1.202 * [progress]: [Phase 1 of 3] Setting up.
0.004 * * * [progress]: [1/2] Preparing points
0.325 * * * [progress]: [2/2] Setting up program.
0.331 * [progress]: [Phase 2 of 3] Improving.
0.331 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)))>
0.337 * [simplify]: Simplifying:
  (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
0.338 * * [simplify]: iteration 0: 13 enodes
0.344 * * [simplify]: iteration 1: 25 enodes
0.352 * * [simplify]: iteration 2: 61 enodes
0.372 * * [simplify]: iteration 3: 95 enodes
0.401 * * [simplify]: iteration 4: 177 enodes
0.471 * * [simplify]: iteration 5: 367 enodes
0.610 * * [simplify]: iteration 6: 911 enodes
1.418 * * [simplify]: iteration 7: 3205 enodes
2.445 * * [simplify]: iteration complete: 5000 enodes
2.446 * * [simplify]: Extracting #0: cost 1 inf + 0
2.447 * * [simplify]: Extracting #1: cost 107 inf + 0
2.449 * * [simplify]: Extracting #2: cost 337 inf + 0
2.454 * * [simplify]: Extracting #3: cost 397 inf + 7617
2.462 * * [simplify]: Extracting #4: cost 608 inf + 24761
2.486 * * [simplify]: Extracting #5: cost 862 inf + 187592
2.539 * * [simplify]: Extracting #6: cost 465 inf + 591951
2.633 * * [simplify]: Extracting #7: cost 46 inf + 969916
2.778 * * [simplify]: Extracting #8: cost 0 inf + 1006671
2.893 * [simplify]: Simplified to:
  (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))
2.906 * * [progress]: iteration 1 / 4
2.906 * * * [progress]: picking best candidate
2.909 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
2.909 * * * [progress]: localizing error
2.930 * * * [progress]: generating rewritten candidates
2.931 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
2.940 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
2.953 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2)
2.955 * * * [progress]: generating series expansions
2.955 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
2.959 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin ky) (sin kx))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
2.959 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
2.959 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
2.959 * [taylor]: Taking taylor expansion of (sin ky) in kx
2.959 * [taylor]: Taking taylor expansion of ky in kx
2.959 * [backup-simplify]: Simplify ky into ky
2.960 * [backup-simplify]: Simplify (sin ky) into (sin ky)
2.960 * [backup-simplify]: Simplify (cos ky) into (cos ky)
2.960 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
2.961 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
2.961 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
2.961 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
2.961 * [taylor]: Taking taylor expansion of (sin ky) in kx
2.961 * [taylor]: Taking taylor expansion of ky in kx
2.961 * [backup-simplify]: Simplify ky into ky
2.961 * [backup-simplify]: Simplify (sin ky) into (sin ky)
2.961 * [backup-simplify]: Simplify (cos ky) into (cos ky)
2.961 * [taylor]: Taking taylor expansion of (sin ky) in kx
2.961 * [taylor]: Taking taylor expansion of ky in kx
2.961 * [backup-simplify]: Simplify ky into ky
2.961 * [backup-simplify]: Simplify (sin ky) into (sin ky)
2.961 * [backup-simplify]: Simplify (cos ky) into (cos ky)
2.961 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
2.961 * [taylor]: Taking taylor expansion of (sin kx) in kx
2.961 * [taylor]: Taking taylor expansion of kx in kx
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [taylor]: Taking taylor expansion of (sin kx) in kx
2.961 * [taylor]: Taking taylor expansion of kx in kx
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.962 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
2.962 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
2.963 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
2.963 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
2.963 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
2.963 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
2.963 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
2.964 * [backup-simplify]: Simplify (* 0 0) into 0
2.965 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
2.965 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
2.966 * [backup-simplify]: Simplify (+ 0) into 0
2.966 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
2.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.982 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
2.982 * [backup-simplify]: Simplify (+ 0 0) into 0
2.983 * [backup-simplify]: Simplify (+ 0) into 0
2.983 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
2.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.984 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
2.985 * [backup-simplify]: Simplify (+ 0 0) into 0
2.985 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
2.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.987 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.987 * [backup-simplify]: Simplify (+ 0 0) into 0
2.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
2.988 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
2.988 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
2.988 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
2.988 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
2.988 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
2.988 * [taylor]: Taking taylor expansion of (sin ky) in ky
2.988 * [taylor]: Taking taylor expansion of ky in ky
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
2.988 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
2.988 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
2.988 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
2.988 * [taylor]: Taking taylor expansion of (sin ky) in ky
2.988 * [taylor]: Taking taylor expansion of ky in ky
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [taylor]: Taking taylor expansion of (sin ky) in ky
2.989 * [taylor]: Taking taylor expansion of ky in ky
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify 1 into 1
2.989 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
2.989 * [taylor]: Taking taylor expansion of (sin kx) in ky
2.989 * [taylor]: Taking taylor expansion of kx in ky
2.989 * [backup-simplify]: Simplify kx into kx
2.989 * [backup-simplify]: Simplify (sin kx) into (sin kx)
2.989 * [backup-simplify]: Simplify (cos kx) into (cos kx)
2.989 * [taylor]: Taking taylor expansion of (sin kx) in ky
2.989 * [taylor]: Taking taylor expansion of kx in ky
2.989 * [backup-simplify]: Simplify kx into kx
2.989 * [backup-simplify]: Simplify (sin kx) into (sin kx)
2.989 * [backup-simplify]: Simplify (cos kx) into (cos kx)
2.989 * [backup-simplify]: Simplify (* 0 0) into 0
2.989 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
2.989 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
2.990 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
2.990 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
2.990 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
2.990 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
2.990 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
2.990 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
2.990 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
2.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.991 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.992 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.992 * [backup-simplify]: Simplify (+ 0) into 0
2.993 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
2.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.994 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
2.994 * [backup-simplify]: Simplify (+ 0 0) into 0
2.995 * [backup-simplify]: Simplify (+ 0) into 0
2.995 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
2.996 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.996 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
2.997 * [backup-simplify]: Simplify (+ 0 0) into 0
2.997 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
2.997 * [backup-simplify]: Simplify (+ 0 0) into 0
2.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
2.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.998 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
2.998 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
2.998 * [taylor]: Taking taylor expansion of (sin ky) in ky
2.998 * [taylor]: Taking taylor expansion of ky in ky
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
2.998 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
2.998 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
2.998 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
2.998 * [taylor]: Taking taylor expansion of (sin ky) in ky
2.998 * [taylor]: Taking taylor expansion of ky in ky
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [taylor]: Taking taylor expansion of (sin ky) in ky
2.998 * [taylor]: Taking taylor expansion of ky in ky
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify 1 into 1
2.999 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
2.999 * [taylor]: Taking taylor expansion of (sin kx) in ky
2.999 * [taylor]: Taking taylor expansion of kx in ky
2.999 * [backup-simplify]: Simplify kx into kx
2.999 * [backup-simplify]: Simplify (sin kx) into (sin kx)
2.999 * [backup-simplify]: Simplify (cos kx) into (cos kx)
2.999 * [taylor]: Taking taylor expansion of (sin kx) in ky
2.999 * [taylor]: Taking taylor expansion of kx in ky
2.999 * [backup-simplify]: Simplify kx into kx
2.999 * [backup-simplify]: Simplify (sin kx) into (sin kx)
2.999 * [backup-simplify]: Simplify (cos kx) into (cos kx)
2.999 * [backup-simplify]: Simplify (* 0 0) into 0
2.999 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
2.999 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
2.999 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.000 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.000 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.000 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.000 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.000 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.000 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.002 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.003 * [backup-simplify]: Simplify (+ 0) into 0
3.003 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.004 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.005 * [backup-simplify]: Simplify (+ 0) into 0
3.005 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.007 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.007 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.007 * [backup-simplify]: Simplify (+ 0 0) into 0
3.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.008 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
3.009 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.009 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.009 * [taylor]: Taking taylor expansion of kx in kx
3.009 * [backup-simplify]: Simplify 0 into 0
3.009 * [backup-simplify]: Simplify 1 into 1
3.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.010 * [backup-simplify]: Simplify (/ 1 1) into 1
3.011 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.012 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.013 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
3.013 * [taylor]: Taking taylor expansion of 0 in kx
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.016 * [backup-simplify]: Simplify 1/6 into 1/6
3.018 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.020 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.020 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.023 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.024 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.024 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.026 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.027 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.028 * [backup-simplify]: Simplify (+ 0 0) into 0
3.028 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.028 * [backup-simplify]: Simplify (+ 1 0) into 1
3.029 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
3.030 * [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)))))
3.030 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
3.030 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
3.030 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.030 * [taylor]: Taking taylor expansion of 1/6 in kx
3.030 * [backup-simplify]: Simplify 1/6 into 1/6
3.030 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.030 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.030 * [taylor]: Taking taylor expansion of kx in kx
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 1 into 1
3.031 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.032 * [backup-simplify]: Simplify (/ 1 1) into 1
3.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
3.032 * [taylor]: Taking taylor expansion of 1/2 in kx
3.032 * [backup-simplify]: Simplify 1/2 into 1/2
3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
