0.739 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
0.691 * * * [progress]: [2/2] Setting up program.
0.701 * [progress]: [Phase 2 of 3] Improving.
0.701 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)))>
0.704 * [simplify]: Simplifying:
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
0.705 * * [simplify]: iteration 0: 13 enodes
0.715 * * [simplify]: iteration 1: 25 enodes
0.728 * * [simplify]: iteration 2: 61 enodes
0.749 * * [simplify]: iteration 3: 95 enodes
0.779 * * [simplify]: iteration 4: 177 enodes
0.871 * * [simplify]: iteration 5: 367 enodes
1.162 * * [simplify]: iteration 6: 911 enodes
1.888 * * [simplify]: iteration 7: 3205 enodes
3.023 * * [simplify]: iteration complete: 5000 enodes
3.023 * * [simplify]: Extracting #0: cost 1 inf + 0
3.024 * * [simplify]: Extracting #1: cost 107 inf + 0
3.025 * * [simplify]: Extracting #2: cost 337 inf + 0
3.027 * * [simplify]: Extracting #3: cost 397 inf + 7617
3.032 * * [simplify]: Extracting #4: cost 608 inf + 24761
3.048 * * [simplify]: Extracting #5: cost 862 inf + 187592
3.112 * * [simplify]: Extracting #6: cost 465 inf + 591951
3.249 * * [simplify]: Extracting #7: cost 46 inf + 969916
3.399 * * [simplify]: Extracting #8: cost 0 inf + 1006671
3.524 * [simplify]: Simplified to:
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
3.534 * * [progress]: iteration 1 / 4
3.534 * * * [progress]: picking best candidate
3.542 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
3.542 * * * [progress]: localizing error
3.572 * * * [progress]: generating rewritten candidates
3.572 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
3.596 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
3.631 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2)
3.650 * * * [progress]: generating series expansions
3.650 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
3.657 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin ky) (sin kx))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
3.657 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
3.658 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
3.659 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.659 * [taylor]: Taking taylor expansion of ky in kx
3.659 * [backup-simplify]: Simplify ky into ky
3.659 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.659 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.659 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.661 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.661 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.661 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.661 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.661 * [taylor]: Taking taylor expansion of ky in kx
3.661 * [backup-simplify]: Simplify ky into ky
3.661 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.661 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.661 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.661 * [taylor]: Taking taylor expansion of ky in kx
3.661 * [backup-simplify]: Simplify ky into ky
3.661 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.661 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.661 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.661 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.661 * [taylor]: Taking taylor expansion of kx in kx
3.661 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 1 into 1
3.662 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.662 * [taylor]: Taking taylor expansion of kx in kx
3.662 * [backup-simplify]: Simplify 0 into 0
3.662 * [backup-simplify]: Simplify 1 into 1
3.662 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.662 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.663 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.663 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.664 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.664 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.664 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.665 * [backup-simplify]: Simplify (* 0 0) into 0
3.665 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.666 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.667 * [backup-simplify]: Simplify (+ 0) into 0
3.667 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.669 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.670 * [backup-simplify]: Simplify (+ 0 0) into 0
3.670 * [backup-simplify]: Simplify (+ 0) into 0
3.671 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.672 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.673 * [backup-simplify]: Simplify (+ 0 0) into 0
3.673 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.675 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.675 * [backup-simplify]: Simplify (+ 0 0) into 0
3.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.676 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.676 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.676 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.676 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
3.676 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
3.676 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.676 * [taylor]: Taking taylor expansion of ky in ky
3.676 * [backup-simplify]: Simplify 0 into 0
3.676 * [backup-simplify]: Simplify 1 into 1
3.676 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.677 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.677 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.677 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.677 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.677 * [taylor]: Taking taylor expansion of ky in ky
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 1 into 1
3.677 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.677 * [taylor]: Taking taylor expansion of ky in ky
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 1 into 1
3.677 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.677 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.677 * [taylor]: Taking taylor expansion of kx in ky
3.677 * [backup-simplify]: Simplify kx into kx
3.677 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.677 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.677 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.677 * [taylor]: Taking taylor expansion of kx in ky
3.677 * [backup-simplify]: Simplify kx into kx
3.677 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.677 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.678 * [backup-simplify]: Simplify (* 0 0) into 0
3.678 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.678 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.678 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.678 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.678 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.678 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.678 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.678 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.679 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.681 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.681 * [backup-simplify]: Simplify (+ 0) into 0
3.682 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.683 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.683 * [backup-simplify]: Simplify (+ 0 0) into 0
3.684 * [backup-simplify]: Simplify (+ 0) into 0
3.684 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.685 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.686 * [backup-simplify]: Simplify (+ 0 0) into 0
3.686 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.686 * [backup-simplify]: Simplify (+ 0 0) into 0
3.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.687 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
3.687 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
3.688 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.688 * [taylor]: Taking taylor expansion of ky in ky
3.688 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify 1 into 1
3.688 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.688 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.688 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.688 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.688 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.688 * [taylor]: Taking taylor expansion of ky in ky
3.688 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify 1 into 1
3.688 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.688 * [taylor]: Taking taylor expansion of ky in ky
3.688 * [backup-simplify]: Simplify 0 into 0
3.688 * [backup-simplify]: Simplify 1 into 1
3.688 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.688 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.688 * [taylor]: Taking taylor expansion of kx in ky
3.688 * [backup-simplify]: Simplify kx into kx
3.688 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.688 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.688 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.688 * [taylor]: Taking taylor expansion of kx in ky
3.688 * [backup-simplify]: Simplify kx into kx
3.688 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.688 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.689 * [backup-simplify]: Simplify (* 0 0) into 0
3.689 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.689 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.689 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.689 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.689 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.690 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.690 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.690 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.690 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.692 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.693 * [backup-simplify]: Simplify (+ 0) into 0
3.693 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.695 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.695 * [backup-simplify]: Simplify (+ 0 0) into 0
3.695 * [backup-simplify]: Simplify (+ 0) into 0
3.696 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.697 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.697 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.698 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.698 * [backup-simplify]: Simplify (+ 0 0) into 0
3.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.699 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
3.700 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.700 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.700 * [taylor]: Taking taylor expansion of kx in kx
3.700 * [backup-simplify]: Simplify 0 into 0
3.700 * [backup-simplify]: Simplify 1 into 1
3.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.702 * [backup-simplify]: Simplify (/ 1 1) into 1
3.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.703 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.705 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
3.705 * [taylor]: Taking taylor expansion of 0 in kx
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 0 into 0
3.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.708 * [backup-simplify]: Simplify 1/6 into 1/6
3.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.711 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.712 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.715 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.716 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.716 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.716 * [backup-simplify]: Simplify (+ 0 0) into 0
3.717 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.718 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.719 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.720 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.720 * [backup-simplify]: Simplify (+ 0 0) into 0
3.721 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.721 * [backup-simplify]: Simplify (+ 1 0) into 1
3.722 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
3.723 * [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)))))
3.723 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
3.723 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
3.723 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.723 * [taylor]: Taking taylor expansion of 1/6 in kx
3.723 * [backup-simplify]: Simplify 1/6 into 1/6
3.723 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.723 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.723 * [taylor]: Taking taylor expansion of kx in kx
3.723 * [backup-simplify]: Simplify 0 into 0
3.723 * [backup-simplify]: Simplify 1 into 1
3.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.724 * [backup-simplify]: Simplify (/ 1 1) into 1
3.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
3.724 * [taylor]: Taking taylor expansion of 1/2 in kx
3.724 * [backup-simplify]: Simplify 1/2 into 1/2
3.724 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
3.724 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
3.724 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.724 * [taylor]: Taking taylor expansion of kx in kx
3.724 * [backup-simplify]: Simplify 0 into 0
3.724 * [backup-simplify]: Simplify 1 into 1
3.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.726 * [backup-simplify]: Simplify (* 1 1) into 1
3.726 * [backup-simplify]: Simplify (* 1 1) into 1
3.727 * [backup-simplify]: Simplify (/ 1 1) into 1
3.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.729 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.731 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.732 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
3.736 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
3.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.741 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
3.746 * [backup-simplify]: Simplify (+ 0 0) into 0
3.746 * [backup-simplify]: Simplify (- 0) into 0
3.746 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify 0 into 0
3.748 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
3.749 * [backup-simplify]: Simplify 0 into 0
3.751 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.753 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.756 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
3.757 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.758 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.760 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.761 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.761 * [backup-simplify]: Simplify (+ 0 0) into 0
3.762 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.763 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.765 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.765 * [backup-simplify]: Simplify (+ 0 0) into 0
3.767 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.767 * [backup-simplify]: Simplify (+ 0 0) into 0
3.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
3.769 * [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
3.769 * [taylor]: Taking taylor expansion of 0 in kx
3.769 * [backup-simplify]: Simplify 0 into 0
3.769 * [backup-simplify]: Simplify 0 into 0
3.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.772 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
3.776 * [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
3.778 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
3.780 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
3.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
3.783 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
3.784 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
3.784 * [backup-simplify]: Simplify (- 71/720) into -71/720
3.784 * [backup-simplify]: Simplify -71/720 into -71/720
3.784 * [backup-simplify]: Simplify 0 into 0
3.788 * [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
3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
3.790 * [backup-simplify]: Simplify 7/360 into 7/360
3.791 * [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))))
3.791 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
3.791 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
3.791 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
3.791 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.791 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.791 * [taylor]: Taking taylor expansion of ky in kx
3.791 * [backup-simplify]: Simplify ky into ky
3.791 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.791 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.792 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.792 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.792 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.792 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.792 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.792 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.792 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.792 * [taylor]: Taking taylor expansion of ky in kx
3.792 * [backup-simplify]: Simplify ky into ky
3.792 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.792 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.792 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.792 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.792 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.792 * [taylor]: Taking taylor expansion of ky in kx
3.792 * [backup-simplify]: Simplify ky into ky
3.792 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.792 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.792 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.792 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.792 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.792 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.792 * [taylor]: Taking taylor expansion of kx in kx
3.792 * [backup-simplify]: Simplify 0 into 0
3.792 * [backup-simplify]: Simplify 1 into 1
3.793 * [backup-simplify]: Simplify (/ 1 1) into 1
3.793 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.793 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.793 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.793 * [taylor]: Taking taylor expansion of kx in kx
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 1 into 1
3.794 * [backup-simplify]: Simplify (/ 1 1) into 1
3.794 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.794 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.794 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.794 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.794 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.794 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.794 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.794 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.794 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.795 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.795 * [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)))
3.805 * [backup-simplify]: Simplify (+ 0) into 0
3.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.807 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.808 * [backup-simplify]: Simplify (+ 0 0) into 0
3.808 * [backup-simplify]: Simplify (+ 0) into 0
3.808 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.810 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.810 * [backup-simplify]: Simplify (+ 0 0) into 0
3.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.811 * [backup-simplify]: Simplify (+ 0 0) into 0
3.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.811 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.811 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.811 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.812 * [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)))
3.812 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.812 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.812 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.812 * [taylor]: Taking taylor expansion of ky in ky
3.812 * [backup-simplify]: Simplify 0 into 0
3.812 * [backup-simplify]: Simplify 1 into 1
3.812 * [backup-simplify]: Simplify (/ 1 1) into 1
3.813 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.813 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.813 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.813 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.813 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.813 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.813 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.813 * [taylor]: Taking taylor expansion of ky in ky
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 1 into 1
3.813 * [backup-simplify]: Simplify (/ 1 1) into 1
3.813 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.813 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.813 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.813 * [taylor]: Taking taylor expansion of ky in ky
3.813 * [backup-simplify]: Simplify 0 into 0
3.813 * [backup-simplify]: Simplify 1 into 1
3.814 * [backup-simplify]: Simplify (/ 1 1) into 1
3.814 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.814 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.814 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.814 * [taylor]: Taking taylor expansion of kx in ky
3.814 * [backup-simplify]: Simplify kx into kx
3.814 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.814 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.814 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.814 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.814 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.814 * [taylor]: Taking taylor expansion of kx in ky
3.814 * [backup-simplify]: Simplify kx into kx
3.814 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.814 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.814 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.815 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.815 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.815 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.815 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.815 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.815 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.815 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.815 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.816 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.816 * [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)))
3.816 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.816 * [backup-simplify]: Simplify (+ 0) into 0
3.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.819 * [backup-simplify]: Simplify (+ 0 0) into 0
3.819 * [backup-simplify]: Simplify (+ 0) into 0
3.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.821 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.821 * [backup-simplify]: Simplify (+ 0 0) into 0
3.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.822 * [backup-simplify]: Simplify (+ 0 0) into 0
3.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.823 * [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)))
3.823 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.823 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.823 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.823 * [taylor]: Taking taylor expansion of ky in ky
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (/ 1 1) into 1
3.823 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.823 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.823 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.823 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.823 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.823 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.823 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.823 * [taylor]: Taking taylor expansion of ky in ky
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.824 * [backup-simplify]: Simplify (/ 1 1) into 1
3.824 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.824 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.824 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.824 * [taylor]: Taking taylor expansion of ky in ky
3.824 * [backup-simplify]: Simplify 0 into 0
3.824 * [backup-simplify]: Simplify 1 into 1
3.824 * [backup-simplify]: Simplify (/ 1 1) into 1
3.825 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.825 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.825 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.825 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.825 * [taylor]: Taking taylor expansion of kx in ky
3.825 * [backup-simplify]: Simplify kx into kx
3.825 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.825 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.825 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.825 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.825 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.825 * [taylor]: Taking taylor expansion of kx in ky
3.825 * [backup-simplify]: Simplify kx into kx
3.825 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.825 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.825 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.825 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.826 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.826 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.826 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.826 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.826 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.826 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.826 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.827 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.827 * [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)))
3.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.827 * [backup-simplify]: Simplify (+ 0) into 0
3.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.829 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.830 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [backup-simplify]: Simplify (+ 0) into 0
3.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.832 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.833 * [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)))
3.833 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
3.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.833 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.833 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.833 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.833 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.833 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.833 * [taylor]: Taking taylor expansion of kx in kx
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (/ 1 1) into 1
3.833 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.833 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.833 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.833 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.833 * [taylor]: Taking taylor expansion of ky in kx
3.833 * [backup-simplify]: Simplify ky into ky
3.833 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.833 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.833 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.833 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.834 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.834 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.834 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.834 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.834 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.834 * [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)))
3.834 * [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))))
3.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.835 * [backup-simplify]: Simplify (+ 0) into 0
3.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.836 * [backup-simplify]: Simplify (+ 0 0) into 0
3.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.837 * [backup-simplify]: Simplify (+ 0 0) into 0
3.837 * [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
3.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.837 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.837 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.837 * [taylor]: Taking taylor expansion of ky in kx
3.837 * [backup-simplify]: Simplify ky into ky
3.837 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.837 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.837 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.837 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.837 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.838 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.838 * [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)))
3.838 * [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)))
3.839 * [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
3.839 * [taylor]: Taking taylor expansion of 0 in kx
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify (+ 0) into 0
3.839 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.840 * [backup-simplify]: Simplify (+ 0 0) into 0
3.841 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.843 * [backup-simplify]: Simplify (+ 0 0) into 0
3.844 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.845 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.845 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.845 * [backup-simplify]: Simplify (+ 0 0) into 0
3.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.846 * [backup-simplify]: Simplify (+ 0 0) into 0
3.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.847 * [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
3.847 * [taylor]: Taking taylor expansion of 0 in kx
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 0 into 0
3.847 * [backup-simplify]: Simplify 0 into 0
3.848 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.848 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.849 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.849 * [backup-simplify]: Simplify (+ 0 0) into 0
3.850 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.851 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.851 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.852 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.852 * [backup-simplify]: Simplify (+ 0 0) into 0
3.852 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.852 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [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
3.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.854 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.854 * [backup-simplify]: Simplify 0 into 0
3.855 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.855 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.857 * [backup-simplify]: Simplify (+ 0 0) into 0
3.858 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.860 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.861 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.861 * [backup-simplify]: Simplify (+ 0 0) into 0
3.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.862 * [backup-simplify]: Simplify (+ 0 0) into 0
3.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.865 * [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
3.865 * [taylor]: Taking taylor expansion of 0 in kx
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [backup-simplify]: Simplify 0 into 0
3.865 * [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))
3.866 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
3.866 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
3.866 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
3.866 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.866 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.866 * [taylor]: Taking taylor expansion of -1 in kx
3.866 * [backup-simplify]: Simplify -1 into -1
3.866 * [taylor]: Taking taylor expansion of ky in kx
3.866 * [backup-simplify]: Simplify ky into ky
3.866 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.866 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.866 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.866 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.866 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.866 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.866 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.866 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.866 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.866 * [taylor]: Taking taylor expansion of -1 in kx
3.866 * [backup-simplify]: Simplify -1 into -1
3.866 * [taylor]: Taking taylor expansion of ky in kx
3.866 * [backup-simplify]: Simplify ky into ky
3.867 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.867 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.867 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.867 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.867 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.867 * [taylor]: Taking taylor expansion of -1 in kx
3.867 * [backup-simplify]: Simplify -1 into -1
3.867 * [taylor]: Taking taylor expansion of ky in kx
3.867 * [backup-simplify]: Simplify ky into ky
3.867 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.867 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.867 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.867 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.867 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.867 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.867 * [taylor]: Taking taylor expansion of -1 in kx
3.867 * [backup-simplify]: Simplify -1 into -1
3.867 * [taylor]: Taking taylor expansion of kx in kx
3.867 * [backup-simplify]: Simplify 0 into 0
3.867 * [backup-simplify]: Simplify 1 into 1
3.868 * [backup-simplify]: Simplify (/ -1 1) into -1
3.868 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.868 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.868 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.868 * [taylor]: Taking taylor expansion of -1 in kx
3.868 * [backup-simplify]: Simplify -1 into -1
3.868 * [taylor]: Taking taylor expansion of kx in kx
3.868 * [backup-simplify]: Simplify 0 into 0
3.868 * [backup-simplify]: Simplify 1 into 1
3.868 * [backup-simplify]: Simplify (/ -1 1) into -1
3.869 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.869 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.869 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.869 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.869 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.869 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.869 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.869 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.869 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.870 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.870 * [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)))
3.870 * [backup-simplify]: Simplify (+ 0) into 0
3.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.871 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.873 * [backup-simplify]: Simplify (+ 0) into 0
3.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.874 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.875 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.876 * [backup-simplify]: Simplify (+ 0 0) into 0
3.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.877 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.877 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.877 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.877 * [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)))
3.877 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.877 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.878 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.878 * [taylor]: Taking taylor expansion of -1 in ky
3.878 * [backup-simplify]: Simplify -1 into -1
3.878 * [taylor]: Taking taylor expansion of ky in ky
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify (/ -1 1) into -1
3.878 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.878 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.878 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.878 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.878 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.878 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.878 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.878 * [taylor]: Taking taylor expansion of -1 in ky
3.879 * [backup-simplify]: Simplify -1 into -1
3.879 * [taylor]: Taking taylor expansion of ky in ky
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 1 into 1
3.879 * [backup-simplify]: Simplify (/ -1 1) into -1
3.879 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.879 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.879 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.879 * [taylor]: Taking taylor expansion of -1 in ky
3.879 * [backup-simplify]: Simplify -1 into -1
3.879 * [taylor]: Taking taylor expansion of ky in ky
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 1 into 1
3.880 * [backup-simplify]: Simplify (/ -1 1) into -1
3.880 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.880 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.880 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.880 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.880 * [taylor]: Taking taylor expansion of -1 in ky
3.880 * [backup-simplify]: Simplify -1 into -1
3.880 * [taylor]: Taking taylor expansion of kx in ky
3.880 * [backup-simplify]: Simplify kx into kx
3.880 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.880 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.880 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.881 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.881 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.881 * [taylor]: Taking taylor expansion of -1 in ky
3.881 * [backup-simplify]: Simplify -1 into -1
3.881 * [taylor]: Taking taylor expansion of kx in ky
3.881 * [backup-simplify]: Simplify kx into kx
3.881 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.881 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.881 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.881 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.881 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.881 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.881 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.881 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.881 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.881 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.882 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.882 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.882 * [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)))
3.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.883 * [backup-simplify]: Simplify (+ 0) into 0
3.883 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.883 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.885 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.885 * [backup-simplify]: Simplify (+ 0 0) into 0
3.885 * [backup-simplify]: Simplify (+ 0) into 0
3.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.886 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.887 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.888 * [backup-simplify]: Simplify (+ 0 0) into 0
3.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.888 * [backup-simplify]: Simplify (+ 0 0) into 0
3.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.889 * [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)))
3.889 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.889 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.889 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.889 * [taylor]: Taking taylor expansion of -1 in ky
3.889 * [backup-simplify]: Simplify -1 into -1
3.889 * [taylor]: Taking taylor expansion of ky in ky
3.889 * [backup-simplify]: Simplify 0 into 0
3.889 * [backup-simplify]: Simplify 1 into 1
3.890 * [backup-simplify]: Simplify (/ -1 1) into -1
3.890 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.890 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.890 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.890 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.890 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.890 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.890 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.890 * [taylor]: Taking taylor expansion of -1 in ky
3.890 * [backup-simplify]: Simplify -1 into -1
3.890 * [taylor]: Taking taylor expansion of ky in ky
3.890 * [backup-simplify]: Simplify 0 into 0
3.890 * [backup-simplify]: Simplify 1 into 1
3.891 * [backup-simplify]: Simplify (/ -1 1) into -1
3.891 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.891 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.891 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.891 * [taylor]: Taking taylor expansion of -1 in ky
3.891 * [backup-simplify]: Simplify -1 into -1
3.891 * [taylor]: Taking taylor expansion of ky in ky
3.891 * [backup-simplify]: Simplify 0 into 0
3.891 * [backup-simplify]: Simplify 1 into 1
3.891 * [backup-simplify]: Simplify (/ -1 1) into -1
3.891 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.891 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.892 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.892 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.892 * [taylor]: Taking taylor expansion of -1 in ky
3.892 * [backup-simplify]: Simplify -1 into -1
3.892 * [taylor]: Taking taylor expansion of kx in ky
3.892 * [backup-simplify]: Simplify kx into kx
3.892 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.892 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.892 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.892 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.892 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.892 * [taylor]: Taking taylor expansion of -1 in ky
3.892 * [backup-simplify]: Simplify -1 into -1
3.892 * [taylor]: Taking taylor expansion of kx in ky
3.892 * [backup-simplify]: Simplify kx into kx
3.892 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.892 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.892 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.892 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.892 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.892 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.893 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.893 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.893 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.893 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.893 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.893 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.893 * [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)))
3.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.894 * [backup-simplify]: Simplify (+ 0) into 0
3.895 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.895 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.896 * [backup-simplify]: Simplify (+ 0 0) into 0
3.897 * [backup-simplify]: Simplify (+ 0) into 0
3.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.897 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.899 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.900 * [backup-simplify]: Simplify (+ 0 0) into 0
3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.900 * [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)))
3.901 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
3.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.901 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.901 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.901 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.901 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.901 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.901 * [taylor]: Taking taylor expansion of -1 in kx
3.901 * [backup-simplify]: Simplify -1 into -1
3.901 * [taylor]: Taking taylor expansion of kx in kx
3.901 * [backup-simplify]: Simplify 0 into 0
3.901 * [backup-simplify]: Simplify 1 into 1
3.901 * [backup-simplify]: Simplify (/ -1 1) into -1
3.902 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.902 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.902 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.902 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.902 * [taylor]: Taking taylor expansion of -1 in kx
3.902 * [backup-simplify]: Simplify -1 into -1
3.902 * [taylor]: Taking taylor expansion of ky in kx
3.902 * [backup-simplify]: Simplify ky into ky
3.902 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.902 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.902 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.902 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.902 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.902 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.902 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.902 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.903 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.903 * [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)))
3.903 * [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))))
3.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.904 * [backup-simplify]: Simplify (+ 0) into 0
3.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.904 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.906 * [backup-simplify]: Simplify (+ 0 0) into 0
3.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.907 * [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
3.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.908 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.908 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.908 * [taylor]: Taking taylor expansion of -1 in kx
3.908 * [backup-simplify]: Simplify -1 into -1
3.908 * [taylor]: Taking taylor expansion of ky in kx
3.908 * [backup-simplify]: Simplify ky into ky
3.908 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.908 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.908 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.908 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.908 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.908 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.909 * [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)))
3.909 * [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)))
3.910 * [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
3.910 * [taylor]: Taking taylor expansion of 0 in kx
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify (+ 0) into 0
3.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.911 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.913 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
3.913 * [backup-simplify]: Simplify 0 into 0
3.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.915 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.916 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.917 * [backup-simplify]: Simplify (+ 0 0) into 0
3.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.919 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.920 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.920 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.921 * [backup-simplify]: Simplify (+ 0 0) into 0
3.921 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.922 * [backup-simplify]: Simplify (+ 0 0) into 0
3.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.924 * [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
3.924 * [taylor]: Taking taylor expansion of 0 in kx
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.926 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.926 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.928 * [backup-simplify]: Simplify (+ 0 0) into 0
3.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.930 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.931 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.932 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.932 * [backup-simplify]: Simplify (+ 0 0) into 0
3.933 * [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
3.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.935 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.936 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.937 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.937 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.941 * [backup-simplify]: Simplify (+ 0 0) into 0
3.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.943 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.943 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.944 * [backup-simplify]: Simplify (+ 0 0) into 0
3.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.945 * [backup-simplify]: Simplify (+ 0 0) into 0
3.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.947 * [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
3.947 * [taylor]: Taking taylor expansion of 0 in kx
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [backup-simplify]: Simplify 0 into 0
3.947 * [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))
3.947 * * * * [progress]: [ 2 / 3 ] generating series at (2)
3.947 * [backup-simplify]: Simplify (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
3.947 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
3.947 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
3.948 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
3.948 * [taylor]: Taking taylor expansion of (sin th) in kx
3.948 * [taylor]: Taking taylor expansion of th in kx
3.948 * [backup-simplify]: Simplify th into th
3.948 * [backup-simplify]: Simplify (sin th) into (sin th)
3.948 * [backup-simplify]: Simplify (cos th) into (cos th)
3.948 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.948 * [taylor]: Taking taylor expansion of ky in kx
3.948 * [backup-simplify]: Simplify ky into ky
3.948 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.948 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.948 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.948 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.948 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.948 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.948 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.948 * [taylor]: Taking taylor expansion of ky in kx
3.948 * [backup-simplify]: Simplify ky into ky
3.948 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.948 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.948 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.948 * [taylor]: Taking taylor expansion of ky in kx
3.948 * [backup-simplify]: Simplify ky into ky
3.948 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.948 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.948 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.948 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.948 * [taylor]: Taking taylor expansion of kx in kx
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.948 * [taylor]: Taking taylor expansion of kx in kx
3.948 * [backup-simplify]: Simplify 0 into 0
3.948 * [backup-simplify]: Simplify 1 into 1
3.948 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.948 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.948 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.949 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.949 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.949 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.949 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.949 * [backup-simplify]: Simplify (* 0 0) into 0
3.949 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.949 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.949 * [backup-simplify]: Simplify (+ 0) into 0
3.950 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.951 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.951 * [backup-simplify]: Simplify (+ 0 0) into 0
3.951 * [backup-simplify]: Simplify (+ 0) into 0
3.951 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.952 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.952 * [backup-simplify]: Simplify (+ 0 0) into 0
3.952 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.954 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.954 * [backup-simplify]: Simplify (+ 0 0) into 0
3.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.954 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.954 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.954 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.954 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.954 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.954 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.954 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
3.954 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
3.954 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
3.954 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
3.954 * [taylor]: Taking taylor expansion of (sin th) in ky
3.955 * [taylor]: Taking taylor expansion of th in ky
3.955 * [backup-simplify]: Simplify th into th
3.955 * [backup-simplify]: Simplify (sin th) into (sin th)
3.955 * [backup-simplify]: Simplify (cos th) into (cos th)
3.955 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.955 * [taylor]: Taking taylor expansion of ky in ky
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.955 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.955 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.955 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.955 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.955 * [taylor]: Taking taylor expansion of ky in ky
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.955 * [taylor]: Taking taylor expansion of ky in ky
3.955 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify 1 into 1
3.955 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.955 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.955 * [taylor]: Taking taylor expansion of kx in ky
3.955 * [backup-simplify]: Simplify kx into kx
3.955 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.955 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.955 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.955 * [taylor]: Taking taylor expansion of kx in ky
3.955 * [backup-simplify]: Simplify kx into kx
3.955 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.955 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.955 * [backup-simplify]: Simplify (* 0 0) into 0
3.955 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.956 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.956 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.956 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.956 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.956 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.956 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.956 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.956 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.957 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.958 * [backup-simplify]: Simplify (+ 0) into 0
3.958 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.959 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.959 * [backup-simplify]: Simplify (+ 0) into 0
3.960 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.960 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.961 * [backup-simplify]: Simplify (+ 0 0) into 0
3.961 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.961 * [backup-simplify]: Simplify (+ 0 0) into 0
3.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.961 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.961 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.961 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.961 * [backup-simplify]: Simplify (* (sin th) 0) into 0
3.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.962 * [backup-simplify]: Simplify (+ 0) into 0
3.962 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
3.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.963 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
3.963 * [backup-simplify]: Simplify (+ 0 0) into 0
3.964 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
3.964 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
3.964 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.964 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.964 * [taylor]: Taking taylor expansion of (sin th) in th
3.964 * [taylor]: Taking taylor expansion of th in th
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify 1 into 1
3.964 * [taylor]: Taking taylor expansion of (sin ky) in th
3.964 * [taylor]: Taking taylor expansion of ky in th
3.964 * [backup-simplify]: Simplify ky into ky
3.964 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.964 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.964 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.964 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.964 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.964 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.964 * [taylor]: Taking taylor expansion of (sin ky) in th
3.964 * [taylor]: Taking taylor expansion of ky in th
3.964 * [backup-simplify]: Simplify ky into ky
3.964 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.964 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.964 * [taylor]: Taking taylor expansion of (sin ky) in th
3.964 * [taylor]: Taking taylor expansion of ky in th
3.964 * [backup-simplify]: Simplify ky into ky
3.964 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.964 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.964 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.964 * [taylor]: Taking taylor expansion of (sin kx) in th
3.964 * [taylor]: Taking taylor expansion of kx in th
3.964 * [backup-simplify]: Simplify kx into kx
3.964 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.964 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.964 * [taylor]: Taking taylor expansion of (sin kx) in th
3.964 * [taylor]: Taking taylor expansion of kx in th
3.964 * [backup-simplify]: Simplify kx into kx
3.964 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.964 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.964 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.964 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.964 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.965 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.965 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.965 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.965 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.965 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.965 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.965 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.965 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.965 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.965 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.965 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.965 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.965 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.965 * [backup-simplify]: Simplify (+ 0) into 0
3.966 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.967 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.967 * [backup-simplify]: Simplify (+ 0 0) into 0
3.967 * [backup-simplify]: Simplify (+ 0) into 0
3.967 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.968 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.968 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.969 * [backup-simplify]: Simplify (+ 0) into 0
3.969 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.970 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.970 * [backup-simplify]: Simplify (+ 0 0) into 0
3.970 * [backup-simplify]: Simplify (+ 0) into 0
3.971 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.971 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.972 * [backup-simplify]: Simplify (+ 0 0) into 0
3.972 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.972 * [backup-simplify]: Simplify (+ 0 0) into 0
3.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.972 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.972 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.972 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.972 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.973 * [backup-simplify]: Simplify (+ 0) into 0
3.973 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.973 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.974 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.974 * [backup-simplify]: Simplify (+ 0 0) into 0
3.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.975 * [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))
3.975 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.975 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.975 * [taylor]: Taking taylor expansion of (sin th) in th
3.975 * [taylor]: Taking taylor expansion of th in th
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [taylor]: Taking taylor expansion of (sin ky) in th
3.975 * [taylor]: Taking taylor expansion of ky in th
3.975 * [backup-simplify]: Simplify ky into ky
3.975 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.975 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.975 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.975 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.975 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.975 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.975 * [taylor]: Taking taylor expansion of (sin ky) in th
3.975 * [taylor]: Taking taylor expansion of ky in th
3.975 * [backup-simplify]: Simplify ky into ky
3.975 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.976 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.976 * [taylor]: Taking taylor expansion of (sin ky) in th
3.976 * [taylor]: Taking taylor expansion of ky in th
3.976 * [backup-simplify]: Simplify ky into ky
3.976 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.976 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.976 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.976 * [taylor]: Taking taylor expansion of (sin kx) in th
3.976 * [taylor]: Taking taylor expansion of kx in th
3.976 * [backup-simplify]: Simplify kx into kx
3.976 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.976 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.976 * [taylor]: Taking taylor expansion of (sin kx) in th
3.976 * [taylor]: Taking taylor expansion of kx in th
3.976 * [backup-simplify]: Simplify kx into kx
3.976 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.976 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.976 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.976 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.976 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.976 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.976 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.976 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.976 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.976 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.976 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.976 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.976 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.976 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.976 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.976 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.977 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.977 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.977 * [backup-simplify]: Simplify (+ 0) into 0
3.977 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.978 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.978 * [backup-simplify]: Simplify (+ 0 0) into 0
3.979 * [backup-simplify]: Simplify (+ 0) into 0
3.979 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.980 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.980 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.980 * [backup-simplify]: Simplify (+ 0) into 0
3.981 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.981 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.982 * [backup-simplify]: Simplify (+ 0 0) into 0
3.982 * [backup-simplify]: Simplify (+ 0) into 0
3.982 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.983 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.983 * [backup-simplify]: Simplify (+ 0 0) into 0
3.983 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.984 * [backup-simplify]: Simplify (+ 0 0) into 0
3.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.984 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.984 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.984 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.984 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.984 * [backup-simplify]: Simplify (+ 0) into 0
3.984 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.985 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.986 * [backup-simplify]: Simplify (+ 0 0) into 0
3.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.986 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.987 * [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))
3.987 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.987 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.987 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.987 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.987 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.987 * [taylor]: Taking taylor expansion of ky in ky
3.987 * [backup-simplify]: Simplify 0 into 0
3.987 * [backup-simplify]: Simplify 1 into 1
3.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.988 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.988 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.988 * [taylor]: Taking taylor expansion of kx in ky
3.988 * [backup-simplify]: Simplify kx into kx
3.988 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.988 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.988 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.988 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.988 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.988 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.988 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.988 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.988 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.988 * [backup-simplify]: Simplify (+ 0) into 0
3.989 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.989 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.990 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.990 * [backup-simplify]: Simplify (+ 0 0) into 0
3.990 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.990 * [backup-simplify]: Simplify (+ 0 0) into 0
3.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.990 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.990 * [taylor]: Taking taylor expansion of ky in ky
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.991 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
3.991 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.991 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.991 * [taylor]: Taking taylor expansion of kx in kx
3.991 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify 1 into 1
3.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.992 * [backup-simplify]: Simplify (/ 1 1) into 1
3.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.993 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.994 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.995 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.995 * [backup-simplify]: Simplify (+ 0 0) into 0
3.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
3.998 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into 0
3.998 * [taylor]: Taking taylor expansion of 0 in ky
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [taylor]: Taking taylor expansion of 0 in kx
3.998 * [backup-simplify]: Simplify 0 into 0
3.998 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.999 * [backup-simplify]: Simplify (* 1 1) into 1
4.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.001 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.002 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.002 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.003 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
4.004 * [backup-simplify]: Simplify (+ 1 0) into 1
4.004 * [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)))
4.005 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
4.006 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
4.006 * [taylor]: Taking taylor expansion of 0 in kx
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
4.008 * [backup-simplify]: Simplify 1/6 into 1/6
4.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.010 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.012 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.013 * [backup-simplify]: Simplify (+ 0 0) into 0
4.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
4.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.017 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
4.018 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.018 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
4.019 * [backup-simplify]: Simplify (+ 0 0) into 0
4.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.020 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
4.021 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.022 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.023 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
4.023 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.024 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.025 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.025 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.026 * [backup-simplify]: Simplify (+ 0 0) into 0
4.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.027 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.029 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.029 * [backup-simplify]: Simplify (+ 0 0) into 0
4.030 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
4.030 * [backup-simplify]: Simplify (+ 0 0) into 0
4.031 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
4.032 * [backup-simplify]: Simplify (- (/ (- (* 1/6 (sin ky))) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))
4.032 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
4.032 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
4.032 * [taylor]: Taking taylor expansion of 1/6 in ky
4.032 * [backup-simplify]: Simplify 1/6 into 1/6
4.032 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
4.032 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
4.032 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
4.032 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
4.032 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
4.032 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.032 * [taylor]: Taking taylor expansion of ky in ky
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.033 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
4.033 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.033 * [taylor]: Taking taylor expansion of kx in ky
4.033 * [backup-simplify]: Simplify kx into kx
4.033 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.033 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.033 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.034 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.034 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.034 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
4.034 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
4.034 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
4.034 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
4.035 * [backup-simplify]: Simplify (+ 0) into 0
4.035 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.036 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.036 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.037 * [backup-simplify]: Simplify (+ 0 0) into 0
4.037 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
4.037 * [backup-simplify]: Simplify (+ 0 0) into 0
4.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
4.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
4.038 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.038 * [taylor]: Taking taylor expansion of ky in ky
4.038 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify 1 into 1
4.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.039 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
4.039 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
4.040 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
4.040 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
4.040 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
4.040 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
4.040 * [taylor]: Taking taylor expansion of 1/6 in kx
4.040 * [backup-simplify]: Simplify 1/6 into 1/6
4.040 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
4.040 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.040 * [taylor]: Taking taylor expansion of kx in kx
4.040 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify 1 into 1
4.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.041 * [backup-simplify]: Simplify (/ 1 1) into 1
4.042 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.044 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
4.044 * [backup-simplify]: Simplify (- 0) into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [taylor]: Taking taylor expansion of 0 in kx
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.048 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.049 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.052 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.052 * [backup-simplify]: Simplify (+ 0 0) into 0
4.053 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
4.053 * [backup-simplify]: Simplify (+ 0 0) into 0
4.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))) (* 0 (/ 1 (pow (sin kx) 2))) (* (- (/ 1 (pow (sin kx) 4))) (/ 0 (pow (sin kx) 2))))) into 0
4.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
4.055 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) -1/6) (+ (* 0 0) (+ (* (/ -1/2 (pow (sin kx) 3)) 1) (* 0 0)))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
4.055 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
4.055 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
4.055 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
4.055 * [taylor]: Taking taylor expansion of 1/6 in kx
4.055 * [backup-simplify]: Simplify 1/6 into 1/6
4.055 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
4.055 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.055 * [taylor]: Taking taylor expansion of kx in kx
4.056 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify 1 into 1
4.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.057 * [backup-simplify]: Simplify (/ 1 1) into 1
4.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
4.057 * [taylor]: Taking taylor expansion of 1/2 in kx
4.057 * [backup-simplify]: Simplify 1/2 into 1/2
4.057 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
4.057 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
4.057 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.057 * [taylor]: Taking taylor expansion of kx in kx
4.057 * [backup-simplify]: Simplify 0 into 0
4.057 * [backup-simplify]: Simplify 1 into 1
4.057 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.058 * [backup-simplify]: Simplify (* 1 1) into 1
4.058 * [backup-simplify]: Simplify (* 1 1) into 1
4.059 * [backup-simplify]: Simplify (/ 1 1) into 1
4.059 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.066 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
4.068 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.070 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
4.072 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
4.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.077 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
4.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
4.081 * [backup-simplify]: Simplify (+ 0 0) into 0
4.081 * [backup-simplify]: Simplify (- 0) into 0
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
4.084 * [backup-simplify]: Simplify 0 into 0
4.084 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
4.085 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
4.085 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
4.085 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
4.085 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
4.085 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
4.085 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
4.085 * [taylor]: Taking taylor expansion of th in kx
4.085 * [backup-simplify]: Simplify th into th
4.085 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.085 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.085 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.085 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.085 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.085 * [taylor]: Taking taylor expansion of ky in kx
4.085 * [backup-simplify]: Simplify ky into ky
4.085 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.085 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.085 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.085 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
4.086 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.086 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
4.086 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
4.086 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.086 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.086 * [taylor]: Taking taylor expansion of ky in kx
4.086 * [backup-simplify]: Simplify ky into ky
4.086 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.086 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.086 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.086 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.086 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.086 * [taylor]: Taking taylor expansion of ky in kx
4.086 * [backup-simplify]: Simplify ky into ky
4.086 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.086 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.086 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.086 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
4.086 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.086 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.086 * [taylor]: Taking taylor expansion of kx in kx
4.086 * [backup-simplify]: Simplify 0 into 0
4.086 * [backup-simplify]: Simplify 1 into 1
4.087 * [backup-simplify]: Simplify (/ 1 1) into 1
4.087 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.087 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.087 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.087 * [taylor]: Taking taylor expansion of kx in kx
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (/ 1 1) into 1
4.088 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.088 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.088 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.088 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.088 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.088 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.089 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.089 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.089 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.089 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.089 * [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)))
4.090 * [backup-simplify]: Simplify (+ 0) into 0
4.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.092 * [backup-simplify]: Simplify (+ 0 0) into 0
4.092 * [backup-simplify]: Simplify (+ 0) into 0
4.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.094 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.095 * [backup-simplify]: Simplify (+ 0 0) into 0
4.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.096 * [backup-simplify]: Simplify (+ 0 0) into 0
4.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.096 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.096 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.096 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.096 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.097 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.097 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.097 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.097 * [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)))))
4.097 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
4.097 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
4.097 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
4.097 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
4.097 * [taylor]: Taking taylor expansion of th in ky
4.097 * [backup-simplify]: Simplify th into th
4.097 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.097 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.098 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.098 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.098 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.098 * [taylor]: Taking taylor expansion of ky in ky
4.098 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify 1 into 1
4.098 * [backup-simplify]: Simplify (/ 1 1) into 1
4.098 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.098 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
4.098 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.098 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
4.098 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
4.098 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.098 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.098 * [taylor]: Taking taylor expansion of ky in ky
4.098 * [backup-simplify]: Simplify 0 into 0
4.098 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.099 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.099 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.099 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.099 * [taylor]: Taking taylor expansion of ky in ky
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (/ 1 1) into 1
4.099 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.100 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
4.100 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.100 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.100 * [taylor]: Taking taylor expansion of kx in ky
4.100 * [backup-simplify]: Simplify kx into kx
4.100 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.100 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.100 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.100 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.100 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.100 * [taylor]: Taking taylor expansion of kx in ky
4.100 * [backup-simplify]: Simplify kx into kx
4.100 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.100 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.100 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.100 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.100 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.100 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.100 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.101 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.101 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.101 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.101 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.101 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.101 * [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)))
4.101 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.102 * [backup-simplify]: Simplify (+ 0) into 0
4.102 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.104 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.104 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [backup-simplify]: Simplify (+ 0) into 0
4.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.106 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.107 * [backup-simplify]: Simplify (+ 0 0) into 0
4.107 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.107 * [backup-simplify]: Simplify (+ 0 0) into 0
4.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.108 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.108 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.108 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.108 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.108 * [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)))))
4.108 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
4.108 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
4.108 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
4.108 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.108 * [taylor]: Taking taylor expansion of th in th
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.109 * [backup-simplify]: Simplify (/ 1 1) into 1
4.109 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.109 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.109 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.109 * [taylor]: Taking taylor expansion of ky in th
4.109 * [backup-simplify]: Simplify ky into ky
4.109 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.109 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.109 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.109 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
4.109 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.109 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
4.109 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
4.109 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.110 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.110 * [taylor]: Taking taylor expansion of ky in th
4.110 * [backup-simplify]: Simplify ky into ky
4.110 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.110 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.110 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.110 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.110 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.110 * [taylor]: Taking taylor expansion of ky in th
4.110 * [backup-simplify]: Simplify ky into ky
4.110 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.110 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.110 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.110 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
4.110 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.110 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.110 * [taylor]: Taking taylor expansion of kx in th
4.110 * [backup-simplify]: Simplify kx into kx
4.110 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.110 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.110 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.110 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.110 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.110 * [taylor]: Taking taylor expansion of kx in th
4.110 * [backup-simplify]: Simplify kx into kx
4.110 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.110 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.111 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.111 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.111 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.111 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.111 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.111 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.112 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.112 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.112 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.112 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.112 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.112 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.112 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.112 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.112 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.112 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.113 * [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)))
4.113 * [backup-simplify]: Simplify (+ 0) into 0
4.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.115 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.116 * [backup-simplify]: Simplify (+ 0 0) into 0
4.116 * [backup-simplify]: Simplify (+ 0) into 0
4.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.118 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.118 * [backup-simplify]: Simplify (+ 0 0) into 0
4.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.119 * [backup-simplify]: Simplify (+ 0) into 0
4.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.121 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.121 * [backup-simplify]: Simplify (+ 0 0) into 0
4.121 * [backup-simplify]: Simplify (+ 0) into 0
4.122 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.123 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.123 * [backup-simplify]: Simplify (+ 0 0) into 0
4.124 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.124 * [backup-simplify]: Simplify (+ 0 0) into 0
4.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.124 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.124 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.125 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.125 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.125 * [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)))))
4.125 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
4.125 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
4.125 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
4.125 * [taylor]: Taking taylor expansion of (/ 1 th) in th
4.125 * [taylor]: Taking taylor expansion of th in th
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 1 into 1
4.126 * [backup-simplify]: Simplify (/ 1 1) into 1
4.126 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.126 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.126 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.126 * [taylor]: Taking taylor expansion of ky in th
4.126 * [backup-simplify]: Simplify ky into ky
4.126 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.126 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.126 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.126 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
4.126 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.126 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
4.126 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
4.126 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.126 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.126 * [taylor]: Taking taylor expansion of ky in th
4.126 * [backup-simplify]: Simplify ky into ky
4.126 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.126 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.126 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
4.127 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
4.127 * [taylor]: Taking taylor expansion of ky in th
4.127 * [backup-simplify]: Simplify ky into ky
4.127 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.127 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.127 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.127 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.127 * [taylor]: Taking taylor expansion of kx in th
4.127 * [backup-simplify]: Simplify kx into kx
4.127 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.127 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.127 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.127 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
4.127 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
4.127 * [taylor]: Taking taylor expansion of kx in th
4.127 * [backup-simplify]: Simplify kx into kx
4.127 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.127 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.127 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.127 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.127 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.128 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.128 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.128 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.128 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.128 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.128 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.128 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.128 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.128 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.128 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.128 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.129 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.129 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.129 * [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)))
4.130 * [backup-simplify]: Simplify (+ 0) into 0
4.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.131 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.132 * [backup-simplify]: Simplify (+ 0 0) into 0
4.132 * [backup-simplify]: Simplify (+ 0) into 0
4.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.134 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.134 * [backup-simplify]: Simplify (+ 0 0) into 0
4.135 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.135 * [backup-simplify]: Simplify (+ 0) into 0
4.135 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.136 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.137 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.137 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [backup-simplify]: Simplify (+ 0) into 0
4.138 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.139 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.140 * [backup-simplify]: Simplify (+ 0 0) into 0
4.140 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.141 * [backup-simplify]: Simplify (+ 0 0) into 0
4.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.141 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.141 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.141 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.141 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.142 * [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)))))
4.142 * [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
4.142 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
4.142 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
4.142 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
4.142 * [taylor]: Taking taylor expansion of th in ky
4.142 * [backup-simplify]: Simplify th into th
4.142 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.142 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.142 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.142 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.142 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.142 * [taylor]: Taking taylor expansion of ky in ky
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (/ 1 1) into 1
4.143 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
4.143 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
4.143 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
4.143 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
4.143 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.143 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.143 * [taylor]: Taking taylor expansion of kx in ky
4.143 * [backup-simplify]: Simplify kx into kx
4.143 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.143 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.143 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.143 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.144 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.144 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.144 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
4.144 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.144 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.144 * [taylor]: Taking taylor expansion of ky in ky
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 1 into 1
4.144 * [backup-simplify]: Simplify (/ 1 1) into 1
4.144 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.144 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.144 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.145 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.145 * [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)))
4.145 * [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))))
4.146 * [backup-simplify]: Simplify (+ 0) into 0
4.146 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.148 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.148 * [backup-simplify]: Simplify (+ 0 0) into 0
4.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.148 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.149 * [backup-simplify]: Simplify (+ 0 0) into 0
4.149 * [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
4.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
4.150 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.150 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.150 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.150 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.150 * [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)))))
4.150 * [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
4.150 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
4.150 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
4.150 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
4.150 * [taylor]: Taking taylor expansion of th in kx
4.150 * [backup-simplify]: Simplify th into th
4.151 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
4.151 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
4.151 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
4.151 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.151 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.151 * [taylor]: Taking taylor expansion of ky in kx
4.151 * [backup-simplify]: Simplify ky into ky
4.151 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.151 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.151 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
4.151 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
4.151 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
4.151 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
4.151 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.151 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.151 * [taylor]: Taking taylor expansion of kx in kx
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.152 * [backup-simplify]: Simplify (/ 1 1) into 1
4.152 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.152 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
4.152 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.152 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.152 * [taylor]: Taking taylor expansion of ky in kx
4.152 * [backup-simplify]: Simplify ky into ky
4.152 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.152 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.152 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.152 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.152 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.152 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.153 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.153 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.153 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.153 * [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)))
4.154 * [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))))
4.154 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.154 * [backup-simplify]: Simplify (+ 0) into 0
4.155 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.156 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.157 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.157 * [backup-simplify]: Simplify (+ 0 0) into 0
4.158 * [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
4.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
4.158 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
4.158 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
4.158 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
4.158 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.159 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.159 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.159 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
4.159 * [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)))))
4.160 * [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)))))
4.160 * [backup-simplify]: Simplify (+ 0) into 0
4.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.162 * [backup-simplify]: Simplify (+ 0 0) into 0
4.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.164 * [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
4.164 * [taylor]: Taking taylor expansion of 0 in ky
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [taylor]: Taking taylor expansion of 0 in kx
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify (+ 0) into 0
4.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
4.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.167 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
4.167 * [backup-simplify]: Simplify (+ 0 0) into 0
4.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.167 * [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
4.167 * [taylor]: Taking taylor expansion of 0 in kx
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify (+ 0) into 0
4.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.169 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.169 * [backup-simplify]: Simplify (+ 0 0) into 0
4.169 * [backup-simplify]: Simplify (+ 0) into 0
4.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
4.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
4.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.170 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
4.171 * [backup-simplify]: Simplify (+ 0 0) into 0
4.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.171 * [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
4.172 * [backup-simplify]: Simplify 0 into 0
4.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.174 * [backup-simplify]: Simplify (+ 0 0) into 0
4.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.176 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.176 * [backup-simplify]: Simplify (+ 0 0) into 0
4.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.178 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.178 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.178 * [backup-simplify]: Simplify (+ 0 0) into 0
4.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.181 * [backup-simplify]: Simplify (+ 0 0) into 0
4.181 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.183 * [backup-simplify]: Simplify (+ 0 0) into 0
4.183 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.183 * [backup-simplify]: Simplify (+ 0 0) into 0
4.184 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.185 * [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
4.185 * [taylor]: Taking taylor expansion of 0 in ky
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [taylor]: Taking taylor expansion of 0 in kx
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [taylor]: Taking taylor expansion of 0 in kx
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.187 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.187 * [backup-simplify]: Simplify (+ 0 0) into 0
4.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.188 * [backup-simplify]: Simplify (+ 0 0) into 0
4.189 * [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
4.189 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
4.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.191 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.191 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.191 * [backup-simplify]: Simplify (+ 0 0) into 0
4.192 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.192 * [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
4.192 * [taylor]: Taking taylor expansion of 0 in kx
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 0 into 0
4.193 * [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)))
4.193 * [backup-simplify]: Simplify (* (sin (/ 1 (- th))) (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
4.193 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
4.193 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
4.193 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
4.193 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
4.193 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
4.193 * [taylor]: Taking taylor expansion of -1 in kx
4.193 * [backup-simplify]: Simplify -1 into -1
4.193 * [taylor]: Taking taylor expansion of th in kx
4.193 * [backup-simplify]: Simplify th into th
4.193 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.193 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.193 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.193 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.193 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.193 * [taylor]: Taking taylor expansion of -1 in kx
4.193 * [backup-simplify]: Simplify -1 into -1
4.193 * [taylor]: Taking taylor expansion of ky in kx
4.193 * [backup-simplify]: Simplify ky into ky
4.193 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.193 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.193 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.193 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
4.193 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.194 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
4.194 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
4.194 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.194 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.194 * [taylor]: Taking taylor expansion of -1 in kx
4.194 * [backup-simplify]: Simplify -1 into -1
4.194 * [taylor]: Taking taylor expansion of ky in kx
4.194 * [backup-simplify]: Simplify ky into ky
4.194 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.194 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.194 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.194 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.194 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.194 * [taylor]: Taking taylor expansion of -1 in kx
4.194 * [backup-simplify]: Simplify -1 into -1
4.194 * [taylor]: Taking taylor expansion of ky in kx
4.194 * [backup-simplify]: Simplify ky into ky
4.194 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.194 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.194 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.194 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
4.194 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.194 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.194 * [taylor]: Taking taylor expansion of -1 in kx
4.194 * [backup-simplify]: Simplify -1 into -1
4.194 * [taylor]: Taking taylor expansion of kx in kx
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify 1 into 1
4.195 * [backup-simplify]: Simplify (/ -1 1) into -1
4.195 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.195 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.195 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.195 * [taylor]: Taking taylor expansion of -1 in kx
4.195 * [backup-simplify]: Simplify -1 into -1
4.195 * [taylor]: Taking taylor expansion of kx in kx
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 1 into 1
4.195 * [backup-simplify]: Simplify (/ -1 1) into -1
4.195 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.195 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.196 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.196 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.196 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.196 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.196 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.196 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.196 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.196 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.197 * [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)))
4.197 * [backup-simplify]: Simplify (+ 0) into 0
4.198 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.198 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.199 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.200 * [backup-simplify]: Simplify (+ 0 0) into 0
4.200 * [backup-simplify]: Simplify (+ 0) into 0
4.200 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.201 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.202 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.202 * [backup-simplify]: Simplify (+ 0 0) into 0
4.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.202 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.207 * [backup-simplify]: Simplify (+ 0 0) into 0
4.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.208 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.208 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.208 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.208 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.208 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.208 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.208 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.209 * [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)))))
4.209 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
4.209 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
4.209 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
4.209 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
4.209 * [taylor]: Taking taylor expansion of -1 in ky
4.209 * [backup-simplify]: Simplify -1 into -1
4.209 * [taylor]: Taking taylor expansion of th in ky
4.209 * [backup-simplify]: Simplify th into th
4.209 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.209 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.209 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.209 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.209 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.209 * [taylor]: Taking taylor expansion of -1 in ky
4.209 * [backup-simplify]: Simplify -1 into -1
4.209 * [taylor]: Taking taylor expansion of ky in ky
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.210 * [backup-simplify]: Simplify (/ -1 1) into -1
4.210 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.210 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
4.211 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.211 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
4.211 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
4.211 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.211 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.211 * [taylor]: Taking taylor expansion of -1 in ky
4.211 * [backup-simplify]: Simplify -1 into -1
4.211 * [taylor]: Taking taylor expansion of ky in ky
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (/ -1 1) into -1
4.211 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.211 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.212 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.212 * [taylor]: Taking taylor expansion of -1 in ky
4.212 * [backup-simplify]: Simplify -1 into -1
4.212 * [taylor]: Taking taylor expansion of ky in ky
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.212 * [backup-simplify]: Simplify (/ -1 1) into -1
4.212 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.212 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
4.212 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.212 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.212 * [taylor]: Taking taylor expansion of -1 in ky
4.212 * [backup-simplify]: Simplify -1 into -1
4.212 * [taylor]: Taking taylor expansion of kx in ky
4.212 * [backup-simplify]: Simplify kx into kx
4.212 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.213 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.213 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.213 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.213 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.213 * [taylor]: Taking taylor expansion of -1 in ky
4.213 * [backup-simplify]: Simplify -1 into -1
4.213 * [taylor]: Taking taylor expansion of kx in ky
4.213 * [backup-simplify]: Simplify kx into kx
4.213 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.213 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.213 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.213 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.213 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.213 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.214 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.214 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.214 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.214 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.214 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.214 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.215 * [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)))
4.215 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.215 * [backup-simplify]: Simplify (+ 0) into 0
4.216 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.216 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.217 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.218 * [backup-simplify]: Simplify (+ 0 0) into 0
4.218 * [backup-simplify]: Simplify (+ 0) into 0
4.218 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.219 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.220 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.220 * [backup-simplify]: Simplify (+ 0 0) into 0
4.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.221 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.221 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.221 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.221 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.222 * [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)))))
4.222 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
4.222 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
4.222 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
4.222 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.222 * [taylor]: Taking taylor expansion of -1 in th
4.222 * [backup-simplify]: Simplify -1 into -1
4.222 * [taylor]: Taking taylor expansion of th in th
4.222 * [backup-simplify]: Simplify 0 into 0
4.222 * [backup-simplify]: Simplify 1 into 1
4.223 * [backup-simplify]: Simplify (/ -1 1) into -1
4.223 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.223 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.223 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.223 * [taylor]: Taking taylor expansion of -1 in th
4.223 * [backup-simplify]: Simplify -1 into -1
4.223 * [taylor]: Taking taylor expansion of ky in th
4.223 * [backup-simplify]: Simplify ky into ky
4.223 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.223 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.223 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.223 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
4.224 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.224 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
4.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
4.224 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.224 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.224 * [taylor]: Taking taylor expansion of -1 in th
4.224 * [backup-simplify]: Simplify -1 into -1
4.224 * [taylor]: Taking taylor expansion of ky in th
4.224 * [backup-simplify]: Simplify ky into ky
4.224 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.224 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.224 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.224 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.224 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.224 * [taylor]: Taking taylor expansion of -1 in th
4.224 * [backup-simplify]: Simplify -1 into -1
4.224 * [taylor]: Taking taylor expansion of ky in th
4.224 * [backup-simplify]: Simplify ky into ky
4.224 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.224 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.224 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
4.224 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.224 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.225 * [taylor]: Taking taylor expansion of -1 in th
4.225 * [backup-simplify]: Simplify -1 into -1
4.225 * [taylor]: Taking taylor expansion of kx in th
4.225 * [backup-simplify]: Simplify kx into kx
4.225 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.225 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.225 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.225 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.225 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.225 * [taylor]: Taking taylor expansion of -1 in th
4.225 * [backup-simplify]: Simplify -1 into -1
4.225 * [taylor]: Taking taylor expansion of kx in th
4.225 * [backup-simplify]: Simplify kx into kx
4.225 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.225 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.225 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.225 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.225 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.225 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.225 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.226 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.226 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.226 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.226 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.226 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.226 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.226 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.226 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.226 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.226 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.227 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.227 * [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)))
4.227 * [backup-simplify]: Simplify (+ 0) into 0
4.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.228 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.229 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.230 * [backup-simplify]: Simplify (+ 0 0) into 0
4.230 * [backup-simplify]: Simplify (+ 0) into 0
4.230 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.231 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.232 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.232 * [backup-simplify]: Simplify (+ 0 0) into 0
4.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.233 * [backup-simplify]: Simplify (+ 0) into 0
4.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.233 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.235 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.235 * [backup-simplify]: Simplify (+ 0 0) into 0
4.235 * [backup-simplify]: Simplify (+ 0) into 0
4.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.236 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.237 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.237 * [backup-simplify]: Simplify (+ 0 0) into 0
4.238 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.238 * [backup-simplify]: Simplify (+ 0 0) into 0
4.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.238 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.238 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.239 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.239 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.239 * [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)))))
4.239 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
4.239 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
4.239 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
4.239 * [taylor]: Taking taylor expansion of (/ -1 th) in th
4.239 * [taylor]: Taking taylor expansion of -1 in th
4.239 * [backup-simplify]: Simplify -1 into -1
4.239 * [taylor]: Taking taylor expansion of th in th
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 1 into 1
4.240 * [backup-simplify]: Simplify (/ -1 1) into -1
4.240 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.240 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.240 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.240 * [taylor]: Taking taylor expansion of -1 in th
4.240 * [backup-simplify]: Simplify -1 into -1
4.240 * [taylor]: Taking taylor expansion of ky in th
4.240 * [backup-simplify]: Simplify ky into ky
4.240 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.240 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.240 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.240 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
4.240 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.240 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
4.240 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
4.240 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.240 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.240 * [taylor]: Taking taylor expansion of -1 in th
4.240 * [backup-simplify]: Simplify -1 into -1
4.240 * [taylor]: Taking taylor expansion of ky in th
4.241 * [backup-simplify]: Simplify ky into ky
4.241 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.241 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.241 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.241 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
4.241 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
4.241 * [taylor]: Taking taylor expansion of -1 in th
4.241 * [backup-simplify]: Simplify -1 into -1
4.241 * [taylor]: Taking taylor expansion of ky in th
4.241 * [backup-simplify]: Simplify ky into ky
4.241 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.241 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.241 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.241 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
4.241 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.241 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.241 * [taylor]: Taking taylor expansion of -1 in th
4.241 * [backup-simplify]: Simplify -1 into -1
4.241 * [taylor]: Taking taylor expansion of kx in th
4.241 * [backup-simplify]: Simplify kx into kx
4.241 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.241 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.241 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.241 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
4.241 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
4.241 * [taylor]: Taking taylor expansion of -1 in th
4.241 * [backup-simplify]: Simplify -1 into -1
4.241 * [taylor]: Taking taylor expansion of kx in th
4.242 * [backup-simplify]: Simplify kx into kx
4.242 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.242 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.242 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.242 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.242 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.242 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.242 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.242 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.242 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.242 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.242 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.242 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.243 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.243 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.243 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.243 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.243 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.243 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.243 * [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)))
4.244 * [backup-simplify]: Simplify (+ 0) into 0
4.245 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.245 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.246 * [backup-simplify]: Simplify (+ 0 0) into 0
4.247 * [backup-simplify]: Simplify (+ 0) into 0
4.247 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.247 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.248 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.249 * [backup-simplify]: Simplify (+ 0 0) into 0
4.249 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.249 * [backup-simplify]: Simplify (+ 0) into 0
4.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.250 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.252 * [backup-simplify]: Simplify (+ 0 0) into 0
4.252 * [backup-simplify]: Simplify (+ 0) into 0
4.252 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.253 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.254 * [backup-simplify]: Simplify (+ 0 0) into 0
4.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.255 * [backup-simplify]: Simplify (+ 0 0) into 0
4.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.255 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.255 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.255 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.255 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.256 * [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)))))
4.256 * [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
4.256 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
4.256 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
4.256 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
4.256 * [taylor]: Taking taylor expansion of -1 in ky
4.256 * [backup-simplify]: Simplify -1 into -1
4.256 * [taylor]: Taking taylor expansion of th in ky
4.256 * [backup-simplify]: Simplify th into th
4.256 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.256 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.256 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.256 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.256 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.257 * [taylor]: Taking taylor expansion of -1 in ky
4.257 * [backup-simplify]: Simplify -1 into -1
4.257 * [taylor]: Taking taylor expansion of ky in ky
4.257 * [backup-simplify]: Simplify 0 into 0
4.257 * [backup-simplify]: Simplify 1 into 1
4.257 * [backup-simplify]: Simplify (/ -1 1) into -1
4.257 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
4.257 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
4.258 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
4.258 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
4.258 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.258 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.258 * [taylor]: Taking taylor expansion of -1 in ky
4.258 * [backup-simplify]: Simplify -1 into -1
4.258 * [taylor]: Taking taylor expansion of kx in ky
4.258 * [backup-simplify]: Simplify kx into kx
4.258 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.258 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.258 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.258 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.258 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.258 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.258 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
4.258 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.258 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.258 * [taylor]: Taking taylor expansion of -1 in ky
4.258 * [backup-simplify]: Simplify -1 into -1
4.258 * [taylor]: Taking taylor expansion of ky in ky
4.258 * [backup-simplify]: Simplify 0 into 0
4.258 * [backup-simplify]: Simplify 1 into 1
4.259 * [backup-simplify]: Simplify (/ -1 1) into -1
4.259 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.259 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.259 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.259 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.260 * [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)))
4.260 * [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))))
4.260 * [backup-simplify]: Simplify (+ 0) into 0
4.261 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.261 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.262 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.263 * [backup-simplify]: Simplify (+ 0 0) into 0
4.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.263 * [backup-simplify]: Simplify (+ 0 0) into 0
4.264 * [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
4.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
4.264 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.265 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.265 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.265 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.265 * [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)))))
4.265 * [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
4.265 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
4.265 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
4.265 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
4.265 * [taylor]: Taking taylor expansion of -1 in kx
4.265 * [backup-simplify]: Simplify -1 into -1
4.265 * [taylor]: Taking taylor expansion of th in kx
4.265 * [backup-simplify]: Simplify th into th
4.265 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
4.265 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
4.266 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
4.266 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.266 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.266 * [taylor]: Taking taylor expansion of -1 in kx
4.266 * [backup-simplify]: Simplify -1 into -1
4.266 * [taylor]: Taking taylor expansion of ky in kx
4.266 * [backup-simplify]: Simplify ky into ky
4.266 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.266 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.266 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
4.266 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
4.266 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
4.266 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
4.266 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.266 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.266 * [taylor]: Taking taylor expansion of -1 in kx
4.266 * [backup-simplify]: Simplify -1 into -1
4.266 * [taylor]: Taking taylor expansion of kx in kx
4.266 * [backup-simplify]: Simplify 0 into 0
4.266 * [backup-simplify]: Simplify 1 into 1
4.267 * [backup-simplify]: Simplify (/ -1 1) into -1
4.267 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.267 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
4.267 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.267 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.267 * [taylor]: Taking taylor expansion of -1 in kx
4.267 * [backup-simplify]: Simplify -1 into -1
4.267 * [taylor]: Taking taylor expansion of ky in kx
4.267 * [backup-simplify]: Simplify ky into ky
4.267 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.267 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.267 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.267 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.267 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.267 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.268 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.268 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.268 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.268 * [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)))
4.269 * [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))))
4.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.269 * [backup-simplify]: Simplify (+ 0) into 0
4.270 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.270 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.272 * [backup-simplify]: Simplify (+ 0 0) into 0
4.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.272 * [backup-simplify]: Simplify (+ 0 0) into 0
4.273 * [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
