 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2 (/ 1 (pow (sin kx) 2))) 2/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))) into (- (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9))
15.495 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9)) 1) 1)))) into (* -1 (* (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))))
15.495 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))))) in kx
15.495 * [taylor]: Taking taylor expansion of -1 in kx
15.495 * [backup-simplify]: Simplify -1 into -1
15.495 * [taylor]: Taking taylor expansion of (* (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))) in kx
15.495 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) in kx
15.495 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow (sin kx) 2))) in kx
15.495 * [taylor]: Taking taylor expansion of 1/3 in kx
15.495 * [backup-simplify]: Simplify 1/3 into 1/3
15.495 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.495 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.495 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.495 * [taylor]: Taking taylor expansion of kx in kx
15.495 * [backup-simplify]: Simplify 0 into 0
15.495 * [backup-simplify]: Simplify 1 into 1
15.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.496 * [backup-simplify]: Simplify (* 1 1) into 1
15.496 * [backup-simplify]: Simplify (/ 1 1) into 1
15.496 * [taylor]: Taking taylor expansion of 1/9 in kx
15.496 * [backup-simplify]: Simplify 1/9 into 1/9
15.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) in kx
15.496 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) in kx
15.496 * [taylor]: Taking taylor expansion of 1/3 in kx
15.496 * [backup-simplify]: Simplify 1/3 into 1/3
15.496 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))) in kx
15.496 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sin kx) 2))) in kx
15.496 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.496 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.496 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.496 * [taylor]: Taking taylor expansion of kx in kx
15.496 * [backup-simplify]: Simplify 0 into 0
15.496 * [backup-simplify]: Simplify 1 into 1
15.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.497 * [backup-simplify]: Simplify (* 1 1) into 1
15.497 * [backup-simplify]: Simplify (/ 1 1) into 1
15.497 * [backup-simplify]: Simplify (log 1) into 0
15.497 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in kx
15.497 * [taylor]: Taking taylor expansion of 2 in kx
15.497 * [backup-simplify]: Simplify 2 into 2
15.497 * [taylor]: Taking taylor expansion of (log ky) in kx
15.497 * [taylor]: Taking taylor expansion of ky in kx
15.498 * [backup-simplify]: Simplify ky into ky
15.498 * [backup-simplify]: Simplify (log ky) into (log ky)
15.498 * [backup-simplify]: Simplify (+ (* (- 2) (log kx)) 0) into (- (* 2 (log kx)))
15.498 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
15.498 * [backup-simplify]: Simplify (+ (- (* 2 (log kx))) (* 2 (log ky))) into (- (* 2 (log ky)) (* 2 (log kx)))
15.498 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))) into (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))
15.498 * [backup-simplify]: Simplify (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) into (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))
15.499 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
15.499 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
15.499 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log ky))) into 0
15.502 * [backup-simplify]: Simplify (+ 0 0) into 0
15.502 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx))))) into 0
15.503 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.504 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 1/3
15.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log ky)))) into 0
15.508 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
15.509 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx)))))) into 1/9
15.511 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
15.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.514 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
15.514 * [backup-simplify]: Simplify (+ 0 0) into 0
15.515 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.518 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.520 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 1))) into 1/9
15.521 * [backup-simplify]: Simplify (+ 1/9 1/9) into 2/9
15.522 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) (+ (* 0 0) (* 2/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))))) into (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
15.522 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) into 0
15.523 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) into (* 1/3 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
15.524 * [backup-simplify]: Simplify (+ (* -1 (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) (+ (* 0 0) (* 0 (* 1/3 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))))) into (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))))
15.524 * [backup-simplify]: Simplify (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) into (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))))
15.524 * [backup-simplify]: Simplify 0 into 0
15.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.527 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.536 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 1/3
15.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log ky)))) into 0
15.540 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
15.541 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx)))))) into 1/9
15.542 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
15.543 * [backup-simplify]: Simplify (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) into (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
15.544 * [backup-simplify]: Simplify (+ (* (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) (pow (* kx 1) 2)) (+ (* (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) into (- (+ (* 1/9 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow kx 2))) (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) (* 7/27 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow ky 2))))
15.544 * [backup-simplify]: Simplify (* (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3)
15.544 * [approximate]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in (ky kx) around 0
15.544 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in kx
15.544 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in kx
15.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in kx
15.544 * [taylor]: Taking taylor expansion of 1/3 in kx
15.544 * [backup-simplify]: Simplify 1/3 into 1/3
15.544 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in kx
15.544 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in kx
15.544 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.544 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.544 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.544 * [taylor]: Taking taylor expansion of ky in kx
15.544 * [backup-simplify]: Simplify ky into ky
15.544 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.544 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.544 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.544 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.545 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.545 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in kx
15.545 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
15.545 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.545 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
15.545 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.545 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.545 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.545 * [taylor]: Taking taylor expansion of ky in kx
15.545 * [backup-simplify]: Simplify ky into ky
15.545 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.545 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.545 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.545 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.545 * [taylor]: Taking taylor expansion of ky in kx
15.545 * [backup-simplify]: Simplify ky into ky
15.545 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.545 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.545 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.545 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.545 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.545 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.545 * [taylor]: Taking taylor expansion of kx in kx
15.545 * [backup-simplify]: Simplify 0 into 0
15.545 * [backup-simplify]: Simplify 1 into 1
15.546 * [backup-simplify]: Simplify (/ 1 1) into 1
15.546 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.546 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.546 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.546 * [taylor]: Taking taylor expansion of kx in kx
15.546 * [backup-simplify]: Simplify 0 into 0
15.546 * [backup-simplify]: Simplify 1 into 1
15.546 * [backup-simplify]: Simplify (/ 1 1) into 1
15.546 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.546 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.546 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.546 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.546 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.546 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.546 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.547 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.547 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.547 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.547 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.547 * [backup-simplify]: Simplify (+ 0) into 0
15.548 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.549 * [backup-simplify]: Simplify (+ 0 0) into 0
15.549 * [backup-simplify]: Simplify (+ 0) into 0
15.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.551 * [backup-simplify]: Simplify (+ 0 0) into 0
15.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.551 * [backup-simplify]: Simplify (+ 0 0) into 0
15.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.551 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.552 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.552 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.552 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
15.553 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.553 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
15.553 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in ky
15.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in ky
15.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in ky
15.553 * [taylor]: Taking taylor expansion of 1/3 in ky
15.553 * [backup-simplify]: Simplify 1/3 into 1/3
15.553 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in ky
15.553 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in ky
15.553 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
15.553 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.553 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.553 * [taylor]: Taking taylor expansion of ky in ky
15.553 * [backup-simplify]: Simplify 0 into 0
15.553 * [backup-simplify]: Simplify 1 into 1
15.554 * [backup-simplify]: Simplify (/ 1 1) into 1
15.554 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.554 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in ky
15.554 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.554 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.554 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.554 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.554 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.554 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.554 * [taylor]: Taking taylor expansion of ky in ky
15.554 * [backup-simplify]: Simplify 0 into 0
15.554 * [backup-simplify]: Simplify 1 into 1
15.554 * [backup-simplify]: Simplify (/ 1 1) into 1
15.554 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.554 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.554 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.554 * [taylor]: Taking taylor expansion of ky in ky
15.554 * [backup-simplify]: Simplify 0 into 0
15.554 * [backup-simplify]: Simplify 1 into 1
15.554 * [backup-simplify]: Simplify (/ 1 1) into 1
15.555 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.555 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.555 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.555 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.555 * [taylor]: Taking taylor expansion of kx in ky
15.555 * [backup-simplify]: Simplify kx into kx
15.555 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.555 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.555 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.555 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.555 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.555 * [taylor]: Taking taylor expansion of kx in ky
15.555 * [backup-simplify]: Simplify kx into kx
15.555 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.555 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.555 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.555 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.555 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.555 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.555 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.555 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.555 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.555 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.556 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.556 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.556 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.556 * [backup-simplify]: Simplify (+ 0) into 0
15.557 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.558 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.558 * [backup-simplify]: Simplify (+ 0 0) into 0
15.558 * [backup-simplify]: Simplify (+ 0) into 0
15.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.559 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.559 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.559 * [backup-simplify]: Simplify (+ 0 0) into 0
15.560 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.560 * [backup-simplify]: Simplify (+ 0 0) into 0
15.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.560 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.561 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.561 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.561 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
15.561 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.562 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
15.562 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in ky
15.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in ky
15.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in ky
15.562 * [taylor]: Taking taylor expansion of 1/3 in ky
15.562 * [backup-simplify]: Simplify 1/3 into 1/3
15.562 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in ky
15.562 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in ky
15.562 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
15.562 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.562 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.562 * [taylor]: Taking taylor expansion of ky in ky
15.562 * [backup-simplify]: Simplify 0 into 0
15.562 * [backup-simplify]: Simplify 1 into 1
15.562 * [backup-simplify]: Simplify (/ 1 1) into 1
15.562 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.562 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in ky
15.562 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.563 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.563 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.563 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.563 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.563 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.563 * [taylor]: Taking taylor expansion of ky in ky
15.563 * [backup-simplify]: Simplify 0 into 0
15.563 * [backup-simplify]: Simplify 1 into 1
15.563 * [backup-simplify]: Simplify (/ 1 1) into 1
15.563 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.563 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.563 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.563 * [taylor]: Taking taylor expansion of ky in ky
15.563 * [backup-simplify]: Simplify 0 into 0
15.563 * [backup-simplify]: Simplify 1 into 1
15.563 * [backup-simplify]: Simplify (/ 1 1) into 1
15.563 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.563 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.563 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.563 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.563 * [taylor]: Taking taylor expansion of kx in ky
15.563 * [backup-simplify]: Simplify kx into kx
15.563 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.564 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.564 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.564 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.564 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.564 * [taylor]: Taking taylor expansion of kx in ky
15.564 * [backup-simplify]: Simplify kx into kx
15.564 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.564 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.564 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.564 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.564 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.564 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.564 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.564 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.564 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.564 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.564 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.564 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.565 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.565 * [backup-simplify]: Simplify (+ 0) into 0
15.565 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.566 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.566 * [backup-simplify]: Simplify (+ 0 0) into 0
15.567 * [backup-simplify]: Simplify (+ 0) into 0
15.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.568 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.568 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.568 * [backup-simplify]: Simplify (+ 0 0) into 0
15.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.569 * [backup-simplify]: Simplify (+ 0 0) into 0
15.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.569 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.569 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.570 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.570 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
15.570 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.571 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
15.571 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) in kx
15.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in kx
15.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
15.571 * [taylor]: Taking taylor expansion of 1/3 in kx
15.571 * [backup-simplify]: Simplify 1/3 into 1/3
15.571 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.571 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.571 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.571 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.571 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.571 * [taylor]: Taking taylor expansion of ky in kx
15.571 * [backup-simplify]: Simplify ky into ky
15.571 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.571 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.571 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.571 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.571 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.571 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.571 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.571 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.571 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.571 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.571 * [taylor]: Taking taylor expansion of kx in kx
15.571 * [backup-simplify]: Simplify 0 into 0
15.571 * [backup-simplify]: Simplify 1 into 1
15.572 * [backup-simplify]: Simplify (/ 1 1) into 1
15.572 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.572 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.572 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.572 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.572 * [taylor]: Taking taylor expansion of ky in kx
15.572 * [backup-simplify]: Simplify ky into ky
15.572 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.572 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.572 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.572 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.572 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.573 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.573 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.573 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.573 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.573 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.574 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.574 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
15.575 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
15.576 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
15.576 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
15.577 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.577 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.579 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.581 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
15.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.583 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.583 * [taylor]: Taking taylor expansion of 0 in kx
15.583 * [backup-simplify]: Simplify 0 into 0
15.583 * [backup-simplify]: Simplify 0 into 0
15.584 * [backup-simplify]: Simplify (+ 0) into 0
15.584 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.586 * [backup-simplify]: Simplify (+ 0 0) into 0
15.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.587 * [backup-simplify]: Simplify (+ 0) into 0
15.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.589 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.589 * [backup-simplify]: Simplify (+ 0 0) into 0
15.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.590 * [backup-simplify]: Simplify (+ 0 0) into 0
15.591 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
15.594 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.595 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.595 * [backup-simplify]: Simplify 0 into 0
15.596 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.596 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.597 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.600 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.600 * [backup-simplify]: Simplify (+ 0 0) into 0
15.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.603 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.604 * [backup-simplify]: Simplify (+ 0 0) into 0
15.605 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.605 * [backup-simplify]: Simplify (+ 0 0) into 0
15.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.607 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.609 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
15.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.616 * [taylor]: Taking taylor expansion of 0 in kx
15.616 * [backup-simplify]: Simplify 0 into 0
15.616 * [backup-simplify]: Simplify 0 into 0
15.616 * [backup-simplify]: Simplify 0 into 0
15.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.618 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.619 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.619 * [backup-simplify]: Simplify (+ 0 0) into 0
15.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.622 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.622 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.623 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.624 * [backup-simplify]: Simplify (+ 0 0) into 0
15.625 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.625 * [backup-simplify]: Simplify (+ 0 0) into 0
15.627 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
15.631 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.634 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.634 * [backup-simplify]: Simplify 0 into 0
15.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
15.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
15.637 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.637 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.640 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.641 * [backup-simplify]: Simplify (+ 0 0) into 0
15.642 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.644 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.645 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.645 * [backup-simplify]: Simplify (+ 0 0) into 0
15.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
15.647 * [backup-simplify]: Simplify (+ 0 0) into 0
15.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.650 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.652 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.656 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 6) into 0
15.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
15.661 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.661 * [taylor]: Taking taylor expansion of 0 in kx
15.661 * [backup-simplify]: Simplify 0 into 0
15.661 * [backup-simplify]: Simplify 0 into 0
15.661 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ 1 (/ 1 ky))) 2) (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) 1/3) into (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
15.662 * [backup-simplify]: Simplify (* (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3)
15.662 * [approximate]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in (ky kx) around 0
15.662 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in kx
15.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in kx
15.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in kx
15.662 * [taylor]: Taking taylor expansion of 1/3 in kx
15.662 * [backup-simplify]: Simplify 1/3 into 1/3
15.662 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in kx
15.662 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in kx
15.662 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.663 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.663 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.663 * [taylor]: Taking taylor expansion of -1 in kx
15.663 * [backup-simplify]: Simplify -1 into -1
15.663 * [taylor]: Taking taylor expansion of ky in kx
15.663 * [backup-simplify]: Simplify ky into ky
15.663 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.663 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.663 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.663 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.663 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.663 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.663 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in kx
15.663 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
15.663 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.663 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
15.664 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.664 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.664 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.664 * [taylor]: Taking taylor expansion of -1 in kx
15.664 * [backup-simplify]: Simplify -1 into -1
15.664 * [taylor]: Taking taylor expansion of ky in kx
15.664 * [backup-simplify]: Simplify ky into ky
15.664 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.664 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.664 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.664 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.664 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.664 * [taylor]: Taking taylor expansion of -1 in kx
15.664 * [backup-simplify]: Simplify -1 into -1
15.664 * [taylor]: Taking taylor expansion of ky in kx
15.664 * [backup-simplify]: Simplify ky into ky
15.664 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.664 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.664 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.664 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.664 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.664 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.664 * [taylor]: Taking taylor expansion of -1 in kx
15.664 * [backup-simplify]: Simplify -1 into -1
15.664 * [taylor]: Taking taylor expansion of kx in kx
15.665 * [backup-simplify]: Simplify 0 into 0
15.665 * [backup-simplify]: Simplify 1 into 1
15.665 * [backup-simplify]: Simplify (/ -1 1) into -1
15.665 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.665 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.665 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.665 * [taylor]: Taking taylor expansion of -1 in kx
15.665 * [backup-simplify]: Simplify -1 into -1
15.665 * [taylor]: Taking taylor expansion of kx in kx
15.665 * [backup-simplify]: Simplify 0 into 0
15.665 * [backup-simplify]: Simplify 1 into 1
15.666 * [backup-simplify]: Simplify (/ -1 1) into -1
15.666 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.666 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.666 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.666 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.666 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.666 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.667 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.667 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.667 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.667 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.668 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.668 * [backup-simplify]: Simplify (+ 0) into 0
15.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.669 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.670 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.671 * [backup-simplify]: Simplify (+ 0 0) into 0
15.671 * [backup-simplify]: Simplify (+ 0) into 0
15.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.672 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.673 * [backup-simplify]: Simplify (+ 0 0) into 0
15.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.674 * [backup-simplify]: Simplify (+ 0 0) into 0
15.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.675 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.675 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.676 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.677 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
15.677 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.678 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
15.678 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in ky
15.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in ky
15.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in ky
15.678 * [taylor]: Taking taylor expansion of 1/3 in ky
15.678 * [backup-simplify]: Simplify 1/3 into 1/3
15.678 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in ky
15.678 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in ky
15.678 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
15.678 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.678 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.678 * [taylor]: Taking taylor expansion of -1 in ky
15.678 * [backup-simplify]: Simplify -1 into -1
15.678 * [taylor]: Taking taylor expansion of ky in ky
15.678 * [backup-simplify]: Simplify 0 into 0
15.678 * [backup-simplify]: Simplify 1 into 1
15.679 * [backup-simplify]: Simplify (/ -1 1) into -1
15.679 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.679 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in ky
15.679 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.679 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.679 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.679 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.679 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.679 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.679 * [taylor]: Taking taylor expansion of -1 in ky
15.679 * [backup-simplify]: Simplify -1 into -1
15.679 * [taylor]: Taking taylor expansion of ky in ky
15.679 * [backup-simplify]: Simplify 0 into 0
15.679 * [backup-simplify]: Simplify 1 into 1
15.680 * [backup-simplify]: Simplify (/ -1 1) into -1
15.680 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.680 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.680 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.680 * [taylor]: Taking taylor expansion of -1 in ky
15.680 * [backup-simplify]: Simplify -1 into -1
15.680 * [taylor]: Taking taylor expansion of ky in ky
15.680 * [backup-simplify]: Simplify 0 into 0
15.680 * [backup-simplify]: Simplify 1 into 1
15.681 * [backup-simplify]: Simplify (/ -1 1) into -1
15.681 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.681 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.681 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.681 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.681 * [taylor]: Taking taylor expansion of -1 in ky
15.681 * [backup-simplify]: Simplify -1 into -1
15.681 * [taylor]: Taking taylor expansion of kx in ky
15.681 * [backup-simplify]: Simplify kx into kx
15.681 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.681 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.681 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.681 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.681 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.681 * [taylor]: Taking taylor expansion of -1 in ky
15.681 * [backup-simplify]: Simplify -1 into -1
15.681 * [taylor]: Taking taylor expansion of kx in ky
15.681 * [backup-simplify]: Simplify kx into kx
15.681 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.681 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.681 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.682 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.682 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.682 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.682 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.682 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.682 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.682 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.682 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.683 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.683 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.684 * [backup-simplify]: Simplify (+ 0) into 0
15.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.685 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.686 * [backup-simplify]: Simplify (+ 0 0) into 0
15.687 * [backup-simplify]: Simplify (+ 0) into 0
15.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.688 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.689 * [backup-simplify]: Simplify (+ 0 0) into 0
15.689 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.690 * [backup-simplify]: Simplify (+ 0 0) into 0
15.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.690 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.691 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.692 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.692 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
15.693 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.694 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
15.694 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in ky
15.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in ky
15.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in ky
15.694 * [taylor]: Taking taylor expansion of 1/3 in ky
15.694 * [backup-simplify]: Simplify 1/3 into 1/3
15.694 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in ky
15.694 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in ky
15.694 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
15.694 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.694 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.694 * [taylor]: Taking taylor expansion of -1 in ky
15.694 * [backup-simplify]: Simplify -1 into -1
15.694 * [taylor]: Taking taylor expansion of ky in ky
15.694 * [backup-simplify]: Simplify 0 into 0
15.694 * [backup-simplify]: Simplify 1 into 1
15.699 * [backup-simplify]: Simplify (/ -1 1) into -1
15.699 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.699 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in ky
15.699 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.699 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.699 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.699 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.699 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.699 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.699 * [taylor]: Taking taylor expansion of -1 in ky
15.700 * [backup-simplify]: Simplify -1 into -1
15.700 * [taylor]: Taking taylor expansion of ky in ky
15.700 * [backup-simplify]: Simplify 0 into 0
15.700 * [backup-simplify]: Simplify 1 into 1
15.700 * [backup-simplify]: Simplify (/ -1 1) into -1
15.701 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.701 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.701 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.701 * [taylor]: Taking taylor expansion of -1 in ky
15.701 * [backup-simplify]: Simplify -1 into -1
15.701 * [taylor]: Taking taylor expansion of ky in ky
15.701 * [backup-simplify]: Simplify 0 into 0
15.701 * [backup-simplify]: Simplify 1 into 1
15.701 * [backup-simplify]: Simplify (/ -1 1) into -1
15.701 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.702 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.702 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.702 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.702 * [taylor]: Taking taylor expansion of -1 in ky
15.702 * [backup-simplify]: Simplify -1 into -1
15.702 * [taylor]: Taking taylor expansion of kx in ky
15.702 * [backup-simplify]: Simplify kx into kx
15.702 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.702 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.702 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.702 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.702 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.702 * [taylor]: Taking taylor expansion of -1 in ky
15.702 * [backup-simplify]: Simplify -1 into -1
15.702 * [taylor]: Taking taylor expansion of kx in ky
15.702 * [backup-simplify]: Simplify kx into kx
15.702 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.702 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.702 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.703 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.703 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.703 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.703 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.703 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.703 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.703 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.704 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.704 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.705 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.705 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.705 * [backup-simplify]: Simplify (+ 0) into 0