3.032 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
3.032 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.032 * [taylor]: Taking taylor expansion of kx in kx
3.032 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify 1 into 1
3.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.034 * [backup-simplify]: Simplify (* 1 1) into 1
3.034 * [backup-simplify]: Simplify (* 1 1) into 1
3.035 * [backup-simplify]: Simplify (/ 1 1) into 1
3.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.038 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
3.043 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
3.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.048 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
3.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
3.052 * [backup-simplify]: Simplify (+ 0 0) into 0
3.052 * [backup-simplify]: Simplify (- 0) into 0
3.052 * [backup-simplify]: Simplify 0 into 0
3.052 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.060 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
3.061 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.061 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.062 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.063 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.063 * [backup-simplify]: Simplify (+ 0 0) into 0
3.063 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.064 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.065 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.065 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.065 * [backup-simplify]: Simplify (+ 0 0) into 0
3.066 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.066 * [backup-simplify]: Simplify (+ 0 0) into 0
3.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
3.067 * [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
3.067 * [taylor]: Taking taylor expansion of 0 in kx
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.069 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
3.071 * [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
3.072 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
3.073 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
3.075 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
3.075 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
3.075 * [backup-simplify]: Simplify (- 71/720) into -71/720
3.075 * [backup-simplify]: Simplify -71/720 into -71/720
3.075 * [backup-simplify]: Simplify 0 into 0
3.077 * [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
3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
3.078 * [backup-simplify]: Simplify 7/360 into 7/360
3.079 * [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))))
3.079 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
3.079 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
3.079 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
3.079 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.079 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.079 * [taylor]: Taking taylor expansion of ky in kx
3.079 * [backup-simplify]: Simplify ky into ky
3.079 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.079 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.079 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.079 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.079 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.079 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.079 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.079 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.079 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.079 * [taylor]: Taking taylor expansion of ky in kx
3.079 * [backup-simplify]: Simplify ky into ky
3.079 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.079 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.079 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.079 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.080 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.080 * [taylor]: Taking taylor expansion of ky in kx
3.080 * [backup-simplify]: Simplify ky into ky
3.080 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.080 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.080 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.080 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.080 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.080 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.080 * [taylor]: Taking taylor expansion of kx in kx
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify (/ 1 1) into 1
3.080 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.080 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.080 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.080 * [taylor]: Taking taylor expansion of kx in kx
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify (/ 1 1) into 1
3.081 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.081 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.081 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.081 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.081 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.081 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.081 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.081 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.081 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.081 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.081 * [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)))
3.082 * [backup-simplify]: Simplify (+ 0) into 0
3.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.083 * [backup-simplify]: Simplify (+ 0 0) into 0
3.084 * [backup-simplify]: Simplify (+ 0) into 0
3.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.085 * [backup-simplify]: Simplify (+ 0 0) into 0
3.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.086 * [backup-simplify]: Simplify (+ 0 0) into 0
3.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.086 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.086 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.086 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.086 * [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)))
3.087 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.087 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.087 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.087 * [taylor]: Taking taylor expansion of ky in ky
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 1 into 1
3.087 * [backup-simplify]: Simplify (/ 1 1) into 1
3.087 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.087 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.087 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.087 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.087 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.087 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.087 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.087 * [taylor]: Taking taylor expansion of ky in ky
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 1 into 1
3.087 * [backup-simplify]: Simplify (/ 1 1) into 1
3.087 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.087 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.087 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.087 * [taylor]: Taking taylor expansion of ky in ky
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 1 into 1
3.088 * [backup-simplify]: Simplify (/ 1 1) into 1
3.088 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.088 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.088 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.088 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.088 * [taylor]: Taking taylor expansion of kx in ky
3.088 * [backup-simplify]: Simplify kx into kx
3.088 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.088 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.088 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.088 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.088 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.088 * [taylor]: Taking taylor expansion of kx in ky
3.088 * [backup-simplify]: Simplify kx into kx
3.088 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.088 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.088 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.088 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.088 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.088 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.088 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.088 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.089 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.089 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.089 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.089 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.089 * [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)))
3.089 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.089 * [backup-simplify]: Simplify (+ 0) into 0
3.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.090 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.091 * [backup-simplify]: Simplify (+ 0 0) into 0
3.091 * [backup-simplify]: Simplify (+ 0) into 0
3.091 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.092 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.092 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.092 * [backup-simplify]: Simplify (+ 0 0) into 0
3.092 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.093 * [backup-simplify]: Simplify (+ 0 0) into 0
3.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.093 * [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)))
3.093 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.093 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.093 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.093 * [taylor]: Taking taylor expansion of ky in ky
3.093 * [backup-simplify]: Simplify 0 into 0
3.093 * [backup-simplify]: Simplify 1 into 1
3.093 * [backup-simplify]: Simplify (/ 1 1) into 1
3.093 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.093 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.093 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.093 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.093 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.093 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.094 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.094 * [taylor]: Taking taylor expansion of ky in ky
3.094 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.094 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.094 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.094 * [taylor]: Taking taylor expansion of ky in ky
3.094 * [backup-simplify]: Simplify 0 into 0
3.094 * [backup-simplify]: Simplify 1 into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.094 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.094 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.094 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.094 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.094 * [taylor]: Taking taylor expansion of kx in ky
3.094 * [backup-simplify]: Simplify kx into kx
3.094 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.094 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.094 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.094 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.094 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.094 * [taylor]: Taking taylor expansion of kx in ky
3.094 * [backup-simplify]: Simplify kx into kx
3.094 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.095 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.095 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.095 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.095 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.095 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.095 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.095 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.095 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.095 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.095 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.095 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.095 * [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)))
3.095 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.096 * [backup-simplify]: Simplify (+ 0) into 0
3.096 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.097 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.097 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.097 * [backup-simplify]: Simplify (+ 0 0) into 0
3.097 * [backup-simplify]: Simplify (+ 0) into 0
3.098 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.098 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.099 * [backup-simplify]: Simplify (+ 0 0) into 0
3.099 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.099 * [backup-simplify]: Simplify (+ 0 0) into 0