4.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
4.273 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
4.273 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
4.274 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
4.274 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.274 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.274 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.274 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
4.274 * [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)))))
4.275 * [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)))))
4.275 * [backup-simplify]: Simplify (+ 0) into 0
4.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.276 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.277 * [backup-simplify]: Simplify (+ 0 0) into 0
4.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.279 * [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
4.279 * [taylor]: Taking taylor expansion of 0 in ky
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [taylor]: Taking taylor expansion of 0 in kx
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify (+ 0) into 0
4.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
4.280 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
4.281 * [backup-simplify]: Simplify (+ 0 0) into 0
4.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.282 * [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
4.283 * [taylor]: Taking taylor expansion of 0 in kx
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify (+ 0) into 0
4.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.284 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.285 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.285 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.286 * [backup-simplify]: Simplify (+ 0 0) into 0
4.286 * [backup-simplify]: Simplify (+ 0) into 0
4.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
4.287 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
4.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
4.288 * [backup-simplify]: Simplify (+ 0 0) into 0
4.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.289 * [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
4.289 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.291 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.292 * [backup-simplify]: Simplify (+ 0 0) into 0
4.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.293 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.294 * [backup-simplify]: Simplify (+ 0 0) into 0
4.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.295 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.296 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.296 * [backup-simplify]: Simplify (+ 0 0) into 0
4.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.297 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.298 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.298 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.299 * [backup-simplify]: Simplify (+ 0 0) into 0
4.299 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.300 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.301 * [backup-simplify]: Simplify (+ 0 0) into 0
4.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.301 * [backup-simplify]: Simplify (+ 0 0) into 0
4.302 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.303 * [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
4.303 * [taylor]: Taking taylor expansion of 0 in ky
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [taylor]: Taking taylor expansion of 0 in kx
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [taylor]: Taking taylor expansion of 0 in kx
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.304 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.307 * [backup-simplify]: Simplify (+ 0 0) into 0
4.307 * [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
4.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
4.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
4.309 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
4.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
4.310 * [backup-simplify]: Simplify (+ 0 0) into 0
4.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.311 * [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
4.311 * [taylor]: Taking taylor expansion of 0 in kx
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 0 into 0
4.312 * [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)))
4.312 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2)
4.312 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
4.312 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
4.312 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
4.312 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
4.312 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
4.312 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
4.312 * [taylor]: Taking taylor expansion of (sin ky) in kx
4.312 * [taylor]: Taking taylor expansion of ky in kx
4.312 * [backup-simplify]: Simplify ky into ky
4.312 * [backup-simplify]: Simplify (sin ky) into (sin ky)
4.312 * [backup-simplify]: Simplify (cos ky) into (cos ky)
4.312 * [taylor]: Taking taylor expansion of (sin ky) in kx
4.312 * [taylor]: Taking taylor expansion of ky in kx
4.312 * [backup-simplify]: Simplify ky into ky
4.312 * [backup-simplify]: Simplify (sin ky) into (sin ky)
4.312 * [backup-simplify]: Simplify (cos ky) into (cos ky)
4.312 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
4.312 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.312 * [taylor]: Taking taylor expansion of kx in kx
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify 1 into 1
4.312 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.312 * [taylor]: Taking taylor expansion of kx in kx
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify 1 into 1
4.313 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
4.313 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
4.313 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
4.313 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
4.313 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
4.313 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
4.313 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
4.313 * [backup-simplify]: Simplify (* 0 0) into 0
4.313 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
4.313 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
4.313 * [backup-simplify]: Simplify (+ 0) into 0
4.314 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
4.314 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.315 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
4.315 * [backup-simplify]: Simplify (+ 0 0) into 0
4.315 * [backup-simplify]: Simplify (+ 0) into 0
4.315 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
4.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.316 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
4.316 * [backup-simplify]: Simplify (+ 0 0) into 0
4.317 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
4.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.318 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.318 * [backup-simplify]: Simplify (+ 0 0) into 0
4.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
4.318 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
4.318 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
4.318 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
4.318 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
4.318 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.318 * [taylor]: Taking taylor expansion of ky in ky
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.318 * [taylor]: Taking taylor expansion of ky in ky
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
4.319 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.319 * [taylor]: Taking taylor expansion of kx in ky
4.319 * [backup-simplify]: Simplify kx into kx
4.319 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.319 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.319 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.319 * [taylor]: Taking taylor expansion of kx in ky
4.319 * [backup-simplify]: Simplify kx into kx
4.319 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.319 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.319 * [backup-simplify]: Simplify (* 0 0) into 0
4.319 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.319 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.319 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.319 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.320 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.320 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.320 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
4.320 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
4.320 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
4.321 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.321 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.322 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.322 * [backup-simplify]: Simplify (+ 0) into 0
4.323 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.324 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.324 * [backup-simplify]: Simplify (+ 0 0) into 0
4.325 * [backup-simplify]: Simplify (+ 0) into 0
4.325 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.326 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.327 * [backup-simplify]: Simplify (+ 0 0) into 0
4.327 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
4.327 * [backup-simplify]: Simplify (+ 0 0) into 0
4.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
4.328 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
4.328 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
4.328 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
4.328 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
4.328 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.328 * [taylor]: Taking taylor expansion of ky in ky
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 1 into 1
4.328 * [taylor]: Taking taylor expansion of (sin ky) in ky
4.328 * [taylor]: Taking taylor expansion of ky in ky
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 1 into 1
4.328 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
4.328 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.328 * [taylor]: Taking taylor expansion of kx in ky
4.328 * [backup-simplify]: Simplify kx into kx
4.328 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.328 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.328 * [taylor]: Taking taylor expansion of (sin kx) in ky
4.328 * [taylor]: Taking taylor expansion of kx in ky
4.328 * [backup-simplify]: Simplify kx into kx
4.328 * [backup-simplify]: Simplify (sin kx) into (sin kx)
4.328 * [backup-simplify]: Simplify (cos kx) into (cos kx)
4.329 * [backup-simplify]: Simplify (* 0 0) into 0
4.329 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.329 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.329 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.329 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
4.329 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
4.329 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
4.329 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
4.329 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
4.330 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
4.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.332 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.332 * [backup-simplify]: Simplify (+ 0) into 0
4.333 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.334 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.334 * [backup-simplify]: Simplify (+ 0 0) into 0
4.335 * [backup-simplify]: Simplify (+ 0) into 0
4.335 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
4.336 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.336 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
4.337 * [backup-simplify]: Simplify (+ 0 0) into 0
4.337 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
4.337 * [backup-simplify]: Simplify (+ 0 0) into 0
4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
4.337 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.337 * [taylor]: Taking taylor expansion of kx in kx
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [backup-simplify]: Simplify 1 into 1
4.337 * [backup-simplify]: Simplify 0 into 0
4.337 * [taylor]: Taking taylor expansion of 0 in kx
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.338 * [backup-simplify]: Simplify 1 into 1
4.339 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.343 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.348 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.349 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.349 * [backup-simplify]: Simplify (+ 0 0) into 0
4.350 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.351 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
4.352 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.352 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
4.353 * [backup-simplify]: Simplify (+ 0 0) into 0
4.353 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
4.354 * [backup-simplify]: Simplify (+ 1 0) into 1
4.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
4.355 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
4.355 * [taylor]: Taking taylor expansion of 1/2 in kx
4.355 * [backup-simplify]: Simplify 1/2 into 1/2
4.355 * [taylor]: Taking taylor expansion of (sin kx) in kx
4.355 * [taylor]: Taking taylor expansion of kx in kx
4.355 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify 1 into 1
4.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
4.356 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.359 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.364 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
4.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.367 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.370 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.370 * [backup-simplify]: Simplify (+ 0 0) into 0
4.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.372 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.375 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.375 * [backup-simplify]: Simplify (+ 0 0) into 0
4.376 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
4.376 * [backup-simplify]: Simplify (+ 0 0) into 0
4.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
4.377 * [taylor]: Taking taylor expansion of 0 in kx
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
4.380 * [backup-simplify]: Simplify 1/12 into 1/12
4.380 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
4.381 * [backup-simplify]: Simplify -1/6 into -1/6
4.382 * [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)))
4.382 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
4.382 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
4.382 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
4.382 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.382 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
4.382 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
4.382 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.382 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.382 * [taylor]: Taking taylor expansion of ky in kx
4.383 * [backup-simplify]: Simplify ky into ky
4.383 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.383 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.383 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.383 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.383 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.383 * [taylor]: Taking taylor expansion of ky in kx
4.383 * [backup-simplify]: Simplify ky into ky
4.383 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.383 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.383 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.383 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
4.383 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.383 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.383 * [taylor]: Taking taylor expansion of kx in kx
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (/ 1 1) into 1
4.384 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.384 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.384 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.384 * [taylor]: Taking taylor expansion of kx in kx
4.384 * [backup-simplify]: Simplify 0 into 0
4.384 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (/ 1 1) into 1
4.384 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.385 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.385 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.385 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.385 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.385 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.385 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.385 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.385 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.386 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.386 * [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)))
4.386 * [backup-simplify]: Simplify (+ 0) into 0
4.387 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.388 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.389 * [backup-simplify]: Simplify (+ 0 0) into 0
4.389 * [backup-simplify]: Simplify (+ 0) into 0
4.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.391 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.391 * [backup-simplify]: Simplify (+ 0 0) into 0
4.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.392 * [backup-simplify]: Simplify (+ 0 0) into 0
4.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.393 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
4.393 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.393 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
4.393 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
4.393 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.393 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.393 * [taylor]: Taking taylor expansion of ky in ky
4.393 * [backup-simplify]: Simplify 0 into 0
4.393 * [backup-simplify]: Simplify 1 into 1
4.393 * [backup-simplify]: Simplify (/ 1 1) into 1
4.393 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.393 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.393 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.393 * [taylor]: Taking taylor expansion of ky in ky
4.394 * [backup-simplify]: Simplify 0 into 0
4.394 * [backup-simplify]: Simplify 1 into 1
4.394 * [backup-simplify]: Simplify (/ 1 1) into 1
4.394 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.394 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
4.394 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.394 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.394 * [taylor]: Taking taylor expansion of kx in ky
4.394 * [backup-simplify]: Simplify kx into kx
4.394 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.394 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.394 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.394 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.394 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.394 * [taylor]: Taking taylor expansion of kx in ky
4.394 * [backup-simplify]: Simplify kx into kx
4.394 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.395 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.395 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.395 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.395 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.395 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.395 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.395 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.395 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.395 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.395 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.396 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.396 * [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)))
4.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.397 * [backup-simplify]: Simplify (+ 0) into 0
4.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.399 * [backup-simplify]: Simplify (+ 0 0) into 0
4.399 * [backup-simplify]: Simplify (+ 0) into 0
4.400 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.401 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.401 * [backup-simplify]: Simplify (+ 0 0) into 0
4.402 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.402 * [backup-simplify]: Simplify (+ 0 0) into 0
4.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.402 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
4.403 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
4.403 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
4.403 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
4.403 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.403 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.403 * [taylor]: Taking taylor expansion of ky in ky
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 1 into 1
4.404 * [backup-simplify]: Simplify (/ 1 1) into 1
4.404 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.404 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
4.404 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
4.404 * [taylor]: Taking taylor expansion of ky in ky
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 1 into 1
4.404 * [backup-simplify]: Simplify (/ 1 1) into 1
4.404 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
4.404 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.404 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.404 * [taylor]: Taking taylor expansion of kx in ky
4.404 * [backup-simplify]: Simplify kx into kx
4.404 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.404 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.405 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.405 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
4.405 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
4.405 * [taylor]: Taking taylor expansion of kx in ky
4.405 * [backup-simplify]: Simplify kx into kx
4.405 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
4.405 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.405 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
4.405 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.405 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.405 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.405 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.405 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
4.405 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
4.405 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
4.406 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.406 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.406 * [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)))
4.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.407 * [backup-simplify]: Simplify (+ 0) into 0
4.407 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.408 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.409 * [backup-simplify]: Simplify (+ 0 0) into 0
4.409 * [backup-simplify]: Simplify (+ 0) into 0
4.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
4.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
4.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.411 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
4.412 * [backup-simplify]: Simplify (+ 0 0) into 0
4.412 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.412 * [backup-simplify]: Simplify (+ 0 0) into 0
4.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
4.413 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
4.413 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
4.413 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
4.413 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
4.413 * [taylor]: Taking taylor expansion of kx in kx
4.413 * [backup-simplify]: Simplify 0 into 0
4.413 * [backup-simplify]: Simplify 1 into 1
4.413 * [backup-simplify]: Simplify (/ 1 1) into 1
4.413 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
4.413 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
4.413 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
4.413 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
4.413 * [taylor]: Taking taylor expansion of ky in kx
4.413 * [backup-simplify]: Simplify ky into ky
4.414 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
4.414 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
4.414 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
4.414 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
4.414 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
4.414 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
4.414 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
4.414 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
4.414 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
4.415 * [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)))
4.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
4.415 * [backup-simplify]: Simplify (+ 0) into 0
4.416 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
4.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
4.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.417 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
4.418 * [backup-simplify]: Simplify (+ 0 0) into 0
4.418 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
4.418 * [backup-simplify]: Simplify (+ 0 0) into 0
4.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.419 * [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)))
4.419 * [taylor]: Taking taylor expansion of 0 in kx
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify 0 into 0
4.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.421 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.423 * [backup-simplify]: Simplify (+ 0 0) into 0
4.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.426 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.427 * [backup-simplify]: Simplify (+ 0 0) into 0
4.427 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.428 * [backup-simplify]: Simplify (+ 0 0) into 0
4.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.429 * [taylor]: Taking taylor expansion of 0 in kx
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
4.430 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.433 * [backup-simplify]: Simplify (+ 0 0) into 0
4.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
4.434 * [backup-simplify]: Simplify (+ 0 0) into 0
4.435 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.435 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
4.436 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.440 * [backup-simplify]: Simplify (+ 0 0) into 0
4.441 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.443 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.445 * [backup-simplify]: Simplify (+ 0 0) into 0
4.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
4.446 * [backup-simplify]: Simplify (+ 0 0) into 0
4.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
4.447 * [taylor]: Taking taylor expansion of 0 in kx
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 0 into 0
4.448 * [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)))
4.448 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
4.448 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
4.448 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
4.448 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.448 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
4.448 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
4.448 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.448 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.448 * [taylor]: Taking taylor expansion of -1 in kx
4.448 * [backup-simplify]: Simplify -1 into -1
4.448 * [taylor]: Taking taylor expansion of ky in kx
4.448 * [backup-simplify]: Simplify ky into ky
4.449 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.449 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.449 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.449 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.449 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.449 * [taylor]: Taking taylor expansion of -1 in kx
4.449 * [backup-simplify]: Simplify -1 into -1
4.449 * [taylor]: Taking taylor expansion of ky in kx
4.449 * [backup-simplify]: Simplify ky into ky
4.449 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.449 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.449 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.449 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
4.449 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.449 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.449 * [taylor]: Taking taylor expansion of -1 in kx
4.449 * [backup-simplify]: Simplify -1 into -1
4.449 * [taylor]: Taking taylor expansion of kx in kx
4.449 * [backup-simplify]: Simplify 0 into 0
4.449 * [backup-simplify]: Simplify 1 into 1
4.450 * [backup-simplify]: Simplify (/ -1 1) into -1
4.450 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.450 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.450 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.450 * [taylor]: Taking taylor expansion of -1 in kx
4.450 * [backup-simplify]: Simplify -1 into -1
4.450 * [taylor]: Taking taylor expansion of kx in kx
4.450 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify 1 into 1
4.451 * [backup-simplify]: Simplify (/ -1 1) into -1
4.451 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.451 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.452 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.452 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.452 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.452 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.452 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.452 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.452 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.452 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.453 * [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)))
4.453 * [backup-simplify]: Simplify (+ 0) into 0
4.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.454 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.456 * [backup-simplify]: Simplify (+ 0 0) into 0
4.456 * [backup-simplify]: Simplify (+ 0) into 0
4.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.457 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.459 * [backup-simplify]: Simplify (+ 0 0) into 0
4.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.459 * [backup-simplify]: Simplify (+ 0 0) into 0
4.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.460 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
4.460 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.460 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
4.460 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
4.460 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.460 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.460 * [taylor]: Taking taylor expansion of -1 in ky
4.460 * [backup-simplify]: Simplify -1 into -1
4.460 * [taylor]: Taking taylor expansion of ky in ky
4.460 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify 1 into 1
4.461 * [backup-simplify]: Simplify (/ -1 1) into -1
4.461 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.461 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.461 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.461 * [taylor]: Taking taylor expansion of -1 in ky
4.461 * [backup-simplify]: Simplify -1 into -1
4.461 * [taylor]: Taking taylor expansion of ky in ky
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 1 into 1
4.462 * [backup-simplify]: Simplify (/ -1 1) into -1
4.462 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.462 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
4.462 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.462 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.462 * [taylor]: Taking taylor expansion of -1 in ky
4.462 * [backup-simplify]: Simplify -1 into -1
4.462 * [taylor]: Taking taylor expansion of kx in ky
4.462 * [backup-simplify]: Simplify kx into kx
4.462 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.462 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.462 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.463 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.463 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.463 * [taylor]: Taking taylor expansion of -1 in ky
4.463 * [backup-simplify]: Simplify -1 into -1
4.463 * [taylor]: Taking taylor expansion of kx in ky
4.463 * [backup-simplify]: Simplify kx into kx
4.463 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.463 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.463 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.463 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.463 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.463 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.463 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.463 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.463 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.463 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.463 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.464 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.464 * [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)))
4.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.464 * [backup-simplify]: Simplify (+ 0) into 0
4.465 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.465 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.466 * [backup-simplify]: Simplify (+ 0 0) into 0
4.466 * [backup-simplify]: Simplify (+ 0) into 0
4.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.467 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.468 * [backup-simplify]: Simplify (+ 0 0) into 0
4.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.468 * [backup-simplify]: Simplify (+ 0 0) into 0
4.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.468 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
4.468 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
4.468 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
4.468 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
4.468 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.468 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.469 * [taylor]: Taking taylor expansion of -1 in ky
4.469 * [backup-simplify]: Simplify -1 into -1
4.469 * [taylor]: Taking taylor expansion of ky in ky
4.469 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify 1 into 1
4.469 * [backup-simplify]: Simplify (/ -1 1) into -1
4.469 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.469 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
4.469 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
4.469 * [taylor]: Taking taylor expansion of -1 in ky
4.469 * [backup-simplify]: Simplify -1 into -1
4.469 * [taylor]: Taking taylor expansion of ky in ky
4.469 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify 1 into 1
4.469 * [backup-simplify]: Simplify (/ -1 1) into -1
4.469 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.469 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
4.469 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.469 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.469 * [taylor]: Taking taylor expansion of -1 in ky
4.469 * [backup-simplify]: Simplify -1 into -1
4.469 * [taylor]: Taking taylor expansion of kx in ky
4.469 * [backup-simplify]: Simplify kx into kx
4.470 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.470 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.470 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.470 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
4.470 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
4.470 * [taylor]: Taking taylor expansion of -1 in ky
4.470 * [backup-simplify]: Simplify -1 into -1
4.470 * [taylor]: Taking taylor expansion of kx in ky
4.470 * [backup-simplify]: Simplify kx into kx
4.470 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
4.470 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.470 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
4.470 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.470 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.470 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.470 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.470 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
4.470 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
4.470 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
4.470 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.470 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.471 * [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)))
4.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.471 * [backup-simplify]: Simplify (+ 0) into 0
4.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.471 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.472 * [backup-simplify]: Simplify (+ 0 0) into 0
4.473 * [backup-simplify]: Simplify (+ 0) into 0
4.473 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
4.473 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
4.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.474 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
4.474 * [backup-simplify]: Simplify (+ 0 0) into 0
4.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.474 * [backup-simplify]: Simplify (+ 0 0) into 0
4.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
4.475 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
4.475 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
4.475 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
4.475 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
4.475 * [taylor]: Taking taylor expansion of -1 in kx
4.475 * [backup-simplify]: Simplify -1 into -1
4.475 * [taylor]: Taking taylor expansion of kx in kx
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 1 into 1
4.475 * [backup-simplify]: Simplify (/ -1 1) into -1
4.475 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
4.475 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
4.475 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
4.475 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
4.475 * [taylor]: Taking taylor expansion of -1 in kx
4.475 * [backup-simplify]: Simplify -1 into -1
4.475 * [taylor]: Taking taylor expansion of ky in kx
4.475 * [backup-simplify]: Simplify ky into ky
4.475 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
4.476 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
4.476 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
4.476 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
4.476 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
4.476 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
4.476 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
4.476 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
4.476 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
4.476 * [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)))
4.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
4.477 * [backup-simplify]: Simplify (+ 0) into 0
4.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
4.477 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
4.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
4.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
4.478 * [backup-simplify]: Simplify (+ 0 0) into 0
4.478 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
4.478 * [backup-simplify]: Simplify (+ 0 0) into 0
4.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.479 * [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)))
4.479 * [taylor]: Taking taylor expansion of 0 in kx
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.480 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.480 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.481 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.481 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.482 * [backup-simplify]: Simplify (+ 0 0) into 0
4.482 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.482 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
4.483 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.483 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
4.484 * [backup-simplify]: Simplify (+ 0 0) into 0
4.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.484 * [backup-simplify]: Simplify (+ 0 0) into 0
4.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.485 * [taylor]: Taking taylor expansion of 0 in kx
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
4.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
4.486 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
4.486 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
4.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
4.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
4.488 * [backup-simplify]: Simplify (+ 0 0) into 0
4.488 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
4.488 * [backup-simplify]: Simplify (+ 0 0) into 0
4.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.489 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
4.494 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.495 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.496 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.497 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.497 * [backup-simplify]: Simplify (+ 0 0) into 0
4.497 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
4.498 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.498 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
4.499 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
4.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
4.500 * [backup-simplify]: Simplify (+ 0 0) into 0
4.500 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
4.501 * [backup-simplify]: Simplify (+ 0 0) into 0
4.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
4.501 * [taylor]: Taking taylor expansion of 0 in kx
4.501 * [backup-simplify]: Simplify 0 into 0
4.501 * [backup-simplify]: Simplify 0 into 0
4.502 * [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)))
4.502 * * * [progress]: simplifying candidates
4.502 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1)))>
4.502 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 7 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 8 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin 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)))))))>
4.502 * * * * [progress]: [ 9 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (/ (sin ky) (hypot (sin ky) (sin kx)))) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 10 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.502 * * * * [progress]: [ 11 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- (sin ky)) (- (hypot (sin ky) (sin kx))))))>
4.502 * * * * [progress]: [ 12 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin 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)))))))>
4.502 * * * * [progress]: [ 13 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 14 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))))))>
4.503 * * * * [progress]: [ 15 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 17 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))))>
4.503 * * * * [progress]: [ 18 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 19 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 20 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.503 * * * * [progress]: [ 21 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.503 * * * * [progress]: [ 22 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sin ky) (/ 1 (hypot (sin ky) (sin kx))))))>
4.503 * * * * [progress]: [ 23 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
4.503 * * * * [progress]: [ 24 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (hypot (sin ky) (sin kx))))))>
4.503 * * * * [progress]: [ 25 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (hypot (sin ky) (sin kx))))))>
4.503 * * * * [progress]: [ 26 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) 1) (hypot (sin ky) (sin kx)))))>
4.503 * * * * [progress]: [ 27 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
4.503 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt (sin ky)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
4.503 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
4.503 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
4.503 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
4.503 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 39 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))))))>
4.503 * * * * [progress]: [ 40 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (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)))))))>
4.503 * * * * [progress]: [ 41 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))) (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.504 * * * * [progress]: [ 42 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (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)))))))>
4.504 * * * * [progress]: [ 43 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.504 * * * * [progress]: [ 44 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 45 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.504 * * * * [progress]: [ 46 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))))>
4.504 * * * * [progress]: [ 47 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin 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))))))>
4.504 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 49 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin 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))))))>
4.504 * * * * [progress]: [ 50 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))) (/ (cbrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 51 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))))>
4.504 * * * * [progress]: [ 52 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 53 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 54 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) 1)) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))>
4.504 * * * * [progress]: [ 55 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 56 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx))))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
4.504 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
4.504 * * * * [progress]: [ 59 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sin ky)) (/ 1 (hypot (sin ky) (sin kx)))))>
4.504 * * * * [progress]: [ 60 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
4.504 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))>
4.504 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
4.504 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))>
4.504 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log1p (expm1 (hypot (sin ky) (sin kx)))))))>
4.504 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (expm1 (log1p (hypot (sin ky) (sin kx)))))))>
4.505 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))>
4.505 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (pow (hypot (sin ky) (sin kx)) 1))))>
4.505 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (exp (log (hypot (sin ky) (sin kx)))))))>
4.505 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log (exp (hypot (sin ky) (sin kx)))))))>
4.505 * * * * [progress]: [ 72 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))))))>
4.505 * * * * [progress]: [ 73 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))))))>
4.505 * * * * [progress]: [ 74 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx)))))))>
4.505 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))>
4.505 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))>
4.505 * * * * [progress]: [ 77 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))))>
4.505 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
4.505 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
4.505 * * * * [progress]: [ 80 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
4.505 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
4.505 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
4.505 * * * * [progress]: [ 83 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))))))>
4.505 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
4.505 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
4.506 * [simplify]: Simplifying:
  (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))
  (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (expm1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (log1p (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (+ (log (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) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (exp (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (* (* (sin th) (sin th)) (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)))))
  (* (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))
  (cbrt (* (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) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (sqrt (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (sqrt (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)))))
  (* (sin th) (* (cbrt (/ (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 (sin ky))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1))
  (* (sin th) (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ (sqrt (sin ky)) 1))
  (* (sin th) (/ 1 (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sin th) (/ 1 (sqrt (hypot (sin ky) (sin kx)))))
  (* (sin th) (/ 1 1))
  (* (sin th) 1)
  (* (sin th) (sin ky))
  (* (cbrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (sqrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
  (* (sin th) (sin ky))
  (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (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)))
  (real->posit16 (hypot (sin ky) (sin kx)))
  (- (+ (* 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))
  (* 1/6 (* 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)))
  (- (+ (* 1/12 (* 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)))
4.507 * * [simplify]: iteration 0: 133 enodes
4.554 * * [simplify]: iteration 1: 306 enodes
4.688 * * [simplify]: iteration 2: 1013 enodes
5.310 * * [simplify]: iteration 3: 2946 enodes
6.088 * * [simplify]: iteration complete: 5003 enodes
6.088 * * [simplify]: Extracting #0: cost 76 inf + 0
6.090 * * [simplify]: Extracting #1: cost 810 inf + 1
6.096 * * [simplify]: Extracting #2: cost 1317 inf + 4016
6.115 * * [simplify]: Extracting #3: cost 1109 inf + 61899
6.165 * * [simplify]: Extracting #4: cost 318 inf + 323726
6.257 * * [simplify]: Extracting #5: cost 16 inf + 439846
6.375 * * [simplify]: Extracting #6: cost 0 inf + 443056
6.524 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (/ (sin ky) (hypot (sin kx) (sin ky))) (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (sin ky))
  (- (hypot (sin kx) (sin ky)))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (sin ky)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (log1p (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (log (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (log (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (exp (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (* (cbrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (cbrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (* (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))) (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (sqrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (sqrt (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th))
  (* (sin th) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (/ (sin th) (* (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (/ (cbrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))))
  (* (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sin th)) (cbrt (sin ky)))
  (* (* (sin th) (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (/ (* (sqrt (sin ky)) (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin ky)))
  (* (sin th) (sqrt (sin ky)))
  (/ (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (sin th)
  (sin th)
  (* (sin ky) (sin th))
  (* (/ (cbrt (sin th)) (hypot (sin kx) (sin ky))) (sin ky))
  (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (* (sin ky) (sin th))
  (real->posit16 (/ (sin th) (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (hypot (sin kx) (sin ky)) (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (real->posit16 (hypot (sin kx) (sin ky)))
  (fma (* kx (* kx (* ky kx))) 7/360 (fma (* ky kx) 1/6 (* -71/720 (* (* ky ky) (* ky kx)))))
  (* (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))))))
  (* (* ky kx) (* 1/6 th))
  (* (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)))
  (fma kx (- (* (* ky ky) 1/12) (* (* kx kx) 1/6)) kx)
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
6.533 * * * [progress]: adding candidates to table
7.077 * * [progress]: iteration 2 / 4
7.077 * * * [progress]: picking best candidate
7.180 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))>
7.180 * * * [progress]: localizing error
7.201 * * * [progress]: generating rewritten candidates
7.201 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
7.213 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
7.240 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
7.244 * * * [progress]: generating series expansions
7.244 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
7.244 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin ky) (sin kx))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
7.244 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
7.244 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
7.244 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.244 * [taylor]: Taking taylor expansion of ky in kx
7.244 * [backup-simplify]: Simplify ky into ky
7.244 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.245 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.245 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.245 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.245 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.245 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.245 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.245 * [taylor]: Taking taylor expansion of ky in kx
7.245 * [backup-simplify]: Simplify ky into ky
7.245 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.245 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.245 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.245 * [taylor]: Taking taylor expansion of ky in kx
7.245 * [backup-simplify]: Simplify ky into ky
7.245 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.245 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.245 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.245 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.245 * [taylor]: Taking taylor expansion of kx in kx
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 1 into 1
7.245 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.245 * [taylor]: Taking taylor expansion of kx in kx
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 1 into 1
7.245 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.246 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.246 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.246 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.246 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.246 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.246 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.247 * [backup-simplify]: Simplify (* 0 0) into 0
7.247 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.247 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.248 * [backup-simplify]: Simplify (+ 0) into 0
7.248 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.249 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.250 * [backup-simplify]: Simplify (+ 0 0) into 0
7.250 * [backup-simplify]: Simplify (+ 0) into 0
7.251 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.252 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.252 * [backup-simplify]: Simplify (+ 0 0) into 0
7.252 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.255 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.255 * [backup-simplify]: Simplify (+ 0 0) into 0
7.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.255 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.255 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.255 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.256 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
7.256 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
7.256 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.256 * [taylor]: Taking taylor expansion of ky in ky
7.256 * [backup-simplify]: Simplify 0 into 0
7.256 * [backup-simplify]: Simplify 1 into 1
7.256 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.256 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.256 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.256 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.256 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.256 * [taylor]: Taking taylor expansion of ky in ky
7.256 * [backup-simplify]: Simplify 0 into 0
7.256 * [backup-simplify]: Simplify 1 into 1
7.256 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.256 * [taylor]: Taking taylor expansion of ky in ky
7.256 * [backup-simplify]: Simplify 0 into 0
7.256 * [backup-simplify]: Simplify 1 into 1
7.256 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.256 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.256 * [taylor]: Taking taylor expansion of kx in ky
7.256 * [backup-simplify]: Simplify kx into kx
7.256 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.256 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.256 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.256 * [taylor]: Taking taylor expansion of kx in ky
7.256 * [backup-simplify]: Simplify kx into kx
7.256 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.256 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.257 * [backup-simplify]: Simplify (* 0 0) into 0
7.257 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.257 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.257 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.257 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.257 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.257 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.257 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.258 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.258 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.260 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.260 * [backup-simplify]: Simplify (+ 0) into 0
7.261 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.262 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.262 * [backup-simplify]: Simplify (+ 0 0) into 0
7.263 * [backup-simplify]: Simplify (+ 0) into 0
7.263 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.265 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.265 * [backup-simplify]: Simplify (+ 0 0) into 0
7.265 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.265 * [backup-simplify]: Simplify (+ 0 0) into 0
7.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.266 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
7.266 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
7.267 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.267 * [taylor]: Taking taylor expansion of ky in ky
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 1 into 1
7.267 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.267 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.267 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.267 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.267 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.267 * [taylor]: Taking taylor expansion of ky in ky
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 1 into 1
7.267 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.267 * [taylor]: Taking taylor expansion of ky in ky
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 1 into 1
7.267 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.267 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.267 * [taylor]: Taking taylor expansion of kx in ky
7.267 * [backup-simplify]: Simplify kx into kx
7.267 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.267 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.267 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.267 * [taylor]: Taking taylor expansion of kx in ky
7.267 * [backup-simplify]: Simplify kx into kx
7.267 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.267 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.268 * [backup-simplify]: Simplify (* 0 0) into 0
7.268 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.268 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.268 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.268 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.268 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.268 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.268 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.268 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.269 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.269 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.271 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.271 * [backup-simplify]: Simplify (+ 0) into 0
7.272 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.273 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.274 * [backup-simplify]: Simplify (+ 0 0) into 0
7.274 * [backup-simplify]: Simplify (+ 0) into 0
7.275 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.276 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.276 * [backup-simplify]: Simplify (+ 0 0) into 0
7.277 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.277 * [backup-simplify]: Simplify (+ 0 0) into 0
7.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.278 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.278 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
7.278 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.278 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.278 * [taylor]: Taking taylor expansion of kx in kx
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.279 * [backup-simplify]: Simplify (/ 1 1) into 1
7.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.281 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.282 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
7.282 * [taylor]: Taking taylor expansion of 0 in kx
7.282 * [backup-simplify]: Simplify 0 into 0
7.282 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.285 * [backup-simplify]: Simplify 1/6 into 1/6
7.287 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.289 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.291 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.292 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.292 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.292 * [backup-simplify]: Simplify (+ 0 0) into 0
7.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.293 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.294 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.294 * [backup-simplify]: Simplify (+ 0 0) into 0
7.295 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.295 * [backup-simplify]: Simplify (+ 1 0) into 1
7.295 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.296 * [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)))))
7.296 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
7.296 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
7.296 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
7.296 * [taylor]: Taking taylor expansion of 1/6 in kx
7.296 * [backup-simplify]: Simplify 1/6 into 1/6
7.296 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
7.296 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.296 * [taylor]: Taking taylor expansion of kx in kx
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 1 into 1
7.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.296 * [backup-simplify]: Simplify (/ 1 1) into 1
7.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
7.296 * [taylor]: Taking taylor expansion of 1/2 in kx
7.296 * [backup-simplify]: Simplify 1/2 into 1/2
7.296 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
7.296 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
7.296 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.297 * [taylor]: Taking taylor expansion of kx in kx
7.297 * [backup-simplify]: Simplify 0 into 0
7.297 * [backup-simplify]: Simplify 1 into 1
7.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.297 * [backup-simplify]: Simplify (* 1 1) into 1
7.297 * [backup-simplify]: Simplify (* 1 1) into 1
7.298 * [backup-simplify]: Simplify (/ 1 1) into 1
7.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.299 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
7.300 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.301 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.301 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
7.303 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
7.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
7.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.306 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (+ 0 0) into 0
7.309 * [backup-simplify]: Simplify (- 0) into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
7.310 * [backup-simplify]: Simplify 0 into 0
7.311 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.312 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.314 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
7.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.315 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.316 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.316 * [backup-simplify]: Simplify (+ 0 0) into 0
7.317 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.317 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.319 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.319 * [backup-simplify]: Simplify (+ 0 0) into 0
7.320 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.320 * [backup-simplify]: Simplify (+ 0 0) into 0
7.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.320 * [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
7.320 * [taylor]: Taking taylor expansion of 0 in kx
7.320 * [backup-simplify]: Simplify 0 into 0
7.320 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.323 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
7.325 * [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
7.325 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
7.327 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
7.328 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
7.329 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
7.329 * [backup-simplify]: Simplify (- 71/720) into -71/720
7.329 * [backup-simplify]: Simplify -71/720 into -71/720
7.329 * [backup-simplify]: Simplify 0 into 0
7.331 * [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
7.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
7.336 * [backup-simplify]: Simplify 7/360 into 7/360
7.336 * [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))))
7.337 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
7.337 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
7.337 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
7.337 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.337 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.337 * [taylor]: Taking taylor expansion of ky in kx
7.337 * [backup-simplify]: Simplify ky into ky
7.337 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.337 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.337 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.337 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.337 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.337 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.337 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.337 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.337 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.337 * [taylor]: Taking taylor expansion of ky in kx
7.337 * [backup-simplify]: Simplify ky into ky
7.337 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.337 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.337 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.337 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.337 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.337 * [taylor]: Taking taylor expansion of ky in kx
7.337 * [backup-simplify]: Simplify ky into ky
7.337 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.337 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.337 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.337 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.337 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.337 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.337 * [taylor]: Taking taylor expansion of kx in kx
7.337 * [backup-simplify]: Simplify 0 into 0
7.337 * [backup-simplify]: Simplify 1 into 1
7.338 * [backup-simplify]: Simplify (/ 1 1) into 1
7.338 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.338 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.338 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.338 * [taylor]: Taking taylor expansion of kx in kx
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify 1 into 1
7.338 * [backup-simplify]: Simplify (/ 1 1) into 1
7.338 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.338 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.339 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.339 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.339 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.339 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.339 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.339 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.339 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.339 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.339 * [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)))
7.340 * [backup-simplify]: Simplify (+ 0) into 0
7.340 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.340 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.341 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.341 * [backup-simplify]: Simplify (+ 0 0) into 0
7.341 * [backup-simplify]: Simplify (+ 0) into 0
7.342 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.343 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.343 * [backup-simplify]: Simplify (+ 0 0) into 0
7.343 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.343 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.343 * [backup-simplify]: Simplify (+ 0 0) into 0
7.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.343 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.344 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.344 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.344 * [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)))
7.344 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.344 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.344 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.344 * [taylor]: Taking taylor expansion of ky in ky
7.344 * [backup-simplify]: Simplify 0 into 0
7.344 * [backup-simplify]: Simplify 1 into 1
7.344 * [backup-simplify]: Simplify (/ 1 1) into 1
7.344 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.344 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.344 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.344 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.344 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.344 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.344 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.344 * [taylor]: Taking taylor expansion of ky in ky
7.344 * [backup-simplify]: Simplify 0 into 0
7.344 * [backup-simplify]: Simplify 1 into 1
7.345 * [backup-simplify]: Simplify (/ 1 1) into 1
7.345 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.345 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.345 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.345 * [taylor]: Taking taylor expansion of ky in ky
7.345 * [backup-simplify]: Simplify 0 into 0
7.345 * [backup-simplify]: Simplify 1 into 1
7.345 * [backup-simplify]: Simplify (/ 1 1) into 1
7.345 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.345 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.345 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.345 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.345 * [taylor]: Taking taylor expansion of kx in ky
7.345 * [backup-simplify]: Simplify kx into kx
7.345 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.345 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.345 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.345 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.345 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.345 * [taylor]: Taking taylor expansion of kx in ky
7.345 * [backup-simplify]: Simplify kx into kx
7.345 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.345 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.346 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.346 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.346 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.346 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.346 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.346 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.346 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.346 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.346 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.346 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.346 * [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)))
7.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.347 * [backup-simplify]: Simplify (+ 0) into 0
7.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.349 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.349 * [backup-simplify]: Simplify (+ 0 0) into 0
7.350 * [backup-simplify]: Simplify (+ 0) into 0
7.350 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.352 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.352 * [backup-simplify]: Simplify (+ 0 0) into 0
7.352 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.352 * [backup-simplify]: Simplify (+ 0 0) into 0
7.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.353 * [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)))
7.353 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.353 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.353 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.353 * [taylor]: Taking taylor expansion of ky in ky
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 1 into 1
7.354 * [backup-simplify]: Simplify (/ 1 1) into 1
7.354 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.354 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.354 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.354 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.354 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.354 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.354 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.354 * [taylor]: Taking taylor expansion of ky in ky
7.354 * [backup-simplify]: Simplify 0 into 0
7.354 * [backup-simplify]: Simplify 1 into 1
7.355 * [backup-simplify]: Simplify (/ 1 1) into 1
7.355 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.355 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.355 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.355 * [taylor]: Taking taylor expansion of ky in ky
7.355 * [backup-simplify]: Simplify 0 into 0
7.355 * [backup-simplify]: Simplify 1 into 1
7.355 * [backup-simplify]: Simplify (/ 1 1) into 1
7.355 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.355 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.355 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.355 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.355 * [taylor]: Taking taylor expansion of kx in ky
7.355 * [backup-simplify]: Simplify kx into kx
7.356 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.356 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.356 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.356 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.356 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.356 * [taylor]: Taking taylor expansion of kx in ky
7.356 * [backup-simplify]: Simplify kx into kx
7.356 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.356 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.356 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.356 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.356 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.356 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.356 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.356 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.357 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.357 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.357 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.357 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.357 * [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)))
7.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.358 * [backup-simplify]: Simplify (+ 0) into 0
7.359 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.360 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.360 * [backup-simplify]: Simplify (+ 0 0) into 0
7.361 * [backup-simplify]: Simplify (+ 0) into 0
7.361 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.363 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.363 * [backup-simplify]: Simplify (+ 0 0) into 0
7.363 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.364 * [backup-simplify]: Simplify (+ 0 0) into 0
7.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.365 * [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)))
7.365 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
7.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
7.365 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.365 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.365 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.365 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.365 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.365 * [taylor]: Taking taylor expansion of kx in kx
7.365 * [backup-simplify]: Simplify 0 into 0
7.365 * [backup-simplify]: Simplify 1 into 1
7.365 * [backup-simplify]: Simplify (/ 1 1) into 1
7.366 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.366 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.366 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.366 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.366 * [taylor]: Taking taylor expansion of ky in kx
7.366 * [backup-simplify]: Simplify ky into ky
7.366 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.366 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.366 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.366 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.366 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.366 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.366 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.366 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.367 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.367 * [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)))
7.367 * [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))))
7.368 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.368 * [backup-simplify]: Simplify (+ 0) into 0
7.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.370 * [backup-simplify]: Simplify (+ 0 0) into 0
7.371 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.371 * [backup-simplify]: Simplify (+ 0 0) into 0
7.372 * [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
7.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.372 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.372 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.372 * [taylor]: Taking taylor expansion of ky in kx
7.372 * [backup-simplify]: Simplify ky into ky
7.372 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.372 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.372 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.372 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.372 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.373 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.373 * [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)))
7.373 * [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)))
7.374 * [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
7.374 * [taylor]: Taking taylor expansion of 0 in kx
7.374 * [backup-simplify]: Simplify 0 into 0
7.374 * [backup-simplify]: Simplify 0 into 0
7.375 * [backup-simplify]: Simplify (+ 0) into 0
7.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.376 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.377 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.377 * [backup-simplify]: Simplify (+ 0 0) into 0
7.378 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
7.378 * [backup-simplify]: Simplify 0 into 0
7.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.382 * [backup-simplify]: Simplify (+ 0 0) into 0
7.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.386 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.386 * [backup-simplify]: Simplify (+ 0 0) into 0
7.387 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.387 * [backup-simplify]: Simplify (+ 0 0) into 0
7.388 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.390 * [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
7.390 * [taylor]: Taking taylor expansion of 0 in kx
7.390 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.392 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.394 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.394 * [backup-simplify]: Simplify (+ 0 0) into 0
7.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.396 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.397 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.398 * [backup-simplify]: Simplify (+ 0 0) into 0
7.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.399 * [backup-simplify]: Simplify (+ 0 0) into 0
7.401 * [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
7.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.403 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.403 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.405 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.407 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.408 * [backup-simplify]: Simplify (+ 0 0) into 0
7.408 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.409 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.411 * [backup-simplify]: Simplify (+ 0 0) into 0
7.411 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.411 * [backup-simplify]: Simplify (+ 0 0) into 0
7.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.413 * [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
7.413 * [taylor]: Taking taylor expansion of 0 in kx
7.413 * [backup-simplify]: Simplify 0 into 0
7.413 * [backup-simplify]: Simplify 0 into 0
7.413 * [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))
7.413 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
7.414 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
7.414 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
7.414 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.414 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.414 * [taylor]: Taking taylor expansion of -1 in kx
7.414 * [backup-simplify]: Simplify -1 into -1
7.414 * [taylor]: Taking taylor expansion of ky in kx
7.414 * [backup-simplify]: Simplify ky into ky
7.414 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.414 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.414 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.414 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.414 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.414 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.414 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.414 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.414 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.414 * [taylor]: Taking taylor expansion of -1 in kx
7.414 * [backup-simplify]: Simplify -1 into -1
7.414 * [taylor]: Taking taylor expansion of ky in kx
7.414 * [backup-simplify]: Simplify ky into ky
7.414 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.414 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.414 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.414 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.414 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.414 * [taylor]: Taking taylor expansion of -1 in kx
7.414 * [backup-simplify]: Simplify -1 into -1
7.414 * [taylor]: Taking taylor expansion of ky in kx
7.414 * [backup-simplify]: Simplify ky into ky
7.414 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.414 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.414 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.414 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.414 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.414 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.414 * [taylor]: Taking taylor expansion of -1 in kx
7.414 * [backup-simplify]: Simplify -1 into -1
7.414 * [taylor]: Taking taylor expansion of kx in kx
7.414 * [backup-simplify]: Simplify 0 into 0
7.414 * [backup-simplify]: Simplify 1 into 1
7.415 * [backup-simplify]: Simplify (/ -1 1) into -1
7.415 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.415 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.415 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.415 * [taylor]: Taking taylor expansion of -1 in kx
7.415 * [backup-simplify]: Simplify -1 into -1
7.415 * [taylor]: Taking taylor expansion of kx in kx
7.415 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify 1 into 1
7.415 * [backup-simplify]: Simplify (/ -1 1) into -1
7.415 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.415 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.415 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.415 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.415 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.416 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.416 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.416 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.416 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.416 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.416 * [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)))
7.416 * [backup-simplify]: Simplify (+ 0) into 0
7.417 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.417 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.418 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.418 * [backup-simplify]: Simplify (+ 0 0) into 0
7.418 * [backup-simplify]: Simplify (+ 0) into 0
7.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.418 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.419 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.419 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.419 * [backup-simplify]: Simplify (+ 0 0) into 0
7.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.420 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.420 * [backup-simplify]: Simplify (+ 0 0) into 0
7.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.420 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.420 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.420 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.420 * [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)))
7.420 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.420 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.420 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.420 * [taylor]: Taking taylor expansion of -1 in ky
7.421 * [backup-simplify]: Simplify -1 into -1
7.421 * [taylor]: Taking taylor expansion of ky in ky
7.421 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify 1 into 1
7.421 * [backup-simplify]: Simplify (/ -1 1) into -1
7.421 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.421 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.421 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.421 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.421 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.421 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.421 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.421 * [taylor]: Taking taylor expansion of -1 in ky
7.421 * [backup-simplify]: Simplify -1 into -1
7.421 * [taylor]: Taking taylor expansion of ky in ky
7.421 * [backup-simplify]: Simplify 0 into 0
7.421 * [backup-simplify]: Simplify 1 into 1
7.421 * [backup-simplify]: Simplify (/ -1 1) into -1
7.422 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.422 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.422 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.422 * [taylor]: Taking taylor expansion of -1 in ky
7.422 * [backup-simplify]: Simplify -1 into -1
7.422 * [taylor]: Taking taylor expansion of ky in ky
7.422 * [backup-simplify]: Simplify 0 into 0
7.422 * [backup-simplify]: Simplify 1 into 1
7.422 * [backup-simplify]: Simplify (/ -1 1) into -1
7.422 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.422 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.422 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.422 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.422 * [taylor]: Taking taylor expansion of -1 in ky
7.422 * [backup-simplify]: Simplify -1 into -1
7.422 * [taylor]: Taking taylor expansion of kx in ky
7.422 * [backup-simplify]: Simplify kx into kx
7.422 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.422 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.422 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.422 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.422 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.422 * [taylor]: Taking taylor expansion of -1 in ky
7.422 * [backup-simplify]: Simplify -1 into -1
7.422 * [taylor]: Taking taylor expansion of kx in ky
7.422 * [backup-simplify]: Simplify kx into kx
7.422 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.422 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.422 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.422 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.423 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.423 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.423 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.423 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.423 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.423 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.423 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.423 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.423 * [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)))
7.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.424 * [backup-simplify]: Simplify (+ 0) into 0
7.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.424 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.425 * [backup-simplify]: Simplify (+ 0 0) into 0
7.425 * [backup-simplify]: Simplify (+ 0) into 0
7.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.426 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.426 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.427 * [backup-simplify]: Simplify (+ 0 0) into 0
7.427 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.427 * [backup-simplify]: Simplify (+ 0 0) into 0
7.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.428 * [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)))
7.428 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.428 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.428 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.428 * [taylor]: Taking taylor expansion of -1 in ky
7.428 * [backup-simplify]: Simplify -1 into -1
7.428 * [taylor]: Taking taylor expansion of ky in ky
7.428 * [backup-simplify]: Simplify 0 into 0
7.428 * [backup-simplify]: Simplify 1 into 1
7.428 * [backup-simplify]: Simplify (/ -1 1) into -1
7.428 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.428 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.428 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.428 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.428 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.428 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.428 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.428 * [taylor]: Taking taylor expansion of -1 in ky
7.428 * [backup-simplify]: Simplify -1 into -1
7.428 * [taylor]: Taking taylor expansion of ky in ky
7.428 * [backup-simplify]: Simplify 0 into 0
7.428 * [backup-simplify]: Simplify 1 into 1
7.429 * [backup-simplify]: Simplify (/ -1 1) into -1
7.429 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.429 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.429 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.429 * [taylor]: Taking taylor expansion of -1 in ky
7.429 * [backup-simplify]: Simplify -1 into -1
7.429 * [taylor]: Taking taylor expansion of ky in ky
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [backup-simplify]: Simplify (/ -1 1) into -1
7.429 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.429 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.429 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.429 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.429 * [taylor]: Taking taylor expansion of -1 in ky
7.429 * [backup-simplify]: Simplify -1 into -1
7.429 * [taylor]: Taking taylor expansion of kx in ky
7.429 * [backup-simplify]: Simplify kx into kx
7.429 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.429 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.429 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.429 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.429 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.429 * [taylor]: Taking taylor expansion of -1 in ky
7.429 * [backup-simplify]: Simplify -1 into -1
7.429 * [taylor]: Taking taylor expansion of kx in ky
7.429 * [backup-simplify]: Simplify kx into kx
7.429 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.429 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.429 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.430 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.430 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.430 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.430 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.430 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.430 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.430 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.430 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.430 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.430 * [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)))
7.430 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.431 * [backup-simplify]: Simplify (+ 0) into 0
7.431 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.431 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.432 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.432 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.432 * [backup-simplify]: Simplify (+ 0 0) into 0
7.432 * [backup-simplify]: Simplify (+ 0) into 0
7.433 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.433 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.434 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.434 * [backup-simplify]: Simplify (+ 0 0) into 0
7.434 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.434 * [backup-simplify]: Simplify (+ 0 0) into 0
7.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.435 * [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)))
7.435 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
7.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
7.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.435 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.435 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.435 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.435 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.435 * [taylor]: Taking taylor expansion of -1 in kx
7.435 * [backup-simplify]: Simplify -1 into -1
7.435 * [taylor]: Taking taylor expansion of kx in kx
7.435 * [backup-simplify]: Simplify 0 into 0
7.435 * [backup-simplify]: Simplify 1 into 1
7.435 * [backup-simplify]: Simplify (/ -1 1) into -1
7.435 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.435 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.435 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.435 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.435 * [taylor]: Taking taylor expansion of -1 in kx
7.435 * [backup-simplify]: Simplify -1 into -1
7.435 * [taylor]: Taking taylor expansion of ky in kx
7.435 * [backup-simplify]: Simplify ky into ky
7.435 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.435 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.435 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.436 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.436 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.436 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.436 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.436 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.436 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.436 * [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)))
7.436 * [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))))
7.436 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.437 * [backup-simplify]: Simplify (+ 0) into 0
7.437 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.437 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.438 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.438 * [backup-simplify]: Simplify (+ 0 0) into 0
7.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.439 * [backup-simplify]: Simplify (+ 0 0) into 0
7.439 * [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
7.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.439 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.439 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.439 * [taylor]: Taking taylor expansion of -1 in kx
7.439 * [backup-simplify]: Simplify -1 into -1
7.439 * [taylor]: Taking taylor expansion of ky in kx
7.439 * [backup-simplify]: Simplify ky into ky
7.439 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.439 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.439 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.439 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.439 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.440 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.440 * [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)))
7.440 * [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)))
7.441 * [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
7.441 * [taylor]: Taking taylor expansion of 0 in kx
7.441 * [backup-simplify]: Simplify 0 into 0
7.441 * [backup-simplify]: Simplify 0 into 0
7.441 * [backup-simplify]: Simplify (+ 0) into 0
7.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.441 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.442 * [backup-simplify]: Simplify (+ 0 0) into 0
7.443 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.444 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.445 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.445 * [backup-simplify]: Simplify (+ 0 0) into 0
7.446 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.446 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.447 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.447 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.447 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.448 * [backup-simplify]: Simplify (+ 0 0) into 0
7.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.448 * [backup-simplify]: Simplify (+ 0 0) into 0
7.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.450 * [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
7.450 * [taylor]: Taking taylor expansion of 0 in kx
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.451 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.451 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.452 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.452 * [backup-simplify]: Simplify (+ 0 0) into 0
7.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.454 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.455 * [backup-simplify]: Simplify (+ 0 0) into 0
7.455 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.455 * [backup-simplify]: Simplify (+ 0 0) into 0
7.456 * [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
7.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.457 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.457 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
7.461 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.462 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.464 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.465 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.465 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.466 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.466 * [backup-simplify]: Simplify (+ 0 0) into 0
7.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
7.468 * [backup-simplify]: Simplify (+ 0 0) into 0
7.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.471 * [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
7.471 * [taylor]: Taking taylor expansion of 0 in kx
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify 0 into 0
7.471 * [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))
7.471 * * * * [progress]: [ 2 / 3 ] generating series at (2)
7.472 * [backup-simplify]: Simplify (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
7.472 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (ky kx th) around 0
7.472 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
7.472 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
7.472 * [taylor]: Taking taylor expansion of (sin th) in th
7.472 * [taylor]: Taking taylor expansion of th in th
7.472 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify 1 into 1
7.472 * [taylor]: Taking taylor expansion of (sin ky) in th
7.472 * [taylor]: Taking taylor expansion of ky in th
7.472 * [backup-simplify]: Simplify ky into ky
7.472 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.472 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.472 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
7.472 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.472 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
7.472 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
7.472 * [taylor]: Taking taylor expansion of (sin ky) in th
7.472 * [taylor]: Taking taylor expansion of ky in th
7.472 * [backup-simplify]: Simplify ky into ky
7.472 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.472 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.472 * [taylor]: Taking taylor expansion of (sin ky) in th
7.472 * [taylor]: Taking taylor expansion of ky in th
7.472 * [backup-simplify]: Simplify ky into ky
7.472 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.472 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.473 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
7.473 * [taylor]: Taking taylor expansion of (sin kx) in th
7.473 * [taylor]: Taking taylor expansion of kx in th
7.473 * [backup-simplify]: Simplify kx into kx
7.473 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.473 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.473 * [taylor]: Taking taylor expansion of (sin kx) in th
7.473 * [taylor]: Taking taylor expansion of kx in th
7.473 * [backup-simplify]: Simplify kx into kx
7.473 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.473 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.473 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.473 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.473 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.473 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.473 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.473 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.473 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.473 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.474 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.474 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.474 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.474 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.474 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.474 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.474 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
7.474 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
7.475 * [backup-simplify]: Simplify (+ 0) into 0
7.475 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.477 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.477 * [backup-simplify]: Simplify (+ 0 0) into 0
7.477 * [backup-simplify]: Simplify (+ 0) into 0
7.478 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.479 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.480 * [backup-simplify]: Simplify (+ 0 0) into 0
7.480 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.480 * [backup-simplify]: Simplify (+ 0) into 0
7.481 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.482 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.482 * [backup-simplify]: Simplify (+ 0 0) into 0
7.483 * [backup-simplify]: Simplify (+ 0) into 0
7.483 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.485 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.485 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.485 * [backup-simplify]: Simplify (+ 0 0) into 0
7.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
7.486 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.486 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.486 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.486 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
7.487 * [backup-simplify]: Simplify (+ 0) into 0
7.487 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.488 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.489 * [backup-simplify]: Simplify (+ 0 0) into 0
7.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
7.490 * [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))
7.490 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
7.490 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
7.490 * [taylor]: Taking taylor expansion of (sin th) in kx
7.490 * [taylor]: Taking taylor expansion of th in kx
7.490 * [backup-simplify]: Simplify th into th
7.490 * [backup-simplify]: Simplify (sin th) into (sin th)
7.490 * [backup-simplify]: Simplify (cos th) into (cos th)
7.491 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.491 * [taylor]: Taking taylor expansion of ky in kx
7.491 * [backup-simplify]: Simplify ky into ky
7.491 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.491 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.491 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.491 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.491 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.491 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.491 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.491 * [taylor]: Taking taylor expansion of ky in kx
7.491 * [backup-simplify]: Simplify ky into ky
7.491 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.491 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.491 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.491 * [taylor]: Taking taylor expansion of ky in kx
7.491 * [backup-simplify]: Simplify ky into ky
7.491 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.491 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.491 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.491 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.491 * [taylor]: Taking taylor expansion of kx in kx
7.491 * [backup-simplify]: Simplify 0 into 0
7.491 * [backup-simplify]: Simplify 1 into 1
7.491 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.491 * [taylor]: Taking taylor expansion of kx in kx
7.491 * [backup-simplify]: Simplify 0 into 0
7.492 * [backup-simplify]: Simplify 1 into 1
7.492 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.492 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.492 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.492 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.492 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.492 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.492 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.492 * [backup-simplify]: Simplify (* 0 0) into 0
7.493 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.493 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.493 * [backup-simplify]: Simplify (+ 0) into 0
7.494 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.495 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.495 * [backup-simplify]: Simplify (+ 0 0) into 0
7.496 * [backup-simplify]: Simplify (+ 0) into 0
7.496 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.498 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.498 * [backup-simplify]: Simplify (+ 0 0) into 0
7.498 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.500 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.500 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.501 * [backup-simplify]: Simplify (+ 0 0) into 0
7.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.501 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.501 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.501 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.501 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.501 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.501 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.501 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
7.502 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
7.502 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
7.502 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
7.502 * [taylor]: Taking taylor expansion of (sin th) in ky
7.502 * [taylor]: Taking taylor expansion of th in ky
7.502 * [backup-simplify]: Simplify th into th
7.502 * [backup-simplify]: Simplify (sin th) into (sin th)
7.502 * [backup-simplify]: Simplify (cos th) into (cos th)
7.502 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.502 * [taylor]: Taking taylor expansion of ky in ky
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 1 into 1
7.502 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.502 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.502 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.502 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.502 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.502 * [taylor]: Taking taylor expansion of ky in ky
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 1 into 1
7.502 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.502 * [taylor]: Taking taylor expansion of ky in ky
7.502 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify 1 into 1
7.502 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.502 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.502 * [taylor]: Taking taylor expansion of kx in ky
7.502 * [backup-simplify]: Simplify kx into kx
7.503 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.503 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.503 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.503 * [taylor]: Taking taylor expansion of kx in ky
7.503 * [backup-simplify]: Simplify kx into kx
7.503 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.503 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.504 * [backup-simplify]: Simplify (* 0 0) into 0
7.504 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.504 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.504 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.504 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.504 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.504 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.504 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.504 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.504 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.506 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.507 * [backup-simplify]: Simplify (+ 0) into 0
7.507 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.508 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.509 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.509 * [backup-simplify]: Simplify (+ 0 0) into 0
7.509 * [backup-simplify]: Simplify (+ 0) into 0
7.510 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.511 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.512 * [backup-simplify]: Simplify (+ 0 0) into 0
7.512 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.512 * [backup-simplify]: Simplify (+ 0 0) into 0
7.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.512 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.513 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.513 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.513 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.514 * [backup-simplify]: Simplify (+ 0) into 0
7.514 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
7.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.516 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
7.516 * [backup-simplify]: Simplify (+ 0 0) into 0
7.516 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
7.516 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
7.516 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
7.517 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
7.517 * [taylor]: Taking taylor expansion of (sin th) in ky
7.517 * [taylor]: Taking taylor expansion of th in ky
7.517 * [backup-simplify]: Simplify th into th
7.517 * [backup-simplify]: Simplify (sin th) into (sin th)
7.517 * [backup-simplify]: Simplify (cos th) into (cos th)
7.517 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.517 * [taylor]: Taking taylor expansion of ky in ky
7.517 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify 1 into 1
7.517 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.517 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.517 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.517 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.517 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.517 * [taylor]: Taking taylor expansion of ky in ky
7.517 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify 1 into 1
7.517 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.517 * [taylor]: Taking taylor expansion of ky in ky
7.517 * [backup-simplify]: Simplify 0 into 0
7.517 * [backup-simplify]: Simplify 1 into 1
7.517 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.517 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.517 * [taylor]: Taking taylor expansion of kx in ky
7.517 * [backup-simplify]: Simplify kx into kx
7.518 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.518 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.518 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.518 * [taylor]: Taking taylor expansion of kx in ky
7.518 * [backup-simplify]: Simplify kx into kx
7.518 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.518 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.518 * [backup-simplify]: Simplify (* 0 0) into 0
7.518 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.518 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.519 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.519 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.519 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.519 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.519 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.519 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.519 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.520 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.521 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.522 * [backup-simplify]: Simplify (+ 0) into 0
7.522 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.523 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.523 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.524 * [backup-simplify]: Simplify (+ 0 0) into 0
7.524 * [backup-simplify]: Simplify (+ 0) into 0
7.525 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.525 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.526 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.526 * [backup-simplify]: Simplify (+ 0 0) into 0
7.526 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.527 * [backup-simplify]: Simplify (+ 0 0) into 0
7.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.527 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.527 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.527 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.527 * [backup-simplify]: Simplify (* (sin th) 0) into 0
7.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.528 * [backup-simplify]: Simplify (+ 0) into 0
7.529 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
7.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.530 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
7.531 * [backup-simplify]: Simplify (+ 0 0) into 0
7.531 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
7.531 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
7.531 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
7.531 * [taylor]: Taking taylor expansion of (sin th) in kx
7.531 * [taylor]: Taking taylor expansion of th in kx
7.531 * [backup-simplify]: Simplify th into th
7.531 * [backup-simplify]: Simplify (sin th) into (sin th)
7.531 * [backup-simplify]: Simplify (cos th) into (cos th)
7.531 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.531 * [taylor]: Taking taylor expansion of kx in kx
7.531 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify 1 into 1
7.532 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.532 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.532 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.532 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
7.533 * [backup-simplify]: Simplify (+ 0) into 0
7.533 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
7.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.534 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
7.535 * [backup-simplify]: Simplify (+ 0 0) into 0
7.536 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
7.537 * [taylor]: Taking taylor expansion of 0 in th
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.539 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
7.540 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.540 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
7.541 * [backup-simplify]: Simplify (+ 0 0) into 0
7.541 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
7.542 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
7.542 * [taylor]: Taking taylor expansion of 0 in kx
7.542 * [backup-simplify]: Simplify 0 into 0
7.542 * [taylor]: Taking taylor expansion of 0 in th
7.542 * [backup-simplify]: Simplify 0 into 0
7.542 * [backup-simplify]: Simplify 0 into 0
7.543 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.544 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
7.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.545 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
7.545 * [backup-simplify]: Simplify (+ 0 0) into 0
7.547 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
7.548 * [taylor]: Taking taylor expansion of (* 1/6 (sin th)) in th
7.549 * [taylor]: Taking taylor expansion of 1/6 in th
7.549 * [backup-simplify]: Simplify 1/6 into 1/6
7.549 * [taylor]: Taking taylor expansion of (sin th) in th
7.549 * [taylor]: Taking taylor expansion of th in th
7.549 * [backup-simplify]: Simplify 0 into 0
7.549 * [backup-simplify]: Simplify 1 into 1
7.549 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.550 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
7.550 * [backup-simplify]: Simplify 1/6 into 1/6
7.550 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.553 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.554 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.556 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.556 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.557 * [backup-simplify]: Simplify (+ 0 0) into 0
7.558 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
7.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.561 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.562 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.564 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.564 * [backup-simplify]: Simplify (+ 0 0) into 0
7.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.566 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.568 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.568 * [backup-simplify]: Simplify (+ 0 0) into 0
7.569 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.569 * [backup-simplify]: Simplify (+ 1 0) into 1
7.570 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.570 * [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)))))
7.571 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx))))) in kx
7.571 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))) in kx
7.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sin th) (pow (sin kx) 3))) in kx
7.571 * [taylor]: Taking taylor expansion of 1/2 in kx
7.571 * [backup-simplify]: Simplify 1/2 into 1/2
7.571 * [taylor]: Taking taylor expansion of (/ (sin th) (pow (sin kx) 3)) in kx
7.571 * [taylor]: Taking taylor expansion of (sin th) in kx
7.571 * [taylor]: Taking taylor expansion of th in kx
7.571 * [backup-simplify]: Simplify th into th
7.571 * [backup-simplify]: Simplify (sin th) into (sin th)
7.571 * [backup-simplify]: Simplify (cos th) into (cos th)
7.571 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
7.571 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.571 * [taylor]: Taking taylor expansion of kx in kx
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 1 into 1
7.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.572 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.572 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.572 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.573 * [backup-simplify]: Simplify (* 1 1) into 1
7.573 * [backup-simplify]: Simplify (* 1 1) into 1
7.573 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
7.573 * [taylor]: Taking taylor expansion of (* 1/6 (/ (sin th) (sin kx))) in kx
7.573 * [taylor]: Taking taylor expansion of 1/6 in kx
7.573 * [backup-simplify]: Simplify 1/6 into 1/6
7.573 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
7.573 * [taylor]: Taking taylor expansion of (sin th) in kx
7.573 * [taylor]: Taking taylor expansion of th in kx
7.573 * [backup-simplify]: Simplify th into th
7.573 * [backup-simplify]: Simplify (sin th) into (sin th)
7.573 * [backup-simplify]: Simplify (cos th) into (cos th)
7.573 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.573 * [taylor]: Taking taylor expansion of kx in kx
7.573 * [backup-simplify]: Simplify 0 into 0
7.573 * [backup-simplify]: Simplify 1 into 1
7.574 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
7.574 * [backup-simplify]: Simplify (* (cos th) 0) into 0
7.574 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
7.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.575 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
7.575 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.576 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.577 * [backup-simplify]: Simplify (+ 0) into 0
7.578 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.579 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.580 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.582 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.582 * [backup-simplify]: Simplify (+ 0 0) into 0
7.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.585 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
7.589 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
7.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
7.592 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
7.592 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
7.592 * [backup-simplify]: Simplify (+ 0 0) into 0
7.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
7.595 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
7.596 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
7.597 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
7.597 * [backup-simplify]: Simplify (+ 0 0) into 0
7.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/2 1)) (* 0 (/ 0 1)))) into (* 1/2 (sin th))
7.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)) (* 0 (/ -1/2 1)) (* (* 1/2 (sin th)) (/ 0 1)))) into 0
7.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* 1/2 (sin th))) (+ (* 0 0) (* 0 (sin th))))) into 0
7.602 * [backup-simplify]: Simplify (+ 0) into 0
7.602 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
7.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.604 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
7.604 * [backup-simplify]: Simplify (+ 0 0) into 0
7.605 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
7.606 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (sin th))) into 0
7.606 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (- 0) into 0
7.607 * [taylor]: Taking taylor expansion of 0 in th
7.607 * [backup-simplify]: Simplify 0 into 0
7.607 * [backup-simplify]: Simplify 0 into 0
7.607 * [taylor]: Taking taylor expansion of 0 in th
7.607 * [backup-simplify]: Simplify 0 into 0
7.607 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.609 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.615 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.616 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.617 * [backup-simplify]: Simplify (+ 0 0) into 0
7.618 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)) (* 0 (/ -1/6 1)) (* (* 1/6 (sin th)) (/ 0 1)))) into 0
7.621 * [taylor]: Taking taylor expansion of 0 in th
7.621 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify 0 into 0
7.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.623 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) into 0
7.623 * [backup-simplify]: Simplify 0 into 0
7.623 * [backup-simplify]: Simplify (* 1/6 (* th (* kx ky))) into (* 1/6 (* kx (* ky th)))
7.623 * [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))))
7.623 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx th) around 0
7.623 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
7.623 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
7.623 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
7.623 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.623 * [taylor]: Taking taylor expansion of th in th
7.623 * [backup-simplify]: Simplify 0 into 0
7.624 * [backup-simplify]: Simplify 1 into 1
7.624 * [backup-simplify]: Simplify (/ 1 1) into 1
7.624 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.624 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.624 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.624 * [taylor]: Taking taylor expansion of ky in th
7.624 * [backup-simplify]: Simplify ky into ky
7.624 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.624 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.625 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.625 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
7.625 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.625 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
7.625 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
7.625 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.625 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.625 * [taylor]: Taking taylor expansion of ky in th
7.625 * [backup-simplify]: Simplify ky into ky
7.625 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.625 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.625 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.625 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.625 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.625 * [taylor]: Taking taylor expansion of ky in th
7.625 * [backup-simplify]: Simplify ky into ky
7.625 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.625 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.626 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.626 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
7.626 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.626 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.626 * [taylor]: Taking taylor expansion of kx in th
7.626 * [backup-simplify]: Simplify kx into kx
7.626 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.626 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.626 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.626 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.626 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.626 * [taylor]: Taking taylor expansion of kx in th
7.626 * [backup-simplify]: Simplify kx into kx
7.626 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.626 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.626 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.626 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.626 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.626 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.627 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.627 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.627 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.627 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.627 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.627 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.627 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.627 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.627 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.627 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.628 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.628 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.628 * [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)))
7.629 * [backup-simplify]: Simplify (+ 0) into 0
7.629 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.631 * [backup-simplify]: Simplify (+ 0 0) into 0
7.632 * [backup-simplify]: Simplify (+ 0) into 0
7.632 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.634 * [backup-simplify]: Simplify (+ 0 0) into 0
7.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.635 * [backup-simplify]: Simplify (+ 0) into 0
7.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.637 * [backup-simplify]: Simplify (+ 0 0) into 0
7.637 * [backup-simplify]: Simplify (+ 0) into 0
7.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.639 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.640 * [backup-simplify]: Simplify (+ 0 0) into 0
7.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.640 * [backup-simplify]: Simplify (+ 0 0) into 0
7.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.641 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.641 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.641 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.641 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.641 * [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)))))
7.642 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
7.642 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
7.642 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
7.642 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
7.642 * [taylor]: Taking taylor expansion of th in kx
7.642 * [backup-simplify]: Simplify th into th
7.642 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.642 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.642 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.642 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.642 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.642 * [taylor]: Taking taylor expansion of ky in kx
7.642 * [backup-simplify]: Simplify ky into ky