15.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.706 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.707 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.708 * [backup-simplify]: Simplify (+ 0 0) into 0
15.708 * [backup-simplify]: Simplify (+ 0) into 0
15.709 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.709 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.710 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.711 * [backup-simplify]: Simplify (+ 0 0) into 0
15.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.711 * [backup-simplify]: Simplify (+ 0 0) into 0
15.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.712 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.713 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.713 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.714 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
15.714 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.715 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
15.715 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) in kx
15.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in kx
15.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
15.715 * [taylor]: Taking taylor expansion of 1/3 in kx
15.715 * [backup-simplify]: Simplify 1/3 into 1/3
15.715 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.715 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.715 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.715 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.715 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.715 * [taylor]: Taking taylor expansion of -1 in kx
15.715 * [backup-simplify]: Simplify -1 into -1
15.715 * [taylor]: Taking taylor expansion of ky in kx
15.715 * [backup-simplify]: Simplify ky into ky
15.715 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.716 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.716 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.716 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.716 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.716 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.716 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.716 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.716 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.716 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.716 * [taylor]: Taking taylor expansion of -1 in kx
15.716 * [backup-simplify]: Simplify -1 into -1
15.716 * [taylor]: Taking taylor expansion of kx in kx
15.716 * [backup-simplify]: Simplify 0 into 0
15.716 * [backup-simplify]: Simplify 1 into 1
15.717 * [backup-simplify]: Simplify (/ -1 1) into -1
15.717 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.717 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.717 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.717 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.717 * [taylor]: Taking taylor expansion of -1 in kx
15.717 * [backup-simplify]: Simplify -1 into -1
15.717 * [taylor]: Taking taylor expansion of ky in kx
15.717 * [backup-simplify]: Simplify ky into ky
15.717 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.717 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.717 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.717 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.718 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.718 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.718 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.718 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.718 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.719 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.719 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.720 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
15.720 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.721 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
15.721 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
15.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.722 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.724 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
15.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.726 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.726 * [taylor]: Taking taylor expansion of 0 in kx
15.726 * [backup-simplify]: Simplify 0 into 0
15.726 * [backup-simplify]: Simplify 0 into 0
15.727 * [backup-simplify]: Simplify (+ 0) into 0
15.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.727 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.728 * [backup-simplify]: Simplify (+ 0 0) into 0
15.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.729 * [backup-simplify]: Simplify (+ 0) into 0
15.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.729 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.730 * [backup-simplify]: Simplify (+ 0 0) into 0
15.730 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.730 * [backup-simplify]: Simplify (+ 0 0) into 0
15.731 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
15.733 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.733 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.733 * [backup-simplify]: Simplify 0 into 0
15.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.735 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.736 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.736 * [backup-simplify]: Simplify (+ 0 0) into 0
15.737 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.738 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.738 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.739 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.739 * [backup-simplify]: Simplify (+ 0 0) into 0
15.739 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.740 * [backup-simplify]: Simplify (+ 0 0) into 0
15.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.741 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.742 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
15.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.746 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.746 * [taylor]: Taking taylor expansion of 0 in kx
15.746 * [backup-simplify]: Simplify 0 into 0
15.746 * [backup-simplify]: Simplify 0 into 0
15.746 * [backup-simplify]: Simplify 0 into 0
15.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.747 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.747 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.748 * [backup-simplify]: Simplify (+ 0 0) into 0
15.748 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.749 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.750 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.750 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.750 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.751 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.751 * [backup-simplify]: Simplify (+ 0 0) into 0
15.751 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.752 * [backup-simplify]: Simplify (+ 0 0) into 0
15.752 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
15.755 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.756 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.756 * [backup-simplify]: Simplify 0 into 0
15.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
15.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
15.758 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.758 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.759 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.760 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.761 * [backup-simplify]: Simplify (+ 0 0) into 0
15.762 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.763 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.765 * [backup-simplify]: Simplify (+ 0 0) into 0
15.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
15.767 * [backup-simplify]: Simplify (+ 0 0) into 0
15.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.769 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.771 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.776 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 6) into 0
15.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.780 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.780 * [taylor]: Taking taylor expansion of 0 in kx
15.780 * [backup-simplify]: Simplify 0 into 0
15.780 * [backup-simplify]: Simplify 0 into 0
15.781 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ -1 (/ 1 (- ky)))) 2) (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) 1/3) into (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
15.781 * * * [progress]: simplifying candidates
15.786 * [simplify]: Simplifying:
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) 1))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 1))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt 1)
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) 1))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 1))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt 1)
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) 1))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 1))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt 1)
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (log1p (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (+ 1 1)
  (+ (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (sqrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (sqrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) 1)) (cbrt (/ (sqrt (sin ky)) 1)))
  (* (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ 1 1)) (cbrt (/ 1 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* 1 1)
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ 1 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt 1))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) 1)
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (- (+ (* 1/9 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow kx 2))) (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) (* 7/27 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow ky 2))))
  (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
  (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
15.790 * * [simplify]: iteration 0: 171 enodes
15.833 * * [simplify]: iteration 1: 322 enodes
15.937 * * [simplify]: iteration 2: 754 enodes
16.211 * * [simplify]: iteration 3: 1695 enodes
17.653 * * [simplify]: iteration 4: 4759 enodes
18.873 * * [simplify]: iteration complete: 5000 enodes
18.873 * * [simplify]: Extracting #0: cost 88 inf + 0
18.876 * * [simplify]: Extracting #1: cost 513 inf + 3
18.883 * * [simplify]: Extracting #2: cost 980 inf + 2671
18.897 * * [simplify]: Extracting #3: cost 1126 inf + 23582
18.935 * * [simplify]: Extracting #4: cost 756 inf + 141530
19.011 * * [simplify]: Extracting #5: cost 243 inf + 349733
19.113 * * [simplify]: Extracting #6: cost 16 inf + 474602
19.209 * * [simplify]: Extracting #7: cost 0 inf + 485394
19.312 * [simplify]: Simplified to:
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (sin ky)))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (sin ky)))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (sin ky)))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (log1p (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  2/3
  2
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  2
  (+ (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (+ (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (fabs (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (fabs (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))) (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))
  (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (sin ky))) (cbrt (sqrt (sin ky))))
  (* (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))
  1
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  1
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  2/3
  2
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (sin ky))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (fma (exp (* (- (log ky) (log kx)) 1/3)) (fma kx (* 1/18 kx) (* -13/108 (* ky ky))) (exp (* (- (log ky) (log kx)) 1/3)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (fma (exp (* (- (log ky) (log kx)) 1/3)) (fma kx (* 1/18 kx) (* -13/108 (* ky ky))) (exp (* (- (log ky) (log kx)) 1/3)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (fma (exp (* (- (log ky) (log kx)) 1/3)) (fma kx (* 1/18 kx) (* -13/108 (* ky ky))) (exp (* (- (log ky) (log kx)) 1/3)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (fma (exp (* 2/3 (- (log ky) (log kx)))) (fma 1/9 (* kx kx) (* (* ky ky) -7/27)) (exp (* 2/3 (- (log ky) (log kx)))))
  (cbrt (/ (* (sin ky) (sin ky)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))
  (cbrt (/ (* (sin ky) (sin ky)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))
19.346 * * * [progress]: adding candidates to table
20.723 * * [progress]: iteration 4 / 4
20.724 * * * [progress]: picking best candidate
20.930 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))>
20.930 * * * [progress]: localizing error
21.002 * * * [progress]: generating rewritten candidates
21.002 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
21.006 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2)
21.010 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
21.013 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2)
21.054 * * * [progress]: generating series expansions
21.054 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
21.054 * [backup-simplify]: Simplify (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) into (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3)
21.054 * [approximate]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in (ky kx) around 0
21.054 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in kx
21.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in kx
21.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in kx
21.054 * [taylor]: Taking taylor expansion of 1/3 in kx
21.054 * [backup-simplify]: Simplify 1/3 into 1/3
21.054 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in kx
21.054 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
21.054 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.054 * [taylor]: Taking taylor expansion of ky in kx
21.054 * [backup-simplify]: Simplify ky into ky
21.054 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.054 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.054 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
21.055 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.055 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
21.055 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
21.055 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.055 * [taylor]: Taking taylor expansion of ky in kx
21.055 * [backup-simplify]: Simplify ky into ky
21.055 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.055 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.055 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.055 * [taylor]: Taking taylor expansion of ky in kx
21.055 * [backup-simplify]: Simplify ky into ky
21.055 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.055 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.055 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
21.055 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.055 * [taylor]: Taking taylor expansion of kx in kx
21.055 * [backup-simplify]: Simplify 0 into 0
21.055 * [backup-simplify]: Simplify 1 into 1
21.055 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.055 * [taylor]: Taking taylor expansion of kx in kx
21.055 * [backup-simplify]: Simplify 0 into 0
21.055 * [backup-simplify]: Simplify 1 into 1
21.055 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.055 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.055 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.055 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.055 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.055 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.055 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
21.056 * [backup-simplify]: Simplify (* 0 0) into 0
21.056 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
21.056 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
21.056 * [backup-simplify]: Simplify (+ 0) into 0
21.057 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.058 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.058 * [backup-simplify]: Simplify (+ 0 0) into 0
21.058 * [backup-simplify]: Simplify (+ 0) into 0
21.059 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.059 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.060 * [backup-simplify]: Simplify (+ 0 0) into 0
21.060 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
21.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.061 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.061 * [backup-simplify]: Simplify (+ 0 0) into 0
21.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
21.062 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.062 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.062 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.062 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
21.062 * [backup-simplify]: Simplify (log 1) into 0
21.062 * [backup-simplify]: Simplify (* 1/3 0) into 0
21.062 * [backup-simplify]: Simplify (+ 0) into 0
21.063 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.064 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.064 * [backup-simplify]: Simplify (+ 0 0) into 0
21.064 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))))) into 0
21.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.065 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
21.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.066 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.067 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.067 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.067 * [backup-simplify]: Simplify (+ 0 0) into 0
21.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.068 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.069 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.069 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.069 * [backup-simplify]: Simplify (+ 0 0) into 0
21.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.070 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.071 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.071 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.071 * [backup-simplify]: Simplify (+ 0 0) into 0
21.072 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
21.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.072 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
21.073 * [backup-simplify]: Simplify (+ 0 1) into 1
21.074 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
21.074 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ (/ 1/2 (sin ky)) (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (* 1/2 (/ 1 (pow (sin ky) 2))))
21.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (sin ky) 2))))) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow (sin ky) 2))
21.076 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/6 (/ 1 (pow (sin ky) 2))))
21.076 * [backup-simplify]: Simplify (exp 0) into 1
21.076 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
21.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
21.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
21.076 * [taylor]: Taking taylor expansion of 1/3 in ky
21.076 * [backup-simplify]: Simplify 1/3 into 1/3
21.076 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
21.076 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
21.076 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.076 * [taylor]: Taking taylor expansion of ky in ky
21.076 * [backup-simplify]: Simplify 0 into 0
21.076 * [backup-simplify]: Simplify 1 into 1
21.076 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
21.076 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.076 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
21.076 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
21.076 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.076 * [taylor]: Taking taylor expansion of ky in ky
21.076 * [backup-simplify]: Simplify 0 into 0
21.076 * [backup-simplify]: Simplify 1 into 1
21.076 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.076 * [taylor]: Taking taylor expansion of ky in ky
21.076 * [backup-simplify]: Simplify 0 into 0
21.076 * [backup-simplify]: Simplify 1 into 1
21.076 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
21.076 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.076 * [taylor]: Taking taylor expansion of kx in ky
21.076 * [backup-simplify]: Simplify kx into kx
21.076 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.076 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.076 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.076 * [taylor]: Taking taylor expansion of kx in ky
21.077 * [backup-simplify]: Simplify kx into kx
21.077 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.077 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.077 * [backup-simplify]: Simplify (* 0 0) into 0
21.077 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.077 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.077 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.077 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.077 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.077 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.078 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
21.078 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
21.078 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
21.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.080 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.080 * [backup-simplify]: Simplify (+ 0) into 0
21.081 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.082 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.082 * [backup-simplify]: Simplify (+ 0 0) into 0
21.083 * [backup-simplify]: Simplify (+ 0) into 0
21.083 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.085 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.085 * [backup-simplify]: Simplify (+ 0 0) into 0
21.085 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
21.085 * [backup-simplify]: Simplify (+ 0 0) into 0
21.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
21.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.086 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
21.087 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
21.087 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.087 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
21.088 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
21.088 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
21.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
21.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
21.088 * [taylor]: Taking taylor expansion of 1/3 in ky
21.088 * [backup-simplify]: Simplify 1/3 into 1/3
21.088 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
21.088 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
21.088 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.088 * [taylor]: Taking taylor expansion of ky in ky
21.088 * [backup-simplify]: Simplify 0 into 0
21.088 * [backup-simplify]: Simplify 1 into 1
21.088 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
21.088 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.088 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
21.088 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
21.088 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.088 * [taylor]: Taking taylor expansion of ky in ky
21.088 * [backup-simplify]: Simplify 0 into 0
21.088 * [backup-simplify]: Simplify 1 into 1
21.088 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.088 * [taylor]: Taking taylor expansion of ky in ky
21.088 * [backup-simplify]: Simplify 0 into 0
21.088 * [backup-simplify]: Simplify 1 into 1
21.088 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
21.088 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.088 * [taylor]: Taking taylor expansion of kx in ky
21.088 * [backup-simplify]: Simplify kx into kx
21.089 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.089 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.089 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.089 * [taylor]: Taking taylor expansion of kx in ky
21.089 * [backup-simplify]: Simplify kx into kx
21.089 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.089 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.089 * [backup-simplify]: Simplify (* 0 0) into 0
21.089 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.089 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.089 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.090 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.090 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.090 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.090 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
21.090 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
21.090 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
21.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.092 * [backup-simplify]: Simplify (+ 0) into 0
21.093 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.094 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.095 * [backup-simplify]: Simplify (+ 0 0) into 0
21.095 * [backup-simplify]: Simplify (+ 0) into 0
21.096 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.097 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.097 * [backup-simplify]: Simplify (+ 0 0) into 0
21.097 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
21.098 * [backup-simplify]: Simplify (+ 0 0) into 0
21.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
21.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.099 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
21.099 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
21.099 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.100 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
21.100 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
21.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
21.100 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
21.100 * [taylor]: Taking taylor expansion of 1/3 in kx
21.100 * [backup-simplify]: Simplify 1/3 into 1/3
21.100 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
21.100 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
21.100 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
21.100 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.100 * [taylor]: Taking taylor expansion of kx in kx
21.100 * [backup-simplify]: Simplify 0 into 0
21.100 * [backup-simplify]: Simplify 1 into 1
21.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.101 * [backup-simplify]: Simplify (/ 1 1) into 1
21.102 * [backup-simplify]: Simplify (log 1) into 0
21.102 * [taylor]: Taking taylor expansion of (log ky) in kx
21.102 * [taylor]: Taking taylor expansion of ky in kx
21.102 * [backup-simplify]: Simplify ky into ky
21.102 * [backup-simplify]: Simplify (log ky) into (log ky)
21.102 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
21.102 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
21.102 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
21.103 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.103 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.103 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.104 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
21.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sin kx)) 1)))) 1) into 0
21.105 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky)))) into 0
21.107 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.107 * [taylor]: Taking taylor expansion of 0 in kx
21.107 * [backup-simplify]: Simplify 0 into 0
21.107 * [backup-simplify]: Simplify 0 into 0
21.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
21.111 * [backup-simplify]: Simplify (+ 0 0) into 0
21.112 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
21.113 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.113 * [backup-simplify]: Simplify 0 into 0
21.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.116 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.116 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
21.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.119 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
21.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.120 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
21.120 * [backup-simplify]: Simplify (+ 0 0) into 0
21.121 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.122 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
21.123 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.123 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
21.124 * [backup-simplify]: Simplify (+ 0 0) into 0
21.124 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
21.125 * [backup-simplify]: Simplify (+ 1 0) into 1
21.126 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
21.126 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
21.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) 1)) (pow (/ 1 (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
21.129 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.129 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
21.131 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18)) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))))
21.131 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))))) in kx
21.131 * [taylor]: Taking taylor expansion of -1 in kx
21.131 * [backup-simplify]: Simplify -1 into -1
21.131 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))) in kx
21.131 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
21.131 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
21.131 * [taylor]: Taking taylor expansion of 1/6 in kx
21.131 * [backup-simplify]: Simplify 1/6 into 1/6
21.131 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
21.131 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
21.131 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.131 * [taylor]: Taking taylor expansion of kx in kx
21.131 * [backup-simplify]: Simplify 0 into 0
21.131 * [backup-simplify]: Simplify 1 into 1
21.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.132 * [backup-simplify]: Simplify (* 1 1) into 1
21.132 * [backup-simplify]: Simplify (/ 1 1) into 1
21.132 * [taylor]: Taking taylor expansion of 1/18 in kx
21.132 * [backup-simplify]: Simplify 1/18 into 1/18
21.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
21.132 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
21.132 * [taylor]: Taking taylor expansion of 1/3 in kx
21.132 * [backup-simplify]: Simplify 1/3 into 1/3
21.132 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
21.132 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
21.132 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
21.132 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.132 * [taylor]: Taking taylor expansion of kx in kx
21.132 * [backup-simplify]: Simplify 0 into 0
21.132 * [backup-simplify]: Simplify 1 into 1
21.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.133 * [backup-simplify]: Simplify (/ 1 1) into 1
21.133 * [backup-simplify]: Simplify (log 1) into 0
21.133 * [taylor]: Taking taylor expansion of (log ky) in kx
21.133 * [taylor]: Taking taylor expansion of ky in kx
21.133 * [backup-simplify]: Simplify ky into ky
21.133 * [backup-simplify]: Simplify (log ky) into (log ky)
21.134 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
21.134 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
21.134 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
21.134 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.134 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
21.135 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
21.137 * [backup-simplify]: Simplify (+ 0 0) into 0
21.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
21.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
21.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
21.142 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
21.142 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.143 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
21.143 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.144 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.145 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
21.146 * [backup-simplify]: Simplify (+ 0 0) into 0
21.146 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.148 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
21.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
21.152 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
21.152 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
21.153 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (log ky) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))
21.153 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (log ky) (log kx)))))) into 0
21.153 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))
21.154 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
21.154 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
21.154 * [backup-simplify]: Simplify 0 into 0
21.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
21.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
21.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
21.159 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.159 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
21.160 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.160 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.161 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) (pow (* kx 1) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (log ky) (log kx)))))) into (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
21.161 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
21.161 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx) around 0
21.161 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
21.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
21.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
21.161 * [taylor]: Taking taylor expansion of 1/3 in kx
21.161 * [backup-simplify]: Simplify 1/3 into 1/3
21.161 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
21.161 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
21.161 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.161 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.161 * [taylor]: Taking taylor expansion of ky in kx
21.161 * [backup-simplify]: Simplify ky into ky
21.161 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.161 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.161 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.161 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
21.161 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.162 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
21.162 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
21.162 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.162 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.162 * [taylor]: Taking taylor expansion of ky in kx
21.162 * [backup-simplify]: Simplify ky into ky
21.162 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.162 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.162 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.162 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.162 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.162 * [taylor]: Taking taylor expansion of ky in kx
21.162 * [backup-simplify]: Simplify ky into ky
21.162 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.162 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.162 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.162 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
21.162 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.162 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.162 * [taylor]: Taking taylor expansion of kx in kx
21.162 * [backup-simplify]: Simplify 0 into 0
21.162 * [backup-simplify]: Simplify 1 into 1
21.162 * [backup-simplify]: Simplify (/ 1 1) into 1
21.162 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.162 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.162 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.162 * [taylor]: Taking taylor expansion of kx in kx
21.162 * [backup-simplify]: Simplify 0 into 0
21.162 * [backup-simplify]: Simplify 1 into 1
21.163 * [backup-simplify]: Simplify (/ 1 1) into 1
21.163 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.163 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.163 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.163 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.163 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.163 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.163 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.163 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.163 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.164 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.164 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.164 * [backup-simplify]: Simplify (+ 0) into 0
21.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.166 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.167 * [backup-simplify]: Simplify (+ 0 0) into 0
21.167 * [backup-simplify]: Simplify (+ 0) into 0
21.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.169 * [backup-simplify]: Simplify (+ 0 0) into 0
21.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.170 * [backup-simplify]: Simplify (+ 0 0) into 0
21.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.170 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.170 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.170 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.171 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.171 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.172 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.172 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.172 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
21.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
21.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
21.172 * [taylor]: Taking taylor expansion of 1/3 in ky
21.172 * [backup-simplify]: Simplify 1/3 into 1/3
21.172 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
21.172 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
21.173 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.173 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.173 * [taylor]: Taking taylor expansion of ky in ky
21.173 * [backup-simplify]: Simplify 0 into 0
21.173 * [backup-simplify]: Simplify 1 into 1
21.173 * [backup-simplify]: Simplify (/ 1 1) into 1
21.173 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.173 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
21.173 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.173 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
21.173 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
21.173 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.173 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.173 * [taylor]: Taking taylor expansion of ky in ky
21.173 * [backup-simplify]: Simplify 0 into 0
21.173 * [backup-simplify]: Simplify 1 into 1
21.174 * [backup-simplify]: Simplify (/ 1 1) into 1
21.174 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.174 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.174 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.174 * [taylor]: Taking taylor expansion of ky in ky
21.174 * [backup-simplify]: Simplify 0 into 0
21.174 * [backup-simplify]: Simplify 1 into 1
21.174 * [backup-simplify]: Simplify (/ 1 1) into 1
21.174 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.174 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