3.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.099 * [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)))
3.099 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
3.099 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.099 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.100 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.100 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.100 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.100 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.100 * [taylor]: Taking taylor expansion of kx in kx
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify 1 into 1
3.102 * [backup-simplify]: Simplify (/ 1 1) into 1
3.102 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.102 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.102 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.102 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.102 * [taylor]: Taking taylor expansion of ky in kx
3.102 * [backup-simplify]: Simplify ky into ky
3.102 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.102 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.102 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.102 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.102 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.103 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.103 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.103 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.103 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.103 * [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)))
3.103 * [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))))
3.103 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.104 * [backup-simplify]: Simplify (+ 0) into 0
3.104 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.105 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.105 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.105 * [backup-simplify]: Simplify (+ 0 0) into 0
3.105 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.105 * [backup-simplify]: Simplify (+ 0 0) into 0
3.106 * [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
3.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.106 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.106 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.106 * [taylor]: Taking taylor expansion of ky in kx
3.106 * [backup-simplify]: Simplify ky into ky
3.106 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.106 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.106 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.106 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.106 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.106 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.106 * [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)))
3.107 * [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)))
3.107 * [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
3.107 * [taylor]: Taking taylor expansion of 0 in kx
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify (+ 0) into 0
3.108 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.109 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.109 * [backup-simplify]: Simplify (+ 0 0) into 0
3.109 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.110 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.111 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.112 * [backup-simplify]: Simplify (+ 0 0) into 0
3.112 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.113 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.114 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.114 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.115 * [backup-simplify]: Simplify (+ 0 0) into 0
3.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.117 * [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
3.117 * [taylor]: Taking taylor expansion of 0 in kx
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.119 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.121 * [backup-simplify]: Simplify (+ 0 0) into 0
3.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.123 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.125 * [backup-simplify]: Simplify (+ 0 0) into 0
3.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.126 * [backup-simplify]: Simplify (+ 0 0) into 0
3.127 * [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
3.128 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.128 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.128 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.130 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.130 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.132 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.132 * [backup-simplify]: Simplify (+ 0 0) into 0
3.133 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.133 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.135 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.135 * [backup-simplify]: Simplify (+ 0 0) into 0
3.136 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.136 * [backup-simplify]: Simplify (+ 0 0) into 0
3.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.137 * [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
3.137 * [taylor]: Taking taylor expansion of 0 in kx
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [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))
3.138 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
3.138 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
3.138 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
3.138 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.138 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.138 * [taylor]: Taking taylor expansion of -1 in kx
3.138 * [backup-simplify]: Simplify -1 into -1
3.138 * [taylor]: Taking taylor expansion of ky in kx
3.138 * [backup-simplify]: Simplify ky into ky
3.138 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.138 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.138 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.138 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.138 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.138 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.138 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.138 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.138 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.138 * [taylor]: Taking taylor expansion of -1 in kx
3.138 * [backup-simplify]: Simplify -1 into -1
3.138 * [taylor]: Taking taylor expansion of ky in kx
3.138 * [backup-simplify]: Simplify ky into ky
3.138 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.138 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.138 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.138 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.138 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.138 * [taylor]: Taking taylor expansion of -1 in kx
3.138 * [backup-simplify]: Simplify -1 into -1
3.138 * [taylor]: Taking taylor expansion of ky in kx
3.138 * [backup-simplify]: Simplify ky into ky
3.138 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.138 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.138 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.138 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.138 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.138 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.138 * [taylor]: Taking taylor expansion of -1 in kx
3.138 * [backup-simplify]: Simplify -1 into -1
3.138 * [taylor]: Taking taylor expansion of kx in kx
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.139 * [backup-simplify]: Simplify (/ -1 1) into -1
3.139 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.139 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.139 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.139 * [taylor]: Taking taylor expansion of -1 in kx
3.139 * [backup-simplify]: Simplify -1 into -1
3.139 * [taylor]: Taking taylor expansion of kx in kx
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify 1 into 1
3.139 * [backup-simplify]: Simplify (/ -1 1) into -1
3.139 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.139 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.139 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.139 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.139 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.140 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.140 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.140 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.140 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.140 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.140 * [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)))
3.140 * [backup-simplify]: Simplify (+ 0) into 0
3.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.141 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.142 * [backup-simplify]: Simplify (+ 0 0) into 0
3.142 * [backup-simplify]: Simplify (+ 0) into 0
3.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.142 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.143 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.143 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.144 * [backup-simplify]: Simplify (+ 0 0) into 0
3.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.144 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.144 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.144 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.144 * [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)))
3.144 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.144 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.144 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.144 * [taylor]: Taking taylor expansion of -1 in ky
3.144 * [backup-simplify]: Simplify -1 into -1
3.144 * [taylor]: Taking taylor expansion of ky in ky
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (/ -1 1) into -1
3.145 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.145 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.145 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.145 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.145 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.145 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.145 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.145 * [taylor]: Taking taylor expansion of -1 in ky
3.145 * [backup-simplify]: Simplify -1 into -1
3.145 * [taylor]: Taking taylor expansion of ky in ky
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (/ -1 1) into -1
3.145 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.145 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.145 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.145 * [taylor]: Taking taylor expansion of -1 in ky
3.145 * [backup-simplify]: Simplify -1 into -1
3.145 * [taylor]: Taking taylor expansion of ky in ky
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.146 * [backup-simplify]: Simplify (/ -1 1) into -1
3.146 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.146 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.146 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.146 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.146 * [taylor]: Taking taylor expansion of -1 in ky
3.146 * [backup-simplify]: Simplify -1 into -1
3.146 * [taylor]: Taking taylor expansion of kx in ky
3.146 * [backup-simplify]: Simplify kx into kx
3.146 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.146 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.146 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.146 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.146 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.146 * [taylor]: Taking taylor expansion of -1 in ky
3.146 * [backup-simplify]: Simplify -1 into -1
3.146 * [taylor]: Taking taylor expansion of kx in ky
3.146 * [backup-simplify]: Simplify kx into kx
3.146 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.146 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.146 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.146 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.146 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.146 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.146 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.146 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.146 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.146 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.146 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.147 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.147 * [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)))
3.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.147 * [backup-simplify]: Simplify (+ 0) into 0
3.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.147 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.148 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.148 * [backup-simplify]: Simplify (+ 0 0) into 0