7.642 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.642 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.642 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.642 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.642 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.642 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.642 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.642 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.642 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.643 * [taylor]: Taking taylor expansion of ky in kx
7.643 * [backup-simplify]: Simplify ky into ky
7.643 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.643 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.643 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.643 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.643 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.643 * [taylor]: Taking taylor expansion of ky in kx
7.643 * [backup-simplify]: Simplify ky into ky
7.643 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.643 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.643 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.643 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.643 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.643 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.643 * [taylor]: Taking taylor expansion of kx in kx
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 1 into 1
7.644 * [backup-simplify]: Simplify (/ 1 1) into 1
7.644 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.644 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.644 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.644 * [taylor]: Taking taylor expansion of kx in kx
7.644 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify 1 into 1
7.644 * [backup-simplify]: Simplify (/ 1 1) into 1
7.644 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.645 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.645 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.645 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.645 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.645 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.645 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.645 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.645 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.646 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.646 * [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)))
7.647 * [backup-simplify]: Simplify (+ 0) into 0
7.647 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.648 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.648 * [backup-simplify]: Simplify (+ 0 0) into 0
7.648 * [backup-simplify]: Simplify (+ 0) into 0
7.649 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.650 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.650 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.650 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.651 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.651 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.651 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.651 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.651 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.651 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.651 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.651 * [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)))))
7.651 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.651 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
7.651 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
7.651 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
7.651 * [taylor]: Taking taylor expansion of th in ky
7.651 * [backup-simplify]: Simplify th into th
7.651 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.651 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.651 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.651 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.651 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.651 * [taylor]: Taking taylor expansion of ky in ky
7.651 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 1 into 1
7.652 * [backup-simplify]: Simplify (/ 1 1) into 1
7.652 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.652 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.652 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.652 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.652 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.652 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.652 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.652 * [taylor]: Taking taylor expansion of ky in ky
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 1 into 1
7.652 * [backup-simplify]: Simplify (/ 1 1) into 1
7.652 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.652 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.652 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.652 * [taylor]: Taking taylor expansion of ky in ky
7.652 * [backup-simplify]: Simplify 0 into 0
7.652 * [backup-simplify]: Simplify 1 into 1
7.653 * [backup-simplify]: Simplify (/ 1 1) into 1
7.653 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.653 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.653 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.653 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.653 * [taylor]: Taking taylor expansion of kx in ky
7.653 * [backup-simplify]: Simplify kx into kx
7.653 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.653 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.653 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.653 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.653 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.653 * [taylor]: Taking taylor expansion of kx in ky
7.653 * [backup-simplify]: Simplify kx into kx
7.653 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.653 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.653 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.653 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.653 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.653 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.653 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.653 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.653 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.653 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.654 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.654 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.654 * [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)))
7.654 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.654 * [backup-simplify]: Simplify (+ 0) into 0
7.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.655 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.656 * [backup-simplify]: Simplify (+ 0 0) into 0
7.656 * [backup-simplify]: Simplify (+ 0) into 0
7.656 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.657 * [backup-simplify]: Simplify (+ 0 0) into 0
7.657 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.658 * [backup-simplify]: Simplify (+ 0 0) into 0
7.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.658 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.658 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.658 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.658 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.658 * [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)))))
7.658 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
7.658 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
7.659 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
7.659 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
7.659 * [taylor]: Taking taylor expansion of th in ky
7.659 * [backup-simplify]: Simplify th into th
7.659 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.659 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.659 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.659 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.659 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.659 * [taylor]: Taking taylor expansion of ky in ky
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 1 into 1
7.659 * [backup-simplify]: Simplify (/ 1 1) into 1
7.659 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.659 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.659 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.659 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.659 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.659 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.659 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.659 * [taylor]: Taking taylor expansion of ky in ky
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 1 into 1
7.660 * [backup-simplify]: Simplify (/ 1 1) into 1
7.660 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.660 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.660 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.660 * [taylor]: Taking taylor expansion of ky in ky
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 1 into 1
7.660 * [backup-simplify]: Simplify (/ 1 1) into 1
7.660 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.660 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.660 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.660 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.660 * [taylor]: Taking taylor expansion of kx in ky
7.660 * [backup-simplify]: Simplify kx into kx
7.660 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.660 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.660 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.660 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.660 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.660 * [taylor]: Taking taylor expansion of kx in ky
7.660 * [backup-simplify]: Simplify kx into kx
7.660 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.660 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.660 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.660 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.660 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.661 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.661 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.661 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.661 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.661 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.661 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.661 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.661 * [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)))
7.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.661 * [backup-simplify]: Simplify (+ 0) into 0
7.662 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.663 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.663 * [backup-simplify]: Simplify (+ 0 0) into 0
7.663 * [backup-simplify]: Simplify (+ 0) into 0
7.664 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.665 * [backup-simplify]: Simplify (+ 0 0) into 0
7.665 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.665 * [backup-simplify]: Simplify (+ 0 0) into 0
7.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.665 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.665 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.665 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.665 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.666 * [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)))))
7.666 * [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
7.666 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
7.666 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
7.666 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
7.666 * [taylor]: Taking taylor expansion of th in kx
7.666 * [backup-simplify]: Simplify th into th
7.666 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
7.666 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.666 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
7.666 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.666 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.666 * [taylor]: Taking taylor expansion of ky in kx
7.666 * [backup-simplify]: Simplify ky into ky
7.666 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.666 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.666 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
7.666 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.666 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.666 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.666 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.666 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.666 * [taylor]: Taking taylor expansion of kx in kx
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 1 into 1
7.667 * [backup-simplify]: Simplify (/ 1 1) into 1
7.667 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.667 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.667 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.667 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.667 * [taylor]: Taking taylor expansion of ky in kx
7.667 * [backup-simplify]: Simplify ky into ky
7.667 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.667 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.667 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.667 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.667 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.667 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.667 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.667 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.667 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.667 * [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)))
7.668 * [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))))
7.668 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.668 * [backup-simplify]: Simplify (+ 0) into 0
7.668 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.669 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.669 * [backup-simplify]: Simplify (+ 0 0) into 0
7.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.670 * [backup-simplify]: Simplify (+ 0 0) into 0
7.670 * [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
7.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.670 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
7.671 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
7.671 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
7.671 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.671 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.671 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.671 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.671 * [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)))))
7.671 * [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
7.671 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
7.671 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
7.671 * [taylor]: Taking taylor expansion of (/ 1 th) in th
7.671 * [taylor]: Taking taylor expansion of th in th
7.671 * [backup-simplify]: Simplify 0 into 0
7.671 * [backup-simplify]: Simplify 1 into 1
7.671 * [backup-simplify]: Simplify (/ 1 1) into 1
7.672 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
7.672 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.672 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.672 * [taylor]: Taking taylor expansion of ky in th
7.672 * [backup-simplify]: Simplify ky into ky
7.672 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.672 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.672 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
7.672 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
7.672 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
7.672 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
7.672 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
7.672 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
7.672 * [taylor]: Taking taylor expansion of kx in th
7.672 * [backup-simplify]: Simplify kx into kx
7.672 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.672 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.672 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.672 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.672 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.672 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.672 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
7.672 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
7.672 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
7.672 * [taylor]: Taking taylor expansion of ky in th
7.672 * [backup-simplify]: Simplify ky into ky
7.672 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.672 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.672 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.672 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.672 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.672 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.672 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.673 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.673 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.673 * [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)))
7.673 * [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))))
7.673 * [backup-simplify]: Simplify (+ 0) into 0
7.674 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.675 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.675 * [backup-simplify]: Simplify (+ 0 0) into 0
7.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.676 * [backup-simplify]: Simplify (+ 0) into 0
7.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.677 * [backup-simplify]: Simplify (+ 0 0) into 0
7.677 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.677 * [backup-simplify]: Simplify (+ 0 0) into 0
7.678 * [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
7.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.678 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.678 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.678 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.678 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
7.678 * [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)))))
7.679 * [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)))))
7.679 * [backup-simplify]: Simplify (+ 0) into 0
7.680 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
7.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
7.682 * [backup-simplify]: Simplify (+ 0 0) into 0
7.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.683 * [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
7.683 * [taylor]: Taking taylor expansion of 0 in kx
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [taylor]: Taking taylor expansion of 0 in th
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify (+ 0) into 0
7.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.686 * [backup-simplify]: Simplify (+ 0 0) into 0
7.686 * [backup-simplify]: Simplify (+ 0) into 0
7.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
7.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
7.688 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.688 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
7.688 * [backup-simplify]: Simplify (+ 0 0) into 0
7.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.689 * [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
7.689 * [taylor]: Taking taylor expansion of 0 in th
7.689 * [backup-simplify]: Simplify 0 into 0
7.689 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify (+ 0) into 0
7.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.692 * [backup-simplify]: Simplify (+ 0 0) into 0
7.692 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.693 * [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
7.693 * [backup-simplify]: Simplify 0 into 0
7.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.696 * [backup-simplify]: Simplify (+ 0 0) into 0
7.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.698 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.700 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.701 * [backup-simplify]: Simplify (+ 0 0) into 0
7.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.703 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.704 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.704 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.704 * [backup-simplify]: Simplify (+ 0 0) into 0
7.705 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.705 * [backup-simplify]: Simplify (+ 0 0) into 0
7.706 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.708 * [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
7.708 * [taylor]: Taking taylor expansion of 0 in kx
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [taylor]: Taking taylor expansion of 0 in th
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [taylor]: Taking taylor expansion of 0 in th
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 0 into 0
7.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.711 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.712 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.712 * [backup-simplify]: Simplify (+ 0 0) into 0
7.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.713 * [backup-simplify]: Simplify (+ 0 0) into 0
7.714 * [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
7.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
7.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.717 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.717 * [backup-simplify]: Simplify (+ 0 0) into 0
7.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.719 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.719 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.720 * [backup-simplify]: Simplify (+ 0 0) into 0
7.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.721 * [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
7.721 * [taylor]: Taking taylor expansion of 0 in th
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [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)))
7.721 * [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))))
7.721 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx th) around 0
7.721 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
7.721 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
7.721 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
7.721 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.721 * [taylor]: Taking taylor expansion of -1 in th
7.721 * [backup-simplify]: Simplify -1 into -1
7.721 * [taylor]: Taking taylor expansion of th in th
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [backup-simplify]: Simplify 1 into 1
7.722 * [backup-simplify]: Simplify (/ -1 1) into -1
7.722 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.722 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.722 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.722 * [taylor]: Taking taylor expansion of -1 in th
7.722 * [backup-simplify]: Simplify -1 into -1
7.722 * [taylor]: Taking taylor expansion of ky in th
7.722 * [backup-simplify]: Simplify ky into ky
7.722 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.722 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.722 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.722 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
7.722 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.722 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
7.722 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
7.722 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.722 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.722 * [taylor]: Taking taylor expansion of -1 in th
7.722 * [backup-simplify]: Simplify -1 into -1
7.722 * [taylor]: Taking taylor expansion of ky in th
7.722 * [backup-simplify]: Simplify ky into ky
7.722 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.722 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.722 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.722 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.722 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.722 * [taylor]: Taking taylor expansion of -1 in th
7.722 * [backup-simplify]: Simplify -1 into -1
7.722 * [taylor]: Taking taylor expansion of ky in th
7.722 * [backup-simplify]: Simplify ky into ky
7.722 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.722 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.722 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.722 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
7.722 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.722 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.722 * [taylor]: Taking taylor expansion of -1 in th
7.723 * [backup-simplify]: Simplify -1 into -1
7.723 * [taylor]: Taking taylor expansion of kx in th
7.723 * [backup-simplify]: Simplify kx into kx
7.723 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.723 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.723 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.723 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.723 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.723 * [taylor]: Taking taylor expansion of -1 in th
7.723 * [backup-simplify]: Simplify -1 into -1
7.723 * [taylor]: Taking taylor expansion of kx in th
7.723 * [backup-simplify]: Simplify kx into kx
7.723 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.723 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.723 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.723 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.723 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.723 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.723 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.723 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.723 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.723 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.723 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.723 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.723 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.723 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.723 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.723 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.724 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.724 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.724 * [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)))
7.724 * [backup-simplify]: Simplify (+ 0) into 0
7.725 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.725 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.726 * [backup-simplify]: Simplify (+ 0 0) into 0
7.726 * [backup-simplify]: Simplify (+ 0) into 0
7.726 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.726 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.727 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.727 * [backup-simplify]: Simplify (+ 0 0) into 0
7.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.728 * [backup-simplify]: Simplify (+ 0) into 0
7.728 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.728 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.729 * [backup-simplify]: Simplify (+ 0 0) into 0
7.729 * [backup-simplify]: Simplify (+ 0) into 0
7.730 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.730 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.730 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.731 * [backup-simplify]: Simplify (+ 0 0) into 0
7.731 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.731 * [backup-simplify]: Simplify (+ 0 0) into 0
7.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.731 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.732 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.732 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.732 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.732 * [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)))))
7.732 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
7.732 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
7.732 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
7.732 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
7.732 * [taylor]: Taking taylor expansion of -1 in kx
7.732 * [backup-simplify]: Simplify -1 into -1
7.732 * [taylor]: Taking taylor expansion of th in kx
7.732 * [backup-simplify]: Simplify th into th
7.732 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.732 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.732 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.732 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.732 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.732 * [taylor]: Taking taylor expansion of -1 in kx
7.732 * [backup-simplify]: Simplify -1 into -1
7.732 * [taylor]: Taking taylor expansion of ky in kx
7.732 * [backup-simplify]: Simplify ky into ky
7.732 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.732 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.732 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.732 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.732 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.732 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.732 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.732 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.733 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.733 * [taylor]: Taking taylor expansion of -1 in kx
7.733 * [backup-simplify]: Simplify -1 into -1
7.733 * [taylor]: Taking taylor expansion of ky in kx
7.733 * [backup-simplify]: Simplify ky into ky
7.733 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.733 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.733 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.733 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.733 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.733 * [taylor]: Taking taylor expansion of -1 in kx
7.733 * [backup-simplify]: Simplify -1 into -1
7.733 * [taylor]: Taking taylor expansion of ky in kx
7.733 * [backup-simplify]: Simplify ky into ky
7.733 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.733 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.733 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.733 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.733 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.733 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.733 * [taylor]: Taking taylor expansion of -1 in kx
7.733 * [backup-simplify]: Simplify -1 into -1
7.733 * [taylor]: Taking taylor expansion of kx in kx
7.733 * [backup-simplify]: Simplify 0 into 0
7.733 * [backup-simplify]: Simplify 1 into 1
7.733 * [backup-simplify]: Simplify (/ -1 1) into -1
7.733 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.733 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.733 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.733 * [taylor]: Taking taylor expansion of -1 in kx
7.733 * [backup-simplify]: Simplify -1 into -1
7.733 * [taylor]: Taking taylor expansion of kx in kx
7.733 * [backup-simplify]: Simplify 0 into 0
7.733 * [backup-simplify]: Simplify 1 into 1
7.734 * [backup-simplify]: Simplify (/ -1 1) into -1
7.734 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.734 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.734 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.734 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.734 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.734 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.734 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.734 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.734 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.735 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.735 * [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)))
7.735 * [backup-simplify]: Simplify (+ 0) into 0
7.735 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.736 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.736 * [backup-simplify]: Simplify (+ 0 0) into 0
7.737 * [backup-simplify]: Simplify (+ 0) into 0
7.737 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.737 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.738 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.739 * [backup-simplify]: Simplify (+ 0 0) into 0
7.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.739 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.739 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.739 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.739 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.739 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.739 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.739 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.739 * [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)))))
7.739 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.739 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
7.739 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
7.739 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
7.740 * [taylor]: Taking taylor expansion of -1 in ky
7.740 * [backup-simplify]: Simplify -1 into -1
7.740 * [taylor]: Taking taylor expansion of th in ky
7.740 * [backup-simplify]: Simplify th into th
7.740 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.740 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.740 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.740 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.740 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.740 * [taylor]: Taking taylor expansion of -1 in ky
7.740 * [backup-simplify]: Simplify -1 into -1
7.740 * [taylor]: Taking taylor expansion of ky in ky
7.740 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify 1 into 1
7.740 * [backup-simplify]: Simplify (/ -1 1) into -1
7.740 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.740 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.740 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.740 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.740 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.740 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.740 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.740 * [taylor]: Taking taylor expansion of -1 in ky
7.740 * [backup-simplify]: Simplify -1 into -1
7.740 * [taylor]: Taking taylor expansion of ky in ky
7.740 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (/ -1 1) into -1
7.743 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.743 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.743 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.743 * [taylor]: Taking taylor expansion of -1 in ky
7.743 * [backup-simplify]: Simplify -1 into -1
7.743 * [taylor]: Taking taylor expansion of ky in ky
7.743 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.744 * [backup-simplify]: Simplify (/ -1 1) into -1
7.744 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.744 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.744 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.744 * [taylor]: Taking taylor expansion of -1 in ky
7.744 * [backup-simplify]: Simplify -1 into -1
7.744 * [taylor]: Taking taylor expansion of kx in ky
7.744 * [backup-simplify]: Simplify kx into kx
7.744 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.744 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.744 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.744 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.744 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.744 * [taylor]: Taking taylor expansion of -1 in ky
7.744 * [backup-simplify]: Simplify -1 into -1
7.744 * [taylor]: Taking taylor expansion of kx in ky
7.744 * [backup-simplify]: Simplify kx into kx
7.744 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.744 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.744 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.745 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.745 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.745 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.745 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.745 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.745 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.745 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.745 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.745 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.745 * [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)))
7.745 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.746 * [backup-simplify]: Simplify (+ 0) into 0
7.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.746 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.747 * [backup-simplify]: Simplify (+ 0 0) into 0
7.747 * [backup-simplify]: Simplify (+ 0) into 0
7.748 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.748 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.749 * [backup-simplify]: Simplify (+ 0 0) into 0
7.749 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.749 * [backup-simplify]: Simplify (+ 0 0) into 0
7.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.749 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.749 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.749 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.750 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.750 * [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)))))
7.750 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
7.750 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
7.750 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
7.750 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
7.750 * [taylor]: Taking taylor expansion of -1 in ky
7.750 * [backup-simplify]: Simplify -1 into -1
7.750 * [taylor]: Taking taylor expansion of th in ky
7.750 * [backup-simplify]: Simplify th into th
7.750 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.750 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.750 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.750 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.750 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.750 * [taylor]: Taking taylor expansion of -1 in ky
7.750 * [backup-simplify]: Simplify -1 into -1
7.750 * [taylor]: Taking taylor expansion of ky in ky
7.750 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify 1 into 1
7.750 * [backup-simplify]: Simplify (/ -1 1) into -1
7.750 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.751 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.751 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.751 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.751 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.751 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.751 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.751 * [taylor]: Taking taylor expansion of -1 in ky
7.751 * [backup-simplify]: Simplify -1 into -1
7.751 * [taylor]: Taking taylor expansion of ky in ky
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [backup-simplify]: Simplify (/ -1 1) into -1
7.751 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.751 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.751 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.751 * [taylor]: Taking taylor expansion of -1 in ky
7.751 * [backup-simplify]: Simplify -1 into -1
7.751 * [taylor]: Taking taylor expansion of ky in ky
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [backup-simplify]: Simplify (/ -1 1) into -1
7.752 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.752 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.752 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.752 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.752 * [taylor]: Taking taylor expansion of -1 in ky
7.752 * [backup-simplify]: Simplify -1 into -1
7.752 * [taylor]: Taking taylor expansion of kx in ky
7.752 * [backup-simplify]: Simplify kx into kx
7.752 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.752 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.752 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.752 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.752 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.752 * [taylor]: Taking taylor expansion of -1 in ky
7.752 * [backup-simplify]: Simplify -1 into -1
7.752 * [taylor]: Taking taylor expansion of kx in ky
7.752 * [backup-simplify]: Simplify kx into kx
7.752 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.752 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.752 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.752 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.752 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.752 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.752 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.752 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.752 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.752 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.752 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.753 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.753 * [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)))
7.753 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.753 * [backup-simplify]: Simplify (+ 0) into 0
7.753 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.754 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.754 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.754 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.755 * [backup-simplify]: Simplify (+ 0 0) into 0
7.755 * [backup-simplify]: Simplify (+ 0) into 0
7.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.756 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.756 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.757 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.757 * [backup-simplify]: Simplify (+ 0 0) into 0
7.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.758 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.758 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.758 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.759 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.759 * [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)))))
7.759 * [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
7.759 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
7.759 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
7.759 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
7.759 * [taylor]: Taking taylor expansion of -1 in kx
7.759 * [backup-simplify]: Simplify -1 into -1
7.759 * [taylor]: Taking taylor expansion of th in kx
7.759 * [backup-simplify]: Simplify th into th
7.759 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
7.760 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.760 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
7.760 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.760 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.760 * [taylor]: Taking taylor expansion of -1 in kx
7.760 * [backup-simplify]: Simplify -1 into -1
7.760 * [taylor]: Taking taylor expansion of ky in kx
7.760 * [backup-simplify]: Simplify ky into ky
7.760 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.760 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.760 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.760 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
7.760 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.760 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.760 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.760 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.760 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.760 * [taylor]: Taking taylor expansion of -1 in kx
7.760 * [backup-simplify]: Simplify -1 into -1
7.760 * [taylor]: Taking taylor expansion of kx in kx
7.760 * [backup-simplify]: Simplify 0 into 0
7.760 * [backup-simplify]: Simplify 1 into 1
7.761 * [backup-simplify]: Simplify (/ -1 1) into -1
7.761 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.761 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.761 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.761 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.761 * [taylor]: Taking taylor expansion of -1 in kx
7.761 * [backup-simplify]: Simplify -1 into -1
7.761 * [taylor]: Taking taylor expansion of ky in kx
7.761 * [backup-simplify]: Simplify ky into ky
7.761 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.761 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.761 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.761 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.762 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.762 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.762 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.762 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.762 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.763 * [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)))
7.763 * [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))))
7.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.764 * [backup-simplify]: Simplify (+ 0) into 0
7.764 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.764 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.766 * [backup-simplify]: Simplify (+ 0 0) into 0
7.766 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.767 * [backup-simplify]: Simplify (+ 0 0) into 0
7.767 * [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
7.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.768 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
7.768 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
7.768 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
7.768 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.768 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.768 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.768 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.769 * [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)))))
7.769 * [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
7.769 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
7.769 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
7.769 * [taylor]: Taking taylor expansion of (/ -1 th) in th
7.769 * [taylor]: Taking taylor expansion of -1 in th
7.769 * [backup-simplify]: Simplify -1 into -1
7.769 * [taylor]: Taking taylor expansion of th in th
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 1 into 1
7.770 * [backup-simplify]: Simplify (/ -1 1) into -1
7.770 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
7.770 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.770 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.770 * [taylor]: Taking taylor expansion of -1 in th
7.770 * [backup-simplify]: Simplify -1 into -1
7.770 * [taylor]: Taking taylor expansion of ky in th
7.770 * [backup-simplify]: Simplify ky into ky
7.770 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.770 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.770 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.770 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
7.770 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
7.770 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
7.770 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
7.770 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
7.770 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
7.770 * [taylor]: Taking taylor expansion of -1 in th
7.770 * [backup-simplify]: Simplify -1 into -1
7.770 * [taylor]: Taking taylor expansion of kx in th
7.770 * [backup-simplify]: Simplify kx into kx
7.771 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.771 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.771 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.771 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.771 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.771 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.771 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
7.771 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
7.771 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
7.771 * [taylor]: Taking taylor expansion of -1 in th
7.771 * [backup-simplify]: Simplify -1 into -1
7.771 * [taylor]: Taking taylor expansion of ky in th
7.771 * [backup-simplify]: Simplify ky into ky
7.771 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.771 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.771 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.771 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.772 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.772 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.772 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.772 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.772 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.773 * [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)))
7.773 * [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))))
7.773 * [backup-simplify]: Simplify (+ 0) into 0
7.774 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.774 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.775 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.776 * [backup-simplify]: Simplify (+ 0 0) into 0
7.776 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.776 * [backup-simplify]: Simplify (+ 0) into 0
7.777 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.777 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.778 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.779 * [backup-simplify]: Simplify (+ 0 0) into 0
7.779 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.779 * [backup-simplify]: Simplify (+ 0 0) into 0
7.780 * [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
7.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.781 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.781 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.781 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.781 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
7.781 * [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)))))
7.782 * [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)))))
7.782 * [backup-simplify]: Simplify (+ 0) into 0
7.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
7.783 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
7.785 * [backup-simplify]: Simplify (+ 0 0) into 0
7.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.786 * [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
7.786 * [taylor]: Taking taylor expansion of 0 in kx
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [taylor]: Taking taylor expansion of 0 in th
7.787 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify (+ 0) into 0
7.787 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.788 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.789 * [backup-simplify]: Simplify (+ 0 0) into 0
7.790 * [backup-simplify]: Simplify (+ 0) into 0
7.790 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
7.790 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
7.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
7.792 * [backup-simplify]: Simplify (+ 0 0) into 0
7.792 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.793 * [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
7.793 * [taylor]: Taking taylor expansion of 0 in th
7.793 * [backup-simplify]: Simplify 0 into 0
7.793 * [backup-simplify]: Simplify 0 into 0
7.793 * [backup-simplify]: Simplify (+ 0) into 0
7.794 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.794 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.795 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.795 * [backup-simplify]: Simplify (+ 0 0) into 0
7.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.796 * [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
7.796 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.798 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.798 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.799 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.800 * [backup-simplify]: Simplify (+ 0 0) into 0
7.800 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.801 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.803 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.803 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.804 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.804 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.805 * [backup-simplify]: Simplify (+ 0 0) into 0
7.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.807 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.808 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.808 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.808 * [backup-simplify]: Simplify (+ 0 0) into 0
7.809 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.809 * [backup-simplify]: Simplify (+ 0 0) into 0
7.810 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.812 * [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
7.812 * [taylor]: Taking taylor expansion of 0 in kx
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [taylor]: Taking taylor expansion of 0 in th
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [taylor]: Taking taylor expansion of 0 in th
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [backup-simplify]: Simplify 0 into 0
7.813 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.815 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.815 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.816 * [backup-simplify]: Simplify (+ 0 0) into 0
7.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.817 * [backup-simplify]: Simplify (+ 0 0) into 0
7.818 * [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
7.819 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
7.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.821 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.821 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.822 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.822 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.823 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
7.824 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
7.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.826 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
7.826 * [backup-simplify]: Simplify (+ 0 0) into 0
7.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.828 * [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
7.828 * [taylor]: Taking taylor expansion of 0 in th
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [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)))
7.828 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
7.829 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
7.829 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
7.829 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.829 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.829 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.829 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.829 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.829 * [taylor]: Taking taylor expansion of ky in kx
7.829 * [backup-simplify]: Simplify ky into ky
7.829 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.829 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.829 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.829 * [taylor]: Taking taylor expansion of ky in kx
7.829 * [backup-simplify]: Simplify ky into ky
7.829 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.829 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.829 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.829 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.829 * [taylor]: Taking taylor expansion of kx in kx
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 1 into 1
7.829 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.829 * [taylor]: Taking taylor expansion of kx in kx
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 1 into 1
7.829 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.830 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.830 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.830 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.830 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.830 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.830 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.830 * [backup-simplify]: Simplify (* 0 0) into 0
7.831 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.831 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.831 * [backup-simplify]: Simplify (+ 0) into 0
7.832 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.833 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.833 * [backup-simplify]: Simplify (+ 0 0) into 0
7.834 * [backup-simplify]: Simplify (+ 0) into 0
7.834 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.835 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.836 * [backup-simplify]: Simplify (+ 0 0) into 0
7.836 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.838 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.838 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.838 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.838 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.839 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.839 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.839 * [taylor]: Taking taylor expansion of ky in ky
7.839 * [backup-simplify]: Simplify 0 into 0
7.839 * [backup-simplify]: Simplify 1 into 1
7.839 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.839 * [taylor]: Taking taylor expansion of ky in ky
7.839 * [backup-simplify]: Simplify 0 into 0
7.839 * [backup-simplify]: Simplify 1 into 1
7.839 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.839 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.839 * [taylor]: Taking taylor expansion of kx in ky
7.839 * [backup-simplify]: Simplify kx into kx
7.839 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.839 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.839 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.839 * [taylor]: Taking taylor expansion of kx in ky
7.839 * [backup-simplify]: Simplify kx into kx
7.839 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.839 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.839 * [backup-simplify]: Simplify (* 0 0) into 0
7.840 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.840 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.840 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.840 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.840 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.840 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.840 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.840 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.840 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.843 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.843 * [backup-simplify]: Simplify (+ 0) into 0
7.843 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.845 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.845 * [backup-simplify]: Simplify (+ 0 0) into 0
7.846 * [backup-simplify]: Simplify (+ 0) into 0
7.846 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.848 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.848 * [backup-simplify]: Simplify (+ 0 0) into 0
7.848 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.849 * [backup-simplify]: Simplify (+ 0 0) into 0
7.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.849 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.849 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.849 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.849 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.849 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.849 * [taylor]: Taking taylor expansion of ky in ky
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.849 * [taylor]: Taking taylor expansion of ky in ky
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.849 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.849 * [taylor]: Taking taylor expansion of kx in ky
7.849 * [backup-simplify]: Simplify kx into kx
7.849 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.849 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.849 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.849 * [taylor]: Taking taylor expansion of kx in ky
7.850 * [backup-simplify]: Simplify kx into kx
7.850 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.850 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.850 * [backup-simplify]: Simplify (* 0 0) into 0
7.850 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.850 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.850 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.850 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.850 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.850 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.851 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.851 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.851 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.853 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.853 * [backup-simplify]: Simplify (+ 0) into 0
7.854 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.855 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.855 * [backup-simplify]: Simplify (+ 0 0) into 0
7.856 * [backup-simplify]: Simplify (+ 0) into 0
7.856 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.858 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.858 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.859 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.859 * [taylor]: Taking taylor expansion of kx in kx
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 1 into 1
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [taylor]: Taking taylor expansion of 0 in kx
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.860 * [backup-simplify]: Simplify 1 into 1
7.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.864 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.865 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.865 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.866 * [backup-simplify]: Simplify (+ 0 0) into 0
7.867 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.867 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.868 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.869 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.869 * [backup-simplify]: Simplify (+ 0 0) into 0
7.870 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.870 * [backup-simplify]: Simplify (+ 1 0) into 1
7.871 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.871 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
7.871 * [taylor]: Taking taylor expansion of 1/2 in kx
7.871 * [backup-simplify]: Simplify 1/2 into 1/2
7.871 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.871 * [taylor]: Taking taylor expansion of kx in kx
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.872 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 0 into 0
7.875 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.875 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.878 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.880 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
7.881 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.882 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.884 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.886 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.889 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.889 * [backup-simplify]: Simplify (+ 0 0) into 0
7.890 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.894 * [backup-simplify]: Simplify (+ 0 0) into 0
7.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.895 * [taylor]: Taking taylor expansion of 0 in kx
7.895 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify 0 into 0
7.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
7.898 * [backup-simplify]: Simplify 1/12 into 1/12
7.898 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.899 * [backup-simplify]: Simplify -1/6 into -1/6
7.900 * [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)))
7.900 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
7.900 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
7.900 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.900 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.900 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.900 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.900 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.900 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.900 * [taylor]: Taking taylor expansion of ky in kx
7.900 * [backup-simplify]: Simplify ky into ky
7.900 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.900 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.900 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.900 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.900 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.900 * [taylor]: Taking taylor expansion of ky in kx
7.900 * [backup-simplify]: Simplify ky into ky
7.900 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.900 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.900 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.900 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.900 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.900 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.900 * [taylor]: Taking taylor expansion of kx in kx
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.901 * [backup-simplify]: Simplify (/ 1 1) into 1
7.901 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.901 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.901 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.901 * [taylor]: Taking taylor expansion of kx in kx
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 1 into 1
7.901 * [backup-simplify]: Simplify (/ 1 1) into 1
7.901 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.901 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.901 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.901 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.901 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.901 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.901 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.901 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.901 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.902 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.902 * [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)))
7.902 * [backup-simplify]: Simplify (+ 0) into 0
7.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.903 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.903 * [backup-simplify]: Simplify (+ 0 0) into 0
7.904 * [backup-simplify]: Simplify (+ 0) into 0
7.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.905 * [backup-simplify]: Simplify (+ 0 0) into 0
7.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.906 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.906 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.906 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.906 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.906 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.906 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.906 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.906 * [taylor]: Taking taylor expansion of ky in ky
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 1 into 1
7.906 * [backup-simplify]: Simplify (/ 1 1) into 1
7.907 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.907 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.907 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.907 * [taylor]: Taking taylor expansion of ky in ky
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.907 * [backup-simplify]: Simplify (/ 1 1) into 1
7.907 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.907 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.907 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.907 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.907 * [taylor]: Taking taylor expansion of kx in ky
7.907 * [backup-simplify]: Simplify kx into kx
7.907 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.907 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.907 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.907 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.907 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.907 * [taylor]: Taking taylor expansion of kx in ky
7.907 * [backup-simplify]: Simplify kx into kx
7.907 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.907 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.907 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.907 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.907 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.907 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.908 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.908 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.908 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.908 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.908 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.908 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.908 * [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)))
7.908 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.908 * [backup-simplify]: Simplify (+ 0) into 0
7.909 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.910 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.910 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (+ 0) into 0
7.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.911 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.911 * [backup-simplify]: Simplify (+ 0 0) into 0
7.912 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.912 * [backup-simplify]: Simplify (+ 0 0) into 0
7.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.912 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.912 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.912 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.912 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.912 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.912 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.912 * [taylor]: Taking taylor expansion of ky in ky
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.912 * [backup-simplify]: Simplify (/ 1 1) into 1
7.913 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.913 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.913 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.913 * [taylor]: Taking taylor expansion of ky in ky
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify 1 into 1
7.913 * [backup-simplify]: Simplify (/ 1 1) into 1
7.913 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.913 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.913 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.913 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.913 * [taylor]: Taking taylor expansion of kx in ky
7.913 * [backup-simplify]: Simplify kx into kx
7.913 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.913 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.913 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.913 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.913 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.913 * [taylor]: Taking taylor expansion of kx in ky
7.913 * [backup-simplify]: Simplify kx into kx
7.913 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.913 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.913 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.913 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.913 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.913 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.913 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.914 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.914 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.914 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.914 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.914 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.914 * [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)))
7.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.914 * [backup-simplify]: Simplify (+ 0) into 0
7.915 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.916 * [backup-simplify]: Simplify (+ 0 0) into 0
7.916 * [backup-simplify]: Simplify (+ 0) into 0
7.916 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.917 * [backup-simplify]: Simplify (+ 0 0) into 0
7.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.918 * [backup-simplify]: Simplify (+ 0 0) into 0
7.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.918 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.918 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.918 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.918 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.918 * [taylor]: Taking taylor expansion of kx in kx
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 1 into 1
7.918 * [backup-simplify]: Simplify (/ 1 1) into 1
7.918 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.918 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.918 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.918 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.918 * [taylor]: Taking taylor expansion of ky in kx
7.918 * [backup-simplify]: Simplify ky into ky
7.919 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.919 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.919 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.919 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.919 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.919 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.919 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.919 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.919 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.919 * [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)))
7.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.920 * [backup-simplify]: Simplify (+ 0) into 0
7.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.922 * [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)))
7.922 * [taylor]: Taking taylor expansion of 0 in kx
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.924 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.924 * [backup-simplify]: Simplify (+ 0 0) into 0
7.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.926 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.926 * [backup-simplify]: Simplify (+ 0 0) into 0
7.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.927 * [backup-simplify]: Simplify (+ 0 0) into 0
7.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.928 * [taylor]: Taking taylor expansion of 0 in kx
7.928 * [backup-simplify]: Simplify 0 into 0
7.928 * [backup-simplify]: Simplify 0 into 0
7.928 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.931 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.932 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.933 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.933 * [backup-simplify]: Simplify (+ 0 0) into 0
7.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.934 * [backup-simplify]: Simplify (+ 0 0) into 0
7.935 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.935 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.941 * [backup-simplify]: Simplify (+ 0 0) into 0
7.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.946 * [backup-simplify]: Simplify (+ 0 0) into 0
7.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.948 * [backup-simplify]: Simplify (+ 0 0) into 0
7.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.949 * [taylor]: Taking taylor expansion of 0 in kx
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [backup-simplify]: Simplify 0 into 0
7.949 * [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)))
7.950 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
7.950 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
7.950 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.950 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.950 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.950 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.950 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.950 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.950 * [taylor]: Taking taylor expansion of -1 in kx
7.950 * [backup-simplify]: Simplify -1 into -1
7.950 * [taylor]: Taking taylor expansion of ky in kx
7.950 * [backup-simplify]: Simplify ky into ky
7.950 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.950 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.950 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.950 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.950 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.950 * [taylor]: Taking taylor expansion of -1 in kx
7.950 * [backup-simplify]: Simplify -1 into -1
7.950 * [taylor]: Taking taylor expansion of ky in kx
7.950 * [backup-simplify]: Simplify ky into ky
7.950 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.950 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.951 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.951 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.951 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.951 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.951 * [taylor]: Taking taylor expansion of -1 in kx
7.951 * [backup-simplify]: Simplify -1 into -1
7.951 * [taylor]: Taking taylor expansion of kx in kx
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify (/ -1 1) into -1
7.951 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.951 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.952 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.952 * [taylor]: Taking taylor expansion of -1 in kx
7.952 * [backup-simplify]: Simplify -1 into -1
7.952 * [taylor]: Taking taylor expansion of kx in kx
7.952 * [backup-simplify]: Simplify 0 into 0
7.952 * [backup-simplify]: Simplify 1 into 1
7.952 * [backup-simplify]: Simplify (/ -1 1) into -1
7.952 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.952 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.952 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.952 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.953 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.953 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.953 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.953 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.953 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.953 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.954 * [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)))
7.954 * [backup-simplify]: Simplify (+ 0) into 0
7.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.955 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.956 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.956 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.957 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (+ 0) into 0
7.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.958 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.961 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.961 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.961 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.961 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.961 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.961 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.961 * [taylor]: Taking taylor expansion of -1 in ky
7.961 * [backup-simplify]: Simplify -1 into -1
7.961 * [taylor]: Taking taylor expansion of ky in ky
7.961 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify 1 into 1
7.962 * [backup-simplify]: Simplify (/ -1 1) into -1
7.962 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.962 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.962 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.962 * [taylor]: Taking taylor expansion of -1 in ky
7.962 * [backup-simplify]: Simplify -1 into -1
7.962 * [taylor]: Taking taylor expansion of ky in ky
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify 1 into 1
7.962 * [backup-simplify]: Simplify (/ -1 1) into -1
7.962 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.962 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.962 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.963 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.963 * [taylor]: Taking taylor expansion of -1 in ky
7.963 * [backup-simplify]: Simplify -1 into -1
7.963 * [taylor]: Taking taylor expansion of kx in ky
7.963 * [backup-simplify]: Simplify kx into kx
7.963 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.963 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.963 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.963 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.963 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.963 * [taylor]: Taking taylor expansion of -1 in ky
7.963 * [backup-simplify]: Simplify -1 into -1
7.963 * [taylor]: Taking taylor expansion of kx in ky
7.963 * [backup-simplify]: Simplify kx into kx
7.963 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.963 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.963 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.963 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.963 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.964 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.964 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.964 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.964 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.964 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.964 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.964 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.965 * [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)))
7.965 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.965 * [backup-simplify]: Simplify (+ 0) into 0
7.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.966 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.968 * [backup-simplify]: Simplify (+ 0 0) into 0
7.968 * [backup-simplify]: Simplify (+ 0) into 0
7.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.969 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.970 * [backup-simplify]: Simplify (+ 0 0) into 0
7.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.971 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.971 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.971 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.971 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.971 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.972 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.972 * [taylor]: Taking taylor expansion of -1 in ky
7.972 * [backup-simplify]: Simplify -1 into -1
7.972 * [taylor]: Taking taylor expansion of ky in ky
7.972 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify 1 into 1
7.972 * [backup-simplify]: Simplify (/ -1 1) into -1
7.972 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.972 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.972 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.972 * [taylor]: Taking taylor expansion of -1 in ky
7.972 * [backup-simplify]: Simplify -1 into -1
7.972 * [taylor]: Taking taylor expansion of ky in ky
7.972 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify 1 into 1
7.973 * [backup-simplify]: Simplify (/ -1 1) into -1
7.973 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.973 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.973 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.973 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.973 * [taylor]: Taking taylor expansion of -1 in ky
7.973 * [backup-simplify]: Simplify -1 into -1
7.973 * [taylor]: Taking taylor expansion of kx in ky
7.973 * [backup-simplify]: Simplify kx into kx
7.973 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.973 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.973 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.973 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.973 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.973 * [taylor]: Taking taylor expansion of -1 in ky
7.973 * [backup-simplify]: Simplify -1 into -1
7.973 * [taylor]: Taking taylor expansion of kx in ky
7.973 * [backup-simplify]: Simplify kx into kx
7.974 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.974 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.974 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.974 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.974 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.974 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.974 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.974 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.974 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.974 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.975 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.975 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.975 * [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)))
7.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.976 * [backup-simplify]: Simplify (+ 0) into 0
7.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.977 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.978 * [backup-simplify]: Simplify (+ 0 0) into 0
7.979 * [backup-simplify]: Simplify (+ 0) into 0
7.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.979 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.980 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.981 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.981 * [backup-simplify]: Simplify (+ 0 0) into 0
7.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.982 * [backup-simplify]: Simplify (+ 0 0) into 0
7.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.982 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.982 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.982 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.982 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.982 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.982 * [taylor]: Taking taylor expansion of -1 in kx
7.982 * [backup-simplify]: Simplify -1 into -1
7.982 * [taylor]: Taking taylor expansion of kx in kx
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.983 * [backup-simplify]: Simplify (/ -1 1) into -1
7.983 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.983 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.983 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.983 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.983 * [taylor]: Taking taylor expansion of -1 in kx
7.983 * [backup-simplify]: Simplify -1 into -1
7.983 * [taylor]: Taking taylor expansion of ky in kx
7.983 * [backup-simplify]: Simplify ky into ky
7.983 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.983 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.983 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.983 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.983 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.983 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.984 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.984 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.984 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.984 * [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)))
7.984 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.985 * [backup-simplify]: Simplify (+ 0) into 0
7.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.986 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.987 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.987 * [backup-simplify]: Simplify (+ 0 0) into 0
7.987 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.988 * [backup-simplify]: Simplify (+ 0 0) into 0
7.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.988 * [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)))
7.989 * [taylor]: Taking taylor expansion of 0 in kx
7.989 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.991 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.991 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.993 * [backup-simplify]: Simplify (+ 0 0) into 0
7.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.995 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.995 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.996 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.997 * [backup-simplify]: Simplify (+ 0 0) into 0
7.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.999 * [taylor]: Taking taylor expansion of 0 in kx
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 0 into 0
8.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
8.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
8.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
8.002 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
8.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
8.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
8.004 * [backup-simplify]: Simplify (+ 0 0) into 0
8.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
8.005 * [backup-simplify]: Simplify (+ 0 0) into 0
8.006 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.006 * [backup-simplify]: Simplify 0 into 0
8.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
8.007 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.009 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.012 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
8.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
8.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
8.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
8.016 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
8.018 * [backup-simplify]: Simplify (+ 0 0) into 0
8.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
8.019 * [taylor]: Taking taylor expansion of 0 in kx
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [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)))
8.019 * * * [progress]: simplifying candidates
8.019 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (log1p (expm1 (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>
8.019 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (expm1 (log1p (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>
8.019 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1) (sin th)))>
8.020 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (exp (- (log (sin ky)) (log (hypot (sin ky) (sin kx))))) (sin th)))>
8.020 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (exp (log (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>
8.020 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (log (exp (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>
8.020 * * * * [progress]: [ 7 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (cbrt (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))) (sin th)))>
8.020 * * * * [progress]: [ 8 / 85 ] simplifiying candidate #<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)))>
8.020 * * * * [progress]: [ 9 / 85 ] simplifiying candidate #<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)))>
8.020 * * * * [progress]: [ 10 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>
8.020 * * * * [progress]: [ 11 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (- (sin ky)) (- (hypot (sin ky) (sin kx)))) (sin th)))>
8.020 * * * * [progress]: [ 12 / 85 ] simplifiying candidate #<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)))>
8.020 * * * * [progress]: [ 13 / 85 ] simplifiying candidate #<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)))>
8.020 * * * * [progress]: [ 14 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx)))) (sin th)))>
8.020 * * * * [progress]: [ 15 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx))))) (sin th)))>
8.020 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))>
8.020 * * * * [progress]: [ 17 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))) (sin th)))>
8.020 * * * * [progress]: [ 18 / 85 ] simplifiying candidate #<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)))>
8.021 * * * * [progress]: [ 19 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))>
8.021 * * * * [progress]: [ 20 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ 1 1) (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th)))>
8.021 * * * * [progress]: [ 21 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* 1 (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th)))>
8.021 * * * * [progress]: [ 22 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ 1 (hypot (sin ky) (sin kx)))) (sin th)))>
8.021 * * * * [progress]: [ 23 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (sin th)))>
8.021 * * * * [progress]: [ 24 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (/ (sin ky) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (hypot (sin ky) (sin kx)))) (sin th)))>
8.021 * * * * [progress]: [ 25 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (hypot (sin ky) (sin kx)))) (sin th)))>
8.021 * * * * [progress]: [ 26 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (/ (sin ky) 1) (hypot (sin ky) (sin kx))) (sin th)))>
8.021 * * * * [progress]: [ 27 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))) (sin th)))>
8.021 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin ky)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))) (sin th)))>
8.021 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (sin th)))>
8.021 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx))))) (sin th)))>
8.021 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
8.021 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
8.021 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) 1))>
8.021 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) 1))>
8.021 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))) (log (sin th)))))>
8.022 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (/ (sin ky) (hypot (sin ky) (sin kx)))) (log (sin th)))))>
8.022 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
8.022 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
8.022 * * * * [progress]: [ 39 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (/ (* (* (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)))))>
8.022 * * * * [progress]: [ 40 / 85 ] simplifiying candidate #<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) (sin th)) (sin th)))))>
8.022 * * * * [progress]: [ 41 / 85 ] simplifiying candidate #<alt (λ (kx ky 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)))))>
8.022 * * * * [progress]: [ 42 / 85 ] simplifiying candidate #<alt (λ (kx ky 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)))))>
8.022 * * * * [progress]: [ 43 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (sqrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
8.022 * * * * [progress]: [ 44 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))>
8.022 * * * * [progress]: [ 45 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (sin th))) (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sqrt (sin th)))))>
8.022 * * * * [progress]: [ 46 / 85 ] simplifiying candidate #<alt (λ (kx ky 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)))))>
8.022 * * * * [progress]: [ 47 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (sin th))))>
8.022 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sqrt (sin th))) (sqrt (sin th))))>
8.022 * * * * [progress]: [ 49 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) 1) (sin th)))>
8.022 * * * * [progress]: [ 50 / 85 ] simplifiying candidate #<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))))>
8.022 * * * * [progress]: [ 51 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (* (sqrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (sin th))))>
8.023 * * * * [progress]: [ 52 / 85 ] simplifiying candidate #<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))))>
8.023 * * * * [progress]: [ 53 / 85 ] simplifiying candidate #<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))))>
8.023 * * * * [progress]: [ 54 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (* (/ (cbrt (sin ky)) (hypot (sin ky) (sin kx))) (sin th))))>
8.023 * * * * [progress]: [ 55 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (* (/ (sqrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (sin th))))>
8.023 * * * * [progress]: [ 56 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (* (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx)))) (sin th))))>
8.023 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin ky)) 1) (* (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))) (sin th))))>
8.023 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<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))))>
8.023 * * * * [progress]: [ 59 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (* (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))) (sin th))))>
8.023 * * * * [progress]: [ 60 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 1) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))>
8.023 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))>
8.023 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ 1 (hypot (sin ky) (sin kx))) (sin th))))>
8.023 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))))>
8.023 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
8.023 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
8.023 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (log1p (expm1 (hypot (sin ky) (sin kx))))) (sin th)))>
8.023 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (expm1 (log1p (hypot (sin ky) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (pow (hypot (sin ky) (sin kx)) 1)) (sin th)))>
8.024 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (exp (log (hypot (sin ky) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (log (exp (hypot (sin ky) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 72 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 73 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 74 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (* 1 (hypot (sin ky) (sin kx)))) (sin th)))>
8.024 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx))))) (sin th)))>
8.024 * * * * [progress]: [ 77 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3)))) (sin th)))>
8.024 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (sin th)))>
8.024 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) (sin th)))>
8.024 * * * * [progress]: [ 80 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
8.024 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
8.024 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
8.024 * * * * [progress]: [ 83 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))) (sin th)))>
8.024 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)))>
8.025 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th)))>
8.026 * [simplify]: Simplifying:
  (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))
  (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx))))
  (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))
  (real->posit16 (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))
  (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)))
  (real->posit16 (hypot (sin ky) (sin kx)))
  (- (+ (* 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))
  (* 1/6 (* 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)))
  (- (+ (* 1/12 (* 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)))
8.028 * * [simplify]: iteration 0: 135 enodes
8.090 * * [simplify]: iteration 1: 308 enodes
8.210 * * [simplify]: iteration 2: 914 enodes
8.755 * * [simplify]: iteration 3: 2864 enodes
10.037 * * [simplify]: iteration complete: 5002 enodes
10.037 * * [simplify]: Extracting #0: cost 76 inf + 0
10.040 * * [simplify]: Extracting #1: cost 837 inf + 1
10.055 * * [simplify]: Extracting #2: cost 1413 inf + 3548
10.084 * * [simplify]: Extracting #3: cost 1189 inf + 75900
10.157 * * [simplify]: Extracting #4: cost 482 inf + 279593
10.252 * * [simplify]: Extracting #5: cost 56 inf + 435422
10.356 * * [simplify]: Extracting #6: cost 0 inf + 457878
10.444 * * [simplify]: Extracting #7: cost 0 inf + 457876
10.538 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (sin ky))
  (- (hypot (sin kx) (sin ky)))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (sqrt (sin ky))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (sin ky)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (log1p (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (log (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (log (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (exp (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (cbrt (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (cbrt (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (sqrt (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (cbrt (sin th)) (* (cbrt (sin th)) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (/ (* (sqrt (sin th)) (sin ky)) (hypot (sin kx) (sin ky)))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sin th))
  (* (sin th) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (/ (* (cbrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (* (sin th) (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))))
  (* (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (sin th) (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky))))
  (* (sin th) (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))))
  (* (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sin th))
  (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (* (sin th) (sin ky))
  (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (hypot (sin kx) (sin ky)) (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (real->posit16 (hypot (sin kx) (sin ky)))
  (fma ky (* kx (fma 7/360 (* kx kx) 1/6)) (* (* (* -71/720 kx) ky) (* ky 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))))) (sin ky))
  (* (* ky kx) (* 1/6 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 kx (- (* (* ky ky) 1/12) (* 1/6 (* kx kx))) kx)
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
10.542 * * * [progress]: adding candidates to table
11.071 * * [progress]: iteration 3 / 4
11.071 * * * [progress]: picking best candidate
11.215 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))>
11.215 * * * [progress]: localizing error
11.255 * * * [progress]: generating rewritten candidates
11.255 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
11.291 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
11.316 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2)
11.320 * * * [progress]: generating series expansions
11.320 * * * * [progress]: [ 1 / 3 ] generating series at (2)
11.320 * [backup-simplify]: Simplify (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) into (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky)))
11.320 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in (ky th kx) around 0
11.320 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in kx
11.321 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
11.321 * [taylor]: Taking taylor expansion of (sin th) in kx
11.321 * [taylor]: Taking taylor expansion of th in kx
11.321 * [backup-simplify]: Simplify th into th
11.321 * [backup-simplify]: Simplify (sin th) into (sin th)
11.321 * [backup-simplify]: Simplify (cos th) into (cos th)
11.321 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.321 * [taylor]: Taking taylor expansion of ky in kx
11.321 * [backup-simplify]: Simplify ky into ky
11.321 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.321 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.321 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
11.321 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.321 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
11.321 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.321 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.321 * [taylor]: Taking taylor expansion of kx in kx
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 1 into 1
11.321 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.321 * [taylor]: Taking taylor expansion of kx in kx
11.321 * [backup-simplify]: Simplify 0 into 0
11.321 * [backup-simplify]: Simplify 1 into 1
11.321 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.321 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.321 * [taylor]: Taking taylor expansion of ky in kx
11.322 * [backup-simplify]: Simplify ky into ky
11.322 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.322 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.322 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.322 * [taylor]: Taking taylor expansion of ky in kx
11.322 * [backup-simplify]: Simplify ky into ky
11.322 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.322 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.323 * [backup-simplify]: Simplify (* 0 0) into 0
11.323 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.323 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.323 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.323 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.323 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.323 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.323 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.323 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
11.324 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.324 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.326 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.327 * [backup-simplify]: Simplify (+ 0) into 0
11.327 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.329 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.329 * [backup-simplify]: Simplify (+ 0 0) into 0
11.329 * [backup-simplify]: Simplify (+ 0) into 0
11.330 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.331 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.332 * [backup-simplify]: Simplify (+ 0 0) into 0
11.332 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.332 * [backup-simplify]: Simplify (+ 0 0) into 0
11.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.333 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
11.333 * [backup-simplify]: Simplify (* (cos th) 0) into 0
11.333 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
11.333 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.333 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.333 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.333 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
11.333 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
11.333 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in th
11.333 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
11.333 * [taylor]: Taking taylor expansion of (sin th) in th
11.333 * [taylor]: Taking taylor expansion of th in th
11.333 * [backup-simplify]: Simplify 0 into 0
11.333 * [backup-simplify]: Simplify 1 into 1
11.333 * [taylor]: Taking taylor expansion of (sin ky) in th
11.333 * [taylor]: Taking taylor expansion of ky in th
11.333 * [backup-simplify]: Simplify ky into ky
11.333 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.334 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.334 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
11.334 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.334 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
11.334 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
11.334 * [taylor]: Taking taylor expansion of (sin kx) in th
11.334 * [taylor]: Taking taylor expansion of kx in th
11.334 * [backup-simplify]: Simplify kx into kx
11.334 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.334 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.334 * [taylor]: Taking taylor expansion of (sin kx) in th
11.334 * [taylor]: Taking taylor expansion of kx in th
11.334 * [backup-simplify]: Simplify kx into kx
11.334 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.334 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.334 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
11.334 * [taylor]: Taking taylor expansion of (sin ky) in th
11.334 * [taylor]: Taking taylor expansion of ky in th
11.334 * [backup-simplify]: Simplify ky into ky
11.334 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.334 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.334 * [taylor]: Taking taylor expansion of (sin ky) in th
11.334 * [taylor]: Taking taylor expansion of ky in th
11.334 * [backup-simplify]: Simplify ky into ky
11.334 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.334 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.335 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.335 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.335 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.335 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.335 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.335 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.335 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.335 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.335 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.335 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.335 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.335 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.335 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.335 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.336 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
11.336 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.337 * [backup-simplify]: Simplify (+ 0) into 0
11.337 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.338 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.339 * [backup-simplify]: Simplify (+ 0 0) into 0
11.339 * [backup-simplify]: Simplify (+ 0) into 0
11.340 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.341 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.341 * [backup-simplify]: Simplify (+ 0 0) into 0
11.342 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.342 * [backup-simplify]: Simplify (+ 0) into 0
11.343 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.344 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.344 * [backup-simplify]: Simplify (+ 0 0) into 0
11.345 * [backup-simplify]: Simplify (+ 0) into 0
11.345 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.346 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.346 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.347 * [backup-simplify]: Simplify (+ 0 0) into 0
11.347 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.347 * [backup-simplify]: Simplify (+ 0 0) into 0
11.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
11.348 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.348 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.348 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.348 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
11.348 * [backup-simplify]: Simplify (+ 0) into 0
11.349 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.350 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.351 * [backup-simplify]: Simplify (+ 0 0) into 0
11.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.352 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
11.352 * [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))
11.352 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky
11.352 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
11.352 * [taylor]: Taking taylor expansion of (sin th) in ky
11.352 * [taylor]: Taking taylor expansion of th in ky
11.352 * [backup-simplify]: Simplify th into th
11.352 * [backup-simplify]: Simplify (sin th) into (sin th)
11.352 * [backup-simplify]: Simplify (cos th) into (cos th)
11.352 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.352 * [taylor]: Taking taylor expansion of ky in ky
11.352 * [backup-simplify]: Simplify 0 into 0
11.352 * [backup-simplify]: Simplify 1 into 1
11.352 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
11.353 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.353 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
11.353 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.353 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.353 * [taylor]: Taking taylor expansion of kx in ky
11.353 * [backup-simplify]: Simplify kx into kx
11.353 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.353 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.353 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.353 * [taylor]: Taking taylor expansion of kx in ky
11.353 * [backup-simplify]: Simplify kx into kx
11.353 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.353 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.353 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.353 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.353 * [taylor]: Taking taylor expansion of ky in ky
11.353 * [backup-simplify]: Simplify 0 into 0
11.353 * [backup-simplify]: Simplify 1 into 1
11.353 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.353 * [taylor]: Taking taylor expansion of ky in ky
11.353 * [backup-simplify]: Simplify 0 into 0
11.353 * [backup-simplify]: Simplify 1 into 1
11.353 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.353 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.353 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.353 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.354 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.354 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.354 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.354 * [backup-simplify]: Simplify (* 0 0) into 0
11.354 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
11.354 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.355 * [backup-simplify]: Simplify (+ 0) into 0
11.355 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.357 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.357 * [backup-simplify]: Simplify (+ 0 0) into 0
11.357 * [backup-simplify]: Simplify (+ 0) into 0
11.358 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.359 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.359 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.359 * [backup-simplify]: Simplify (+ 0 0) into 0
11.359 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.361 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.362 * [backup-simplify]: Simplify (+ 0 0) into 0
11.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.362 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
11.362 * [backup-simplify]: Simplify (* (cos th) 0) into 0
11.362 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
11.362 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.363 * [backup-simplify]: Simplify (+ 0) into 0
11.364 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
11.365 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.365 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
11.365 * [backup-simplify]: Simplify (+ 0 0) into 0
11.366 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
11.366 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
11.366 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin kx) (sin ky))) in ky
11.366 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
11.366 * [taylor]: Taking taylor expansion of (sin th) in ky
11.366 * [taylor]: Taking taylor expansion of th in ky
11.366 * [backup-simplify]: Simplify th into th
11.366 * [backup-simplify]: Simplify (sin th) into (sin th)
11.366 * [backup-simplify]: Simplify (cos th) into (cos th)
11.366 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.366 * [taylor]: Taking taylor expansion of ky in ky
11.366 * [backup-simplify]: Simplify 0 into 0
11.366 * [backup-simplify]: Simplify 1 into 1
11.366 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
11.367 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.367 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
11.367 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.367 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.367 * [taylor]: Taking taylor expansion of kx in ky
11.367 * [backup-simplify]: Simplify kx into kx
11.367 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.367 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.367 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.367 * [taylor]: Taking taylor expansion of kx in ky
11.367 * [backup-simplify]: Simplify kx into kx
11.367 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.367 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.367 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.367 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.367 * [taylor]: Taking taylor expansion of ky in ky
11.367 * [backup-simplify]: Simplify 0 into 0
11.367 * [backup-simplify]: Simplify 1 into 1
11.367 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.367 * [taylor]: Taking taylor expansion of ky in ky
11.367 * [backup-simplify]: Simplify 0 into 0
11.367 * [backup-simplify]: Simplify 1 into 1
11.367 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.367 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.367 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.367 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.367 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.367 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.368 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.368 * [backup-simplify]: Simplify (* 0 0) into 0
11.368 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
11.368 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.369 * [backup-simplify]: Simplify (+ 0) into 0
11.369 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.370 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.371 * [backup-simplify]: Simplify (+ 0 0) into 0
11.371 * [backup-simplify]: Simplify (+ 0) into 0
11.372 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.372 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.373 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.373 * [backup-simplify]: Simplify (+ 0 0) into 0
11.373 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.375 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.376 * [backup-simplify]: Simplify (+ 0 0) into 0
11.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.376 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
11.376 * [backup-simplify]: Simplify (* (cos th) 0) into 0
11.376 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
11.376 * [backup-simplify]: Simplify (* (sin th) 0) into 0
11.377 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.377 * [backup-simplify]: Simplify (+ 0) into 0
11.378 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
11.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.379 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
11.380 * [backup-simplify]: Simplify (+ 0 0) into 0
11.380 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
11.380 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
11.380 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in th
11.380 * [taylor]: Taking taylor expansion of (sin th) in th
11.380 * [taylor]: Taking taylor expansion of th in th
11.380 * [backup-simplify]: Simplify 0 into 0
11.380 * [backup-simplify]: Simplify 1 into 1
11.380 * [taylor]: Taking taylor expansion of (sin kx) in th
11.380 * [taylor]: Taking taylor expansion of kx in th
11.380 * [backup-simplify]: Simplify kx into kx
11.381 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.381 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.381 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.381 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.381 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.381 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.382 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
11.382 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.382 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.382 * [taylor]: Taking taylor expansion of kx in kx
11.382 * [backup-simplify]: Simplify 0 into 0
11.382 * [backup-simplify]: Simplify 1 into 1
11.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.383 * [backup-simplify]: Simplify (/ 1 1) into 1
11.384 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.384 * [backup-simplify]: Simplify 0 into 0
11.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.387 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
11.388 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.389 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
11.389 * [backup-simplify]: Simplify (+ 0 0) into 0
11.390 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
11.390 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
11.390 * [taylor]: Taking taylor expansion of 0 in th
11.390 * [backup-simplify]: Simplify 0 into 0
11.390 * [taylor]: Taking taylor expansion of 0 in kx
11.390 * [backup-simplify]: Simplify 0 into 0
11.390 * [backup-simplify]: Simplify 0 into 0
11.391 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.392 * [backup-simplify]: Simplify (+ 0) into 0
11.392 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.393 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.394 * [backup-simplify]: Simplify (+ 0 0) into 0
11.394 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
11.394 * [taylor]: Taking taylor expansion of 0 in kx
11.394 * [backup-simplify]: Simplify 0 into 0
11.394 * [backup-simplify]: Simplify 0 into 0
11.396 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
11.397 * [backup-simplify]: Simplify 1/6 into 1/6
11.399 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.399 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.400 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.401 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.401 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.401 * [backup-simplify]: Simplify (+ 0 0) into 0
11.402 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
11.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.403 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.403 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.404 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.404 * [backup-simplify]: Simplify (+ 0 0) into 0
11.405 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.405 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.406 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.406 * [backup-simplify]: Simplify (+ 0 0) into 0
11.407 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.407 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.408 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.408 * [backup-simplify]: Simplify (+ 0 1) into 1
11.409 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
11.409 * [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)))))
11.409 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx))))) in th
11.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))) in th
11.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sin th) (pow (sin kx) 3))) in th
11.409 * [taylor]: Taking taylor expansion of 1/2 in th
11.409 * [backup-simplify]: Simplify 1/2 into 1/2
11.409 * [taylor]: Taking taylor expansion of (/ (sin th) (pow (sin kx) 3)) in th
11.409 * [taylor]: Taking taylor expansion of (sin th) in th
11.409 * [taylor]: Taking taylor expansion of th in th
11.409 * [backup-simplify]: Simplify 0 into 0
11.409 * [backup-simplify]: Simplify 1 into 1
11.409 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in th
11.409 * [taylor]: Taking taylor expansion of (sin kx) in th
11.409 * [taylor]: Taking taylor expansion of kx in th
11.409 * [backup-simplify]: Simplify kx into kx
11.409 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.409 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.409 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.409 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.409 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.410 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.410 * [backup-simplify]: Simplify (* (sin kx) (pow (sin kx) 2)) into (pow (sin kx) 3)
11.410 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 3)) into (/ 1 (pow (sin kx) 3))
11.410 * [taylor]: Taking taylor expansion of (* 1/6 (/ (sin th) (sin kx))) in th
11.410 * [taylor]: Taking taylor expansion of 1/6 in th
11.410 * [backup-simplify]: Simplify 1/6 into 1/6
11.410 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in th
11.410 * [taylor]: Taking taylor expansion of (sin th) in th
11.410 * [taylor]: Taking taylor expansion of th in th
11.410 * [backup-simplify]: Simplify 0 into 0
11.410 * [backup-simplify]: Simplify 1 into 1
11.410 * [taylor]: Taking taylor expansion of (sin kx) in th
11.410 * [taylor]: Taking taylor expansion of kx in th
11.410 * [backup-simplify]: Simplify kx into kx
11.410 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.411 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.411 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.411 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.411 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.411 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
11.411 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (sin kx) 3))) into (/ 1/2 (pow (sin kx) 3))
11.411 * [backup-simplify]: Simplify (* 1/6 (/ 1 (sin kx))) into (/ 1/6 (sin kx))
11.412 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sin kx) 3)) (/ 1/6 (sin kx))) into (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))
11.412 * [backup-simplify]: Simplify (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
11.412 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
11.412 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
11.412 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
11.412 * [taylor]: Taking taylor expansion of 1/6 in kx
11.412 * [backup-simplify]: Simplify 1/6 into 1/6
11.412 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.412 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.412 * [taylor]: Taking taylor expansion of kx in kx
11.412 * [backup-simplify]: Simplify 0 into 0
11.412 * [backup-simplify]: Simplify 1 into 1
11.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.413 * [backup-simplify]: Simplify (/ 1 1) into 1
11.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
11.413 * [taylor]: Taking taylor expansion of 1/2 in kx
11.413 * [backup-simplify]: Simplify 1/2 into 1/2
11.413 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
11.413 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
11.413 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.413 * [taylor]: Taking taylor expansion of kx in kx
11.413 * [backup-simplify]: Simplify 0 into 0
11.413 * [backup-simplify]: Simplify 1 into 1
11.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.414 * [backup-simplify]: Simplify (* 1 1) into 1
11.414 * [backup-simplify]: Simplify (* 1 1) into 1
11.414 * [backup-simplify]: Simplify (/ 1 1) into 1
11.415 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.416 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
11.417 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.418 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.419 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
11.420 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
11.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
11.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.423 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
11.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
11.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
11.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
11.425 * [backup-simplify]: Simplify (+ 0 0) into 0
11.426 * [backup-simplify]: Simplify (- 0) into 0
11.426 * [backup-simplify]: Simplify 0 into 0
11.426 * [taylor]: Taking taylor expansion of 0 in kx
11.426 * [backup-simplify]: Simplify 0 into 0
11.426 * [backup-simplify]: Simplify 0 into 0
11.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.428 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.428 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.429 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.429 * [backup-simplify]: Simplify (+ 0 0) into 0
11.429 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (* 1/6 (/ 1 (sin kx))))
11.429 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
11.429 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
11.429 * [taylor]: Taking taylor expansion of 1/6 in kx
11.429 * [backup-simplify]: Simplify 1/6 into 1/6
11.429 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.429 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.429 * [taylor]: Taking taylor expansion of kx in kx
11.429 * [backup-simplify]: Simplify 0 into 0
11.429 * [backup-simplify]: Simplify 1 into 1
11.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.430 * [backup-simplify]: Simplify (/ 1 1) into 1
11.430 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.431 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
11.431 * [backup-simplify]: Simplify (- 0) into 0
11.431 * [backup-simplify]: Simplify 0 into 0
11.431 * [backup-simplify]: Simplify 0 into 0
11.431 * [backup-simplify]: Simplify 0 into 0
11.432 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
11.433 * [backup-simplify]: Simplify 0 into 0
11.433 * [backup-simplify]: Simplify (* 1/6 (* kx (* th ky))) into (* 1/6 (* kx (* ky th)))
11.433 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
11.433 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (ky th kx) around 0
11.434 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
11.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
11.434 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
11.434 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
11.434 * [taylor]: Taking taylor expansion of th in kx
11.434 * [backup-simplify]: Simplify th into th
11.434 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.434 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.434 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.434 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.434 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.434 * [taylor]: Taking taylor expansion of ky in kx
11.434 * [backup-simplify]: Simplify ky into ky
11.434 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.434 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.434 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.434 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
11.434 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.434 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
11.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.434 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.434 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.434 * [taylor]: Taking taylor expansion of kx in kx
11.434 * [backup-simplify]: Simplify 0 into 0
11.434 * [backup-simplify]: Simplify 1 into 1
11.434 * [backup-simplify]: Simplify (/ 1 1) into 1
11.434 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.434 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.434 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.434 * [taylor]: Taking taylor expansion of kx in kx
11.435 * [backup-simplify]: Simplify 0 into 0
11.435 * [backup-simplify]: Simplify 1 into 1
11.435 * [backup-simplify]: Simplify (/ 1 1) into 1
11.435 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.435 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.435 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.435 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.435 * [taylor]: Taking taylor expansion of ky in kx
11.435 * [backup-simplify]: Simplify ky into ky
11.435 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.435 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.435 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.435 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.435 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.435 * [taylor]: Taking taylor expansion of ky in kx
11.435 * [backup-simplify]: Simplify ky into ky
11.435 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.435 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.435 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.435 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.435 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.435 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.435 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.435 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.436 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.436 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.436 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.436 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.436 * [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)))