21.175 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.175 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.175 * [taylor]: Taking taylor expansion of kx in ky
21.175 * [backup-simplify]: Simplify kx into kx
21.175 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.175 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.175 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.175 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.175 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.175 * [taylor]: Taking taylor expansion of kx in ky
21.175 * [backup-simplify]: Simplify kx into kx
21.175 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.175 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.175 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.175 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.175 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.175 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.176 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.176 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.176 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.176 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.176 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.176 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.177 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.177 * [backup-simplify]: Simplify (+ 0) into 0
21.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.180 * [backup-simplify]: Simplify (+ 0 0) into 0
21.180 * [backup-simplify]: Simplify (+ 0) into 0
21.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.182 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.182 * [backup-simplify]: Simplify (+ 0 0) into 0
21.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.183 * [backup-simplify]: Simplify (+ 0 0) into 0
21.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.184 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.184 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.185 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.185 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.185 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
21.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
21.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
21.185 * [taylor]: Taking taylor expansion of 1/3 in ky
21.185 * [backup-simplify]: Simplify 1/3 into 1/3
21.185 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
21.186 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
21.186 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.186 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.186 * [taylor]: Taking taylor expansion of ky in ky
21.186 * [backup-simplify]: Simplify 0 into 0
21.186 * [backup-simplify]: Simplify 1 into 1
21.186 * [backup-simplify]: Simplify (/ 1 1) into 1
21.186 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.186 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
21.186 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.186 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
21.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
21.186 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.186 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.186 * [taylor]: Taking taylor expansion of ky in ky
21.186 * [backup-simplify]: Simplify 0 into 0
21.186 * [backup-simplify]: Simplify 1 into 1
21.187 * [backup-simplify]: Simplify (/ 1 1) into 1
21.187 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.187 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.187 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.187 * [taylor]: Taking taylor expansion of ky in ky
21.187 * [backup-simplify]: Simplify 0 into 0
21.187 * [backup-simplify]: Simplify 1 into 1
21.187 * [backup-simplify]: Simplify (/ 1 1) into 1
21.188 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.188 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
21.188 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.188 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.188 * [taylor]: Taking taylor expansion of kx in ky
21.188 * [backup-simplify]: Simplify kx into kx
21.188 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.188 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.188 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.188 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.188 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.188 * [taylor]: Taking taylor expansion of kx in ky
21.188 * [backup-simplify]: Simplify kx into kx
21.188 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.188 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.188 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.188 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.188 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.188 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.189 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.189 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.189 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.189 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.189 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.189 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.190 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.190 * [backup-simplify]: Simplify (+ 0) into 0
21.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.192 * [backup-simplify]: Simplify (+ 0 0) into 0
21.193 * [backup-simplify]: Simplify (+ 0) into 0
21.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.195 * [backup-simplify]: Simplify (+ 0 0) into 0
21.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.196 * [backup-simplify]: Simplify (+ 0 0) into 0
21.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.197 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.197 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.198 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.198 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.198 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) in kx
21.198 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) in kx
21.198 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) in kx
21.198 * [taylor]: Taking taylor expansion of 1/3 in kx
21.198 * [backup-simplify]: Simplify 1/3 into 1/3
21.198 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
21.198 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
21.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
21.199 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
21.199 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
21.199 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
21.199 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.199 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.199 * [taylor]: Taking taylor expansion of kx in kx
21.199 * [backup-simplify]: Simplify 0 into 0
21.199 * [backup-simplify]: Simplify 1 into 1
21.199 * [backup-simplify]: Simplify (/ 1 1) into 1
21.199 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.199 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
21.199 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.199 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.199 * [taylor]: Taking taylor expansion of ky in kx
21.199 * [backup-simplify]: Simplify ky into ky
21.199 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.200 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.200 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.200 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.200 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.200 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.200 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.200 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.201 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.201 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.201 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
21.201 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.202 * [backup-simplify]: Simplify (+ 0) into 0
21.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.204 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.204 * [backup-simplify]: Simplify (+ 0 0) into 0
21.204 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.205 * [backup-simplify]: Simplify (+ 0 0) into 0
21.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.206 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.206 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.206 * [taylor]: Taking taylor expansion of ky in kx
21.206 * [backup-simplify]: Simplify ky into ky
21.206 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.206 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.206 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.206 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.206 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.206 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.207 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.207 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.208 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.208 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.209 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.210 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
21.213 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
21.214 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.214 * [taylor]: Taking taylor expansion of 0 in kx
21.214 * [backup-simplify]: Simplify 0 into 0
21.214 * [backup-simplify]: Simplify 0 into 0
21.214 * [backup-simplify]: Simplify (+ 0) into 0
21.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.217 * [backup-simplify]: Simplify (+ 0 0) into 0
21.217 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
21.218 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
21.219 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
21.221 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.221 * [backup-simplify]: Simplify 0 into 0
21.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.222 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.224 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.225 * [backup-simplify]: Simplify (+ 0 0) into 0
21.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.228 * [backup-simplify]: Simplify (+ 0 0) into 0
21.229 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
21.229 * [backup-simplify]: Simplify (+ 0 0) into 0
21.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.232 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
21.237 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
21.239 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.239 * [taylor]: Taking taylor expansion of 0 in kx
21.239 * [backup-simplify]: Simplify 0 into 0
21.239 * [backup-simplify]: Simplify 0 into 0
21.239 * [backup-simplify]: Simplify 0 into 0
21.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.242 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.243 * [backup-simplify]: Simplify (+ 0 0) into 0
21.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
21.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.245 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.246 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.247 * [backup-simplify]: Simplify (+ 0 0) into 0
21.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.248 * [backup-simplify]: Simplify (+ 0 0) into 0
21.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.252 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
21.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
21.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.259 * [backup-simplify]: Simplify 0 into 0
21.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
21.261 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.262 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.265 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.266 * [backup-simplify]: Simplify (+ 0 0) into 0
21.267 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.269 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.270 * [backup-simplify]: Simplify (+ 0 0) into 0
21.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
21.270 * [backup-simplify]: Simplify (+ 0 0) into 0
21.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.272 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 6) into 0
21.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))))) into 0
21.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.278 * [taylor]: Taking taylor expansion of 0 in kx
21.278 * [backup-simplify]: Simplify 0 into 0
21.278 * [backup-simplify]: Simplify 0 into 0
21.279 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
21.279 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
21.279 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx) around 0
21.279 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
21.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
21.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
21.279 * [taylor]: Taking taylor expansion of 1/3 in kx
21.279 * [backup-simplify]: Simplify 1/3 into 1/3
21.279 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
21.279 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
21.279 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.279 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.279 * [taylor]: Taking taylor expansion of -1 in kx
21.279 * [backup-simplify]: Simplify -1 into -1
21.279 * [taylor]: Taking taylor expansion of ky in kx
21.279 * [backup-simplify]: Simplify ky into ky
21.279 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.279 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.279 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.279 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
21.279 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.279 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
21.279 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
21.279 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.279 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.279 * [taylor]: Taking taylor expansion of -1 in kx
21.279 * [backup-simplify]: Simplify -1 into -1
21.279 * [taylor]: Taking taylor expansion of ky in kx
21.279 * [backup-simplify]: Simplify ky into ky
21.280 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.280 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.280 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.280 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.280 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.280 * [taylor]: Taking taylor expansion of -1 in kx
21.280 * [backup-simplify]: Simplify -1 into -1
21.280 * [taylor]: Taking taylor expansion of ky in kx
21.280 * [backup-simplify]: Simplify ky into ky
21.280 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.280 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.280 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.280 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
21.280 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.280 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.280 * [taylor]: Taking taylor expansion of -1 in kx
21.280 * [backup-simplify]: Simplify -1 into -1
21.280 * [taylor]: Taking taylor expansion of kx in kx
21.280 * [backup-simplify]: Simplify 0 into 0
21.280 * [backup-simplify]: Simplify 1 into 1
21.280 * [backup-simplify]: Simplify (/ -1 1) into -1
21.280 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.280 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.280 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.281 * [taylor]: Taking taylor expansion of -1 in kx
21.281 * [backup-simplify]: Simplify -1 into -1
21.281 * [taylor]: Taking taylor expansion of kx in kx
21.281 * [backup-simplify]: Simplify 0 into 0
21.281 * [backup-simplify]: Simplify 1 into 1
21.281 * [backup-simplify]: Simplify (/ -1 1) into -1
21.281 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.281 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.281 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.281 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.281 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.281 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.281 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.281 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.282 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.282 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.282 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.282 * [backup-simplify]: Simplify (+ 0) into 0
21.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.283 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.284 * [backup-simplify]: Simplify (+ 0 0) into 0
21.284 * [backup-simplify]: Simplify (+ 0) into 0
21.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.285 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.286 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.286 * [backup-simplify]: Simplify (+ 0 0) into 0
21.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.286 * [backup-simplify]: Simplify (+ 0 0) into 0
21.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.287 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.287 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.287 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.288 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.288 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.289 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.289 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.289 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
21.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
21.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
21.289 * [taylor]: Taking taylor expansion of 1/3 in ky
21.289 * [backup-simplify]: Simplify 1/3 into 1/3
21.289 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
21.290 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
21.290 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.290 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.290 * [taylor]: Taking taylor expansion of -1 in ky
21.290 * [backup-simplify]: Simplify -1 into -1
21.290 * [taylor]: Taking taylor expansion of ky in ky
21.290 * [backup-simplify]: Simplify 0 into 0
21.290 * [backup-simplify]: Simplify 1 into 1
21.290 * [backup-simplify]: Simplify (/ -1 1) into -1
21.290 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.290 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
21.291 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.291 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
21.291 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
21.291 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.291 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.291 * [taylor]: Taking taylor expansion of -1 in ky
21.291 * [backup-simplify]: Simplify -1 into -1
21.291 * [taylor]: Taking taylor expansion of ky in ky
21.291 * [backup-simplify]: Simplify 0 into 0
21.291 * [backup-simplify]: Simplify 1 into 1
21.291 * [backup-simplify]: Simplify (/ -1 1) into -1
21.291 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.291 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.291 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.291 * [taylor]: Taking taylor expansion of -1 in ky
21.291 * [backup-simplify]: Simplify -1 into -1
21.291 * [taylor]: Taking taylor expansion of ky in ky
21.291 * [backup-simplify]: Simplify 0 into 0
21.291 * [backup-simplify]: Simplify 1 into 1
21.292 * [backup-simplify]: Simplify (/ -1 1) into -1
21.292 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.292 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
21.292 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.292 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.292 * [taylor]: Taking taylor expansion of -1 in ky
21.292 * [backup-simplify]: Simplify -1 into -1
21.292 * [taylor]: Taking taylor expansion of kx in ky
21.292 * [backup-simplify]: Simplify kx into kx
21.292 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.292 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.292 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.292 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.292 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.292 * [taylor]: Taking taylor expansion of -1 in ky
21.292 * [backup-simplify]: Simplify -1 into -1
21.292 * [taylor]: Taking taylor expansion of kx in ky
21.292 * [backup-simplify]: Simplify kx into kx
21.292 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.292 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.292 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.292 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.292 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.292 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.293 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.293 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.293 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.293 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.293 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.293 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.293 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.294 * [backup-simplify]: Simplify (+ 0) into 0
21.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.294 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.296 * [backup-simplify]: Simplify (+ 0 0) into 0
21.296 * [backup-simplify]: Simplify (+ 0) into 0
21.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.297 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.301 * [backup-simplify]: Simplify (+ 0 0) into 0
21.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.301 * [backup-simplify]: Simplify (+ 0 0) into 0
21.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.302 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.303 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.303 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.304 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.304 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
21.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
21.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
21.304 * [taylor]: Taking taylor expansion of 1/3 in ky
21.304 * [backup-simplify]: Simplify 1/3 into 1/3
21.304 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
21.304 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
21.304 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.304 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.304 * [taylor]: Taking taylor expansion of -1 in ky
21.304 * [backup-simplify]: Simplify -1 into -1
21.304 * [taylor]: Taking taylor expansion of ky in ky
21.304 * [backup-simplify]: Simplify 0 into 0
21.304 * [backup-simplify]: Simplify 1 into 1
21.305 * [backup-simplify]: Simplify (/ -1 1) into -1
21.305 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.305 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
21.305 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.305 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
21.305 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
21.305 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.305 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.305 * [taylor]: Taking taylor expansion of -1 in ky
21.305 * [backup-simplify]: Simplify -1 into -1
21.305 * [taylor]: Taking taylor expansion of ky in ky
21.305 * [backup-simplify]: Simplify 0 into 0
21.305 * [backup-simplify]: Simplify 1 into 1
21.306 * [backup-simplify]: Simplify (/ -1 1) into -1
21.306 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.306 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.306 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.306 * [taylor]: Taking taylor expansion of -1 in ky
21.306 * [backup-simplify]: Simplify -1 into -1
21.306 * [taylor]: Taking taylor expansion of ky in ky
21.306 * [backup-simplify]: Simplify 0 into 0
21.306 * [backup-simplify]: Simplify 1 into 1
21.307 * [backup-simplify]: Simplify (/ -1 1) into -1
21.307 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.307 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
21.307 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.307 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.307 * [taylor]: Taking taylor expansion of -1 in ky
21.307 * [backup-simplify]: Simplify -1 into -1
21.307 * [taylor]: Taking taylor expansion of kx in ky
21.307 * [backup-simplify]: Simplify kx into kx
21.307 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.307 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.307 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.307 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.307 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.307 * [taylor]: Taking taylor expansion of -1 in ky
21.307 * [backup-simplify]: Simplify -1 into -1
21.307 * [taylor]: Taking taylor expansion of kx in ky
21.307 * [backup-simplify]: Simplify kx into kx
21.307 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.307 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.307 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.308 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.308 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.308 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.308 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.308 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.308 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.308 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.308 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.309 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.309 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.310 * [backup-simplify]: Simplify (+ 0) into 0
21.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.311 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.312 * [backup-simplify]: Simplify (+ 0 0) into 0
21.312 * [backup-simplify]: Simplify (+ 0) into 0
21.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.313 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.314 * [backup-simplify]: Simplify (+ 0 0) into 0
21.314 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.314 * [backup-simplify]: Simplify (+ 0 0) into 0
21.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.314 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.315 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.315 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.315 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.316 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) in kx
21.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) in kx
21.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) in kx
21.316 * [taylor]: Taking taylor expansion of 1/3 in kx
21.316 * [backup-simplify]: Simplify 1/3 into 1/3
21.316 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
21.316 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
21.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
21.316 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
21.316 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
21.316 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
21.316 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.316 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.316 * [taylor]: Taking taylor expansion of -1 in kx
21.316 * [backup-simplify]: Simplify -1 into -1
21.316 * [taylor]: Taking taylor expansion of kx in kx
21.316 * [backup-simplify]: Simplify 0 into 0
21.316 * [backup-simplify]: Simplify 1 into 1
21.316 * [backup-simplify]: Simplify (/ -1 1) into -1
21.316 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.316 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
21.316 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.316 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.316 * [taylor]: Taking taylor expansion of -1 in kx
21.317 * [backup-simplify]: Simplify -1 into -1
21.317 * [taylor]: Taking taylor expansion of ky in kx
21.317 * [backup-simplify]: Simplify ky into ky
21.317 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.317 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.317 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.317 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.317 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.317 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.317 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.317 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.317 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.317 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.318 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
21.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.318 * [backup-simplify]: Simplify (+ 0) into 0
21.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.319 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.319 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.319 * [backup-simplify]: Simplify (+ 0 0) into 0
21.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.320 * [backup-simplify]: Simplify (+ 0 0) into 0
21.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.321 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.321 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.321 * [taylor]: Taking taylor expansion of -1 in kx
21.321 * [backup-simplify]: Simplify -1 into -1
21.321 * [taylor]: Taking taylor expansion of ky in kx
21.321 * [backup-simplify]: Simplify ky into ky
21.321 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.321 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.321 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.321 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.321 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.321 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.321 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.322 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.322 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.322 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.322 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.323 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
21.325 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
21.326 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.326 * [taylor]: Taking taylor expansion of 0 in kx
21.326 * [backup-simplify]: Simplify 0 into 0
21.326 * [backup-simplify]: Simplify 0 into 0
21.326 * [backup-simplify]: Simplify (+ 0) into 0
21.326 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.326 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.327 * [backup-simplify]: Simplify (+ 0 0) into 0
21.328 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
21.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
21.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
21.330 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.330 * [backup-simplify]: Simplify 0 into 0
21.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.331 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.332 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.332 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.333 * [backup-simplify]: Simplify (+ 0 0) into 0
21.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.334 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.335 * [backup-simplify]: Simplify (+ 0 0) into 0
21.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
21.335 * [backup-simplify]: Simplify (+ 0 0) into 0
21.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.337 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
21.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
21.341 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.341 * [taylor]: Taking taylor expansion of 0 in kx
21.341 * [backup-simplify]: Simplify 0 into 0
21.341 * [backup-simplify]: Simplify 0 into 0
21.341 * [backup-simplify]: Simplify 0 into 0
21.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.343 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.343 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.345 * [backup-simplify]: Simplify (+ 0 0) into 0
21.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
21.346 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.347 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.347 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.348 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.348 * [backup-simplify]: Simplify (+ 0 0) into 0
21.349 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.349 * [backup-simplify]: Simplify (+ 0 0) into 0
21.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.352 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
21.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
21.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.358 * [backup-simplify]: Simplify 0 into 0
21.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
21.359 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.360 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.360 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.363 * [backup-simplify]: Simplify (+ 0 0) into 0
21.363 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.364 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.367 * [backup-simplify]: Simplify (+ 0 0) into 0
21.368 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
21.368 * [backup-simplify]: Simplify (+ 0 0) into 0
21.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.372 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.376 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 6) into 0
21.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))))) into 0
21.380 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.380 * [taylor]: Taking taylor expansion of 0 in kx
21.380 * [backup-simplify]: Simplify 0 into 0
21.380 * [backup-simplify]: Simplify 0 into 0
21.380 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
21.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2)
21.381 * [backup-simplify]: Simplify (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) into (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3)
21.381 * [approximate]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in (ky kx) around 0
21.381 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in kx
21.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in kx
21.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in kx
21.381 * [taylor]: Taking taylor expansion of 1/3 in kx
21.381 * [backup-simplify]: Simplify 1/3 into 1/3
21.381 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in kx
21.381 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
21.381 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.381 * [taylor]: Taking taylor expansion of ky in kx
21.381 * [backup-simplify]: Simplify ky into ky
21.381 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.381 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.381 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
21.381 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.381 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
21.381 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
21.381 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.381 * [taylor]: Taking taylor expansion of ky in kx
21.381 * [backup-simplify]: Simplify ky into ky
21.381 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.381 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.382 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.382 * [taylor]: Taking taylor expansion of ky in kx
21.382 * [backup-simplify]: Simplify ky into ky
21.382 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.382 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.382 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
21.382 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.382 * [taylor]: Taking taylor expansion of kx in kx
21.382 * [backup-simplify]: Simplify 0 into 0
21.382 * [backup-simplify]: Simplify 1 into 1
21.382 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.382 * [taylor]: Taking taylor expansion of kx in kx
21.382 * [backup-simplify]: Simplify 0 into 0
21.382 * [backup-simplify]: Simplify 1 into 1
21.382 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.382 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.382 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.382 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.382 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.382 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.382 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
21.383 * [backup-simplify]: Simplify (* 0 0) into 0
21.383 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
21.383 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
21.383 * [backup-simplify]: Simplify (+ 0) into 0
21.384 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.385 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.385 * [backup-simplify]: Simplify (+ 0 0) into 0
21.386 * [backup-simplify]: Simplify (+ 0) into 0
21.386 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.387 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.387 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.388 * [backup-simplify]: Simplify (+ 0 0) into 0
21.388 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
21.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.390 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.390 * [backup-simplify]: Simplify (+ 0 0) into 0
21.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
21.390 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.390 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.390 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.390 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
21.391 * [backup-simplify]: Simplify (log 1) into 0
21.391 * [backup-simplify]: Simplify (* 1/3 0) into 0
21.391 * [backup-simplify]: Simplify (+ 0) into 0
21.392 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.393 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.393 * [backup-simplify]: Simplify (+ 0 0) into 0
21.394 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))))) into 0
21.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
21.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.397 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.397 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.398 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.398 * [backup-simplify]: Simplify (+ 0 0) into 0
21.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.400 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.401 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.401 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.402 * [backup-simplify]: Simplify (+ 0 0) into 0
21.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.403 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.404 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.405 * [backup-simplify]: Simplify (+ 0 0) into 0
21.405 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
21.406 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.406 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
21.407 * [backup-simplify]: Simplify (+ 0 1) into 1
21.408 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
21.409 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ (/ 1/2 (sin ky)) (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (* 1/2 (/ 1 (pow (sin ky) 2))))
21.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (sin ky) 2))))) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow (sin ky) 2))
21.411 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/6 (/ 1 (pow (sin ky) 2))))
21.411 * [backup-simplify]: Simplify (exp 0) into 1
21.411 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
21.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
21.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
21.411 * [taylor]: Taking taylor expansion of 1/3 in ky
21.411 * [backup-simplify]: Simplify 1/3 into 1/3
21.411 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
21.411 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