3.149 * [backup-simplify]: Simplify (+ 0) into 0
3.149 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.149 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.150 * [backup-simplify]: Simplify (+ 0 0) into 0
3.150 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.150 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.151 * [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)))
3.151 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.151 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.151 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.151 * [taylor]: Taking taylor expansion of -1 in ky
3.151 * [backup-simplify]: Simplify -1 into -1
3.151 * [taylor]: Taking taylor expansion of ky in ky
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 1 into 1
3.151 * [backup-simplify]: Simplify (/ -1 1) into -1
3.151 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.151 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.151 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.151 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.151 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.151 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.151 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.151 * [taylor]: Taking taylor expansion of -1 in ky
3.151 * [backup-simplify]: Simplify -1 into -1
3.151 * [taylor]: Taking taylor expansion of ky in ky
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 1 into 1
3.152 * [backup-simplify]: Simplify (/ -1 1) into -1
3.152 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.152 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.152 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.152 * [taylor]: Taking taylor expansion of -1 in ky
3.152 * [backup-simplify]: Simplify -1 into -1
3.152 * [taylor]: Taking taylor expansion of ky in ky
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify 1 into 1
3.152 * [backup-simplify]: Simplify (/ -1 1) into -1
3.152 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.152 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.152 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.152 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.152 * [taylor]: Taking taylor expansion of -1 in ky
3.152 * [backup-simplify]: Simplify -1 into -1
3.152 * [taylor]: Taking taylor expansion of kx in ky
3.152 * [backup-simplify]: Simplify kx into kx
3.152 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.152 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.152 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.152 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.153 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.153 * [taylor]: Taking taylor expansion of -1 in ky
3.153 * [backup-simplify]: Simplify -1 into -1
3.153 * [taylor]: Taking taylor expansion of kx in ky
3.153 * [backup-simplify]: Simplify kx into kx
3.153 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.153 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.153 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.153 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.153 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.153 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.153 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.153 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.153 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.153 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.153 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.153 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.153 * [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)))
3.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.154 * [backup-simplify]: Simplify (+ 0) into 0
3.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.154 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.155 * [backup-simplify]: Simplify (+ 0 0) into 0
3.156 * [backup-simplify]: Simplify (+ 0) into 0
3.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.156 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.157 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.157 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.157 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.158 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
3.158 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
3.158 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.158 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.158 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.158 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.158 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.158 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.158 * [taylor]: Taking taylor expansion of -1 in kx
3.158 * [backup-simplify]: Simplify -1 into -1
3.158 * [taylor]: Taking taylor expansion of kx in kx
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.158 * [backup-simplify]: Simplify (/ -1 1) into -1
3.158 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.158 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.158 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.158 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.158 * [taylor]: Taking taylor expansion of -1 in kx
3.158 * [backup-simplify]: Simplify -1 into -1
3.158 * [taylor]: Taking taylor expansion of ky in kx
3.158 * [backup-simplify]: Simplify ky into ky
3.158 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.158 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.158 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.159 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.159 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.159 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.159 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.159 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.159 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.159 * [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)))
3.159 * [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))))
3.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.159 * [backup-simplify]: Simplify (+ 0) into 0
3.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.160 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.160 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.161 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.161 * [backup-simplify]: Simplify (+ 0 0) into 0
3.161 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.161 * [backup-simplify]: Simplify (+ 0 0) into 0
3.162 * [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
3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.162 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.162 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.162 * [taylor]: Taking taylor expansion of -1 in kx
3.162 * [backup-simplify]: Simplify -1 into -1
3.162 * [taylor]: Taking taylor expansion of ky in kx
3.162 * [backup-simplify]: Simplify ky into ky
3.162 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.162 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.162 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.162 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.162 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.162 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.162 * [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)))
3.163 * [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)))
3.163 * [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
3.163 * [taylor]: Taking taylor expansion of 0 in kx
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify (+ 0) into 0
3.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.164 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.165 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.165 * [backup-simplify]: Simplify (+ 0 0) into 0
3.165 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.166 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.167 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.167 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.168 * [backup-simplify]: Simplify (+ 0 0) into 0
3.168 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.169 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.169 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.169 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.171 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
3.171 * [taylor]: Taking taylor expansion of 0 in kx
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.171 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.172 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.173 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.173 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.174 * [backup-simplify]: Simplify (+ 0 0) into 0
3.174 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.176 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.176 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.177 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.178 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.178 * [backup-simplify]: Simplify (+ 0 0) into 0
3.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.179 * [backup-simplify]: Simplify (+ 0 0) into 0
3.180 * [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
3.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.181 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.181 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.183 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.184 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.186 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.187 * [backup-simplify]: Simplify (+ 0 0) into 0
3.188 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.189 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.189 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.192 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.192 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.194 * [backup-simplify]: Simplify (+ 0 0) into 0
3.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.196 * [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
3.196 * [taylor]: Taking taylor expansion of 0 in kx
3.196 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify 0 into 0
3.197 * [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))
3.197 * * * * [progress]: [ 2 / 3 ] generating series at (2)
3.197 * [backup-simplify]: Simplify (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
3.197 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
3.197 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
3.197 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
3.197 * [taylor]: Taking taylor expansion of (sin th) in kx
3.197 * [taylor]: Taking taylor expansion of th in kx
3.198 * [backup-simplify]: Simplify th into th
3.198 * [backup-simplify]: Simplify (sin th) into (sin th)
3.198 * [backup-simplify]: Simplify (cos th) into (cos th)
3.198 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.198 * [taylor]: Taking taylor expansion of ky in kx
3.198 * [backup-simplify]: Simplify ky into ky
3.198 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.198 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.198 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.198 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.198 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.198 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.198 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.198 * [taylor]: Taking taylor expansion of ky in kx
3.198 * [backup-simplify]: Simplify ky into ky
3.198 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.198 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.198 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.198 * [taylor]: Taking taylor expansion of ky in kx
3.198 * [backup-simplify]: Simplify ky into ky
3.198 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.198 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.198 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.198 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.198 * [taylor]: Taking taylor expansion of kx in kx
3.198 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify 1 into 1
3.199 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.199 * [taylor]: Taking taylor expansion of kx in kx
3.199 * [backup-simplify]: Simplify 0 into 0
3.199 * [backup-simplify]: Simplify 1 into 1
3.199 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.199 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.199 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.199 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.199 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.199 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.199 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.200 * [backup-simplify]: Simplify (* 0 0) into 0