11.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.436 * [backup-simplify]: Simplify (+ 0) into 0
11.437 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.437 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.438 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.438 * [backup-simplify]: Simplify (+ 0 0) into 0
11.438 * [backup-simplify]: Simplify (+ 0) into 0
11.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.444 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.445 * [backup-simplify]: Simplify (+ 0 0) into 0
11.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.445 * [backup-simplify]: Simplify (+ 0 0) into 0
11.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.445 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.445 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.445 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.445 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.446 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.446 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.446 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.446 * [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)))))
11.446 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
11.446 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
11.446 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
11.446 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.446 * [taylor]: Taking taylor expansion of th in th
11.446 * [backup-simplify]: Simplify 0 into 0
11.446 * [backup-simplify]: Simplify 1 into 1
11.446 * [backup-simplify]: Simplify (/ 1 1) into 1
11.446 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.446 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.446 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.446 * [taylor]: Taking taylor expansion of ky in th
11.446 * [backup-simplify]: Simplify ky into ky
11.446 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.446 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.447 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.447 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
11.447 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.447 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
11.447 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
11.447 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.447 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.447 * [taylor]: Taking taylor expansion of kx in th
11.447 * [backup-simplify]: Simplify kx into kx
11.447 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.447 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.447 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.447 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.447 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.447 * [taylor]: Taking taylor expansion of kx in th
11.447 * [backup-simplify]: Simplify kx into kx
11.447 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.447 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.447 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.447 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
11.447 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.447 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.447 * [taylor]: Taking taylor expansion of ky in th
11.447 * [backup-simplify]: Simplify ky into ky
11.447 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.447 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.447 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.447 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.447 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.447 * [taylor]: Taking taylor expansion of ky in th
11.447 * [backup-simplify]: Simplify ky into ky
11.447 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.447 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.447 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.447 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.448 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.448 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.448 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.448 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.448 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.448 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.448 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.448 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.448 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.448 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.448 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.448 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.448 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.448 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.448 * [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)))
11.449 * [backup-simplify]: Simplify (+ 0) into 0
11.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.450 * [backup-simplify]: Simplify (+ 0 0) into 0
11.451 * [backup-simplify]: Simplify (+ 0) into 0
11.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.452 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.452 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.452 * [backup-simplify]: Simplify (+ 0 0) into 0
11.452 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.453 * [backup-simplify]: Simplify (+ 0) into 0
11.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.453 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.454 * [backup-simplify]: Simplify (+ 0 0) into 0
11.454 * [backup-simplify]: Simplify (+ 0) into 0
11.454 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.456 * [backup-simplify]: Simplify (+ 0 0) into 0
11.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.456 * [backup-simplify]: Simplify (+ 0 0) into 0
11.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.456 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.456 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.456 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.456 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.457 * [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)))))
11.457 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
11.457 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
11.457 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
11.457 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
11.457 * [taylor]: Taking taylor expansion of th in ky
11.457 * [backup-simplify]: Simplify th into th
11.457 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.457 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.457 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.457 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.457 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.457 * [taylor]: Taking taylor expansion of ky in ky
11.457 * [backup-simplify]: Simplify 0 into 0
11.457 * [backup-simplify]: Simplify 1 into 1
11.457 * [backup-simplify]: Simplify (/ 1 1) into 1
11.457 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.457 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
11.457 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.457 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
11.458 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.458 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.458 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.458 * [taylor]: Taking taylor expansion of kx in ky
11.458 * [backup-simplify]: Simplify kx into kx
11.458 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.458 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.458 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.458 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.458 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.458 * [taylor]: Taking taylor expansion of kx in ky
11.458 * [backup-simplify]: Simplify kx into kx
11.458 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.458 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.458 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.458 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.458 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.458 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.458 * [taylor]: Taking taylor expansion of ky in ky
11.458 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify 1 into 1
11.458 * [backup-simplify]: Simplify (/ 1 1) into 1
11.458 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.458 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.458 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.458 * [taylor]: Taking taylor expansion of ky in ky
11.458 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify 1 into 1
11.459 * [backup-simplify]: Simplify (/ 1 1) into 1
11.459 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.459 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.459 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.459 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.459 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.459 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.460 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.460 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.460 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.460 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.460 * [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)))
11.461 * [backup-simplify]: Simplify (+ 0) into 0
11.461 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.463 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.463 * [backup-simplify]: Simplify (+ 0 0) into 0
11.463 * [backup-simplify]: Simplify (+ 0) into 0
11.464 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.465 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.466 * [backup-simplify]: Simplify (+ 0 0) into 0
11.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.466 * [backup-simplify]: Simplify (+ 0 0) into 0
11.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.467 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.467 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.467 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.467 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.468 * [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)))))
11.468 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
11.468 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
11.468 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
11.468 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
11.468 * [taylor]: Taking taylor expansion of th in ky
11.468 * [backup-simplify]: Simplify th into th
11.468 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.468 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.468 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.468 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.468 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.468 * [taylor]: Taking taylor expansion of ky in ky
11.468 * [backup-simplify]: Simplify 0 into 0
11.468 * [backup-simplify]: Simplify 1 into 1
11.469 * [backup-simplify]: Simplify (/ 1 1) into 1
11.469 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.469 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
11.469 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.469 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
11.469 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.469 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.469 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.469 * [taylor]: Taking taylor expansion of kx in ky
11.469 * [backup-simplify]: Simplify kx into kx
11.469 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.469 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.469 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.469 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.469 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.469 * [taylor]: Taking taylor expansion of kx in ky
11.469 * [backup-simplify]: Simplify kx into kx
11.469 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.469 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.469 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.469 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.469 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.469 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.470 * [taylor]: Taking taylor expansion of ky in ky
11.470 * [backup-simplify]: Simplify 0 into 0
11.470 * [backup-simplify]: Simplify 1 into 1
11.470 * [backup-simplify]: Simplify (/ 1 1) into 1
11.470 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.470 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.470 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.470 * [taylor]: Taking taylor expansion of ky in ky
11.470 * [backup-simplify]: Simplify 0 into 0
11.470 * [backup-simplify]: Simplify 1 into 1
11.471 * [backup-simplify]: Simplify (/ 1 1) into 1
11.471 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.471 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.471 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.471 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.471 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.471 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.471 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.471 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.471 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.472 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.472 * [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)))
11.472 * [backup-simplify]: Simplify (+ 0) into 0
11.473 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.474 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.475 * [backup-simplify]: Simplify (+ 0 0) into 0
11.475 * [backup-simplify]: Simplify (+ 0) into 0
11.476 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.477 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.477 * [backup-simplify]: Simplify (+ 0 0) into 0
11.478 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.478 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.478 * [backup-simplify]: Simplify (+ 0 0) into 0
11.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.479 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.479 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.479 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.479 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.479 * [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)))))
11.479 * [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
11.480 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
11.480 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
11.480 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.480 * [taylor]: Taking taylor expansion of th in th
11.480 * [backup-simplify]: Simplify 0 into 0
11.480 * [backup-simplify]: Simplify 1 into 1
11.480 * [backup-simplify]: Simplify (/ 1 1) into 1
11.480 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.480 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.480 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.480 * [taylor]: Taking taylor expansion of ky in th
11.480 * [backup-simplify]: Simplify ky into ky
11.480 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.480 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.480 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
11.481 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
11.481 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
11.481 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
11.481 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.481 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.481 * [taylor]: Taking taylor expansion of kx in th
11.481 * [backup-simplify]: Simplify kx into kx
11.481 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.481 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.481 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.481 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.481 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.481 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.481 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
11.481 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.481 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.481 * [taylor]: Taking taylor expansion of ky in th
11.481 * [backup-simplify]: Simplify ky into ky
11.481 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.481 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.481 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.482 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.482 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.482 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.482 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.482 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.482 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.482 * [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)))
11.483 * [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))))
11.483 * [backup-simplify]: Simplify (+ 0) into 0
11.484 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.485 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.486 * [backup-simplify]: Simplify (+ 0 0) into 0
11.486 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.486 * [backup-simplify]: Simplify (+ 0) into 0
11.486 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.487 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.488 * [backup-simplify]: Simplify (+ 0 0) into 0
11.488 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.489 * [backup-simplify]: Simplify (+ 0 0) into 0
11.489 * [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
11.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.490 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.490 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.490 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.490 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.490 * [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)))))
11.490 * [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
11.491 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
11.491 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
11.491 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
11.491 * [taylor]: Taking taylor expansion of th in kx
11.491 * [backup-simplify]: Simplify th into th
11.491 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.491 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.491 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.491 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.491 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.491 * [taylor]: Taking taylor expansion of ky in kx
11.491 * [backup-simplify]: Simplify ky into ky
11.491 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.491 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.491 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
11.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.491 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.491 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.491 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.491 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.491 * [taylor]: Taking taylor expansion of kx in kx
11.491 * [backup-simplify]: Simplify 0 into 0
11.491 * [backup-simplify]: Simplify 1 into 1
11.492 * [backup-simplify]: Simplify (/ 1 1) into 1
11.492 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.492 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.492 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.492 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.492 * [taylor]: Taking taylor expansion of ky in kx
11.492 * [backup-simplify]: Simplify ky into ky
11.492 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.492 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.492 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.492 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.492 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.493 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.493 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.493 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.493 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.494 * [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)))
11.494 * [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))))
11.494 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.495 * [backup-simplify]: Simplify (+ 0) into 0
11.495 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.497 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.497 * [backup-simplify]: Simplify (+ 0 0) into 0
11.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.498 * [backup-simplify]: Simplify (+ 0 0) into 0
11.498 * [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
11.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.499 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.499 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.499 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.499 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.499 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.499 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.499 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
11.500 * [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)))))
11.500 * [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)))))
11.501 * [backup-simplify]: Simplify (+ 0) into 0
11.501 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
11.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
11.503 * [backup-simplify]: Simplify (+ 0 0) into 0
11.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.505 * [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
11.505 * [taylor]: Taking taylor expansion of 0 in th
11.505 * [backup-simplify]: Simplify 0 into 0
11.505 * [taylor]: Taking taylor expansion of 0 in kx
11.505 * [backup-simplify]: Simplify 0 into 0
11.505 * [backup-simplify]: Simplify 0 into 0
11.505 * [backup-simplify]: Simplify (+ 0) into 0
11.506 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.507 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.507 * [backup-simplify]: Simplify (+ 0 0) into 0
11.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.508 * [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
11.508 * [taylor]: Taking taylor expansion of 0 in kx
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify (+ 0) into 0
11.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.511 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.511 * [backup-simplify]: Simplify (+ 0 0) into 0
11.511 * [backup-simplify]: Simplify (+ 0) into 0
11.512 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
11.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.513 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
11.513 * [backup-simplify]: Simplify (+ 0 0) into 0
11.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.513 * [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
11.513 * [backup-simplify]: Simplify 0 into 0
11.514 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.514 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.515 * [backup-simplify]: Simplify (+ 0 0) into 0
11.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.517 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.517 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.518 * [backup-simplify]: Simplify (+ 0 0) into 0
11.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.520 * [backup-simplify]: Simplify (+ 0 0) into 0
11.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.521 * [backup-simplify]: Simplify (+ 0 0) into 0
11.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.522 * [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
11.522 * [taylor]: Taking taylor expansion of 0 in th
11.522 * [backup-simplify]: Simplify 0 into 0
11.522 * [taylor]: Taking taylor expansion of 0 in kx
11.522 * [backup-simplify]: Simplify 0 into 0
11.522 * [backup-simplify]: Simplify 0 into 0
11.523 * [taylor]: Taking taylor expansion of 0 in kx
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.524 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.525 * [backup-simplify]: Simplify (+ 0 0) into 0
11.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.527 * [backup-simplify]: Simplify (+ 0 0) into 0
11.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.528 * [backup-simplify]: Simplify (+ 0 0) into 0
11.528 * [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
11.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.531 * [backup-simplify]: Simplify (+ 0 0) into 0
11.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.532 * [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
11.532 * [taylor]: Taking taylor expansion of 0 in kx
11.532 * [backup-simplify]: Simplify 0 into 0
11.532 * [backup-simplify]: Simplify 0 into 0
11.532 * [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)))
11.533 * [backup-simplify]: Simplify (* (sin (/ 1 (- ky))) (/ (sin (/ 1 (- th))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
11.533 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (ky th kx) around 0
11.533 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
11.533 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
11.533 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.533 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.533 * [taylor]: Taking taylor expansion of -1 in kx
11.533 * [backup-simplify]: Simplify -1 into -1
11.533 * [taylor]: Taking taylor expansion of th in kx
11.533 * [backup-simplify]: Simplify th into th
11.533 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.533 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.533 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.533 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.533 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.533 * [taylor]: Taking taylor expansion of -1 in kx
11.533 * [backup-simplify]: Simplify -1 into -1
11.533 * [taylor]: Taking taylor expansion of ky in kx
11.533 * [backup-simplify]: Simplify ky into ky
11.533 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.533 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.533 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.533 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
11.533 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.533 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
11.533 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.533 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.533 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.533 * [taylor]: Taking taylor expansion of -1 in kx
11.533 * [backup-simplify]: Simplify -1 into -1
11.533 * [taylor]: Taking taylor expansion of kx in kx
11.533 * [backup-simplify]: Simplify 0 into 0
11.533 * [backup-simplify]: Simplify 1 into 1
11.534 * [backup-simplify]: Simplify (/ -1 1) into -1
11.534 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.534 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.534 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.534 * [taylor]: Taking taylor expansion of -1 in kx
11.534 * [backup-simplify]: Simplify -1 into -1
11.534 * [taylor]: Taking taylor expansion of kx in kx
11.534 * [backup-simplify]: Simplify 0 into 0
11.534 * [backup-simplify]: Simplify 1 into 1
11.534 * [backup-simplify]: Simplify (/ -1 1) into -1
11.534 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.534 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.534 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.534 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.534 * [taylor]: Taking taylor expansion of -1 in kx
11.534 * [backup-simplify]: Simplify -1 into -1
11.534 * [taylor]: Taking taylor expansion of ky in kx
11.534 * [backup-simplify]: Simplify ky into ky
11.534 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.534 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.534 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.534 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.534 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.534 * [taylor]: Taking taylor expansion of -1 in kx
11.534 * [backup-simplify]: Simplify -1 into -1
11.534 * [taylor]: Taking taylor expansion of ky in kx
11.534 * [backup-simplify]: Simplify ky into ky
11.534 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.534 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.534 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.535 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.535 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.535 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.535 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.535 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.535 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.535 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.535 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.535 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.535 * [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)))
11.535 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.536 * [backup-simplify]: Simplify (+ 0) into 0
11.536 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.536 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.537 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.537 * [backup-simplify]: Simplify (+ 0 0) into 0
11.537 * [backup-simplify]: Simplify (+ 0) into 0
11.538 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.538 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.538 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.538 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.539 * [backup-simplify]: Simplify (+ 0 0) into 0
11.539 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.539 * [backup-simplify]: Simplify (+ 0 0) into 0
11.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.539 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.539 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.540 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.540 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.540 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.540 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.540 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.540 * [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)))))
11.540 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
11.540 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
11.540 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.540 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.540 * [taylor]: Taking taylor expansion of -1 in th
11.540 * [backup-simplify]: Simplify -1 into -1
11.540 * [taylor]: Taking taylor expansion of th in th
11.540 * [backup-simplify]: Simplify 0 into 0
11.540 * [backup-simplify]: Simplify 1 into 1
11.541 * [backup-simplify]: Simplify (/ -1 1) into -1
11.541 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.541 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.541 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.541 * [taylor]: Taking taylor expansion of -1 in th
11.541 * [backup-simplify]: Simplify -1 into -1
11.541 * [taylor]: Taking taylor expansion of ky in th
11.541 * [backup-simplify]: Simplify ky into ky
11.541 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.541 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.541 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.541 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
11.541 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.541 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
11.541 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.541 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.541 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.541 * [taylor]: Taking taylor expansion of -1 in th
11.541 * [backup-simplify]: Simplify -1 into -1
11.541 * [taylor]: Taking taylor expansion of kx in th
11.541 * [backup-simplify]: Simplify kx into kx
11.541 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.541 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.541 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.541 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.541 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.541 * [taylor]: Taking taylor expansion of -1 in th
11.541 * [backup-simplify]: Simplify -1 into -1
11.541 * [taylor]: Taking taylor expansion of kx in th
11.541 * [backup-simplify]: Simplify kx into kx
11.541 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.541 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.541 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.541 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.541 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.541 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.541 * [taylor]: Taking taylor expansion of -1 in th
11.541 * [backup-simplify]: Simplify -1 into -1
11.541 * [taylor]: Taking taylor expansion of ky in th
11.541 * [backup-simplify]: Simplify ky into ky
11.541 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.542 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.542 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.542 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.542 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.542 * [taylor]: Taking taylor expansion of -1 in th
11.542 * [backup-simplify]: Simplify -1 into -1
11.542 * [taylor]: Taking taylor expansion of ky in th
11.542 * [backup-simplify]: Simplify ky into ky
11.542 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.542 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.542 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.542 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.542 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.542 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.542 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.542 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.542 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.542 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.542 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.542 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.542 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.542 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.542 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.542 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.542 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.543 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.543 * [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)))
11.544 * [backup-simplify]: Simplify (+ 0) into 0
11.544 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.544 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.546 * [backup-simplify]: Simplify (+ 0 0) into 0
11.546 * [backup-simplify]: Simplify (+ 0) into 0
11.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.547 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.549 * [backup-simplify]: Simplify (+ 0 0) into 0
11.549 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.549 * [backup-simplify]: Simplify (+ 0) into 0
11.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.550 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.552 * [backup-simplify]: Simplify (+ 0 0) into 0
11.552 * [backup-simplify]: Simplify (+ 0) into 0
11.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.553 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.555 * [backup-simplify]: Simplify (+ 0 0) into 0
11.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.555 * [backup-simplify]: Simplify (+ 0 0) into 0
11.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.556 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.556 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.556 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.556 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.557 * [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)))))
11.557 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
11.557 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
11.557 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.557 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.557 * [taylor]: Taking taylor expansion of -1 in ky
11.557 * [backup-simplify]: Simplify -1 into -1
11.557 * [taylor]: Taking taylor expansion of th in ky
11.557 * [backup-simplify]: Simplify th into th
11.557 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.557 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.557 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.557 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.557 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.557 * [taylor]: Taking taylor expansion of -1 in ky
11.557 * [backup-simplify]: Simplify -1 into -1
11.557 * [taylor]: Taking taylor expansion of ky in ky
11.557 * [backup-simplify]: Simplify 0 into 0
11.557 * [backup-simplify]: Simplify 1 into 1
11.558 * [backup-simplify]: Simplify (/ -1 1) into -1
11.558 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.558 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
11.558 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.558 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
11.558 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.558 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.558 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.558 * [taylor]: Taking taylor expansion of -1 in ky
11.558 * [backup-simplify]: Simplify -1 into -1
11.558 * [taylor]: Taking taylor expansion of kx in ky
11.558 * [backup-simplify]: Simplify kx into kx
11.558 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.558 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.558 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.558 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.558 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.558 * [taylor]: Taking taylor expansion of -1 in ky
11.558 * [backup-simplify]: Simplify -1 into -1
11.558 * [taylor]: Taking taylor expansion of kx in ky
11.559 * [backup-simplify]: Simplify kx into kx
11.559 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.559 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.559 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.559 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.559 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.559 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.559 * [taylor]: Taking taylor expansion of -1 in ky
11.559 * [backup-simplify]: Simplify -1 into -1
11.559 * [taylor]: Taking taylor expansion of ky in ky
11.559 * [backup-simplify]: Simplify 0 into 0
11.559 * [backup-simplify]: Simplify 1 into 1
11.559 * [backup-simplify]: Simplify (/ -1 1) into -1
11.559 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.560 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.560 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.560 * [taylor]: Taking taylor expansion of -1 in ky
11.560 * [backup-simplify]: Simplify -1 into -1
11.560 * [taylor]: Taking taylor expansion of ky in ky
11.560 * [backup-simplify]: Simplify 0 into 0
11.560 * [backup-simplify]: Simplify 1 into 1
11.560 * [backup-simplify]: Simplify (/ -1 1) into -1
11.560 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.560 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.560 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.561 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.561 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.561 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.561 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.561 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.561 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.561 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.562 * [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)))
11.562 * [backup-simplify]: Simplify (+ 0) into 0
11.563 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.563 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.564 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.565 * [backup-simplify]: Simplify (+ 0 0) into 0
11.565 * [backup-simplify]: Simplify (+ 0) into 0
11.566 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.566 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.567 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.568 * [backup-simplify]: Simplify (+ 0 0) into 0
11.568 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.568 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.568 * [backup-simplify]: Simplify (+ 0 0) into 0
11.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.569 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.569 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.569 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.569 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.570 * [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)))))
11.570 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
11.570 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
11.570 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.570 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.570 * [taylor]: Taking taylor expansion of -1 in ky
11.570 * [backup-simplify]: Simplify -1 into -1
11.570 * [taylor]: Taking taylor expansion of th in ky
11.570 * [backup-simplify]: Simplify th into th
11.570 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.570 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.570 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.570 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.570 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.570 * [taylor]: Taking taylor expansion of -1 in ky
11.570 * [backup-simplify]: Simplify -1 into -1
11.570 * [taylor]: Taking taylor expansion of ky in ky
11.570 * [backup-simplify]: Simplify 0 into 0
11.570 * [backup-simplify]: Simplify 1 into 1
11.571 * [backup-simplify]: Simplify (/ -1 1) into -1
11.571 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.571 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
11.571 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.571 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
11.571 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.571 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.571 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.571 * [taylor]: Taking taylor expansion of -1 in ky
11.571 * [backup-simplify]: Simplify -1 into -1
11.571 * [taylor]: Taking taylor expansion of kx in ky
11.571 * [backup-simplify]: Simplify kx into kx
11.571 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.571 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.571 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.571 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.571 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.571 * [taylor]: Taking taylor expansion of -1 in ky
11.571 * [backup-simplify]: Simplify -1 into -1
11.571 * [taylor]: Taking taylor expansion of kx in ky
11.571 * [backup-simplify]: Simplify kx into kx
11.571 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.571 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.571 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.571 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.571 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.571 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.571 * [taylor]: Taking taylor expansion of -1 in ky
11.571 * [backup-simplify]: Simplify -1 into -1
11.571 * [taylor]: Taking taylor expansion of ky in ky
11.571 * [backup-simplify]: Simplify 0 into 0
11.571 * [backup-simplify]: Simplify 1 into 1
11.572 * [backup-simplify]: Simplify (/ -1 1) into -1
11.572 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.572 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.572 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.572 * [taylor]: Taking taylor expansion of -1 in ky
11.572 * [backup-simplify]: Simplify -1 into -1
11.572 * [taylor]: Taking taylor expansion of ky in ky
11.572 * [backup-simplify]: Simplify 0 into 0
11.572 * [backup-simplify]: Simplify 1 into 1
11.572 * [backup-simplify]: Simplify (/ -1 1) into -1
11.572 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.572 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.572 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.572 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.572 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.572 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.573 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.573 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.573 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.573 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.573 * [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)))
11.573 * [backup-simplify]: Simplify (+ 0) into 0
11.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.574 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.579 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.579 * [backup-simplify]: Simplify (+ 0 0) into 0
11.580 * [backup-simplify]: Simplify (+ 0) into 0
11.580 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.580 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.581 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.581 * [backup-simplify]: Simplify (+ 0 0) into 0
11.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.582 * [backup-simplify]: Simplify (+ 0 0) into 0
11.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.582 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.582 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.582 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.582 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.582 * [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)))))
11.582 * [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
11.582 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
11.582 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.583 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.583 * [taylor]: Taking taylor expansion of -1 in th
11.583 * [backup-simplify]: Simplify -1 into -1
11.583 * [taylor]: Taking taylor expansion of th in th
11.583 * [backup-simplify]: Simplify 0 into 0
11.583 * [backup-simplify]: Simplify 1 into 1
11.583 * [backup-simplify]: Simplify (/ -1 1) into -1
11.583 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.583 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.583 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.583 * [taylor]: Taking taylor expansion of -1 in th
11.583 * [backup-simplify]: Simplify -1 into -1
11.583 * [taylor]: Taking taylor expansion of ky in th
11.583 * [backup-simplify]: Simplify ky into ky
11.583 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.583 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.583 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
11.583 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
11.583 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
11.583 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
11.583 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.583 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.583 * [taylor]: Taking taylor expansion of -1 in th
11.583 * [backup-simplify]: Simplify -1 into -1
11.583 * [taylor]: Taking taylor expansion of kx in th
11.583 * [backup-simplify]: Simplify kx into kx
11.583 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.583 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.583 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.583 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.584 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.584 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.584 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
11.584 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.584 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.584 * [taylor]: Taking taylor expansion of -1 in th
11.584 * [backup-simplify]: Simplify -1 into -1
11.584 * [taylor]: Taking taylor expansion of ky in th
11.584 * [backup-simplify]: Simplify ky into ky
11.584 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.584 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.584 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.584 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.584 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.584 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.584 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.584 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.584 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.584 * [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)))
11.585 * [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))))
11.585 * [backup-simplify]: Simplify (+ 0) into 0
11.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.585 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.586 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.587 * [backup-simplify]: Simplify (+ 0 0) into 0
11.587 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.587 * [backup-simplify]: Simplify (+ 0) into 0
11.587 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.587 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.589 * [backup-simplify]: Simplify (+ 0 0) into 0
11.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.589 * [backup-simplify]: Simplify (+ 0 0) into 0
11.589 * [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
11.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.590 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.590 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.590 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.590 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.590 * [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)))))
11.590 * [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
11.590 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
11.590 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.590 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.590 * [taylor]: Taking taylor expansion of -1 in kx
11.590 * [backup-simplify]: Simplify -1 into -1
11.590 * [taylor]: Taking taylor expansion of th in kx
11.590 * [backup-simplify]: Simplify th into th
11.590 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.590 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.590 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.590 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.590 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.590 * [taylor]: Taking taylor expansion of -1 in kx
11.590 * [backup-simplify]: Simplify -1 into -1
11.590 * [taylor]: Taking taylor expansion of ky in kx
11.590 * [backup-simplify]: Simplify ky into ky
11.590 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.590 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.590 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
11.591 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.591 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.591 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.591 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.591 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.591 * [taylor]: Taking taylor expansion of -1 in kx
11.591 * [backup-simplify]: Simplify -1 into -1
11.591 * [taylor]: Taking taylor expansion of kx in kx
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [backup-simplify]: Simplify 1 into 1
11.591 * [backup-simplify]: Simplify (/ -1 1) into -1
11.591 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.591 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.591 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.591 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.591 * [taylor]: Taking taylor expansion of -1 in kx
11.591 * [backup-simplify]: Simplify -1 into -1
11.591 * [taylor]: Taking taylor expansion of ky in kx
11.591 * [backup-simplify]: Simplify ky into ky
11.591 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.591 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.591 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.591 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.591 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.591 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.591 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.592 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.592 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.592 * [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)))
11.592 * [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))))
11.592 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.592 * [backup-simplify]: Simplify (+ 0) into 0
11.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.593 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.594 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.594 * [backup-simplify]: Simplify (+ 0 0) into 0
11.594 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.594 * [backup-simplify]: Simplify (+ 0 0) into 0
11.595 * [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
11.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.595 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.595 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.595 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.595 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.595 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.595 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.595 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.595 * [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)))))
11.596 * [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)))))
11.596 * [backup-simplify]: Simplify (+ 0) into 0
11.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.596 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.597 * [backup-simplify]: Simplify (+ 0 0) into 0
11.597 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.598 * [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
11.598 * [taylor]: Taking taylor expansion of 0 in th
11.598 * [backup-simplify]: Simplify 0 into 0
11.598 * [taylor]: Taking taylor expansion of 0 in kx
11.598 * [backup-simplify]: Simplify 0 into 0
11.598 * [backup-simplify]: Simplify 0 into 0
11.598 * [backup-simplify]: Simplify (+ 0) into 0
11.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.599 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.599 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.600 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.600 * [backup-simplify]: Simplify (+ 0 0) into 0
11.600 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.600 * [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
11.600 * [taylor]: Taking taylor expansion of 0 in kx
11.600 * [backup-simplify]: Simplify 0 into 0
11.600 * [backup-simplify]: Simplify 0 into 0
11.601 * [backup-simplify]: Simplify (+ 0) into 0
11.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.601 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.602 * [backup-simplify]: Simplify (+ 0 0) into 0
11.602 * [backup-simplify]: Simplify (+ 0) into 0
11.603 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.603 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.603 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.604 * [backup-simplify]: Simplify (+ 0 0) into 0
11.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.604 * [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
11.604 * [backup-simplify]: Simplify 0 into 0
11.605 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.605 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.605 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.606 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.606 * [backup-simplify]: Simplify (+ 0 0) into 0
11.606 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.608 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.608 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.608 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.609 * [backup-simplify]: Simplify (+ 0 0) into 0
11.609 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.610 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.611 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.611 * [backup-simplify]: Simplify (+ 0 0) into 0
11.611 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.612 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.612 * [backup-simplify]: Simplify (+ 0 0) into 0
11.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.613 * [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
11.613 * [taylor]: Taking taylor expansion of 0 in th
11.613 * [backup-simplify]: Simplify 0 into 0
11.613 * [taylor]: Taking taylor expansion of 0 in kx
11.613 * [backup-simplify]: Simplify 0 into 0
11.613 * [backup-simplify]: Simplify 0 into 0
11.613 * [taylor]: Taking taylor expansion of 0 in kx
11.613 * [backup-simplify]: Simplify 0 into 0
11.613 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.614 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.615 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.615 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.616 * [backup-simplify]: Simplify (+ 0 0) into 0
11.616 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.617 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.617 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.618 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.618 * [backup-simplify]: Simplify (+ 0 0) into 0
11.618 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.619 * [backup-simplify]: Simplify (+ 0 0) into 0
11.619 * [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
11.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.621 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.621 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.621 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.622 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.622 * [backup-simplify]: Simplify (+ 0 0) into 0
11.623 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.623 * [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
11.623 * [taylor]: Taking taylor expansion of 0 in kx
11.623 * [backup-simplify]: Simplify 0 into 0
11.623 * [backup-simplify]: Simplify 0 into 0
11.624 * [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)))
11.624 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
11.624 * [backup-simplify]: Simplify (/ (sin th) (hypot (sin kx) (sin ky))) into (/ (sin th) (hypot (sin kx) (sin ky)))
11.624 * [approximate]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in (th kx ky) around 0
11.624 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in ky
11.624 * [taylor]: Taking taylor expansion of (sin th) in ky
11.624 * [taylor]: Taking taylor expansion of th in ky
11.624 * [backup-simplify]: Simplify th into th
11.624 * [backup-simplify]: Simplify (sin th) into (sin th)
11.624 * [backup-simplify]: Simplify (cos th) into (cos th)
11.624 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
11.624 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.624 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
11.624 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.624 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.624 * [taylor]: Taking taylor expansion of kx in ky
11.624 * [backup-simplify]: Simplify kx into kx
11.624 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.624 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.624 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.624 * [taylor]: Taking taylor expansion of kx in ky
11.624 * [backup-simplify]: Simplify kx into kx
11.624 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.624 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.624 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.624 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.624 * [taylor]: Taking taylor expansion of ky in ky
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify 1 into 1
11.624 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.624 * [taylor]: Taking taylor expansion of ky in ky
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify 1 into 1
11.624 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.624 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.624 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.624 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.625 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.625 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.625 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.625 * [backup-simplify]: Simplify (* 0 0) into 0
11.625 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
11.625 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.625 * [backup-simplify]: Simplify (+ 0) into 0
11.626 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.626 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.627 * [backup-simplify]: Simplify (+ 0 0) into 0
11.627 * [backup-simplify]: Simplify (+ 0) into 0
11.627 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.628 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.628 * [backup-simplify]: Simplify (+ 0 0) into 0
11.628 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.629 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.630 * [backup-simplify]: Simplify (+ 0 0) into 0
11.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.630 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
11.630 * [backup-simplify]: Simplify (* (cos th) 0) into 0
11.630 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
11.630 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
11.630 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in kx
11.630 * [taylor]: Taking taylor expansion of (sin th) in kx
11.630 * [taylor]: Taking taylor expansion of th in kx
11.630 * [backup-simplify]: Simplify th into th
11.630 * [backup-simplify]: Simplify (sin th) into (sin th)
11.630 * [backup-simplify]: Simplify (cos th) into (cos th)
11.630 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
11.630 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.630 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
11.630 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.630 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.630 * [taylor]: Taking taylor expansion of kx in kx
11.630 * [backup-simplify]: Simplify 0 into 0
11.630 * [backup-simplify]: Simplify 1 into 1
11.630 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.630 * [taylor]: Taking taylor expansion of kx in kx
11.630 * [backup-simplify]: Simplify 0 into 0
11.630 * [backup-simplify]: Simplify 1 into 1
11.630 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.630 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.630 * [taylor]: Taking taylor expansion of ky in kx
11.630 * [backup-simplify]: Simplify ky into ky
11.630 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.630 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.630 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.630 * [taylor]: Taking taylor expansion of ky in kx
11.630 * [backup-simplify]: Simplify ky into ky
11.630 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.630 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.631 * [backup-simplify]: Simplify (* 0 0) into 0
11.631 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.631 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.631 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.631 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.631 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.631 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.631 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.631 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
11.631 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.632 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.633 * [backup-simplify]: Simplify (+ 0) into 0
11.633 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.634 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.634 * [backup-simplify]: Simplify (+ 0 0) into 0
11.634 * [backup-simplify]: Simplify (+ 0) into 0
11.634 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.635 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.635 * [backup-simplify]: Simplify (+ 0 0) into 0
11.636 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.636 * [backup-simplify]: Simplify (+ 0 0) into 0
11.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.636 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
11.636 * [backup-simplify]: Simplify (* (cos th) 0) into 0
11.636 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
11.636 * [backup-simplify]: Simplify (/ (sin th) (sin ky)) into (/ (sin th) (sin ky))
11.636 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in th
11.636 * [taylor]: Taking taylor expansion of (sin th) in th
11.636 * [taylor]: Taking taylor expansion of th in th
11.636 * [backup-simplify]: Simplify 0 into 0
11.636 * [backup-simplify]: Simplify 1 into 1
11.636 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
11.636 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.636 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
11.636 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
11.636 * [taylor]: Taking taylor expansion of (sin kx) in th
11.636 * [taylor]: Taking taylor expansion of kx in th
11.636 * [backup-simplify]: Simplify kx into kx
11.636 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.636 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.636 * [taylor]: Taking taylor expansion of (sin kx) in th
11.636 * [taylor]: Taking taylor expansion of kx in th
11.636 * [backup-simplify]: Simplify kx into kx
11.636 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.636 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.637 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
11.637 * [taylor]: Taking taylor expansion of (sin ky) in th
11.637 * [taylor]: Taking taylor expansion of ky in th
11.637 * [backup-simplify]: Simplify ky into ky
11.637 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.637 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.637 * [taylor]: Taking taylor expansion of (sin ky) in th
11.637 * [taylor]: Taking taylor expansion of ky in th
11.637 * [backup-simplify]: Simplify ky into ky
11.637 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.637 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.637 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.637 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.637 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.637 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.637 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.637 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.637 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.637 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.637 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.637 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.637 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.637 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.637 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.637 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.637 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
11.638 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.638 * [backup-simplify]: Simplify (+ 0) into 0
11.638 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.639 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.639 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.639 * [backup-simplify]: Simplify (+ 0 0) into 0
11.639 * [backup-simplify]: Simplify (+ 0) into 0
11.640 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.640 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.641 * [backup-simplify]: Simplify (+ 0 0) into 0
11.641 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.641 * [backup-simplify]: Simplify (+ 0) into 0
11.641 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.642 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.642 * [backup-simplify]: Simplify (+ 0 0) into 0
11.643 * [backup-simplify]: Simplify (+ 0) into 0
11.643 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.644 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.644 * [backup-simplify]: Simplify (+ 0 0) into 0
11.644 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.644 * [backup-simplify]: Simplify (+ 0 0) into 0
11.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
11.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.645 * [backup-simplify]: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))
11.645 * [taylor]: Taking taylor expansion of (/ (sin th) (hypot (sin kx) (sin ky))) in th
11.645 * [taylor]: Taking taylor expansion of (sin th) in th
11.645 * [taylor]: Taking taylor expansion of th in th
11.645 * [backup-simplify]: Simplify 0 into 0
11.645 * [backup-simplify]: Simplify 1 into 1
11.645 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
11.645 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.645 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
11.645 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
11.645 * [taylor]: Taking taylor expansion of (sin kx) in th
11.645 * [taylor]: Taking taylor expansion of kx in th
11.645 * [backup-simplify]: Simplify kx into kx
11.645 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.646 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.646 * [taylor]: Taking taylor expansion of (sin kx) in th
11.646 * [taylor]: Taking taylor expansion of kx in th
11.646 * [backup-simplify]: Simplify kx into kx
11.646 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.646 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.646 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
11.646 * [taylor]: Taking taylor expansion of (sin ky) in th
11.646 * [taylor]: Taking taylor expansion of ky in th
11.646 * [backup-simplify]: Simplify ky into ky
11.646 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.646 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.646 * [taylor]: Taking taylor expansion of (sin ky) in th
11.646 * [taylor]: Taking taylor expansion of ky in th
11.646 * [backup-simplify]: Simplify ky into ky
11.646 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.646 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.646 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.646 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.646 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.646 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.646 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.646 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.646 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.646 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.646 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.646 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.646 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.646 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.646 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.646 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.647 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
11.647 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.647 * [backup-simplify]: Simplify (+ 0) into 0
11.647 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.648 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.648 * [backup-simplify]: Simplify (+ 0 0) into 0
11.648 * [backup-simplify]: Simplify (+ 0) into 0
11.649 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.650 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.650 * [backup-simplify]: Simplify (+ 0 0) into 0
11.650 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.650 * [backup-simplify]: Simplify (+ 0) into 0
11.650 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.651 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.651 * [backup-simplify]: Simplify (+ 0 0) into 0
11.652 * [backup-simplify]: Simplify (+ 0) into 0
11.652 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.653 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.653 * [backup-simplify]: Simplify (+ 0 0) into 0
11.653 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.653 * [backup-simplify]: Simplify (+ 0 0) into 0
11.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
11.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.654 * [backup-simplify]: Simplify (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))
11.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
11.654 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
11.654 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
11.654 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
11.654 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.654 * [taylor]: Taking taylor expansion of ky in kx
11.654 * [backup-simplify]: Simplify ky into ky
11.654 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.654 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.654 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.654 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.654 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.654 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
11.654 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.654 * [taylor]: Taking taylor expansion of kx in kx
11.654 * [backup-simplify]: Simplify 0 into 0
11.654 * [backup-simplify]: Simplify 1 into 1
11.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.655 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.655 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.655 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
11.655 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
11.656 * [backup-simplify]: Simplify (+ 0) into 0
11.656 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.657 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.657 * [backup-simplify]: Simplify (+ 0 0) into 0
11.657 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.657 * [backup-simplify]: Simplify (+ 0 0) into 0
11.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
11.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
11.658 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
11.658 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.658 * [taylor]: Taking taylor expansion of ky in ky
11.658 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify 1 into 1
11.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.658 * [backup-simplify]: Simplify (/ 1 1) into 1
11.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.661 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into 0
11.661 * [taylor]: Taking taylor expansion of 0 in kx
11.661 * [backup-simplify]: Simplify 0 into 0
11.661 * [taylor]: Taking taylor expansion of 0 in ky
11.661 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify 0 into 0
11.661 * [taylor]: Taking taylor expansion of 0 in ky
11.661 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
11.662 * [backup-simplify]: Simplify 1/6 into 1/6
11.663 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.664 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.665 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.665 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.665 * [backup-simplify]: Simplify (+ 0 0) into 0
11.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.666 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.667 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.667 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.667 * [backup-simplify]: Simplify (+ 0 0) into 0
11.668 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.669 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.669 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.669 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.670 * [backup-simplify]: Simplify (+ 0 0) into 0
11.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.675 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.677 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.678 * [backup-simplify]: Simplify (+ 0 0) into 0
11.678 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
11.679 * [backup-simplify]: Simplify (+ 0 0) into 0
11.680 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
11.681 * [backup-simplify]: Simplify (- (/ -1/6 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (+ (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into (- (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))))
11.681 * [taylor]: Taking taylor expansion of (- (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))))) in kx
11.681 * [taylor]: Taking taylor expansion of (* 1/6 (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))))) in kx
11.681 * [taylor]: Taking taylor expansion of 1/6 in kx
11.681 * [backup-simplify]: Simplify 1/6 into 1/6
11.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in kx
11.681 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in kx
11.681 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in kx
11.681 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
11.681 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.681 * [taylor]: Taking taylor expansion of ky in kx
11.681 * [backup-simplify]: Simplify ky into ky
11.681 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.681 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.681 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.682 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.682 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.682 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
11.682 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.682 * [taylor]: Taking taylor expansion of kx in kx
11.682 * [backup-simplify]: Simplify 0 into 0
11.682 * [backup-simplify]: Simplify 1 into 1
11.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.683 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.683 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.683 * [backup-simplify]: Simplify (/ 1 (pow (sin ky) 2)) into (/ 1 (pow (sin ky) 2))
11.684 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin ky) 2))) into (/ 1 (sin ky))
11.684 * [backup-simplify]: Simplify (+ 0) into 0
11.685 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.686 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.686 * [backup-simplify]: Simplify (+ 0 0) into 0
11.686 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.687 * [backup-simplify]: Simplify (+ 0 0) into 0
11.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 0 (pow (sin ky) 2))))) into 0
11.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin ky) 2))))) into 0
11.687 * [backup-simplify]: Simplify (* 1/6 (/ 1 (sin ky))) into (/ 1/6 (sin ky))
11.688 * [backup-simplify]: Simplify (- (/ 1/6 (sin ky))) into (- (* 1/6 (/ 1 (sin ky))))
11.688 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin ky)))) in ky
11.688 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin ky))) in ky
11.688 * [taylor]: Taking taylor expansion of 1/6 in ky
11.688 * [backup-simplify]: Simplify 1/6 into 1/6
11.688 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky
11.688 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.688 * [taylor]: Taking taylor expansion of ky in ky
11.688 * [backup-simplify]: Simplify 0 into 0
11.688 * [backup-simplify]: Simplify 1 into 1
11.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.689 * [backup-simplify]: Simplify (/ 1 1) into 1
11.690 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.691 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
11.692 * [backup-simplify]: Simplify (- 0) into 0
11.692 * [backup-simplify]: Simplify 0 into 0
11.692 * [taylor]: Taking taylor expansion of 0 in ky
11.692 * [backup-simplify]: Simplify 0 into 0
11.692 * [backup-simplify]: Simplify 0 into 0
11.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.694 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.694 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.695 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.695 * [backup-simplify]: Simplify (+ 0 0) into 0
11.696 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
11.696 * [backup-simplify]: Simplify (* 1 1) into 1
11.697 * [backup-simplify]: Simplify (+ 0 1) into 1
11.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin ky) 2)) (/ 1 (pow (sin ky) 2))) (* 0 (/ 0 (pow (sin ky) 2))))) into (- (/ 1 (pow (sin ky) 4)))
11.698 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin ky) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin ky)))) into (/ -1/2 (pow (sin ky) 3))
11.698 * [taylor]: Taking taylor expansion of (/ -1/2 (pow (sin ky) 3)) in ky
11.698 * [taylor]: Taking taylor expansion of -1/2 in ky
11.698 * [backup-simplify]: Simplify -1/2 into -1/2
11.698 * [taylor]: Taking taylor expansion of (pow (sin ky) 3) in ky
11.698 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.698 * [taylor]: Taking taylor expansion of ky in ky
11.698 * [backup-simplify]: Simplify 0 into 0
11.698 * [backup-simplify]: Simplify 1 into 1
11.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.700 * [backup-simplify]: Simplify (* 1 1) into 1
11.700 * [backup-simplify]: Simplify (* 1 1) into 1
11.700 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.703 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
11.705 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
11.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
11.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
11.708 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
11.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into -1/4
11.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ -1/2 1)) (* -1/4 (/ 0 1)))) into 0
11.710 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify 0 into 0
11.711 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
11.712 * [backup-simplify]: Simplify 0 into 0
11.712 * [backup-simplify]: Simplify (* 1/6 (* ky (* 1 th))) into (* 1/6 (* ky th))
11.712 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) into (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
11.712 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (th kx ky) around 0
11.712 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
11.712 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
11.712 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
11.712 * [taylor]: Taking taylor expansion of th in ky
11.712 * [backup-simplify]: Simplify th into th
11.712 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.712 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.712 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.712 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
11.712 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.712 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
11.712 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.712 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.712 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.712 * [taylor]: Taking taylor expansion of kx in ky
11.712 * [backup-simplify]: Simplify kx into kx
11.712 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.712 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.712 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.712 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.712 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.712 * [taylor]: Taking taylor expansion of kx in ky
11.712 * [backup-simplify]: Simplify kx into kx
11.712 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.713 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.713 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.713 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.713 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.713 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.713 * [taylor]: Taking taylor expansion of ky in ky
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.713 * [backup-simplify]: Simplify (/ 1 1) into 1
11.713 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.713 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.713 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.713 * [taylor]: Taking taylor expansion of ky in ky
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.713 * [backup-simplify]: Simplify (/ 1 1) into 1
11.713 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.713 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.713 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.714 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.714 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.714 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.714 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.714 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.714 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.714 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.714 * [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)))
11.714 * [backup-simplify]: Simplify (+ 0) into 0
11.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.716 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.716 * [backup-simplify]: Simplify (+ 0 0) into 0
11.716 * [backup-simplify]: Simplify (+ 0) into 0
11.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.717 * [backup-simplify]: Simplify (+ 0 0) into 0
11.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.718 * [backup-simplify]: Simplify (+ 0 0) into 0
11.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.718 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.718 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.718 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.718 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
11.719 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
11.719 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
11.719 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
11.719 * [taylor]: Taking taylor expansion of th in kx
11.719 * [backup-simplify]: Simplify th into th
11.719 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.719 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.719 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.719 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
11.719 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.719 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
11.719 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.719 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.719 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.719 * [taylor]: Taking taylor expansion of kx in kx
11.719 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify 1 into 1
11.719 * [backup-simplify]: Simplify (/ 1 1) into 1
11.719 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.719 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.719 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.719 * [taylor]: Taking taylor expansion of kx in kx
11.719 * [backup-simplify]: Simplify 0 into 0
11.719 * [backup-simplify]: Simplify 1 into 1
11.720 * [backup-simplify]: Simplify (/ 1 1) into 1
11.720 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.720 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.720 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.720 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.720 * [taylor]: Taking taylor expansion of ky in kx
11.720 * [backup-simplify]: Simplify ky into ky
11.720 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.720 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.720 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.720 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.720 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.720 * [taylor]: Taking taylor expansion of ky in kx
11.720 * [backup-simplify]: Simplify ky into ky
11.720 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.720 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.720 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.720 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.720 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.720 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.720 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.720 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.720 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.720 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.720 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.721 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.721 * [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)))
11.721 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.721 * [backup-simplify]: Simplify (+ 0) into 0
11.721 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.722 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.722 * [backup-simplify]: Simplify (+ 0 0) into 0
11.723 * [backup-simplify]: Simplify (+ 0) into 0
11.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.724 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.724 * [backup-simplify]: Simplify (+ 0 0) into 0
11.724 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.724 * [backup-simplify]: Simplify (+ 0 0) into 0
11.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.725 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.725 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.725 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.725 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
11.725 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
11.725 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
11.725 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.725 * [taylor]: Taking taylor expansion of th in th
11.725 * [backup-simplify]: Simplify 0 into 0
11.725 * [backup-simplify]: Simplify 1 into 1
11.725 * [backup-simplify]: Simplify (/ 1 1) into 1
11.725 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.725 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
11.726 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.726 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
11.726 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
11.726 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.726 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.726 * [taylor]: Taking taylor expansion of kx in th
11.726 * [backup-simplify]: Simplify kx into kx
11.726 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.726 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.726 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.726 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.726 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.726 * [taylor]: Taking taylor expansion of kx in th
11.726 * [backup-simplify]: Simplify kx into kx
11.726 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.726 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.726 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.726 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
11.726 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.726 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.726 * [taylor]: Taking taylor expansion of ky in th
11.726 * [backup-simplify]: Simplify ky into ky
11.726 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.726 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.726 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.726 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.726 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.726 * [taylor]: Taking taylor expansion of ky in th
11.726 * [backup-simplify]: Simplify ky into ky
11.726 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.726 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.726 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.726 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.726 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.726 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.727 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.727 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.727 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.727 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.727 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.727 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.727 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.727 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.727 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.727 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.727 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.727 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.727 * [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)))
11.728 * [backup-simplify]: Simplify (+ 0) into 0
11.728 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.729 * [backup-simplify]: Simplify (+ 0 0) into 0
11.729 * [backup-simplify]: Simplify (+ 0) into 0
11.730 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.731 * [backup-simplify]: Simplify (+ 0 0) into 0
11.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.731 * [backup-simplify]: Simplify (+ 0) into 0
11.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.732 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.732 * [backup-simplify]: Simplify (+ 0 0) into 0
11.733 * [backup-simplify]: Simplify (+ 0) into 0
11.733 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.734 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.734 * [backup-simplify]: Simplify (+ 0 0) into 0
11.734 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.734 * [backup-simplify]: Simplify (+ 0 0) into 0
11.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.735 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
11.735 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 th)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
11.735 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
11.735 * [taylor]: Taking taylor expansion of (/ 1 th) in th
11.735 * [taylor]: Taking taylor expansion of th in th
11.735 * [backup-simplify]: Simplify 0 into 0
11.735 * [backup-simplify]: Simplify 1 into 1
11.735 * [backup-simplify]: Simplify (/ 1 1) into 1
11.735 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.735 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
11.735 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.735 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
11.735 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
11.735 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.735 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.735 * [taylor]: Taking taylor expansion of kx in th
11.735 * [backup-simplify]: Simplify kx into kx
11.735 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.735 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.736 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.736 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
11.736 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
11.736 * [taylor]: Taking taylor expansion of kx in th
11.736 * [backup-simplify]: Simplify kx into kx
11.736 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.736 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.736 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.736 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
11.736 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.736 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.736 * [taylor]: Taking taylor expansion of ky in th
11.736 * [backup-simplify]: Simplify ky into ky
11.736 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.736 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.736 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.736 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
11.736 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
11.736 * [taylor]: Taking taylor expansion of ky in th
11.736 * [backup-simplify]: Simplify ky into ky
11.736 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.736 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.736 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.736 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.736 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.736 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.736 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.736 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.736 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.736 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.736 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.736 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.737 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.737 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.737 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.737 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.737 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.737 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.737 * [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)))
11.737 * [backup-simplify]: Simplify (+ 0) into 0
11.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.739 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.739 * [backup-simplify]: Simplify (+ 0 0) into 0
11.739 * [backup-simplify]: Simplify (+ 0) into 0
11.739 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.740 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.740 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.740 * [backup-simplify]: Simplify (+ 0 0) into 0
11.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.741 * [backup-simplify]: Simplify (+ 0) into 0
11.741 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.742 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.742 * [backup-simplify]: Simplify (+ 0 0) into 0
11.742 * [backup-simplify]: Simplify (+ 0) into 0
11.743 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.744 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.744 * [backup-simplify]: Simplify (+ 0 0) into 0
11.744 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.744 * [backup-simplify]: Simplify (+ 0 0) into 0
11.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.745 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
11.745 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
11.745 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
11.745 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
11.745 * [taylor]: Taking taylor expansion of th in kx
11.745 * [backup-simplify]: Simplify th into th
11.745 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.745 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.745 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
11.745 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.745 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.745 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.745 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.745 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.745 * [taylor]: Taking taylor expansion of kx in kx
11.745 * [backup-simplify]: Simplify 0 into 0
11.745 * [backup-simplify]: Simplify 1 into 1
11.745 * [backup-simplify]: Simplify (/ 1 1) into 1
11.745 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.745 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.745 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.745 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.745 * [taylor]: Taking taylor expansion of ky in kx
11.745 * [backup-simplify]: Simplify ky into ky
11.745 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.746 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.746 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.746 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.746 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.746 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.746 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.746 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.746 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.746 * [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)))
11.746 * [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))))
11.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.747 * [backup-simplify]: Simplify (+ 0) into 0
11.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.748 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.748 * [backup-simplify]: Simplify (+ 0 0) into 0
11.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.748 * [backup-simplify]: Simplify (+ 0 0) into 0
11.749 * [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
11.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.749 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.749 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.749 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.749 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
11.749 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky
11.749 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
11.749 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
11.749 * [taylor]: Taking taylor expansion of th in ky
11.749 * [backup-simplify]: Simplify th into th
11.750 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
11.750 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
11.750 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
11.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
11.750 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
11.750 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
11.750 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
11.750 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.750 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.750 * [taylor]: Taking taylor expansion of kx in ky
11.750 * [backup-simplify]: Simplify kx into kx
11.750 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.750 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.750 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.750 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.750 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.750 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.750 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
11.750 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.750 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.750 * [taylor]: Taking taylor expansion of ky in ky
11.750 * [backup-simplify]: Simplify 0 into 0
11.750 * [backup-simplify]: Simplify 1 into 1
11.750 * [backup-simplify]: Simplify (/ 1 1) into 1
11.750 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.750 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.751 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.751 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.751 * [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)))
11.752 * [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))))
11.752 * [backup-simplify]: Simplify (+ 0) into 0
11.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.754 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.754 * [backup-simplify]: Simplify (+ 0 0) into 0
11.754 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.755 * [backup-simplify]: Simplify (+ 0 0) into 0
11.756 * [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
11.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.756 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
11.756 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
11.756 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
11.757 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
11.757 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (sin (/ 1 th)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
11.758 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sin (/ 1 th)) (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
11.758 * [taylor]: Taking taylor expansion of 0 in kx
11.758 * [backup-simplify]: Simplify 0 into 0
11.758 * [taylor]: Taking taylor expansion of 0 in ky
11.758 * [backup-simplify]: Simplify 0 into 0
11.758 * [backup-simplify]: Simplify 0 into 0
11.759 * [backup-simplify]: Simplify (+ 0) into 0
11.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
11.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
11.760 * [backup-simplify]: Simplify (+ 0 0) into 0
11.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.760 * [taylor]: Taking taylor expansion of 0 in ky
11.760 * [backup-simplify]: Simplify 0 into 0
11.761 * [backup-simplify]: Simplify 0 into 0
11.761 * [backup-simplify]: Simplify (+ 0) into 0
11.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
11.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
11.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.762 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
11.762 * [backup-simplify]: Simplify (+ 0 0) into 0
11.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.762 * [backup-simplify]: Simplify 0 into 0
11.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.763 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.764 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.764 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.765 * [backup-simplify]: Simplify (+ 0 0) into 0
11.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.766 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.767 * [backup-simplify]: Simplify (+ 0 0) into 0
11.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.768 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.769 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.769 * [backup-simplify]: Simplify (+ 0 0) into 0
11.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.771 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.771 * [backup-simplify]: Simplify (+ 0 0) into 0
11.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.772 * [backup-simplify]: Simplify (+ 0 0) into 0
11.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.773 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sin (/ 1 th)) (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
11.773 * [taylor]: Taking taylor expansion of 0 in kx
11.773 * [backup-simplify]: Simplify 0 into 0
11.773 * [taylor]: Taking taylor expansion of 0 in ky
11.773 * [backup-simplify]: Simplify 0 into 0
11.773 * [backup-simplify]: Simplify 0 into 0
11.774 * [taylor]: Taking taylor expansion of 0 in ky
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.774 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.775 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.775 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.776 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.776 * [backup-simplify]: Simplify (+ 0 0) into 0
11.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.777 * [backup-simplify]: Simplify (+ 0 0) into 0
11.777 * [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
11.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.779 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.780 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.780 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.780 * [backup-simplify]: Simplify (+ 0 0) into 0
11.781 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
11.781 * [taylor]: Taking taylor expansion of 0 in ky
11.781 * [backup-simplify]: Simplify 0 into 0
11.781 * [backup-simplify]: Simplify 0 into 0
11.781 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 th))) (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))
11.781 * [backup-simplify]: Simplify (/ (sin (/ 1 (- th))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
11.781 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (th kx ky) around 0
11.781 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
11.781 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.781 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.781 * [taylor]: Taking taylor expansion of -1 in ky
11.781 * [backup-simplify]: Simplify -1 into -1
11.781 * [taylor]: Taking taylor expansion of th in ky
11.781 * [backup-simplify]: Simplify th into th
11.781 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.781 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.781 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.781 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
11.781 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.781 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
11.782 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.782 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.782 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.782 * [taylor]: Taking taylor expansion of -1 in ky
11.782 * [backup-simplify]: Simplify -1 into -1
11.782 * [taylor]: Taking taylor expansion of kx in ky
11.782 * [backup-simplify]: Simplify kx into kx
11.782 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.782 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.782 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.782 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.782 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.782 * [taylor]: Taking taylor expansion of -1 in ky
11.782 * [backup-simplify]: Simplify -1 into -1
11.782 * [taylor]: Taking taylor expansion of kx in ky
11.782 * [backup-simplify]: Simplify kx into kx
11.782 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.782 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.782 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.782 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.782 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.782 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.782 * [taylor]: Taking taylor expansion of -1 in ky
11.782 * [backup-simplify]: Simplify -1 into -1
11.782 * [taylor]: Taking taylor expansion of ky in ky
11.782 * [backup-simplify]: Simplify 0 into 0
11.782 * [backup-simplify]: Simplify 1 into 1
11.783 * [backup-simplify]: Simplify (/ -1 1) into -1
11.783 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.783 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.783 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.783 * [taylor]: Taking taylor expansion of -1 in ky
11.783 * [backup-simplify]: Simplify -1 into -1
11.783 * [taylor]: Taking taylor expansion of ky in ky
11.783 * [backup-simplify]: Simplify 0 into 0
11.783 * [backup-simplify]: Simplify 1 into 1
11.783 * [backup-simplify]: Simplify (/ -1 1) into -1
11.783 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.783 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.783 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.783 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.783 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.783 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.783 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.784 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.784 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.784 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.784 * [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)))
11.784 * [backup-simplify]: Simplify (+ 0) into 0
11.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.785 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.789 * [backup-simplify]: Simplify (+ 0 0) into 0
11.790 * [backup-simplify]: Simplify (+ 0) into 0
11.790 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.790 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.791 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.791 * [backup-simplify]: Simplify (+ 0 0) into 0
11.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.792 * [backup-simplify]: Simplify (+ 0 0) into 0
11.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.792 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.792 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.792 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.792 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
11.792 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
11.792 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.792 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.792 * [taylor]: Taking taylor expansion of -1 in kx
11.792 * [backup-simplify]: Simplify -1 into -1
11.792 * [taylor]: Taking taylor expansion of th in kx
11.792 * [backup-simplify]: Simplify th into th
11.793 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.793 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.793 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.793 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
11.793 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.793 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
11.793 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.793 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.793 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.793 * [taylor]: Taking taylor expansion of -1 in kx
11.793 * [backup-simplify]: Simplify -1 into -1
11.793 * [taylor]: Taking taylor expansion of kx in kx
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 1 into 1
11.793 * [backup-simplify]: Simplify (/ -1 1) into -1
11.793 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.793 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.793 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.793 * [taylor]: Taking taylor expansion of -1 in kx
11.793 * [backup-simplify]: Simplify -1 into -1
11.793 * [taylor]: Taking taylor expansion of kx in kx
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 1 into 1
11.794 * [backup-simplify]: Simplify (/ -1 1) into -1
11.794 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.794 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.794 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.794 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.794 * [taylor]: Taking taylor expansion of -1 in kx
11.794 * [backup-simplify]: Simplify -1 into -1
11.794 * [taylor]: Taking taylor expansion of ky in kx
11.794 * [backup-simplify]: Simplify ky into ky
11.794 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.794 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.794 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.794 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.794 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.794 * [taylor]: Taking taylor expansion of -1 in kx
11.794 * [backup-simplify]: Simplify -1 into -1
11.794 * [taylor]: Taking taylor expansion of ky in kx
11.794 * [backup-simplify]: Simplify ky into ky
11.794 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.794 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.794 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.794 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.794 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.794 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.794 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.794 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.794 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.794 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.795 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.795 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.795 * [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)))
11.795 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.795 * [backup-simplify]: Simplify (+ 0) into 0
11.796 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.796 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.796 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.797 * [backup-simplify]: Simplify (+ 0 0) into 0
11.797 * [backup-simplify]: Simplify (+ 0) into 0
11.797 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.797 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.798 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.798 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.798 * [backup-simplify]: Simplify (+ 0 0) into 0
11.798 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.799 * [backup-simplify]: Simplify (+ 0 0) into 0
11.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.799 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.799 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.799 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.799 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
11.799 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
11.799 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.799 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.799 * [taylor]: Taking taylor expansion of -1 in th
11.799 * [backup-simplify]: Simplify -1 into -1
11.799 * [taylor]: Taking taylor expansion of th in th
11.799 * [backup-simplify]: Simplify 0 into 0
11.799 * [backup-simplify]: Simplify 1 into 1
11.800 * [backup-simplify]: Simplify (/ -1 1) into -1
11.800 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.800 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
11.800 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.800 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
11.800 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.800 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.800 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.800 * [taylor]: Taking taylor expansion of -1 in th
11.800 * [backup-simplify]: Simplify -1 into -1
11.800 * [taylor]: Taking taylor expansion of kx in th
11.800 * [backup-simplify]: Simplify kx into kx
11.800 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.800 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.800 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.800 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.800 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.800 * [taylor]: Taking taylor expansion of -1 in th
11.800 * [backup-simplify]: Simplify -1 into -1
11.800 * [taylor]: Taking taylor expansion of kx in th
11.800 * [backup-simplify]: Simplify kx into kx
11.800 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.800 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.800 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.800 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.800 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.800 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.800 * [taylor]: Taking taylor expansion of -1 in th
11.800 * [backup-simplify]: Simplify -1 into -1
11.800 * [taylor]: Taking taylor expansion of ky in th
11.800 * [backup-simplify]: Simplify ky into ky
11.800 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.801 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.801 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.801 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.801 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.801 * [taylor]: Taking taylor expansion of -1 in th
11.801 * [backup-simplify]: Simplify -1 into -1
11.801 * [taylor]: Taking taylor expansion of ky in th
11.801 * [backup-simplify]: Simplify ky into ky
11.801 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.801 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.801 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.801 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.801 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.801 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.801 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.801 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.801 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.801 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.801 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.801 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.801 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.801 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.801 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.801 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.801 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.802 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.802 * [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)))
11.802 * [backup-simplify]: Simplify (+ 0) into 0
11.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.803 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.804 * [backup-simplify]: Simplify (+ 0 0) into 0
11.804 * [backup-simplify]: Simplify (+ 0) into 0
11.804 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.804 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.805 * [backup-simplify]: Simplify (+ 0 0) into 0
11.805 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.805 * [backup-simplify]: Simplify (+ 0) into 0
11.806 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.806 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.806 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.807 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.807 * [backup-simplify]: Simplify (+ 0 0) into 0
11.807 * [backup-simplify]: Simplify (+ 0) into 0
11.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.808 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.808 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.809 * [backup-simplify]: Simplify (+ 0 0) into 0
11.809 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.809 * [backup-simplify]: Simplify (+ 0 0) into 0
11.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.809 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
11.809 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 th)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
11.809 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.809 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.809 * [taylor]: Taking taylor expansion of -1 in th
11.809 * [backup-simplify]: Simplify -1 into -1
11.809 * [taylor]: Taking taylor expansion of th in th
11.809 * [backup-simplify]: Simplify 0 into 0
11.810 * [backup-simplify]: Simplify 1 into 1
11.810 * [backup-simplify]: Simplify (/ -1 1) into -1
11.810 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.810 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
11.810 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.810 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
11.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.810 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.810 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.810 * [taylor]: Taking taylor expansion of -1 in th
11.810 * [backup-simplify]: Simplify -1 into -1
11.810 * [taylor]: Taking taylor expansion of kx in th
11.810 * [backup-simplify]: Simplify kx into kx
11.810 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.810 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.810 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.810 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.810 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.810 * [taylor]: Taking taylor expansion of -1 in th
11.810 * [backup-simplify]: Simplify -1 into -1
11.810 * [taylor]: Taking taylor expansion of kx in th
11.810 * [backup-simplify]: Simplify kx into kx
11.810 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.810 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.810 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.810 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.810 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.810 * [taylor]: Taking taylor expansion of -1 in th
11.810 * [backup-simplify]: Simplify -1 into -1
11.810 * [taylor]: Taking taylor expansion of ky in th
11.810 * [backup-simplify]: Simplify ky into ky
11.811 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.811 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.811 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.811 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.811 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.811 * [taylor]: Taking taylor expansion of -1 in th
11.811 * [backup-simplify]: Simplify -1 into -1
11.811 * [taylor]: Taking taylor expansion of ky in th
11.811 * [backup-simplify]: Simplify ky into ky
11.811 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.811 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.811 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.811 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.811 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.811 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.811 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.811 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.811 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.811 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.811 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.811 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.811 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.811 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.811 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.811 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.812 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.812 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.812 * [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)))
11.812 * [backup-simplify]: Simplify (+ 0) into 0
11.812 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.813 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.813 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.814 * [backup-simplify]: Simplify (+ 0 0) into 0
11.814 * [backup-simplify]: Simplify (+ 0) into 0
11.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.814 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.815 * [backup-simplify]: Simplify (+ 0 0) into 0
11.815 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.816 * [backup-simplify]: Simplify (+ 0) into 0
11.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.816 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.817 * [backup-simplify]: Simplify (+ 0 0) into 0
11.817 * [backup-simplify]: Simplify (+ 0) into 0
11.818 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.818 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.819 * [backup-simplify]: Simplify (+ 0 0) into 0
11.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.819 * [backup-simplify]: Simplify (+ 0 0) into 0
11.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.820 * [backup-simplify]: Simplify (/ (sin (/ -1 th)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
11.820 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
11.820 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.820 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.820 * [taylor]: Taking taylor expansion of -1 in kx
11.820 * [backup-simplify]: Simplify -1 into -1
11.820 * [taylor]: Taking taylor expansion of th in kx
11.820 * [backup-simplify]: Simplify th into th
11.820 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.820 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.820 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
11.820 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.820 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.820 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.820 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.820 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.820 * [taylor]: Taking taylor expansion of -1 in kx
11.820 * [backup-simplify]: Simplify -1 into -1
11.820 * [taylor]: Taking taylor expansion of kx in kx
11.820 * [backup-simplify]: Simplify 0 into 0
11.820 * [backup-simplify]: Simplify 1 into 1
11.820 * [backup-simplify]: Simplify (/ -1 1) into -1
11.820 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.821 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.821 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.821 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.821 * [taylor]: Taking taylor expansion of -1 in kx
11.821 * [backup-simplify]: Simplify -1 into -1
11.821 * [taylor]: Taking taylor expansion of ky in kx
11.821 * [backup-simplify]: Simplify ky into ky
11.821 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.821 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.821 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.821 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.821 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.821 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.821 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.821 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.821 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.821 * [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)))
11.822 * [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))))
11.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.822 * [backup-simplify]: Simplify (+ 0) into 0
11.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.822 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.823 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.824 * [backup-simplify]: Simplify (+ 0 0) into 0
11.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.824 * [backup-simplify]: Simplify (+ 0 0) into 0
11.824 * [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
11.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.825 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.825 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.825 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.825 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
11.825 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
11.825 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.825 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.825 * [taylor]: Taking taylor expansion of -1 in ky
11.825 * [backup-simplify]: Simplify -1 into -1
11.825 * [taylor]: Taking taylor expansion of th in ky
11.825 * [backup-simplify]: Simplify th into th
11.825 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.825 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.825 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
11.825 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
11.825 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
11.825 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
11.825 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.825 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.825 * [taylor]: Taking taylor expansion of -1 in ky
11.825 * [backup-simplify]: Simplify -1 into -1
11.825 * [taylor]: Taking taylor expansion of kx in ky
11.825 * [backup-simplify]: Simplify kx into kx
11.825 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.825 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.825 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.825 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.825 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.826 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.826 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
11.826 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.826 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.826 * [taylor]: Taking taylor expansion of -1 in ky
11.826 * [backup-simplify]: Simplify -1 into -1
11.826 * [taylor]: Taking taylor expansion of ky in ky
11.826 * [backup-simplify]: Simplify 0 into 0
11.826 * [backup-simplify]: Simplify 1 into 1
11.826 * [backup-simplify]: Simplify (/ -1 1) into -1
11.826 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.826 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.826 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.826 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.826 * [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)))
11.827 * [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))))
11.827 * [backup-simplify]: Simplify (+ 0) into 0
11.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.827 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.828 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.828 * [backup-simplify]: Simplify (+ 0 0) into 0
11.828 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.829 * [backup-simplify]: Simplify (+ 0 0) into 0
11.829 * [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
11.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.829 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.829 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.829 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.830 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
11.830 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (sin (/ -1 th)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
11.830 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sin (/ -1 th)) (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
11.831 * [taylor]: Taking taylor expansion of 0 in kx
11.831 * [backup-simplify]: Simplify 0 into 0
11.831 * [taylor]: Taking taylor expansion of 0 in ky
11.831 * [backup-simplify]: Simplify 0 into 0
11.831 * [backup-simplify]: Simplify 0 into 0
11.831 * [backup-simplify]: Simplify (+ 0) into 0
11.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.831 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.832 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.832 * [backup-simplify]: Simplify (+ 0 0) into 0
11.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.833 * [taylor]: Taking taylor expansion of 0 in ky
11.833 * [backup-simplify]: Simplify 0 into 0
11.833 * [backup-simplify]: Simplify 0 into 0