21.411 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.411 * [taylor]: Taking taylor expansion of ky in ky
21.411 * [backup-simplify]: Simplify 0 into 0
21.411 * [backup-simplify]: Simplify 1 into 1
21.411 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
21.412 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.412 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
21.412 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
21.412 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.412 * [taylor]: Taking taylor expansion of ky in ky
21.412 * [backup-simplify]: Simplify 0 into 0
21.412 * [backup-simplify]: Simplify 1 into 1
21.412 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.412 * [taylor]: Taking taylor expansion of ky in ky
21.412 * [backup-simplify]: Simplify 0 into 0
21.412 * [backup-simplify]: Simplify 1 into 1
21.412 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
21.412 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.412 * [taylor]: Taking taylor expansion of kx in ky
21.412 * [backup-simplify]: Simplify kx into kx
21.412 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.412 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.412 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.412 * [taylor]: Taking taylor expansion of kx in ky
21.412 * [backup-simplify]: Simplify kx into kx
21.412 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.412 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.412 * [backup-simplify]: Simplify (* 0 0) into 0
21.413 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.413 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.413 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.413 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.413 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.413 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.413 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
21.413 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
21.413 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
21.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.415 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.416 * [backup-simplify]: Simplify (+ 0) into 0
21.416 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.417 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.417 * [backup-simplify]: Simplify (+ 0 0) into 0
21.418 * [backup-simplify]: Simplify (+ 0) into 0
21.418 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.419 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.420 * [backup-simplify]: Simplify (+ 0 0) into 0
21.420 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
21.420 * [backup-simplify]: Simplify (+ 0 0) into 0
21.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
21.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.421 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
21.421 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
21.422 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.422 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
21.422 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
21.422 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
21.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
21.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
21.422 * [taylor]: Taking taylor expansion of 1/3 in ky
21.422 * [backup-simplify]: Simplify 1/3 into 1/3
21.422 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
21.422 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
21.422 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.422 * [taylor]: Taking taylor expansion of ky in ky
21.422 * [backup-simplify]: Simplify 0 into 0
21.422 * [backup-simplify]: Simplify 1 into 1
21.422 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
21.422 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.422 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
21.423 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
21.423 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.423 * [taylor]: Taking taylor expansion of ky in ky
21.423 * [backup-simplify]: Simplify 0 into 0
21.423 * [backup-simplify]: Simplify 1 into 1
21.423 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.423 * [taylor]: Taking taylor expansion of ky in ky
21.423 * [backup-simplify]: Simplify 0 into 0
21.423 * [backup-simplify]: Simplify 1 into 1
21.423 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
21.423 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.423 * [taylor]: Taking taylor expansion of kx in ky
21.423 * [backup-simplify]: Simplify kx into kx
21.423 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.423 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.423 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.423 * [taylor]: Taking taylor expansion of kx in ky
21.423 * [backup-simplify]: Simplify kx into kx
21.423 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.423 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.423 * [backup-simplify]: Simplify (* 0 0) into 0
21.424 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.424 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.424 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.424 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.424 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.424 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.424 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
21.424 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
21.425 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
21.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.427 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.428 * [backup-simplify]: Simplify (+ 0) into 0
21.428 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.429 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.430 * [backup-simplify]: Simplify (+ 0 0) into 0
21.430 * [backup-simplify]: Simplify (+ 0) into 0
21.431 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.432 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.432 * [backup-simplify]: Simplify (+ 0 0) into 0
21.433 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
21.433 * [backup-simplify]: Simplify (+ 0 0) into 0
21.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
21.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.436 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
21.436 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
21.437 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.437 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
21.437 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
21.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
21.437 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
21.438 * [taylor]: Taking taylor expansion of 1/3 in kx
21.438 * [backup-simplify]: Simplify 1/3 into 1/3
21.438 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
21.438 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
21.438 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
21.438 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.438 * [taylor]: Taking taylor expansion of kx in kx
21.438 * [backup-simplify]: Simplify 0 into 0
21.438 * [backup-simplify]: Simplify 1 into 1
21.439 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.439 * [backup-simplify]: Simplify (/ 1 1) into 1
21.439 * [backup-simplify]: Simplify (log 1) into 0
21.439 * [taylor]: Taking taylor expansion of (log ky) in kx
21.439 * [taylor]: Taking taylor expansion of ky in kx
21.439 * [backup-simplify]: Simplify ky into ky
21.439 * [backup-simplify]: Simplify (log ky) into (log ky)
21.440 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
21.440 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
21.440 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
21.440 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.441 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.442 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.442 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
21.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sin kx)) 1)))) 1) into 0
21.444 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky)))) into 0
21.445 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.445 * [taylor]: Taking taylor expansion of 0 in kx
21.445 * [backup-simplify]: Simplify 0 into 0
21.445 * [backup-simplify]: Simplify 0 into 0
21.446 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
21.450 * [backup-simplify]: Simplify (+ 0 0) into 0
21.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
21.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.452 * [backup-simplify]: Simplify 0 into 0
21.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.455 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
21.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.457 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
21.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.458 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
21.458 * [backup-simplify]: Simplify (+ 0 0) into 0
21.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.459 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
21.459 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.460 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
21.460 * [backup-simplify]: Simplify (+ 0 0) into 0
21.460 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
21.461 * [backup-simplify]: Simplify (+ 1 0) into 1
21.461 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
21.461 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
21.463 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) 1)) (pow (/ 1 (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
21.463 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.463 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
21.464 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18)) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))))
21.464 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))))) in kx
21.464 * [taylor]: Taking taylor expansion of -1 in kx
21.464 * [backup-simplify]: Simplify -1 into -1
21.464 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))) in kx
21.464 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
21.464 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
21.464 * [taylor]: Taking taylor expansion of 1/6 in kx
21.464 * [backup-simplify]: Simplify 1/6 into 1/6
21.464 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
21.464 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
21.464 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.464 * [taylor]: Taking taylor expansion of kx in kx
21.464 * [backup-simplify]: Simplify 0 into 0
21.465 * [backup-simplify]: Simplify 1 into 1
21.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.465 * [backup-simplify]: Simplify (* 1 1) into 1
21.465 * [backup-simplify]: Simplify (/ 1 1) into 1
21.465 * [taylor]: Taking taylor expansion of 1/18 in kx
21.465 * [backup-simplify]: Simplify 1/18 into 1/18
21.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
21.465 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
21.466 * [taylor]: Taking taylor expansion of 1/3 in kx
21.466 * [backup-simplify]: Simplify 1/3 into 1/3
21.466 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
21.466 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
21.466 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
21.466 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.466 * [taylor]: Taking taylor expansion of kx in kx
21.466 * [backup-simplify]: Simplify 0 into 0
21.466 * [backup-simplify]: Simplify 1 into 1
21.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.466 * [backup-simplify]: Simplify (/ 1 1) into 1
21.467 * [backup-simplify]: Simplify (log 1) into 0
21.467 * [taylor]: Taking taylor expansion of (log ky) in kx
21.467 * [taylor]: Taking taylor expansion of ky in kx
21.467 * [backup-simplify]: Simplify ky into ky
21.467 * [backup-simplify]: Simplify (log ky) into (log ky)
21.467 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
21.467 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
21.467 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
21.467 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.467 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
21.468 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.468 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
21.470 * [backup-simplify]: Simplify (+ 0 0) into 0
21.471 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
21.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
21.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
21.475 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
21.475 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.476 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
21.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.477 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.479 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
21.479 * [backup-simplify]: Simplify (+ 0 0) into 0
21.479 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.481 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
21.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
21.482 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
21.482 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
21.483 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (log ky) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))
21.483 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (log ky) (log kx)))))) into 0
21.483 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))
21.484 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
21.484 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
21.484 * [backup-simplify]: Simplify 0 into 0
21.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
21.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
21.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
21.489 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.489 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
21.490 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.490 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.491 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) (pow (* kx 1) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (log ky) (log kx)))))) into (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
21.491 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
21.491 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx) around 0
21.491 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
21.491 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
21.491 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
21.491 * [taylor]: Taking taylor expansion of 1/3 in kx
21.491 * [backup-simplify]: Simplify 1/3 into 1/3
21.491 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
21.491 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
21.491 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.491 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.491 * [taylor]: Taking taylor expansion of ky in kx
21.491 * [backup-simplify]: Simplify ky into ky
21.491 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.491 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.491 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.491 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
21.492 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.492 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
21.492 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
21.492 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.492 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.492 * [taylor]: Taking taylor expansion of ky in kx
21.492 * [backup-simplify]: Simplify ky into ky
21.492 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.492 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.492 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.492 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.492 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.492 * [taylor]: Taking taylor expansion of ky in kx
21.492 * [backup-simplify]: Simplify ky into ky
21.492 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.492 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.492 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.492 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
21.492 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.492 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.492 * [taylor]: Taking taylor expansion of kx in kx
21.492 * [backup-simplify]: Simplify 0 into 0
21.492 * [backup-simplify]: Simplify 1 into 1
21.493 * [backup-simplify]: Simplify (/ 1 1) into 1
21.493 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.493 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.493 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.493 * [taylor]: Taking taylor expansion of kx in kx
21.493 * [backup-simplify]: Simplify 0 into 0
21.493 * [backup-simplify]: Simplify 1 into 1
21.493 * [backup-simplify]: Simplify (/ 1 1) into 1
21.493 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.493 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.494 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.494 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.494 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.494 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.494 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.494 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.494 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.495 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.495 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.495 * [backup-simplify]: Simplify (+ 0) into 0
21.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.497 * [backup-simplify]: Simplify (+ 0 0) into 0
21.498 * [backup-simplify]: Simplify (+ 0) into 0
21.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.499 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.500 * [backup-simplify]: Simplify (+ 0 0) into 0
21.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.500 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.500 * [backup-simplify]: Simplify (+ 0 0) into 0
21.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.501 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.501 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.501 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.502 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.502 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.503 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.503 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.503 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
21.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
21.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
21.503 * [taylor]: Taking taylor expansion of 1/3 in ky
21.503 * [backup-simplify]: Simplify 1/3 into 1/3
21.503 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
21.503 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
21.503 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.503 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.503 * [taylor]: Taking taylor expansion of ky in ky
21.503 * [backup-simplify]: Simplify 0 into 0
21.503 * [backup-simplify]: Simplify 1 into 1
21.504 * [backup-simplify]: Simplify (/ 1 1) into 1
21.504 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.504 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
21.504 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.504 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
21.504 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
21.504 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.504 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.504 * [taylor]: Taking taylor expansion of ky in ky
21.504 * [backup-simplify]: Simplify 0 into 0
21.504 * [backup-simplify]: Simplify 1 into 1
21.505 * [backup-simplify]: Simplify (/ 1 1) into 1
21.505 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.505 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.505 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.505 * [taylor]: Taking taylor expansion of ky in ky
21.505 * [backup-simplify]: Simplify 0 into 0
21.505 * [backup-simplify]: Simplify 1 into 1
21.505 * [backup-simplify]: Simplify (/ 1 1) into 1
21.505 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.505 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
21.506 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.506 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.506 * [taylor]: Taking taylor expansion of kx in ky
21.506 * [backup-simplify]: Simplify kx into kx
21.506 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.506 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.506 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.506 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.506 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.506 * [taylor]: Taking taylor expansion of kx in ky
21.506 * [backup-simplify]: Simplify kx into kx
21.506 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.506 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.506 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.506 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.506 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.506 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.507 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.507 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.507 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.507 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.507 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.507 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.508 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.508 * [backup-simplify]: Simplify (+ 0) into 0
21.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.510 * [backup-simplify]: Simplify (+ 0 0) into 0
21.511 * [backup-simplify]: Simplify (+ 0) into 0
21.511 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.513 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.513 * [backup-simplify]: Simplify (+ 0 0) into 0
21.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.514 * [backup-simplify]: Simplify (+ 0 0) into 0
21.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.514 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.515 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.515 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.516 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.516 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
21.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
21.516 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
21.516 * [taylor]: Taking taylor expansion of 1/3 in ky
21.516 * [backup-simplify]: Simplify 1/3 into 1/3
21.516 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
21.516 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
21.516 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.516 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.516 * [taylor]: Taking taylor expansion of ky in ky
21.516 * [backup-simplify]: Simplify 0 into 0
21.516 * [backup-simplify]: Simplify 1 into 1
21.517 * [backup-simplify]: Simplify (/ 1 1) into 1
21.517 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.517 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
21.517 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.517 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
21.517 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
21.517 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.517 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.517 * [taylor]: Taking taylor expansion of ky in ky
21.517 * [backup-simplify]: Simplify 0 into 0
21.517 * [backup-simplify]: Simplify 1 into 1
21.517 * [backup-simplify]: Simplify (/ 1 1) into 1
21.517 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.518 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.518 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.518 * [taylor]: Taking taylor expansion of ky in ky
21.518 * [backup-simplify]: Simplify 0 into 0
21.518 * [backup-simplify]: Simplify 1 into 1
21.518 * [backup-simplify]: Simplify (/ 1 1) into 1
21.518 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.518 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
21.518 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.518 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.518 * [taylor]: Taking taylor expansion of kx in ky
21.518 * [backup-simplify]: Simplify kx into kx
21.518 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.518 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.518 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.518 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.518 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.518 * [taylor]: Taking taylor expansion of kx in ky
21.518 * [backup-simplify]: Simplify kx into kx
21.519 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.519 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.519 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.519 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.519 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.519 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.519 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.519 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.519 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.519 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.520 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.520 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.520 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.521 * [backup-simplify]: Simplify (+ 0) into 0
21.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.523 * [backup-simplify]: Simplify (+ 0 0) into 0
21.523 * [backup-simplify]: Simplify (+ 0) into 0
21.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.525 * [backup-simplify]: Simplify (+ 0 0) into 0
21.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.526 * [backup-simplify]: Simplify (+ 0 0) into 0
21.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.527 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.527 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.528 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.528 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.528 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) in kx
21.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) in kx
21.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) in kx
21.528 * [taylor]: Taking taylor expansion of 1/3 in kx
21.528 * [backup-simplify]: Simplify 1/3 into 1/3
21.528 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
21.528 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
21.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
21.528 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
21.528 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
21.528 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
21.528 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.528 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.528 * [taylor]: Taking taylor expansion of kx in kx
21.528 * [backup-simplify]: Simplify 0 into 0
21.528 * [backup-simplify]: Simplify 1 into 1
21.529 * [backup-simplify]: Simplify (/ 1 1) into 1
21.529 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.529 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
21.529 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.529 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.529 * [taylor]: Taking taylor expansion of ky in kx
21.529 * [backup-simplify]: Simplify ky into ky
21.529 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.529 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.529 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.529 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.529 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.529 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.529 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.529 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.530 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.530 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.530 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
21.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.531 * [backup-simplify]: Simplify (+ 0) into 0
21.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.532 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.532 * [backup-simplify]: Simplify (+ 0 0) into 0
21.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.532 * [backup-simplify]: Simplify (+ 0 0) into 0
21.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.533 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.533 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.533 * [taylor]: Taking taylor expansion of ky in kx
21.533 * [backup-simplify]: Simplify ky into ky
21.533 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.533 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.533 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.533 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.534 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.534 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.534 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.534 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.534 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.535 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.535 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.536 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
21.537 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
21.539 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.539 * [taylor]: Taking taylor expansion of 0 in kx
21.539 * [backup-simplify]: Simplify 0 into 0
21.539 * [backup-simplify]: Simplify 0 into 0
21.539 * [backup-simplify]: Simplify (+ 0) into 0
21.540 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.541 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.541 * [backup-simplify]: Simplify (+ 0 0) into 0
21.542 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
21.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
21.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
21.544 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.544 * [backup-simplify]: Simplify 0 into 0
21.545 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.545 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.546 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.547 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.547 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.547 * [backup-simplify]: Simplify (+ 0 0) into 0
21.548 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.549 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.550 * [backup-simplify]: Simplify (+ 0 0) into 0
21.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
21.551 * [backup-simplify]: Simplify (+ 0 0) into 0
21.551 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.552 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.554 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
21.555 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
21.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.556 * [taylor]: Taking taylor expansion of 0 in kx
21.556 * [backup-simplify]: Simplify 0 into 0
21.556 * [backup-simplify]: Simplify 0 into 0
21.556 * [backup-simplify]: Simplify 0 into 0
21.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.561 * [backup-simplify]: Simplify (+ 0 0) into 0
21.561 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
21.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.562 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.563 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.563 * [backup-simplify]: Simplify (+ 0 0) into 0
21.564 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.564 * [backup-simplify]: Simplify (+ 0 0) into 0
21.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.566 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
21.568 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
21.569 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.569 * [backup-simplify]: Simplify 0 into 0
21.570 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
21.571 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.571 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.572 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.573 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.573 * [backup-simplify]: Simplify (+ 0 0) into 0
21.573 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.574 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.575 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.576 * [backup-simplify]: Simplify (+ 0 0) into 0
21.576 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
21.576 * [backup-simplify]: Simplify (+ 0 0) into 0
21.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.579 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.581 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 6) into 0
21.582 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))))) into 0
21.583 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.583 * [taylor]: Taking taylor expansion of 0 in kx
21.583 * [backup-simplify]: Simplify 0 into 0
21.583 * [backup-simplify]: Simplify 0 into 0
21.584 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
21.584 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
21.584 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx) around 0
21.584 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
21.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
21.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
21.584 * [taylor]: Taking taylor expansion of 1/3 in kx
21.584 * [backup-simplify]: Simplify 1/3 into 1/3
21.584 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
21.584 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
21.584 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.584 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.584 * [taylor]: Taking taylor expansion of -1 in kx
21.584 * [backup-simplify]: Simplify -1 into -1
21.584 * [taylor]: Taking taylor expansion of ky in kx
21.584 * [backup-simplify]: Simplify ky into ky
21.584 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.584 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.584 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.584 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
21.585 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.585 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
21.585 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
21.585 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.585 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.585 * [taylor]: Taking taylor expansion of -1 in kx
21.585 * [backup-simplify]: Simplify -1 into -1
21.585 * [taylor]: Taking taylor expansion of ky in kx
21.585 * [backup-simplify]: Simplify ky into ky
21.585 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.585 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.585 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.585 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.585 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.585 * [taylor]: Taking taylor expansion of -1 in kx
21.585 * [backup-simplify]: Simplify -1 into -1
21.585 * [taylor]: Taking taylor expansion of ky in kx
21.585 * [backup-simplify]: Simplify ky into ky
21.585 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.585 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.585 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.585 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
21.585 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.585 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.585 * [taylor]: Taking taylor expansion of -1 in kx
21.585 * [backup-simplify]: Simplify -1 into -1
21.585 * [taylor]: Taking taylor expansion of kx in kx
21.585 * [backup-simplify]: Simplify 0 into 0
21.585 * [backup-simplify]: Simplify 1 into 1
21.586 * [backup-simplify]: Simplify (/ -1 1) into -1
21.586 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.586 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.586 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.586 * [taylor]: Taking taylor expansion of -1 in kx
21.586 * [backup-simplify]: Simplify -1 into -1
21.586 * [taylor]: Taking taylor expansion of kx in kx
21.586 * [backup-simplify]: Simplify 0 into 0
21.586 * [backup-simplify]: Simplify 1 into 1
21.586 * [backup-simplify]: Simplify (/ -1 1) into -1
21.586 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.586 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.586 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.586 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.586 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.586 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.586 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.586 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.587 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.587 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.587 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.587 * [backup-simplify]: Simplify (+ 0) into 0
21.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.588 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.589 * [backup-simplify]: Simplify (+ 0 0) into 0
21.589 * [backup-simplify]: Simplify (+ 0) into 0
21.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.589 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.590 * [backup-simplify]: Simplify (+ 0 0) into 0
21.590 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.591 * [backup-simplify]: Simplify (+ 0 0) into 0
21.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.591 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.591 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.591 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.592 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.592 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.592 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.592 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.593 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
21.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
21.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
21.593 * [taylor]: Taking taylor expansion of 1/3 in ky
21.593 * [backup-simplify]: Simplify 1/3 into 1/3
21.593 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
21.593 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
21.593 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.593 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.593 * [taylor]: Taking taylor expansion of -1 in ky
21.593 * [backup-simplify]: Simplify -1 into -1
21.593 * [taylor]: Taking taylor expansion of ky in ky
21.593 * [backup-simplify]: Simplify 0 into 0
21.593 * [backup-simplify]: Simplify 1 into 1
21.593 * [backup-simplify]: Simplify (/ -1 1) into -1
21.593 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.593 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
21.593 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.593 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
21.593 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
21.593 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.593 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.593 * [taylor]: Taking taylor expansion of -1 in ky
21.593 * [backup-simplify]: Simplify -1 into -1
21.593 * [taylor]: Taking taylor expansion of ky in ky
21.593 * [backup-simplify]: Simplify 0 into 0
21.593 * [backup-simplify]: Simplify 1 into 1
21.594 * [backup-simplify]: Simplify (/ -1 1) into -1
21.594 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.594 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.594 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.594 * [taylor]: Taking taylor expansion of -1 in ky
21.594 * [backup-simplify]: Simplify -1 into -1