3.200 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.200 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.201 * [backup-simplify]: Simplify (+ 0) into 0
3.201 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.202 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.203 * [backup-simplify]: Simplify (+ 0 0) into 0
3.203 * [backup-simplify]: Simplify (+ 0) into 0
3.204 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.205 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.205 * [backup-simplify]: Simplify (+ 0 0) into 0
3.205 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.207 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.208 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.208 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.208 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.208 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.208 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.208 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.208 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.208 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
3.209 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
3.209 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
3.209 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
3.209 * [taylor]: Taking taylor expansion of (sin th) in ky
3.209 * [taylor]: Taking taylor expansion of th in ky
3.209 * [backup-simplify]: Simplify th into th
3.209 * [backup-simplify]: Simplify (sin th) into (sin th)
3.209 * [backup-simplify]: Simplify (cos th) into (cos th)
3.209 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.209 * [taylor]: Taking taylor expansion of ky in ky
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.209 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.209 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.209 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.209 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.209 * [taylor]: Taking taylor expansion of ky in ky
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.209 * [taylor]: Taking taylor expansion of ky in ky
3.209 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.209 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.209 * [taylor]: Taking taylor expansion of kx in ky
3.209 * [backup-simplify]: Simplify kx into kx
3.209 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.209 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.210 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.210 * [taylor]: Taking taylor expansion of kx in ky
3.210 * [backup-simplify]: Simplify kx into kx
3.210 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.210 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.210 * [backup-simplify]: Simplify (* 0 0) into 0
3.210 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.210 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.210 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.210 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.210 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.210 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.211 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.211 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.211 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.213 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.214 * [backup-simplify]: Simplify (+ 0) into 0
3.214 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.215 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.216 * [backup-simplify]: Simplify (+ 0 0) into 0
3.216 * [backup-simplify]: Simplify (+ 0) into 0
3.217 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.217 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.218 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.218 * [backup-simplify]: Simplify (+ 0 0) into 0
3.218 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.219 * [backup-simplify]: Simplify (+ 0 0) into 0
3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.219 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
3.219 * [backup-simplify]: Simplify (* (cos th) 0) into 0
3.219 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
3.219 * [backup-simplify]: Simplify (* (sin th) 0) into 0
3.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.222 * [backup-simplify]: Simplify (+ 0) into 0
3.223 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
3.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.224 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
3.224 * [backup-simplify]: Simplify (+ 0 0) into 0
3.225 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
3.225 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
3.225 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.225 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.225 * [taylor]: Taking taylor expansion of (sin th) in th
3.225 * [taylor]: Taking taylor expansion of th in th
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 1 into 1
3.225 * [taylor]: Taking taylor expansion of (sin ky) in th
3.225 * [taylor]: Taking taylor expansion of ky in th
3.225 * [backup-simplify]: Simplify ky into ky
3.225 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.225 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.225 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.225 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.225 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.225 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.225 * [taylor]: Taking taylor expansion of (sin ky) in th
3.225 * [taylor]: Taking taylor expansion of ky in th
3.225 * [backup-simplify]: Simplify ky into ky
3.225 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.226 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.226 * [taylor]: Taking taylor expansion of (sin ky) in th
3.226 * [taylor]: Taking taylor expansion of ky in th
3.226 * [backup-simplify]: Simplify ky into ky
3.226 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.226 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.226 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.226 * [taylor]: Taking taylor expansion of (sin kx) in th
3.226 * [taylor]: Taking taylor expansion of kx in th
3.226 * [backup-simplify]: Simplify kx into kx
3.226 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.226 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.226 * [taylor]: Taking taylor expansion of (sin kx) in th
3.226 * [taylor]: Taking taylor expansion of kx in th
3.226 * [backup-simplify]: Simplify kx into kx
3.226 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.226 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.226 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.226 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.226 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.226 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.226 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.226 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.227 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.227 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.227 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.227 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.227 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.227 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.227 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.227 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.227 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.227 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.228 * [backup-simplify]: Simplify (+ 0) into 0
3.228 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.229 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.230 * [backup-simplify]: Simplify (+ 0 0) into 0
3.230 * [backup-simplify]: Simplify (+ 0) into 0
3.231 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.232 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.232 * [backup-simplify]: Simplify (+ 0 0) into 0
3.232 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.233 * [backup-simplify]: Simplify (+ 0) into 0
3.233 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.234 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.234 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.235 * [backup-simplify]: Simplify (+ 0 0) into 0
3.235 * [backup-simplify]: Simplify (+ 0) into 0
3.235 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.237 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.237 * [backup-simplify]: Simplify (+ 0 0) into 0
3.237 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.238 * [backup-simplify]: Simplify (+ 0 0) into 0
3.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.238 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.238 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.238 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.238 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.239 * [backup-simplify]: Simplify (+ 0) into 0
3.239 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.240 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.241 * [backup-simplify]: Simplify (+ 0 0) into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.242 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.242 * [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))
3.242 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
3.242 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
3.242 * [taylor]: Taking taylor expansion of (sin th) in th
3.242 * [taylor]: Taking taylor expansion of th in th
3.242 * [backup-simplify]: Simplify 0 into 0
3.242 * [backup-simplify]: Simplify 1 into 1
3.242 * [taylor]: Taking taylor expansion of (sin ky) in th
3.242 * [taylor]: Taking taylor expansion of ky in th
3.242 * [backup-simplify]: Simplify ky into ky
3.242 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.242 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.242 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
3.242 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.242 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
3.242 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
3.243 * [taylor]: Taking taylor expansion of (sin ky) in th
3.243 * [taylor]: Taking taylor expansion of ky in th
3.243 * [backup-simplify]: Simplify ky into ky
3.243 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.243 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.243 * [taylor]: Taking taylor expansion of (sin ky) in th
3.243 * [taylor]: Taking taylor expansion of ky in th
3.243 * [backup-simplify]: Simplify ky into ky
3.243 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.243 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.243 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
3.243 * [taylor]: Taking taylor expansion of (sin kx) in th
3.243 * [taylor]: Taking taylor expansion of kx in th
3.243 * [backup-simplify]: Simplify kx into kx
3.243 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.243 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.243 * [taylor]: Taking taylor expansion of (sin kx) in th
3.243 * [taylor]: Taking taylor expansion of kx in th
3.243 * [backup-simplify]: Simplify kx into kx
3.243 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.243 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.243 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.243 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.243 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.243 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.244 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.244 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.244 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.244 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.244 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.244 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.244 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.244 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.244 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.244 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.244 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
3.244 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
3.245 * [backup-simplify]: Simplify (+ 0) into 0
3.245 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.246 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.247 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.247 * [backup-simplify]: Simplify (+ 0 0) into 0
3.247 * [backup-simplify]: Simplify (+ 0) into 0
3.248 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.249 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.249 * [backup-simplify]: Simplify (+ 0 0) into 0
3.249 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.250 * [backup-simplify]: Simplify (+ 0) into 0
3.250 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.251 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.252 * [backup-simplify]: Simplify (+ 0 0) into 0
3.252 * [backup-simplify]: Simplify (+ 0) into 0