11.833 * [backup-simplify]: Simplify (+ 0) into 0
11.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.833 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.834 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.834 * [backup-simplify]: Simplify (+ 0 0) into 0
11.835 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.835 * [backup-simplify]: Simplify 0 into 0
11.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.836 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.836 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.836 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.837 * [backup-simplify]: Simplify (+ 0 0) into 0
11.837 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.838 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.839 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.840 * [backup-simplify]: Simplify (+ 0 0) into 0
11.840 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.842 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.842 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.843 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.844 * [backup-simplify]: Simplify (+ 0 0) into 0
11.845 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.846 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.846 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.847 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.847 * [backup-simplify]: Simplify (+ 0 0) into 0
11.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.848 * [backup-simplify]: Simplify (+ 0 0) into 0
11.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.851 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sin (/ -1 th)) (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
11.851 * [taylor]: Taking taylor expansion of 0 in kx
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [taylor]: Taking taylor expansion of 0 in ky
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [taylor]: Taking taylor expansion of 0 in ky
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.852 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.853 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.854 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.855 * [backup-simplify]: Simplify (+ 0 0) into 0
11.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.856 * [backup-simplify]: Simplify (+ 0 0) into 0
11.856 * [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
11.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.859 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.861 * [backup-simplify]: Simplify (+ 0 0) into 0
11.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
11.861 * [taylor]: Taking taylor expansion of 0 in ky
11.861 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- th)))) (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))
11.862 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2)
11.862 * [backup-simplify]: Simplify (hypot (sin kx) (sin ky)) into (hypot (sin kx) (sin ky))
11.862 * [approximate]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in (kx ky) around 0
11.862 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
11.862 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.862 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
11.862 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.862 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.862 * [taylor]: Taking taylor expansion of kx in ky
11.863 * [backup-simplify]: Simplify kx into kx
11.863 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.863 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.863 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.863 * [taylor]: Taking taylor expansion of kx in ky
11.863 * [backup-simplify]: Simplify kx into kx
11.863 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.863 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.863 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.863 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.863 * [taylor]: Taking taylor expansion of ky in ky
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify 1 into 1
11.863 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.863 * [taylor]: Taking taylor expansion of ky in ky
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify 1 into 1
11.863 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.863 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.863 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.863 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.863 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.863 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.863 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.864 * [backup-simplify]: Simplify (* 0 0) into 0
11.864 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
11.864 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.865 * [backup-simplify]: Simplify (+ 0) into 0
11.865 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.866 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.866 * [backup-simplify]: Simplify (+ 0 0) into 0
11.867 * [backup-simplify]: Simplify (+ 0) into 0
11.867 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.869 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.869 * [backup-simplify]: Simplify (+ 0 0) into 0
11.869 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.871 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.871 * [backup-simplify]: Simplify (+ 0 0) into 0
11.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.872 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
11.872 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.872 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
11.872 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.872 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.872 * [taylor]: Taking taylor expansion of kx in kx
11.872 * [backup-simplify]: Simplify 0 into 0
11.872 * [backup-simplify]: Simplify 1 into 1
11.872 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.872 * [taylor]: Taking taylor expansion of kx in kx
11.872 * [backup-simplify]: Simplify 0 into 0
11.872 * [backup-simplify]: Simplify 1 into 1
11.872 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.872 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.872 * [taylor]: Taking taylor expansion of ky in kx
11.872 * [backup-simplify]: Simplify ky into ky
11.872 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.872 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.872 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.872 * [taylor]: Taking taylor expansion of ky in kx
11.872 * [backup-simplify]: Simplify ky into ky
11.872 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.872 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.873 * [backup-simplify]: Simplify (* 0 0) into 0
11.873 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.873 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.873 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.873 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.873 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.873 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.873 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.873 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
11.874 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.875 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.876 * [backup-simplify]: Simplify (+ 0) into 0
11.876 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.877 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.877 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.878 * [backup-simplify]: Simplify (+ 0 0) into 0
11.878 * [backup-simplify]: Simplify (+ 0) into 0
11.879 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.880 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.880 * [backup-simplify]: Simplify (+ 0 0) into 0
11.880 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.881 * [backup-simplify]: Simplify (+ 0 0) into 0
11.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.881 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
11.881 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
11.881 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
11.881 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.881 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.881 * [taylor]: Taking taylor expansion of kx in kx
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 1 into 1
11.881 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.881 * [taylor]: Taking taylor expansion of kx in kx
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 1 into 1
11.881 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.881 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.881 * [taylor]: Taking taylor expansion of ky in kx
11.881 * [backup-simplify]: Simplify ky into ky
11.881 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.881 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.881 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.881 * [taylor]: Taking taylor expansion of ky in kx
11.881 * [backup-simplify]: Simplify ky into ky
11.881 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.882 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.882 * [backup-simplify]: Simplify (* 0 0) into 0
11.882 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.882 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.882 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.882 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.882 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.882 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.882 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.883 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
11.883 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.885 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.885 * [backup-simplify]: Simplify (+ 0) into 0
11.885 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.887 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.887 * [backup-simplify]: Simplify (+ 0 0) into 0
11.887 * [backup-simplify]: Simplify (+ 0) into 0
11.888 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.889 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.889 * [backup-simplify]: Simplify (+ 0 0) into 0
11.889 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.890 * [backup-simplify]: Simplify (+ 0 0) into 0
11.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.890 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.890 * [taylor]: Taking taylor expansion of ky in ky
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify 1 into 1
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [taylor]: Taking taylor expansion of 0 in ky
11.890 * [backup-simplify]: Simplify 0 into 0
11.890 * [backup-simplify]: Simplify 0 into 0
11.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.891 * [backup-simplify]: Simplify 1 into 1
11.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.892 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.895 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.896 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.896 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.896 * [backup-simplify]: Simplify (+ 0 0) into 0
11.897 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.898 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
11.899 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.899 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
11.899 * [backup-simplify]: Simplify (+ 0 0) into 0
11.900 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
11.900 * [backup-simplify]: Simplify (+ 1 0) into 1
11.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin ky))) into (/ 1/2 (sin ky))
11.901 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky
11.901 * [taylor]: Taking taylor expansion of 1/2 in ky
11.901 * [backup-simplify]: Simplify 1/2 into 1/2
11.901 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.901 * [taylor]: Taking taylor expansion of ky in ky
11.901 * [backup-simplify]: Simplify 0 into 0
11.901 * [backup-simplify]: Simplify 1 into 1
11.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.903 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.904 * [backup-simplify]: Simplify 0 into 0
11.904 * [backup-simplify]: Simplify 0 into 0
11.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.909 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.913 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.914 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
11.915 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.916 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.918 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.918 * [backup-simplify]: Simplify (+ 0 0) into 0
11.919 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.920 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.922 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.923 * [backup-simplify]: Simplify (+ 0 0) into 0
11.923 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin ky))))) into 0
11.924 * [backup-simplify]: Simplify (+ 0 0) into 0
11.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin ky)))))) (* 2 (sin ky))) into 0
11.924 * [taylor]: Taking taylor expansion of 0 in ky
11.924 * [backup-simplify]: Simplify 0 into 0
11.924 * [backup-simplify]: Simplify 0 into 0
11.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
11.927 * [backup-simplify]: Simplify 1/12 into 1/12
11.927 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.928 * [backup-simplify]: Simplify -1/6 into -1/6
11.929 * [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)))
11.929 * [backup-simplify]: Simplify (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) into (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))
11.929 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in (kx ky) around 0
11.929 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
11.929 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.929 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
11.929 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.929 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.929 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.929 * [taylor]: Taking taylor expansion of kx in ky
11.929 * [backup-simplify]: Simplify kx into kx
11.929 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.930 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.930 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.930 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.930 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.930 * [taylor]: Taking taylor expansion of kx in ky
11.930 * [backup-simplify]: Simplify kx into kx
11.930 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.930 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.930 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.930 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.930 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.930 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.930 * [taylor]: Taking taylor expansion of ky in ky
11.930 * [backup-simplify]: Simplify 0 into 0
11.930 * [backup-simplify]: Simplify 1 into 1
11.931 * [backup-simplify]: Simplify (/ 1 1) into 1
11.931 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.931 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.931 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.931 * [taylor]: Taking taylor expansion of ky in ky
11.931 * [backup-simplify]: Simplify 0 into 0
11.931 * [backup-simplify]: Simplify 1 into 1
11.931 * [backup-simplify]: Simplify (/ 1 1) into 1
11.931 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.931 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.931 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.931 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.931 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.931 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.931 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.931 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.931 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.932 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.932 * [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)))
11.932 * [backup-simplify]: Simplify (+ 0) into 0
11.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.933 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.933 * [backup-simplify]: Simplify (+ 0 0) into 0
11.934 * [backup-simplify]: Simplify (+ 0) into 0
11.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.935 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.935 * [backup-simplify]: Simplify (+ 0 0) into 0
11.935 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.935 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.935 * [backup-simplify]: Simplify (+ 0 0) into 0
11.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.936 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
11.936 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.936 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
11.936 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.936 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.936 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.936 * [taylor]: Taking taylor expansion of kx in kx
11.936 * [backup-simplify]: Simplify 0 into 0
11.936 * [backup-simplify]: Simplify 1 into 1
11.936 * [backup-simplify]: Simplify (/ 1 1) into 1
11.936 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.936 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.936 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.936 * [taylor]: Taking taylor expansion of kx in kx
11.936 * [backup-simplify]: Simplify 0 into 0
11.936 * [backup-simplify]: Simplify 1 into 1
11.937 * [backup-simplify]: Simplify (/ 1 1) into 1
11.937 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.937 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.937 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.937 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.937 * [taylor]: Taking taylor expansion of ky in kx
11.937 * [backup-simplify]: Simplify ky into ky
11.937 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.937 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.937 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.937 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.937 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.937 * [taylor]: Taking taylor expansion of ky in kx
11.937 * [backup-simplify]: Simplify ky into ky
11.937 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.937 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.937 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.937 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.937 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.937 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.937 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.937 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.937 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.937 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.937 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.938 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.938 * [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)))
11.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.938 * [backup-simplify]: Simplify (+ 0) into 0
11.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.940 * [backup-simplify]: Simplify (+ 0 0) into 0
11.940 * [backup-simplify]: Simplify (+ 0) into 0
11.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.941 * [backup-simplify]: Simplify (+ 0 0) into 0
11.941 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.941 * [backup-simplify]: Simplify (+ 0 0) into 0
11.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.942 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
11.942 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
11.942 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
11.942 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.942 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.942 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.942 * [taylor]: Taking taylor expansion of kx in kx
11.942 * [backup-simplify]: Simplify 0 into 0
11.942 * [backup-simplify]: Simplify 1 into 1
11.942 * [backup-simplify]: Simplify (/ 1 1) into 1
11.942 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.942 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.942 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.942 * [taylor]: Taking taylor expansion of kx in kx
11.942 * [backup-simplify]: Simplify 0 into 0
11.942 * [backup-simplify]: Simplify 1 into 1
11.942 * [backup-simplify]: Simplify (/ 1 1) into 1
11.943 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.943 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.943 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.943 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.943 * [taylor]: Taking taylor expansion of ky in kx
11.943 * [backup-simplify]: Simplify ky into ky
11.943 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.943 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.943 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.943 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.943 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.943 * [taylor]: Taking taylor expansion of ky in kx
11.943 * [backup-simplify]: Simplify ky into ky
11.943 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.943 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.943 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.943 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.943 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.943 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.943 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.943 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.943 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.943 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.943 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.944 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.944 * [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)))
11.944 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.944 * [backup-simplify]: Simplify (+ 0) into 0
11.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.947 * [backup-simplify]: Simplify (+ 0 0) into 0
11.947 * [backup-simplify]: Simplify (+ 0) into 0
11.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.949 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.949 * [backup-simplify]: Simplify (+ 0 0) into 0
11.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.949 * [backup-simplify]: Simplify (+ 0 0) into 0
11.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
11.950 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
11.950 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
11.950 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.950 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.950 * [taylor]: Taking taylor expansion of kx in ky
11.950 * [backup-simplify]: Simplify kx into kx
11.950 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.950 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.950 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.950 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.950 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.950 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.951 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
11.951 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.951 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.951 * [taylor]: Taking taylor expansion of ky in ky
11.951 * [backup-simplify]: Simplify 0 into 0
11.951 * [backup-simplify]: Simplify 1 into 1
11.951 * [backup-simplify]: Simplify (/ 1 1) into 1
11.951 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.951 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.951 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.952 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.952 * [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)))
11.952 * [backup-simplify]: Simplify (+ 0) into 0
11.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.954 * [backup-simplify]: Simplify (+ 0 0) into 0
11.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.955 * [backup-simplify]: Simplify (+ 0 0) into 0
11.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.956 * [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)))
11.956 * [taylor]: Taking taylor expansion of 0 in ky
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify 0 into 0
11.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.957 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.959 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.960 * [backup-simplify]: Simplify (+ 0 0) into 0
11.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.961 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.962 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.963 * [backup-simplify]: Simplify (+ 0 0) into 0
11.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.964 * [backup-simplify]: Simplify (+ 0 0) into 0
11.965 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.965 * [taylor]: Taking taylor expansion of 0 in ky
11.965 * [backup-simplify]: Simplify 0 into 0
11.965 * [backup-simplify]: Simplify 0 into 0
11.965 * [backup-simplify]: Simplify 0 into 0
11.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.968 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.968 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.969 * [backup-simplify]: Simplify (+ 0 0) into 0
11.969 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.970 * [backup-simplify]: Simplify (+ 0 0) into 0
11.971 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.971 * [backup-simplify]: Simplify 0 into 0
11.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
11.973 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.974 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.976 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.977 * [backup-simplify]: Simplify (+ 0 0) into 0
11.978 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.982 * [backup-simplify]: Simplify (+ 0 0) into 0
11.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
11.983 * [backup-simplify]: Simplify (+ 0 0) into 0
11.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.984 * [taylor]: Taking taylor expansion of 0 in ky
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [backup-simplify]: Simplify 0 into 0
11.985 * [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)))
11.985 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))) into (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))
11.985 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in (kx ky) around 0
11.985 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
11.985 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.985 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
11.985 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.985 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.985 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.985 * [taylor]: Taking taylor expansion of -1 in ky
11.985 * [backup-simplify]: Simplify -1 into -1
11.985 * [taylor]: Taking taylor expansion of kx in ky
11.985 * [backup-simplify]: Simplify kx into kx
11.985 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.985 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.985 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.985 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.985 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.986 * [taylor]: Taking taylor expansion of -1 in ky
11.986 * [backup-simplify]: Simplify -1 into -1
11.986 * [taylor]: Taking taylor expansion of kx in ky
11.986 * [backup-simplify]: Simplify kx into kx
11.986 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.986 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.986 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.986 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.986 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.986 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.986 * [taylor]: Taking taylor expansion of -1 in ky
11.986 * [backup-simplify]: Simplify -1 into -1
11.986 * [taylor]: Taking taylor expansion of ky in ky
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 1 into 1
11.986 * [backup-simplify]: Simplify (/ -1 1) into -1
11.986 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.986 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.986 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.987 * [taylor]: Taking taylor expansion of -1 in ky
11.987 * [backup-simplify]: Simplify -1 into -1
11.987 * [taylor]: Taking taylor expansion of ky in ky
11.987 * [backup-simplify]: Simplify 0 into 0
11.987 * [backup-simplify]: Simplify 1 into 1
11.987 * [backup-simplify]: Simplify (/ -1 1) into -1
11.987 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.987 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.987 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.987 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.987 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.987 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.988 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.988 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.988 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.988 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.988 * [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)))
11.989 * [backup-simplify]: Simplify (+ 0) into 0
11.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.989 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.991 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.991 * [backup-simplify]: Simplify (+ 0 0) into 0
11.992 * [backup-simplify]: Simplify (+ 0) into 0
11.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.992 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.994 * [backup-simplify]: Simplify (+ 0 0) into 0
11.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.995 * [backup-simplify]: Simplify (+ 0 0) into 0
11.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.995 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
11.995 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
11.995 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
11.995 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.995 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.995 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.995 * [taylor]: Taking taylor expansion of -1 in kx
11.996 * [backup-simplify]: Simplify -1 into -1
11.996 * [taylor]: Taking taylor expansion of kx in kx
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.996 * [backup-simplify]: Simplify (/ -1 1) into -1
11.996 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.996 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.996 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.996 * [taylor]: Taking taylor expansion of -1 in kx
11.996 * [backup-simplify]: Simplify -1 into -1
11.996 * [taylor]: Taking taylor expansion of kx in kx
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.997 * [backup-simplify]: Simplify (/ -1 1) into -1
11.997 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.997 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.997 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.997 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.997 * [taylor]: Taking taylor expansion of -1 in kx
11.997 * [backup-simplify]: Simplify -1 into -1
11.997 * [taylor]: Taking taylor expansion of ky in kx
11.997 * [backup-simplify]: Simplify ky into ky
11.997 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.997 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.997 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.997 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.997 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.997 * [taylor]: Taking taylor expansion of -1 in kx
11.997 * [backup-simplify]: Simplify -1 into -1
11.998 * [taylor]: Taking taylor expansion of ky in kx
11.998 * [backup-simplify]: Simplify ky into ky
11.998 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.998 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.998 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.998 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.998 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.998 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.998 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.998 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.998 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.998 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.999 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.999 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.999 * [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)))
11.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.000 * [backup-simplify]: Simplify (+ 0) into 0
12.000 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.000 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.002 * [backup-simplify]: Simplify (+ 0 0) into 0
12.002 * [backup-simplify]: Simplify (+ 0) into 0
12.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.003 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.004 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.004 * [backup-simplify]: Simplify (+ 0 0) into 0
12.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.005 * [backup-simplify]: Simplify (+ 0 0) into 0
12.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.005 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
12.005 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
12.005 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
12.005 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
12.005 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.005 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.005 * [taylor]: Taking taylor expansion of -1 in kx
12.005 * [backup-simplify]: Simplify -1 into -1
12.006 * [taylor]: Taking taylor expansion of kx in kx
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify 1 into 1
12.006 * [backup-simplify]: Simplify (/ -1 1) into -1
12.006 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.006 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
12.006 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
12.006 * [taylor]: Taking taylor expansion of -1 in kx
12.006 * [backup-simplify]: Simplify -1 into -1
12.006 * [taylor]: Taking taylor expansion of kx in kx
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify 1 into 1
12.007 * [backup-simplify]: Simplify (/ -1 1) into -1
12.007 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.007 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
12.007 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.007 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.007 * [taylor]: Taking taylor expansion of -1 in kx
12.007 * [backup-simplify]: Simplify -1 into -1
12.007 * [taylor]: Taking taylor expansion of ky in kx
12.007 * [backup-simplify]: Simplify ky into ky
12.007 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.007 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.007 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.007 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
12.007 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
12.007 * [taylor]: Taking taylor expansion of -1 in kx
12.007 * [backup-simplify]: Simplify -1 into -1
12.007 * [taylor]: Taking taylor expansion of ky in kx
12.007 * [backup-simplify]: Simplify ky into ky
12.007 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
12.007 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.007 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
12.008 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.008 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.008 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.008 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.008 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
12.008 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
12.008 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
12.008 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.008 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.009 * [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)))
12.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.009 * [backup-simplify]: Simplify (+ 0) into 0
12.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.010 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.012 * [backup-simplify]: Simplify (+ 0 0) into 0
12.012 * [backup-simplify]: Simplify (+ 0) into 0
12.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
12.013 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
12.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
12.014 * [backup-simplify]: Simplify (+ 0 0) into 0
12.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.015 * [backup-simplify]: Simplify (+ 0 0) into 0
12.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.015 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
12.015 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
12.015 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
12.015 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
12.015 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
12.015 * [taylor]: Taking taylor expansion of -1 in ky
12.015 * [backup-simplify]: Simplify -1 into -1
12.015 * [taylor]: Taking taylor expansion of kx in ky
12.015 * [backup-simplify]: Simplify kx into kx
12.015 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
12.015 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
12.015 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
12.016 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
12.016 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
12.016 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
12.016 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
12.016 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
12.016 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
12.016 * [taylor]: Taking taylor expansion of -1 in ky
12.016 * [backup-simplify]: Simplify -1 into -1
12.016 * [taylor]: Taking taylor expansion of ky in ky
12.016 * [backup-simplify]: Simplify 0 into 0
12.016 * [backup-simplify]: Simplify 1 into 1
12.016 * [backup-simplify]: Simplify (/ -1 1) into -1
12.016 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
12.017 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
12.017 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
12.017 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
12.017 * [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)))
12.018 * [backup-simplify]: Simplify (+ 0) into 0
12.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
12.018 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
12.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.019 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
12.020 * [backup-simplify]: Simplify (+ 0 0) into 0
12.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
12.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
12.020 * [backup-simplify]: Simplify (+ 0 0) into 0
12.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.021 * [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)))
12.021 * [taylor]: Taking taylor expansion of 0 in ky
12.021 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify 0 into 0
12.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.023 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.024 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.025 * [backup-simplify]: Simplify (+ 0 0) into 0
12.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
12.027 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
12.029 * [backup-simplify]: Simplify (+ 0 0) into 0
12.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.030 * [backup-simplify]: Simplify (+ 0 0) into 0
12.031 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.031 * [taylor]: Taking taylor expansion of 0 in ky
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.031 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
12.033 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
12.033 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
12.034 * [backup-simplify]: Simplify (+ 0 0) into 0
12.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
12.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
12.036 * [backup-simplify]: Simplify (+ 0 0) into 0
12.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.037 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
12.038 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.040 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.043 * [backup-simplify]: Simplify (+ 0 0) into 0
12.044 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.045 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
12.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.047 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.047 * [backup-simplify]: Simplify (+ 0 0) into 0
12.053 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
12.054 * [backup-simplify]: Simplify (+ 0 0) into 0
12.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
12.055 * [taylor]: Taking taylor expansion of 0 in ky
12.055 * [backup-simplify]: Simplify 0 into 0
12.055 * [backup-simplify]: Simplify 0 into 0
12.055 * [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)))
12.055 * * * [progress]: simplifying candidates
12.055 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.055 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) 1))>
12.056 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) 1))>
12.056 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin ky)) (- (log (sin th)) (log (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin ky)) (log (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 7 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 8 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 9 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin ky) (sin ky)) (sin ky)) (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 10 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin ky) (sin ky)) (sin ky)) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 11 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))) (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 12 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 13 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (sqrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 14 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.056 * * * * [progress]: [ 15 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin ky)) (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))) (* (sqrt (sin ky)) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin ky)) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (* (sqrt (sin ky)) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))))>
12.056 * * * * [progress]: [ 17 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.056 * * * * [progress]: [ 18 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))) (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 19 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 20 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 21 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) 1)) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))))>
12.057 * * * * [progress]: [ 22 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))) (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 23 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 24 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ (sqrt (sin th)) 1)) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))))>
12.057 * * * * [progress]: [ 25 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))) (/ (sin th) (cbrt (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 26 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ 1 (sqrt (hypot (sin kx) (sin ky))))) (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 27 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (/ 1 1)) (/ (sin th) (hypot (sin kx) (sin ky)))))>
12.057 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) 1) (/ (sin th) (hypot (sin kx) (sin ky)))))>
12.057 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin ky) (sin th)) (/ 1 (hypot (sin kx) (sin ky)))))>
12.057 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sin ky)) (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin ky)) (* (sqrt (sin ky)) (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.057 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))>
12.057 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin kx) (sin ky))) (sin ky)))>
12.058 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (log1p (expm1 (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (expm1 (log1p (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (pow (/ (sin th) (hypot (sin kx) (sin ky))) 1)))>
12.058 * * * * [progress]: [ 39 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (exp (- (log (sin th)) (log (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 40 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 41 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (log (exp (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 42 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (cbrt (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 43 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 44 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 45 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 46 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (- (sin th)) (- (hypot (sin kx) (sin ky))))))>
12.058 * * * * [progress]: [ 47 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 49 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (cbrt (sin th)) (hypot (sin kx) (sin ky))))))>
12.058 * * * * [progress]: [ 50 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))))))>
12.058 * * * * [progress]: [ 51 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))))>
12.059 * * * * [progress]: [ 52 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ (sqrt (sin th)) 1) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))))))>
12.059 * * * * [progress]: [ 53 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))))))>
12.059 * * * * [progress]: [ 54 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))))))>
12.059 * * * * [progress]: [ 55 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (/ 1 1) (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.059 * * * * [progress]: [ 56 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* 1 (/ (sin th) (hypot (sin kx) (sin ky))))))>
12.059 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (sin th) (/ 1 (hypot (sin kx) (sin ky))))))>
12.059 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin th)))))>
12.059 * * * * [progress]: [ 59 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (cbrt (hypot (sin kx) (sin ky))))))>
12.059 * * * * [progress]: [ 60 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (/ (sin th) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))))>
12.059 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (/ (sin th) 1) (hypot (sin kx) (sin ky)))))>
12.059 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin th))))))>
12.059 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sqrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin th))))))>
12.059 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ 1 (/ (hypot (sin kx) (sin ky)) (sin th)))))>
12.059 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))>
12.059 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (log1p (expm1 (hypot (sin kx) (sin ky)))))))>
12.059 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (expm1 (log1p (hypot (sin kx) (sin ky)))))))>
12.059 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))>
12.059 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (pow (hypot (sin kx) (sin ky)) 1))))>
12.060 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (exp (log (hypot (sin kx) (sin ky)))))))>
12.060 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (log (exp (hypot (sin kx) (sin ky)))))))>
12.060 * * * * [progress]: [ 72 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (* (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky)))))))>
12.060 * * * * [progress]: [ 73 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))>
12.060 * * * * [progress]: [ 74 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (* (sqrt (hypot (sin kx) (sin ky))) (sqrt (hypot (sin kx) (sin ky)))))))>
12.060 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (* 1 (hypot (sin kx) (sin ky))))))>
12.060 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (posit16->real (real->posit16 (hypot (sin kx) (sin ky)))))))>
12.060 * * * * [progress]: [ 77 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
12.060 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
12.060 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
12.060 * * * * [progress]: [ 80 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* 1/6 (* ky th))))>
12.060 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))))>
12.060 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))))>
12.060 * * * * [progress]: [ 83 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (- (+ (* 1/12 (* (pow kx 2) ky)) ky) (* 1/6 (pow ky 3))))))>
12.060 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
12.060 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
12.062 * [simplify]: Simplifying:
  (expm1 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log1p (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
  (+ (log (sin ky)) (- (log (sin th)) (log (hypot (sin kx) (sin ky)))))
  (+ (log (sin ky)) (log (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (exp (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (sin ky)) (sin ky)) (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (sin ky)) (sin ky)) (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))))
  (cbrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (* (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (sqrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (sqrt (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin ky)) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin ky)) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin ky)) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin ky)) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))))
  (* (sin ky) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))))
  (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (* (cbrt (sin th)) (cbrt (sin th))) 1))
  (* (sin ky) (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))))
  (* (sin ky) (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ (sqrt (sin th)) 1))
  (* (sin ky) (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))))
  (* (sin ky) (/ 1 (sqrt (hypot (sin kx) (sin ky)))))
  (* (sin ky) (/ 1 1))
  (* (sin ky) 1)
  (* (sin ky) (sin th))
  (* (cbrt (sin ky)) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (sqrt (sin ky)) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (sin ky) (sin th))
  (real->posit16 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (sin th) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin th) (hypot (sin kx) (sin ky))))
  (- (log (sin th)) (log (hypot (sin kx) (sin ky))))
  (log (/ (sin th) (hypot (sin kx) (sin ky))))
  (exp (/ (sin th) (hypot (sin kx) (sin ky))))
  (/ (* (* (sin th) (sin th)) (sin th)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (- (sin th))
  (- (hypot (sin kx) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) 1)
  (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))
  (/ (sqrt (sin th)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) 1)
  (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin th) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 1)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin th))
  (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) 1)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sin th))
  (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (real->posit16 (hypot (sin kx) (sin ky)))
  (* 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 (* ky th))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (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)))
12.064 * * [simplify]: iteration 0: 124 enodes
12.097 * * [simplify]: iteration 1: 279 enodes
12.180 * * [simplify]: iteration 2: 893 enodes
12.821 * * [simplify]: iteration 3: 2686 enodes
13.441 * * [simplify]: iteration complete: 5001 enodes
13.441 * * [simplify]: Extracting #0: cost 76 inf + 0
13.443 * * [simplify]: Extracting #1: cost 676 inf + 1
13.447 * * [simplify]: Extracting #2: cost 1359 inf + 2514
13.467 * * [simplify]: Extracting #3: cost 1045 inf + 103521
13.522 * * [simplify]: Extracting #4: cost 245 inf + 387332
13.636 * * [simplify]: Extracting #5: cost 3 inf + 484868
13.787 * * [simplify]: Extracting #6: cost 0 inf + 486063
13.886 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (log1p (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))
  (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (exp (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))
  (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))
  (* (cbrt (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))) (cbrt (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))
  (cbrt (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))
  (sqrt (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (sqrt (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (* (sqrt (sin ky)) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin ky)) (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sin ky)))
  (* (sqrt (/ (sin th) (hypot (sin kx) (sin ky)))) (sin ky))
  (* (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))) (sin ky))
  (/ (* (* (cbrt (sin th)) (cbrt (sin th))) (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (* (* (cbrt (sin th)) (cbrt (sin th))) (sin ky))
  (/ (* (sqrt (sin th)) (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (* (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (sin th)))
  (* (sqrt (sin th)) (sin ky))
  (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (sin ky)
  (sin ky)
  (* (sin ky) (sin th))
  (/ (* (cbrt (sin ky)) (sin th)) (hypot (sin kx) (sin ky)))
  (* (sqrt (sin ky)) (/ (sin th) (hypot (sin kx) (sin ky))))
  (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))
  (* (sin ky) (sin th))
  (real->posit16 (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))
  (expm1 (/ (sin th) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin th) (hypot (sin kx) (sin ky))))
  (log (/ (sin th) (hypot (sin kx) (sin ky))))
  (log (/ (sin th) (hypot (sin kx) (sin ky))))
  (exp (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin th) (hypot (sin kx) (sin ky)))))
  (cbrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (sqrt (/ (sin th) (hypot (sin kx) (sin ky))))
  (- (sin th))
  (- (hypot (sin kx) (sin ky)))
  (* (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (cbrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin th)))
  (/ (cbrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (/ (cbrt (sin th)) (hypot (sin kx) (sin ky)))
  (/ (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (sqrt (sin th))
  (/ (sqrt (sin th)) (hypot (sin kx) (sin ky)))
  (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sin th) (cbrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  1
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin th))
  (/ (/ (sin th) (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (sin th)
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin th)))
  (/ (hypot (sin kx) (sin ky)) (sin th))
  (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky))))
  (expm1 (hypot (sin kx) (sin ky)))
  (log1p (hypot (sin kx) (sin ky)))
  (fma (sin ky) (sin ky) (* (sin kx) (sin kx)))
  (log (hypot (sin kx) (sin ky)))
  (exp (hypot (sin kx) (sin ky)))
  (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))
  (cbrt (hypot (sin kx) (sin ky)))
  (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (real->posit16 (hypot (sin kx) (sin ky)))
  (* kx (* (* ky th) 1/6))
  (* (* (sin ky) (sin th)) (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))))
  (* (* (sin ky) (sin th)) (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))))
  (* (* ky th) 1/6)
  (* (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))) (sin th))
  (* (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))) (sin th))
  (fma ky (- (* kx (* 1/12 kx)) (* (* ky ky) 1/6)) ky)
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
13.894 * * * [progress]: adding candidates to table
14.398 * * [progress]: iteration 4 / 4
14.398 * * * [progress]: picking best candidate
14.516 * * * * [pick]: Picked  #<alt (λ (kx ky 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)))))>
14.516 * * * [progress]: localizing error
14.555 * * * [progress]: generating rewritten candidates
14.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
14.579 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
14.595 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
14.609 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
14.636 * * * [progress]: generating series expansions
14.636 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
14.636 * [backup-simplify]: Simplify (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) into (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3)
14.636 * [approximate]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in (ky kx th) around 0
14.636 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in th
14.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in th
14.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in th
14.636 * [taylor]: Taking taylor expansion of 1/3 in th
14.636 * [backup-simplify]: Simplify 1/3 into 1/3
14.637 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in th
14.637 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
14.637 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
14.637 * [taylor]: Taking taylor expansion of (sin th) in th
14.637 * [taylor]: Taking taylor expansion of th in th
14.637 * [backup-simplify]: Simplify 0 into 0
14.637 * [backup-simplify]: Simplify 1 into 1
14.637 * [taylor]: Taking taylor expansion of (sin ky) in th
14.637 * [taylor]: Taking taylor expansion of ky in th
14.637 * [backup-simplify]: Simplify ky into ky
14.637 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.637 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.637 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
14.637 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.637 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
14.637 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
14.637 * [taylor]: Taking taylor expansion of (sin ky) in th
14.637 * [taylor]: Taking taylor expansion of ky in th
14.637 * [backup-simplify]: Simplify ky into ky
14.637 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.637 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.637 * [taylor]: Taking taylor expansion of (sin ky) in th
14.637 * [taylor]: Taking taylor expansion of ky in th
14.637 * [backup-simplify]: Simplify ky into ky
14.637 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.637 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.637 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
14.637 * [taylor]: Taking taylor expansion of (sin kx) in th
14.637 * [taylor]: Taking taylor expansion of kx in th
14.637 * [backup-simplify]: Simplify kx into kx
14.637 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.637 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.637 * [taylor]: Taking taylor expansion of (sin kx) in th
14.637 * [taylor]: Taking taylor expansion of kx in th
14.637 * [backup-simplify]: Simplify kx into kx
14.637 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.637 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.637 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.637 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.637 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.637 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.637 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.637 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.638 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.638 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.638 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.638 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.638 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.638 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.638 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.638 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.638 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
14.638 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
14.639 * [backup-simplify]: Simplify (+ 0) into 0
14.639 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.640 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.640 * [backup-simplify]: Simplify (+ 0 0) into 0
14.640 * [backup-simplify]: Simplify (+ 0) into 0
14.641 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.641 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.641 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.642 * [backup-simplify]: Simplify (+ 0 0) into 0
14.642 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.642 * [backup-simplify]: Simplify (+ 0) into 0
14.642 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.643 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.643 * [backup-simplify]: Simplify (+ 0 0) into 0
14.644 * [backup-simplify]: Simplify (+ 0) into 0
14.644 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.645 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.645 * [backup-simplify]: Simplify (+ 0 0) into 0
14.645 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.645 * [backup-simplify]: Simplify (+ 0 0) into 0
14.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
14.645 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.646 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.646 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.646 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
14.646 * [backup-simplify]: Simplify (+ 0) into 0
14.646 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.647 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.647 * [backup-simplify]: Simplify (+ 0 0) into 0
14.648 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
14.648 * [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))
14.648 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
14.649 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) into (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))
14.649 * [backup-simplify]: Simplify (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))) into (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th)))
14.650 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th)))) into (exp (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))))
14.650 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in kx
14.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in kx
14.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in kx
14.650 * [taylor]: Taking taylor expansion of 1/3 in kx
14.650 * [backup-simplify]: Simplify 1/3 into 1/3
14.650 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in kx
14.650 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
14.650 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
14.650 * [taylor]: Taking taylor expansion of (sin th) in kx
14.650 * [taylor]: Taking taylor expansion of th in kx
14.650 * [backup-simplify]: Simplify th into th
14.650 * [backup-simplify]: Simplify (sin th) into (sin th)
14.650 * [backup-simplify]: Simplify (cos th) into (cos th)
14.650 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.650 * [taylor]: Taking taylor expansion of ky in kx
14.650 * [backup-simplify]: Simplify ky into ky
14.650 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.650 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.650 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
14.650 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.650 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
14.650 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
14.650 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.650 * [taylor]: Taking taylor expansion of ky in kx
14.650 * [backup-simplify]: Simplify ky into ky
14.650 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.650 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.650 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.650 * [taylor]: Taking taylor expansion of ky in kx
14.650 * [backup-simplify]: Simplify ky into ky
14.650 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.650 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.650 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
14.650 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.650 * [taylor]: Taking taylor expansion of kx in kx
14.650 * [backup-simplify]: Simplify 0 into 0
14.650 * [backup-simplify]: Simplify 1 into 1
14.650 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.650 * [taylor]: Taking taylor expansion of kx in kx
14.650 * [backup-simplify]: Simplify 0 into 0
14.650 * [backup-simplify]: Simplify 1 into 1
14.650 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.650 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.650 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.650 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.650 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.651 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.651 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.651 * [backup-simplify]: Simplify (* 0 0) into 0
14.651 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
14.651 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
14.651 * [backup-simplify]: Simplify (+ 0) into 0
14.652 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.652 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.653 * [backup-simplify]: Simplify (+ 0 0) into 0
14.653 * [backup-simplify]: Simplify (+ 0) into 0
14.653 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.654 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.654 * [backup-simplify]: Simplify (+ 0 0) into 0
14.655 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.657 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.657 * [backup-simplify]: Simplify (+ 0 0) into 0
14.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
14.657 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
14.657 * [backup-simplify]: Simplify (* (cos th) 0) into 0
14.657 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
14.658 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.658 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.658 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.658 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
14.658 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
14.658 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
14.658 * [backup-simplify]: Simplify (* 1/3 (log (sin th))) into (* 1/3 (log (sin th)))
14.658 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin th)))) into (pow (sin th) 1/3)
14.658 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in ky
14.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in ky
14.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in ky
14.658 * [taylor]: Taking taylor expansion of 1/3 in ky
14.658 * [backup-simplify]: Simplify 1/3 into 1/3
14.658 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in ky
14.658 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
14.658 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
14.658 * [taylor]: Taking taylor expansion of (sin th) in ky
14.658 * [taylor]: Taking taylor expansion of th in ky
14.658 * [backup-simplify]: Simplify th into th
14.659 * [backup-simplify]: Simplify (sin th) into (sin th)
14.659 * [backup-simplify]: Simplify (cos th) into (cos th)
14.659 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.659 * [taylor]: Taking taylor expansion of ky in ky
14.659 * [backup-simplify]: Simplify 0 into 0
14.659 * [backup-simplify]: Simplify 1 into 1
14.659 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
14.659 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.659 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
14.659 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.659 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.659 * [taylor]: Taking taylor expansion of ky in ky
14.659 * [backup-simplify]: Simplify 0 into 0
14.659 * [backup-simplify]: Simplify 1 into 1
14.659 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.659 * [taylor]: Taking taylor expansion of ky in ky
14.659 * [backup-simplify]: Simplify 0 into 0
14.659 * [backup-simplify]: Simplify 1 into 1
14.659 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.659 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.659 * [taylor]: Taking taylor expansion of kx in ky
14.659 * [backup-simplify]: Simplify kx into kx
14.659 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.659 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.659 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.659 * [taylor]: Taking taylor expansion of kx in ky
14.659 * [backup-simplify]: Simplify kx into kx
14.660 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.660 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.660 * [backup-simplify]: Simplify (* 0 0) into 0
14.660 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.660 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.660 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.660 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.660 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.660 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.661 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.661 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
14.661 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.667 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.668 * [backup-simplify]: Simplify (+ 0) into 0
14.668 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.670 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.670 * [backup-simplify]: Simplify (+ 0 0) into 0
14.670 * [backup-simplify]: Simplify (+ 0) into 0
14.671 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.672 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.673 * [backup-simplify]: Simplify (+ 0 0) into 0
14.673 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.673 * [backup-simplify]: Simplify (+ 0 0) into 0
14.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.673 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
14.673 * [backup-simplify]: Simplify (* (cos th) 0) into 0
14.673 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
14.673 * [backup-simplify]: Simplify (* (sin th) 0) into 0
14.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.675 * [backup-simplify]: Simplify (+ 0) into 0
14.675 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
14.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.676 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
14.677 * [backup-simplify]: Simplify (+ 0 0) into 0
14.677 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
14.677 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
14.677 * [backup-simplify]: Simplify (log (/ (sin th) (sin kx))) into (log (/ (sin th) (sin kx)))
14.678 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
14.678 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) into (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))
14.678 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))
14.678 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in ky
14.678 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in ky
14.678 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in ky
14.678 * [taylor]: Taking taylor expansion of 1/3 in ky
14.678 * [backup-simplify]: Simplify 1/3 into 1/3
14.678 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in ky
14.678 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
14.678 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
14.678 * [taylor]: Taking taylor expansion of (sin th) in ky
14.678 * [taylor]: Taking taylor expansion of th in ky
14.678 * [backup-simplify]: Simplify th into th
14.678 * [backup-simplify]: Simplify (sin th) into (sin th)
14.679 * [backup-simplify]: Simplify (cos th) into (cos th)
14.679 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.679 * [taylor]: Taking taylor expansion of ky in ky
14.679 * [backup-simplify]: Simplify 0 into 0
14.679 * [backup-simplify]: Simplify 1 into 1
14.679 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
14.679 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
14.679 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
14.679 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.679 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.679 * [taylor]: Taking taylor expansion of ky in ky
14.679 * [backup-simplify]: Simplify 0 into 0
14.679 * [backup-simplify]: Simplify 1 into 1
14.679 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.679 * [taylor]: Taking taylor expansion of ky in ky
14.679 * [backup-simplify]: Simplify 0 into 0
14.679 * [backup-simplify]: Simplify 1 into 1
14.679 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.679 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.679 * [taylor]: Taking taylor expansion of kx in ky
14.679 * [backup-simplify]: Simplify kx into kx
14.679 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.679 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.679 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.679 * [taylor]: Taking taylor expansion of kx in ky
14.679 * [backup-simplify]: Simplify kx into kx
14.680 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.680 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.680 * [backup-simplify]: Simplify (* 0 0) into 0
14.680 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.680 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.680 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.680 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.680 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.680 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.681 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.681 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
14.681 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.683 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.683 * [backup-simplify]: Simplify (+ 0) into 0
14.684 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.685 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.686 * [backup-simplify]: Simplify (+ 0 0) into 0
14.686 * [backup-simplify]: Simplify (+ 0) into 0
14.687 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.688 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.688 * [backup-simplify]: Simplify (+ 0 0) into 0
14.688 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.689 * [backup-simplify]: Simplify (+ 0 0) into 0
14.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.689 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
14.689 * [backup-simplify]: Simplify (* (cos th) 0) into 0
14.689 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
14.689 * [backup-simplify]: Simplify (* (sin th) 0) into 0
14.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.690 * [backup-simplify]: Simplify (+ 0) into 0
14.691 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
14.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.692 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
14.692 * [backup-simplify]: Simplify (+ 0 0) into 0
14.693 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
14.693 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
14.693 * [backup-simplify]: Simplify (log (/ (sin th) (sin kx))) into (log (/ (sin th) (sin kx)))
14.694 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
14.694 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) into (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))
14.694 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))
14.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) in kx
14.694 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) in kx
14.694 * [taylor]: Taking taylor expansion of 1/3 in kx
14.694 * [backup-simplify]: Simplify 1/3 into 1/3
14.694 * [taylor]: Taking taylor expansion of (+ (log (/ (sin th) (sin kx))) (log ky)) in kx
14.694 * [taylor]: Taking taylor expansion of (log (/ (sin th) (sin kx))) in kx
14.694 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
14.694 * [taylor]: Taking taylor expansion of (sin th) in kx
14.695 * [taylor]: Taking taylor expansion of th in kx
14.695 * [backup-simplify]: Simplify th into th
14.695 * [backup-simplify]: Simplify (sin th) into (sin th)
14.695 * [backup-simplify]: Simplify (cos th) into (cos th)
14.695 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.695 * [taylor]: Taking taylor expansion of kx in kx
14.695 * [backup-simplify]: Simplify 0 into 0
14.695 * [backup-simplify]: Simplify 1 into 1
14.695 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
14.695 * [backup-simplify]: Simplify (* (cos th) 0) into 0
14.695 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
14.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.696 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
14.696 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
14.696 * [taylor]: Taking taylor expansion of (log ky) in kx
14.696 * [taylor]: Taking taylor expansion of ky in kx
14.696 * [backup-simplify]: Simplify ky into ky
14.696 * [backup-simplify]: Simplify (log ky) into (log ky)
14.697 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) (log (sin th))) into (- (log (sin th)) (log kx))
14.697 * [backup-simplify]: Simplify (+ (- (log (sin th)) (log kx)) (log ky)) into (- (+ (log ky) (log (sin th))) (log kx))
14.697 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) into (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))
14.697 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))
14.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
14.698 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
14.698 * [taylor]: Taking taylor expansion of 1/3 in th
14.698 * [backup-simplify]: Simplify 1/3 into 1/3
14.698 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
14.698 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
14.698 * [taylor]: Taking taylor expansion of (log ky) in th
14.698 * [taylor]: Taking taylor expansion of ky in th
14.698 * [backup-simplify]: Simplify ky into ky
14.698 * [backup-simplify]: Simplify (log ky) into (log ky)
14.698 * [taylor]: Taking taylor expansion of (log (sin th)) in th
14.698 * [taylor]: Taking taylor expansion of (sin th) in th
14.698 * [taylor]: Taking taylor expansion of th in th
14.698 * [backup-simplify]: Simplify 0 into 0
14.698 * [backup-simplify]: Simplify 1 into 1
14.699 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.699 * [backup-simplify]: Simplify (log 1) into 0
14.699 * [taylor]: Taking taylor expansion of (log kx) in th
14.699 * [taylor]: Taking taylor expansion of kx in th
14.699 * [backup-simplify]: Simplify kx into kx
14.699 * [backup-simplify]: Simplify (log kx) into (log kx)
14.700 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
14.700 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
14.700 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
14.700 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
14.700 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
14.700 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
14.701 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
14.702 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.704 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
14.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.706 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
14.706 * [backup-simplify]: Simplify (+ 0 0) into 0
14.707 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
14.707 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
14.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin th) (sin kx)) 1)))) 1) into 0
14.708 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
14.709 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ (sin th) (sin kx))) (log ky)))) into 0
14.710 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.710 * [taylor]: Taking taylor expansion of 0 in kx
14.710 * [backup-simplify]: Simplify 0 into 0
14.710 * [taylor]: Taking taylor expansion of 0 in th
14.710 * [backup-simplify]: Simplify 0 into 0
14.710 * [backup-simplify]: Simplify 0 into 0
14.711 * [backup-simplify]: Simplify (+ 0) into 0
14.711 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
14.712 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.713 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
14.713 * [backup-simplify]: Simplify (+ 0 0) into 0
14.714 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
14.716 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin th) 1)))) 1) into 0
14.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
14.717 * [backup-simplify]: Simplify (+ 0 0) into 0
14.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx)))) into 0
14.718 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.718 * [taylor]: Taking taylor expansion of 0 in th
14.718 * [backup-simplify]: Simplify 0 into 0
14.718 * [backup-simplify]: Simplify 0 into 0
14.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
14.720 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
14.722 * [backup-simplify]: Simplify (+ 0 0) into 0
14.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow kx 1)))) 1) into 0
14.723 * [backup-simplify]: Simplify (- 0) into 0
14.724 * [backup-simplify]: Simplify (+ 0 0) into 0
14.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log th)) (log kx)))) into 0
14.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.725 * [backup-simplify]: Simplify 0 into 0
14.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.729 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.730 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.732 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.733 * [backup-simplify]: Simplify (+ 0 0) into 0
14.734 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
14.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.736 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.736 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.737 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.737 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.737 * [backup-simplify]: Simplify (+ 0 0) into 0
14.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.738 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.739 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.739 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.739 * [backup-simplify]: Simplify (+ 0 0) into 0
14.740 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
14.740 * [backup-simplify]: Simplify (+ 1 0) into 1
14.740 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
14.741 * [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)))))
14.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin th) (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))))) 1)) (pow (/ (sin th) (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
14.742 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
14.743 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ (sin th) (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
14.743 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ (sin th) (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 (/ (sin th) (sin kx))) (log ky))))))
14.743 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))))) in kx
14.743 * [taylor]: Taking taylor expansion of -1 in kx
14.743 * [backup-simplify]: Simplify -1 into -1
14.743 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))) in kx
14.743 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
14.744 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
14.744 * [taylor]: Taking taylor expansion of 1/6 in kx
14.744 * [backup-simplify]: Simplify 1/6 into 1/6
14.744 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
14.744 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
14.744 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.744 * [taylor]: Taking taylor expansion of kx in kx
14.744 * [backup-simplify]: Simplify 0 into 0
14.744 * [backup-simplify]: Simplify 1 into 1
14.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.744 * [backup-simplify]: Simplify (* 1 1) into 1
14.745 * [backup-simplify]: Simplify (/ 1 1) into 1
14.745 * [taylor]: Taking taylor expansion of 1/18 in kx
14.745 * [backup-simplify]: Simplify 1/18 into 1/18
14.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) in kx
14.745 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) in kx
14.745 * [taylor]: Taking taylor expansion of 1/3 in kx
14.745 * [backup-simplify]: Simplify 1/3 into 1/3
14.745 * [taylor]: Taking taylor expansion of (+ (log (/ (sin th) (sin kx))) (log ky)) in kx
14.745 * [taylor]: Taking taylor expansion of (log (/ (sin th) (sin kx))) in kx
14.745 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
14.745 * [taylor]: Taking taylor expansion of (sin th) in kx
14.745 * [taylor]: Taking taylor expansion of th in kx
14.745 * [backup-simplify]: Simplify th into th
14.745 * [backup-simplify]: Simplify (sin th) into (sin th)
14.745 * [backup-simplify]: Simplify (cos th) into (cos th)
14.745 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.745 * [taylor]: Taking taylor expansion of kx in kx
14.745 * [backup-simplify]: Simplify 0 into 0
14.745 * [backup-simplify]: Simplify 1 into 1
14.745 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
14.745 * [backup-simplify]: Simplify (* (cos th) 0) into 0
14.745 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
14.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.745 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
14.746 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
14.746 * [taylor]: Taking taylor expansion of (log ky) in kx
14.746 * [taylor]: Taking taylor expansion of ky in kx
14.746 * [backup-simplify]: Simplify ky into ky
14.746 * [backup-simplify]: Simplify (log ky) into (log ky)
14.746 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) (log (sin th))) into (- (log (sin th)) (log kx))
14.746 * [backup-simplify]: Simplify (+ (- (log (sin th)) (log kx)) (log ky)) into (- (+ (log ky) (log (sin th))) (log kx))
14.746 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) into (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))
14.746 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))
14.746 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
14.747 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.747 * [backup-simplify]: Simplify (+ 0) into 0
14.747 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
14.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.748 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
14.748 * [backup-simplify]: Simplify (+ 0 0) into 0
14.749 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
14.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin th) 1)))) 1) into 0
14.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
14.751 * [backup-simplify]: Simplify (+ 0 0) into 0
14.751 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx)))) into 0
14.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.752 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
14.752 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.753 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
14.753 * [backup-simplify]: Simplify (+ 0 0) into 0
14.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
14.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin th) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin th))) 1)) (pow (sin th) 1)))) 2) into 1/6
14.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
14.757 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.757 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx))))) into 1/18
14.758 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
14.759 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.761 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
14.761 * [backup-simplify]: Simplify (+ 0 0) into 0
14.762 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.765 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
14.767 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
14.768 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
14.768 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
14.769 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) into 0
14.769 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) into (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
14.770 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))))
14.770 * [taylor]: Taking taylor expansion of (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) in th
14.770 * [taylor]: Taking taylor expansion of (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) in th
14.770 * [taylor]: Taking taylor expansion of 13/108 in th
14.770 * [backup-simplify]: Simplify 13/108 into 13/108
14.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
14.770 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
14.770 * [taylor]: Taking taylor expansion of 1/3 in th
14.770 * [backup-simplify]: Simplify 1/3 into 1/3
14.771 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
14.771 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
14.771 * [taylor]: Taking taylor expansion of (log ky) in th
14.771 * [taylor]: Taking taylor expansion of ky in th
14.771 * [backup-simplify]: Simplify ky into ky
14.771 * [backup-simplify]: Simplify (log ky) into (log ky)
14.771 * [taylor]: Taking taylor expansion of (log (sin th)) in th
14.771 * [taylor]: Taking taylor expansion of (sin th) in th
14.771 * [taylor]: Taking taylor expansion of th in th
14.771 * [backup-simplify]: Simplify 0 into 0
14.771 * [backup-simplify]: Simplify 1 into 1
14.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.772 * [backup-simplify]: Simplify (log 1) into 0
14.772 * [taylor]: Taking taylor expansion of (log kx) in th
14.772 * [taylor]: Taking taylor expansion of kx in th
14.772 * [backup-simplify]: Simplify kx into kx
14.772 * [backup-simplify]: Simplify (log kx) into (log kx)
14.773 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
14.773 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
14.773 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
14.773 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
14.773 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
14.773 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
14.773 * [backup-simplify]: Simplify (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
14.774 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))))
14.774 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))))
14.774 * [taylor]: Taking taylor expansion of 0 in th
14.774 * [backup-simplify]: Simplify 0 into 0
14.774 * [backup-simplify]: Simplify 0 into 0
14.775 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.775 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
14.776 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.777 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
14.777 * [backup-simplify]: Simplify (+ 0 0) into 0
14.779 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
14.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin th) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin th))) 1)) (pow (sin th) 1)))) 2) into 1/6
14.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
14.783 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
14.784 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx))))) into 1/18
14.785 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
14.785 * [taylor]: Taking taylor expansion of (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) in th
14.785 * [taylor]: Taking taylor expansion of 1/18 in th
14.785 * [backup-simplify]: Simplify 1/18 into 1/18
14.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
14.785 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
14.785 * [taylor]: Taking taylor expansion of 1/3 in th
14.785 * [backup-simplify]: Simplify 1/3 into 1/3
14.785 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
14.785 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
14.785 * [taylor]: Taking taylor expansion of (log ky) in th
14.785 * [taylor]: Taking taylor expansion of ky in th
14.785 * [backup-simplify]: Simplify ky into ky
14.785 * [backup-simplify]: Simplify (log ky) into (log ky)
14.785 * [taylor]: Taking taylor expansion of (log (sin th)) in th
14.785 * [taylor]: Taking taylor expansion of (sin th) in th
14.785 * [taylor]: Taking taylor expansion of th in th
14.785 * [backup-simplify]: Simplify 0 into 0
14.785 * [backup-simplify]: Simplify 1 into 1
14.785 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.786 * [backup-simplify]: Simplify (log 1) into 0
14.786 * [taylor]: Taking taylor expansion of (log kx) in th
14.786 * [taylor]: Taking taylor expansion of kx in th
14.786 * [backup-simplify]: Simplify kx into kx
14.786 * [backup-simplify]: Simplify (log kx) into (log kx)
14.786 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
14.786 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
14.786 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
14.786 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
14.786 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
14.786 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
14.786 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
14.787 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
14.787 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (pow (* 1 (* kx 1)) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) (pow (* 1 (* 1 ky)) 2)) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))
14.787 * [backup-simplify]: Simplify (cbrt (* (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) (sin (/ 1 th)))) into (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
14.787 * [approximate]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx th) around 0
14.787 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in th
14.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in th
14.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in th
14.787 * [taylor]: Taking taylor expansion of 1/3 in th
14.787 * [backup-simplify]: Simplify 1/3 into 1/3
14.787 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in th
14.787 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
14.787 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
14.787 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
14.788 * [taylor]: Taking taylor expansion of (/ 1 th) in th
14.788 * [taylor]: Taking taylor expansion of th in th
14.788 * [backup-simplify]: Simplify 0 into 0
14.788 * [backup-simplify]: Simplify 1 into 1
14.788 * [backup-simplify]: Simplify (/ 1 1) into 1
14.788 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.788 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.788 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.788 * [taylor]: Taking taylor expansion of ky in th
14.788 * [backup-simplify]: Simplify ky into ky
14.788 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.788 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.788 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.788 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
14.788 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.788 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
14.788 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
14.788 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.788 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.788 * [taylor]: Taking taylor expansion of ky in th
14.788 * [backup-simplify]: Simplify ky into ky
14.788 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.788 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.788 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.788 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.788 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.788 * [taylor]: Taking taylor expansion of ky in th
14.788 * [backup-simplify]: Simplify ky into ky
14.788 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.789 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.789 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.789 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
14.789 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
14.789 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
14.789 * [taylor]: Taking taylor expansion of kx in th
14.789 * [backup-simplify]: Simplify kx into kx
14.789 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.789 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.789 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.789 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
14.789 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
14.789 * [taylor]: Taking taylor expansion of kx in th
14.789 * [backup-simplify]: Simplify kx into kx
14.789 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.789 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.789 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.789 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.789 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.789 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.789 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.789 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.789 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.789 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.789 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.789 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.789 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.789 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.790 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.790 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.790 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.790 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.790 * [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)))
14.790 * [backup-simplify]: Simplify (+ 0) into 0
14.791 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.791 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.792 * [backup-simplify]: Simplify (+ 0 0) into 0
14.792 * [backup-simplify]: Simplify (+ 0) into 0
14.792 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.793 * [backup-simplify]: Simplify (+ 0 0) into 0
14.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.794 * [backup-simplify]: Simplify (+ 0) into 0
14.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.800 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.800 * [backup-simplify]: Simplify (+ 0 0) into 0
14.801 * [backup-simplify]: Simplify (+ 0) into 0
14.801 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.802 * [backup-simplify]: Simplify (+ 0 0) into 0
14.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.803 * [backup-simplify]: Simplify (+ 0 0) into 0
14.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.803 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.803 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.803 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.803 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.803 * [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)))))
14.804 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
14.804 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
14.804 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
14.804 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
14.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
14.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
14.804 * [taylor]: Taking taylor expansion of 1/3 in kx
14.804 * [backup-simplify]: Simplify 1/3 into 1/3
14.804 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
14.804 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
14.804 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
14.804 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
14.804 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
14.805 * [taylor]: Taking taylor expansion of th in kx
14.805 * [backup-simplify]: Simplify th into th
14.805 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.805 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.805 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.805 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.805 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.805 * [taylor]: Taking taylor expansion of ky in kx
14.805 * [backup-simplify]: Simplify ky into ky
14.805 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.805 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.805 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.805 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
14.805 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.805 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
14.805 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
14.805 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.805 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.805 * [taylor]: Taking taylor expansion of ky in kx
14.805 * [backup-simplify]: Simplify ky into ky
14.805 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.805 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.805 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.805 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.805 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.805 * [taylor]: Taking taylor expansion of ky in kx
14.805 * [backup-simplify]: Simplify ky into ky
14.805 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.805 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.805 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.805 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
14.805 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.805 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.805 * [taylor]: Taking taylor expansion of kx in kx
14.805 * [backup-simplify]: Simplify 0 into 0
14.805 * [backup-simplify]: Simplify 1 into 1
14.806 * [backup-simplify]: Simplify (/ 1 1) into 1
14.806 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.806 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.806 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.806 * [taylor]: Taking taylor expansion of kx in kx
14.806 * [backup-simplify]: Simplify 0 into 0
14.806 * [backup-simplify]: Simplify 1 into 1
14.806 * [backup-simplify]: Simplify (/ 1 1) into 1
14.806 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.806 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.806 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.806 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.806 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.807 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.807 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.807 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.807 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.807 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.807 * [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)))
14.807 * [backup-simplify]: Simplify (+ 0) into 0
14.808 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.808 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.809 * [backup-simplify]: Simplify (+ 0 0) into 0
14.809 * [backup-simplify]: Simplify (+ 0) into 0
14.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.811 * [backup-simplify]: Simplify (+ 0 0) into 0
14.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.811 * [backup-simplify]: Simplify (+ 0 0) into 0
14.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.812 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
14.812 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
14.812 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
14.812 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.812 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.812 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.812 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.812 * [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)))))
14.812 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
14.813 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
14.813 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
14.813 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
14.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
14.813 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
14.813 * [taylor]: Taking taylor expansion of 1/3 in ky
14.813 * [backup-simplify]: Simplify 1/3 into 1/3
14.813 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
14.813 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
14.813 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
14.813 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
14.813 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
14.813 * [taylor]: Taking taylor expansion of th in ky
14.813 * [backup-simplify]: Simplify th into th
14.813 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.813 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.813 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.813 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.813 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.813 * [taylor]: Taking taylor expansion of ky in ky
14.813 * [backup-simplify]: Simplify 0 into 0
14.813 * [backup-simplify]: Simplify 1 into 1
14.814 * [backup-simplify]: Simplify (/ 1 1) into 1
14.814 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.814 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
14.814 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.814 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
14.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.814 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.814 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.814 * [taylor]: Taking taylor expansion of ky in ky
14.814 * [backup-simplify]: Simplify 0 into 0
14.814 * [backup-simplify]: Simplify 1 into 1
14.814 * [backup-simplify]: Simplify (/ 1 1) into 1
14.814 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.814 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.814 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.814 * [taylor]: Taking taylor expansion of ky in ky
14.814 * [backup-simplify]: Simplify 0 into 0
14.814 * [backup-simplify]: Simplify 1 into 1
14.815 * [backup-simplify]: Simplify (/ 1 1) into 1
14.815 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.815 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.815 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.815 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.815 * [taylor]: Taking taylor expansion of kx in ky
14.815 * [backup-simplify]: Simplify kx into kx
14.815 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.815 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.815 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.815 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.815 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.815 * [taylor]: Taking taylor expansion of kx in ky
14.815 * [backup-simplify]: Simplify kx into kx
14.815 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.815 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.815 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.815 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.815 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.815 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.815 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.816 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.816 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.816 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.816 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.816 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.816 * [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)))
14.816 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.816 * [backup-simplify]: Simplify (+ 0) into 0
14.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.818 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.818 * [backup-simplify]: Simplify (+ 0 0) into 0
14.818 * [backup-simplify]: Simplify (+ 0) into 0
14.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.820 * [backup-simplify]: Simplify (+ 0 0) into 0
14.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.820 * [backup-simplify]: Simplify (+ 0 0) into 0
14.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.820 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
14.820 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
14.820 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
14.820 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.821 * [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)))))
14.821 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
14.821 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
14.821 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
14.821 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
14.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
14.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
14.821 * [taylor]: Taking taylor expansion of 1/3 in ky
14.822 * [backup-simplify]: Simplify 1/3 into 1/3
14.822 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
14.822 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
14.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
14.822 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
14.822 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
14.822 * [taylor]: Taking taylor expansion of th in ky
14.822 * [backup-simplify]: Simplify th into th
14.822 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.822 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.822 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.822 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.822 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.822 * [taylor]: Taking taylor expansion of ky in ky
14.822 * [backup-simplify]: Simplify 0 into 0
14.822 * [backup-simplify]: Simplify 1 into 1
14.822 * [backup-simplify]: Simplify (/ 1 1) into 1
14.822 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.822 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
14.822 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
14.822 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
14.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.822 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.822 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.822 * [taylor]: Taking taylor expansion of ky in ky
14.822 * [backup-simplify]: Simplify 0 into 0
14.822 * [backup-simplify]: Simplify 1 into 1
14.823 * [backup-simplify]: Simplify (/ 1 1) into 1
14.823 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.823 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.823 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.823 * [taylor]: Taking taylor expansion of ky in ky
14.823 * [backup-simplify]: Simplify 0 into 0
14.823 * [backup-simplify]: Simplify 1 into 1
14.823 * [backup-simplify]: Simplify (/ 1 1) into 1
14.823 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.823 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.823 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.823 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.823 * [taylor]: Taking taylor expansion of kx in ky
14.823 * [backup-simplify]: Simplify kx into kx
14.823 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.823 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.823 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.823 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.823 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.823 * [taylor]: Taking taylor expansion of kx in ky
14.823 * [backup-simplify]: Simplify kx into kx
14.823 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.823 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.823 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.824 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.824 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.824 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.824 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.824 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.824 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.824 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.824 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.824 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.824 * [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)))
14.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.825 * [backup-simplify]: Simplify (+ 0) into 0
14.825 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.826 * [backup-simplify]: Simplify (+ 0 0) into 0
14.826 * [backup-simplify]: Simplify (+ 0) into 0
14.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.827 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.827 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.828 * [backup-simplify]: Simplify (+ 0 0) into 0
14.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.828 * [backup-simplify]: Simplify (+ 0 0) into 0
14.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.828 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
14.828 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
14.828 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
14.828 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.829 * [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)))))
14.829 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
14.829 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
14.830 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
14.830 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) in kx
14.830 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) in kx
14.830 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) in kx
14.830 * [taylor]: Taking taylor expansion of 1/3 in kx
14.830 * [backup-simplify]: Simplify 1/3 into 1/3
14.830 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in kx
14.830 * [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
14.830 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
14.830 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
14.830 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
14.830 * [taylor]: Taking taylor expansion of th in kx
14.830 * [backup-simplify]: Simplify th into th
14.830 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.830 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.830 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.830 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.830 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.830 * [taylor]: Taking taylor expansion of ky in kx
14.830 * [backup-simplify]: Simplify ky into ky
14.830 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.830 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.830 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
14.830 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
14.830 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
14.830 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
14.830 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.830 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.830 * [taylor]: Taking taylor expansion of kx in kx
14.830 * [backup-simplify]: Simplify 0 into 0
14.830 * [backup-simplify]: Simplify 1 into 1
14.831 * [backup-simplify]: Simplify (/ 1 1) into 1
14.831 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.831 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
14.831 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.831 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.831 * [taylor]: Taking taylor expansion of ky in kx
14.831 * [backup-simplify]: Simplify ky into ky
14.831 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.831 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.831 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.831 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.831 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.831 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.831 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.831 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.831 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.831 * [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)))
14.832 * [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))))
14.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.832 * [backup-simplify]: Simplify (+ 0) into 0
14.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.833 * [backup-simplify]: Simplify (+ 0 0) into 0
14.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.834 * [backup-simplify]: Simplify (+ 0 0) into 0
14.834 * [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
14.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.834 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
14.835 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
14.835 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
14.835 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.835 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.835 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.835 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.835 * [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)))))
14.836 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
14.836 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
14.837 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
14.837 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) in th
14.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) in th
14.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) in th
14.837 * [taylor]: Taking taylor expansion of 1/3 in th
14.837 * [backup-simplify]: Simplify 1/3 into 1/3
14.837 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in th
14.837 * [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
14.837 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
14.837 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
14.837 * [taylor]: Taking taylor expansion of (/ 1 th) in th
14.837 * [taylor]: Taking taylor expansion of th in th
14.837 * [backup-simplify]: Simplify 0 into 0
14.837 * [backup-simplify]: Simplify 1 into 1
14.838 * [backup-simplify]: Simplify (/ 1 1) into 1
14.838 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.838 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.838 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.838 * [taylor]: Taking taylor expansion of ky in th
14.838 * [backup-simplify]: Simplify ky into ky
14.838 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.838 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.838 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.838 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
14.838 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
14.838 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
14.838 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
14.839 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
14.839 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
14.839 * [taylor]: Taking taylor expansion of kx in th
14.839 * [backup-simplify]: Simplify kx into kx
14.839 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.839 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.839 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.839 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.839 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.839 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.839 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
14.839 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.839 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.839 * [taylor]: Taking taylor expansion of ky in th
14.839 * [backup-simplify]: Simplify ky into ky
14.839 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.839 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.839 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.839 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.840 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.840 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.840 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.840 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.840 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.841 * [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)))
14.841 * [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))))
14.841 * [backup-simplify]: Simplify (+ 0) into 0
14.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.844 * [backup-simplify]: Simplify (+ 0 0) into 0
14.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.844 * [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
14.846 * [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 (+ 0 0) into 0
14.848 * [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
14.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.849 * [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)))))
14.850 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
14.850 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
14.851 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
14.851 * [backup-simplify]: Simplify (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
14.852 * [backup-simplify]: Simplify (+ 0) into 0
14.853 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
14.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
14.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.854 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
14.855 * [backup-simplify]: Simplify (+ 0 0) into 0
14.855 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.856 * [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
14.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
14.858 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
14.860 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.860 * [taylor]: Taking taylor expansion of 0 in kx
14.860 * [backup-simplify]: Simplify 0 into 0
14.860 * [taylor]: Taking taylor expansion of 0 in th
14.860 * [backup-simplify]: Simplify 0 into 0
14.860 * [backup-simplify]: Simplify 0 into 0
14.860 * [backup-simplify]: Simplify (+ 0) into 0
14.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.862 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.863 * [backup-simplify]: Simplify (+ 0 0) into 0
14.863 * [backup-simplify]: Simplify (+ 0) into 0
14.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
14.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
14.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.865 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
14.866 * [backup-simplify]: Simplify (+ 0 0) into 0
14.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.867 * [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
14.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
14.869 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
14.871 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.871 * [taylor]: Taking taylor expansion of 0 in th
14.871 * [backup-simplify]: Simplify 0 into 0
14.871 * [backup-simplify]: Simplify 0 into 0
14.871 * [backup-simplify]: Simplify (+ 0) into 0
14.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.874 * [backup-simplify]: Simplify (+ 0 0) into 0
14.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.875 * [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
14.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
14.877 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
14.878 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.878 * [backup-simplify]: Simplify 0 into 0
14.880 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
14.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.881 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.882 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
14.882 * [backup-simplify]: Simplify (+ 0 0) into 0
14.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.884 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.886 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.887 * [backup-simplify]: Simplify (+ 0 0) into 0
14.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.889 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.890 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.891 * [backup-simplify]: Simplify (+ 0 0) into 0
14.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.891 * [backup-simplify]: Simplify (+ 0 0) into 0
14.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.894 * [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
14.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 2) into 0
14.898 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))))) into 0
14.900 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.900 * [taylor]: Taking taylor expansion of 0 in kx
14.900 * [backup-simplify]: Simplify 0 into 0
14.900 * [taylor]: Taking taylor expansion of 0 in th
14.900 * [backup-simplify]: Simplify 0 into 0
14.900 * [backup-simplify]: Simplify 0 into 0
14.900 * [taylor]: Taking taylor expansion of 0 in th
14.900 * [backup-simplify]: Simplify 0 into 0
14.900 * [backup-simplify]: Simplify 0 into 0
14.901 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.903 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.905 * [backup-simplify]: Simplify (+ 0 0) into 0
14.905 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.905 * [backup-simplify]: Simplify (+ 0 0) into 0
14.907 * [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
14.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.909 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.910 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.911 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.911 * [backup-simplify]: Simplify (+ 0 0) into 0
14.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.913 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
14.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.914 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.915 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
14.915 * [backup-simplify]: Simplify (+ 0 0) into 0
14.916 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.916 * [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
14.919 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 2) into 0
14.921 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))))) into 0
14.923 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.923 * [taylor]: Taking taylor expansion of 0 in th
14.923 * [backup-simplify]: Simplify 0 into 0
14.923 * [backup-simplify]: Simplify 0 into 0
14.923 * [backup-simplify]: Simplify (pow (* (* (sin (/ 1 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
14.924 * [backup-simplify]: Simplify (cbrt (* (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) (sin (/ 1 (- th))))) into (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
14.924 * [approximate]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx th) around 0
14.924 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in th
14.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in th
14.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in th
14.924 * [taylor]: Taking taylor expansion of 1/3 in th
14.924 * [backup-simplify]: Simplify 1/3 into 1/3
14.924 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in th
14.924 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
14.924 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
14.924 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
14.924 * [taylor]: Taking taylor expansion of (/ -1 th) in th
14.924 * [taylor]: Taking taylor expansion of -1 in th
14.924 * [backup-simplify]: Simplify -1 into -1
14.924 * [taylor]: Taking taylor expansion of th in th
14.924 * [backup-simplify]: Simplify 0 into 0
14.924 * [backup-simplify]: Simplify 1 into 1
14.925 * [backup-simplify]: Simplify (/ -1 1) into -1
14.925 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.925 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.925 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.925 * [taylor]: Taking taylor expansion of -1 in th
14.925 * [backup-simplify]: Simplify -1 into -1
14.925 * [taylor]: Taking taylor expansion of ky in th
14.925 * [backup-simplify]: Simplify ky into ky
14.925 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.925 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.925 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.925 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
14.926 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.926 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
14.926 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
14.926 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.926 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.926 * [taylor]: Taking taylor expansion of -1 in th
14.926 * [backup-simplify]: Simplify -1 into -1
14.926 * [taylor]: Taking taylor expansion of ky in th
14.926 * [backup-simplify]: Simplify ky into ky
14.926 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.926 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.926 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.926 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.926 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.926 * [taylor]: Taking taylor expansion of -1 in th
14.926 * [backup-simplify]: Simplify -1 into -1
14.926 * [taylor]: Taking taylor expansion of ky in th
14.926 * [backup-simplify]: Simplify ky into ky
14.927 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.927 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.927 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.927 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
14.927 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
14.927 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
14.927 * [taylor]: Taking taylor expansion of -1 in th
14.927 * [backup-simplify]: Simplify -1 into -1
14.927 * [taylor]: Taking taylor expansion of kx in th
14.927 * [backup-simplify]: Simplify kx into kx
14.927 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.927 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.927 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.927 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
14.927 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
14.927 * [taylor]: Taking taylor expansion of -1 in th
14.927 * [backup-simplify]: Simplify -1 into -1
14.927 * [taylor]: Taking taylor expansion of kx in th
14.927 * [backup-simplify]: Simplify kx into kx
14.927 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.927 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.927 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.928 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.928 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.928 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.928 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.928 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.928 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.928 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.928 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.928 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.928 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.928 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.928 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.929 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.929 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.929 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.929 * [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)))
14.930 * [backup-simplify]: Simplify (+ 0) into 0
14.930 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.931 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.932 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.932 * [backup-simplify]: Simplify (+ 0 0) into 0
14.933 * [backup-simplify]: Simplify (+ 0) into 0
14.933 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.933 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.934 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.935 * [backup-simplify]: Simplify (+ 0 0) into 0
14.935 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.936 * [backup-simplify]: Simplify (+ 0) into 0
14.936 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.937 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.944 * [backup-simplify]: Simplify (+ 0 0) into 0
14.944 * [backup-simplify]: Simplify (+ 0) into 0