21.594 * [taylor]: Taking taylor expansion of ky in ky
21.594 * [backup-simplify]: Simplify 0 into 0
21.594 * [backup-simplify]: Simplify 1 into 1
21.594 * [backup-simplify]: Simplify (/ -1 1) into -1
21.594 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.594 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
21.594 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.594 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.594 * [taylor]: Taking taylor expansion of -1 in ky
21.594 * [backup-simplify]: Simplify -1 into -1
21.594 * [taylor]: Taking taylor expansion of kx in ky
21.594 * [backup-simplify]: Simplify kx into kx
21.594 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.594 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.594 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.594 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.594 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.594 * [taylor]: Taking taylor expansion of -1 in ky
21.594 * [backup-simplify]: Simplify -1 into -1
21.594 * [taylor]: Taking taylor expansion of kx in ky
21.594 * [backup-simplify]: Simplify kx into kx
21.595 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.595 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.595 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.595 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.595 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.595 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.595 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.595 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.595 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.595 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.595 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.595 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.596 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.596 * [backup-simplify]: Simplify (+ 0) into 0
21.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.596 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.597 * [backup-simplify]: Simplify (+ 0 0) into 0
21.598 * [backup-simplify]: Simplify (+ 0) into 0
21.598 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.598 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.599 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.599 * [backup-simplify]: Simplify (+ 0 0) into 0
21.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.599 * [backup-simplify]: Simplify (+ 0 0) into 0
21.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.600 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.600 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.601 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.601 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.601 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
21.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
21.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
21.601 * [taylor]: Taking taylor expansion of 1/3 in ky
21.601 * [backup-simplify]: Simplify 1/3 into 1/3
21.601 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
21.601 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
21.601 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.601 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.601 * [taylor]: Taking taylor expansion of -1 in ky
21.601 * [backup-simplify]: Simplify -1 into -1
21.601 * [taylor]: Taking taylor expansion of ky in ky
21.601 * [backup-simplify]: Simplify 0 into 0
21.601 * [backup-simplify]: Simplify 1 into 1
21.602 * [backup-simplify]: Simplify (/ -1 1) into -1
21.602 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.602 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
21.602 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.602 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
21.602 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
21.602 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.602 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.602 * [taylor]: Taking taylor expansion of -1 in ky
21.602 * [backup-simplify]: Simplify -1 into -1
21.602 * [taylor]: Taking taylor expansion of ky in ky
21.602 * [backup-simplify]: Simplify 0 into 0
21.602 * [backup-simplify]: Simplify 1 into 1
21.602 * [backup-simplify]: Simplify (/ -1 1) into -1
21.602 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.602 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.602 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.602 * [taylor]: Taking taylor expansion of -1 in ky
21.602 * [backup-simplify]: Simplify -1 into -1
21.602 * [taylor]: Taking taylor expansion of ky in ky
21.602 * [backup-simplify]: Simplify 0 into 0
21.602 * [backup-simplify]: Simplify 1 into 1
21.603 * [backup-simplify]: Simplify (/ -1 1) into -1
21.603 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.603 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
21.603 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.603 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.603 * [taylor]: Taking taylor expansion of -1 in ky
21.603 * [backup-simplify]: Simplify -1 into -1
21.603 * [taylor]: Taking taylor expansion of kx in ky
21.603 * [backup-simplify]: Simplify kx into kx
21.603 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.603 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.603 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.603 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.603 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.603 * [taylor]: Taking taylor expansion of -1 in ky
21.603 * [backup-simplify]: Simplify -1 into -1
21.603 * [taylor]: Taking taylor expansion of kx in ky
21.603 * [backup-simplify]: Simplify kx into kx
21.603 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.603 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.603 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.603 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.604 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.604 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.604 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.604 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.604 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.604 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.604 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.604 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.604 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.605 * [backup-simplify]: Simplify (+ 0) into 0
21.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.605 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.606 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.606 * [backup-simplify]: Simplify (+ 0 0) into 0
21.606 * [backup-simplify]: Simplify (+ 0) into 0
21.607 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.607 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.607 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.608 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.608 * [backup-simplify]: Simplify (+ 0 0) into 0
21.608 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.609 * [backup-simplify]: Simplify (+ 0 0) into 0
21.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.610 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.610 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.611 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.611 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.611 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) in kx
21.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) in kx
21.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) in kx
21.611 * [taylor]: Taking taylor expansion of 1/3 in kx
21.611 * [backup-simplify]: Simplify 1/3 into 1/3
21.611 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
21.611 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
21.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
21.612 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
21.612 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
21.612 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
21.612 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.612 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.612 * [taylor]: Taking taylor expansion of -1 in kx
21.612 * [backup-simplify]: Simplify -1 into -1
21.612 * [taylor]: Taking taylor expansion of kx in kx
21.612 * [backup-simplify]: Simplify 0 into 0
21.612 * [backup-simplify]: Simplify 1 into 1
21.612 * [backup-simplify]: Simplify (/ -1 1) into -1
21.612 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.612 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
21.612 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.612 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.612 * [taylor]: Taking taylor expansion of -1 in kx
21.612 * [backup-simplify]: Simplify -1 into -1
21.612 * [taylor]: Taking taylor expansion of ky in kx
21.613 * [backup-simplify]: Simplify ky into ky
21.613 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.613 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.613 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.613 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.613 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.613 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.613 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.613 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.614 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.614 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.614 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
21.615 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.615 * [backup-simplify]: Simplify (+ 0) into 0
21.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.616 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.617 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.617 * [backup-simplify]: Simplify (+ 0 0) into 0
21.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.618 * [backup-simplify]: Simplify (+ 0 0) into 0
21.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.619 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.619 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.619 * [taylor]: Taking taylor expansion of -1 in kx
21.619 * [backup-simplify]: Simplify -1 into -1
21.619 * [taylor]: Taking taylor expansion of ky in kx
21.619 * [backup-simplify]: Simplify ky into ky
21.619 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.619 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.619 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.619 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.619 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.620 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.620 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.620 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.621 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.622 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.622 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.623 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
21.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
21.627 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.627 * [taylor]: Taking taylor expansion of 0 in kx
21.627 * [backup-simplify]: Simplify 0 into 0
21.627 * [backup-simplify]: Simplify 0 into 0
21.628 * [backup-simplify]: Simplify (+ 0) into 0
21.628 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.628 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.630 * [backup-simplify]: Simplify (+ 0 0) into 0
21.630 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
21.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
21.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
21.635 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.635 * [backup-simplify]: Simplify 0 into 0
21.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.636 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.637 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.638 * [backup-simplify]: Simplify (+ 0 0) into 0
21.638 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.639 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.639 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.640 * [backup-simplify]: Simplify (+ 0 0) into 0
21.640 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
21.641 * [backup-simplify]: Simplify (+ 0 0) into 0
21.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.642 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
21.646 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
21.647 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.647 * [taylor]: Taking taylor expansion of 0 in kx
21.647 * [backup-simplify]: Simplify 0 into 0
21.647 * [backup-simplify]: Simplify 0 into 0
21.648 * [backup-simplify]: Simplify 0 into 0
21.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.649 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.650 * [backup-simplify]: Simplify (+ 0 0) into 0
21.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
21.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.651 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.651 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.652 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.652 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.652 * [backup-simplify]: Simplify (+ 0 0) into 0
21.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.653 * [backup-simplify]: Simplify (+ 0 0) into 0
21.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.655 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
21.657 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
21.659 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.659 * [backup-simplify]: Simplify 0 into 0
21.659 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
21.660 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.660 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.661 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.662 * [backup-simplify]: Simplify (+ 0 0) into 0
21.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.663 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.663 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.666 * [backup-simplify]: Simplify (+ 0 0) into 0
21.667 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
21.667 * [backup-simplify]: Simplify (+ 0 0) into 0
21.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.670 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.677 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 6) into 0
21.679 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))))) into 0
21.681 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.681 * [taylor]: Taking taylor expansion of 0 in kx
21.682 * [backup-simplify]: Simplify 0 into 0
21.682 * [backup-simplify]: Simplify 0 into 0
21.682 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
21.682 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
21.683 * [backup-simplify]: Simplify (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) into (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3)
21.683 * [approximate]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in (ky kx) around 0
21.683 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in kx
21.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in kx
21.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in kx
21.683 * [taylor]: Taking taylor expansion of 1/3 in kx
21.683 * [backup-simplify]: Simplify 1/3 into 1/3
21.683 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in kx
21.683 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
21.683 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.683 * [taylor]: Taking taylor expansion of ky in kx
21.683 * [backup-simplify]: Simplify ky into ky
21.683 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.683 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.683 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
21.683 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.683 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
21.683 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
21.683 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.683 * [taylor]: Taking taylor expansion of ky in kx
21.683 * [backup-simplify]: Simplify ky into ky
21.683 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.683 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.683 * [taylor]: Taking taylor expansion of (sin ky) in kx
21.683 * [taylor]: Taking taylor expansion of ky in kx
21.683 * [backup-simplify]: Simplify ky into ky
21.683 * [backup-simplify]: Simplify (sin ky) into (sin ky)
21.684 * [backup-simplify]: Simplify (cos ky) into (cos ky)
21.684 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
21.684 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.684 * [taylor]: Taking taylor expansion of kx in kx
21.684 * [backup-simplify]: Simplify 0 into 0
21.684 * [backup-simplify]: Simplify 1 into 1
21.684 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.684 * [taylor]: Taking taylor expansion of kx in kx
21.684 * [backup-simplify]: Simplify 0 into 0
21.684 * [backup-simplify]: Simplify 1 into 1
21.684 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.684 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.684 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.684 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.684 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.684 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.684 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
21.684 * [backup-simplify]: Simplify (* 0 0) into 0
21.684 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
21.685 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
21.685 * [backup-simplify]: Simplify (+ 0) into 0
21.685 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.686 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.686 * [backup-simplify]: Simplify (+ 0 0) into 0
21.686 * [backup-simplify]: Simplify (+ 0) into 0
21.687 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.687 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.688 * [backup-simplify]: Simplify (+ 0 0) into 0
21.688 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
21.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.689 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.689 * [backup-simplify]: Simplify (+ 0 0) into 0
21.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
21.689 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
21.689 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
21.690 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
21.690 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
21.690 * [backup-simplify]: Simplify (log 1) into 0
21.690 * [backup-simplify]: Simplify (* 1/3 0) into 0
21.690 * [backup-simplify]: Simplify (+ 0) into 0
21.691 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
21.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.691 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
21.692 * [backup-simplify]: Simplify (+ 0 0) into 0
21.692 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ 0 (sin ky))))) into 0
21.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
21.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.694 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.695 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.695 * [backup-simplify]: Simplify (+ 0 0) into 0
21.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.696 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.697 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.697 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.697 * [backup-simplify]: Simplify (+ 0 0) into 0
21.698 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.698 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
21.699 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.699 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
21.699 * [backup-simplify]: Simplify (+ 0 0) into 0
21.700 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
21.700 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.701 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
21.701 * [backup-simplify]: Simplify (+ 0 1) into 1
21.702 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
21.702 * [backup-simplify]: Simplify (- (/ 0 (sin ky)) (+ (* 1 (/ (/ 1/2 (sin ky)) (sin ky))) (* 0 (/ 0 (sin ky))))) into (- (* 1/2 (/ 1 (pow (sin ky) 2))))
21.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow (sin ky) 2))))) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow (sin ky) 2))
21.704 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/6 (/ 1 (pow (sin ky) 2))))
21.704 * [backup-simplify]: Simplify (exp 0) into 1
21.704 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
21.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
21.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
21.704 * [taylor]: Taking taylor expansion of 1/3 in ky
21.704 * [backup-simplify]: Simplify 1/3 into 1/3
21.704 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
21.704 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
21.704 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.704 * [taylor]: Taking taylor expansion of ky in ky
21.704 * [backup-simplify]: Simplify 0 into 0
21.704 * [backup-simplify]: Simplify 1 into 1
21.704 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
21.704 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.704 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
21.704 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
21.704 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.704 * [taylor]: Taking taylor expansion of ky in ky
21.704 * [backup-simplify]: Simplify 0 into 0
21.704 * [backup-simplify]: Simplify 1 into 1
21.704 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.704 * [taylor]: Taking taylor expansion of ky in ky
21.704 * [backup-simplify]: Simplify 0 into 0
21.704 * [backup-simplify]: Simplify 1 into 1
21.704 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
21.704 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.704 * [taylor]: Taking taylor expansion of kx in ky
21.704 * [backup-simplify]: Simplify kx into kx
21.704 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.704 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.704 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.704 * [taylor]: Taking taylor expansion of kx in ky
21.704 * [backup-simplify]: Simplify kx into kx
21.704 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.704 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.705 * [backup-simplify]: Simplify (* 0 0) into 0
21.705 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.705 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.705 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.705 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.705 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.705 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.705 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
21.705 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
21.705 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
21.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.706 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.707 * [backup-simplify]: Simplify (+ 0) into 0
21.707 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.708 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.708 * [backup-simplify]: Simplify (+ 0 0) into 0
21.709 * [backup-simplify]: Simplify (+ 0) into 0
21.709 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.710 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.711 * [backup-simplify]: Simplify (+ 0 0) into 0
21.711 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
21.711 * [backup-simplify]: Simplify (+ 0 0) into 0
21.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
21.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.712 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
21.713 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
21.713 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.713 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
21.713 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
21.714 * [taylor]: Taking taylor expansion of (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1/3) in ky
21.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx)))))) in ky
21.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin ky) (hypot (sin ky) (sin kx))))) in ky
21.714 * [taylor]: Taking taylor expansion of 1/3 in ky
21.714 * [backup-simplify]: Simplify 1/3 into 1/3
21.714 * [taylor]: Taking taylor expansion of (log (/ (sin ky) (hypot (sin ky) (sin kx)))) in ky
21.714 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
21.714 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.714 * [taylor]: Taking taylor expansion of ky in ky
21.714 * [backup-simplify]: Simplify 0 into 0
21.714 * [backup-simplify]: Simplify 1 into 1
21.714 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
21.714 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
21.714 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
21.714 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
21.714 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.714 * [taylor]: Taking taylor expansion of ky in ky
21.714 * [backup-simplify]: Simplify 0 into 0
21.714 * [backup-simplify]: Simplify 1 into 1
21.714 * [taylor]: Taking taylor expansion of (sin ky) in ky
21.714 * [taylor]: Taking taylor expansion of ky in ky
21.714 * [backup-simplify]: Simplify 0 into 0
21.714 * [backup-simplify]: Simplify 1 into 1
21.714 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
21.714 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.714 * [taylor]: Taking taylor expansion of kx in ky
21.714 * [backup-simplify]: Simplify kx into kx
21.714 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.714 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.714 * [taylor]: Taking taylor expansion of (sin kx) in ky
21.714 * [taylor]: Taking taylor expansion of kx in ky
21.715 * [backup-simplify]: Simplify kx into kx
21.715 * [backup-simplify]: Simplify (sin kx) into (sin kx)
21.715 * [backup-simplify]: Simplify (cos kx) into (cos kx)
21.715 * [backup-simplify]: Simplify (* 0 0) into 0
21.715 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.715 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.715 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.715 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
21.715 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
21.716 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
21.716 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
21.716 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
21.716 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
21.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.718 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
21.718 * [backup-simplify]: Simplify (+ 0) into 0
21.719 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.720 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.721 * [backup-simplify]: Simplify (+ 0 0) into 0
21.721 * [backup-simplify]: Simplify (+ 0) into 0
21.721 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
21.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.723 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
21.723 * [backup-simplify]: Simplify (+ 0 0) into 0
21.723 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
21.724 * [backup-simplify]: Simplify (+ 0 0) into 0
21.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
21.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.725 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
21.725 * [backup-simplify]: Simplify (log (/ 1 (sin kx))) into (log (/ 1 (sin kx)))
21.725 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.726 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) into (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))
21.726 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))
21.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
21.726 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
21.726 * [taylor]: Taking taylor expansion of 1/3 in kx
21.726 * [backup-simplify]: Simplify 1/3 into 1/3
21.726 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
21.726 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
21.726 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
21.726 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.726 * [taylor]: Taking taylor expansion of kx in kx
21.726 * [backup-simplify]: Simplify 0 into 0
21.726 * [backup-simplify]: Simplify 1 into 1
21.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.727 * [backup-simplify]: Simplify (/ 1 1) into 1
21.728 * [backup-simplify]: Simplify (log 1) into 0
21.728 * [taylor]: Taking taylor expansion of (log ky) in kx
21.728 * [taylor]: Taking taylor expansion of ky in kx
21.728 * [backup-simplify]: Simplify ky into ky
21.728 * [backup-simplify]: Simplify (log ky) into (log ky)
21.729 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
21.729 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
21.729 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
21.729 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.729 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.730 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.730 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
21.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (sin kx)) 1)))) 1) into 0
21.732 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.733 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky)))) into 0
21.734 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.734 * [taylor]: Taking taylor expansion of 0 in kx
21.734 * [backup-simplify]: Simplify 0 into 0
21.734 * [backup-simplify]: Simplify 0 into 0
21.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
21.738 * [backup-simplify]: Simplify (+ 0 0) into 0
21.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
21.739 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.739 * [backup-simplify]: Simplify 0 into 0
21.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.742 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
21.744 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.745 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
21.746 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.747 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
21.747 * [backup-simplify]: Simplify (+ 0 0) into 0
21.748 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.749 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
21.750 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.750 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
21.751 * [backup-simplify]: Simplify (+ 0 0) into 0
21.751 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
21.752 * [backup-simplify]: Simplify (+ 1 0) into 1
21.753 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
21.753 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
21.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) 1)) (pow (/ 1 (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
21.756 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ 1 (sin kx)))) into (+ (log (/ 1 (sin kx))) (log ky))
21.757 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
21.759 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18)) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))))
21.759 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))))) in kx
21.759 * [taylor]: Taking taylor expansion of -1 in kx
21.759 * [backup-simplify]: Simplify -1 into -1
21.759 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))))) in kx
21.759 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
21.759 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
21.759 * [taylor]: Taking taylor expansion of 1/6 in kx
21.759 * [backup-simplify]: Simplify 1/6 into 1/6
21.760 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
21.760 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
21.760 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.760 * [taylor]: Taking taylor expansion of kx in kx
21.760 * [backup-simplify]: Simplify 0 into 0
21.760 * [backup-simplify]: Simplify 1 into 1
21.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.761 * [backup-simplify]: Simplify (* 1 1) into 1
21.762 * [backup-simplify]: Simplify (/ 1 1) into 1
21.762 * [taylor]: Taking taylor expansion of 1/18 in kx
21.762 * [backup-simplify]: Simplify 1/18 into 1/18
21.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (sin kx))) (log ky)))) in kx
21.762 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (sin kx))) (log ky))) in kx
21.762 * [taylor]: Taking taylor expansion of 1/3 in kx
21.762 * [backup-simplify]: Simplify 1/3 into 1/3
21.762 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sin kx))) (log ky)) in kx
21.762 * [taylor]: Taking taylor expansion of (log (/ 1 (sin kx))) in kx
21.762 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
21.762 * [taylor]: Taking taylor expansion of (sin kx) in kx
21.762 * [taylor]: Taking taylor expansion of kx in kx
21.762 * [backup-simplify]: Simplify 0 into 0
21.762 * [backup-simplify]: Simplify 1 into 1
21.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
21.763 * [backup-simplify]: Simplify (/ 1 1) into 1
21.764 * [backup-simplify]: Simplify (log 1) into 0
21.764 * [taylor]: Taking taylor expansion of (log ky) in kx
21.764 * [taylor]: Taking taylor expansion of ky in kx
21.764 * [backup-simplify]: Simplify ky into ky
21.764 * [backup-simplify]: Simplify (log ky) into (log ky)
21.765 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) 0) into (- (log kx))
21.765 * [backup-simplify]: Simplify (+ (- (log kx)) (log ky)) into (- (log ky) (log kx))
21.765 * [backup-simplify]: Simplify (* 1/3 (- (log ky) (log kx))) into (* 1/3 (- (log ky) (log kx)))
21.765 * [backup-simplify]: Simplify (exp (* 1/3 (- (log ky) (log kx)))) into (exp (* 1/3 (- (log ky) (log kx))))
21.766 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
21.766 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
21.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
21.771 * [backup-simplify]: Simplify (+ 0 0) into 0
21.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log ky) (log kx)))) into 0
21.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
21.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
21.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
21.782 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.783 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
21.785 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.786 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
21.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
21.788 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
21.789 * [backup-simplify]: Simplify (+ 0 0) into 0
21.790 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
21.791 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.793 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
21.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
21.795 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
21.796 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
21.797 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (log ky) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))
21.797 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (log ky) (log kx)))))) into 0
21.797 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))
21.798 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (log ky) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
21.799 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx))))))
21.799 * [backup-simplify]: Simplify 0 into 0
21.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
21.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
21.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/6) 1)) (pow 1 1)))) 2) into 1/6
21.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
21.809 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
21.810 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (log ky) (log kx))))) into 1/18
21.812 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log ky) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.812 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) into (* 1/18 (exp (* 1/3 (- (log ky) (log kx)))))
21.813 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (log ky) (log kx))))) (pow (* kx 1) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (log ky) (log kx)))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (log ky) (log kx)))))) into (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
21.813 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
21.814 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx) around 0
21.814 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
21.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
21.814 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
21.814 * [taylor]: Taking taylor expansion of 1/3 in kx
21.814 * [backup-simplify]: Simplify 1/3 into 1/3
21.814 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
21.814 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
21.814 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.814 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.814 * [taylor]: Taking taylor expansion of ky in kx
21.814 * [backup-simplify]: Simplify ky into ky
21.814 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.814 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.814 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.814 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
21.814 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.814 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
21.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
21.814 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.814 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.814 * [taylor]: Taking taylor expansion of ky in kx
21.814 * [backup-simplify]: Simplify ky into ky
21.815 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.815 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.815 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.815 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.815 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.815 * [taylor]: Taking taylor expansion of ky in kx
21.815 * [backup-simplify]: Simplify ky into ky
21.815 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.815 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.815 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.815 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
21.815 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.815 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.815 * [taylor]: Taking taylor expansion of kx in kx
21.815 * [backup-simplify]: Simplify 0 into 0
21.815 * [backup-simplify]: Simplify 1 into 1
21.816 * [backup-simplify]: Simplify (/ 1 1) into 1
21.816 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.816 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.816 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.816 * [taylor]: Taking taylor expansion of kx in kx
21.816 * [backup-simplify]: Simplify 0 into 0
21.816 * [backup-simplify]: Simplify 1 into 1
21.816 * [backup-simplify]: Simplify (/ 1 1) into 1
21.816 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.817 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.817 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.817 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.817 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.817 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.817 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.817 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.817 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.818 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.818 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.819 * [backup-simplify]: Simplify (+ 0) into 0