3.253 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.254 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.254 * [backup-simplify]: Simplify (+ 0 0) into 0
3.254 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.255 * [backup-simplify]: Simplify (+ 0 0) into 0
3.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.255 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.255 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.255 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.255 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
3.256 * [backup-simplify]: Simplify (+ 0) into 0
3.256 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.258 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
3.260 * [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))
3.260 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.260 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.260 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.260 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.260 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.260 * [taylor]: Taking taylor expansion of ky in ky
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.261 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.261 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.261 * [taylor]: Taking taylor expansion of kx in ky
3.261 * [backup-simplify]: Simplify kx into kx
3.261 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.261 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.261 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.261 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.261 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.261 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.261 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.261 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.262 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.262 * [backup-simplify]: Simplify (+ 0) into 0
3.263 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.264 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.265 * [backup-simplify]: Simplify (+ 0 0) into 0
3.265 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.265 * [backup-simplify]: Simplify (+ 0 0) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.265 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.265 * [taylor]: Taking taylor expansion of ky in ky
3.265 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.267 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
3.267 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.267 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.267 * [taylor]: Taking taylor expansion of kx in kx
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.268 * [backup-simplify]: Simplify (/ 1 1) into 1
3.269 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.269 * [backup-simplify]: Simplify 0 into 0
3.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.271 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.273 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.273 * [backup-simplify]: Simplify (+ 0 0) into 0
3.274 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
3.275 * [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
3.275 * [taylor]: Taking taylor expansion of 0 in ky
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [taylor]: Taking taylor expansion of 0 in kx
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.277 * [backup-simplify]: Simplify (* 1 1) into 1
3.277 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.278 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.279 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.280 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.280 * [backup-simplify]: Simplify (+ 0 0) into 0
3.280 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.281 * [backup-simplify]: Simplify (+ 1 0) into 1
3.281 * [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)))
3.282 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
3.283 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
3.283 * [taylor]: Taking taylor expansion of 0 in kx
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
3.286 * [backup-simplify]: Simplify 1/6 into 1/6
3.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.288 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.290 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.290 * [backup-simplify]: Simplify (+ 0 0) into 0
3.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
3.294 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.295 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.296 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.299 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
3.299 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.300 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
3.300 * [backup-simplify]: Simplify (+ 0 0) into 0
3.301 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
3.302 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.302 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.303 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.303 * [backup-simplify]: Simplify (+ 0 0) into 0
3.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.304 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.304 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.305 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.306 * [backup-simplify]: Simplify (+ 0 0) into 0
3.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
3.307 * [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))))
3.307 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
3.307 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
3.307 * [taylor]: Taking taylor expansion of 1/6 in ky
3.307 * [backup-simplify]: Simplify 1/6 into 1/6
3.307 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
3.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
3.307 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
3.307 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
3.307 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
3.307 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.307 * [taylor]: Taking taylor expansion of ky in ky
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.307 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
3.307 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.307 * [taylor]: Taking taylor expansion of kx in ky
3.307 * [backup-simplify]: Simplify kx into kx
3.307 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.308 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.308 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.308 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.308 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.308 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.308 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.308 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
3.308 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
3.308 * [backup-simplify]: Simplify (+ 0) into 0
3.308 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.309 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.309 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.309 * [backup-simplify]: Simplify (+ 0 0) into 0
3.310 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.310 * [backup-simplify]: Simplify (+ 0 0) into 0
3.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
3.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
3.310 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.310 * [taylor]: Taking taylor expansion of ky in ky
3.310 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify 1 into 1
3.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.311 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
3.311 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
3.311 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
3.311 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
3.311 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
3.311 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.311 * [taylor]: Taking taylor expansion of 1/6 in kx
3.311 * [backup-simplify]: Simplify 1/6 into 1/6
3.311 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.311 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.311 * [taylor]: Taking taylor expansion of kx in kx
3.311 * [backup-simplify]: Simplify 0 into 0
3.311 * [backup-simplify]: Simplify 1 into 1
3.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.312 * [backup-simplify]: Simplify (/ 1 1) into 1
3.312 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.313 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.314 * [backup-simplify]: Simplify (- 0) into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [taylor]: Taking taylor expansion of 0 in kx
3.314 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.316 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.317 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.318 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.318 * [backup-simplify]: Simplify (+ 0 0) into 0
3.319 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.319 * [backup-simplify]: Simplify (+ 0 0) into 0
3.320 * [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
3.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
3.320 * [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)))))
3.320 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
3.320 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
3.320 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
3.320 * [taylor]: Taking taylor expansion of 1/6 in kx
3.320 * [backup-simplify]: Simplify 1/6 into 1/6
3.320 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
3.320 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.320 * [taylor]: Taking taylor expansion of kx in kx
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 1 into 1
3.321 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.321 * [backup-simplify]: Simplify (/ 1 1) into 1
3.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
3.321 * [taylor]: Taking taylor expansion of 1/2 in kx
3.321 * [backup-simplify]: Simplify 1/2 into 1/2
3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
3.321 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
3.321 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.321 * [taylor]: Taking taylor expansion of kx in kx
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 1 into 1
3.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.322 * [backup-simplify]: Simplify (* 1 1) into 1
3.322 * [backup-simplify]: Simplify (* 1 1) into 1
3.322 * [backup-simplify]: Simplify (/ 1 1) into 1
3.323 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.324 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.325 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.325 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.326 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.331 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
3.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
3.335 * [backup-simplify]: Simplify (+ 0 0) into 0
3.336 * [backup-simplify]: Simplify (- 0) into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 0 into 0
3.337 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
3.339 * [backup-simplify]: Simplify 0 into 0
3.339 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
3.339 * [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))))
3.339 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
3.339 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
3.339 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
3.339 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
3.339 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
3.339 * [taylor]: Taking taylor expansion of th in kx
3.339 * [backup-simplify]: Simplify th into th
3.339 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.339 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.340 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.340 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.340 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.340 * [taylor]: Taking taylor expansion of ky in kx
3.340 * [backup-simplify]: Simplify ky into ky
3.340 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.340 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.340 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.340 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.340 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.340 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.340 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.340 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.340 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.340 * [taylor]: Taking taylor expansion of ky in kx
3.340 * [backup-simplify]: Simplify ky into ky