14.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.945 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.946 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.947 * [backup-simplify]: Simplify (+ 0 0) into 0
14.947 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.947 * [backup-simplify]: Simplify (+ 0 0) into 0
14.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
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 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
14.949 * [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)))))
14.949 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
14.950 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
14.950 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
14.950 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
14.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
14.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
14.950 * [taylor]: Taking taylor expansion of 1/3 in kx
14.951 * [backup-simplify]: Simplify 1/3 into 1/3
14.951 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
14.951 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
14.951 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
14.951 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
14.951 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
14.951 * [taylor]: Taking taylor expansion of -1 in kx
14.951 * [backup-simplify]: Simplify -1 into -1
14.951 * [taylor]: Taking taylor expansion of th in kx
14.951 * [backup-simplify]: Simplify th into th
14.951 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.951 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.951 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.951 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.951 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.951 * [taylor]: Taking taylor expansion of -1 in kx
14.951 * [backup-simplify]: Simplify -1 into -1
14.951 * [taylor]: Taking taylor expansion of ky in kx
14.951 * [backup-simplify]: Simplify ky into ky
14.951 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.951 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.951 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.951 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
14.952 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.952 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
14.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
14.952 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.952 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.952 * [taylor]: Taking taylor expansion of -1 in kx
14.952 * [backup-simplify]: Simplify -1 into -1
14.952 * [taylor]: Taking taylor expansion of ky in kx
14.952 * [backup-simplify]: Simplify ky into ky
14.952 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.952 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.952 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.952 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.952 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.952 * [taylor]: Taking taylor expansion of -1 in kx
14.952 * [backup-simplify]: Simplify -1 into -1
14.952 * [taylor]: Taking taylor expansion of ky in kx
14.952 * [backup-simplify]: Simplify ky into ky
14.952 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.953 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.953 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.953 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
14.953 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.953 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.953 * [taylor]: Taking taylor expansion of -1 in kx
14.953 * [backup-simplify]: Simplify -1 into -1
14.953 * [taylor]: Taking taylor expansion of kx in kx
14.953 * [backup-simplify]: Simplify 0 into 0
14.953 * [backup-simplify]: Simplify 1 into 1
14.954 * [backup-simplify]: Simplify (/ -1 1) into -1
14.954 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.954 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.954 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.954 * [taylor]: Taking taylor expansion of -1 in kx
14.954 * [backup-simplify]: Simplify -1 into -1
14.954 * [taylor]: Taking taylor expansion of kx in kx
14.954 * [backup-simplify]: Simplify 0 into 0
14.954 * [backup-simplify]: Simplify 1 into 1
14.954 * [backup-simplify]: Simplify (/ -1 1) into -1
14.954 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.955 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.955 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.955 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.955 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.955 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.955 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.955 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.955 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.956 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.956 * [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)))
14.957 * [backup-simplify]: Simplify (+ 0) into 0
14.957 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.957 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.959 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.959 * [backup-simplify]: Simplify (+ 0 0) into 0
14.959 * [backup-simplify]: Simplify (+ 0) into 0
14.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.960 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.961 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.962 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.962 * [backup-simplify]: Simplify (+ 0 0) into 0
14.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.963 * [backup-simplify]: Simplify (+ 0 0) into 0
14.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.963 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
14.963 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
14.963 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
14.964 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.964 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.964 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.964 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
14.964 * [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)))))
14.965 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
14.965 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
14.966 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
14.966 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
14.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
14.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
14.966 * [taylor]: Taking taylor expansion of 1/3 in ky
14.966 * [backup-simplify]: Simplify 1/3 into 1/3
14.966 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
14.966 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
14.966 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
14.966 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
14.966 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
14.966 * [taylor]: Taking taylor expansion of -1 in ky
14.966 * [backup-simplify]: Simplify -1 into -1
14.966 * [taylor]: Taking taylor expansion of th in ky
14.966 * [backup-simplify]: Simplify th into th
14.966 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.966 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.966 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.966 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.966 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.966 * [taylor]: Taking taylor expansion of -1 in ky
14.966 * [backup-simplify]: Simplify -1 into -1
14.966 * [taylor]: Taking taylor expansion of ky in ky
14.966 * [backup-simplify]: Simplify 0 into 0
14.966 * [backup-simplify]: Simplify 1 into 1
14.967 * [backup-simplify]: Simplify (/ -1 1) into -1
14.967 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.967 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
14.967 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.967 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
14.967 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.967 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.967 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.967 * [taylor]: Taking taylor expansion of -1 in ky
14.967 * [backup-simplify]: Simplify -1 into -1
14.967 * [taylor]: Taking taylor expansion of ky in ky
14.968 * [backup-simplify]: Simplify 0 into 0
14.968 * [backup-simplify]: Simplify 1 into 1
14.968 * [backup-simplify]: Simplify (/ -1 1) into -1
14.968 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.968 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.968 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.968 * [taylor]: Taking taylor expansion of -1 in ky
14.968 * [backup-simplify]: Simplify -1 into -1
14.968 * [taylor]: Taking taylor expansion of ky in ky
14.968 * [backup-simplify]: Simplify 0 into 0
14.968 * [backup-simplify]: Simplify 1 into 1
14.969 * [backup-simplify]: Simplify (/ -1 1) into -1
14.969 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.969 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.969 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.969 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.969 * [taylor]: Taking taylor expansion of -1 in ky
14.969 * [backup-simplify]: Simplify -1 into -1
14.969 * [taylor]: Taking taylor expansion of kx in ky
14.969 * [backup-simplify]: Simplify kx into kx
14.969 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.969 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.969 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.969 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.969 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.969 * [taylor]: Taking taylor expansion of -1 in ky
14.969 * [backup-simplify]: Simplify -1 into -1
14.969 * [taylor]: Taking taylor expansion of kx in ky
14.969 * [backup-simplify]: Simplify kx into kx
14.969 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.970 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.970 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.970 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.970 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.970 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.970 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.970 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.970 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.970 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.970 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.971 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.971 * [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)))
14.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.972 * [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
14.974 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.974 * [backup-simplify]: Simplify (+ 0 0) into 0
14.974 * [backup-simplify]: Simplify (+ 0) into 0
14.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.975 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.976 * [backup-simplify]: Simplify (+ 0 0) into 0
14.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.977 * [backup-simplify]: Simplify (+ 0 0) into 0
14.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.977 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
14.977 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
14.977 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
14.977 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
14.977 * [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)))))
14.978 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
14.978 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
14.978 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
14.978 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
14.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
14.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
14.978 * [taylor]: Taking taylor expansion of 1/3 in ky
14.978 * [backup-simplify]: Simplify 1/3 into 1/3
14.978 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
14.978 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
14.978 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
14.978 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
14.978 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
14.978 * [taylor]: Taking taylor expansion of -1 in ky
14.978 * [backup-simplify]: Simplify -1 into -1
14.978 * [taylor]: Taking taylor expansion of th in ky
14.978 * [backup-simplify]: Simplify th into th
14.978 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.979 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.979 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
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
14.979 * [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 (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
14.979 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
14.979 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
14.979 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in 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 ky)) in ky
14.980 * [taylor]: Taking taylor expansion of (/ -1 ky) 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 ky in ky
14.980 * [backup-simplify]: Simplify 0 into 0
14.980 * [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
14.980 * [backup-simplify]: Simplify kx into kx
14.980 * [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
14.981 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.981 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.981 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.981 * [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)))
14.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.982 * [backup-simplify]: Simplify (+ 0) into 0
14.982 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.982 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.983 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.983 * [backup-simplify]: Simplify (+ 0 0) 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
14.984 * [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
14.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.985 * [backup-simplify]: Simplify (+ 0 0) into 0
14.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.985 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
14.986 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
14.986 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
14.986 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
14.986 * [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)))))
14.986 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
14.986 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
14.987 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
14.987 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) in kx
14.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) in kx
14.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) in kx
14.987 * [taylor]: Taking taylor expansion of 1/3 in kx
14.987 * [backup-simplify]: Simplify 1/3 into 1/3
14.987 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in kx
14.987 * [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
14.987 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
14.987 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
14.987 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
14.987 * [taylor]: Taking taylor expansion of -1 in kx
14.987 * [backup-simplify]: Simplify -1 into -1
14.987 * [taylor]: Taking taylor expansion of th in kx
14.987 * [backup-simplify]: Simplify th into th
14.987 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.987 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.987 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.987 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.987 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.987 * [taylor]: Taking taylor expansion of -1 in kx
14.987 * [backup-simplify]: Simplify -1 into -1
14.987 * [taylor]: Taking taylor expansion of ky in kx
14.987 * [backup-simplify]: Simplify ky into ky
14.987 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.987 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.987 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
14.987 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
14.987 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
14.987 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
14.987 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.987 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.987 * [taylor]: Taking taylor expansion of -1 in kx
14.987 * [backup-simplify]: Simplify -1 into -1
14.987 * [taylor]: Taking taylor expansion of kx in kx
14.987 * [backup-simplify]: Simplify 0 into 0
14.987 * [backup-simplify]: Simplify 1 into 1
14.988 * [backup-simplify]: Simplify (/ -1 1) into -1
14.988 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.988 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
14.988 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.988 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.988 * [taylor]: Taking taylor expansion of -1 in kx
14.988 * [backup-simplify]: Simplify -1 into -1
14.988 * [taylor]: Taking taylor expansion of ky in kx
14.988 * [backup-simplify]: Simplify ky into ky
14.988 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.988 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.988 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.988 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.988 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.988 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.988 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.988 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.989 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.989 * [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)))
14.989 * [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))))
14.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.989 * [backup-simplify]: Simplify (+ 0) into 0
14.990 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.990 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.991 * [backup-simplify]: Simplify (+ 0 0) into 0
14.991 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.991 * [backup-simplify]: Simplify (+ 0 0) into 0
14.991 * [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
14.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.992 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
14.992 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
14.992 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
14.992 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.992 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.992 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.992 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
14.992 * [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)))))
14.993 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
14.993 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
14.993 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
14.993 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) in th
14.993 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) in th
14.993 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) in th
14.993 * [taylor]: Taking taylor expansion of 1/3 in th
14.993 * [backup-simplify]: Simplify 1/3 into 1/3
14.993 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in th
14.993 * [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
14.993 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
14.993 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
14.993 * [taylor]: Taking taylor expansion of (/ -1 th) in th
14.993 * [taylor]: Taking taylor expansion of -1 in th
14.993 * [backup-simplify]: Simplify -1 into -1
14.993 * [taylor]: Taking taylor expansion of th in th
14.993 * [backup-simplify]: Simplify 0 into 0
14.993 * [backup-simplify]: Simplify 1 into 1
14.994 * [backup-simplify]: Simplify (/ -1 1) into -1
14.994 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.994 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.994 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.994 * [taylor]: Taking taylor expansion of -1 in th
14.994 * [backup-simplify]: Simplify -1 into -1
14.994 * [taylor]: Taking taylor expansion of ky in th
14.994 * [backup-simplify]: Simplify ky into ky
14.994 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.994 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.994 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.994 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
14.994 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
14.994 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
14.994 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
14.994 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
14.994 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
14.994 * [taylor]: Taking taylor expansion of -1 in th
14.994 * [backup-simplify]: Simplify -1 into -1
14.994 * [taylor]: Taking taylor expansion of kx in th
14.994 * [backup-simplify]: Simplify kx into kx
14.994 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.994 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.994 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.994 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.994 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.994 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.994 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
14.994 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.994 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.994 * [taylor]: Taking taylor expansion of -1 in th
14.994 * [backup-simplify]: Simplify -1 into -1
14.994 * [taylor]: Taking taylor expansion of ky in th
14.994 * [backup-simplify]: Simplify ky into ky
14.994 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.995 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.995 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.995 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.995 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.995 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.995 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.995 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.995 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.995 * [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))))
14.996 * [backup-simplify]: Simplify (+ 0) into 0
14.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.996 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.997 * [backup-simplify]: Simplify (+ 0 0) into 0
14.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.997 * [backup-simplify]: Simplify (+ 0) into 0
14.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.998 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.999 * [backup-simplify]: Simplify (+ 0 0) into 0
14.999 * [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 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.000 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.000 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.000 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.000 * [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)))))
15.001 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.001 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.001 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.001 * [backup-simplify]: Simplify (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.002 * [backup-simplify]: Simplify (+ 0) into 0
15.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.002 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.003 * [backup-simplify]: Simplify (+ 0 0) into 0
15.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.004 * [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
15.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.005 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.006 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.006 * [taylor]: Taking taylor expansion of 0 in kx
15.006 * [backup-simplify]: Simplify 0 into 0
15.006 * [taylor]: Taking taylor expansion of 0 in th
15.006 * [backup-simplify]: Simplify 0 into 0
15.006 * [backup-simplify]: Simplify 0 into 0
15.006 * [backup-simplify]: Simplify (+ 0) into 0
15.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.007 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.008 * [backup-simplify]: Simplify (+ 0 0) into 0
15.008 * [backup-simplify]: Simplify (+ 0) into 0
15.008 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.008 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.009 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.009 * [backup-simplify]: Simplify (+ 0 0) into 0
15.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.010 * [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
15.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.011 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.012 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.012 * [taylor]: Taking taylor expansion of 0 in th
15.012 * [backup-simplify]: Simplify 0 into 0
15.012 * [backup-simplify]: Simplify 0 into 0
15.012 * [backup-simplify]: Simplify (+ 0) into 0
15.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.013 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.013 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.014 * [backup-simplify]: Simplify (+ 0 0) into 0
15.014 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.014 * [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
15.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.015 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.016 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.016 * [backup-simplify]: Simplify 0 into 0
15.017 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.017 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.018 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.018 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.018 * [backup-simplify]: Simplify (+ 0 0) into 0
15.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.019 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.020 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.021 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.021 * [backup-simplify]: Simplify (+ 0 0) into 0
15.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.022 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.023 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.023 * [backup-simplify]: Simplify (+ 0 0) into 0
15.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.024 * [backup-simplify]: Simplify (+ 0 0) into 0
15.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.026 * [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
15.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 2) into 0
15.028 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))))) into 0
15.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.029 * [taylor]: Taking taylor expansion of 0 in kx
15.029 * [backup-simplify]: Simplify 0 into 0
15.029 * [taylor]: Taking taylor expansion of 0 in th
15.029 * [backup-simplify]: Simplify 0 into 0
15.029 * [backup-simplify]: Simplify 0 into 0
15.029 * [taylor]: Taking taylor expansion of 0 in th
15.029 * [backup-simplify]: Simplify 0 into 0
15.030 * [backup-simplify]: Simplify 0 into 0
15.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.030 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.031 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.031 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.032 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.032 * [backup-simplify]: Simplify (+ 0 0) into 0
15.032 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.033 * [backup-simplify]: Simplify (+ 0 0) into 0
15.034 * [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)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.035 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.036 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.036 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.036 * [backup-simplify]: Simplify (+ 0 0) into 0
15.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.037 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.037 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.038 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.039 * [backup-simplify]: Simplify (+ 0 0) into 0
15.039 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.039 * [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
15.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 2) into 0
15.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))))) into 0
15.043 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.043 * [taylor]: Taking taylor expansion of 0 in th
15.043 * [backup-simplify]: Simplify 0 into 0
15.043 * [backup-simplify]: Simplify 0 into 0
15.043 * [backup-simplify]: Simplify (pow (* (* (sin (/ -1 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
15.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
15.043 * [backup-simplify]: Simplify (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) into (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3)
15.043 * [approximate]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in (ky kx th) around 0
15.044 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in th
15.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in th
15.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in th
15.044 * [taylor]: Taking taylor expansion of 1/3 in th
15.044 * [backup-simplify]: Simplify 1/3 into 1/3
15.044 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in th
15.044 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
15.044 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
15.044 * [taylor]: Taking taylor expansion of (sin th) in th
15.044 * [taylor]: Taking taylor expansion of th in th
15.044 * [backup-simplify]: Simplify 0 into 0
15.044 * [backup-simplify]: Simplify 1 into 1
15.044 * [taylor]: Taking taylor expansion of (sin ky) in th
15.044 * [taylor]: Taking taylor expansion of ky in th
15.044 * [backup-simplify]: Simplify ky into ky
15.044 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.044 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.044 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
15.044 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.044 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
15.044 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.044 * [taylor]: Taking taylor expansion of (sin ky) in th
15.044 * [taylor]: Taking taylor expansion of ky in th
15.044 * [backup-simplify]: Simplify ky into ky
15.044 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.044 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.044 * [taylor]: Taking taylor expansion of (sin ky) in th
15.044 * [taylor]: Taking taylor expansion of ky in th
15.044 * [backup-simplify]: Simplify ky into ky
15.044 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.044 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.044 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.044 * [taylor]: Taking taylor expansion of (sin kx) in th
15.044 * [taylor]: Taking taylor expansion of kx in th
15.044 * [backup-simplify]: Simplify kx into kx
15.044 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.044 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.044 * [taylor]: Taking taylor expansion of (sin kx) in th
15.044 * [taylor]: Taking taylor expansion of kx in th
15.044 * [backup-simplify]: Simplify kx into kx
15.044 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.044 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.044 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.044 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.044 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.044 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.044 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.045 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.045 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.045 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.045 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.045 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.045 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.045 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.045 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.045 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.045 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.045 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.045 * [backup-simplify]: Simplify (+ 0) into 0
15.046 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.046 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.046 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.047 * [backup-simplify]: Simplify (+ 0 0) into 0
15.047 * [backup-simplify]: Simplify (+ 0) into 0
15.047 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.048 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.048 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.048 * [backup-simplify]: Simplify (+ 0 0) into 0
15.048 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.049 * [backup-simplify]: Simplify (+ 0) into 0
15.049 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.050 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.050 * [backup-simplify]: Simplify (+ 0 0) into 0
15.050 * [backup-simplify]: Simplify (+ 0) into 0
15.050 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.054 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.055 * [backup-simplify]: Simplify (+ 0 0) into 0
15.055 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.055 * [backup-simplify]: Simplify (+ 0 0) into 0
15.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.056 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.056 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.056 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.056 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
15.056 * [backup-simplify]: Simplify (+ 0) into 0
15.056 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.057 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.057 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.057 * [backup-simplify]: Simplify (+ 0 0) into 0
15.058 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
15.058 * [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))
15.058 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
15.059 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) into (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))
15.059 * [backup-simplify]: Simplify (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))) into (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th)))
15.059 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th)))) into (exp (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))))
15.059 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in kx
15.059 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in kx
15.060 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in kx
15.060 * [taylor]: Taking taylor expansion of 1/3 in kx
15.060 * [backup-simplify]: Simplify 1/3 into 1/3
15.060 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in kx
15.060 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
15.060 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
15.060 * [taylor]: Taking taylor expansion of (sin th) in kx
15.060 * [taylor]: Taking taylor expansion of th in kx
15.060 * [backup-simplify]: Simplify th into th
15.060 * [backup-simplify]: Simplify (sin th) into (sin th)
15.060 * [backup-simplify]: Simplify (cos th) into (cos th)
15.060 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.060 * [taylor]: Taking taylor expansion of ky in kx
15.060 * [backup-simplify]: Simplify ky into ky
15.060 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.060 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.060 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
15.060 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.060 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
15.060 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.060 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.060 * [taylor]: Taking taylor expansion of ky in kx
15.060 * [backup-simplify]: Simplify ky into ky
15.060 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.060 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.060 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.060 * [taylor]: Taking taylor expansion of ky in kx
15.060 * [backup-simplify]: Simplify ky into ky
15.060 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.060 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.060 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.060 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.060 * [taylor]: Taking taylor expansion of kx in kx
15.060 * [backup-simplify]: Simplify 0 into 0
15.060 * [backup-simplify]: Simplify 1 into 1
15.060 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.060 * [taylor]: Taking taylor expansion of kx in kx
15.060 * [backup-simplify]: Simplify 0 into 0
15.060 * [backup-simplify]: Simplify 1 into 1
15.060 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.060 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.060 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.060 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.060 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.060 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.061 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.061 * [backup-simplify]: Simplify (* 0 0) into 0
15.061 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.061 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.061 * [backup-simplify]: Simplify (+ 0) into 0
15.062 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.062 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.063 * [backup-simplify]: Simplify (+ 0 0) into 0
15.063 * [backup-simplify]: Simplify (+ 0) into 0
15.063 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.064 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.064 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.064 * [backup-simplify]: Simplify (+ 0 0) into 0
15.064 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.065 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.065 * [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 th) 1) into (sin th)
15.066 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.066 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.066 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.066 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.066 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.066 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
15.066 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
15.066 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
15.066 * [backup-simplify]: Simplify (* 1/3 (log (sin th))) into (* 1/3 (log (sin th)))
15.066 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin th)))) into (pow (sin th) 1/3)
15.066 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in ky
15.066 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in ky
15.066 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in ky
15.066 * [taylor]: Taking taylor expansion of 1/3 in ky
15.066 * [backup-simplify]: Simplify 1/3 into 1/3
15.066 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in ky
15.066 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
15.067 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
15.067 * [taylor]: Taking taylor expansion of (sin th) in ky
15.067 * [taylor]: Taking taylor expansion of th in ky
15.067 * [backup-simplify]: Simplify th into th
15.067 * [backup-simplify]: Simplify (sin th) into (sin th)
15.067 * [backup-simplify]: Simplify (cos th) into (cos th)
15.067 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.067 * [taylor]: Taking taylor expansion of ky in ky
15.067 * [backup-simplify]: Simplify 0 into 0
15.067 * [backup-simplify]: Simplify 1 into 1
15.067 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.067 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.067 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.067 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.067 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.067 * [taylor]: Taking taylor expansion of ky in ky
15.067 * [backup-simplify]: Simplify 0 into 0
15.067 * [backup-simplify]: Simplify 1 into 1
15.067 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.067 * [taylor]: Taking taylor expansion of ky in ky
15.067 * [backup-simplify]: Simplify 0 into 0
15.067 * [backup-simplify]: Simplify 1 into 1
15.067 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.067 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.067 * [taylor]: Taking taylor expansion of kx in ky
15.067 * [backup-simplify]: Simplify kx into kx
15.067 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.067 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.067 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.067 * [taylor]: Taking taylor expansion of kx in ky
15.067 * [backup-simplify]: Simplify kx into kx
15.067 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.067 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.067 * [backup-simplify]: Simplify (* 0 0) into 0
15.068 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.068 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.068 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.068 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.068 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.068 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.068 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.068 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.068 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.069 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.070 * [backup-simplify]: Simplify (+ 0) into 0
15.070 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.071 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.071 * [backup-simplify]: Simplify (+ 0 0) into 0
15.072 * [backup-simplify]: Simplify (+ 0) into 0
15.072 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.073 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.074 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.074 * [backup-simplify]: Simplify (+ 0 0) into 0
15.074 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.074 * [backup-simplify]: Simplify (+ 0 0) into 0
15.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.075 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.075 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.075 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.075 * [backup-simplify]: Simplify (* (sin th) 0) into 0
15.076 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.076 * [backup-simplify]: Simplify (+ 0) into 0
15.077 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.078 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.079 * [backup-simplify]: Simplify (+ 0 0) into 0
15.079 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
15.079 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
15.079 * [backup-simplify]: Simplify (log (/ (sin th) (sin kx))) into (log (/ (sin th) (sin kx)))
15.080 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.080 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) into (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))
15.080 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))
15.080 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in ky
15.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in ky
15.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in ky
15.080 * [taylor]: Taking taylor expansion of 1/3 in ky
15.080 * [backup-simplify]: Simplify 1/3 into 1/3
15.080 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in ky
15.080 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
15.080 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
15.080 * [taylor]: Taking taylor expansion of (sin th) in ky
15.080 * [taylor]: Taking taylor expansion of th in ky
15.081 * [backup-simplify]: Simplify th into th
15.081 * [backup-simplify]: Simplify (sin th) into (sin th)
15.081 * [backup-simplify]: Simplify (cos th) into (cos th)
15.081 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.081 * [taylor]: Taking taylor expansion of ky in ky
15.081 * [backup-simplify]: Simplify 0 into 0
15.081 * [backup-simplify]: Simplify 1 into 1
15.081 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.081 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.081 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.081 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.081 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.081 * [taylor]: Taking taylor expansion of ky in ky
15.081 * [backup-simplify]: Simplify 0 into 0
15.081 * [backup-simplify]: Simplify 1 into 1
15.081 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.081 * [taylor]: Taking taylor expansion of ky in ky
15.081 * [backup-simplify]: Simplify 0 into 0
15.081 * [backup-simplify]: Simplify 1 into 1
15.081 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.081 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.081 * [taylor]: Taking taylor expansion of kx in ky
15.081 * [backup-simplify]: Simplify kx into kx
15.081 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.081 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.081 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.082 * [taylor]: Taking taylor expansion of kx in ky
15.082 * [backup-simplify]: Simplify kx into kx
15.082 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.082 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.082 * [backup-simplify]: Simplify (* 0 0) into 0
15.082 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.082 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.082 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.082 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.082 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.083 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.083 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.083 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.083 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.084 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.084 * [backup-simplify]: Simplify (+ 0) into 0
15.085 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.085 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.086 * [backup-simplify]: Simplify (+ 0 0) into 0
15.086 * [backup-simplify]: Simplify (+ 0) into 0
15.086 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.087 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.087 * [backup-simplify]: Simplify (+ 0 0) into 0
15.087 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.088 * [backup-simplify]: Simplify (+ 0 0) into 0
15.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.088 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.088 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.088 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.088 * [backup-simplify]: Simplify (* (sin th) 0) into 0
15.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.088 * [backup-simplify]: Simplify (+ 0) into 0
15.089 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.090 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.090 * [backup-simplify]: Simplify (+ 0 0) into 0
15.090 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
15.090 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
15.090 * [backup-simplify]: Simplify (log (/ (sin th) (sin kx))) into (log (/ (sin th) (sin kx)))
15.090 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.091 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) into (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))
15.091 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))
15.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) in kx
15.091 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) in kx
15.091 * [taylor]: Taking taylor expansion of 1/3 in kx
15.091 * [backup-simplify]: Simplify 1/3 into 1/3
15.091 * [taylor]: Taking taylor expansion of (+ (log (/ (sin th) (sin kx))) (log ky)) in kx
15.091 * [taylor]: Taking taylor expansion of (log (/ (sin th) (sin kx))) in kx
15.091 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
15.091 * [taylor]: Taking taylor expansion of (sin th) in kx
15.091 * [taylor]: Taking taylor expansion of th in kx
15.091 * [backup-simplify]: Simplify th into th
15.091 * [backup-simplify]: Simplify (sin th) into (sin th)
15.091 * [backup-simplify]: Simplify (cos th) into (cos th)
15.091 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.091 * [taylor]: Taking taylor expansion of kx in kx
15.091 * [backup-simplify]: Simplify 0 into 0
15.091 * [backup-simplify]: Simplify 1 into 1
15.091 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.091 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.091 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.092 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
15.092 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
15.092 * [taylor]: Taking taylor expansion of (log ky) in kx
15.092 * [taylor]: Taking taylor expansion of ky in kx
15.092 * [backup-simplify]: Simplify ky into ky
15.092 * [backup-simplify]: Simplify (log ky) into (log ky)
15.092 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) (log (sin th))) into (- (log (sin th)) (log kx))
15.092 * [backup-simplify]: Simplify (+ (- (log (sin th)) (log kx)) (log ky)) into (- (+ (log ky) (log (sin th))) (log kx))
15.092 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) into (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))
15.092 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))
15.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
15.092 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
15.092 * [taylor]: Taking taylor expansion of 1/3 in th
15.092 * [backup-simplify]: Simplify 1/3 into 1/3
15.092 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
15.092 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
15.092 * [taylor]: Taking taylor expansion of (log ky) in th
15.092 * [taylor]: Taking taylor expansion of ky in th
15.092 * [backup-simplify]: Simplify ky into ky
15.092 * [backup-simplify]: Simplify (log ky) into (log ky)
15.092 * [taylor]: Taking taylor expansion of (log (sin th)) in th
15.092 * [taylor]: Taking taylor expansion of (sin th) in th
15.093 * [taylor]: Taking taylor expansion of th in th
15.093 * [backup-simplify]: Simplify 0 into 0
15.093 * [backup-simplify]: Simplify 1 into 1
15.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.093 * [backup-simplify]: Simplify (log 1) into 0
15.093 * [taylor]: Taking taylor expansion of (log kx) in th
15.093 * [taylor]: Taking taylor expansion of kx in th
15.093 * [backup-simplify]: Simplify kx into kx
15.093 * [backup-simplify]: Simplify (log kx) into (log kx)
15.094 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
15.094 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
15.094 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
15.094 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
15.094 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
15.094 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.094 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.095 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.095 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
15.096 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.096 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
15.096 * [backup-simplify]: Simplify (+ 0 0) into 0
15.097 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
15.097 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
15.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin th) (sin kx)) 1)))) 1) into 0
15.098 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ (sin th) (sin kx))) (log ky)))) into 0
15.099 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.099 * [taylor]: Taking taylor expansion of 0 in kx
15.099 * [backup-simplify]: Simplify 0 into 0
15.099 * [taylor]: Taking taylor expansion of 0 in th
15.099 * [backup-simplify]: Simplify 0 into 0
15.099 * [backup-simplify]: Simplify 0 into 0
15.099 * [backup-simplify]: Simplify (+ 0) into 0
15.099 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.100 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.100 * [backup-simplify]: Simplify (+ 0 0) into 0
15.101 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
15.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin th) 1)))) 1) into 0
15.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.103 * [backup-simplify]: Simplify (+ 0 0) into 0
15.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx)))) into 0
15.104 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.104 * [taylor]: Taking taylor expansion of 0 in th
15.104 * [backup-simplify]: Simplify 0 into 0
15.104 * [backup-simplify]: Simplify 0 into 0
15.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.105 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.106 * [backup-simplify]: Simplify (+ 0 0) into 0
15.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow kx 1)))) 1) into 0
15.106 * [backup-simplify]: Simplify (- 0) into 0
15.107 * [backup-simplify]: Simplify (+ 0 0) into 0
15.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log th)) (log kx)))) into 0
15.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.108 * [backup-simplify]: Simplify 0 into 0
15.109 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.109 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.110 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.111 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.111 * [backup-simplify]: Simplify (+ 0 0) into 0
15.112 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
15.112 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.113 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.114 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.114 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.115 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.115 * [backup-simplify]: Simplify (+ 0 0) into 0
15.116 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.117 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.118 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.118 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.118 * [backup-simplify]: Simplify (+ 0 0) into 0
15.119 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.119 * [backup-simplify]: Simplify (+ 1 0) into 1
15.120 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
15.121 * [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)))))
15.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin th) (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))))) 1)) (pow (/ (sin th) (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
15.123 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.124 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ (sin th) (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
15.125 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ (sin th) (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 (/ (sin th) (sin kx))) (log ky))))))
15.125 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))))) in kx
15.125 * [taylor]: Taking taylor expansion of -1 in kx
15.125 * [backup-simplify]: Simplify -1 into -1
15.125 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))) in kx
15.125 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
15.125 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
15.125 * [taylor]: Taking taylor expansion of 1/6 in kx
15.125 * [backup-simplify]: Simplify 1/6 into 1/6
15.125 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.125 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.125 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.125 * [taylor]: Taking taylor expansion of kx in kx
15.125 * [backup-simplify]: Simplify 0 into 0
15.126 * [backup-simplify]: Simplify 1 into 1
15.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.127 * [backup-simplify]: Simplify (* 1 1) into 1
15.127 * [backup-simplify]: Simplify (/ 1 1) into 1
15.127 * [taylor]: Taking taylor expansion of 1/18 in kx
15.127 * [backup-simplify]: Simplify 1/18 into 1/18
15.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) in kx
15.127 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) in kx
15.127 * [taylor]: Taking taylor expansion of 1/3 in kx
15.127 * [backup-simplify]: Simplify 1/3 into 1/3
15.127 * [taylor]: Taking taylor expansion of (+ (log (/ (sin th) (sin kx))) (log ky)) in kx
15.127 * [taylor]: Taking taylor expansion of (log (/ (sin th) (sin kx))) in kx
15.127 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
15.127 * [taylor]: Taking taylor expansion of (sin th) in kx
15.127 * [taylor]: Taking taylor expansion of th in kx
15.127 * [backup-simplify]: Simplify th into th
15.128 * [backup-simplify]: Simplify (sin th) into (sin th)
15.128 * [backup-simplify]: Simplify (cos th) into (cos th)
15.128 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.128 * [taylor]: Taking taylor expansion of kx in kx
15.128 * [backup-simplify]: Simplify 0 into 0
15.128 * [backup-simplify]: Simplify 1 into 1
15.128 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.128 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.128 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.129 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
15.129 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
15.129 * [taylor]: Taking taylor expansion of (log ky) in kx
15.129 * [taylor]: Taking taylor expansion of ky in kx
15.129 * [backup-simplify]: Simplify ky into ky
15.129 * [backup-simplify]: Simplify (log ky) into (log ky)
15.129 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) (log (sin th))) into (- (log (sin th)) (log kx))
15.130 * [backup-simplify]: Simplify (+ (- (log (sin th)) (log kx)) (log ky)) into (- (+ (log ky) (log (sin th))) (log kx))
15.130 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) into (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))
15.130 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))
15.130 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
15.131 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.131 * [backup-simplify]: Simplify (+ 0) into 0
15.132 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.133 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.133 * [backup-simplify]: Simplify (+ 0 0) into 0
15.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
15.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin th) 1)))) 1) into 0
15.137 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.138 * [backup-simplify]: Simplify (+ 0 0) into 0
15.138 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx)))) into 0
15.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.140 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
15.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.141 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
15.142 * [backup-simplify]: Simplify (+ 0 0) into 0
15.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
15.146 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin th) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin th))) 1)) (pow (sin th) 1)))) 2) into 1/6
15.147 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.148 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.149 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx))))) into 1/18
15.150 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.153 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
15.154 * [backup-simplify]: Simplify (+ 0 0) into 0
15.155 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.157 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.160 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
15.160 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
15.161 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.162 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) into 0
15.162 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) into (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.163 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))))
15.163 * [taylor]: Taking taylor expansion of (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) in th
15.163 * [taylor]: Taking taylor expansion of (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) in th
15.163 * [taylor]: Taking taylor expansion of 13/108 in th
15.163 * [backup-simplify]: Simplify 13/108 into 13/108
15.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
15.163 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
15.163 * [taylor]: Taking taylor expansion of 1/3 in th
15.163 * [backup-simplify]: Simplify 1/3 into 1/3
15.163 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
15.163 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
15.163 * [taylor]: Taking taylor expansion of (log ky) in th
15.163 * [taylor]: Taking taylor expansion of ky in th
15.163 * [backup-simplify]: Simplify ky into ky
15.163 * [backup-simplify]: Simplify (log ky) into (log ky)
15.163 * [taylor]: Taking taylor expansion of (log (sin th)) in th
15.163 * [taylor]: Taking taylor expansion of (sin th) in th
15.163 * [taylor]: Taking taylor expansion of th in th
15.163 * [backup-simplify]: Simplify 0 into 0
15.163 * [backup-simplify]: Simplify 1 into 1
15.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.164 * [backup-simplify]: Simplify (log 1) into 0
15.164 * [taylor]: Taking taylor expansion of (log kx) in th
15.164 * [taylor]: Taking taylor expansion of kx in th
15.164 * [backup-simplify]: Simplify kx into kx
15.165 * [backup-simplify]: Simplify (log kx) into (log kx)
15.165 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
15.165 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
15.165 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
15.165 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
15.166 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
15.166 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.166 * [backup-simplify]: Simplify (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
15.166 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))))
15.166 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))))
15.166 * [taylor]: Taking taylor expansion of 0 in th
15.166 * [backup-simplify]: Simplify 0 into 0
15.167 * [backup-simplify]: Simplify 0 into 0
15.167 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.168 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
15.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.170 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
15.170 * [backup-simplify]: Simplify (+ 0 0) into 0
15.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
15.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin th) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin th))) 1)) (pow (sin th) 1)))) 2) into 1/6
15.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.182 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.183 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx))))) into 1/18
15.184 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.185 * [taylor]: Taking taylor expansion of (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) in th
15.185 * [taylor]: Taking taylor expansion of 1/18 in th
15.185 * [backup-simplify]: Simplify 1/18 into 1/18
15.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
15.185 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
15.185 * [taylor]: Taking taylor expansion of 1/3 in th
15.185 * [backup-simplify]: Simplify 1/3 into 1/3
15.185 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
15.185 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
15.185 * [taylor]: Taking taylor expansion of (log ky) in th
15.185 * [taylor]: Taking taylor expansion of ky in th
15.185 * [backup-simplify]: Simplify ky into ky
15.185 * [backup-simplify]: Simplify (log ky) into (log ky)
15.185 * [taylor]: Taking taylor expansion of (log (sin th)) in th
15.185 * [taylor]: Taking taylor expansion of (sin th) in th
15.185 * [taylor]: Taking taylor expansion of th in th
15.185 * [backup-simplify]: Simplify 0 into 0
15.185 * [backup-simplify]: Simplify 1 into 1
15.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.186 * [backup-simplify]: Simplify (log 1) into 0
15.186 * [taylor]: Taking taylor expansion of (log kx) in th
15.186 * [taylor]: Taking taylor expansion of kx in th
15.186 * [backup-simplify]: Simplify kx into kx
15.186 * [backup-simplify]: Simplify (log kx) into (log kx)
15.187 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
15.187 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
15.187 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
15.187 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
15.187 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
15.187 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.187 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
15.187 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
15.188 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (pow (* 1 (* kx 1)) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) (pow (* 1 (* 1 ky)) 2)) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))
15.189 * [backup-simplify]: Simplify (cbrt (* (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) (sin (/ 1 th)))) into (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
15.189 * [approximate]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx th) around 0
15.189 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in th
15.189 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in th
15.189 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in th
15.189 * [taylor]: Taking taylor expansion of 1/3 in th
15.189 * [backup-simplify]: Simplify 1/3 into 1/3
15.189 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in th
15.189 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
15.189 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
15.189 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.189 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.189 * [taylor]: Taking taylor expansion of th in th
15.189 * [backup-simplify]: Simplify 0 into 0
15.189 * [backup-simplify]: Simplify 1 into 1
15.190 * [backup-simplify]: Simplify (/ 1 1) into 1
15.190 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.190 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.190 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.190 * [taylor]: Taking taylor expansion of ky in th
15.190 * [backup-simplify]: Simplify ky into ky
15.190 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.190 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.190 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.190 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
15.190 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.190 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
15.190 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.190 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.190 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.190 * [taylor]: Taking taylor expansion of ky in th
15.190 * [backup-simplify]: Simplify ky into ky
15.190 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.190 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.190 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.190 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.190 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.191 * [taylor]: Taking taylor expansion of ky in th
15.191 * [backup-simplify]: Simplify ky into ky
15.191 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.191 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.191 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.191 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.191 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.191 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.191 * [taylor]: Taking taylor expansion of kx in th
15.191 * [backup-simplify]: Simplify kx into kx
15.191 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.191 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.191 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.191 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.191 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.191 * [taylor]: Taking taylor expansion of kx in th
15.191 * [backup-simplify]: Simplify kx into kx
15.191 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.191 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.191 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.191 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.191 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.191 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.191 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.191 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.191 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.191 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.191 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.192 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.192 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.192 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.192 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.192 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.192 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.192 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.192 * [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)))
15.193 * [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 (+ 0) into 0
15.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.196 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.196 * [backup-simplify]: Simplify (+ 0 0) into 0
15.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.196 * [backup-simplify]: Simplify (+ 0) into 0
15.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.198 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.198 * [backup-simplify]: Simplify (+ 0 0) into 0
15.198 * [backup-simplify]: Simplify (+ 0) into 0
15.198 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.199 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.199 * [backup-simplify]: Simplify (+ 0 0) into 0
15.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.200 * [backup-simplify]: Simplify (+ 0 0) into 0
15.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.200 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.200 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.201 * [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)))))
15.201 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.201 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.202 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.202 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
15.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
15.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
15.202 * [taylor]: Taking taylor expansion of 1/3 in kx
15.202 * [backup-simplify]: Simplify 1/3 into 1/3
15.202 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
15.202 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
15.202 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
15.202 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.202 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.202 * [taylor]: Taking taylor expansion of th in kx
15.202 * [backup-simplify]: Simplify th into th
15.202 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.202 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.202 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.202 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.202 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.202 * [taylor]: Taking taylor expansion of ky in kx
15.202 * [backup-simplify]: Simplify ky into ky
15.202 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.202 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.202 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.202 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
15.202 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.202 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
15.202 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.202 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.202 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.202 * [taylor]: Taking taylor expansion of ky in kx
15.202 * [backup-simplify]: Simplify ky into ky
15.202 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.202 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.202 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.202 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.202 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.202 * [taylor]: Taking taylor expansion of ky in kx
15.202 * [backup-simplify]: Simplify ky into ky
15.202 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.203 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.203 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.203 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.203 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.203 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.203 * [taylor]: Taking taylor expansion of kx in kx
15.203 * [backup-simplify]: Simplify 0 into 0
15.203 * [backup-simplify]: Simplify 1 into 1
15.203 * [backup-simplify]: Simplify (/ 1 1) into 1
15.203 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.203 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.203 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.203 * [taylor]: Taking taylor expansion of kx in kx
15.203 * [backup-simplify]: Simplify 0 into 0
15.203 * [backup-simplify]: Simplify 1 into 1
15.203 * [backup-simplify]: Simplify (/ 1 1) into 1
15.203 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.204 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.204 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.204 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.204 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.204 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.204 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.204 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.204 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.204 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.204 * [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)))
15.205 * [backup-simplify]: Simplify (+ 0) into 0
15.205 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.206 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.206 * [backup-simplify]: Simplify (+ 0 0) into 0
15.206 * [backup-simplify]: Simplify (+ 0) into 0
15.207 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.208 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.208 * [backup-simplify]: Simplify (+ 0 0) into 0
15.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.208 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.208 * [backup-simplify]: Simplify (+ 0 0) into 0
15.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.209 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.209 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.209 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.209 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.209 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.209 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.209 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.209 * [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)))))
15.210 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.210 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.210 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.210 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
15.210 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
15.210 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
15.210 * [taylor]: Taking taylor expansion of 1/3 in ky
15.210 * [backup-simplify]: Simplify 1/3 into 1/3
15.210 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
15.210 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
15.210 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
15.210 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.210 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.210 * [taylor]: Taking taylor expansion of th in ky
15.210 * [backup-simplify]: Simplify th into th
15.210 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.210 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.210 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.210 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.210 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.211 * [taylor]: Taking taylor expansion of ky in ky
15.211 * [backup-simplify]: Simplify 0 into 0
15.211 * [backup-simplify]: Simplify 1 into 1
15.211 * [backup-simplify]: Simplify (/ 1 1) into 1
15.211 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.211 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.211 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.211 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.211 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.211 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.211 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.211 * [taylor]: Taking taylor expansion of ky in ky
15.211 * [backup-simplify]: Simplify 0 into 0
15.211 * [backup-simplify]: Simplify 1 into 1
15.211 * [backup-simplify]: Simplify (/ 1 1) into 1
15.211 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.211 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.211 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.211 * [taylor]: Taking taylor expansion of ky in ky
15.212 * [backup-simplify]: Simplify 0 into 0
15.212 * [backup-simplify]: Simplify 1 into 1
15.212 * [backup-simplify]: Simplify (/ 1 1) into 1
15.212 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.212 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.212 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.212 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.212 * [taylor]: Taking taylor expansion of kx in ky
15.212 * [backup-simplify]: Simplify kx into kx
15.212 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.212 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.212 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.212 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.212 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.212 * [taylor]: Taking taylor expansion of kx in ky
15.212 * [backup-simplify]: Simplify kx into kx
15.212 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.212 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.212 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.212 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.212 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.212 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.212 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.212 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.213 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.213 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.213 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.213 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.213 * [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)))
15.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.213 * [backup-simplify]: Simplify (+ 0) into 0
15.214 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.215 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.215 * [backup-simplify]: Simplify (+ 0 0) into 0
15.215 * [backup-simplify]: Simplify (+ 0) into 0
15.215 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.216 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.216 * [backup-simplify]: Simplify (+ 0 0) into 0
15.217 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.217 * [backup-simplify]: Simplify (+ 0 0) into 0
15.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.217 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.217 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.217 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.217 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.218 * [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)))))
15.218 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.218 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.218 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.218 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
15.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
15.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
15.218 * [taylor]: Taking taylor expansion of 1/3 in ky
15.218 * [backup-simplify]: Simplify 1/3 into 1/3
15.218 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
15.219 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
15.219 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
15.219 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.219 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.219 * [taylor]: Taking taylor expansion of th in ky
15.219 * [backup-simplify]: Simplify th into th
15.219 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.219 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.219 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.219 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.219 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.219 * [taylor]: Taking taylor expansion of ky in ky
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [backup-simplify]: Simplify 1 into 1
15.219 * [backup-simplify]: Simplify (/ 1 1) into 1
15.219 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.219 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.219 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.219 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.219 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.219 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.219 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.219 * [taylor]: Taking taylor expansion of ky in ky
15.219 * [backup-simplify]: Simplify 0 into 0
15.219 * [backup-simplify]: Simplify 1 into 1
15.220 * [backup-simplify]: Simplify (/ 1 1) into 1
15.220 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.220 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.220 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.220 * [taylor]: Taking taylor expansion of ky in ky
15.220 * [backup-simplify]: Simplify 0 into 0
15.220 * [backup-simplify]: Simplify 1 into 1
15.220 * [backup-simplify]: Simplify (/ 1 1) into 1
15.220 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.220 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.220 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.220 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.220 * [taylor]: Taking taylor expansion of kx in ky
15.220 * [backup-simplify]: Simplify kx into kx
15.220 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.220 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.220 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.220 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.220 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.220 * [taylor]: Taking taylor expansion of kx in ky
15.220 * [backup-simplify]: Simplify kx into kx
15.220 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.220 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.220 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.220 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.221 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.221 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.221 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.221 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.221 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.221 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.221 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.221 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.221 * [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)))
15.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.222 * [backup-simplify]: Simplify (+ 0) into 0
15.222 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.223 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.223 * [backup-simplify]: Simplify (+ 0 0) into 0
15.223 * [backup-simplify]: Simplify (+ 0) into 0
15.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.225 * [backup-simplify]: Simplify (+ 0 0) into 0
15.225 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.225 * [backup-simplify]: Simplify (+ 0 0) into 0
15.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.225 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.225 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.225 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.226 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.226 * [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)))))
15.226 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.226 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.227 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.227 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) in kx
15.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) in kx
15.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) in kx
15.227 * [taylor]: Taking taylor expansion of 1/3 in kx
15.227 * [backup-simplify]: Simplify 1/3 into 1/3
15.227 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in kx
15.227 * [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
15.227 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
15.227 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.227 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.227 * [taylor]: Taking taylor expansion of th in kx
15.227 * [backup-simplify]: Simplify th into th
15.227 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.227 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.227 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.227 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.227 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.227 * [taylor]: Taking taylor expansion of ky in kx
15.227 * [backup-simplify]: Simplify ky into ky
15.227 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.228 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.228 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.228 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.228 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.228 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.228 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.228 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.228 * [taylor]: Taking taylor expansion of kx in kx
15.228 * [backup-simplify]: Simplify 0 into 0
15.228 * [backup-simplify]: Simplify 1 into 1
15.228 * [backup-simplify]: Simplify (/ 1 1) into 1
15.228 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.228 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.228 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.228 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.228 * [taylor]: Taking taylor expansion of ky in kx
15.229 * [backup-simplify]: Simplify ky into ky
15.229 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.229 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.229 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.229 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.229 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.229 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.229 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.229 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.229 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.230 * [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)))
15.230 * [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))))
15.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.231 * [backup-simplify]: Simplify (+ 0) into 0
15.231 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.233 * [backup-simplify]: Simplify (+ 0 0) into 0
15.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.233 * [backup-simplify]: Simplify (+ 0 0) into 0
15.234 * [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
15.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.234 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.234 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.235 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.235 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.235 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.235 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.235 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.235 * [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)))))
15.236 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.236 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.237 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.237 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) in th
15.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) in th
15.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) in th
15.237 * [taylor]: Taking taylor expansion of 1/3 in th
15.237 * [backup-simplify]: Simplify 1/3 into 1/3
15.237 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in th
15.237 * [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
15.237 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
15.237 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.237 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.237 * [taylor]: Taking taylor expansion of th in th
15.237 * [backup-simplify]: Simplify 0 into 0
15.237 * [backup-simplify]: Simplify 1 into 1
15.237 * [backup-simplify]: Simplify (/ 1 1) into 1
15.238 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.238 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.238 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.238 * [taylor]: Taking taylor expansion of ky in th
15.238 * [backup-simplify]: Simplify ky into ky
15.238 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.238 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.238 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
15.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
15.238 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
15.238 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
15.238 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.238 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.238 * [taylor]: Taking taylor expansion of kx in th
15.238 * [backup-simplify]: Simplify kx into kx
15.238 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.238 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.238 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.238 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.238 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.238 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.238 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
15.239 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.239 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.239 * [taylor]: Taking taylor expansion of ky in th
15.239 * [backup-simplify]: Simplify ky into ky
15.239 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.239 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.239 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.239 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.239 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.239 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.239 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.239 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.240 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.240 * [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)))
15.240 * [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))))
15.241 * [backup-simplify]: Simplify (+ 0) into 0
15.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.243 * [backup-simplify]: Simplify (+ 0 0) into 0
15.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.244 * [backup-simplify]: Simplify (+ 0) into 0
15.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.246 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.246 * [backup-simplify]: Simplify (+ 0 0) into 0
15.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.247 * [backup-simplify]: Simplify (+ 0 0) into 0
15.248 * [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
15.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.248 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.248 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.249 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.249 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.249 * [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)))))
15.250 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.250 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.251 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.251 * [backup-simplify]: Simplify (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.252 * [backup-simplify]: Simplify (+ 0) into 0
15.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.254 * [backup-simplify]: Simplify (+ 0 0) into 0
15.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.256 * [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
15.257 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
15.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
15.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.260 * [taylor]: Taking taylor expansion of 0 in kx
15.260 * [backup-simplify]: Simplify 0 into 0
15.260 * [taylor]: Taking taylor expansion of 0 in th
15.260 * [backup-simplify]: Simplify 0 into 0
15.260 * [backup-simplify]: Simplify 0 into 0
15.260 * [backup-simplify]: Simplify (+ 0) into 0
15.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.262 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.263 * [backup-simplify]: Simplify (+ 0 0) into 0
15.263 * [backup-simplify]: Simplify (+ 0) into 0
15.263 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.265 * [backup-simplify]: Simplify (+ 0 0) into 0
15.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.266 * [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
15.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
15.268 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
15.270 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.270 * [taylor]: Taking taylor expansion of 0 in th
15.270 * [backup-simplify]: Simplify 0 into 0
15.270 * [backup-simplify]: Simplify 0 into 0
15.270 * [backup-simplify]: Simplify (+ 0) into 0
15.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.273 * [backup-simplify]: Simplify (+ 0 0) into 0
15.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.274 * [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
15.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
15.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
15.277 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.277 * [backup-simplify]: Simplify 0 into 0
15.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.281 * [backup-simplify]: Simplify (+ 0 0) into 0
15.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.282 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.283 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.285 * [backup-simplify]: Simplify (+ 0 0) into 0
15.286 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.287 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.288 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.288 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.289 * [backup-simplify]: Simplify (+ 0 0) into 0
15.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.290 * [backup-simplify]: Simplify (+ 0 0) into 0
15.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.292 * [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
15.295 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 2) into 0
15.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))))) into 0
15.298 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.298 * [taylor]: Taking taylor expansion of 0 in kx
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [taylor]: Taking taylor expansion of 0 in th
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [taylor]: Taking taylor expansion of 0 in th
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify 0 into 0
15.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.301 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.302 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.303 * [backup-simplify]: Simplify (+ 0 0) into 0
15.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.303 * [backup-simplify]: Simplify (+ 0 0) into 0
15.304 * [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
15.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.308 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.309 * [backup-simplify]: Simplify (+ 0 0) into 0
15.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.310 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.312 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.312 * [backup-simplify]: Simplify (+ 0 0) into 0
15.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.318 * [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
15.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 2) into 0
15.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))))) into 0
15.324 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.324 * [taylor]: Taking taylor expansion of 0 in th
15.324 * [backup-simplify]: Simplify 0 into 0
15.324 * [backup-simplify]: Simplify 0 into 0
15.325 * [backup-simplify]: Simplify (pow (* (* (sin (/ 1 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
15.325 * [backup-simplify]: Simplify (cbrt (* (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) (sin (/ 1 (- th))))) into (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
15.325 * [approximate]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx th) around 0
15.325 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in th
15.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in th
15.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in th
15.326 * [taylor]: Taking taylor expansion of 1/3 in th
15.326 * [backup-simplify]: Simplify 1/3 into 1/3
15.326 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in th
15.326 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
15.326 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
15.326 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.326 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.326 * [taylor]: Taking taylor expansion of -1 in th
15.326 * [backup-simplify]: Simplify -1 into -1
15.326 * [taylor]: Taking taylor expansion of th in th
15.326 * [backup-simplify]: Simplify 0 into 0
15.326 * [backup-simplify]: Simplify 1 into 1
15.326 * [backup-simplify]: Simplify (/ -1 1) into -1
15.326 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.326 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.326 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.327 * [taylor]: Taking taylor expansion of -1 in th
15.327 * [backup-simplify]: Simplify -1 into -1
15.327 * [taylor]: Taking taylor expansion of ky in th
15.327 * [backup-simplify]: Simplify ky into ky
15.327 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.327 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.327 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.327 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
15.327 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.327 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
15.327 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.327 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.327 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.327 * [taylor]: Taking taylor expansion of -1 in th
15.327 * [backup-simplify]: Simplify -1 into -1
15.327 * [taylor]: Taking taylor expansion of ky in th
15.327 * [backup-simplify]: Simplify ky into ky
15.327 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.327 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.327 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.327 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.327 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.327 * [taylor]: Taking taylor expansion of -1 in th
15.327 * [backup-simplify]: Simplify -1 into -1
15.327 * [taylor]: Taking taylor expansion of ky in th
15.327 * [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))
15.328 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.328 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.328 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.328 * [taylor]: Taking taylor expansion of -1 in th
15.328 * [backup-simplify]: Simplify -1 into -1
15.328 * [taylor]: Taking taylor expansion of kx in th
15.328 * [backup-simplify]: Simplify kx into kx
15.328 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.328 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.328 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.328 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.328 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.328 * [taylor]: Taking taylor expansion of -1 in th
15.328 * [backup-simplify]: Simplify -1 into -1
15.328 * [taylor]: Taking taylor expansion of kx in th
15.328 * [backup-simplify]: Simplify kx into kx
15.328 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.328 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.328 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.328 * [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 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 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.329 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.329 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.329 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.329 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.330 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.330 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.330 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.330 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.330 * [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)))
15.331 * [backup-simplify]: Simplify (+ 0) into 0
15.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.332 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.332 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.333 * [backup-simplify]: Simplify (+ 0 0) into 0
15.334 * [backup-simplify]: Simplify (+ 0) into 0
15.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.334 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.336 * [backup-simplify]: Simplify (+ 0 0) into 0
15.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.336 * [backup-simplify]: Simplify (+ 0) into 0
15.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.337 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.338 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.339 * [backup-simplify]: Simplify (+ 0 0) into 0
15.339 * [backup-simplify]: Simplify (+ 0) into 0
15.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.340 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.341 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.342 * [backup-simplify]: Simplify (+ 0 0) into 0
15.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.342 * [backup-simplify]: Simplify (+ 0 0) into 0
15.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.343 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.343 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.343 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.343 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.343 * [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)))))
15.344 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.344 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.345 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.345 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
15.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
15.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
15.345 * [taylor]: Taking taylor expansion of 1/3 in kx
15.345 * [backup-simplify]: Simplify 1/3 into 1/3
15.345 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
15.345 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
15.345 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.345 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.345 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.345 * [taylor]: Taking taylor expansion of -1 in kx
15.345 * [backup-simplify]: Simplify -1 into -1
15.345 * [taylor]: Taking taylor expansion of th in kx
15.345 * [backup-simplify]: Simplify th into th
15.345 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.345 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.346 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.346 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.346 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.346 * [taylor]: Taking taylor expansion of -1 in kx
15.346 * [backup-simplify]: Simplify -1 into -1
15.346 * [taylor]: Taking taylor expansion of ky in kx
15.346 * [backup-simplify]: Simplify ky into ky
15.346 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.346 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.346 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.346 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
15.346 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.346 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
15.346 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.346 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.346 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.346 * [taylor]: Taking taylor expansion of -1 in kx
15.346 * [backup-simplify]: Simplify -1 into -1
15.346 * [taylor]: Taking taylor expansion of ky in kx
15.346 * [backup-simplify]: Simplify ky into ky
15.346 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.346 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.346 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.346 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.346 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.346 * [taylor]: Taking taylor expansion of -1 in kx
15.347 * [backup-simplify]: Simplify -1 into -1
15.347 * [taylor]: Taking taylor expansion of ky in kx
15.347 * [backup-simplify]: Simplify ky into ky
15.347 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.347 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.347 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.347 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.347 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.347 * [taylor]: Taking taylor expansion of -1 in kx
15.347 * [backup-simplify]: Simplify -1 into -1
15.347 * [taylor]: Taking taylor expansion of kx in kx
15.347 * [backup-simplify]: Simplify 0 into 0
15.347 * [backup-simplify]: Simplify 1 into 1
15.348 * [backup-simplify]: Simplify (/ -1 1) into -1
15.348 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.348 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.348 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.348 * [taylor]: Taking taylor expansion of -1 in kx
15.348 * [backup-simplify]: Simplify -1 into -1
15.348 * [taylor]: Taking taylor expansion of kx in kx
15.348 * [backup-simplify]: Simplify 0 into 0
15.348 * [backup-simplify]: Simplify 1 into 1
15.348 * [backup-simplify]: Simplify (/ -1 1) into -1
15.349 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.349 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.349 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.349 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.349 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.349 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.349 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.349 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.349 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.350 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.350 * [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)))
15.350 * [backup-simplify]: Simplify (+ 0) into 0
15.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.351 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.353 * [backup-simplify]: Simplify (+ 0 0) into 0
15.353 * [backup-simplify]: Simplify (+ 0) into 0
15.354 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.354 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.355 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.356 * [backup-simplify]: Simplify (+ 0 0) into 0
15.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.357 * [backup-simplify]: Simplify (+ 0 0) into 0
15.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.357 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.357 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.357 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.357 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.357 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.358 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.358 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.359 * [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)))))
15.359 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.360 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.360 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.360 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
15.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
15.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
15.360 * [taylor]: Taking taylor expansion of 1/3 in ky
15.360 * [backup-simplify]: Simplify 1/3 into 1/3
15.360 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
15.360 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
15.360 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.360 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.361 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.361 * [taylor]: Taking taylor expansion of -1 in ky
15.361 * [backup-simplify]: Simplify -1 into -1
15.361 * [taylor]: Taking taylor expansion of th in ky
15.361 * [backup-simplify]: Simplify th into th
15.361 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.361 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.361 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.361 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.361 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.361 * [taylor]: Taking taylor expansion of -1 in ky
15.361 * [backup-simplify]: Simplify -1 into -1
15.361 * [taylor]: Taking taylor expansion of ky in ky
15.361 * [backup-simplify]: Simplify 0 into 0
15.361 * [backup-simplify]: Simplify 1 into 1
15.362 * [backup-simplify]: Simplify (/ -1 1) into -1
15.362 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.362 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.362 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.362 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.362 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.362 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.362 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.362 * [taylor]: Taking taylor expansion of -1 in ky
15.362 * [backup-simplify]: Simplify -1 into -1
15.362 * [taylor]: Taking taylor expansion of ky in ky
15.362 * [backup-simplify]: Simplify 0 into 0
15.362 * [backup-simplify]: Simplify 1 into 1
15.363 * [backup-simplify]: Simplify (/ -1 1) into -1
15.363 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.363 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.363 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.363 * [taylor]: Taking taylor expansion of -1 in ky
15.363 * [backup-simplify]: Simplify -1 into -1
15.363 * [taylor]: Taking taylor expansion of ky in ky
15.363 * [backup-simplify]: Simplify 0 into 0
15.363 * [backup-simplify]: Simplify 1 into 1
15.364 * [backup-simplify]: Simplify (/ -1 1) into -1
15.364 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.364 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.364 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.364 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.364 * [taylor]: Taking taylor expansion of -1 in ky
15.364 * [backup-simplify]: Simplify -1 into -1
15.364 * [taylor]: Taking taylor expansion of kx in ky
15.364 * [backup-simplify]: Simplify kx into kx
15.364 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.364 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.364 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.364 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.364 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.364 * [taylor]: Taking taylor expansion of -1 in ky
15.364 * [backup-simplify]: Simplify -1 into -1
15.364 * [taylor]: Taking taylor expansion of kx in ky
15.364 * [backup-simplify]: Simplify kx into kx
15.364 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.364 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.364 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.365 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.365 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.365 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.365 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.365 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.365 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.365 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.365 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.365 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.366 * [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)))
15.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.366 * [backup-simplify]: Simplify (+ 0) into 0
15.367 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.367 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.368 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.368 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.369 * [backup-simplify]: Simplify (+ 0 0) into 0
15.369 * [backup-simplify]: Simplify (+ 0) into 0
15.370 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.370 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.371 * [backup-simplify]: Simplify (+ 0 0) into 0
15.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.372 * [backup-simplify]: Simplify (+ 0 0) into 0
15.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.373 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.373 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.373 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.373 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.373 * [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)))))
15.374 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.374 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.375 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.375 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
15.375 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
15.375 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
15.375 * [taylor]: Taking taylor expansion of 1/3 in ky
15.375 * [backup-simplify]: Simplify 1/3 into 1/3
15.375 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
15.375 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
15.375 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.375 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.375 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.375 * [taylor]: Taking taylor expansion of -1 in ky
15.375 * [backup-simplify]: Simplify -1 into -1
15.375 * [taylor]: Taking taylor expansion of th in ky
15.375 * [backup-simplify]: Simplify th into th
15.375 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.375 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.375 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.375 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.376 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.376 * [taylor]: Taking taylor expansion of -1 in ky
15.376 * [backup-simplify]: Simplify -1 into -1
15.376 * [taylor]: Taking taylor expansion of ky in ky
15.376 * [backup-simplify]: Simplify 0 into 0
15.376 * [backup-simplify]: Simplify 1 into 1
15.376 * [backup-simplify]: Simplify (/ -1 1) into -1
15.376 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.376 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.376 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.377 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.377 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.377 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.377 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.377 * [taylor]: Taking taylor expansion of -1 in ky
15.377 * [backup-simplify]: Simplify -1 into -1
15.377 * [taylor]: Taking taylor expansion of ky in ky
15.377 * [backup-simplify]: Simplify 0 into 0
15.377 * [backup-simplify]: Simplify 1 into 1
15.377 * [backup-simplify]: Simplify (/ -1 1) into -1
15.377 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.378 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.378 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.378 * [taylor]: Taking taylor expansion of -1 in ky
15.378 * [backup-simplify]: Simplify -1 into -1
15.378 * [taylor]: Taking taylor expansion of ky in ky
15.378 * [backup-simplify]: Simplify 0 into 0
15.378 * [backup-simplify]: Simplify 1 into 1
15.378 * [backup-simplify]: Simplify (/ -1 1) into -1
15.378 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.378 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.378 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.378 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.378 * [taylor]: Taking taylor expansion of -1 in ky
15.378 * [backup-simplify]: Simplify -1 into -1
15.378 * [taylor]: Taking taylor expansion of kx in ky
15.378 * [backup-simplify]: Simplify kx into kx
15.378 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.378 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.379 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.379 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.379 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.379 * [taylor]: Taking taylor expansion of -1 in ky
15.379 * [backup-simplify]: Simplify -1 into -1
15.379 * [taylor]: Taking taylor expansion of kx in ky
15.379 * [backup-simplify]: Simplify kx into kx
15.379 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.379 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.379 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.379 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.379 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.379 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.379 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.379 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.379 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.379 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.380 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.380 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.380 * [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)))
15.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.381 * [backup-simplify]: Simplify (+ 0) into 0
15.381 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.381 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.383 * [backup-simplify]: Simplify (+ 0 0) into 0
15.383 * [backup-simplify]: Simplify (+ 0) into 0
15.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.384 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.386 * [backup-simplify]: Simplify (+ 0 0) into 0
15.386 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.386 * [backup-simplify]: Simplify (+ 0 0) into 0
15.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.387 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.387 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.387 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.387 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.387 * [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)))))
15.388 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.388 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.389 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.389 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) in kx
15.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) in kx
15.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) in kx
15.389 * [taylor]: Taking taylor expansion of 1/3 in kx
15.389 * [backup-simplify]: Simplify 1/3 into 1/3
15.389 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in kx
15.389 * [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
15.389 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.389 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.389 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.389 * [taylor]: Taking taylor expansion of -1 in kx
15.389 * [backup-simplify]: Simplify -1 into -1
15.389 * [taylor]: Taking taylor expansion of th in kx
15.389 * [backup-simplify]: Simplify th into th
15.389 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.389 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.389 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.389 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.389 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.390 * [taylor]: Taking taylor expansion of -1 in kx
15.390 * [backup-simplify]: Simplify -1 into -1
15.390 * [taylor]: Taking taylor expansion of ky in kx
15.390 * [backup-simplify]: Simplify ky into ky
15.390 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.390 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.390 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.390 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.390 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.390 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.390 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.390 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.390 * [taylor]: Taking taylor expansion of -1 in kx
15.390 * [backup-simplify]: Simplify -1 into -1
15.390 * [taylor]: Taking taylor expansion of kx in kx
15.390 * [backup-simplify]: Simplify 0 into 0
15.390 * [backup-simplify]: Simplify 1 into 1
15.391 * [backup-simplify]: Simplify (/ -1 1) into -1
15.391 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.391 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.391 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.391 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.391 * [taylor]: Taking taylor expansion of -1 in kx
15.391 * [backup-simplify]: Simplify -1 into -1
15.391 * [taylor]: Taking taylor expansion of ky in kx
15.391 * [backup-simplify]: Simplify ky into ky
15.391 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.391 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.391 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.391 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.391 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.391 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.391 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.391 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.391 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.392 * [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)))
15.392 * [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))))
15.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.392 * [backup-simplify]: Simplify (+ 0) into 0
15.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.393 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.394 * [backup-simplify]: Simplify (+ 0 0) into 0
15.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.394 * [backup-simplify]: Simplify (+ 0 0) into 0
15.394 * [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
15.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.395 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.395 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.395 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.395 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.395 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.395 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.395 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.395 * [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)))))
15.395 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.396 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.396 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.396 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) in th
15.396 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) in th
15.396 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) in th
15.396 * [taylor]: Taking taylor expansion of 1/3 in th
15.396 * [backup-simplify]: Simplify 1/3 into 1/3
15.396 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in th
15.396 * [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
15.396 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
15.396 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.396 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.396 * [taylor]: Taking taylor expansion of -1 in th
15.396 * [backup-simplify]: Simplify -1 into -1
15.396 * [taylor]: Taking taylor expansion of th in th
15.396 * [backup-simplify]: Simplify 0 into 0
15.396 * [backup-simplify]: Simplify 1 into 1
15.397 * [backup-simplify]: Simplify (/ -1 1) into -1
15.397 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.397 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.397 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.397 * [taylor]: Taking taylor expansion of -1 in th
15.397 * [backup-simplify]: Simplify -1 into -1
15.397 * [taylor]: Taking taylor expansion of ky in th
15.397 * [backup-simplify]: Simplify ky into ky
15.397 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.397 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.397 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
15.397 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
15.397 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
15.397 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
15.397 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.397 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.397 * [taylor]: Taking taylor expansion of -1 in th
15.397 * [backup-simplify]: Simplify -1 into -1
15.397 * [taylor]: Taking taylor expansion of kx in th
15.397 * [backup-simplify]: Simplify kx into kx
15.397 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.397 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.397 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.397 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.397 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.397 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.397 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
15.397 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.397 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.397 * [taylor]: Taking taylor expansion of -1 in th
15.397 * [backup-simplify]: Simplify -1 into -1
15.397 * [taylor]: Taking taylor expansion of ky in th
15.397 * [backup-simplify]: Simplify ky into ky
15.397 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.397 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.398 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.398 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.398 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.398 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.398 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.398 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.398 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.398 * [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)))
15.398 * [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))))
15.399 * [backup-simplify]: Simplify (+ 0) into 0
15.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.399 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.400 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.400 * [backup-simplify]: Simplify (+ 0 0) into 0
15.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.401 * [backup-simplify]: Simplify (+ 0) into 0
15.401 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.401 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.402 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.402 * [backup-simplify]: Simplify (+ 0 0) into 0
15.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.402 * [backup-simplify]: Simplify (+ 0 0) into 0
15.403 * [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
15.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.403 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.403 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.403 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.403 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.404 * [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)))))
15.404 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.404 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.404 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.405 * [backup-simplify]: Simplify (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.405 * [backup-simplify]: Simplify (+ 0) into 0
15.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.406 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.407 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.407 * [backup-simplify]: Simplify (+ 0 0) into 0
15.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.408 * [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
15.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.410 * [taylor]: Taking taylor expansion of 0 in kx
15.410 * [backup-simplify]: Simplify 0 into 0
15.410 * [taylor]: Taking taylor expansion of 0 in th
15.410 * [backup-simplify]: Simplify 0 into 0
15.410 * [backup-simplify]: Simplify 0 into 0
15.410 * [backup-simplify]: Simplify (+ 0) into 0
15.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.411 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.412 * [backup-simplify]: Simplify (+ 0 0) into 0
15.412 * [backup-simplify]: Simplify (+ 0) into 0
15.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.412 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.413 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.413 * [backup-simplify]: Simplify (+ 0 0) into 0
15.413 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.414 * [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
15.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.416 * [taylor]: Taking taylor expansion of 0 in th
15.416 * [backup-simplify]: Simplify 0 into 0
15.416 * [backup-simplify]: Simplify 0 into 0
15.416 * [backup-simplify]: Simplify (+ 0) into 0
15.416 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.417 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.417 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.418 * [backup-simplify]: Simplify (+ 0 0) into 0
15.418 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.418 * [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
15.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.420 * [backup-simplify]: Simplify 0 into 0
15.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.422 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.423 * [backup-simplify]: Simplify (+ 0 0) into 0
15.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.424 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.424 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.425 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.426 * [backup-simplify]: Simplify (+ 0 0) into 0
15.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.427 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.427 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.428 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.428 * [backup-simplify]: Simplify (+ 0 0) into 0
15.428 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.428 * [backup-simplify]: Simplify (+ 0 0) into 0
15.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.430 * [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
15.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 2) into 0
15.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))))) into 0
15.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.435 * [taylor]: Taking taylor expansion of 0 in kx
15.435 * [backup-simplify]: Simplify 0 into 0
15.436 * [taylor]: Taking taylor expansion of 0 in th
15.436 * [backup-simplify]: Simplify 0 into 0
15.436 * [backup-simplify]: Simplify 0 into 0
15.436 * [taylor]: Taking taylor expansion of 0 in th
15.436 * [backup-simplify]: Simplify 0 into 0
15.436 * [backup-simplify]: Simplify 0 into 0
15.436 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.438 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.439 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.440 * [backup-simplify]: Simplify (+ 0 0) into 0
15.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.441 * [backup-simplify]: Simplify (+ 0 0) into 0
15.442 * [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