21.819 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.820 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.821 * [backup-simplify]: Simplify (+ 0 0) into 0
21.821 * [backup-simplify]: Simplify (+ 0) into 0
21.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.824 * [backup-simplify]: Simplify (+ 0 0) into 0
21.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.825 * [backup-simplify]: Simplify (+ 0 0) into 0
21.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.825 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.825 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.826 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.826 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.827 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.827 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.828 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.828 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
21.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
21.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
21.828 * [taylor]: Taking taylor expansion of 1/3 in ky
21.828 * [backup-simplify]: Simplify 1/3 into 1/3
21.828 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
21.828 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
21.828 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.828 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.828 * [taylor]: Taking taylor expansion of ky in ky
21.828 * [backup-simplify]: Simplify 0 into 0
21.828 * [backup-simplify]: Simplify 1 into 1
21.829 * [backup-simplify]: Simplify (/ 1 1) into 1
21.829 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.829 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
21.829 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.829 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
21.829 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
21.829 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.829 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.829 * [taylor]: Taking taylor expansion of ky in ky
21.829 * [backup-simplify]: Simplify 0 into 0
21.829 * [backup-simplify]: Simplify 1 into 1
21.832 * [backup-simplify]: Simplify (/ 1 1) into 1
21.832 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.832 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.832 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.832 * [taylor]: Taking taylor expansion of ky in ky
21.832 * [backup-simplify]: Simplify 0 into 0
21.832 * [backup-simplify]: Simplify 1 into 1
21.833 * [backup-simplify]: Simplify (/ 1 1) into 1
21.833 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.833 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
21.833 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.833 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.833 * [taylor]: Taking taylor expansion of kx in ky
21.833 * [backup-simplify]: Simplify kx into kx
21.833 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.833 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.833 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.833 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.833 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.833 * [taylor]: Taking taylor expansion of kx in ky
21.833 * [backup-simplify]: Simplify kx into kx
21.833 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.833 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.833 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.834 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.834 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.834 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.834 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.834 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.834 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.834 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.834 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.835 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.835 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.836 * [backup-simplify]: Simplify (+ 0) into 0
21.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.838 * [backup-simplify]: Simplify (+ 0 0) into 0
21.839 * [backup-simplify]: Simplify (+ 0) into 0
21.839 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.841 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.841 * [backup-simplify]: Simplify (+ 0 0) into 0
21.841 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.842 * [backup-simplify]: Simplify (+ 0 0) into 0
21.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.843 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.843 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.844 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.844 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.844 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
21.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
21.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
21.844 * [taylor]: Taking taylor expansion of 1/3 in ky
21.844 * [backup-simplify]: Simplify 1/3 into 1/3
21.845 * [taylor]: Taking taylor expansion of (log (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
21.845 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
21.845 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.845 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.845 * [taylor]: Taking taylor expansion of ky in ky
21.845 * [backup-simplify]: Simplify 0 into 0
21.845 * [backup-simplify]: Simplify 1 into 1
21.845 * [backup-simplify]: Simplify (/ 1 1) into 1
21.845 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.845 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
21.845 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
21.846 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
21.846 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
21.846 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.846 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.846 * [taylor]: Taking taylor expansion of ky in ky
21.846 * [backup-simplify]: Simplify 0 into 0
21.846 * [backup-simplify]: Simplify 1 into 1
21.846 * [backup-simplify]: Simplify (/ 1 1) into 1
21.846 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.846 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
21.846 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
21.846 * [taylor]: Taking taylor expansion of ky in ky
21.846 * [backup-simplify]: Simplify 0 into 0
21.846 * [backup-simplify]: Simplify 1 into 1
21.847 * [backup-simplify]: Simplify (/ 1 1) into 1
21.847 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.847 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
21.847 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.847 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.847 * [taylor]: Taking taylor expansion of kx in ky
21.847 * [backup-simplify]: Simplify kx into kx
21.847 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.847 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.847 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.847 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
21.847 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
21.847 * [taylor]: Taking taylor expansion of kx in ky
21.847 * [backup-simplify]: Simplify kx into kx
21.847 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
21.847 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.847 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
21.848 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.848 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.848 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.848 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.848 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
21.848 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
21.848 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
21.848 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.848 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.848 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.849 * [backup-simplify]: Simplify (+ 0) into 0
21.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.850 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.850 * [backup-simplify]: Simplify (+ 0 0) into 0
21.850 * [backup-simplify]: Simplify (+ 0) into 0
21.851 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
21.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
21.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.852 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
21.852 * [backup-simplify]: Simplify (+ 0 0) into 0
21.852 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.852 * [backup-simplify]: Simplify (+ 0 0) into 0
21.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.853 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.853 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.853 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.854 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.854 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) in kx
21.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) in kx
21.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) in kx
21.854 * [taylor]: Taking taylor expansion of 1/3 in kx
21.854 * [backup-simplify]: Simplify 1/3 into 1/3
21.854 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
21.854 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
21.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
21.854 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
21.854 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
21.854 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
21.854 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
21.854 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
21.854 * [taylor]: Taking taylor expansion of kx in kx
21.854 * [backup-simplify]: Simplify 0 into 0
21.854 * [backup-simplify]: Simplify 1 into 1
21.854 * [backup-simplify]: Simplify (/ 1 1) into 1
21.854 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
21.854 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
21.854 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.854 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.854 * [taylor]: Taking taylor expansion of ky in kx
21.854 * [backup-simplify]: Simplify ky into ky
21.854 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.854 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.855 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.855 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.855 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.855 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.855 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
21.855 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
21.855 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
21.855 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
21.856 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
21.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
21.856 * [backup-simplify]: Simplify (+ 0) into 0
21.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.857 * [backup-simplify]: Simplify (+ 0 0) into 0
21.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
21.858 * [backup-simplify]: Simplify (+ 0 0) into 0
21.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.858 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
21.858 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
21.858 * [taylor]: Taking taylor expansion of ky in kx
21.859 * [backup-simplify]: Simplify ky into ky
21.859 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
21.859 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
21.859 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
21.859 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
21.859 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
21.859 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
21.859 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
21.859 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
21.860 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))
21.860 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.860 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1/3)
21.861 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
21.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
21.863 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.863 * [taylor]: Taking taylor expansion of 0 in kx
21.863 * [backup-simplify]: Simplify 0 into 0
21.863 * [backup-simplify]: Simplify 0 into 0
21.864 * [backup-simplify]: Simplify (+ 0) into 0
21.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
21.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
21.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.865 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
21.865 * [backup-simplify]: Simplify (+ 0 0) into 0
21.865 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
21.866 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 1) into 0
21.867 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
21.868 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.868 * [backup-simplify]: Simplify 0 into 0
21.868 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.870 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.870 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.870 * [backup-simplify]: Simplify (+ 0 0) into 0
21.871 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.872 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.872 * [backup-simplify]: Simplify (+ 0 0) into 0
21.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
21.873 * [backup-simplify]: Simplify (+ 0 0) into 0
21.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.874 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
21.878 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
21.880 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.880 * [taylor]: Taking taylor expansion of 0 in kx
21.880 * [backup-simplify]: Simplify 0 into 0
21.880 * [backup-simplify]: Simplify 0 into 0
21.880 * [backup-simplify]: Simplify 0 into 0
21.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.883 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.884 * [backup-simplify]: Simplify (+ 0 0) into 0
21.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
21.885 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.886 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.887 * [backup-simplify]: Simplify (+ 0 0) into 0
21.887 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.887 * [backup-simplify]: Simplify (+ 0 0) into 0
21.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
21.889 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
21.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 2) into 0
21.892 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))))) into 0
21.893 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.893 * [backup-simplify]: Simplify 0 into 0
21.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
21.894 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.897 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.897 * [backup-simplify]: Simplify (+ 0 0) into 0
21.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.898 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.900 * [backup-simplify]: Simplify (+ 0 0) into 0
21.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
21.901 * [backup-simplify]: Simplify (+ 0 0) into 0
21.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
21.902 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
21.905 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) 1)))) 6) into 0
21.906 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))))) into 0
21.908 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
21.908 * [taylor]: Taking taylor expansion of 0 in kx
21.908 * [backup-simplify]: Simplify 0 into 0
21.908 * [backup-simplify]: Simplify 0 into 0
21.908 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky)))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
21.908 * [backup-simplify]: Simplify (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
21.908 * [approximate]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx) around 0
21.908 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
21.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
21.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
21.908 * [taylor]: Taking taylor expansion of 1/3 in kx
21.908 * [backup-simplify]: Simplify 1/3 into 1/3
21.908 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
21.908 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
21.908 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.908 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.908 * [taylor]: Taking taylor expansion of -1 in kx
21.908 * [backup-simplify]: Simplify -1 into -1
21.908 * [taylor]: Taking taylor expansion of ky in kx
21.908 * [backup-simplify]: Simplify ky into ky
21.908 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.909 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.909 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.909 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
21.909 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.909 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
21.909 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
21.909 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.909 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.909 * [taylor]: Taking taylor expansion of -1 in kx
21.909 * [backup-simplify]: Simplify -1 into -1
21.909 * [taylor]: Taking taylor expansion of ky in kx
21.909 * [backup-simplify]: Simplify ky into ky
21.909 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.909 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.909 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.909 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.909 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.909 * [taylor]: Taking taylor expansion of -1 in kx
21.909 * [backup-simplify]: Simplify -1 into -1
21.909 * [taylor]: Taking taylor expansion of ky in kx
21.909 * [backup-simplify]: Simplify ky into ky
21.909 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.909 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.909 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.909 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
21.909 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.909 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.909 * [taylor]: Taking taylor expansion of -1 in kx
21.909 * [backup-simplify]: Simplify -1 into -1
21.909 * [taylor]: Taking taylor expansion of kx in kx
21.909 * [backup-simplify]: Simplify 0 into 0
21.909 * [backup-simplify]: Simplify 1 into 1
21.910 * [backup-simplify]: Simplify (/ -1 1) into -1
21.910 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.910 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.910 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.910 * [taylor]: Taking taylor expansion of -1 in kx
21.910 * [backup-simplify]: Simplify -1 into -1
21.910 * [taylor]: Taking taylor expansion of kx in kx
21.910 * [backup-simplify]: Simplify 0 into 0
21.910 * [backup-simplify]: Simplify 1 into 1
21.910 * [backup-simplify]: Simplify (/ -1 1) into -1
21.910 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.910 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.910 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.910 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.910 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.910 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.911 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.911 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.911 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.911 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.911 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.912 * [backup-simplify]: Simplify (+ 0) into 0
21.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.912 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.914 * [backup-simplify]: Simplify (+ 0 0) into 0
21.914 * [backup-simplify]: Simplify (+ 0) into 0
21.915 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.915 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.916 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.916 * [backup-simplify]: Simplify (+ 0 0) into 0
21.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.917 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.917 * [backup-simplify]: Simplify (+ 0 0) into 0
21.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.917 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.917 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.918 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.918 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.919 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.919 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.920 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.920 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
21.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
21.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
21.920 * [taylor]: Taking taylor expansion of 1/3 in ky
21.920 * [backup-simplify]: Simplify 1/3 into 1/3
21.920 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
21.920 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
21.920 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.920 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.920 * [taylor]: Taking taylor expansion of -1 in ky
21.920 * [backup-simplify]: Simplify -1 into -1
21.920 * [taylor]: Taking taylor expansion of ky in ky
21.920 * [backup-simplify]: Simplify 0 into 0
21.920 * [backup-simplify]: Simplify 1 into 1
21.921 * [backup-simplify]: Simplify (/ -1 1) into -1
21.921 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.921 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
21.921 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.921 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
21.921 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
21.921 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.921 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.921 * [taylor]: Taking taylor expansion of -1 in ky
21.921 * [backup-simplify]: Simplify -1 into -1
21.922 * [taylor]: Taking taylor expansion of ky in ky
21.922 * [backup-simplify]: Simplify 0 into 0
21.922 * [backup-simplify]: Simplify 1 into 1
21.922 * [backup-simplify]: Simplify (/ -1 1) into -1
21.922 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.922 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.922 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.922 * [taylor]: Taking taylor expansion of -1 in ky
21.923 * [backup-simplify]: Simplify -1 into -1
21.923 * [taylor]: Taking taylor expansion of ky in ky
21.923 * [backup-simplify]: Simplify 0 into 0
21.923 * [backup-simplify]: Simplify 1 into 1
21.923 * [backup-simplify]: Simplify (/ -1 1) into -1
21.923 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.923 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
21.923 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.923 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.923 * [taylor]: Taking taylor expansion of -1 in ky
21.923 * [backup-simplify]: Simplify -1 into -1
21.923 * [taylor]: Taking taylor expansion of kx in ky
21.924 * [backup-simplify]: Simplify kx into kx
21.924 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.924 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.924 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.924 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.924 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.924 * [taylor]: Taking taylor expansion of -1 in ky
21.924 * [backup-simplify]: Simplify -1 into -1
21.924 * [taylor]: Taking taylor expansion of kx in ky
21.924 * [backup-simplify]: Simplify kx into kx
21.924 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.924 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.924 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.924 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.924 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.925 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.925 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.925 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.925 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.925 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.925 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.926 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.926 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.926 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.927 * [backup-simplify]: Simplify (+ 0) into 0
21.927 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.927 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.929 * [backup-simplify]: Simplify (+ 0 0) into 0
21.930 * [backup-simplify]: Simplify (+ 0) into 0
21.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.930 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.932 * [backup-simplify]: Simplify (+ 0 0) into 0
21.932 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.933 * [backup-simplify]: Simplify (+ 0 0) into 0
21.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.934 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.934 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.935 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.935 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.935 * [taylor]: Taking taylor expansion of (pow (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
21.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
21.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
21.935 * [taylor]: Taking taylor expansion of 1/3 in ky
21.936 * [backup-simplify]: Simplify 1/3 into 1/3
21.936 * [taylor]: Taking taylor expansion of (log (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
21.936 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
21.936 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.936 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.936 * [taylor]: Taking taylor expansion of -1 in ky
21.936 * [backup-simplify]: Simplify -1 into -1
21.936 * [taylor]: Taking taylor expansion of ky in ky
21.936 * [backup-simplify]: Simplify 0 into 0
21.936 * [backup-simplify]: Simplify 1 into 1
21.936 * [backup-simplify]: Simplify (/ -1 1) into -1
21.936 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.936 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
21.937 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
21.937 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
21.937 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
21.937 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.937 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.937 * [taylor]: Taking taylor expansion of -1 in ky
21.937 * [backup-simplify]: Simplify -1 into -1
21.937 * [taylor]: Taking taylor expansion of ky in ky
21.937 * [backup-simplify]: Simplify 0 into 0
21.937 * [backup-simplify]: Simplify 1 into 1
21.937 * [backup-simplify]: Simplify (/ -1 1) into -1
21.937 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.937 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
21.937 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
21.938 * [taylor]: Taking taylor expansion of -1 in ky
21.938 * [backup-simplify]: Simplify -1 into -1
21.938 * [taylor]: Taking taylor expansion of ky in ky
21.938 * [backup-simplify]: Simplify 0 into 0
21.938 * [backup-simplify]: Simplify 1 into 1
21.938 * [backup-simplify]: Simplify (/ -1 1) into -1
21.938 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.938 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
21.938 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.938 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.938 * [taylor]: Taking taylor expansion of -1 in ky
21.938 * [backup-simplify]: Simplify -1 into -1
21.938 * [taylor]: Taking taylor expansion of kx in ky
21.938 * [backup-simplify]: Simplify kx into kx
21.938 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.939 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.939 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.939 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
21.939 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
21.939 * [taylor]: Taking taylor expansion of -1 in ky
21.939 * [backup-simplify]: Simplify -1 into -1
21.939 * [taylor]: Taking taylor expansion of kx in ky
21.939 * [backup-simplify]: Simplify kx into kx
21.939 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
21.939 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.939 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
21.939 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.940 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.940 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.940 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.940 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
21.940 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
21.940 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
21.940 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.941 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.941 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.942 * [backup-simplify]: Simplify (+ 0) into 0
21.942 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.942 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.943 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.944 * [backup-simplify]: Simplify (+ 0 0) into 0
21.944 * [backup-simplify]: Simplify (+ 0) into 0
21.944 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
21.944 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
21.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.945 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
21.945 * [backup-simplify]: Simplify (+ 0 0) into 0
21.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.946 * [backup-simplify]: Simplify (+ 0 0) into 0
21.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.946 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.946 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.947 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.947 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.947 * [taylor]: Taking taylor expansion of (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) in kx
21.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) in kx
21.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) in kx
21.947 * [taylor]: Taking taylor expansion of 1/3 in kx
21.947 * [backup-simplify]: Simplify 1/3 into 1/3
21.947 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
21.947 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
21.947 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
21.947 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
21.947 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
21.947 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
21.947 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
21.947 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
21.947 * [taylor]: Taking taylor expansion of -1 in kx
21.947 * [backup-simplify]: Simplify -1 into -1
21.947 * [taylor]: Taking taylor expansion of kx in kx
21.947 * [backup-simplify]: Simplify 0 into 0
21.947 * [backup-simplify]: Simplify 1 into 1
21.948 * [backup-simplify]: Simplify (/ -1 1) into -1
21.948 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
21.948 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
21.948 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.948 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.948 * [taylor]: Taking taylor expansion of -1 in kx
21.948 * [backup-simplify]: Simplify -1 into -1
21.948 * [taylor]: Taking taylor expansion of ky in kx
21.948 * [backup-simplify]: Simplify ky into ky
21.948 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.948 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.948 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.948 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.948 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.948 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.948 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
21.949 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
21.949 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
21.949 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
21.949 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
21.949 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
21.950 * [backup-simplify]: Simplify (+ 0) into 0
21.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.950 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.951 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.951 * [backup-simplify]: Simplify (+ 0 0) into 0
21.951 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
21.951 * [backup-simplify]: Simplify (+ 0 0) into 0
21.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.952 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
21.952 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
21.952 * [taylor]: Taking taylor expansion of -1 in kx
21.952 * [backup-simplify]: Simplify -1 into -1
21.952 * [taylor]: Taking taylor expansion of ky in kx
21.952 * [backup-simplify]: Simplify ky into ky
21.952 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
21.952 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
21.952 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
21.952 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
21.952 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
21.953 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
21.953 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
21.953 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
21.953 * [backup-simplify]: Simplify (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))
21.954 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.954 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1/3)
21.955 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
21.956 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
21.958 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.958 * [taylor]: Taking taylor expansion of 0 in kx
21.958 * [backup-simplify]: Simplify 0 into 0
21.958 * [backup-simplify]: Simplify 0 into 0
21.959 * [backup-simplify]: Simplify (+ 0) into 0
21.959 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
21.959 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
21.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
21.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
21.960 * [backup-simplify]: Simplify (+ 0 0) into 0
21.961 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
21.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 1) into 0
21.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
21.963 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 1) 1)))) into 0
21.963 * [backup-simplify]: Simplify 0 into 0
21.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.964 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.965 * [backup-simplify]: Simplify (+ 0 0) into 0
21.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
21.967 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
21.968 * [backup-simplify]: Simplify (+ 0 0) into 0
21.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
21.968 * [backup-simplify]: Simplify (+ 0 0) into 0
21.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
21.970 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
21.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
21.973 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
21.975 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.975 * [taylor]: Taking taylor expansion of 0 in kx
21.975 * [backup-simplify]: Simplify 0 into 0
21.975 * [backup-simplify]: Simplify 0 into 0
21.975 * [backup-simplify]: Simplify 0 into 0
21.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.977 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.978 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.979 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.979 * [backup-simplify]: Simplify (+ 0 0) into 0
21.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
21.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
21.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
21.982 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
21.982 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
21.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
21.983 * [backup-simplify]: Simplify (+ 0 0) into 0
21.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.984 * [backup-simplify]: Simplify (+ 0 0) into 0
21.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
21.988 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
21.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 2) into 0
21.991 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))))) into 0
21.992 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
21.992 * [backup-simplify]: Simplify 0 into 0
21.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
21.993 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.994 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.995 * [backup-simplify]: Simplify (+ 0 0) into 0
21.996 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
21.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
21.997 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
21.998 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
21.998 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
21.998 * [backup-simplify]: Simplify (+ 0 0) into 0
21.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
21.999 * [backup-simplify]: Simplify (+ 0 0) into 0
22.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
22.001 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
22.004 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) 1)))) 6) into 0
22.006 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))))) into 0
22.007 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.007 * [taylor]: Taking taylor expansion of 0 in kx
22.007 * [backup-simplify]: Simplify 0 into 0
22.007 * [backup-simplify]: Simplify 0 into 0
22.007 * [backup-simplify]: Simplify (pow (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
22.008 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2)
22.008 * [backup-simplify]: Simplify (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) into (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3)
22.008 * [approximate]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in (ky kx) around 0
22.008 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in kx
22.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))))) in kx
22.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)))) in kx
22.008 * [taylor]: Taking taylor expansion of 1/3 in kx
22.008 * [backup-simplify]: Simplify 1/3 into 1/3
22.008 * [taylor]: Taking taylor expansion of (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))) in kx
22.008 * [taylor]: Taking taylor expansion of (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) in kx
22.008 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
22.008 * [taylor]: Taking taylor expansion of (sin ky) in kx
22.008 * [taylor]: Taking taylor expansion of ky in kx
22.008 * [backup-simplify]: Simplify ky into ky
22.008 * [backup-simplify]: Simplify (sin ky) into (sin ky)
22.008 * [backup-simplify]: Simplify (cos ky) into (cos ky)
22.008 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
22.008 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
22.008 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
22.008 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in kx
22.008 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
22.008 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
22.008 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
22.008 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
22.009 * [taylor]: Taking taylor expansion of (sin ky) in kx
22.009 * [taylor]: Taking taylor expansion of ky in kx
22.009 * [backup-simplify]: Simplify ky into ky