3.340 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.340 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.340 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.340 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.340 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.340 * [taylor]: Taking taylor expansion of ky in kx
3.340 * [backup-simplify]: Simplify ky into ky
3.340 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.340 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.340 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.341 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.341 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.341 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.341 * [taylor]: Taking taylor expansion of kx in kx
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [backup-simplify]: Simplify (/ 1 1) into 1
3.341 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.341 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.341 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.341 * [taylor]: Taking taylor expansion of kx in kx
3.341 * [backup-simplify]: Simplify 0 into 0
3.341 * [backup-simplify]: Simplify 1 into 1
3.342 * [backup-simplify]: Simplify (/ 1 1) into 1
3.342 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.342 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.342 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.342 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.342 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.342 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.343 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.343 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.343 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.343 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.343 * [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)))
3.344 * [backup-simplify]: Simplify (+ 0) into 0
3.344 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.345 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.346 * [backup-simplify]: Simplify (+ 0 0) into 0
3.346 * [backup-simplify]: Simplify (+ 0) into 0
3.347 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.348 * [backup-simplify]: Simplify (+ 0 0) into 0
3.348 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.349 * [backup-simplify]: Simplify (+ 0 0) into 0
3.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.349 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.349 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.350 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.350 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.350 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.350 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.350 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.350 * [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)))))
3.351 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
3.351 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
3.351 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
3.351 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
3.351 * [taylor]: Taking taylor expansion of th in ky
3.351 * [backup-simplify]: Simplify th into th
3.351 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.351 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.351 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.351 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.351 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.351 * [taylor]: Taking taylor expansion of ky in ky
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 1 into 1
3.353 * [backup-simplify]: Simplify (/ 1 1) into 1
3.353 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.353 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.353 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.353 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.353 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.353 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.354 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.354 * [taylor]: Taking taylor expansion of ky in ky
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.354 * [backup-simplify]: Simplify (/ 1 1) into 1
3.354 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.354 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.354 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.354 * [taylor]: Taking taylor expansion of ky in ky
3.354 * [backup-simplify]: Simplify 0 into 0
3.354 * [backup-simplify]: Simplify 1 into 1
3.355 * [backup-simplify]: Simplify (/ 1 1) into 1
3.355 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.355 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.355 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.355 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.355 * [taylor]: Taking taylor expansion of kx in ky
3.355 * [backup-simplify]: Simplify kx into kx
3.355 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.355 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.355 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.355 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.355 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.355 * [taylor]: Taking taylor expansion of kx in ky
3.355 * [backup-simplify]: Simplify kx into kx
3.355 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.355 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.355 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.356 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.356 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.356 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.356 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.356 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.356 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.356 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.356 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.356 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.357 * [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)))
3.357 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.357 * [backup-simplify]: Simplify (+ 0) into 0
3.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.359 * [backup-simplify]: Simplify (+ 0 0) into 0
3.360 * [backup-simplify]: Simplify (+ 0) into 0
3.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.362 * [backup-simplify]: Simplify (+ 0 0) into 0
3.362 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.363 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.363 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.363 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.363 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.364 * [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)))))
3.364 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
3.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
3.364 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
3.364 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.364 * [taylor]: Taking taylor expansion of th in th
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify 1 into 1
3.364 * [backup-simplify]: Simplify (/ 1 1) into 1
3.364 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.365 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.365 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.365 * [taylor]: Taking taylor expansion of ky in th
3.365 * [backup-simplify]: Simplify ky into ky
3.365 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.365 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.365 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.365 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
3.365 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.365 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
3.365 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
3.365 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.365 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.365 * [taylor]: Taking taylor expansion of ky in th
3.365 * [backup-simplify]: Simplify ky into ky
3.365 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.365 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.365 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.365 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.365 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.365 * [taylor]: Taking taylor expansion of ky in th
3.365 * [backup-simplify]: Simplify ky into ky
3.365 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.365 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.366 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.366 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
3.366 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.366 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.366 * [taylor]: Taking taylor expansion of kx in th
3.366 * [backup-simplify]: Simplify kx into kx
3.366 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.366 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.366 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.366 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.366 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.366 * [taylor]: Taking taylor expansion of kx in th
3.366 * [backup-simplify]: Simplify kx into kx
3.366 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.366 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.366 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.366 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.366 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.366 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.366 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.366 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.367 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.367 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.367 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.367 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.367 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.367 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.367 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.367 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.367 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.367 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.368 * [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)))
3.368 * [backup-simplify]: Simplify (+ 0) into 0
3.369 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.370 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.370 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.370 * [backup-simplify]: Simplify (+ 0 0) into 0
3.370 * [backup-simplify]: Simplify (+ 0) into 0
3.371 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.372 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.372 * [backup-simplify]: Simplify (+ 0 0) into 0
3.372 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.372 * [backup-simplify]: Simplify (+ 0) into 0
3.373 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.373 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.373 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.374 * [backup-simplify]: Simplify (+ 0 0) into 0
3.374 * [backup-simplify]: Simplify (+ 0) into 0
3.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.376 * [backup-simplify]: Simplify (+ 0 0) into 0
3.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.376 * [backup-simplify]: Simplify (+ 0 0) into 0
3.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.376 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.376 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.376 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.376 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.376 * [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)))))
3.376 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
3.377 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
3.377 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
3.377 * [taylor]: Taking taylor expansion of (/ 1 th) in th
3.377 * [taylor]: Taking taylor expansion of th in th
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [backup-simplify]: Simplify (/ 1 1) into 1
3.377 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.377 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.377 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.377 * [taylor]: Taking taylor expansion of ky in th
3.377 * [backup-simplify]: Simplify ky into ky
3.377 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.377 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.377 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.377 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
3.377 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.377 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
3.377 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
3.377 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.377 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.377 * [taylor]: Taking taylor expansion of ky in th
3.377 * [backup-simplify]: Simplify ky into ky