15.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.445 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.446 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.446 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.447 * [backup-simplify]: Simplify (+ 0 0) into 0
15.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.449 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.455 * [backup-simplify]: Simplify (+ 0 0) into 0
15.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.457 * [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
15.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 2) into 0
15.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))))) into 0
15.463 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.463 * [taylor]: Taking taylor expansion of 0 in th
15.463 * [backup-simplify]: Simplify 0 into 0
15.463 * [backup-simplify]: Simplify 0 into 0
15.464 * [backup-simplify]: Simplify (pow (* (* (sin (/ -1 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
15.464 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
15.464 * [backup-simplify]: Simplify (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) into (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3)
15.465 * [approximate]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in (ky kx th) around 0
15.465 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in th
15.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in th
15.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in th
15.465 * [taylor]: Taking taylor expansion of 1/3 in th
15.465 * [backup-simplify]: Simplify 1/3 into 1/3
15.465 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in th
15.465 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
15.465 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
15.465 * [taylor]: Taking taylor expansion of (sin th) in th
15.465 * [taylor]: Taking taylor expansion of th in th
15.465 * [backup-simplify]: Simplify 0 into 0
15.465 * [backup-simplify]: Simplify 1 into 1
15.465 * [taylor]: Taking taylor expansion of (sin ky) in th
15.465 * [taylor]: Taking taylor expansion of ky in th
15.465 * [backup-simplify]: Simplify ky into ky
15.465 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.465 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.465 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
15.465 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.465 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
15.465 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.465 * [taylor]: Taking taylor expansion of (sin ky) in th
15.465 * [taylor]: Taking taylor expansion of ky in th
15.465 * [backup-simplify]: Simplify ky into ky
15.465 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.466 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.466 * [taylor]: Taking taylor expansion of (sin ky) in th
15.466 * [taylor]: Taking taylor expansion of ky in th
15.466 * [backup-simplify]: Simplify ky into ky
15.466 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.466 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.466 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.466 * [taylor]: Taking taylor expansion of (sin kx) in th
15.466 * [taylor]: Taking taylor expansion of kx in th
15.466 * [backup-simplify]: Simplify kx into kx
15.466 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.466 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.466 * [taylor]: Taking taylor expansion of (sin kx) in th
15.466 * [taylor]: Taking taylor expansion of kx in th
15.466 * [backup-simplify]: Simplify kx into kx
15.466 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.466 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.466 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.466 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.466 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.466 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.466 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.467 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.467 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.467 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.467 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.467 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.467 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.467 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.467 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.467 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.467 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.468 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.468 * [backup-simplify]: Simplify (+ 0) into 0
15.469 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.471 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.471 * [backup-simplify]: Simplify (+ 0 0) into 0
15.471 * [backup-simplify]: Simplify (+ 0) into 0
15.472 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.473 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.474 * [backup-simplify]: Simplify (+ 0 0) into 0
15.474 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.474 * [backup-simplify]: Simplify (+ 0) into 0
15.475 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.476 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.476 * [backup-simplify]: Simplify (+ 0 0) into 0
15.477 * [backup-simplify]: Simplify (+ 0) into 0
15.477 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.479 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.479 * [backup-simplify]: Simplify (+ 0 0) into 0
15.479 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.480 * [backup-simplify]: Simplify (+ 0 0) into 0
15.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.480 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.480 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.480 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.480 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
15.481 * [backup-simplify]: Simplify (+ 0) into 0
15.481 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.483 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.483 * [backup-simplify]: Simplify (+ 0 0) into 0
15.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.485 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
15.485 * [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))
15.485 * [backup-simplify]: Simplify (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
15.486 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) into (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))
15.487 * [backup-simplify]: Simplify (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))) into (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th)))
15.487 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th)))) into (exp (* 1/3 (+ (log (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (log th))))
15.487 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in kx
15.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in kx
15.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in kx
15.487 * [taylor]: Taking taylor expansion of 1/3 in kx
15.487 * [backup-simplify]: Simplify 1/3 into 1/3
15.487 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in kx
15.487 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
15.487 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
15.487 * [taylor]: Taking taylor expansion of (sin th) in kx
15.487 * [taylor]: Taking taylor expansion of th in kx
15.487 * [backup-simplify]: Simplify th into th
15.488 * [backup-simplify]: Simplify (sin th) into (sin th)
15.488 * [backup-simplify]: Simplify (cos th) into (cos th)
15.488 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.488 * [taylor]: Taking taylor expansion of ky in kx
15.488 * [backup-simplify]: Simplify ky into ky
15.488 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.488 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.488 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
15.488 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.488 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
15.488 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.488 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.488 * [taylor]: Taking taylor expansion of ky in kx
15.488 * [backup-simplify]: Simplify ky into ky
15.488 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.488 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.488 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.488 * [taylor]: Taking taylor expansion of ky in kx
15.488 * [backup-simplify]: Simplify ky into ky
15.488 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.488 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.488 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.488 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.488 * [taylor]: Taking taylor expansion of kx in kx
15.488 * [backup-simplify]: Simplify 0 into 0
15.489 * [backup-simplify]: Simplify 1 into 1
15.489 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.489 * [taylor]: Taking taylor expansion of kx in kx
15.489 * [backup-simplify]: Simplify 0 into 0
15.489 * [backup-simplify]: Simplify 1 into 1
15.489 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.489 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.489 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.489 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.489 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.489 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.489 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.490 * [backup-simplify]: Simplify (* 0 0) into 0
15.490 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.490 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.490 * [backup-simplify]: Simplify (+ 0) into 0
15.491 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.492 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.493 * [backup-simplify]: Simplify (+ 0 0) into 0
15.493 * [backup-simplify]: Simplify (+ 0) into 0
15.494 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.495 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.496 * [backup-simplify]: Simplify (+ 0 0) into 0
15.496 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.497 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.498 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.498 * [backup-simplify]: Simplify (+ 0 0) into 0
15.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.499 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.499 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.499 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.499 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.499 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.499 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.499 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
15.499 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
15.499 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
15.499 * [backup-simplify]: Simplify (* 1/3 (log (sin th))) into (* 1/3 (log (sin th)))
15.500 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin th)))) into (pow (sin th) 1/3)
15.500 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in ky
15.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in ky
15.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in ky
15.500 * [taylor]: Taking taylor expansion of 1/3 in ky
15.500 * [backup-simplify]: Simplify 1/3 into 1/3
15.500 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in ky
15.500 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
15.500 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
15.500 * [taylor]: Taking taylor expansion of (sin th) in ky
15.500 * [taylor]: Taking taylor expansion of th in ky
15.500 * [backup-simplify]: Simplify th into th
15.500 * [backup-simplify]: Simplify (sin th) into (sin th)
15.500 * [backup-simplify]: Simplify (cos th) into (cos th)
15.500 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.500 * [taylor]: Taking taylor expansion of ky in ky
15.500 * [backup-simplify]: Simplify 0 into 0
15.500 * [backup-simplify]: Simplify 1 into 1
15.500 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.500 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.500 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.500 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.500 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.500 * [taylor]: Taking taylor expansion of ky in ky
15.500 * [backup-simplify]: Simplify 0 into 0
15.500 * [backup-simplify]: Simplify 1 into 1
15.500 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.500 * [taylor]: Taking taylor expansion of ky in ky
15.500 * [backup-simplify]: Simplify 0 into 0
15.501 * [backup-simplify]: Simplify 1 into 1
15.501 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.501 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.501 * [taylor]: Taking taylor expansion of kx in ky
15.501 * [backup-simplify]: Simplify kx into kx
15.501 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.501 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.501 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.501 * [taylor]: Taking taylor expansion of kx in ky
15.501 * [backup-simplify]: Simplify kx into kx
15.501 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.501 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.501 * [backup-simplify]: Simplify (* 0 0) into 0
15.501 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.502 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.502 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.502 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.502 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.502 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.502 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.502 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.502 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.504 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.504 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.505 * [backup-simplify]: Simplify (+ 0) into 0
15.505 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.507 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.507 * [backup-simplify]: Simplify (+ 0 0) into 0
15.507 * [backup-simplify]: Simplify (+ 0) into 0
15.508 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.509 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.510 * [backup-simplify]: Simplify (+ 0 0) into 0
15.510 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.510 * [backup-simplify]: Simplify (+ 0 0) into 0
15.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.510 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.510 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.511 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.511 * [backup-simplify]: Simplify (* (sin th) 0) into 0
15.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.512 * [backup-simplify]: Simplify (+ 0) into 0
15.512 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.513 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.513 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.514 * [backup-simplify]: Simplify (+ 0 0) into 0
15.514 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
15.514 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
15.514 * [backup-simplify]: Simplify (log (/ (sin th) (sin kx))) into (log (/ (sin th) (sin kx)))
15.515 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.515 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) into (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))
15.515 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))
15.515 * [taylor]: Taking taylor expansion of (pow (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) 1/3) in ky
15.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))))) in ky
15.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))) in ky
15.515 * [taylor]: Taking taylor expansion of 1/3 in ky
15.515 * [backup-simplify]: Simplify 1/3 into 1/3
15.515 * [taylor]: Taking taylor expansion of (log (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))) in ky
15.516 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
15.516 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
15.516 * [taylor]: Taking taylor expansion of (sin th) in ky
15.516 * [taylor]: Taking taylor expansion of th in ky
15.516 * [backup-simplify]: Simplify th into th
15.516 * [backup-simplify]: Simplify (sin th) into (sin th)
15.516 * [backup-simplify]: Simplify (cos th) into (cos th)
15.516 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.516 * [taylor]: Taking taylor expansion of ky in ky
15.516 * [backup-simplify]: Simplify 0 into 0
15.516 * [backup-simplify]: Simplify 1 into 1
15.516 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.516 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.516 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.516 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.516 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.516 * [taylor]: Taking taylor expansion of ky in ky
15.516 * [backup-simplify]: Simplify 0 into 0
15.516 * [backup-simplify]: Simplify 1 into 1
15.516 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.516 * [taylor]: Taking taylor expansion of ky in ky
15.516 * [backup-simplify]: Simplify 0 into 0
15.516 * [backup-simplify]: Simplify 1 into 1
15.516 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.516 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.516 * [taylor]: Taking taylor expansion of kx in ky
15.516 * [backup-simplify]: Simplify kx into kx
15.516 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.516 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.516 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.517 * [taylor]: Taking taylor expansion of kx in ky
15.517 * [backup-simplify]: Simplify kx into kx
15.517 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.517 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.517 * [backup-simplify]: Simplify (* 0 0) into 0
15.517 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.517 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.517 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.517 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.517 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.517 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.518 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.518 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.518 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.520 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.520 * [backup-simplify]: Simplify (+ 0) into 0
15.521 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.522 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.523 * [backup-simplify]: Simplify (+ 0 0) into 0
15.523 * [backup-simplify]: Simplify (+ 0) into 0
15.524 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.525 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.525 * [backup-simplify]: Simplify (+ 0 0) into 0
15.525 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.526 * [backup-simplify]: Simplify (+ 0 0) into 0
15.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.526 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.526 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.526 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.526 * [backup-simplify]: Simplify (* (sin th) 0) into 0
15.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.527 * [backup-simplify]: Simplify (+ 0) into 0
15.528 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.529 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.530 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.530 * [backup-simplify]: Simplify (+ 0 0) into 0
15.530 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
15.530 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
15.531 * [backup-simplify]: Simplify (log (/ (sin th) (sin kx))) into (log (/ (sin th) (sin kx)))
15.531 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.531 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) into (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))
15.531 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) into (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))
15.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) in kx
15.532 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) in kx
15.532 * [taylor]: Taking taylor expansion of 1/3 in kx
15.532 * [backup-simplify]: Simplify 1/3 into 1/3
15.532 * [taylor]: Taking taylor expansion of (+ (log (/ (sin th) (sin kx))) (log ky)) in kx
15.532 * [taylor]: Taking taylor expansion of (log (/ (sin th) (sin kx))) in kx
15.532 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
15.532 * [taylor]: Taking taylor expansion of (sin th) in kx
15.532 * [taylor]: Taking taylor expansion of th in kx
15.532 * [backup-simplify]: Simplify th into th
15.532 * [backup-simplify]: Simplify (sin th) into (sin th)
15.532 * [backup-simplify]: Simplify (cos th) into (cos th)
15.532 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.532 * [taylor]: Taking taylor expansion of kx in kx
15.532 * [backup-simplify]: Simplify 0 into 0
15.532 * [backup-simplify]: Simplify 1 into 1
15.532 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.532 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.532 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.533 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.533 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
15.533 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
15.533 * [taylor]: Taking taylor expansion of (log ky) in kx
15.533 * [taylor]: Taking taylor expansion of ky in kx
15.533 * [backup-simplify]: Simplify ky into ky
15.533 * [backup-simplify]: Simplify (log ky) into (log ky)
15.534 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) (log (sin th))) into (- (log (sin th)) (log kx))
15.534 * [backup-simplify]: Simplify (+ (- (log (sin th)) (log kx)) (log ky)) into (- (+ (log ky) (log (sin th))) (log kx))
15.534 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) into (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))
15.534 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))
15.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
15.534 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
15.534 * [taylor]: Taking taylor expansion of 1/3 in th
15.534 * [backup-simplify]: Simplify 1/3 into 1/3
15.534 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
15.534 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
15.534 * [taylor]: Taking taylor expansion of (log ky) in th
15.535 * [taylor]: Taking taylor expansion of ky in th
15.535 * [backup-simplify]: Simplify ky into ky
15.535 * [backup-simplify]: Simplify (log ky) into (log ky)
15.535 * [taylor]: Taking taylor expansion of (log (sin th)) in th
15.535 * [taylor]: Taking taylor expansion of (sin th) in th
15.535 * [taylor]: Taking taylor expansion of th in th
15.535 * [backup-simplify]: Simplify 0 into 0
15.535 * [backup-simplify]: Simplify 1 into 1
15.535 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.536 * [backup-simplify]: Simplify (log 1) into 0
15.536 * [taylor]: Taking taylor expansion of (log kx) in th
15.536 * [taylor]: Taking taylor expansion of kx in th
15.536 * [backup-simplify]: Simplify kx into kx
15.536 * [backup-simplify]: Simplify (log kx) into (log kx)
15.536 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
15.537 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
15.537 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
15.537 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
15.537 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
15.537 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.537 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.538 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.539 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.540 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
15.540 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.541 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
15.542 * [backup-simplify]: Simplify (+ 0 0) into 0
15.543 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 1) (* 0 0))) into 0
15.543 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ (sin th) (sin kx)) (/ 0 (sin kx))))) into 0
15.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin th) (sin kx)) 1)))) 1) into 0
15.544 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ (sin th) (sin kx))) (log ky)))) into 0
15.546 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.546 * [taylor]: Taking taylor expansion of 0 in kx
15.546 * [backup-simplify]: Simplify 0 into 0
15.546 * [taylor]: Taking taylor expansion of 0 in th
15.546 * [backup-simplify]: Simplify 0 into 0
15.546 * [backup-simplify]: Simplify 0 into 0
15.546 * [backup-simplify]: Simplify (+ 0) into 0
15.547 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.548 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.549 * [backup-simplify]: Simplify (+ 0 0) into 0
15.549 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
15.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin th) 1)))) 1) into 0
15.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.552 * [backup-simplify]: Simplify (+ 0 0) into 0
15.553 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx)))) into 0
15.554 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.554 * [taylor]: Taking taylor expansion of 0 in th
15.554 * [backup-simplify]: Simplify 0 into 0
15.554 * [backup-simplify]: Simplify 0 into 0
15.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.558 * [backup-simplify]: Simplify (+ 0 0) into 0
15.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow kx 1)))) 1) into 0
15.559 * [backup-simplify]: Simplify (- 0) into 0
15.560 * [backup-simplify]: Simplify (+ 0 0) into 0
15.560 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log th)) (log kx)))) into 0
15.561 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.561 * [backup-simplify]: Simplify 0 into 0
15.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.564 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.565 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.567 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.567 * [backup-simplify]: Simplify (+ 0 0) into 0
15.568 * [backup-simplify]: Simplify (+ (* (sin th) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin th)))
15.569 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.572 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.572 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.574 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.574 * [backup-simplify]: Simplify (+ 0 0) into 0
15.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.576 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.577 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.577 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.577 * [backup-simplify]: Simplify (+ 0 0) into 0
15.578 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.578 * [backup-simplify]: Simplify (+ 1 0) into 1
15.579 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
15.580 * [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)))))
15.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin th) (sin kx)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/6 (/ (sin th) (sin kx)))))) 1)) (pow (/ (sin th) (sin kx)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))
15.583 * [backup-simplify]: Simplify (+ (* (- -1) (log ky)) (log (/ (sin th) (sin kx)))) into (+ (log (/ (sin th) (sin kx))) (log ky))
15.583 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (pow (sin kx) 2)) 1/3))) (+ (* 0 0) (* 0 (+ (log (/ (sin th) (sin kx))) (log ky))))) into (- (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18))
15.585 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log (/ (sin th) (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 (/ (sin th) (sin kx))) (log ky))))))
15.585 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))))) in kx
15.585 * [taylor]: Taking taylor expansion of -1 in kx
15.585 * [backup-simplify]: Simplify -1 into -1
15.585 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))))) in kx
15.585 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow (sin kx) 2))) 1/18) in kx
15.585 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
15.585 * [taylor]: Taking taylor expansion of 1/6 in kx
15.585 * [backup-simplify]: Simplify 1/6 into 1/6
15.585 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
15.585 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.585 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.585 * [taylor]: Taking taylor expansion of kx in kx
15.585 * [backup-simplify]: Simplify 0 into 0
15.585 * [backup-simplify]: Simplify 1 into 1
15.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.586 * [backup-simplify]: Simplify (* 1 1) into 1
15.587 * [backup-simplify]: Simplify (/ 1 1) into 1
15.587 * [taylor]: Taking taylor expansion of 1/18 in kx
15.587 * [backup-simplify]: Simplify 1/18 into 1/18
15.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky)))) in kx
15.587 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ (sin th) (sin kx))) (log ky))) in kx
15.587 * [taylor]: Taking taylor expansion of 1/3 in kx
15.587 * [backup-simplify]: Simplify 1/3 into 1/3
15.587 * [taylor]: Taking taylor expansion of (+ (log (/ (sin th) (sin kx))) (log ky)) in kx
15.587 * [taylor]: Taking taylor expansion of (log (/ (sin th) (sin kx))) in kx
15.587 * [taylor]: Taking taylor expansion of (/ (sin th) (sin kx)) in kx
15.587 * [taylor]: Taking taylor expansion of (sin th) in kx
15.587 * [taylor]: Taking taylor expansion of th in kx
15.587 * [backup-simplify]: Simplify th into th
15.587 * [backup-simplify]: Simplify (sin th) into (sin th)
15.587 * [backup-simplify]: Simplify (cos th) into (cos th)
15.587 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.587 * [taylor]: Taking taylor expansion of kx in kx
15.587 * [backup-simplify]: Simplify 0 into 0
15.587 * [backup-simplify]: Simplify 1 into 1
15.587 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.587 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.588 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.588 * [backup-simplify]: Simplify (/ (sin th) 1) into (sin th)
15.588 * [backup-simplify]: Simplify (log (sin th)) into (log (sin th))
15.589 * [taylor]: Taking taylor expansion of (log ky) in kx
15.589 * [taylor]: Taking taylor expansion of ky in kx
15.589 * [backup-simplify]: Simplify ky into ky
15.589 * [backup-simplify]: Simplify (log ky) into (log ky)
15.589 * [backup-simplify]: Simplify (+ (* (- 1) (log kx)) (log (sin th))) into (- (log (sin th)) (log kx))
15.589 * [backup-simplify]: Simplify (+ (- (log (sin th)) (log kx)) (log ky)) into (- (+ (log ky) (log (sin th))) (log kx))
15.589 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) into (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))
15.590 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))
15.590 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
15.591 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.591 * [backup-simplify]: Simplify (+ 0) into 0
15.592 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.593 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.593 * [backup-simplify]: Simplify (+ 0 0) into 0
15.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ 0 1)))) into 0
15.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin th) 1)))) 1) into 0
15.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.598 * [backup-simplify]: Simplify (+ 0 0) into 0
15.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx)))) into 0
15.599 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.600 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
15.601 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.601 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
15.602 * [backup-simplify]: Simplify (+ 0 0) into 0
15.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
15.606 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin th) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin th))) 1)) (pow (sin th) 1)))) 2) into 1/6
15.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.608 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.609 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx))))) into 1/18
15.611 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.612 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.619 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
15.620 * [backup-simplify]: Simplify (+ 0 0) into 0
15.621 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.623 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.624 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
15.626 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
15.627 * [backup-simplify]: Simplify (+ 1/18 1/18) into 1/9
15.628 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) (+ (* 0 0) (* 1/9 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))))) into (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.628 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) into 0
15.629 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) into (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.629 * [backup-simplify]: Simplify (+ (* -1 (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) (+ (* 0 0) (* 0 (* 1/6 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))))
15.629 * [taylor]: Taking taylor expansion of (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))) in th
15.630 * [taylor]: Taking taylor expansion of (* 13/108 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) in th
15.630 * [taylor]: Taking taylor expansion of 13/108 in th
15.630 * [backup-simplify]: Simplify 13/108 into 13/108
15.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
15.630 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
15.630 * [taylor]: Taking taylor expansion of 1/3 in th
15.630 * [backup-simplify]: Simplify 1/3 into 1/3
15.630 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
15.630 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
15.630 * [taylor]: Taking taylor expansion of (log ky) in th
15.630 * [taylor]: Taking taylor expansion of ky in th
15.630 * [backup-simplify]: Simplify ky into ky
15.630 * [backup-simplify]: Simplify (log ky) into (log ky)
15.630 * [taylor]: Taking taylor expansion of (log (sin th)) in th
15.630 * [taylor]: Taking taylor expansion of (sin th) in th
15.630 * [taylor]: Taking taylor expansion of th in th
15.630 * [backup-simplify]: Simplify 0 into 0
15.630 * [backup-simplify]: Simplify 1 into 1
15.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.631 * [backup-simplify]: Simplify (log 1) into 0
15.631 * [taylor]: Taking taylor expansion of (log kx) in th
15.631 * [taylor]: Taking taylor expansion of kx in th
15.631 * [backup-simplify]: Simplify kx into kx
15.631 * [backup-simplify]: Simplify (log kx) into (log kx)
15.632 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
15.632 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
15.632 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
15.632 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
15.632 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
15.632 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.633 * [backup-simplify]: Simplify (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
15.633 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))))
15.633 * [backup-simplify]: Simplify (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))))
15.633 * [taylor]: Taking taylor expansion of 0 in th
15.633 * [backup-simplify]: Simplify 0 into 0
15.633 * [backup-simplify]: Simplify 0 into 0
15.634 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.635 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
15.636 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.636 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
15.637 * [backup-simplify]: Simplify (+ 0 0) into 0
15.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin th) (/ -1/6 1)) (* 0 (/ 0 1)))) into (* 1/6 (sin th))
15.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin th) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (sin th))) 1)) (pow (sin th) 1)))) 2) into 1/6
15.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
15.644 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
15.645 * [backup-simplify]: Simplify (+ (* 1/3 1/6) (+ (* 0 0) (* 0 (- (+ (log ky) (log (sin th))) (log kx))))) into 1/18
15.647 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/18 1) 1)))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))))
15.647 * [taylor]: Taking taylor expansion of (* 1/18 (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))))) in th
15.647 * [taylor]: Taking taylor expansion of 1/18 in th
15.647 * [backup-simplify]: Simplify 1/18 into 1/18
15.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log ky) (log (sin th))) (log kx)))) in th
15.647 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log ky) (log (sin th))) (log kx))) in th
15.647 * [taylor]: Taking taylor expansion of 1/3 in th
15.647 * [backup-simplify]: Simplify 1/3 into 1/3
15.647 * [taylor]: Taking taylor expansion of (- (+ (log ky) (log (sin th))) (log kx)) in th
15.647 * [taylor]: Taking taylor expansion of (+ (log ky) (log (sin th))) in th
15.648 * [taylor]: Taking taylor expansion of (log ky) in th
15.648 * [taylor]: Taking taylor expansion of ky in th
15.648 * [backup-simplify]: Simplify ky into ky
15.648 * [backup-simplify]: Simplify (log ky) into (log ky)
15.648 * [taylor]: Taking taylor expansion of (log (sin th)) in th
15.648 * [taylor]: Taking taylor expansion of (sin th) in th
15.648 * [taylor]: Taking taylor expansion of th in th
15.648 * [backup-simplify]: Simplify 0 into 0
15.648 * [backup-simplify]: Simplify 1 into 1
15.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.649 * [backup-simplify]: Simplify (log 1) into 0
15.649 * [taylor]: Taking taylor expansion of (log kx) in th
15.649 * [taylor]: Taking taylor expansion of kx in th
15.649 * [backup-simplify]: Simplify kx into kx
15.649 * [backup-simplify]: Simplify (log kx) into (log kx)
15.650 * [backup-simplify]: Simplify (+ (* (- -1) (log th)) 0) into (log th)
15.650 * [backup-simplify]: Simplify (+ (log ky) (log th)) into (+ (log ky) (log th))
15.650 * [backup-simplify]: Simplify (- (log kx)) into (- (log kx))
15.650 * [backup-simplify]: Simplify (+ (+ (log ky) (log th)) (- (log kx))) into (- (+ (log ky) (log th)) (log kx))
15.650 * [backup-simplify]: Simplify (* 1/3 (- (+ (log ky) (log th)) (log kx))) into (* 1/3 (- (+ (log ky) (log th)) (log kx)))
15.650 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) into (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))
15.650 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
15.650 * [backup-simplify]: Simplify (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) into (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))
15.652 * [backup-simplify]: Simplify (+ (* (* 1/18 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (pow (* 1 (* kx 1)) 2)) (+ (* (- (* 13/108 (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) (pow (* 1 (* 1 ky)) 2)) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))))) into (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))
15.652 * [backup-simplify]: Simplify (cbrt (* (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) (sin (/ 1 th)))) into (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3)
15.652 * [approximate]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in (ky kx th) around 0
15.652 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in th
15.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in th
15.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in th
15.652 * [taylor]: Taking taylor expansion of 1/3 in th
15.652 * [backup-simplify]: Simplify 1/3 into 1/3
15.652 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in th
15.652 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
15.652 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
15.652 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.652 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.652 * [taylor]: Taking taylor expansion of th in th
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [backup-simplify]: Simplify 1 into 1
15.653 * [backup-simplify]: Simplify (/ 1 1) into 1
15.653 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.653 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.653 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.653 * [taylor]: Taking taylor expansion of ky in th
15.653 * [backup-simplify]: Simplify ky into ky
15.653 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.653 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.653 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.653 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
15.653 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.653 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
15.654 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
15.654 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.654 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.654 * [taylor]: Taking taylor expansion of ky in th
15.654 * [backup-simplify]: Simplify ky into ky
15.654 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.654 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.654 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.654 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.654 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.654 * [taylor]: Taking taylor expansion of ky in th
15.654 * [backup-simplify]: Simplify ky into ky
15.654 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.654 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.654 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.654 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
15.654 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.654 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.654 * [taylor]: Taking taylor expansion of kx in th
15.654 * [backup-simplify]: Simplify kx into kx
15.654 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.654 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.654 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.655 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.655 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.655 * [taylor]: Taking taylor expansion of kx in th
15.655 * [backup-simplify]: Simplify kx into kx
15.655 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.655 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.655 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.655 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.655 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.655 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.655 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.655 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.655 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.655 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.656 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.656 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.656 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.656 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.656 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.656 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.656 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.656 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.657 * [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)))
15.657 * [backup-simplify]: Simplify (+ 0) into 0
15.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.659 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.660 * [backup-simplify]: Simplify (+ 0 0) into 0
15.660 * [backup-simplify]: Simplify (+ 0) into 0
15.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.663 * [backup-simplify]: Simplify (+ 0 0) into 0
15.663 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.663 * [backup-simplify]: Simplify (+ 0) into 0
15.664 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.665 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.665 * [backup-simplify]: Simplify (+ 0 0) into 0
15.666 * [backup-simplify]: Simplify (+ 0) into 0
15.666 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.668 * [backup-simplify]: Simplify (+ 0 0) into 0
15.669 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.669 * [backup-simplify]: Simplify (+ 0 0) into 0
15.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.670 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.670 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.670 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.670 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.671 * [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)))))
15.671 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.672 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.672 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.672 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in kx
15.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in kx
15.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in kx
15.672 * [taylor]: Taking taylor expansion of 1/3 in kx
15.672 * [backup-simplify]: Simplify 1/3 into 1/3
15.672 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in kx
15.673 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
15.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
15.673 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.673 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.673 * [taylor]: Taking taylor expansion of th in kx
15.673 * [backup-simplify]: Simplify th into th
15.673 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.673 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.673 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.673 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.673 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.673 * [taylor]: Taking taylor expansion of ky in kx
15.673 * [backup-simplify]: Simplify ky into ky
15.673 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.673 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.673 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.673 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
15.673 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.673 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
15.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.673 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.673 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.674 * [taylor]: Taking taylor expansion of ky in kx
15.674 * [backup-simplify]: Simplify ky into ky
15.674 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.674 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.674 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.674 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.674 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.674 * [taylor]: Taking taylor expansion of ky in kx
15.674 * [backup-simplify]: Simplify ky into ky
15.674 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.674 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.674 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.674 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.674 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.674 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.674 * [taylor]: Taking taylor expansion of kx in kx
15.674 * [backup-simplify]: Simplify 0 into 0
15.674 * [backup-simplify]: Simplify 1 into 1
15.675 * [backup-simplify]: Simplify (/ 1 1) into 1
15.675 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.675 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.675 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.675 * [taylor]: Taking taylor expansion of kx in kx
15.675 * [backup-simplify]: Simplify 0 into 0
15.675 * [backup-simplify]: Simplify 1 into 1
15.675 * [backup-simplify]: Simplify (/ 1 1) into 1
15.676 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.676 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.676 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.676 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.676 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.676 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.676 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.676 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.677 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.677 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.677 * [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)))
15.678 * [backup-simplify]: Simplify (+ 0) into 0
15.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.679 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.680 * [backup-simplify]: Simplify (+ 0 0) into 0
15.680 * [backup-simplify]: Simplify (+ 0) into 0
15.681 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.682 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.682 * [backup-simplify]: Simplify (+ 0 0) into 0
15.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.683 * [backup-simplify]: Simplify (+ 0 0) into 0
15.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.684 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.684 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.684 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.684 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.684 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.684 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.684 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.684 * [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)))))
15.685 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.685 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.686 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.686 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
15.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
15.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
15.686 * [taylor]: Taking taylor expansion of 1/3 in ky
15.686 * [backup-simplify]: Simplify 1/3 into 1/3
15.686 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
15.686 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
15.686 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
15.686 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.686 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.686 * [taylor]: Taking taylor expansion of th in ky
15.686 * [backup-simplify]: Simplify th into th
15.686 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.686 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.686 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.686 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.686 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.686 * [taylor]: Taking taylor expansion of ky in ky
15.686 * [backup-simplify]: Simplify 0 into 0
15.686 * [backup-simplify]: Simplify 1 into 1
15.687 * [backup-simplify]: Simplify (/ 1 1) into 1
15.687 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.687 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.687 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.687 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.687 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.687 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.687 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.687 * [taylor]: Taking taylor expansion of ky in ky
15.687 * [backup-simplify]: Simplify 0 into 0
15.687 * [backup-simplify]: Simplify 1 into 1
15.688 * [backup-simplify]: Simplify (/ 1 1) into 1
15.688 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.688 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.688 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.688 * [taylor]: Taking taylor expansion of ky in ky
15.688 * [backup-simplify]: Simplify 0 into 0
15.688 * [backup-simplify]: Simplify 1 into 1
15.688 * [backup-simplify]: Simplify (/ 1 1) into 1
15.688 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.688 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.688 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.688 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.688 * [taylor]: Taking taylor expansion of kx in ky
15.688 * [backup-simplify]: Simplify kx into kx
15.689 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.689 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.689 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.689 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.689 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.689 * [taylor]: Taking taylor expansion of kx in ky
15.689 * [backup-simplify]: Simplify kx into kx
15.689 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.689 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.689 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.689 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.689 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.689 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.689 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.689 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.689 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.690 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.690 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.690 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.690 * [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)))
15.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.691 * [backup-simplify]: Simplify (+ 0) into 0
15.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.692 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.692 * [backup-simplify]: Simplify (+ 0 0) into 0
15.692 * [backup-simplify]: Simplify (+ 0) into 0
15.693 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.693 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.694 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.694 * [backup-simplify]: Simplify (+ 0 0) into 0
15.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.694 * [backup-simplify]: Simplify (+ 0 0) into 0
15.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.695 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.695 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.695 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.695 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.695 * [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)))))
15.695 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.696 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.696 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.696 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) 1/3) in ky
15.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))))) in ky
15.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))))) in ky
15.696 * [taylor]: Taking taylor expansion of 1/3 in ky
15.696 * [backup-simplify]: Simplify 1/3 into 1/3
15.696 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))) in ky
15.696 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
15.696 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
15.696 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
15.696 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
15.696 * [taylor]: Taking taylor expansion of th in ky
15.696 * [backup-simplify]: Simplify th into th
15.696 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.696 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.697 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.697 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.697 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.697 * [taylor]: Taking taylor expansion of ky in ky
15.697 * [backup-simplify]: Simplify 0 into 0
15.697 * [backup-simplify]: Simplify 1 into 1
15.697 * [backup-simplify]: Simplify (/ 1 1) into 1
15.697 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.697 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
15.697 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
15.697 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
15.697 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.697 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.697 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.697 * [taylor]: Taking taylor expansion of ky in ky
15.697 * [backup-simplify]: Simplify 0 into 0
15.697 * [backup-simplify]: Simplify 1 into 1
15.697 * [backup-simplify]: Simplify (/ 1 1) into 1
15.697 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.698 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.698 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.698 * [taylor]: Taking taylor expansion of ky in ky
15.698 * [backup-simplify]: Simplify 0 into 0
15.698 * [backup-simplify]: Simplify 1 into 1
15.698 * [backup-simplify]: Simplify (/ 1 1) into 1
15.698 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.698 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.698 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.698 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.698 * [taylor]: Taking taylor expansion of kx in ky
15.698 * [backup-simplify]: Simplify kx into kx
15.698 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.698 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.698 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.698 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.698 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.698 * [taylor]: Taking taylor expansion of kx in ky
15.698 * [backup-simplify]: Simplify kx into kx
15.698 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.698 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.698 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.698 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.698 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.698 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.698 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.699 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.699 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.699 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.699 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.699 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.699 * [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)))
15.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.699 * [backup-simplify]: Simplify (+ 0) into 0
15.700 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.701 * [backup-simplify]: Simplify (+ 0 0) into 0
15.701 * [backup-simplify]: Simplify (+ 0) into 0
15.702 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.702 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.703 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.703 * [backup-simplify]: Simplify (+ 0 0) into 0
15.703 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.703 * [backup-simplify]: Simplify (+ 0 0) into 0
15.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.703 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.703 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.704 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.704 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.704 * [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)))))
15.704 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.704 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.705 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.705 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) in kx
15.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) in kx
15.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) in kx
15.705 * [taylor]: Taking taylor expansion of 1/3 in kx
15.705 * [backup-simplify]: Simplify 1/3 into 1/3
15.705 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in kx
15.705 * [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
15.705 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
15.705 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
15.705 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
15.705 * [taylor]: Taking taylor expansion of th in kx
15.705 * [backup-simplify]: Simplify th into th
15.705 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
15.705 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.705 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
15.705 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.705 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.705 * [taylor]: Taking taylor expansion of ky in kx
15.705 * [backup-simplify]: Simplify ky into ky
15.705 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.705 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.705 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.705 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.705 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.705 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.705 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.705 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.705 * [taylor]: Taking taylor expansion of kx in kx
15.705 * [backup-simplify]: Simplify 0 into 0
15.705 * [backup-simplify]: Simplify 1 into 1
15.706 * [backup-simplify]: Simplify (/ 1 1) into 1
15.706 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.706 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.706 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.706 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.706 * [taylor]: Taking taylor expansion of ky in kx
15.706 * [backup-simplify]: Simplify ky into ky
15.706 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.706 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.706 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.706 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.706 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.706 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.706 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.706 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.706 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.707 * [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)))
15.707 * [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))))
15.707 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.707 * [backup-simplify]: Simplify (+ 0) into 0
15.707 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.708 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.709 * [backup-simplify]: Simplify (+ 0 0) into 0
15.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.709 * [backup-simplify]: Simplify (+ 0 0) into 0
15.709 * [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
15.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.709 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
15.710 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
15.710 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
15.710 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.710 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.710 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.710 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.710 * [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)))))
15.710 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.711 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.711 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.711 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) in th
15.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) in th
15.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) in th
15.711 * [taylor]: Taking taylor expansion of 1/3 in th
15.711 * [backup-simplify]: Simplify 1/3 into 1/3
15.711 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in th
15.711 * [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
15.711 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
15.711 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
15.711 * [taylor]: Taking taylor expansion of (/ 1 th) in th
15.711 * [taylor]: Taking taylor expansion of th in th
15.711 * [backup-simplify]: Simplify 0 into 0
15.711 * [backup-simplify]: Simplify 1 into 1
15.711 * [backup-simplify]: Simplify (/ 1 1) into 1
15.711 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
15.711 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.712 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.712 * [taylor]: Taking taylor expansion of ky in th
15.712 * [backup-simplify]: Simplify ky into ky
15.712 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.712 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.712 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
15.712 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
15.712 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
15.712 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
15.712 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
15.712 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
15.712 * [taylor]: Taking taylor expansion of kx in th
15.712 * [backup-simplify]: Simplify kx into kx
15.712 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.712 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.712 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.712 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.712 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.712 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.712 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
15.712 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
15.712 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
15.712 * [taylor]: Taking taylor expansion of ky in th
15.712 * [backup-simplify]: Simplify ky into ky
15.712 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.712 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.712 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.712 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.712 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.712 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.712 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.713 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.713 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.713 * [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)))
15.713 * [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))))
15.713 * [backup-simplify]: Simplify (+ 0) into 0
15.714 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.715 * [backup-simplify]: Simplify (+ 0 0) into 0
15.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.715 * [backup-simplify]: Simplify (+ 0) into 0
15.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.716 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.717 * [backup-simplify]: Simplify (+ 0 0) into 0
15.717 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.717 * [backup-simplify]: Simplify (+ 0 0) into 0
15.717 * [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
15.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.718 * [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 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
15.718 * [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)))))
15.718 * [backup-simplify]: Simplify (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))
15.719 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))
15.719 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.719 * [backup-simplify]: Simplify (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3) into (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1/3)
15.719 * [backup-simplify]: Simplify (+ 0) into 0
15.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.721 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.721 * [backup-simplify]: Simplify (+ 0 0) into 0
15.721 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.722 * [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
15.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
15.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
15.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.725 * [taylor]: Taking taylor expansion of 0 in kx
15.725 * [backup-simplify]: Simplify 0 into 0
15.725 * [taylor]: Taking taylor expansion of 0 in th
15.725 * [backup-simplify]: Simplify 0 into 0
15.725 * [backup-simplify]: Simplify 0 into 0
15.726 * [backup-simplify]: Simplify (+ 0) into 0
15.726 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.727 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.727 * [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 (+ 0) into 0
15.729 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
15.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
15.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.730 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
15.731 * [backup-simplify]: Simplify (+ 0 0) into 0
15.731 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.731 * [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
15.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
15.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
15.735 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.735 * [taylor]: Taking taylor expansion of 0 in th
15.735 * [backup-simplify]: Simplify 0 into 0
15.735 * [backup-simplify]: Simplify 0 into 0
15.736 * [backup-simplify]: Simplify (+ 0) into 0
15.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.738 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.738 * [backup-simplify]: Simplify (+ 0 0) into 0
15.738 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.739 * [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
15.740 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 1) into 0
15.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) into 0
15.742 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.742 * [backup-simplify]: Simplify 0 into 0
15.743 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.744 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.745 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.746 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.746 * [backup-simplify]: Simplify (+ 0 0) into 0
15.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.748 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.750 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.752 * [backup-simplify]: Simplify (+ 0 0) into 0
15.752 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.754 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.755 * [backup-simplify]: Simplify (+ 0 0) into 0
15.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.756 * [backup-simplify]: Simplify (+ 0 0) into 0
15.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.757 * [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
15.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 2) into 0
15.763 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))))) into 0
15.764 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.764 * [taylor]: Taking taylor expansion of 0 in kx
15.764 * [backup-simplify]: Simplify 0 into 0
15.764 * [taylor]: Taking taylor expansion of 0 in th
15.764 * [backup-simplify]: Simplify 0 into 0
15.764 * [backup-simplify]: Simplify 0 into 0
15.764 * [taylor]: Taking taylor expansion of 0 in th
15.764 * [backup-simplify]: Simplify 0 into 0
15.764 * [backup-simplify]: Simplify 0 into 0
15.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.765 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.766 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.767 * [backup-simplify]: Simplify (+ 0 0) into 0
15.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.767 * [backup-simplify]: Simplify (+ 0 0) into 0
15.768 * [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
15.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.770 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.771 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.772 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.772 * [backup-simplify]: Simplify (+ 0 0) into 0
15.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.773 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.773 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.774 * [backup-simplify]: Simplify (+ 0 0) into 0
15.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.775 * [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
15.777 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) 1)))) 2) into 0
15.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))))) into 0
15.779 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.779 * [taylor]: Taking taylor expansion of 0 in th
15.779 * [backup-simplify]: Simplify 0 into 0
15.779 * [backup-simplify]: Simplify 0 into 0
15.779 * [backup-simplify]: Simplify (pow (* (* (sin (/ 1 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
15.779 * [backup-simplify]: Simplify (cbrt (* (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) (sin (/ 1 (- th))))) into (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3)
15.779 * [approximate]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in (ky kx th) around 0
15.779 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in th
15.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in th
15.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in th
15.779 * [taylor]: Taking taylor expansion of 1/3 in th
15.779 * [backup-simplify]: Simplify 1/3 into 1/3
15.779 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in th
15.779 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
15.779 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
15.779 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.779 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.779 * [taylor]: Taking taylor expansion of -1 in th
15.779 * [backup-simplify]: Simplify -1 into -1
15.779 * [taylor]: Taking taylor expansion of th in th
15.779 * [backup-simplify]: Simplify 0 into 0
15.779 * [backup-simplify]: Simplify 1 into 1
15.780 * [backup-simplify]: Simplify (/ -1 1) into -1
15.780 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.780 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.780 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.780 * [taylor]: Taking taylor expansion of -1 in th
15.780 * [backup-simplify]: Simplify -1 into -1
15.780 * [taylor]: Taking taylor expansion of ky in th
15.780 * [backup-simplify]: Simplify ky into ky
15.780 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.780 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.780 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.780 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
15.780 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.780 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
15.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
15.780 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.780 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.780 * [taylor]: Taking taylor expansion of -1 in th
15.780 * [backup-simplify]: Simplify -1 into -1
15.780 * [taylor]: Taking taylor expansion of ky in th
15.780 * [backup-simplify]: Simplify ky into ky
15.780 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.780 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.780 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.780 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.780 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.780 * [taylor]: Taking taylor expansion of -1 in th
15.780 * [backup-simplify]: Simplify -1 into -1
15.780 * [taylor]: Taking taylor expansion of ky in th
15.780 * [backup-simplify]: Simplify ky into ky
15.780 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.781 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.781 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.781 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
15.781 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.781 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.781 * [taylor]: Taking taylor expansion of -1 in th
15.781 * [backup-simplify]: Simplify -1 into -1
15.781 * [taylor]: Taking taylor expansion of kx in th
15.781 * [backup-simplify]: Simplify kx into kx
15.781 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.781 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.781 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.781 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.781 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.781 * [taylor]: Taking taylor expansion of -1 in th
15.781 * [backup-simplify]: Simplify -1 into -1
15.781 * [taylor]: Taking taylor expansion of kx in th
15.781 * [backup-simplify]: Simplify kx into kx
15.781 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.781 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.781 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.781 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.781 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.781 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.781 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.781 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.781 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.781 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.781 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.781 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.782 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.782 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.782 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.782 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.782 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.782 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.782 * [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)))
15.782 * [backup-simplify]: Simplify (+ 0) into 0
15.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.783 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.784 * [backup-simplify]: Simplify (+ 0 0) into 0
15.785 * [backup-simplify]: Simplify (+ 0) into 0
15.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.786 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.787 * [backup-simplify]: Simplify (+ 0 0) into 0
15.787 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.788 * [backup-simplify]: Simplify (+ 0) into 0
15.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.788 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.790 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.790 * [backup-simplify]: Simplify (+ 0 0) into 0
15.790 * [backup-simplify]: Simplify (+ 0) into 0
15.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.791 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.792 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.792 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.793 * [backup-simplify]: Simplify (+ 0 0) into 0
15.793 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.793 * [backup-simplify]: Simplify (+ 0 0) into 0
15.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.794 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.794 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.794 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.794 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.794 * [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)))))
15.795 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.795 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.796 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.796 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in kx
15.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in kx
15.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in kx
15.796 * [taylor]: Taking taylor expansion of 1/3 in kx
15.796 * [backup-simplify]: Simplify 1/3 into 1/3
15.796 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in kx
15.796 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
15.796 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.796 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.796 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.796 * [taylor]: Taking taylor expansion of -1 in kx
15.796 * [backup-simplify]: Simplify -1 into -1
15.796 * [taylor]: Taking taylor expansion of th in kx
15.796 * [backup-simplify]: Simplify th into th
15.796 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.796 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.796 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.796 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.796 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.796 * [taylor]: Taking taylor expansion of -1 in kx
15.797 * [backup-simplify]: Simplify -1 into -1
15.797 * [taylor]: Taking taylor expansion of ky in kx
15.797 * [backup-simplify]: Simplify ky into ky
15.797 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.797 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.797 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.797 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
15.797 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.797 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
15.797 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.797 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.797 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.797 * [taylor]: Taking taylor expansion of -1 in kx
15.797 * [backup-simplify]: Simplify -1 into -1
15.797 * [taylor]: Taking taylor expansion of ky in kx
15.797 * [backup-simplify]: Simplify ky into ky
15.797 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.797 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.797 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.797 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.797 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.797 * [taylor]: Taking taylor expansion of -1 in kx
15.797 * [backup-simplify]: Simplify -1 into -1
15.797 * [taylor]: Taking taylor expansion of ky in kx
15.797 * [backup-simplify]: Simplify ky into ky
15.798 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.798 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.798 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.798 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.798 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.798 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.798 * [taylor]: Taking taylor expansion of -1 in kx
15.798 * [backup-simplify]: Simplify -1 into -1
15.798 * [taylor]: Taking taylor expansion of kx in kx
15.798 * [backup-simplify]: Simplify 0 into 0
15.798 * [backup-simplify]: Simplify 1 into 1
15.798 * [backup-simplify]: Simplify (/ -1 1) into -1
15.799 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.799 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.799 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.799 * [taylor]: Taking taylor expansion of -1 in kx
15.799 * [backup-simplify]: Simplify -1 into -1
15.799 * [taylor]: Taking taylor expansion of kx in kx
15.799 * [backup-simplify]: Simplify 0 into 0
15.799 * [backup-simplify]: Simplify 1 into 1
15.799 * [backup-simplify]: Simplify (/ -1 1) into -1
15.799 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.799 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.800 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.800 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.800 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.800 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.800 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.800 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.800 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.800 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.801 * [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)))
15.801 * [backup-simplify]: Simplify (+ 0) into 0
15.802 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.802 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.803 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.803 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.804 * [backup-simplify]: Simplify (+ 0 0) into 0
15.804 * [backup-simplify]: Simplify (+ 0) into 0
15.805 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.805 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.806 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.806 * [backup-simplify]: Simplify (+ 0 0) into 0
15.806 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.807 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.807 * [backup-simplify]: Simplify (+ 0 0) into 0
15.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.808 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.808 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.808 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.808 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.808 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.808 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.808 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.809 * [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)))))
15.809 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.810 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.810 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.810 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
15.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
15.810 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
15.810 * [taylor]: Taking taylor expansion of 1/3 in ky
15.810 * [backup-simplify]: Simplify 1/3 into 1/3
15.810 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
15.810 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
15.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.810 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.810 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.810 * [taylor]: Taking taylor expansion of -1 in ky
15.810 * [backup-simplify]: Simplify -1 into -1
15.811 * [taylor]: Taking taylor expansion of th in ky
15.811 * [backup-simplify]: Simplify th into th
15.811 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.811 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.811 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.811 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.811 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.811 * [taylor]: Taking taylor expansion of -1 in ky
15.811 * [backup-simplify]: Simplify -1 into -1
15.811 * [taylor]: Taking taylor expansion of ky in ky
15.811 * [backup-simplify]: Simplify 0 into 0
15.811 * [backup-simplify]: Simplify 1 into 1
15.811 * [backup-simplify]: Simplify (/ -1 1) into -1
15.811 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.812 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.812 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.812 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.812 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.812 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.812 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.812 * [taylor]: Taking taylor expansion of -1 in ky
15.812 * [backup-simplify]: Simplify -1 into -1
15.812 * [taylor]: Taking taylor expansion of ky in ky
15.812 * [backup-simplify]: Simplify 0 into 0
15.812 * [backup-simplify]: Simplify 1 into 1
15.812 * [backup-simplify]: Simplify (/ -1 1) into -1
15.812 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.812 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.812 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.812 * [taylor]: Taking taylor expansion of -1 in ky
15.812 * [backup-simplify]: Simplify -1 into -1
15.812 * [taylor]: Taking taylor expansion of ky in ky
15.812 * [backup-simplify]: Simplify 0 into 0
15.812 * [backup-simplify]: Simplify 1 into 1
15.812 * [backup-simplify]: Simplify (/ -1 1) into -1
15.813 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.813 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.813 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.813 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.813 * [taylor]: Taking taylor expansion of -1 in ky
15.813 * [backup-simplify]: Simplify -1 into -1
15.813 * [taylor]: Taking taylor expansion of kx in ky
15.813 * [backup-simplify]: Simplify kx into kx
15.813 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.813 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.813 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.813 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.813 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.813 * [taylor]: Taking taylor expansion of -1 in ky
15.813 * [backup-simplify]: Simplify -1 into -1
15.813 * [taylor]: Taking taylor expansion of kx in ky
15.813 * [backup-simplify]: Simplify kx into kx
15.813 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.813 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.813 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.813 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.813 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.813 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.813 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.813 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.813 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.813 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.813 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.814 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.814 * [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)))
15.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.814 * [backup-simplify]: Simplify (+ 0) into 0
15.814 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.815 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.815 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.816 * [backup-simplify]: Simplify (+ 0 0) into 0
15.816 * [backup-simplify]: Simplify (+ 0) into 0
15.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.816 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.817 * [backup-simplify]: Simplify (+ 0 0) into 0
15.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.818 * [backup-simplify]: Simplify (+ 0 0) into 0
15.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.818 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.818 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.818 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.818 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.818 * [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)))))
15.818 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.819 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.819 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.819 * [taylor]: Taking taylor expansion of (pow (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) 1/3) in ky
15.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))))) in ky
15.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))))) in ky
15.819 * [taylor]: Taking taylor expansion of 1/3 in ky
15.819 * [backup-simplify]: Simplify 1/3 into 1/3
15.819 * [taylor]: Taking taylor expansion of (log (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))) in ky
15.819 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
15.819 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.819 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.819 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.819 * [taylor]: Taking taylor expansion of -1 in ky
15.819 * [backup-simplify]: Simplify -1 into -1
15.819 * [taylor]: Taking taylor expansion of th in ky
15.819 * [backup-simplify]: Simplify th into th
15.819 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.819 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.819 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.819 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.819 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.819 * [taylor]: Taking taylor expansion of -1 in ky
15.819 * [backup-simplify]: Simplify -1 into -1
15.819 * [taylor]: Taking taylor expansion of ky in ky
15.820 * [backup-simplify]: Simplify 0 into 0
15.820 * [backup-simplify]: Simplify 1 into 1
15.820 * [backup-simplify]: Simplify (/ -1 1) into -1
15.820 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.820 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
15.820 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
15.820 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
15.820 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.820 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.820 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.820 * [taylor]: Taking taylor expansion of -1 in ky
15.820 * [backup-simplify]: Simplify -1 into -1
15.820 * [taylor]: Taking taylor expansion of ky in ky
15.820 * [backup-simplify]: Simplify 0 into 0
15.820 * [backup-simplify]: Simplify 1 into 1
15.820 * [backup-simplify]: Simplify (/ -1 1) into -1
15.820 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.820 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.820 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.821 * [taylor]: Taking taylor expansion of -1 in ky
15.821 * [backup-simplify]: Simplify -1 into -1
15.821 * [taylor]: Taking taylor expansion of ky in ky
15.821 * [backup-simplify]: Simplify 0 into 0
15.821 * [backup-simplify]: Simplify 1 into 1
15.821 * [backup-simplify]: Simplify (/ -1 1) into -1
15.821 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.821 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.821 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.821 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.821 * [taylor]: Taking taylor expansion of -1 in ky
15.821 * [backup-simplify]: Simplify -1 into -1
15.821 * [taylor]: Taking taylor expansion of kx in ky
15.821 * [backup-simplify]: Simplify kx into kx
15.821 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.821 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.821 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.821 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.821 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.821 * [taylor]: Taking taylor expansion of -1 in ky
15.821 * [backup-simplify]: Simplify -1 into -1
15.821 * [taylor]: Taking taylor expansion of kx in ky
15.821 * [backup-simplify]: Simplify kx into kx
15.821 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.821 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.821 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.821 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.821 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.822 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.822 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.822 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.822 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.822 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.822 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.822 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.822 * [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)))
15.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.822 * [backup-simplify]: Simplify (+ 0) into 0
15.823 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.823 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.824 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.824 * [backup-simplify]: Simplify (+ 0 0) into 0
15.824 * [backup-simplify]: Simplify (+ 0) into 0
15.824 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.825 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.826 * [backup-simplify]: Simplify (+ 0 0) into 0
15.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.826 * [backup-simplify]: Simplify (+ 0 0) into 0
15.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.826 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.826 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.826 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.826 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.827 * [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)))))
15.827 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.827 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.827 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.827 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) in kx
15.828 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) in kx
15.828 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) in kx
15.828 * [taylor]: Taking taylor expansion of 1/3 in kx
15.828 * [backup-simplify]: Simplify 1/3 into 1/3
15.828 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in kx
15.828 * [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
15.828 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.828 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.828 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.828 * [taylor]: Taking taylor expansion of -1 in kx
15.828 * [backup-simplify]: Simplify -1 into -1
15.828 * [taylor]: Taking taylor expansion of th in kx
15.828 * [backup-simplify]: Simplify th into th
15.828 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.828 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.828 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.828 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.828 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.828 * [taylor]: Taking taylor expansion of -1 in kx
15.828 * [backup-simplify]: Simplify -1 into -1
15.828 * [taylor]: Taking taylor expansion of ky in kx
15.828 * [backup-simplify]: Simplify ky into ky
15.828 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.828 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.828 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.828 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.828 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.828 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.828 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.828 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.828 * [taylor]: Taking taylor expansion of -1 in kx
15.828 * [backup-simplify]: Simplify -1 into -1
15.828 * [taylor]: Taking taylor expansion of kx in kx
15.828 * [backup-simplify]: Simplify 0 into 0
15.828 * [backup-simplify]: Simplify 1 into 1
15.828 * [backup-simplify]: Simplify (/ -1 1) into -1
15.829 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.829 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.829 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.829 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.829 * [taylor]: Taking taylor expansion of -1 in kx
15.829 * [backup-simplify]: Simplify -1 into -1
15.829 * [taylor]: Taking taylor expansion of ky in kx
15.829 * [backup-simplify]: Simplify ky into ky
15.829 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.829 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.829 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.829 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.829 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.829 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.829 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.829 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.829 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.829 * [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)))
15.830 * [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))))
15.830 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.830 * [backup-simplify]: Simplify (+ 0) into 0
15.830 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.830 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.831 * [backup-simplify]: Simplify (+ 0 0) into 0
15.831 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.832 * [backup-simplify]: Simplify (+ 0 0) into 0
15.832 * [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
15.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.832 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.832 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.832 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.833 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.833 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.833 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.833 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.833 * [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)))))
15.833 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.833 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.834 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.834 * [taylor]: Taking taylor expansion of (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) in th
15.834 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) in th
15.834 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) in th
15.834 * [taylor]: Taking taylor expansion of 1/3 in th
15.834 * [backup-simplify]: Simplify 1/3 into 1/3
15.834 * [taylor]: Taking taylor expansion of (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in th
15.834 * [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
15.834 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
15.834 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
15.834 * [taylor]: Taking taylor expansion of (/ -1 th) in th
15.834 * [taylor]: Taking taylor expansion of -1 in th
15.834 * [backup-simplify]: Simplify -1 into -1
15.834 * [taylor]: Taking taylor expansion of th in th
15.834 * [backup-simplify]: Simplify 0 into 0
15.834 * [backup-simplify]: Simplify 1 into 1
15.834 * [backup-simplify]: Simplify (/ -1 1) into -1
15.834 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.834 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.834 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.834 * [taylor]: Taking taylor expansion of -1 in th
15.834 * [backup-simplify]: Simplify -1 into -1
15.834 * [taylor]: Taking taylor expansion of ky in th
15.834 * [backup-simplify]: Simplify ky into ky
15.835 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.835 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.835 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
15.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
15.835 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
15.835 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
15.835 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
15.835 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
15.835 * [taylor]: Taking taylor expansion of -1 in th
15.835 * [backup-simplify]: Simplify -1 into -1
15.835 * [taylor]: Taking taylor expansion of kx in th
15.835 * [backup-simplify]: Simplify kx into kx
15.835 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.835 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.835 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.835 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.835 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.835 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.835 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
15.835 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
15.835 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
15.835 * [taylor]: Taking taylor expansion of -1 in th
15.835 * [backup-simplify]: Simplify -1 into -1
15.835 * [taylor]: Taking taylor expansion of ky in th
15.835 * [backup-simplify]: Simplify ky into ky
15.835 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.835 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.835 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.835 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.835 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.835 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.835 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.836 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.836 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.836 * [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)))
15.836 * [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))))
15.836 * [backup-simplify]: Simplify (+ 0) into 0
15.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.837 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.838 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.838 * [backup-simplify]: Simplify (+ 0 0) into 0
15.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.838 * [backup-simplify]: Simplify (+ 0) into 0
15.839 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.839 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.840 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.841 * [backup-simplify]: Simplify (+ 0 0) into 0
15.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.841 * [backup-simplify]: Simplify (+ 0 0) into 0
15.842 * [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
15.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.842 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.842 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.843 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.843 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.843 * [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)))))
15.844 * [backup-simplify]: Simplify (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))
15.844 * [backup-simplify]: Simplify (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))
15.845 * [backup-simplify]: Simplify (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.845 * [backup-simplify]: Simplify (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3) into (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1/3)
15.846 * [backup-simplify]: Simplify (+ 0) into 0
15.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.847 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.849 * [backup-simplify]: Simplify (+ 0 0) into 0
15.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.850 * [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
15.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.852 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.854 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.854 * [taylor]: Taking taylor expansion of 0 in kx
15.854 * [backup-simplify]: Simplify 0 into 0
15.854 * [taylor]: Taking taylor expansion of 0 in th
15.854 * [backup-simplify]: Simplify 0 into 0
15.854 * [backup-simplify]: Simplify 0 into 0
15.854 * [backup-simplify]: Simplify (+ 0) into 0
15.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.855 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.857 * [backup-simplify]: Simplify (+ 0 0) into 0
15.857 * [backup-simplify]: Simplify (+ 0) into 0
15.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.858 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.859 * [backup-simplify]: Simplify (+ 0 0) into 0
15.860 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.860 * [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
15.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.864 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.864 * [taylor]: Taking taylor expansion of 0 in th
15.864 * [backup-simplify]: Simplify 0 into 0
15.864 * [backup-simplify]: Simplify 0 into 0
15.864 * [backup-simplify]: Simplify (+ 0) into 0
15.865 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.865 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.867 * [backup-simplify]: Simplify (+ 0 0) into 0
15.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.867 * [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
15.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 1) into 0
15.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) into 0
15.871 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.871 * [backup-simplify]: Simplify 0 into 0
15.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.873 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.874 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.875 * [backup-simplify]: Simplify (+ 0 0) into 0
15.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.877 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.878 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.878 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.879 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.880 * [backup-simplify]: Simplify (+ 0 0) into 0
15.880 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.881 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.883 * [backup-simplify]: Simplify (+ 0 0) into 0
15.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.890 * [backup-simplify]: Simplify (+ 0 0) into 0
15.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.892 * [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
15.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 2) into 0
15.896 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))))) into 0
15.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.898 * [taylor]: Taking taylor expansion of 0 in kx
15.898 * [backup-simplify]: Simplify 0 into 0
15.898 * [taylor]: Taking taylor expansion of 0 in th
15.898 * [backup-simplify]: Simplify 0 into 0
15.898 * [backup-simplify]: Simplify 0 into 0
15.899 * [taylor]: Taking taylor expansion of 0 in th
15.899 * [backup-simplify]: Simplify 0 into 0
15.899 * [backup-simplify]: Simplify 0 into 0
15.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.900 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.901 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.902 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.902 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.903 * [backup-simplify]: Simplify (+ 0 0) into 0
15.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.904 * [backup-simplify]: Simplify (+ 0 0) into 0
15.905 * [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
15.906 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.908 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.909 * [backup-simplify]: Simplify (+ 0 0) into 0
15.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.911 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.911 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.913 * [backup-simplify]: Simplify (+ 0 0) into 0
15.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.914 * [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
15.917 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) 1)))) 2) into 0
15.918 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))))) into 0
15.920 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.920 * [taylor]: Taking taylor expansion of 0 in th
15.920 * [backup-simplify]: Simplify 0 into 0
15.920 * [backup-simplify]: Simplify 0 into 0
15.921 * [backup-simplify]: Simplify (pow (* (* (sin (/ -1 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) 1/3) into (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
15.921 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
15.921 * [backup-simplify]: Simplify (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) into (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) 1/3)
15.921 * [approximate]: Taking taylor expansion of (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in (ky kx th) around 0
15.921 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in th
15.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))))) in th
15.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)))) in th
15.922 * [taylor]: Taking taylor expansion of 1/3 in th
15.922 * [backup-simplify]: Simplify 1/3 into 1/3
15.922 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))) in th
15.922 * [taylor]: Taking taylor expansion of (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) in th
15.922 * [taylor]: Taking taylor expansion of (* (pow (sin th) 2) (pow (sin ky) 2)) in th
15.922 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in th
15.922 * [taylor]: Taking taylor expansion of (sin th) in th
15.922 * [taylor]: Taking taylor expansion of th in th
15.922 * [backup-simplify]: Simplify 0 into 0
15.922 * [backup-simplify]: Simplify 1 into 1
15.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.923 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in th
15.923 * [taylor]: Taking taylor expansion of (sin ky) in th
15.923 * [taylor]: Taking taylor expansion of ky in th
15.923 * [backup-simplify]: Simplify ky into ky
15.923 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.923 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.923 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.923 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.923 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.923 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in th
15.923 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
15.924 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.924 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
15.924 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
15.924 * [taylor]: Taking taylor expansion of (sin ky) in th
15.924 * [taylor]: Taking taylor expansion of ky in th
15.924 * [backup-simplify]: Simplify ky into ky
15.924 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.924 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.924 * [taylor]: Taking taylor expansion of (sin ky) in th
15.924 * [taylor]: Taking taylor expansion of ky in th
15.924 * [backup-simplify]: Simplify ky into ky
15.924 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.924 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.924 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
15.924 * [taylor]: Taking taylor expansion of (sin kx) in th
15.924 * [taylor]: Taking taylor expansion of kx in th
15.924 * [backup-simplify]: Simplify kx into kx
15.924 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.924 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.924 * [taylor]: Taking taylor expansion of (sin kx) in th
15.924 * [taylor]: Taking taylor expansion of kx in th
15.924 * [backup-simplify]: Simplify kx into kx
15.924 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.924 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.924 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.924 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.924 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.925 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.925 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.925 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.925 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.925 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.925 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.925 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.925 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.925 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.925 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.925 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.925 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.926 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.926 * [backup-simplify]: Simplify (+ 0) into 0
15.927 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.928 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.928 * [backup-simplify]: Simplify (+ 0 0) into 0
15.929 * [backup-simplify]: Simplify (+ 0) into 0
15.929 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.931 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.931 * [backup-simplify]: Simplify (+ 0 0) into 0
15.931 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.931 * [backup-simplify]: Simplify (+ 0) into 0
15.931 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.932 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.932 * [backup-simplify]: Simplify (+ 0 0) into 0
15.933 * [backup-simplify]: Simplify (+ 0) into 0
15.933 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.934 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.934 * [backup-simplify]: Simplify (+ 0 0) into 0
15.934 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.934 * [backup-simplify]: Simplify (+ 0 0) into 0
15.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
15.935 * [backup-simplify]: Simplify (* 1 1) into 1
15.935 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.935 * [backup-simplify]: Simplify (* 1 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.935 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
15.935 * [backup-simplify]: Simplify (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2)))
15.936 * [backup-simplify]: Simplify (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))))
15.936 * [backup-simplify]: Simplify (+ (* (- -2) (log th)) (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into (+ (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* 2 (log th)))
15.936 * [backup-simplify]: Simplify (* 1/3 (+ (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* 2 (log th)))) into (* 1/3 (+ (* 2 (log th)) (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))))))
15.937 * [backup-simplify]: Simplify (exp (* 1/3 (+ (* 2 (log th)) (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into (exp (* 1/3 (+ (log (/ (pow (sin ky) 2) (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* 2 (log th)))))
15.937 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in kx
15.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))))) in kx
15.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)))) in kx
15.937 * [taylor]: Taking taylor expansion of 1/3 in kx
15.937 * [backup-simplify]: Simplify 1/3 into 1/3
15.937 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))) in kx
15.937 * [taylor]: Taking taylor expansion of (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) in kx
15.937 * [taylor]: Taking taylor expansion of (* (pow (sin th) 2) (pow (sin ky) 2)) in kx
15.937 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in kx
15.937 * [taylor]: Taking taylor expansion of (sin th) in kx
15.937 * [taylor]: Taking taylor expansion of th in kx
15.937 * [backup-simplify]: Simplify th into th
15.937 * [backup-simplify]: Simplify (sin th) into (sin th)
15.937 * [backup-simplify]: Simplify (cos th) into (cos th)
15.937 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.937 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.937 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.937 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx
15.937 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.937 * [taylor]: Taking taylor expansion of ky in kx
15.937 * [backup-simplify]: Simplify ky into ky
15.937 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.937 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.937 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.937 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.937 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.937 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in kx
15.937 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
15.937 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.937 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
15.937 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.937 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.937 * [taylor]: Taking taylor expansion of ky in kx
15.937 * [backup-simplify]: Simplify ky into ky
15.937 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.937 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.937 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.937 * [taylor]: Taking taylor expansion of ky in kx
15.937 * [backup-simplify]: Simplify ky into ky
15.937 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.937 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.937 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.937 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.938 * [taylor]: Taking taylor expansion of kx in kx
15.938 * [backup-simplify]: Simplify 0 into 0
15.938 * [backup-simplify]: Simplify 1 into 1
15.938 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.938 * [taylor]: Taking taylor expansion of kx in kx
15.938 * [backup-simplify]: Simplify 0 into 0
15.938 * [backup-simplify]: Simplify 1 into 1
15.938 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.938 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.938 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.938 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.938 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.938 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.938 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.938 * [backup-simplify]: Simplify (* 0 0) into 0
15.938 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
15.938 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.939 * [backup-simplify]: Simplify (+ 0) into 0
15.939 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.940 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.940 * [backup-simplify]: Simplify (+ 0 0) into 0
15.940 * [backup-simplify]: Simplify (+ 0) into 0
15.940 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.941 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.941 * [backup-simplify]: Simplify (+ 0 0) into 0
15.941 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.943 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.943 * [backup-simplify]: Simplify (+ 0 0) into 0
15.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.943 * [backup-simplify]: Simplify (* (sin th) (sin th)) into (pow (sin th) 2)
15.943 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.943 * [backup-simplify]: Simplify (* (pow (sin th) 2) (pow (sin ky) 2)) into (* (pow (sin th) 2) (pow (sin ky) 2))
15.943 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.944 * [backup-simplify]: Simplify (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (sin ky) 2)) into (pow (sin th) 2)
15.944 * [backup-simplify]: Simplify (log (pow (sin th) 2)) into (log (pow (sin th) 2))
15.944 * [backup-simplify]: Simplify (* 1/3 (log (pow (sin th) 2))) into (* 1/3 (log (pow (sin th) 2)))
15.944 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (sin th) 2)))) into (pow (pow (sin th) 2) 1/3)
15.944 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in ky
15.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))))) in ky
15.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)))) in ky
15.944 * [taylor]: Taking taylor expansion of 1/3 in ky
15.944 * [backup-simplify]: Simplify 1/3 into 1/3
15.944 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))) in ky
15.944 * [taylor]: Taking taylor expansion of (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) in ky
15.944 * [taylor]: Taking taylor expansion of (* (pow (sin th) 2) (pow (sin ky) 2)) in ky
15.944 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in ky
15.944 * [taylor]: Taking taylor expansion of (sin th) in ky
15.944 * [taylor]: Taking taylor expansion of th in ky
15.944 * [backup-simplify]: Simplify th into th
15.944 * [backup-simplify]: Simplify (sin th) into (sin th)
15.944 * [backup-simplify]: Simplify (cos th) into (cos th)
15.944 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.944 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.944 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.944 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
15.944 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.944 * [taylor]: Taking taylor expansion of ky in ky
15.944 * [backup-simplify]: Simplify 0 into 0
15.944 * [backup-simplify]: Simplify 1 into 1
15.945 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.945 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in ky
15.945 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.945 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.945 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.945 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.945 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.945 * [taylor]: Taking taylor expansion of ky in ky
15.945 * [backup-simplify]: Simplify 0 into 0
15.945 * [backup-simplify]: Simplify 1 into 1
15.945 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.945 * [taylor]: Taking taylor expansion of ky in ky
15.945 * [backup-simplify]: Simplify 0 into 0
15.945 * [backup-simplify]: Simplify 1 into 1
15.945 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.945 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.945 * [taylor]: Taking taylor expansion of kx in ky
15.945 * [backup-simplify]: Simplify kx into kx
15.945 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.945 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.945 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.945 * [taylor]: Taking taylor expansion of kx in ky
15.945 * [backup-simplify]: Simplify kx into kx
15.945 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.945 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.945 * [backup-simplify]: Simplify (* 0 0) into 0
15.945 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.945 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.945 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.946 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.946 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.946 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.946 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.946 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.946 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.947 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.947 * [backup-simplify]: Simplify (+ 0) into 0
15.948 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.948 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.949 * [backup-simplify]: Simplify (+ 0 0) into 0
15.949 * [backup-simplify]: Simplify (+ 0) into 0
15.949 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.950 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.950 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.950 * [backup-simplify]: Simplify (+ 0 0) into 0
15.950 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.950 * [backup-simplify]: Simplify (+ 0 0) into 0
15.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.951 * [backup-simplify]: Simplify (* (sin th) (sin th)) into (pow (sin th) 2)
15.951 * [backup-simplify]: Simplify (* 1 1) into 1
15.951 * [backup-simplify]: Simplify (* (pow (sin th) 2) 1) into (pow (sin th) 2)
15.951 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.951 * [backup-simplify]: Simplify (/ (pow (sin th) 2) (pow (sin kx) 2)) into (/ (pow (sin th) 2) (pow (sin kx) 2))
15.951 * [backup-simplify]: Simplify (log (/ (pow (sin th) 2) (pow (sin kx) 2))) into (log (/ (pow (sin th) 2) (pow (sin kx) 2)))
15.952 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))) into (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))
15.952 * [backup-simplify]: Simplify (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))) into (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))
15.952 * [backup-simplify]: Simplify (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) into (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))))
15.952 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) 1/3) in ky
15.952 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))))) in ky
15.952 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)))) in ky
15.952 * [taylor]: Taking taylor expansion of 1/3 in ky
15.952 * [backup-simplify]: Simplify 1/3 into 1/3
15.952 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2))) in ky
15.952 * [taylor]: Taking taylor expansion of (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (pow (hypot (sin ky) (sin kx)) 2)) in ky
15.952 * [taylor]: Taking taylor expansion of (* (pow (sin th) 2) (pow (sin ky) 2)) in ky
15.952 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in ky
15.953 * [taylor]: Taking taylor expansion of (sin th) in ky
15.953 * [taylor]: Taking taylor expansion of th in ky
15.953 * [backup-simplify]: Simplify th into th
15.953 * [backup-simplify]: Simplify (sin th) into (sin th)
15.953 * [backup-simplify]: Simplify (cos th) into (cos th)
15.953 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.953 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.953 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.953 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
15.953 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.953 * [taylor]: Taking taylor expansion of ky in ky
15.953 * [backup-simplify]: Simplify 0 into 0
15.953 * [backup-simplify]: Simplify 1 into 1
15.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.953 * [taylor]: Taking taylor expansion of (pow (hypot (sin ky) (sin kx)) 2) in ky
15.953 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
15.953 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
15.953 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
15.953 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.953 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.953 * [taylor]: Taking taylor expansion of ky in ky
15.953 * [backup-simplify]: Simplify 0 into 0
15.953 * [backup-simplify]: Simplify 1 into 1
15.953 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.953 * [taylor]: Taking taylor expansion of ky in ky
15.953 * [backup-simplify]: Simplify 0 into 0
15.953 * [backup-simplify]: Simplify 1 into 1
15.953 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.954 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.954 * [taylor]: Taking taylor expansion of kx in ky
15.954 * [backup-simplify]: Simplify kx into kx
15.954 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.954 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.954 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.954 * [taylor]: Taking taylor expansion of kx in ky
15.954 * [backup-simplify]: Simplify kx into kx
15.954 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.954 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.954 * [backup-simplify]: Simplify (* 0 0) into 0
15.954 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.954 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.954 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.954 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.954 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.954 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.954 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.954 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
15.954 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.956 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.956 * [backup-simplify]: Simplify (+ 0) into 0
15.956 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.957 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.957 * [backup-simplify]: Simplify (+ 0 0) into 0
15.957 * [backup-simplify]: Simplify (+ 0) into 0
15.958 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.958 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.959 * [backup-simplify]: Simplify (+ 0 0) into 0
15.959 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.959 * [backup-simplify]: Simplify (+ 0 0) into 0
15.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.960 * [backup-simplify]: Simplify (* (sin th) (sin th)) into (pow (sin th) 2)
15.960 * [backup-simplify]: Simplify (* 1 1) into 1
15.960 * [backup-simplify]: Simplify (* (pow (sin th) 2) 1) into (pow (sin th) 2)
15.960 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.960 * [backup-simplify]: Simplify (/ (pow (sin th) 2) (pow (sin kx) 2)) into (/ (pow (sin th) 2) (pow (sin kx) 2))
15.961 * [backup-simplify]: Simplify (log (/ (pow (sin th) 2) (pow (sin kx) 2))) into (log (/ (pow (sin th) 2) (pow (sin kx) 2)))
15.961 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))) into (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))
15.962 * [backup-simplify]: Simplify (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))) into (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))
15.962 * [backup-simplify]: Simplify (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) into (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))))
15.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) in kx
15.962 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))) in kx
15.962 * [taylor]: Taking taylor expansion of 1/3 in kx
15.962 * [backup-simplify]: Simplify 1/3 into 1/3
15.962 * [taylor]: Taking taylor expansion of (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))) in kx
15.962 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in kx
15.962 * [taylor]: Taking taylor expansion of 2 in kx
15.962 * [backup-simplify]: Simplify 2 into 2
15.962 * [taylor]: Taking taylor expansion of (log ky) in kx
15.962 * [taylor]: Taking taylor expansion of ky in kx
15.963 * [backup-simplify]: Simplify ky into ky
15.963 * [backup-simplify]: Simplify (log ky) into (log ky)
15.963 * [taylor]: Taking taylor expansion of (log (/ (pow (sin th) 2) (pow (sin kx) 2))) in kx
15.963 * [taylor]: Taking taylor expansion of (/ (pow (sin th) 2) (pow (sin kx) 2)) in kx
15.963 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in kx
15.963 * [taylor]: Taking taylor expansion of (sin th) in kx
15.963 * [taylor]: Taking taylor expansion of th in kx
15.963 * [backup-simplify]: Simplify th into th
15.963 * [backup-simplify]: Simplify (sin th) into (sin th)
15.963 * [backup-simplify]: Simplify (cos th) into (cos th)
15.963 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
15.963 * [backup-simplify]: Simplify (* (cos th) 0) into 0
15.963 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
15.963 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
15.963 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.963 * [taylor]: Taking taylor expansion of kx in kx
15.963 * [backup-simplify]: Simplify 0 into 0
15.963 * [backup-simplify]: Simplify 1 into 1