22.009 * [backup-simplify]: Simplify (sin ky) into (sin ky)
22.009 * [backup-simplify]: Simplify (cos ky) into (cos ky)
22.009 * [taylor]: Taking taylor expansion of (sin ky) in kx
22.009 * [taylor]: Taking taylor expansion of ky in kx
22.009 * [backup-simplify]: Simplify ky into ky
22.009 * [backup-simplify]: Simplify (sin ky) into (sin ky)
22.009 * [backup-simplify]: Simplify (cos ky) into (cos ky)
22.009 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
22.009 * [taylor]: Taking taylor expansion of (sin kx) in kx
22.009 * [taylor]: Taking taylor expansion of kx in kx
22.009 * [backup-simplify]: Simplify 0 into 0
22.009 * [backup-simplify]: Simplify 1 into 1
22.009 * [taylor]: Taking taylor expansion of (sin kx) in kx
22.009 * [taylor]: Taking taylor expansion of kx in kx
22.009 * [backup-simplify]: Simplify 0 into 0
22.009 * [backup-simplify]: Simplify 1 into 1
22.009 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
22.009 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
22.009 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
22.009 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
22.009 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
22.009 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
22.009 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
22.010 * [backup-simplify]: Simplify (* 0 0) into 0
22.010 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
22.010 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
22.010 * [backup-simplify]: Simplify (+ 0) into 0
22.010 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
22.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.011 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
22.011 * [backup-simplify]: Simplify (+ 0 0) into 0
22.012 * [backup-simplify]: Simplify (+ 0) into 0
22.012 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
22.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.013 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
22.013 * [backup-simplify]: Simplify (+ 0 0) into 0
22.013 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
22.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.014 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
22.015 * [backup-simplify]: Simplify (+ 0 0) into 0
22.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
22.015 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
22.015 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
22.015 * [backup-simplify]: Simplify (/ (pow (sin ky) 2) (pow (sin ky) 2)) into 1
22.015 * [backup-simplify]: Simplify (log 1) into 0
22.016 * [backup-simplify]: Simplify (* 1/3 0) into 0
22.016 * [backup-simplify]: Simplify (+ 0) into 0
22.017 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
22.017 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.018 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
22.018 * [backup-simplify]: Simplify (+ 0 0) into 0
22.018 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
22.018 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
22.019 * [backup-simplify]: Simplify (- (/ 0 (pow (sin ky) 2)) (+ (* 1 (/ 0 (pow (sin ky) 2))))) into 0
22.020 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
22.021 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
22.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.022 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
22.023 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.023 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
22.024 * [backup-simplify]: Simplify (+ 0 0) into 0
22.024 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
22.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.025 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
22.026 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.027 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
22.027 * [backup-simplify]: Simplify (+ 0 0) into 0
22.028 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.029 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
22.029 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.030 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
22.030 * [backup-simplify]: Simplify (+ 0 0) into 0
22.031 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
22.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
22.033 * [backup-simplify]: Simplify (+ 0 1) into 1
22.034 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
22.035 * [backup-simplify]: Simplify (+ (* (sin ky) (/ 1/2 (sin ky))) (+ (* 0 0) (* (/ 1/2 (sin ky)) (sin ky)))) into 1
22.035 * [backup-simplify]: Simplify (- (/ 0 (pow (sin ky) 2)) (+ (* 1 (/ 1 (pow (sin ky) 2))) (* 0 (/ 0 (pow (sin ky) 2))))) into (- (/ 1 (pow (sin ky) 2)))
22.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow (sin ky) 2)))) 1)) (pow 1 1)))) 2) into (/ -1 (pow (sin ky) 2))
22.039 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (pow (sin ky) 2))) (+ (* 0 0) (* 0 0))) into (- (* 1/3 (/ 1 (pow (sin ky) 2))))
22.039 * [backup-simplify]: Simplify (exp 0) into 1
22.039 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in ky
22.039 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))))) in ky
22.039 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)))) in ky
22.040 * [taylor]: Taking taylor expansion of 1/3 in ky
22.040 * [backup-simplify]: Simplify 1/3 into 1/3
22.040 * [taylor]: Taking taylor expansion of (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))) in ky
22.040 * [taylor]: Taking taylor expansion of (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) in ky
22.040 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
22.040 * [taylor]: Taking taylor expansion of (sin ky) in ky
22.040 * [taylor]: Taking taylor expansion of ky in ky
22.040 * [backup-simplify]: Simplify 0 into 0
22.040 * [backup-simplify]: Simplify 1 into 1
22.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.041 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in ky
22.041 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
22.041 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
22.041 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
22.041 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
22.041 * [taylor]: Taking taylor expansion of (sin ky) in ky
22.041 * [taylor]: Taking taylor expansion of ky in ky
22.041 * [backup-simplify]: Simplify 0 into 0
22.041 * [backup-simplify]: Simplify 1 into 1
22.041 * [taylor]: Taking taylor expansion of (sin ky) in ky
22.041 * [taylor]: Taking taylor expansion of ky in ky
22.041 * [backup-simplify]: Simplify 0 into 0
22.041 * [backup-simplify]: Simplify 1 into 1
22.041 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
22.041 * [taylor]: Taking taylor expansion of (sin kx) in ky
22.041 * [taylor]: Taking taylor expansion of kx in ky
22.042 * [backup-simplify]: Simplify kx into kx
22.042 * [backup-simplify]: Simplify (sin kx) into (sin kx)
22.042 * [backup-simplify]: Simplify (cos kx) into (cos kx)
22.042 * [taylor]: Taking taylor expansion of (sin kx) in ky
22.042 * [taylor]: Taking taylor expansion of kx in ky
22.042 * [backup-simplify]: Simplify kx into kx
22.042 * [backup-simplify]: Simplify (sin kx) into (sin kx)
22.042 * [backup-simplify]: Simplify (cos kx) into (cos kx)
22.042 * [backup-simplify]: Simplify (* 0 0) into 0
22.042 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
22.043 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
22.043 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
22.043 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
22.043 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
22.043 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
22.043 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
22.043 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
22.043 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
22.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.046 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
22.046 * [backup-simplify]: Simplify (+ 0) into 0
22.046 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
22.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.048 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
22.048 * [backup-simplify]: Simplify (+ 0 0) into 0
22.049 * [backup-simplify]: Simplify (+ 0) into 0
22.049 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
22.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.050 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
22.051 * [backup-simplify]: Simplify (+ 0 0) into 0
22.051 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
22.052 * [backup-simplify]: Simplify (+ 0 0) into 0
22.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
22.052 * [backup-simplify]: Simplify (* 1 1) into 1
22.052 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
22.053 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
22.053 * [backup-simplify]: Simplify (log (/ 1 (pow (sin kx) 2))) into (log (/ 1 (pow (sin kx) 2)))
22.054 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
22.054 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) into (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))
22.054 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) into (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))
22.054 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in ky
22.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))))) in ky
22.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)))) in ky
22.054 * [taylor]: Taking taylor expansion of 1/3 in ky
22.054 * [backup-simplify]: Simplify 1/3 into 1/3
22.055 * [taylor]: Taking taylor expansion of (log (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2))) in ky
22.055 * [taylor]: Taking taylor expansion of (/ (pow (sin ky) 2) (pow (hypot (sin ky) (sin kx)) 2)) in ky
22.055 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
22.055 * [taylor]: Taking taylor expansion of (sin ky) in ky
22.055 * [taylor]: Taking taylor expansion of ky in ky
22.055 * [backup-simplify]: Simplify 0 into 0
22.055 * [backup-simplify]: Simplify 1 into 1
22.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.056 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in ky
22.056 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
22.056 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
22.056 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
22.056 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
22.056 * [taylor]: Taking taylor expansion of (sin ky) in ky
22.056 * [taylor]: Taking taylor expansion of ky in ky
22.056 * [backup-simplify]: Simplify 0 into 0
22.056 * [backup-simplify]: Simplify 1 into 1
22.056 * [taylor]: Taking taylor expansion of (sin ky) in ky
22.056 * [taylor]: Taking taylor expansion of ky in ky
22.056 * [backup-simplify]: Simplify 0 into 0
22.056 * [backup-simplify]: Simplify 1 into 1
22.056 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
22.056 * [taylor]: Taking taylor expansion of (sin kx) in ky
22.056 * [taylor]: Taking taylor expansion of kx in ky
22.056 * [backup-simplify]: Simplify kx into kx
22.056 * [backup-simplify]: Simplify (sin kx) into (sin kx)
22.056 * [backup-simplify]: Simplify (cos kx) into (cos kx)
22.056 * [taylor]: Taking taylor expansion of (sin kx) in ky
22.056 * [taylor]: Taking taylor expansion of kx in ky
22.057 * [backup-simplify]: Simplify kx into kx
22.057 * [backup-simplify]: Simplify (sin kx) into (sin kx)
22.057 * [backup-simplify]: Simplify (cos kx) into (cos kx)
22.057 * [backup-simplify]: Simplify (* 0 0) into 0
22.057 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
22.057 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
22.057 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
22.058 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
22.058 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
22.058 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
22.058 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
22.058 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
22.058 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
22.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
22.061 * [backup-simplify]: Simplify (+ 0) into 0
22.061 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
22.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.062 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
22.063 * [backup-simplify]: Simplify (+ 0 0) into 0
22.063 * [backup-simplify]: Simplify (+ 0) into 0
22.063 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
22.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.065 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
22.065 * [backup-simplify]: Simplify (+ 0 0) into 0
22.065 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
22.066 * [backup-simplify]: Simplify (+ 0 0) into 0
22.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
22.066 * [backup-simplify]: Simplify (* 1 1) into 1
22.066 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
22.066 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
22.067 * [backup-simplify]: Simplify (log (/ 1 (pow (sin kx) 2))) into (log (/ 1 (pow (sin kx) 2)))
22.067 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
22.068 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) into (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))
22.068 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) into (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))
22.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) in kx
22.068 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) in kx
22.068 * [taylor]: Taking taylor expansion of 1/3 in kx
22.068 * [backup-simplify]: Simplify 1/3 into 1/3
22.068 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))) in kx
22.068 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sin kx) 2))) in kx
22.068 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
22.068 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
22.068 * [taylor]: Taking taylor expansion of (sin kx) in kx
22.068 * [taylor]: Taking taylor expansion of kx in kx
22.068 * [backup-simplify]: Simplify 0 into 0
22.068 * [backup-simplify]: Simplify 1 into 1
22.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.069 * [backup-simplify]: Simplify (* 1 1) into 1
22.070 * [backup-simplify]: Simplify (/ 1 1) into 1
22.070 * [backup-simplify]: Simplify (log 1) into 0
22.070 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in kx
22.070 * [taylor]: Taking taylor expansion of 2 in kx
22.070 * [backup-simplify]: Simplify 2 into 2
22.070 * [taylor]: Taking taylor expansion of (log ky) in kx
22.070 * [taylor]: Taking taylor expansion of ky in kx
22.070 * [backup-simplify]: Simplify ky into ky
22.070 * [backup-simplify]: Simplify (log ky) into (log ky)
22.071 * [backup-simplify]: Simplify (+ (* (- 2) (log kx)) 0) into (- (* 2 (log kx)))
22.071 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
22.071 * [backup-simplify]: Simplify (+ (- (* 2 (log kx))) (* 2 (log ky))) into (- (* 2 (log ky)) (* 2 (log kx)))
22.071 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))) into (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))
22.072 * [backup-simplify]: Simplify (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) into (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))
22.072 * [backup-simplify]: Simplify (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) into (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))
22.073 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.074 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
22.074 * [backup-simplify]: Simplify (- (/ 0 (pow (sin kx) 2)) (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
22.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sin kx) 2)) 1)))) 1) into 0
22.076 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
22.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) into 0
22.078 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.078 * [taylor]: Taking taylor expansion of 0 in kx
22.078 * [backup-simplify]: Simplify 0 into 0
22.078 * [backup-simplify]: Simplify 0 into 0
22.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
22.083 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
22.083 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log ky))) into 0
22.084 * [backup-simplify]: Simplify (+ 0 0) into 0
22.084 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx))))) into 0
22.085 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.086 * [backup-simplify]: Simplify 0 into 0
22.087 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
22.088 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
22.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.091 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
22.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.092 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
22.093 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.093 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
22.095 * [backup-simplify]: Simplify (+ 0 0) into 0
22.096 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.096 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
22.097 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.097 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
22.097 * [backup-simplify]: Simplify (+ 0 0) into 0
22.097 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
22.098 * [backup-simplify]: Simplify (+ 1 0) into 1
22.098 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
22.099 * [backup-simplify]: Simplify (+ (* (sin kx) (/ 1/2 (sin kx))) (+ (* 0 0) (* (/ 1/2 (sin kx)) (sin kx)))) into 1
22.099 * [backup-simplify]: Simplify (- (/ -1/3 (pow (sin kx) 2)) (+ (* (/ 1 (pow (sin kx) 2)) (/ 1 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))))) into (- (+ (/ 1 (pow (sin kx) 4)) (* 1/3 (/ 1 (pow (sin kx) 2)))))
22.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sin kx) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (/ 1 (pow (sin kx) 4)) (* 1/3 (/ 1 (pow (sin kx) 2)))))) 1)) (pow (/ 1 (pow (sin kx) 2)) 1)))) 2) into (* -1/2 (+ (* 2 (/ 1 (pow (sin kx) 2))) 2/3))
22.101 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ 1 (pow (sin kx) 2)))) into (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))
22.101 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2 (/ 1 (pow (sin kx) 2))) 2/3))) (+ (* 0 0) (* 0 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))) into (- (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9))
22.102 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9)) 1) 1)))) into (* -1 (* (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))))
22.102 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))))) in kx
22.102 * [taylor]: Taking taylor expansion of -1 in kx
22.102 * [backup-simplify]: Simplify -1 into -1
22.102 * [taylor]: Taking taylor expansion of (* (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))))) in kx
22.102 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) in kx
22.102 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow (sin kx) 2))) in kx
22.102 * [taylor]: Taking taylor expansion of 1/3 in kx
22.102 * [backup-simplify]: Simplify 1/3 into 1/3
22.102 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
22.102 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
22.102 * [taylor]: Taking taylor expansion of (sin kx) in kx
22.102 * [taylor]: Taking taylor expansion of kx in kx
22.102 * [backup-simplify]: Simplify 0 into 0
22.102 * [backup-simplify]: Simplify 1 into 1
22.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.103 * [backup-simplify]: Simplify (* 1 1) into 1
22.103 * [backup-simplify]: Simplify (/ 1 1) into 1
22.103 * [taylor]: Taking taylor expansion of 1/9 in kx
22.103 * [backup-simplify]: Simplify 1/9 into 1/9
22.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))))) in kx
22.103 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky)))) in kx
22.104 * [taylor]: Taking taylor expansion of 1/3 in kx
22.104 * [backup-simplify]: Simplify 1/3 into 1/3
22.104 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (pow (sin kx) 2))) (* 2 (log ky))) in kx
22.104 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sin kx) 2))) in kx
22.104 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
22.104 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
22.104 * [taylor]: Taking taylor expansion of (sin kx) in kx
22.104 * [taylor]: Taking taylor expansion of kx in kx
22.104 * [backup-simplify]: Simplify 0 into 0
22.104 * [backup-simplify]: Simplify 1 into 1
22.104 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
22.104 * [backup-simplify]: Simplify (* 1 1) into 1
22.105 * [backup-simplify]: Simplify (/ 1 1) into 1
22.105 * [backup-simplify]: Simplify (log 1) into 0
22.105 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in kx
22.105 * [taylor]: Taking taylor expansion of 2 in kx
22.105 * [backup-simplify]: Simplify 2 into 2
22.105 * [taylor]: Taking taylor expansion of (log ky) in kx
22.105 * [taylor]: Taking taylor expansion of ky in kx
22.105 * [backup-simplify]: Simplify ky into ky
22.105 * [backup-simplify]: Simplify (log ky) into (log ky)
22.105 * [backup-simplify]: Simplify (+ (* (- 2) (log kx)) 0) into (- (* 2 (log kx)))
22.105 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
22.105 * [backup-simplify]: Simplify (+ (- (* 2 (log kx))) (* 2 (log ky))) into (- (* 2 (log ky)) (* 2 (log kx)))
22.105 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))) into (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))
22.106 * [backup-simplify]: Simplify (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) into (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))
22.106 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
22.106 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
22.107 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
22.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
22.110 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log ky))) into 0
22.110 * [backup-simplify]: Simplify (+ 0 0) into 0
22.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx))))) into 0
22.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
22.113 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
22.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
22.115 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 1/3
22.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
22.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log ky)))) into 0
22.117 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
22.117 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx)))))) into 1/9
22.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
22.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.121 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
22.121 * [backup-simplify]: Simplify (+ 0 0) into 0
22.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.124 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
22.125 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
22.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
22.127 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 1))) into 1/9
22.127 * [backup-simplify]: Simplify (+ 1/9 1/9) into 2/9
22.128 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) (+ (* 0 0) (* 2/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))))) into (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
22.129 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) into 0
22.129 * [backup-simplify]: Simplify (* 1/3 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) into (* 1/3 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
22.130 * [backup-simplify]: Simplify (+ (* -1 (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) (+ (* 0 0) (* 0 (* 1/3 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))))) into (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))))
22.131 * [backup-simplify]: Simplify (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) into (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))))
22.131 * [backup-simplify]: Simplify 0 into 0
22.132 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
22.133 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
22.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
22.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 1/3
22.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
22.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log ky)))) into 0
22.141 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
22.142 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (- (* 2 (log ky)) (* 2 (log kx)))))) into 1/9
22.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
22.144 * [backup-simplify]: Simplify (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) into (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))
22.145 * [backup-simplify]: Simplify (+ (* (* 1/9 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) (pow (* kx 1) 2)) (+ (* (- (* 7/27 (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) (pow (* 1 ky) 2)) (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))))) into (- (+ (* 1/9 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow kx 2))) (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) (* 7/27 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow ky 2))))
22.146 * [backup-simplify]: Simplify (* (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) (cbrt (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3)
22.146 * [approximate]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in (ky kx) around 0
22.146 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in kx
22.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in kx
22.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in kx
22.146 * [taylor]: Taking taylor expansion of 1/3 in kx
22.146 * [backup-simplify]: Simplify 1/3 into 1/3
22.146 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in kx
22.146 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in kx
22.146 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
22.146 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
22.146 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
22.146 * [taylor]: Taking taylor expansion of ky in kx
22.146 * [backup-simplify]: Simplify ky into ky
22.146 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
22.147 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.147 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
22.147 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
22.147 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
22.147 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
22.147 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in kx
22.147 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
22.147 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
22.147 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
22.147 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
22.147 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
22.147 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
22.147 * [taylor]: Taking taylor expansion of ky in kx
22.147 * [backup-simplify]: Simplify ky into ky
22.147 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
22.148 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.148 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
22.148 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
22.148 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
22.148 * [taylor]: Taking taylor expansion of ky in kx
22.148 * [backup-simplify]: Simplify ky into ky
22.148 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
22.148 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.148 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
22.148 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
22.148 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
22.148 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
22.148 * [taylor]: Taking taylor expansion of kx in kx
22.148 * [backup-simplify]: Simplify 0 into 0
22.148 * [backup-simplify]: Simplify 1 into 1
22.149 * [backup-simplify]: Simplify (/ 1 1) into 1
22.149 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
22.149 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
22.149 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
22.149 * [taylor]: Taking taylor expansion of kx in kx
22.149 * [backup-simplify]: Simplify 0 into 0
22.149 * [backup-simplify]: Simplify 1 into 1
22.149 * [backup-simplify]: Simplify (/ 1 1) into 1
22.149 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
22.150 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
22.150 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
22.150 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
22.150 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
22.150 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
22.150 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
22.150 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.151 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
22.151 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
22.151 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
22.152 * [backup-simplify]: Simplify (+ 0) into 0
22.152 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
22.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
22.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
22.154 * [backup-simplify]: Simplify (+ 0 0) into 0
22.155 * [backup-simplify]: Simplify (+ 0) into 0
22.155 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
22.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
22.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.157 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
22.157 * [backup-simplify]: Simplify (+ 0 0) into 0
22.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
22.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
22.158 * [backup-simplify]: Simplify (+ 0 0) into 0
22.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
22.159 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.159 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
22.160 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
22.160 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
22.161 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
22.162 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
22.162 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in ky
22.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in ky
22.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in ky
22.162 * [taylor]: Taking taylor expansion of 1/3 in ky
22.162 * [backup-simplify]: Simplify 1/3 into 1/3
22.162 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in ky
22.162 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in ky
22.162 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
22.162 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
22.162 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
22.162 * [taylor]: Taking taylor expansion of ky in ky
22.162 * [backup-simplify]: Simplify 0 into 0
22.162 * [backup-simplify]: Simplify 1 into 1
22.163 * [backup-simplify]: Simplify (/ 1 1) into 1
22.163 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.163 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in ky
22.163 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
22.163 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
22.163 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
22.163 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
22.163 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
22.163 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
22.163 * [taylor]: Taking taylor expansion of ky in ky
22.163 * [backup-simplify]: Simplify 0 into 0
22.163 * [backup-simplify]: Simplify 1 into 1
22.163 * [backup-simplify]: Simplify (/ 1 1) into 1
22.164 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.164 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
22.164 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
22.164 * [taylor]: Taking taylor expansion of ky in ky
22.164 * [backup-simplify]: Simplify 0 into 0
22.164 * [backup-simplify]: Simplify 1 into 1
22.164 * [backup-simplify]: Simplify (/ 1 1) into 1
22.164 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.164 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
22.164 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
22.164 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
22.164 * [taylor]: Taking taylor expansion of kx in ky
22.164 * [backup-simplify]: Simplify kx into kx
22.164 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
22.164 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
22.164 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
22.164 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
22.164 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
22.164 * [taylor]: Taking taylor expansion of kx in ky
22.164 * [backup-simplify]: Simplify kx into kx
22.164 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
22.164 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
22.164 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
22.164 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.165 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
22.165 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
22.165 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
22.165 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
22.165 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
22.165 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
22.165 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
22.165 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
22.165 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
22.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
22.166 * [backup-simplify]: Simplify (+ 0) into 0
22.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
22.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
22.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
22.167 * [backup-simplify]: Simplify (+ 0 0) into 0
22.168 * [backup-simplify]: Simplify (+ 0) into 0
22.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
22.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
22.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
22.169 * [backup-simplify]: Simplify (+ 0 0) into 0
22.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
22.169 * [backup-simplify]: Simplify (+ 0 0) into 0
22.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
22.170 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.170 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
22.170 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
22.171 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
22.171 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
22.171 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
22.171 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in ky
22.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in ky
22.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in ky
22.171 * [taylor]: Taking taylor expansion of 1/3 in ky
22.172 * [backup-simplify]: Simplify 1/3 into 1/3
22.172 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in ky
22.172 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in ky
22.172 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
22.172 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
22.172 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
22.172 * [taylor]: Taking taylor expansion of ky in ky
22.172 * [backup-simplify]: Simplify 0 into 0
22.172 * [backup-simplify]: Simplify 1 into 1
22.172 * [backup-simplify]: Simplify (/ 1 1) into 1
22.172 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.172 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in ky
22.172 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
22.172 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
22.172 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
22.172 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
22.172 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
22.172 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
22.172 * [taylor]: Taking taylor expansion of ky in ky
22.172 * [backup-simplify]: Simplify 0 into 0
22.172 * [backup-simplify]: Simplify 1 into 1
22.173 * [backup-simplify]: Simplify (/ 1 1) into 1
22.173 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.173 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
22.173 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
22.173 * [taylor]: Taking taylor expansion of ky in ky
22.173 * [backup-simplify]: Simplify 0 into 0
22.173 * [backup-simplify]: Simplify 1 into 1
22.173 * [backup-simplify]: Simplify (/ 1 1) into 1
22.173 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.173 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
22.173 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
22.173 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
22.173 * [taylor]: Taking taylor expansion of kx in ky
22.173 * [backup-simplify]: Simplify kx into kx
22.173 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
22.173 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
22.173 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
22.173 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
22.173 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
22.173 * [taylor]: Taking taylor expansion of kx in ky
22.173 * [backup-simplify]: Simplify kx into kx
22.173 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
22.173 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
22.173 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
22.173 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.174 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
22.174 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
22.174 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
22.174 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
22.174 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
22.174 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
22.174 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
22.174 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
22.174 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
22.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
22.175 * [backup-simplify]: Simplify (+ 0) into 0
22.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
22.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
22.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
22.176 * [backup-simplify]: Simplify (+ 0 0) into 0
22.176 * [backup-simplify]: Simplify (+ 0) into 0
22.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
22.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
22.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
22.178 * [backup-simplify]: Simplify (+ 0 0) into 0
22.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
22.178 * [backup-simplify]: Simplify (+ 0 0) into 0
22.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
22.179 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.179 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
22.179 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
22.180 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
22.180 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
22.180 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
22.180 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) in kx
22.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in kx
22.180 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
22.180 * [taylor]: Taking taylor expansion of 1/3 in kx
22.180 * [backup-simplify]: Simplify 1/3 into 1/3
22.180 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
22.180 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
22.180 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
22.180 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
22.180 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
22.180 * [taylor]: Taking taylor expansion of ky in kx
22.180 * [backup-simplify]: Simplify ky into ky
22.180 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
22.181 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.181 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
22.181 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