15.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.964 * [backup-simplify]: Simplify (* (sin th) (sin th)) into (pow (sin th) 2)
15.964 * [backup-simplify]: Simplify (* 1 1) into 1
15.965 * [backup-simplify]: Simplify (/ (pow (sin th) 2) 1) into (pow (sin th) 2)
15.965 * [backup-simplify]: Simplify (log (pow (sin th) 2)) into (log (pow (sin th) 2))
15.965 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
15.965 * [backup-simplify]: Simplify (+ (* (- 2) (log kx)) (log (pow (sin th) 2))) into (- (log (pow (sin th) 2)) (* 2 (log kx)))
15.966 * [backup-simplify]: Simplify (+ (* 2 (log ky)) (- (log (pow (sin th) 2)) (* 2 (log kx)))) into (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))
15.966 * [backup-simplify]: Simplify (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))) into (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))
15.966 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) into (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))
15.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) in th
15.966 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))) in th
15.966 * [taylor]: Taking taylor expansion of 1/3 in th
15.966 * [backup-simplify]: Simplify 1/3 into 1/3
15.966 * [taylor]: Taking taylor expansion of (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))) in th
15.966 * [taylor]: Taking taylor expansion of (+ (log (pow (sin th) 2)) (* 2 (log ky))) in th
15.966 * [taylor]: Taking taylor expansion of (log (pow (sin th) 2)) in th
15.966 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in th
15.967 * [taylor]: Taking taylor expansion of (sin th) in th
15.967 * [taylor]: Taking taylor expansion of th in th
15.967 * [backup-simplify]: Simplify 0 into 0
15.967 * [backup-simplify]: Simplify 1 into 1
15.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.968 * [backup-simplify]: Simplify (* 1 1) into 1
15.968 * [backup-simplify]: Simplify (log 1) into 0
15.968 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in th
15.968 * [taylor]: Taking taylor expansion of 2 in th
15.968 * [backup-simplify]: Simplify 2 into 2
15.968 * [taylor]: Taking taylor expansion of (log ky) in th
15.968 * [taylor]: Taking taylor expansion of ky in th
15.968 * [backup-simplify]: Simplify ky into ky
15.968 * [backup-simplify]: Simplify (log ky) into (log ky)
15.968 * [taylor]: Taking taylor expansion of (* 2 (log kx)) in th
15.968 * [taylor]: Taking taylor expansion of 2 in th
15.968 * [backup-simplify]: Simplify 2 into 2
15.968 * [taylor]: Taking taylor expansion of (log kx) in th
15.968 * [taylor]: Taking taylor expansion of kx in th
15.969 * [backup-simplify]: Simplify kx into kx
15.969 * [backup-simplify]: Simplify (log kx) into (log kx)
15.969 * [backup-simplify]: Simplify (+ (* (- -2) (log th)) 0) into (* 2 (log th))
15.969 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
15.969 * [backup-simplify]: Simplify (+ (* 2 (log th)) (* 2 (log ky))) into (+ (* 2 (log ky)) (* 2 (log th)))
15.969 * [backup-simplify]: Simplify (* 2 (log kx)) into (* 2 (log kx))
15.969 * [backup-simplify]: Simplify (- (* 2 (log kx))) into (- (* 2 (log kx)))
15.970 * [backup-simplify]: Simplify (+ (+ (* 2 (log ky)) (* 2 (log th))) (- (* 2 (log kx)))) into (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))
15.970 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))) into (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))
15.970 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) into (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))
15.970 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) into (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))
15.971 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.973 * [backup-simplify]: Simplify (+ 0) into 0
15.973 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.975 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.975 * [backup-simplify]: Simplify (+ 0 0) into 0
15.975 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 (sin th))) into 0
15.976 * [backup-simplify]: Simplify (+ (* (pow (sin th) 2) 0) (* 0 1)) into 0
15.976 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.976 * [backup-simplify]: Simplify (- (/ 0 (pow (sin kx) 2)) (+ (* (/ (pow (sin th) 2) (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
15.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (pow (sin th) 2) (pow (sin kx) 2)) 1)))) 1) into 0
15.978 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))) into (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))
15.978 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) into 0
15.980 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.980 * [taylor]: Taking taylor expansion of 0 in kx
15.980 * [backup-simplify]: Simplify 0 into 0
15.980 * [taylor]: Taking taylor expansion of 0 in th
15.980 * [backup-simplify]: Simplify 0 into 0
15.980 * [backup-simplify]: Simplify 0 into 0
15.981 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.981 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log ky))) into 0
15.982 * [backup-simplify]: Simplify (+ 0) into 0
15.982 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
15.983 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.984 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
15.984 * [backup-simplify]: Simplify (+ 0 0) into 0
15.984 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 (sin th))) into 0
15.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sin th) 2) (/ 0 1)))) into 0
15.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sin th) 2) 1)))) 1) into 0
15.989 * [backup-simplify]: Simplify (+ 0 0) into 0
15.989 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) into 0
15.990 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.990 * [taylor]: Taking taylor expansion of 0 in th
15.990 * [backup-simplify]: Simplify 0 into 0
15.990 * [backup-simplify]: Simplify 0 into 0
15.991 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
15.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
15.995 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log ky))) into 0
15.995 * [backup-simplify]: Simplify (+ 0 0) into 0
15.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow kx 1)))) 1) into 0
15.997 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log kx))) into 0
15.997 * [backup-simplify]: Simplify (- 0) into 0
15.997 * [backup-simplify]: Simplify (+ 0 0) into 0
15.998 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) into 0
15.999 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
15.999 * [backup-simplify]: Simplify 0 into 0
16.001 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.002 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
16.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.004 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
16.004 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.005 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
16.005 * [backup-simplify]: Simplify (+ 0 0) into 0
16.006 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 (sin th)))) into 0
16.007 * [backup-simplify]: Simplify (+ (* (pow (sin th) 2) -1/3) (+ (* 0 0) (* 0 1))) into (- (* 1/3 (pow (sin th) 2)))
16.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.008 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
16.010 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.011 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
16.012 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.012 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
16.013 * [backup-simplify]: Simplify (+ 0 0) into 0
16.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.014 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
16.015 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.016 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
16.016 * [backup-simplify]: Simplify (+ 0 0) into 0
16.017 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
16.017 * [backup-simplify]: Simplify (+ 1 0) into 1
16.018 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
16.019 * [backup-simplify]: Simplify (+ (* (sin kx) (/ 1/2 (sin kx))) (+ (* 0 0) (* (/ 1/2 (sin kx)) (sin kx)))) into 1
16.020 * [backup-simplify]: Simplify (- (/ (- (* 1/3 (pow (sin th) 2))) (pow (sin kx) 2)) (+ (* (/ (pow (sin th) 2) (pow (sin kx) 2)) (/ 1 (pow (sin kx) 2))) (* 0 (/ 0 (pow (sin kx) 2))))) into (- (+ (* 1/3 (/ (pow (sin th) 2) (pow (sin kx) 2))) (/ (pow (sin th) 2) (pow (sin kx) 4))))
16.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (pow (sin th) 2) (pow (sin kx) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/3 (/ (pow (sin th) 2) (pow (sin kx) 2))) (/ (pow (sin th) 2) (pow (sin kx) 4))))) 1)) (pow (/ (pow (sin th) 2) (pow (sin kx) 2)) 1)))) 2) into (* -1/2 (+ (* 2 (/ 1 (pow (sin kx) 2))) 2/3))
16.023 * [backup-simplify]: Simplify (+ (* (- -2) (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))) into (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))
16.024 * [backup-simplify]: Simplify (+ (* 1/3 (* -1/2 (+ (* 2 (/ 1 (pow (sin kx) 2))) 2/3))) (+ (* 0 0) (* 0 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))))) into (- (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9))
16.025 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9)) 1) 1)))) into (* -1 (* (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9)))
16.025 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9))) in kx
16.025 * [taylor]: Taking taylor expansion of -1 in kx
16.025 * [backup-simplify]: Simplify -1 into -1
16.025 * [taylor]: Taking taylor expansion of (* (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9)) in kx
16.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))))) in kx
16.026 * [taylor]: Taking taylor expansion of (* 1/3 (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2))))) in kx
16.026 * [taylor]: Taking taylor expansion of 1/3 in kx
16.026 * [backup-simplify]: Simplify 1/3 into 1/3
16.026 * [taylor]: Taking taylor expansion of (+ (* 2 (log ky)) (log (/ (pow (sin th) 2) (pow (sin kx) 2)))) in kx
16.026 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in kx
16.026 * [taylor]: Taking taylor expansion of 2 in kx
16.026 * [backup-simplify]: Simplify 2 into 2
16.026 * [taylor]: Taking taylor expansion of (log ky) in kx
16.026 * [taylor]: Taking taylor expansion of ky in kx
16.026 * [backup-simplify]: Simplify ky into ky
16.026 * [backup-simplify]: Simplify (log ky) into (log ky)
16.026 * [taylor]: Taking taylor expansion of (log (/ (pow (sin th) 2) (pow (sin kx) 2))) in kx
16.026 * [taylor]: Taking taylor expansion of (/ (pow (sin th) 2) (pow (sin kx) 2)) in kx
16.026 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in kx
16.026 * [taylor]: Taking taylor expansion of (sin th) in kx
16.026 * [taylor]: Taking taylor expansion of th in kx
16.026 * [backup-simplify]: Simplify th into th
16.026 * [backup-simplify]: Simplify (sin th) into (sin th)
16.026 * [backup-simplify]: Simplify (cos th) into (cos th)
16.026 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
16.026 * [backup-simplify]: Simplify (* (cos th) 0) into 0
16.026 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
16.026 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
16.026 * [taylor]: Taking taylor expansion of (sin kx) in kx
16.026 * [taylor]: Taking taylor expansion of kx in kx
16.026 * [backup-simplify]: Simplify 0 into 0
16.026 * [backup-simplify]: Simplify 1 into 1
16.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.027 * [backup-simplify]: Simplify (* (sin th) (sin th)) into (pow (sin th) 2)
16.028 * [backup-simplify]: Simplify (* 1 1) into 1
16.028 * [backup-simplify]: Simplify (/ (pow (sin th) 2) 1) into (pow (sin th) 2)
16.028 * [backup-simplify]: Simplify (log (pow (sin th) 2)) into (log (pow (sin th) 2))
16.028 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
16.029 * [backup-simplify]: Simplify (+ (* (- 2) (log kx)) (log (pow (sin th) 2))) into (- (log (pow (sin th) 2)) (* 2 (log kx)))
16.029 * [backup-simplify]: Simplify (+ (* 2 (log ky)) (- (log (pow (sin th) 2)) (* 2 (log kx)))) into (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))
16.029 * [backup-simplify]: Simplify (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))) into (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))
16.030 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) into (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))
16.030 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow (sin kx) 2))) 1/9) in kx
16.030 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow (sin kx) 2))) in kx
16.030 * [taylor]: Taking taylor expansion of 1/3 in kx
16.030 * [backup-simplify]: Simplify 1/3 into 1/3
16.030 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
16.030 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
16.030 * [taylor]: Taking taylor expansion of (sin kx) in kx
16.030 * [taylor]: Taking taylor expansion of kx in kx
16.030 * [backup-simplify]: Simplify 0 into 0
16.030 * [backup-simplify]: Simplify 1 into 1
16.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.038 * [backup-simplify]: Simplify (* 1 1) into 1
16.038 * [backup-simplify]: Simplify (/ 1 1) into 1
16.038 * [taylor]: Taking taylor expansion of 1/9 in kx
16.038 * [backup-simplify]: Simplify 1/9 into 1/9
16.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.041 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.042 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
16.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
16.044 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 1))) into 1/9
16.045 * [backup-simplify]: Simplify (+ 1/9 1/9) into 2/9
16.045 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow ky 1)))) 1) into 0
16.046 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log ky))) into 0
16.046 * [backup-simplify]: Simplify (+ 0) into 0
16.046 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
16.047 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.047 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
16.047 * [backup-simplify]: Simplify (+ 0 0) into 0
16.047 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 (sin th))) into 0
16.048 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
16.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sin th) 2) (/ 0 1)))) into 0
16.049 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (sin th) 2) 1)))) 1) into 0
16.049 * [backup-simplify]: Simplify (+ 0 0) into 0
16.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) into 0
16.051 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.051 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0
16.051 * [backup-simplify]: Simplify (+ 0 0) into 0
16.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
16.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log ky)))) into 0
16.053 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.054 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
16.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.055 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
16.055 * [backup-simplify]: Simplify (+ 0 0) into 0
16.055 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 (sin th)))) into 0
16.056 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.057 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
16.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sin th) 2) (/ -1/3 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow (sin th) 2))
16.058 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sin th) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/3 (pow (sin th) 2))) 1)) (pow (pow (sin th) 2) 1)))) 2) into 1/3
16.059 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
16.059 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))) into 1/9
16.060 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))))
16.061 * [backup-simplify]: Simplify (* 1/3 1) into 1/3
16.061 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3
16.061 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) 2/9) (+ (* 0 0) (* (* 1/9 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))) 1/3))) into (* 7/27 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))))
16.062 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) 0) (* 0 1/3)) into 0
16.062 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) 1/3) into (* 1/3 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))))
16.063 * [backup-simplify]: Simplify (+ (* -1 (* 7/27 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))))) (+ (* 0 0) (* 0 (* 1/3 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))))))) into (- (* 7/27 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))))
16.063 * [taylor]: Taking taylor expansion of (- (* 7/27 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))))) in th
16.063 * [taylor]: Taking taylor expansion of (* 7/27 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))) in th
16.063 * [taylor]: Taking taylor expansion of 7/27 in th
16.063 * [backup-simplify]: Simplify 7/27 into 7/27
16.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) in th
16.063 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))) in th
16.063 * [taylor]: Taking taylor expansion of 1/3 in th
16.063 * [backup-simplify]: Simplify 1/3 into 1/3
16.063 * [taylor]: Taking taylor expansion of (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))) in th
16.063 * [taylor]: Taking taylor expansion of (+ (log (pow (sin th) 2)) (* 2 (log ky))) in th
16.063 * [taylor]: Taking taylor expansion of (log (pow (sin th) 2)) in th
16.063 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in th
16.063 * [taylor]: Taking taylor expansion of (sin th) in th
16.063 * [taylor]: Taking taylor expansion of th in th
16.063 * [backup-simplify]: Simplify 0 into 0
16.063 * [backup-simplify]: Simplify 1 into 1
16.063 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.064 * [backup-simplify]: Simplify (* 1 1) into 1
16.064 * [backup-simplify]: Simplify (log 1) into 0
16.064 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in th
16.064 * [taylor]: Taking taylor expansion of 2 in th
16.064 * [backup-simplify]: Simplify 2 into 2
16.064 * [taylor]: Taking taylor expansion of (log ky) in th
16.064 * [taylor]: Taking taylor expansion of ky in th
16.064 * [backup-simplify]: Simplify ky into ky
16.064 * [backup-simplify]: Simplify (log ky) into (log ky)
16.064 * [taylor]: Taking taylor expansion of (* 2 (log kx)) in th
16.064 * [taylor]: Taking taylor expansion of 2 in th
16.064 * [backup-simplify]: Simplify 2 into 2
16.064 * [taylor]: Taking taylor expansion of (log kx) in th
16.064 * [taylor]: Taking taylor expansion of kx in th
16.064 * [backup-simplify]: Simplify kx into kx
16.064 * [backup-simplify]: Simplify (log kx) into (log kx)
16.064 * [backup-simplify]: Simplify (+ (* (- -2) (log th)) 0) into (* 2 (log th))
16.064 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
16.065 * [backup-simplify]: Simplify (+ (* 2 (log th)) (* 2 (log ky))) into (+ (* 2 (log ky)) (* 2 (log th)))
16.065 * [backup-simplify]: Simplify (* 2 (log kx)) into (* 2 (log kx))
16.065 * [backup-simplify]: Simplify (- (* 2 (log kx))) into (- (* 2 (log kx)))
16.065 * [backup-simplify]: Simplify (+ (+ (* 2 (log ky)) (* 2 (log th))) (- (* 2 (log kx)))) into (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))
16.065 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))) into (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))
16.065 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) into (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))
16.065 * [backup-simplify]: Simplify (* 7/27 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))) into (* 7/27 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))))
16.065 * [backup-simplify]: Simplify (- (* 7/27 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))))) into (- (* 7/27 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))))
16.065 * [backup-simplify]: Simplify (- (* 7/27 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))))) into (- (* 7/27 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))))
16.065 * [taylor]: Taking taylor expansion of 0 in th
16.066 * [backup-simplify]: Simplify 0 into 0
16.066 * [backup-simplify]: Simplify 0 into 0
16.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow ky 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow ky 1)))) 2) into 0
16.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log ky)))) into 0
16.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.069 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 1))) into 0
16.069 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.069 * [backup-simplify]: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 0))) into 0
16.070 * [backup-simplify]: Simplify (+ 0 0) into 0
16.070 * [backup-simplify]: Simplify (+ (* (sin th) 0) (+ (* 0 0) (* 0 (sin th)))) into 0
16.071 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
16.071 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
16.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sin th) 2) (/ -1/3 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow (sin th) 2))
16.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (sin th) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/3 (pow (sin th) 2))) 1)) (pow (pow (sin th) 2) 1)))) 2) into 1/3
16.074 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3
16.074 * [backup-simplify]: Simplify (+ (* 1/3 1/3) (+ (* 0 0) (* 0 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))) into 1/9
16.076 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/9 1) 1)))) into (* 1/9 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))))
16.076 * [taylor]: Taking taylor expansion of (* 1/9 (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))))) in th
16.076 * [taylor]: Taking taylor expansion of 1/9 in th
16.076 * [backup-simplify]: Simplify 1/9 into 1/9
16.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))))) in th
16.076 * [taylor]: Taking taylor expansion of (* 1/3 (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx)))) in th
16.076 * [taylor]: Taking taylor expansion of 1/3 in th
16.076 * [backup-simplify]: Simplify 1/3 into 1/3
16.076 * [taylor]: Taking taylor expansion of (- (+ (log (pow (sin th) 2)) (* 2 (log ky))) (* 2 (log kx))) in th
16.076 * [taylor]: Taking taylor expansion of (+ (log (pow (sin th) 2)) (* 2 (log ky))) in th
16.076 * [taylor]: Taking taylor expansion of (log (pow (sin th) 2)) in th
16.076 * [taylor]: Taking taylor expansion of (pow (sin th) 2) in th
16.076 * [taylor]: Taking taylor expansion of (sin th) in th
16.076 * [taylor]: Taking taylor expansion of th in th
16.076 * [backup-simplify]: Simplify 0 into 0
16.076 * [backup-simplify]: Simplify 1 into 1
16.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
16.077 * [backup-simplify]: Simplify (* 1 1) into 1
16.077 * [backup-simplify]: Simplify (log 1) into 0
16.078 * [taylor]: Taking taylor expansion of (* 2 (log ky)) in th
16.078 * [taylor]: Taking taylor expansion of 2 in th
16.078 * [backup-simplify]: Simplify 2 into 2
16.078 * [taylor]: Taking taylor expansion of (log ky) in th
16.078 * [taylor]: Taking taylor expansion of ky in th
16.078 * [backup-simplify]: Simplify ky into ky
16.078 * [backup-simplify]: Simplify (log ky) into (log ky)
16.078 * [taylor]: Taking taylor expansion of (* 2 (log kx)) in th
16.078 * [taylor]: Taking taylor expansion of 2 in th
16.078 * [backup-simplify]: Simplify 2 into 2
16.078 * [taylor]: Taking taylor expansion of (log kx) in th
16.078 * [taylor]: Taking taylor expansion of kx in th
16.078 * [backup-simplify]: Simplify kx into kx
16.078 * [backup-simplify]: Simplify (log kx) into (log kx)
16.078 * [backup-simplify]: Simplify (+ (* (- -2) (log th)) 0) into (* 2 (log th))
16.078 * [backup-simplify]: Simplify (* 2 (log ky)) into (* 2 (log ky))
16.079 * [backup-simplify]: Simplify (+ (* 2 (log th)) (* 2 (log ky))) into (+ (* 2 (log ky)) (* 2 (log th)))
16.079 * [backup-simplify]: Simplify (* 2 (log kx)) into (* 2 (log kx))
16.079 * [backup-simplify]: Simplify (- (* 2 (log kx))) into (- (* 2 (log kx)))
16.079 * [backup-simplify]: Simplify (+ (+ (* 2 (log ky)) (* 2 (log th))) (- (* 2 (log kx)))) into (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))
16.079 * [backup-simplify]: Simplify (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))) into (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))
16.079 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) into (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))
16.080 * [backup-simplify]: Simplify (* 1/9 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))) into (* 1/9 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))))
16.080 * [backup-simplify]: Simplify (* 1/9 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))) into (* 1/9 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))))
16.081 * [backup-simplify]: Simplify (+ (* (* 1/9 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx)))))) (pow (* 1 (* kx 1)) 2)) (+ (* (- (* 7/27 (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))))) (pow (* 1 (* 1 ky)) 2)) (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))))) into (- (+ (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (* 1/9 (* (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (pow kx 2)))) (* 7/27 (* (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (pow ky 2))))
16.082 * [backup-simplify]: Simplify (* (cbrt (* (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) (sin (/ 1 th)))) (cbrt (* (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) (sin (/ 1 th))))) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3)
16.082 * [approximate]: Taking taylor expansion of (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in (ky kx th) around 0
16.082 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in th
16.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in th
16.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in th
16.082 * [taylor]: Taking taylor expansion of 1/3 in th
16.082 * [backup-simplify]: Simplify 1/3 into 1/3
16.082 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in th
16.082 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in th
16.082 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) in th
16.082 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 th)) 2) in th
16.082 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
16.082 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.082 * [taylor]: Taking taylor expansion of th in th
16.082 * [backup-simplify]: Simplify 0 into 0
16.082 * [backup-simplify]: Simplify 1 into 1
16.083 * [backup-simplify]: Simplify (/ 1 1) into 1
16.083 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.083 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
16.083 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
16.083 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
16.083 * [taylor]: Taking taylor expansion of ky in th
16.083 * [backup-simplify]: Simplify ky into ky
16.083 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.083 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.083 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.084 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.084 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.084 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.084 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in th
16.084 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
16.084 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
16.084 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
16.084 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
16.084 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
16.084 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
16.084 * [taylor]: Taking taylor expansion of ky in th
16.084 * [backup-simplify]: Simplify ky into ky
16.084 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.084 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.084 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.084 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
16.084 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
16.084 * [taylor]: Taking taylor expansion of ky in th
16.084 * [backup-simplify]: Simplify ky into ky
16.084 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.085 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.085 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.085 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
16.085 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
16.085 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
16.085 * [taylor]: Taking taylor expansion of kx in th
16.085 * [backup-simplify]: Simplify kx into kx
16.085 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.085 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.085 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.085 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
16.085 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
16.085 * [taylor]: Taking taylor expansion of kx in th
16.085 * [backup-simplify]: Simplify kx into kx
16.085 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.085 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.085 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.085 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.085 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.085 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.086 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.086 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.086 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.086 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.086 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.086 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.086 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.086 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.086 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.086 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.087 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.087 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.087 * [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)))
16.088 * [backup-simplify]: Simplify (+ 0) into 0
16.088 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.089 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.090 * [backup-simplify]: Simplify (+ 0 0) into 0
16.090 * [backup-simplify]: Simplify (+ 0) into 0
16.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.093 * [backup-simplify]: Simplify (+ 0 0) into 0
16.093 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.094 * [backup-simplify]: Simplify (+ 0) into 0
16.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.095 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.096 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.096 * [backup-simplify]: Simplify (+ 0 0) into 0
16.096 * [backup-simplify]: Simplify (+ 0) into 0
16.097 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.099 * [backup-simplify]: Simplify (+ 0 0) into 0
16.099 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.099 * [backup-simplify]: Simplify (+ 0 0) into 0
16.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.100 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 th))) into (pow (sin (/ 1 th)) 2)
16.100 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.100 * [backup-simplify]: Simplify (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) into (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2))
16.101 * [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))
16.101 * [backup-simplify]: Simplify (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
16.102 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
16.102 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
16.103 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
16.103 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in kx
16.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in kx
16.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in kx
16.103 * [taylor]: Taking taylor expansion of 1/3 in kx
16.103 * [backup-simplify]: Simplify 1/3 into 1/3
16.103 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in kx
16.103 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in kx
16.103 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) in kx
16.103 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 th)) 2) in kx
16.103 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
16.103 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
16.103 * [taylor]: Taking taylor expansion of th in kx
16.103 * [backup-simplify]: Simplify th into th
16.103 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.103 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.103 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.103 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
16.103 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
16.103 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
16.103 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
16.103 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.103 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.103 * [taylor]: Taking taylor expansion of ky in kx
16.103 * [backup-simplify]: Simplify ky into ky
16.103 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.103 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.103 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.104 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.104 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.104 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.104 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in kx
16.104 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
16.104 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
16.104 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
16.104 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
16.104 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.104 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.104 * [taylor]: Taking taylor expansion of ky in kx
16.104 * [backup-simplify]: Simplify ky into ky
16.104 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.104 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.104 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.104 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.104 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.104 * [taylor]: Taking taylor expansion of ky in kx
16.104 * [backup-simplify]: Simplify ky into ky
16.104 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.104 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.104 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.104 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
16.104 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
16.104 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
16.104 * [taylor]: Taking taylor expansion of kx in kx
16.104 * [backup-simplify]: Simplify 0 into 0
16.104 * [backup-simplify]: Simplify 1 into 1
16.105 * [backup-simplify]: Simplify (/ 1 1) into 1
16.105 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.105 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
16.105 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
16.105 * [taylor]: Taking taylor expansion of kx in kx
16.105 * [backup-simplify]: Simplify 0 into 0
16.105 * [backup-simplify]: Simplify 1 into 1
16.105 * [backup-simplify]: Simplify (/ 1 1) into 1
16.105 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.105 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.105 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.105 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.105 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.105 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.105 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.105 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.105 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.106 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.106 * [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)))
16.106 * [backup-simplify]: Simplify (+ 0) into 0
16.106 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.107 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.108 * [backup-simplify]: Simplify (+ 0 0) into 0
16.108 * [backup-simplify]: Simplify (+ 0) into 0
16.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.109 * [backup-simplify]: Simplify (+ 0 0) into 0
16.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.110 * [backup-simplify]: Simplify (+ 0 0) into 0
16.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.110 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 th))) into (pow (sin (/ 1 th)) 2)
16.110 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.110 * [backup-simplify]: Simplify (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) into (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2))
16.111 * [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))
16.111 * [backup-simplify]: Simplify (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
16.111 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
16.112 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
16.112 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
16.112 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in ky
16.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in ky
16.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in ky
16.112 * [taylor]: Taking taylor expansion of 1/3 in ky
16.112 * [backup-simplify]: Simplify 1/3 into 1/3
16.112 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in ky
16.112 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in ky
16.112 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) in ky
16.112 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 th)) 2) in ky
16.112 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
16.112 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
16.112 * [taylor]: Taking taylor expansion of th in ky
16.112 * [backup-simplify]: Simplify th into th
16.112 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.112 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.112 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.112 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
16.113 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
16.113 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
16.113 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
16.113 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.113 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.113 * [taylor]: Taking taylor expansion of ky in ky
16.113 * [backup-simplify]: Simplify 0 into 0
16.113 * [backup-simplify]: Simplify 1 into 1
16.113 * [backup-simplify]: Simplify (/ 1 1) into 1
16.113 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.113 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in ky
16.113 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
16.113 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
16.113 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
16.113 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
16.113 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.113 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.113 * [taylor]: Taking taylor expansion of ky in ky
16.113 * [backup-simplify]: Simplify 0 into 0
16.113 * [backup-simplify]: Simplify 1 into 1
16.114 * [backup-simplify]: Simplify (/ 1 1) into 1
16.114 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.114 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.114 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.114 * [taylor]: Taking taylor expansion of ky in ky
16.114 * [backup-simplify]: Simplify 0 into 0
16.114 * [backup-simplify]: Simplify 1 into 1
16.114 * [backup-simplify]: Simplify (/ 1 1) into 1
16.114 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.114 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
16.114 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.114 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.114 * [taylor]: Taking taylor expansion of kx in ky
16.114 * [backup-simplify]: Simplify kx into kx
16.114 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.114 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.114 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.114 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.114 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.114 * [taylor]: Taking taylor expansion of kx in ky
16.114 * [backup-simplify]: Simplify kx into kx
16.114 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.114 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.114 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.114 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.115 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.115 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.115 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.115 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.115 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.115 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.115 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.115 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.115 * [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)))
16.116 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.116 * [backup-simplify]: Simplify (+ 0) into 0
16.116 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.117 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.117 * [backup-simplify]: Simplify (+ 0 0) into 0
16.118 * [backup-simplify]: Simplify (+ 0) into 0
16.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.119 * [backup-simplify]: Simplify (+ 0 0) into 0
16.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.119 * [backup-simplify]: Simplify (+ 0 0) into 0
16.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.120 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 th))) into (pow (sin (/ 1 th)) 2)
16.120 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.120 * [backup-simplify]: Simplify (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) into (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2))
16.120 * [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))
16.121 * [backup-simplify]: Simplify (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
16.121 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
16.121 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
16.122 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
16.122 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) 1/3) in ky
16.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))))) in ky
16.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)))) in ky
16.122 * [taylor]: Taking taylor expansion of 1/3 in ky
16.122 * [backup-simplify]: Simplify 1/3 into 1/3
16.122 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2))) in ky
16.122 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2)) in ky
16.122 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) in ky
16.122 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 th)) 2) in ky
16.122 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
16.122 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
16.122 * [taylor]: Taking taylor expansion of th in ky
16.122 * [backup-simplify]: Simplify th into th
16.122 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.122 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.122 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.122 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
16.122 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
16.122 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
16.122 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
16.122 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.122 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.122 * [taylor]: Taking taylor expansion of ky in ky
16.122 * [backup-simplify]: Simplify 0 into 0
16.122 * [backup-simplify]: Simplify 1 into 1
16.123 * [backup-simplify]: Simplify (/ 1 1) into 1
16.123 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.123 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) 2) in ky
16.123 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
16.123 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
16.123 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
16.123 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
16.123 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.123 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.123 * [taylor]: Taking taylor expansion of ky in ky
16.123 * [backup-simplify]: Simplify 0 into 0
16.123 * [backup-simplify]: Simplify 1 into 1
16.123 * [backup-simplify]: Simplify (/ 1 1) into 1
16.123 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.123 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
16.123 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
16.123 * [taylor]: Taking taylor expansion of ky in ky
16.123 * [backup-simplify]: Simplify 0 into 0
16.123 * [backup-simplify]: Simplify 1 into 1
16.124 * [backup-simplify]: Simplify (/ 1 1) into 1
16.124 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.124 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
16.124 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.124 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.124 * [taylor]: Taking taylor expansion of kx in ky
16.124 * [backup-simplify]: Simplify kx into kx
16.124 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.124 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.124 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.124 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
16.124 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
16.124 * [taylor]: Taking taylor expansion of kx in ky
16.124 * [backup-simplify]: Simplify kx into kx
16.124 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.124 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.124 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.124 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.124 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.124 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.124 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.124 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.124 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.125 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.125 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.125 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.125 * [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)))
16.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.125 * [backup-simplify]: Simplify (+ 0) into 0
16.126 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.126 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.126 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.127 * [backup-simplify]: Simplify (+ 0 0) into 0
16.127 * [backup-simplify]: Simplify (+ 0) into 0
16.127 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.128 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.128 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.129 * [backup-simplify]: Simplify (+ 0 0) into 0
16.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.129 * [backup-simplify]: Simplify (+ 0 0) into 0
16.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.129 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 th))) into (pow (sin (/ 1 th)) 2)
16.129 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.130 * [backup-simplify]: Simplify (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) into (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2))
16.130 * [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))
16.130 * [backup-simplify]: Simplify (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
16.131 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
16.131 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
16.131 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
16.131 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) in kx
16.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in kx
16.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
16.131 * [taylor]: Taking taylor expansion of 1/3 in kx
16.131 * [backup-simplify]: Simplify 1/3 into 1/3
16.131 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
16.131 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
16.131 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) in kx
16.131 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 th)) 2) in kx
16.131 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
16.131 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
16.131 * [taylor]: Taking taylor expansion of th in kx
16.131 * [backup-simplify]: Simplify th into th
16.131 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
16.132 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.132 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
16.132 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
16.132 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
16.132 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
16.132 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
16.132 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.132 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.132 * [taylor]: Taking taylor expansion of ky in kx
16.132 * [backup-simplify]: Simplify ky into ky
16.132 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.132 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.132 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.132 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.132 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.132 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.132 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
16.132 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
16.132 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
16.132 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
16.132 * [taylor]: Taking taylor expansion of kx in kx
16.132 * [backup-simplify]: Simplify 0 into 0
16.132 * [backup-simplify]: Simplify 1 into 1
16.133 * [backup-simplify]: Simplify (/ 1 1) into 1
16.133 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.133 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
16.133 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
16.133 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
16.133 * [taylor]: Taking taylor expansion of ky in kx
16.133 * [backup-simplify]: Simplify ky into ky
16.133 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.133 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.133 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.133 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.133 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.133 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.133 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 th))) into (pow (sin (/ 1 th)) 2)
16.133 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.133 * [backup-simplify]: Simplify (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) into (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2))
16.133 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.133 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.134 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.134 * [backup-simplify]: Simplify (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
16.134 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
16.134 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
16.135 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
16.135 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) in th
16.135 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) in th
16.135 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in th
16.135 * [taylor]: Taking taylor expansion of 1/3 in th
16.135 * [backup-simplify]: Simplify 1/3 into 1/3
16.135 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in th
16.135 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in th
16.135 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) in th
16.135 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 th)) 2) in th
16.135 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
16.135 * [taylor]: Taking taylor expansion of (/ 1 th) in th
16.135 * [taylor]: Taking taylor expansion of th in th
16.135 * [backup-simplify]: Simplify 0 into 0
16.135 * [backup-simplify]: Simplify 1 into 1
16.136 * [backup-simplify]: Simplify (/ 1 1) into 1
16.136 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
16.136 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
16.136 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
16.136 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
16.136 * [taylor]: Taking taylor expansion of ky in th
16.136 * [backup-simplify]: Simplify ky into ky
16.136 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.136 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.136 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.136 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.136 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.137 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.137 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in th
16.137 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in th
16.137 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
16.137 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
16.137 * [taylor]: Taking taylor expansion of kx in th
16.137 * [backup-simplify]: Simplify kx into kx
16.137 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
16.137 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
16.137 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
16.137 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
16.137 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
16.137 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
16.137 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in th
16.137 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
16.137 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
16.137 * [taylor]: Taking taylor expansion of ky in th
16.137 * [backup-simplify]: Simplify ky into ky
16.137 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
16.137 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
16.137 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
16.138 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
16.138 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
16.138 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
16.138 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 th))) into (pow (sin (/ 1 th)) 2)
16.138 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.138 * [backup-simplify]: Simplify (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) into (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2))
16.138 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
16.138 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
16.139 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
16.139 * [backup-simplify]: Simplify (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
16.140 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
16.140 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
16.141 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
16.141 * [backup-simplify]: Simplify (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3) into (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1/3)
16.142 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.142 * [backup-simplify]: Simplify (+ 0) into 0
16.143 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
16.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.144 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
16.145 * [backup-simplify]: Simplify (+ 0 0) into 0
16.145 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 th)))) into 0
16.145 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 th)) 2) 0) (* 0 (pow (sin (/ 1 ky)) 2))) into 0
16.146 * [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
16.147 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (* (pow (sin (/ 1 th)) 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
16.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
16.149 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
16.151 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.151 * [taylor]: Taking taylor expansion of 0 in kx
16.151 * [backup-simplify]: Simplify 0 into 0
16.151 * [taylor]: Taking taylor expansion of 0 in th
16.151 * [backup-simplify]: Simplify 0 into 0
16.151 * [backup-simplify]: Simplify 0 into 0
16.151 * [backup-simplify]: Simplify (+ 0) into 0
16.152 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.153 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.154 * [backup-simplify]: Simplify (+ 0 0) into 0
16.154 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.155 * [backup-simplify]: Simplify (+ 0) into 0
16.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
16.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
16.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
16.162 * [backup-simplify]: Simplify (+ 0 0) into 0
16.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 th)))) into 0
16.163 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 th)) 2) 0) (* 0 (pow (sin (/ 1 ky)) 2))) into 0
16.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.163 * [backup-simplify]: Simplify (+ 0) into 0
16.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.166 * [backup-simplify]: Simplify (+ 0 0) into 0
16.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.166 * [backup-simplify]: Simplify (+ 0 0) into 0
16.167 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (* (pow (sin (/ 1 th)) 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
16.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
16.168 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
16.169 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.169 * [taylor]: Taking taylor expansion of 0 in th
16.169 * [backup-simplify]: Simplify 0 into 0
16.169 * [backup-simplify]: Simplify 0 into 0
16.170 * [backup-simplify]: Simplify (+ 0) into 0
16.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.171 * [backup-simplify]: Simplify (+ 0 0) into 0
16.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 th)))) into 0
16.171 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 th)) 2) 0) (* 0 (pow (sin (/ 1 ky)) 2))) into 0
16.172 * [backup-simplify]: Simplify (+ 0) into 0
16.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
16.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
16.172 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.173 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
16.173 * [backup-simplify]: Simplify (+ 0 0) into 0
16.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
16.173 * [backup-simplify]: Simplify (+ 0) into 0
16.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
16.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
16.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
16.175 * [backup-simplify]: Simplify (+ 0 0) into 0
16.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
16.175 * [backup-simplify]: Simplify (+ 0 0) into 0
16.176 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (* (pow (sin (/ 1 th)) 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
16.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 1) into 0
16.177 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
16.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.178 * [backup-simplify]: Simplify 0 into 0
16.178 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
16.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.180 * [backup-simplify]: Simplify (+ 0 0) into 0
16.181 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 th))))) into 0
16.181 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 th)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 ky)) 2)))) into 0
16.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
16.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.183 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.183 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.184 * [backup-simplify]: Simplify (+ 0 0) into 0
16.184 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.185 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.186 * [backup-simplify]: Simplify (+ 0 0) into 0
16.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
16.186 * [backup-simplify]: Simplify (+ 0 0) into 0
16.187 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
16.188 * [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
16.188 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (* (pow (sin (/ 1 th)) 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
16.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (pow (sin (/ 1 th)) 2) (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 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
16.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
16.192 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (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
16.193 * [taylor]: Taking taylor expansion of 0 in kx
16.193 * [backup-simplify]: Simplify 0 into 0
16.193 * [taylor]: Taking taylor expansion of 0 in th
16.193 * [backup-simplify]: Simplify 0 into 0
16.193 * [backup-simplify]: Simplify 0 into 0
16.193 * [taylor]: Taking taylor expansion of 0 in th
16.193 * [backup-simplify]: Simplify 0 into 0
16.193 * [backup-simplify]: Simplify 0 into 0
16.193 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.195 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.195 * [backup-simplify]: Simplify (+ 0 0) into 0
16.195 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
16.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.198 * [backup-simplify]: Simplify (+ 0 0) into 0
16.198 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 th))))) into 0
16.198 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 th)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 ky)) 2)))) into 0
16.199 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
16.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.202 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.203 * [backup-simplify]: Simplify (+ 0 0) into 0
16.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
16.204 * [backup-simplify]: Simplify (+ 0 0) into 0
16.205 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (+ (* (/ (* (pow (sin (/ 1 th)) 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
16.208 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (pow (sin (/ 1 th)) 2) (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 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 1)))) 2) into 0
16.209 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (* (pow (sin (/ 1 th)) 2) (pow (sin (/ 1 ky)) 2)) (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
16.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ 1 th)) 2) (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
16.211 * [taylor]: Taking taylor expansion of 0 in th
16.211 * [backup-simplify]: Simplify 0 into 0
16.211 * [backup-simplify]: Simplify 0 into 0
16.212 * [backup-simplify]: Simplify (pow (/ (* (pow (sin (/ 1 (/ 1 th))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)) (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) 1/3) into (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
16.213 * [backup-simplify]: Simplify (* (cbrt (* (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) (sin (/ 1 (- th))))) (cbrt (* (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) (sin (/ 1 (- th)))))) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3)
16.213 * [approximate]: Taking taylor expansion of (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in (ky kx th) around 0
16.213 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in th
16.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in th
16.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in th
16.213 * [taylor]: Taking taylor expansion of 1/3 in th
16.213 * [backup-simplify]: Simplify 1/3 into 1/3
16.213 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in th
16.213 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in th
16.213 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) in th
16.213 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 th)) 2) in th
16.213 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
16.213 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.213 * [taylor]: Taking taylor expansion of -1 in th
16.213 * [backup-simplify]: Simplify -1 into -1
16.213 * [taylor]: Taking taylor expansion of th in th
16.213 * [backup-simplify]: Simplify 0 into 0
16.213 * [backup-simplify]: Simplify 1 into 1
16.214 * [backup-simplify]: Simplify (/ -1 1) into -1
16.214 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.214 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
16.214 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
16.214 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
16.214 * [taylor]: Taking taylor expansion of -1 in th
16.214 * [backup-simplify]: Simplify -1 into -1
16.214 * [taylor]: Taking taylor expansion of ky in th
16.214 * [backup-simplify]: Simplify ky into ky
16.214 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.214 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.214 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.214 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.215 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.215 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.215 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in th
16.215 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
16.215 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
16.215 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
16.215 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
16.215 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
16.215 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
16.215 * [taylor]: Taking taylor expansion of -1 in th
16.215 * [backup-simplify]: Simplify -1 into -1
16.215 * [taylor]: Taking taylor expansion of ky in th
16.215 * [backup-simplify]: Simplify ky into ky
16.215 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.215 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.215 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.215 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
16.215 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
16.215 * [taylor]: Taking taylor expansion of -1 in th
16.215 * [backup-simplify]: Simplify -1 into -1
16.215 * [taylor]: Taking taylor expansion of ky in th
16.215 * [backup-simplify]: Simplify ky into ky
16.215 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.216 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.216 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.216 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
16.216 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
16.216 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
16.216 * [taylor]: Taking taylor expansion of -1 in th
16.216 * [backup-simplify]: Simplify -1 into -1
16.216 * [taylor]: Taking taylor expansion of kx in th
16.216 * [backup-simplify]: Simplify kx into kx
16.216 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.216 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.216 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.216 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
16.216 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
16.216 * [taylor]: Taking taylor expansion of -1 in th
16.216 * [backup-simplify]: Simplify -1 into -1
16.216 * [taylor]: Taking taylor expansion of kx in th
16.216 * [backup-simplify]: Simplify kx into kx
16.216 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.216 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.216 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.216 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.217 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.217 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.217 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.217 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.217 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.217 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.217 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.217 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.217 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.217 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.217 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.218 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.218 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.218 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.218 * [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)))
16.219 * [backup-simplify]: Simplify (+ 0) into 0
16.219 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.220 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.221 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.221 * [backup-simplify]: Simplify (+ 0 0) into 0
16.222 * [backup-simplify]: Simplify (+ 0) into 0
16.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.223 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.224 * [backup-simplify]: Simplify (+ 0 0) into 0
16.224 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.225 * [backup-simplify]: Simplify (+ 0) into 0
16.225 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.225 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.226 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.227 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.227 * [backup-simplify]: Simplify (+ 0 0) into 0
16.228 * [backup-simplify]: Simplify (+ 0) into 0
16.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.228 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.230 * [backup-simplify]: Simplify (+ 0 0) into 0
16.230 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.230 * [backup-simplify]: Simplify (+ 0 0) into 0
16.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.231 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 th))) into (pow (sin (/ -1 th)) 2)
16.231 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.232 * [backup-simplify]: Simplify (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) into (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2))
16.232 * [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))
16.233 * [backup-simplify]: Simplify (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
16.233 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
16.234 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
16.234 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
16.234 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in kx
16.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in kx
16.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in kx
16.235 * [taylor]: Taking taylor expansion of 1/3 in kx
16.235 * [backup-simplify]: Simplify 1/3 into 1/3
16.235 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in kx
16.235 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in kx
16.235 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) in kx
16.235 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 th)) 2) in kx
16.235 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
16.235 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
16.235 * [taylor]: Taking taylor expansion of -1 in kx
16.235 * [backup-simplify]: Simplify -1 into -1
16.235 * [taylor]: Taking taylor expansion of th in kx
16.235 * [backup-simplify]: Simplify th into th
16.235 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.235 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.235 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.235 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
16.235 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
16.235 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
16.235 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
16.235 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.235 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.235 * [taylor]: Taking taylor expansion of -1 in kx
16.235 * [backup-simplify]: Simplify -1 into -1
16.235 * [taylor]: Taking taylor expansion of ky in kx
16.235 * [backup-simplify]: Simplify ky into ky
16.236 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.236 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.236 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.236 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.236 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.236 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.236 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in kx
16.236 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
16.236 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
16.236 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
16.236 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
16.236 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.236 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.236 * [taylor]: Taking taylor expansion of -1 in kx
16.236 * [backup-simplify]: Simplify -1 into -1
16.236 * [taylor]: Taking taylor expansion of ky in kx
16.236 * [backup-simplify]: Simplify ky into ky
16.236 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.236 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.236 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.237 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.237 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.237 * [taylor]: Taking taylor expansion of -1 in kx
16.237 * [backup-simplify]: Simplify -1 into -1
16.237 * [taylor]: Taking taylor expansion of ky in kx
16.237 * [backup-simplify]: Simplify ky into ky
16.237 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.237 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.237 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.237 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
16.237 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
16.237 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
16.237 * [taylor]: Taking taylor expansion of -1 in kx
16.237 * [backup-simplify]: Simplify -1 into -1
16.237 * [taylor]: Taking taylor expansion of kx in kx
16.237 * [backup-simplify]: Simplify 0 into 0
16.237 * [backup-simplify]: Simplify 1 into 1
16.238 * [backup-simplify]: Simplify (/ -1 1) into -1
16.238 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.238 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
16.238 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
16.238 * [taylor]: Taking taylor expansion of -1 in kx
16.238 * [backup-simplify]: Simplify -1 into -1
16.238 * [taylor]: Taking taylor expansion of kx in kx
16.238 * [backup-simplify]: Simplify 0 into 0
16.238 * [backup-simplify]: Simplify 1 into 1
16.238 * [backup-simplify]: Simplify (/ -1 1) into -1
16.239 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.239 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.239 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.239 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.239 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.239 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.239 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.239 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.239 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.240 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.240 * [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)))
16.240 * [backup-simplify]: Simplify (+ 0) into 0
16.241 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.241 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.242 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.243 * [backup-simplify]: Simplify (+ 0 0) into 0
16.243 * [backup-simplify]: Simplify (+ 0) into 0
16.244 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.244 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.246 * [backup-simplify]: Simplify (+ 0 0) into 0
16.247 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.247 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.247 * [backup-simplify]: Simplify (+ 0 0) into 0
16.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.248 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 th))) into (pow (sin (/ -1 th)) 2)
16.248 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.248 * [backup-simplify]: Simplify (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) into (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2))
16.249 * [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))
16.249 * [backup-simplify]: Simplify (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
16.250 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
16.250 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
16.251 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
16.251 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in ky
16.251 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in ky
16.251 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in ky
16.251 * [taylor]: Taking taylor expansion of 1/3 in ky
16.251 * [backup-simplify]: Simplify 1/3 into 1/3
16.251 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in ky
16.251 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in ky
16.251 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) in ky
16.251 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 th)) 2) in ky
16.251 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
16.251 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
16.251 * [taylor]: Taking taylor expansion of -1 in ky
16.251 * [backup-simplify]: Simplify -1 into -1
16.251 * [taylor]: Taking taylor expansion of th in ky
16.251 * [backup-simplify]: Simplify th into th
16.251 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.251 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.251 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.251 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
16.251 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
16.251 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
16.251 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
16.251 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.251 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.251 * [taylor]: Taking taylor expansion of -1 in ky
16.251 * [backup-simplify]: Simplify -1 into -1
16.251 * [taylor]: Taking taylor expansion of ky in ky
16.251 * [backup-simplify]: Simplify 0 into 0
16.251 * [backup-simplify]: Simplify 1 into 1
16.252 * [backup-simplify]: Simplify (/ -1 1) into -1
16.252 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.252 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in ky
16.252 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
16.252 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
16.252 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
16.252 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
16.252 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.252 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.252 * [taylor]: Taking taylor expansion of -1 in ky
16.252 * [backup-simplify]: Simplify -1 into -1
16.252 * [taylor]: Taking taylor expansion of ky in ky
16.252 * [backup-simplify]: Simplify 0 into 0
16.252 * [backup-simplify]: Simplify 1 into 1
16.252 * [backup-simplify]: Simplify (/ -1 1) into -1
16.253 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.253 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.253 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.253 * [taylor]: Taking taylor expansion of -1 in ky
16.253 * [backup-simplify]: Simplify -1 into -1
16.253 * [taylor]: Taking taylor expansion of ky in ky
16.253 * [backup-simplify]: Simplify 0 into 0
16.253 * [backup-simplify]: Simplify 1 into 1
16.253 * [backup-simplify]: Simplify (/ -1 1) into -1
16.253 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.253 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
16.253 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.253 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.253 * [taylor]: Taking taylor expansion of -1 in ky
16.253 * [backup-simplify]: Simplify -1 into -1
16.253 * [taylor]: Taking taylor expansion of kx in ky
16.253 * [backup-simplify]: Simplify kx into kx
16.253 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.253 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.253 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.253 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.253 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.253 * [taylor]: Taking taylor expansion of -1 in ky
16.253 * [backup-simplify]: Simplify -1 into -1
16.253 * [taylor]: Taking taylor expansion of kx in ky
16.253 * [backup-simplify]: Simplify kx into kx
16.253 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.253 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.253 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.254 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.254 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.254 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.254 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.254 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.254 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.254 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.254 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.254 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.254 * [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)))
16.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.255 * [backup-simplify]: Simplify (+ 0) into 0
16.255 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.255 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.256 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.256 * [backup-simplify]: Simplify (+ 0 0) into 0
16.256 * [backup-simplify]: Simplify (+ 0) into 0
16.257 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.257 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.258 * [backup-simplify]: Simplify (+ 0 0) into 0
16.258 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.258 * [backup-simplify]: Simplify (+ 0 0) into 0
16.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.258 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 th))) into (pow (sin (/ -1 th)) 2)
16.258 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.259 * [backup-simplify]: Simplify (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) into (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2))
16.259 * [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))
16.259 * [backup-simplify]: Simplify (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
16.260 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
16.260 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
16.260 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
16.260 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) 1/3) in ky
16.260 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))))) in ky
16.260 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)))) in ky
16.260 * [taylor]: Taking taylor expansion of 1/3 in ky
16.260 * [backup-simplify]: Simplify 1/3 into 1/3
16.260 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2))) in ky
16.260 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2)) in ky
16.260 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) in ky
16.260 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 th)) 2) in ky
16.260 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
16.260 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
16.260 * [taylor]: Taking taylor expansion of -1 in ky
16.260 * [backup-simplify]: Simplify -1 into -1
16.260 * [taylor]: Taking taylor expansion of th in ky
16.261 * [backup-simplify]: Simplify th into th
16.261 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.261 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.261 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.261 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
16.261 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
16.261 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
16.261 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
16.261 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.261 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.261 * [taylor]: Taking taylor expansion of -1 in ky
16.261 * [backup-simplify]: Simplify -1 into -1
16.261 * [taylor]: Taking taylor expansion of ky in ky
16.261 * [backup-simplify]: Simplify 0 into 0
16.261 * [backup-simplify]: Simplify 1 into 1
16.261 * [backup-simplify]: Simplify (/ -1 1) into -1
16.261 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.261 * [taylor]: Taking taylor expansion of (pow (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) 2) in ky
16.261 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
16.261 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
16.261 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
16.261 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
16.262 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.262 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.262 * [taylor]: Taking taylor expansion of -1 in ky
16.262 * [backup-simplify]: Simplify -1 into -1
16.262 * [taylor]: Taking taylor expansion of ky in ky
16.262 * [backup-simplify]: Simplify 0 into 0
16.262 * [backup-simplify]: Simplify 1 into 1
16.262 * [backup-simplify]: Simplify (/ -1 1) into -1
16.262 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.262 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
16.262 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
16.262 * [taylor]: Taking taylor expansion of -1 in ky
16.262 * [backup-simplify]: Simplify -1 into -1
16.262 * [taylor]: Taking taylor expansion of ky in ky
16.262 * [backup-simplify]: Simplify 0 into 0
16.262 * [backup-simplify]: Simplify 1 into 1
16.262 * [backup-simplify]: Simplify (/ -1 1) into -1
16.262 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.262 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
16.262 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.262 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.262 * [taylor]: Taking taylor expansion of -1 in ky
16.262 * [backup-simplify]: Simplify -1 into -1
16.263 * [taylor]: Taking taylor expansion of kx in ky
16.263 * [backup-simplify]: Simplify kx into kx
16.263 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.263 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.263 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.263 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
16.263 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
16.263 * [taylor]: Taking taylor expansion of -1 in ky
16.263 * [backup-simplify]: Simplify -1 into -1
16.263 * [taylor]: Taking taylor expansion of kx in ky
16.263 * [backup-simplify]: Simplify kx into kx
16.263 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.263 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.263 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.263 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.263 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.263 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.263 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.263 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.263 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.263 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.263 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.263 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.264 * [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)))
16.264 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.264 * [backup-simplify]: Simplify (+ 0) into 0
16.264 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.265 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.266 * [backup-simplify]: Simplify (+ 0 0) into 0
16.266 * [backup-simplify]: Simplify (+ 0) into 0
16.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.266 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.268 * [backup-simplify]: Simplify (+ 0 0) into 0
16.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.268 * [backup-simplify]: Simplify (+ 0 0) into 0
16.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.268 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 th))) into (pow (sin (/ -1 th)) 2)
16.269 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.269 * [backup-simplify]: Simplify (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) into (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2))
16.269 * [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))
16.269 * [backup-simplify]: Simplify (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
16.270 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
16.270 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
16.270 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
16.270 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) in kx
16.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in kx
16.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
16.271 * [taylor]: Taking taylor expansion of 1/3 in kx
16.271 * [backup-simplify]: Simplify 1/3 into 1/3
16.271 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
16.271 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
16.271 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) in kx
16.271 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 th)) 2) in kx
16.271 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
16.271 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
16.271 * [taylor]: Taking taylor expansion of -1 in kx
16.271 * [backup-simplify]: Simplify -1 into -1
16.271 * [taylor]: Taking taylor expansion of th in kx
16.271 * [backup-simplify]: Simplify th into th
16.271 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
16.271 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.271 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
16.271 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
16.271 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
16.271 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
16.271 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
16.271 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.271 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.271 * [taylor]: Taking taylor expansion of -1 in kx
16.271 * [backup-simplify]: Simplify -1 into -1
16.271 * [taylor]: Taking taylor expansion of ky in kx
16.271 * [backup-simplify]: Simplify ky into ky
16.271 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.271 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.271 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.271 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.271 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.271 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.271 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
16.271 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
16.271 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
16.271 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
16.271 * [taylor]: Taking taylor expansion of -1 in kx
16.271 * [backup-simplify]: Simplify -1 into -1
16.271 * [taylor]: Taking taylor expansion of kx in kx
16.271 * [backup-simplify]: Simplify 0 into 0
16.271 * [backup-simplify]: Simplify 1 into 1
16.272 * [backup-simplify]: Simplify (/ -1 1) into -1
16.272 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.272 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
16.272 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
16.272 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
16.272 * [taylor]: Taking taylor expansion of -1 in kx
16.272 * [backup-simplify]: Simplify -1 into -1
16.272 * [taylor]: Taking taylor expansion of ky in kx
16.272 * [backup-simplify]: Simplify ky into ky
16.272 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.272 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.272 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.272 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.272 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.272 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.272 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 th))) into (pow (sin (/ -1 th)) 2)
16.272 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.273 * [backup-simplify]: Simplify (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) into (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2))
16.273 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.273 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.273 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.273 * [backup-simplify]: Simplify (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
16.274 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
16.274 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
16.274 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
16.274 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) in th
16.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) in th
16.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in th
16.274 * [taylor]: Taking taylor expansion of 1/3 in th
16.274 * [backup-simplify]: Simplify 1/3 into 1/3
16.274 * [taylor]: Taking taylor expansion of (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in th
16.274 * [taylor]: Taking taylor expansion of (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in th
16.275 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) in th
16.275 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 th)) 2) in th
16.275 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
16.275 * [taylor]: Taking taylor expansion of (/ -1 th) in th
16.275 * [taylor]: Taking taylor expansion of -1 in th
16.275 * [backup-simplify]: Simplify -1 into -1
16.275 * [taylor]: Taking taylor expansion of th in th
16.275 * [backup-simplify]: Simplify 0 into 0
16.275 * [backup-simplify]: Simplify 1 into 1
16.275 * [backup-simplify]: Simplify (/ -1 1) into -1
16.275 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
16.275 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
16.275 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
16.275 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
16.275 * [taylor]: Taking taylor expansion of -1 in th
16.275 * [backup-simplify]: Simplify -1 into -1
16.275 * [taylor]: Taking taylor expansion of ky in th
16.275 * [backup-simplify]: Simplify ky into ky
16.275 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.275 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.276 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.276 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.276 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.276 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.276 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in th
16.276 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in th
16.276 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
16.276 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
16.276 * [taylor]: Taking taylor expansion of -1 in th
16.276 * [backup-simplify]: Simplify -1 into -1
16.276 * [taylor]: Taking taylor expansion of kx in th
16.276 * [backup-simplify]: Simplify kx into kx
16.276 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
16.276 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
16.276 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
16.276 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
16.276 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
16.276 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
16.276 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in th
16.276 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
16.276 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
16.276 * [taylor]: Taking taylor expansion of -1 in th
16.276 * [backup-simplify]: Simplify -1 into -1
16.276 * [taylor]: Taking taylor expansion of ky in th
16.276 * [backup-simplify]: Simplify ky into ky
16.276 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
16.276 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
16.276 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
16.276 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
16.276 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
16.277 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
16.277 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 th))) into (pow (sin (/ -1 th)) 2)
16.277 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.277 * [backup-simplify]: Simplify (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) into (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2))
16.277 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
16.277 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
16.277 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
16.277 * [backup-simplify]: Simplify (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
16.278 * [backup-simplify]: Simplify (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
16.278 * [backup-simplify]: Simplify (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
16.279 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
16.279 * [backup-simplify]: Simplify (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3) into (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1/3)
16.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.279 * [backup-simplify]: Simplify (+ 0) into 0
16.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
16.280 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
16.281 * [backup-simplify]: Simplify (+ 0 0) into 0
16.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 th)))) into 0
16.281 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 th)) 2) 0) (* 0 (pow (sin (/ -1 ky)) 2))) into 0
16.282 * [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
16.282 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (* (pow (sin (/ -1 th)) 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
16.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
16.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
16.288 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.289 * [taylor]: Taking taylor expansion of 0 in kx
16.289 * [backup-simplify]: Simplify 0 into 0
16.289 * [taylor]: Taking taylor expansion of 0 in th
16.289 * [backup-simplify]: Simplify 0 into 0
16.289 * [backup-simplify]: Simplify 0 into 0
16.289 * [backup-simplify]: Simplify (+ 0) into 0
16.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.289 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.290 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.290 * [backup-simplify]: Simplify (+ 0 0) into 0
16.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.291 * [backup-simplify]: Simplify (+ 0) into 0
16.291 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
16.291 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
16.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.292 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
16.292 * [backup-simplify]: Simplify (+ 0 0) into 0
16.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 th)))) into 0
16.292 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 th)) 2) 0) (* 0 (pow (sin (/ -1 ky)) 2))) into 0
16.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.293 * [backup-simplify]: Simplify (+ 0) into 0
16.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.293 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.295 * [backup-simplify]: Simplify (+ 0 0) into 0
16.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.295 * [backup-simplify]: Simplify (+ 0 0) into 0
16.296 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (* (pow (sin (/ -1 th)) 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
16.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
16.297 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
16.298 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.298 * [taylor]: Taking taylor expansion of 0 in th
16.298 * [backup-simplify]: Simplify 0 into 0
16.298 * [backup-simplify]: Simplify 0 into 0
16.298 * [backup-simplify]: Simplify (+ 0) into 0
16.298 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.299 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.300 * [backup-simplify]: Simplify (+ 0 0) into 0
16.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 th)))) into 0
16.300 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 th)) 2) 0) (* 0 (pow (sin (/ -1 ky)) 2))) into 0
16.300 * [backup-simplify]: Simplify (+ 0) into 0
16.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
16.301 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
16.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.301 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
16.302 * [backup-simplify]: Simplify (+ 0 0) into 0
16.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
16.302 * [backup-simplify]: Simplify (+ 0) into 0
16.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
16.302 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
16.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
16.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
16.303 * [backup-simplify]: Simplify (+ 0 0) into 0
16.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
16.304 * [backup-simplify]: Simplify (+ 0 0) into 0
16.304 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (* (pow (sin (/ -1 th)) 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
16.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 1) into 0
16.306 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
16.307 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0
16.307 * [backup-simplify]: Simplify 0 into 0
16.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
16.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.309 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.309 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.310 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.310 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.311 * [backup-simplify]: Simplify (+ 0 0) into 0
16.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 th))))) into 0
16.312 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 th)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 ky)) 2)))) into 0
16.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
16.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.314 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.314 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.316 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.316 * [backup-simplify]: Simplify (+ 0 0) into 0
16.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
16.318 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
16.319 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.319 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
16.320 * [backup-simplify]: Simplify (+ 0 0) into 0
16.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
16.321 * [backup-simplify]: Simplify (+ 0 0) into 0
16.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
16.323 * [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
16.324 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (* (pow (sin (/ -1 th)) 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
16.327 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (pow (sin (/ -1 th)) 2) (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 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
16.329 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
16.331 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (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
16.331 * [taylor]: Taking taylor expansion of 0 in kx
16.331 * [backup-simplify]: Simplify 0 into 0
16.331 * [taylor]: Taking taylor expansion of 0 in th
16.331 * [backup-simplify]: Simplify 0 into 0
16.331 * [backup-simplify]: Simplify 0 into 0
16.331 * [taylor]: Taking taylor expansion of 0 in th
16.331 * [backup-simplify]: Simplify 0 into 0
16.331 * [backup-simplify]: Simplify 0 into 0
16.332 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.333 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.333 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.334 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.335 * [backup-simplify]: Simplify (+ 0 0) into 0
16.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
16.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.337 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
16.337 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
16.338 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.339 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
16.339 * [backup-simplify]: Simplify (+ 0 0) into 0
16.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 th))))) into 0
16.340 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 th)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 ky)) 2)))) into 0
16.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
16.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
16.342 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
16.343 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
16.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
16.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
16.345 * [backup-simplify]: Simplify (+ 0 0) into 0
16.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
16.346 * [backup-simplify]: Simplify (+ 0 0) into 0
16.347 * [backup-simplify]: Simplify (- (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (+ (* (/ (* (pow (sin (/ -1 th)) 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
16.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (pow (sin (/ -1 th)) 2) (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 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 1)))) 2) into 0
16.352 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (* (pow (sin (/ -1 th)) 2) (pow (sin (/ -1 ky)) 2)) (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
16.354 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ (* (pow (sin (/ -1 th)) 2) (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
16.354 * [taylor]: Taking taylor expansion of 0 in th
16.354 * [backup-simplify]: Simplify 0 into 0
16.354 * [backup-simplify]: Simplify 0 into 0
16.355 * [backup-simplify]: Simplify (pow (/ (* (pow (sin (/ -1 (/ 1 (- th)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)) (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) 1/3) into (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
16.355 * * * [progress]: simplifying candidates
16.355 * * * * [progress]: [ 1 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (log1p (expm1 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>
16.355 * * * * [progress]: [ 2 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (expm1 (log1p (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>
16.355 * * * * [progress]: [ 3 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (pow (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) 1/3)))>
16.355 * * * * [progress]: [ 4 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (pow (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) 1)))>
16.355 * * * * [progress]: [ 5 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (exp (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>
16.355 * * * * [progress]: [ 6 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (log (exp (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>
16.355 * * * * [progress]: [ 7 / 88 ] simplifiying candidate #<alt (λ (kx ky 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)))) (cbrt (sin th)))))>
16.355 * * * * [progress]: [ 8 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (/ (cbrt (* (sin ky) (sin th))) (cbrt (hypot (sin ky) (sin kx))))))>
16.356 * * * * [progress]: [ 9 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (* (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>
16.356 * * * * [progress]: [ 10 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))>
16.356 * * * * [progress]: [ 11 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>
16.356 * * * * [progress]: [ 12 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (* 1 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))))>
16.356 * * * * [progress]: [ 13 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>
16.356 * * * * [progress]: [ 14 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (log1p (expm1 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 15 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (expm1 (log1p (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 16 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (pow (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) 1/3)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 17 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (pow (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) 1)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 18 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (exp (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 19 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (log (exp (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 20 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 21 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (/ (cbrt (* (sin ky) (sin th))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.356 * * * * [progress]: [ 22 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 23 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (* (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)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 24 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 25 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* 1 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 26 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 27 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (log1p (expm1 (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)))))>
16.357 * * * * [progress]: [ 28 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (expm1 (log1p (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)))))>
16.357 * * * * [progress]: [ 29 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (pow (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) 1/3) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 30 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (pow (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) 1) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 31 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (exp (log (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)))))>
16.357 * * * * [progress]: [ 32 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (log (exp (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)))))>
16.357 * * * * [progress]: [ 33 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 34 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (/ (cbrt (* (sin ky) (sin th))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 35 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (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)))))>
16.357 * * * * [progress]: [ 36 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (* (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))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.357 * * * * [progress]: [ 37 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (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)))))>
16.358 * * * * [progress]: [ 38 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* 1 (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)))))>
16.358 * * * * [progress]: [ 39 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (posit16->real (real->posit16 (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)))))>
16.358 * * * * [progress]: [ 40 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (log1p (expm1 (* (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)))))>
16.358 * * * * [progress]: [ 41 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (expm1 (log1p (* (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)))))>
16.358 * * * * [progress]: [ 42 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (+ 1/3 1/3)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 43 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (+ 1 1)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 44 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) 1/3) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 45 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) 1) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 46 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) 2) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 47 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (+ 1 1)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 48 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) 1) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 49 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (exp (+ (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.358 * * * * [progress]: [ 50 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (exp (log (* (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)))))>
16.358 * * * * [progress]: [ 51 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (log (exp (* (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)))))>
16.358 * * * * [progress]: [ 52 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (cbrt (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 53 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (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)))))>
16.359 * * * * [progress]: [ 54 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (cbrt (* (* (* (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))) (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)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 55 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (sqrt (* (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)))))>
16.359 * * * * [progress]: [ 56 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (* (sin ky) (sin th))) (cbrt (* (sin ky) (sin th)))) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 57 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* 1 (* (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)))))>
16.359 * * * * [progress]: [ 58 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (* (cbrt (sin th)) (cbrt (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 59 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 60 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 61 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* 1 1) (* (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)))))>
16.359 * * * * [progress]: [ 62 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 63 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* 2 1/3)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 64 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* 2 1)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 65 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))) (cbrt (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.359 * * * * [progress]: [ 66 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.360 * * * * [progress]: [ 67 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.360 * * * * [progress]: [ 68 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) 1) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.360 * * * * [progress]: [ 69 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (* (cbrt (sin th)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.360 * * * * [progress]: [ 70 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (* (cbrt (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)))))>
16.360 * * * * [progress]: [ 71 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (* (sqrt (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)))))>
16.360 * * * * [progress]: [ 72 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* 1 (* (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)))))>
16.360 * * * * [progress]: [ 73 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (sin ky) (sin th)))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.360 * * * * [progress]: [ 74 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (* (sin ky) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.360 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (posit16->real (real->posit16 (* (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)))))>
16.360 * * * * [progress]: [ 76 / 88 ] simplifiying candidate #<alt (λ (kx ky 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)))))>
16.360 * * * * [progress]: [ 77 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))))>
16.360 * * * * [progress]: [ 78 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)))>
16.360 * * * * [progress]: [ 79 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)))>
16.361 * * * * [progress]: [ 80 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 81 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 82 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 83 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 84 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 85 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 86 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (- (+ (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (* 1/9 (* (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (pow kx 2)))) (* 7/27 (* (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (pow ky 2)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 87 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.361 * * * * [progress]: [ 88 / 88 ] simplifiying candidate #<alt (λ (kx ky th) (* (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))>
16.363 * [simplify]: Simplifying:
  (expm1 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (log1p (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (exp (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin th))
  (cbrt (* (sin ky) (sin th)))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (cbrt (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)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (expm1 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (log1p (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (exp (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin th))
  (cbrt (* (sin ky) (sin th)))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (cbrt (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)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (expm1 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (log1p (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (exp (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin th))
  (cbrt (* (sin ky) (sin th)))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (cbrt (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)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (expm1 (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (log1p (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)) (* (/ (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))))
  (+ 1 1)
  (+ (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (log (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (log (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (exp (* (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)))
  (* (cbrt (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (cbrt (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))))
  (cbrt (* (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))) (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))))) (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (sqrt (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (sqrt (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (* (cbrt (* (sin ky) (sin th))) (cbrt (* (sin ky) (sin th))))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (* (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))) (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))))
  (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (* 1 1)
  (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (* (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))))
  (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (sqrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) 1)
  (* (cbrt (sin th)) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (* (cbrt (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (* (sqrt (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))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (sin ky) (sin th))))
  (* (cbrt (* (sin ky) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))))
  (real->posit16 (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))
  (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
  (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
  (- (+ (* 1/18 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow kx 2))) (exp (* 1/3 (- (+ (log ky) (log th)) (log kx))))) (* 13/108 (* (exp (* 1/3 (- (+ (log ky) (log th)) (log kx)))) (pow ky 2))))
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
  (pow (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))) 1/3)
  (- (+ (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (* 1/9 (* (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (pow kx 2)))) (* 7/27 (* (exp (* 1/3 (- (+ (* 2 (log ky)) (* 2 (log th))) (* 2 (log kx))))) (pow ky 2))))
  (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
  (pow (/ (* (pow (sin th) 2) (pow (sin ky) 2)) (+ (pow (sin ky) 2) (pow (sin kx) 2))) 1/3)
16.366 * * [simplify]: iteration 0: 104 enodes
16.416 * * [simplify]: iteration 1: 244 enodes
16.491 * * [simplify]: iteration 2: 615 enodes
16.732 * * [simplify]: iteration 3: 1682 enodes
17.352 * * [simplify]: iteration complete: 5001 enodes
17.353 * * [simplify]: Extracting #0: cost 41 inf + 0
17.354 * * [simplify]: Extracting #1: cost 345 inf + 3
17.357 * * [simplify]: Extracting #2: cost 942 inf + 1232
17.365 * * [simplify]: Extracting #3: cost 1525 inf + 16969
17.393 * * [simplify]: Extracting #4: cost 1238 inf + 94489
17.463 * * [simplify]: Extracting #5: cost 670 inf + 249324
17.563 * * [simplify]: Extracting #6: cost 185 inf + 480946
17.667 * * [simplify]: Extracting #7: cost 3 inf + 594994
17.813 * * [simplify]: Extracting #8: cost 0 inf + 596881
17.987 * [simplify]: Simplified to:
  (expm1 (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (log1p (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (log (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (exp (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin th))
  (cbrt (* (sin th) (sin ky)))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))
  (sqrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (sqrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (real->posit16 (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (expm1 (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (log1p (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (log (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (exp (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin th))
  (cbrt (* (sin th) (sin ky)))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))
  (sqrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (sqrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (real->posit16 (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (expm1 (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (log1p (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (log (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (exp (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (cbrt (/ (sin ky) (hypot (sin ky) (sin kx))))
  (cbrt (sin th))
  (cbrt (* (sin th) (sin ky)))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))
  (sqrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (sqrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (real->posit16 (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (expm1 (* (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (log1p (* (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  2/3
  2
  (* (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))) (/ (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)))))
  2
  (+ (log (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (log (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (+ (log (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (log (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (exp (* (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))))
  (* (cbrt (* (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))) (cbrt (* (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))))
  (cbrt (* (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))))
  (fabs (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (fabs (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (* (cbrt (* (sin th) (sin ky))) (cbrt (* (sin th) (sin ky))))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (* (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (* (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (cbrt (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))))
  1
  (* (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))))
  (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))
  2/3
  2
  (* (cbrt (/ (sin ky) (hypot (sin ky) (sin kx)))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (* (* (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))) (cbrt (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (* (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))) (sqrt (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)))) (cbrt (sin th)))
  (* (cbrt (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)))) (sqrt (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)))))
  (* (cbrt (* (sin th) (sin ky))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (* (cbrt (* (sin th) (sin ky))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))))
  (real->posit16 (* (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th)))) (cbrt (/ (sin ky) (/ (hypot (sin ky) (sin kx)) (sin th))))))
  (fma (exp (* (+ (log ky) (- (log th) (log kx))) 1/3)) (fma 1/18 (* kx kx) (* -13/108 (* ky ky))) (exp (* (+ (log ky) (- (log th) (log kx))) 1/3)))
  (cbrt (* (sin ky) (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))))
  (cbrt (* (sin ky) (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))))
  (fma (exp (* (+ (log ky) (- (log th) (log kx))) 1/3)) (fma 1/18 (* kx kx) (* -13/108 (* ky ky))) (exp (* (+ (log ky) (- (log th) (log kx))) 1/3)))
  (cbrt (* (sin ky) (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))))
  (cbrt (* (sin ky) (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))))
  (fma (exp (* (+ (log ky) (- (log th) (log kx))) 1/3)) (fma 1/18 (* kx kx) (* -13/108 (* ky ky))) (exp (* (+ (log ky) (- (log th) (log kx))) 1/3)))
  (cbrt (* (sin ky) (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))))
  (cbrt (* (sin ky) (* (sin th) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))))))
  (fma (exp (fma (log ky) 2/3 (* 2/3 (- (log th) (log kx))))) (fma (* 1/9 kx) kx (* -7/27 (* ky ky))) (exp (fma (log ky) 2/3 (* 2/3 (- (log th) (log kx))))))
  (cbrt (/ (* (sin th) (sin th)) (/ (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) (* (sin ky) (sin ky)))))
  (cbrt (/ (* (sin th) (sin th)) (/ (fma (sin kx) (sin kx) (* (sin ky) (sin ky))) (* (sin ky) (sin ky)))))
17.995 * * * [progress]: adding candidates to table
18.565 * [progress]: [Phase 3 of 3] Extracting.
18.565 * * [regime]: Finding splitpoints for: (#<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (* (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)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))> #<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) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (cbrt (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))))> #<alt (λ (kx ky th) (exp (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))))> #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>)
18.572 * * * [regime-changes]: Trying 6 branch expressions: ((sin th) (sin kx) (sin ky) th ky kx)
18.573 * * * * [regimes]: Trying to branch on (sin th) from (#<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (* (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)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))> #<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) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (cbrt (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))))> #<alt (λ (kx ky th) (exp (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))))> #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>)
18.749 * * * * [regimes]: Trying to branch on (sin kx) from (#<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (* (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)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))> #<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) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (cbrt (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))))> #<alt (λ (kx ky th) (exp (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))))> #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>)
18.926 * * * * [regimes]: Trying to branch on (sin ky) from (#<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (* (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)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))> #<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) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (cbrt (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))))> #<alt (λ (kx ky th) (exp (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))))> #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>)
19.114 * * * * [regimes]: Trying to branch on th from (#<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (* (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)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))> #<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) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (cbrt (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))))> #<alt (λ (kx ky th) (exp (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))))> #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>)
19.333 * * * * [regimes]: Trying to branch on ky from (#<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (* (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)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))> #<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) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (cbrt (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))))> #<alt (λ (kx ky th) (exp (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))))> #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>)
19.510 * * * * [regimes]: Trying to branch on kx from (#<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))> #<alt (λ (kx ky th) (* (* (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky))))) (sin ky)) (sin th)))> #<alt (λ (kx ky th) (* (sin ky) (/ (sin th) (cbrt (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (exp (log (* (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)))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (cbrt (* (* (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)))))))> #<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) (* (sin ky) (exp (log (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin ky) (posit16->real (real->posit16 (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (cbrt (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (* (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))) (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th)))))))> #<alt (λ (kx ky th) (exp (log (/ (sin ky) (/ (hypot (sin kx) (sin ky)) (sin th))))))> #<alt (λ (kx ky th) (* (sin ky) (cbrt (* (* (/ (sin th) (hypot (sin kx) (sin ky))) (/ (sin th) (hypot (sin kx) (sin ky)))) (/ (sin th) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (* (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th))) (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))) (posit16->real (real->posit16 (cbrt (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))))))>)
19.653 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
19.654 * [simplify]: Simplifying:
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
19.654 * * [simplify]: iteration 0: 9 enodes
19.655 * * [simplify]: iteration 1: 10 enodes
19.655 * * [simplify]: iteration complete: 10 enodes
19.655 * * [simplify]: Extracting #0: cost 1 inf + 0
19.655 * * [simplify]: Extracting #1: cost 3 inf + 0
19.655 * * [simplify]: Extracting #2: cost 6 inf + 0
19.655 * * [simplify]: Extracting #3: cost 7 inf + 1
19.656 * * [simplify]: Extracting #4: cost 5 inf + 124
19.656 * * [simplify]: Extracting #5: cost 0 inf + 959
19.656 * [simplify]: Simplified to:
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
32.250 * [regime-testing]: Baseline error score: 9.004723874611882
32.255 * [regime-testing]: Oracle error score: 8.804637252321768
32.260 * [regime-testing]: End program error score: 9.004723874611882