22.181 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
22.181 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
22.181 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
22.181 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
22.181 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
22.181 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
22.181 * [taylor]: Taking taylor expansion of kx in kx
22.181 * [backup-simplify]: Simplify 0 into 0
22.181 * [backup-simplify]: Simplify 1 into 1
22.181 * [backup-simplify]: Simplify (/ 1 1) into 1
22.181 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
22.181 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
22.181 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
22.181 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
22.181 * [taylor]: Taking taylor expansion of ky in kx
22.181 * [backup-simplify]: Simplify ky into ky
22.181 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
22.181 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
22.181 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
22.181 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
22.182 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
22.182 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
22.182 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.182 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
22.182 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
22.182 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
22.182 * [backup-simplify]: Simplify (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
22.183 * [backup-simplify]: Simplify (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
22.183 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
22.183 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
22.184 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) into (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
22.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
22.184 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
22.185 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
22.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.187 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.187 * [taylor]: Taking taylor expansion of 0 in kx
22.187 * [backup-simplify]: Simplify 0 into 0
22.187 * [backup-simplify]: Simplify 0 into 0
22.188 * [backup-simplify]: Simplify (+ 0) into 0
22.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
22.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
22.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.190 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
22.190 * [backup-simplify]: Simplify (+ 0 0) into 0
22.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
22.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
22.191 * [backup-simplify]: Simplify (+ 0) into 0
22.191 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
22.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
22.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.193 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
22.193 * [backup-simplify]: Simplify (+ 0 0) into 0
22.193 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
22.194 * [backup-simplify]: Simplify (+ 0 0) into 0
22.195 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
22.197 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.199 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.199 * [backup-simplify]: Simplify 0 into 0
22.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
22.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
22.201 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
22.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.203 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.203 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
22.204 * [backup-simplify]: Simplify (+ 0 0) into 0
22.205 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.206 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
22.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.207 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.207 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
22.208 * [backup-simplify]: Simplify (+ 0 0) into 0
22.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
22.209 * [backup-simplify]: Simplify (+ 0 0) into 0
22.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
22.211 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.213 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
22.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
22.220 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.220 * [taylor]: Taking taylor expansion of 0 in kx
22.220 * [backup-simplify]: Simplify 0 into 0
22.220 * [backup-simplify]: Simplify 0 into 0
22.220 * [backup-simplify]: Simplify 0 into 0
22.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
22.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
22.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
22.223 * [backup-simplify]: Simplify (+ 0 0) into 0
22.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
22.225 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
22.225 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
22.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
22.227 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
22.228 * [backup-simplify]: Simplify (+ 0 0) into 0
22.228 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
22.228 * [backup-simplify]: Simplify (+ 0 0) into 0
22.229 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
22.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
22.235 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.235 * [backup-simplify]: Simplify 0 into 0
22.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
22.236 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
22.236 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.238 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.239 * [backup-simplify]: Simplify (+ 0 0) into 0
22.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.241 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.241 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.241 * [backup-simplify]: Simplify (+ 0 0) into 0
22.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
22.242 * [backup-simplify]: Simplify (+ 0 0) into 0
22.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
22.244 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
22.245 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
22.248 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 6) into 0
22.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
22.251 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ 1 ky)) 2) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.251 * [taylor]: Taking taylor expansion of 0 in kx
22.251 * [backup-simplify]: Simplify 0 into 0
22.251 * [backup-simplify]: Simplify 0 into 0
22.251 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ 1 (/ 1 ky))) 2) (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) 1/3) into (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
22.252 * [backup-simplify]: Simplify (* (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) (cbrt (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3)
22.252 * [approximate]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in (ky kx) around 0
22.252 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in kx
22.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in kx
22.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in kx
22.252 * [taylor]: Taking taylor expansion of 1/3 in kx
22.252 * [backup-simplify]: Simplify 1/3 into 1/3
22.252 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in kx
22.252 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in kx
22.252 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
22.252 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
22.252 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
22.252 * [taylor]: Taking taylor expansion of -1 in kx
22.252 * [backup-simplify]: Simplify -1 into -1
22.252 * [taylor]: Taking taylor expansion of ky in kx
22.252 * [backup-simplify]: Simplify ky into ky
22.252 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
22.252 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.252 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
22.252 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
22.252 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
22.252 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
22.252 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in kx
22.252 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
22.252 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
22.252 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
22.252 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
22.252 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
22.252 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
22.252 * [taylor]: Taking taylor expansion of -1 in kx
22.252 * [backup-simplify]: Simplify -1 into -1
22.252 * [taylor]: Taking taylor expansion of ky in kx
22.252 * [backup-simplify]: Simplify ky into ky
22.252 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
22.253 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.253 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
22.253 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
22.253 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
22.253 * [taylor]: Taking taylor expansion of -1 in kx
22.253 * [backup-simplify]: Simplify -1 into -1
22.253 * [taylor]: Taking taylor expansion of ky in kx
22.253 * [backup-simplify]: Simplify ky into ky
22.253 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
22.253 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.253 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
22.253 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
22.253 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
22.253 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
22.253 * [taylor]: Taking taylor expansion of -1 in kx
22.253 * [backup-simplify]: Simplify -1 into -1
22.253 * [taylor]: Taking taylor expansion of kx in kx
22.253 * [backup-simplify]: Simplify 0 into 0
22.253 * [backup-simplify]: Simplify 1 into 1
22.253 * [backup-simplify]: Simplify (/ -1 1) into -1
22.253 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
22.253 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
22.253 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
22.253 * [taylor]: Taking taylor expansion of -1 in kx
22.253 * [backup-simplify]: Simplify -1 into -1
22.254 * [taylor]: Taking taylor expansion of kx in kx
22.254 * [backup-simplify]: Simplify 0 into 0
22.254 * [backup-simplify]: Simplify 1 into 1
22.254 * [backup-simplify]: Simplify (/ -1 1) into -1
22.254 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
22.254 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
22.254 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
22.254 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
22.254 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
22.254 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
22.254 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
22.254 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.254 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
22.255 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
22.255 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
22.255 * [backup-simplify]: Simplify (+ 0) into 0
22.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
22.256 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
22.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
22.257 * [backup-simplify]: Simplify (+ 0 0) into 0
22.257 * [backup-simplify]: Simplify (+ 0) into 0
22.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
22.257 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
22.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
22.258 * [backup-simplify]: Simplify (+ 0 0) into 0
22.258 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
22.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
22.259 * [backup-simplify]: Simplify (+ 0 0) into 0
22.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
22.259 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.260 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
22.260 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
22.260 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
22.261 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
22.261 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
22.261 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in ky
22.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in ky
22.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in ky
22.261 * [taylor]: Taking taylor expansion of 1/3 in ky
22.261 * [backup-simplify]: Simplify 1/3 into 1/3
22.261 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in ky
22.261 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in ky
22.261 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
22.261 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
22.261 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
22.261 * [taylor]: Taking taylor expansion of -1 in ky
22.261 * [backup-simplify]: Simplify -1 into -1
22.261 * [taylor]: Taking taylor expansion of ky in ky
22.261 * [backup-simplify]: Simplify 0 into 0
22.261 * [backup-simplify]: Simplify 1 into 1
22.262 * [backup-simplify]: Simplify (/ -1 1) into -1
22.262 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.262 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in ky
22.262 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
22.262 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
22.262 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
22.262 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
22.262 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
22.262 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
22.262 * [taylor]: Taking taylor expansion of -1 in ky
22.262 * [backup-simplify]: Simplify -1 into -1
22.262 * [taylor]: Taking taylor expansion of ky in ky
22.262 * [backup-simplify]: Simplify 0 into 0
22.262 * [backup-simplify]: Simplify 1 into 1
22.262 * [backup-simplify]: Simplify (/ -1 1) into -1
22.262 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.262 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
22.262 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
22.262 * [taylor]: Taking taylor expansion of -1 in ky
22.262 * [backup-simplify]: Simplify -1 into -1
22.262 * [taylor]: Taking taylor expansion of ky in ky
22.262 * [backup-simplify]: Simplify 0 into 0
22.263 * [backup-simplify]: Simplify 1 into 1
22.263 * [backup-simplify]: Simplify (/ -1 1) into -1
22.263 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.263 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
22.263 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
22.263 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
22.263 * [taylor]: Taking taylor expansion of -1 in ky
22.263 * [backup-simplify]: Simplify -1 into -1
22.263 * [taylor]: Taking taylor expansion of kx in ky
22.263 * [backup-simplify]: Simplify kx into kx
22.263 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
22.263 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
22.263 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
22.263 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
22.263 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
22.263 * [taylor]: Taking taylor expansion of -1 in ky
22.263 * [backup-simplify]: Simplify -1 into -1
22.263 * [taylor]: Taking taylor expansion of kx in ky
22.263 * [backup-simplify]: Simplify kx into kx
22.263 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
22.263 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
22.263 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
22.263 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.263 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
22.264 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
22.264 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
22.264 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
22.264 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
22.264 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
22.264 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
22.264 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
22.264 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
22.264 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
22.265 * [backup-simplify]: Simplify (+ 0) into 0
22.265 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
22.265 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
22.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
22.266 * [backup-simplify]: Simplify (+ 0 0) into 0
22.267 * [backup-simplify]: Simplify (+ 0) into 0
22.267 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
22.267 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
22.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.269 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
22.269 * [backup-simplify]: Simplify (+ 0 0) into 0
22.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
22.270 * [backup-simplify]: Simplify (+ 0 0) into 0
22.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
22.271 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.272 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
22.272 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
22.273 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
22.273 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
22.274 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
22.274 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in ky
22.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in ky
22.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in ky
22.274 * [taylor]: Taking taylor expansion of 1/3 in ky
22.274 * [backup-simplify]: Simplify 1/3 into 1/3
22.274 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in ky
22.274 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in ky
22.274 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
22.274 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
22.274 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
22.274 * [taylor]: Taking taylor expansion of -1 in ky
22.274 * [backup-simplify]: Simplify -1 into -1
22.274 * [taylor]: Taking taylor expansion of ky in ky
22.275 * [backup-simplify]: Simplify 0 into 0
22.275 * [backup-simplify]: Simplify 1 into 1
22.275 * [backup-simplify]: Simplify (/ -1 1) into -1
22.275 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.275 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in ky
22.275 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
22.276 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
22.276 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
22.276 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
22.276 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
22.276 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
22.276 * [taylor]: Taking taylor expansion of -1 in ky
22.276 * [backup-simplify]: Simplify -1 into -1
22.276 * [taylor]: Taking taylor expansion of ky in ky
22.276 * [backup-simplify]: Simplify 0 into 0
22.276 * [backup-simplify]: Simplify 1 into 1
22.276 * [backup-simplify]: Simplify (/ -1 1) into -1
22.276 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.276 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
22.276 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
22.276 * [taylor]: Taking taylor expansion of -1 in ky
22.276 * [backup-simplify]: Simplify -1 into -1
22.276 * [taylor]: Taking taylor expansion of ky in ky
22.276 * [backup-simplify]: Simplify 0 into 0
22.276 * [backup-simplify]: Simplify 1 into 1
22.277 * [backup-simplify]: Simplify (/ -1 1) into -1
22.277 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.277 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
22.277 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
22.277 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
22.277 * [taylor]: Taking taylor expansion of -1 in ky
22.277 * [backup-simplify]: Simplify -1 into -1
22.277 * [taylor]: Taking taylor expansion of kx in ky
22.277 * [backup-simplify]: Simplify kx into kx
22.277 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
22.277 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
22.277 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
22.277 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
22.277 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
22.277 * [taylor]: Taking taylor expansion of -1 in ky
22.277 * [backup-simplify]: Simplify -1 into -1
22.277 * [taylor]: Taking taylor expansion of kx in ky
22.277 * [backup-simplify]: Simplify kx into kx
22.278 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
22.278 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
22.278 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
22.278 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.278 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
22.278 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
22.278 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
22.278 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
22.278 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
22.278 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
22.279 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
22.279 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
22.279 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
22.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
22.280 * [backup-simplify]: Simplify (+ 0) into 0
22.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
22.281 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
22.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.282 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
22.282 * [backup-simplify]: Simplify (+ 0 0) into 0
22.282 * [backup-simplify]: Simplify (+ 0) into 0
22.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
22.283 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
22.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
22.284 * [backup-simplify]: Simplify (+ 0 0) into 0
22.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
22.285 * [backup-simplify]: Simplify (+ 0 0) into 0
22.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
22.286 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.286 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
22.287 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
22.287 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
22.288 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
22.288 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
22.288 * [taylor]: Taking taylor expansion of (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) in kx
22.288 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in kx
22.288 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
22.288 * [taylor]: Taking taylor expansion of 1/3 in kx
22.289 * [backup-simplify]: Simplify 1/3 into 1/3
22.289 * [taylor]: Taking taylor expansion of (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
22.289 * [taylor]: Taking taylor expansion of (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
22.289 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
22.289 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
22.289 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
22.289 * [taylor]: Taking taylor expansion of -1 in kx
22.289 * [backup-simplify]: Simplify -1 into -1
22.289 * [taylor]: Taking taylor expansion of ky in kx
22.289 * [backup-simplify]: Simplify ky into ky
22.289 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
22.289 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.289 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
22.289 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
22.289 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
22.289 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
22.289 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
22.289 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
22.289 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
22.289 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
22.289 * [taylor]: Taking taylor expansion of -1 in kx
22.289 * [backup-simplify]: Simplify -1 into -1
22.289 * [taylor]: Taking taylor expansion of kx in kx
22.289 * [backup-simplify]: Simplify 0 into 0
22.289 * [backup-simplify]: Simplify 1 into 1
22.290 * [backup-simplify]: Simplify (/ -1 1) into -1
22.290 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
22.290 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
22.290 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
22.290 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
22.290 * [taylor]: Taking taylor expansion of -1 in kx
22.290 * [backup-simplify]: Simplify -1 into -1
22.290 * [taylor]: Taking taylor expansion of ky in kx
22.290 * [backup-simplify]: Simplify ky into ky
22.290 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
22.290 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
22.290 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
22.291 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
22.291 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
22.291 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
22.291 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.291 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
22.291 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
22.292 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
22.292 * [backup-simplify]: Simplify (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
22.292 * [backup-simplify]: Simplify (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
22.293 * [backup-simplify]: Simplify (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
22.293 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
22.294 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) into (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
22.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
22.295 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
22.296 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
22.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.299 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.299 * [taylor]: Taking taylor expansion of 0 in kx
22.300 * [backup-simplify]: Simplify 0 into 0
22.300 * [backup-simplify]: Simplify 0 into 0
22.300 * [backup-simplify]: Simplify (+ 0) into 0
22.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
22.301 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
22.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
22.302 * [backup-simplify]: Simplify (+ 0 0) into 0
22.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
22.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
22.303 * [backup-simplify]: Simplify (+ 0) into 0
22.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
22.303 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
22.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
22.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
22.305 * [backup-simplify]: Simplify (+ 0 0) into 0
22.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
22.305 * [backup-simplify]: Simplify (+ 0 0) into 0
22.307 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
22.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.311 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
22.311 * [backup-simplify]: Simplify 0 into 0
22.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
22.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
22.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.314 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
22.314 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
22.316 * [backup-simplify]: Simplify (+ 0 0) into 0
22.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
22.318 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.319 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
22.320 * [backup-simplify]: Simplify (+ 0 0) into 0
22.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
22.321 * [backup-simplify]: Simplify (+ 0 0) into 0
22.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
22.323 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.325 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.327 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
22.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
22.330 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.330 * [taylor]: Taking taylor expansion of 0 in kx
22.331 * [backup-simplify]: Simplify 0 into 0
22.331 * [backup-simplify]: Simplify 0 into 0
22.331 * [backup-simplify]: Simplify 0 into 0
22.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.333 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
22.333 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
22.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
22.335 * [backup-simplify]: Simplify (+ 0 0) into 0
22.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
22.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
22.337 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
22.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
22.338 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
22.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
22.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
22.339 * [backup-simplify]: Simplify (+ 0 0) into 0
22.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
22.340 * [backup-simplify]: Simplify (+ 0 0) into 0
22.342 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
22.346 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
22.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
22.349 * [backup-simplify]: Simplify 0 into 0
22.350 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
22.350 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
22.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.352 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.353 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.354 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.355 * [backup-simplify]: Simplify (+ 0 0) into 0
22.356 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
22.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.357 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
22.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
22.360 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
22.360 * [backup-simplify]: Simplify (+ 0 0) into 0
22.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
22.361 * [backup-simplify]: Simplify (+ 0 0) into 0
22.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
22.364 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
22.366 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
22.372 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 6) into 0
22.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
22.378 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (pow (sin (/ -1 ky)) 2) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
22.378 * [taylor]: Taking taylor expansion of 0 in kx
22.378 * [backup-simplify]: Simplify 0 into 0
22.378 * [backup-simplify]: Simplify 0 into 0
22.379 * [backup-simplify]: Simplify (pow (/ (pow (sin (/ -1 (/ 1 (- ky)))) 2) (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) 1/3) into (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
22.379 * * * [progress]: simplifying candidates
22.384 * [simplify]: Simplifying:
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) 1))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 1))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt 1)
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) 1))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 1))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt 1)
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) 1))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 1))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt 1)
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (log1p (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (+ 1 1)
  (+ (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (sqrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (sqrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) 1)) (cbrt (/ (sqrt (sin ky)) 1)))
  (* (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ 1 1)) (cbrt (/ 1 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* 1 1)
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ 1 1)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt 1))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) 1)
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (- (+ (exp (* 1/3 (- (log ky) (log kx)))) (* 1/18 (* (pow kx 2) (exp (* 1/3 (- (log ky) (log kx))))))) (* 13/108 (* (pow ky 2) (exp (* 1/3 (- (log ky) (log kx)))))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1/3)
  (- (+ (* 1/9 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow kx 2))) (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx)))))) (* 7/27 (* (exp (* 1/3 (- (* 2 (log ky)) (* 2 (log kx))))) (pow ky 2))))
  (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
  (pow (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
22.390 * * [simplify]: iteration 0: 171 enodes
22.444 * * [simplify]: iteration 1: 322 enodes
22.576 * * [simplify]: iteration 2: 754 enodes
22.871 * * [simplify]: iteration 3: 1695 enodes
23.971 * * [simplify]: iteration 4: 4759 enodes
25.105 * * [simplify]: iteration complete: 5000 enodes
25.105 * * [simplify]: Extracting #0: cost 88 inf + 0
25.107 * * [simplify]: Extracting #1: cost 513 inf + 3
25.116 * * [simplify]: Extracting #2: cost 980 inf + 2671
25.123 * * [simplify]: Extracting #3: cost 1126 inf + 23582
25.157 * * [simplify]: Extracting #4: cost 756 inf + 141530
25.260 * * [simplify]: Extracting #5: cost 243 inf + 349733
25.374 * * [simplify]: Extracting #6: cost 16 inf + 474602
25.527 * * [simplify]: Extracting #7: cost 0 inf + 485394
25.650 * [simplify]: Simplified to:
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (sin ky)))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (sin ky)))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (* (cbrt (sin ky)) (cbrt (sin ky))))
  (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (sqrt (sin ky)))
  (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (/ 1 (hypot (sin ky) (sin kx))))
  (cbrt (sin ky))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (expm1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (log1p (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  2/3
  2
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  2
  (+ (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (+ (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (log (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (fabs (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (fabs (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))) (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))
  (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (sin ky))) (cbrt (sqrt (sin ky))))
  (* (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))
  1
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  1
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  1
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  2/3
  2
  (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (sqrt (sin ky))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))
  (* (cbrt (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (* (sqrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (fma (exp (* (- (log ky) (log kx)) 1/3)) (fma kx (* 1/18 kx) (* -13/108 (* ky ky))) (exp (* (- (log ky) (log kx)) 1/3)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (fma (exp (* (- (log ky) (log kx)) 1/3)) (fma kx (* 1/18 kx) (* -13/108 (* ky ky))) (exp (* (- (log ky) (log kx)) 1/3)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (fma (exp (* (- (log ky) (log kx)) 1/3)) (fma kx (* 1/18 kx) (* -13/108 (* ky ky))) (exp (* (- (log ky) (log kx)) 1/3)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (cbrt (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)))
  (fma (exp (* 2/3 (- (log ky) (log kx)))) (fma 1/9 (* kx kx) (* (* ky ky) -7/27)) (exp (* 2/3 (- (log ky) (log kx)))))
  (cbrt (/ (* (sin ky) (sin ky)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))
  (cbrt (/ (* (sin ky) (sin ky)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))
25.679 * * * [progress]: adding candidates to table
27.224 * [progress]: [Phase 3 of 3] Extracting.
27.224 * * [regime]: Finding splitpoints for: (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
27.234 * * * [regime-changes]: Trying 7 branch expressions: ((sin th) (sin kx) (pow (sin kx) 2.0) (sin ky) th ky kx)
27.234 * * * * [regimes]: Trying to branch on (sin th) from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
27.460 * * * * [regimes]: Trying to branch on (sin kx) from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
27.715 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
28.016 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))>)
28.120 * * * * [regimes]: Trying to branch on (sin ky) from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
28.365 * * * * [regimes]: Trying to branch on th from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
28.636 * * * * [regimes]: Trying to branch on ky from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
28.935 * * * * [regimes]: Trying to branch on kx from (#<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (log (exp (pow (sin kx) 2.0))) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (cbrt (* (* (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))))> #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (cbrt (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (cbrt (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (/ 1 (hypot (sin ky) (sin kx)))) (cbrt (/ 1 (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (log (exp (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (log (exp (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (sin th))))> #<alt (λ (kx ky th) (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))> #<alt (λ (kx ky th) (* (* (* (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (cbrt (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sin th)))> #<alt (λ (kx ky th) (* (exp (log (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))> #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))> #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))> #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))> #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))> #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>)
29.219 * * * [regime]: Found split indices: #<option (#s(si 13 255))>
29.220 * [simplify]: Simplifying:
  (* (* 1 (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th)))
29.220 * * [simplify]: iteration 0: 14 enodes
29.222 * * [simplify]: iteration 1: 18 enodes
29.223 * * [simplify]: iteration complete: 18 enodes
29.223 * * [simplify]: Extracting #0: cost 1 inf + 0
29.223 * * [simplify]: Extracting #1: cost 3 inf + 0
29.223 * * [simplify]: Extracting #2: cost 6 inf + 0
29.223 * * [simplify]: Extracting #3: cost 7 inf + 1
29.223 * * [simplify]: Extracting #4: cost 7 inf + 63
29.223 * * [simplify]: Extracting #5: cost 9 inf + 63
29.223 * * [simplify]: Extracting #6: cost 8 inf + 125
29.223 * * [simplify]: Extracting #7: cost 7 inf + 126
29.223 * * [simplify]: Extracting #8: cost 5 inf + 364
29.224 * * [simplify]: Extracting #9: cost 2 inf + 1215
29.224 * * [simplify]: Extracting #10: cost 0 inf + 2091
29.225 * [simplify]: Simplified to:
  (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (sin th) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))))
41.973 * [regime-testing]: Baseline error score: 9.253167352148719
41.982 * [regime-testing]: Oracle error score: 8.72375990725628
42.005 * [regime-testing]: End program error score: 9.253167352148719