3.377 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.377 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.377 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.377 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
3.377 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
3.377 * [taylor]: Taking taylor expansion of ky in th
3.377 * [backup-simplify]: Simplify ky into ky
3.377 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.378 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.378 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.378 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
3.378 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.378 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.378 * [taylor]: Taking taylor expansion of kx in th
3.378 * [backup-simplify]: Simplify kx into kx
3.378 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.378 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.378 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.378 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
3.378 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
3.378 * [taylor]: Taking taylor expansion of kx in th
3.378 * [backup-simplify]: Simplify kx into kx
3.378 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.378 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.378 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.378 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.378 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.378 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.378 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.378 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.378 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.378 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.378 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.378 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.378 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.378 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.379 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.379 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.379 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.379 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.379 * [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)))
3.379 * [backup-simplify]: Simplify (+ 0) into 0
3.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.380 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.381 * [backup-simplify]: Simplify (+ 0 0) into 0
3.381 * [backup-simplify]: Simplify (+ 0) into 0
3.381 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.382 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.382 * [backup-simplify]: Simplify (+ 0 0) into 0
3.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.383 * [backup-simplify]: Simplify (+ 0) into 0
3.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.384 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.384 * [backup-simplify]: Simplify (+ 0 0) into 0
3.384 * [backup-simplify]: Simplify (+ 0) into 0
3.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.385 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.386 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.386 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.386 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.386 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.386 * [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)))))
3.387 * [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
3.387 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
3.387 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
3.387 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
3.387 * [taylor]: Taking taylor expansion of th in ky
3.387 * [backup-simplify]: Simplify th into th
3.387 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.387 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.387 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.387 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.387 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.387 * [taylor]: Taking taylor expansion of ky in ky
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.387 * [backup-simplify]: Simplify (/ 1 1) into 1
3.387 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
3.387 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
3.387 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
3.387 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
3.387 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.387 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.387 * [taylor]: Taking taylor expansion of kx in ky
3.387 * [backup-simplify]: Simplify kx into kx
3.387 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.387 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.387 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.387 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.388 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.388 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.388 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
3.388 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.388 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.388 * [taylor]: Taking taylor expansion of ky in ky
3.388 * [backup-simplify]: Simplify 0 into 0
3.388 * [backup-simplify]: Simplify 1 into 1
3.388 * [backup-simplify]: Simplify (/ 1 1) into 1
3.388 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.388 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.388 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.388 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.388 * [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)))
3.388 * [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))))
3.389 * [backup-simplify]: Simplify (+ 0) into 0
3.389 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.390 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.390 * [backup-simplify]: Simplify (+ 0 0) into 0
3.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.390 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.391 * [backup-simplify]: Simplify (+ 0 0) into 0
3.391 * [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
3.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.391 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.391 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.391 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.391 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.391 * [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)))))
3.391 * [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
3.391 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
3.391 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
3.391 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
3.392 * [taylor]: Taking taylor expansion of th in kx
3.392 * [backup-simplify]: Simplify th into th
3.392 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
3.392 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
3.392 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
3.392 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.392 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.392 * [taylor]: Taking taylor expansion of ky in kx
3.392 * [backup-simplify]: Simplify ky into ky
3.392 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.392 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.392 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
3.392 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.392 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.392 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.392 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.392 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.392 * [taylor]: Taking taylor expansion of kx in kx
3.392 * [backup-simplify]: Simplify 0 into 0
3.392 * [backup-simplify]: Simplify 1 into 1
3.392 * [backup-simplify]: Simplify (/ 1 1) into 1
3.392 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.392 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.392 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.392 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.392 * [taylor]: Taking taylor expansion of ky in kx
3.392 * [backup-simplify]: Simplify ky into ky
3.392 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.392 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.392 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.393 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.393 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.393 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.393 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.393 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.393 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.393 * [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)))
3.393 * [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))))
3.393 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.394 * [backup-simplify]: Simplify (+ 0) into 0
3.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.395 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.395 * [backup-simplify]: Simplify (+ 0 0) into 0
3.395 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.395 * [backup-simplify]: Simplify (+ 0 0) into 0
3.396 * [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
3.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.396 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
3.396 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
3.396 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
3.396 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.396 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.396 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.396 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
3.396 * [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)))))
3.396 * [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)))))
3.397 * [backup-simplify]: Simplify (+ 0) into 0
3.397 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.398 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.399 * [backup-simplify]: Simplify (+ 0 0) into 0
3.399 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.400 * [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
3.400 * [taylor]: Taking taylor expansion of 0 in ky
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [taylor]: Taking taylor expansion of 0 in kx
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify (+ 0) into 0
3.401 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
3.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
3.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
3.402 * [backup-simplify]: Simplify (+ 0 0) into 0
3.403 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.403 * [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
3.403 * [taylor]: Taking taylor expansion of 0 in kx
3.403 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify 0 into 0
3.403 * [backup-simplify]: Simplify (+ 0) into 0
3.404 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.405 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.406 * [backup-simplify]: Simplify (+ 0 0) into 0
3.406 * [backup-simplify]: Simplify (+ 0) into 0
3.406 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
3.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
3.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
3.408 * [backup-simplify]: Simplify (+ 0 0) into 0
3.408 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.409 * [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
3.409 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.411 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.412 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.412 * [backup-simplify]: Simplify (+ 0 0) into 0
3.413 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.414 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.414 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.415 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.416 * [backup-simplify]: Simplify (+ 0 0) into 0
3.417 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.418 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.419 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.420 * [backup-simplify]: Simplify (+ 0 0) into 0
3.420 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.421 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.422 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.424 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.425 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.428 * [backup-simplify]: Simplify (+ 0 0) into 0
3.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.430 * [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
3.430 * [taylor]: Taking taylor expansion of 0 in ky
3.430 * [backup-simplify]: Simplify 0 into 0
3.430 * [taylor]: Taking taylor expansion of 0 in kx
3.430 * [backup-simplify]: Simplify 0 into 0
3.430 * [backup-simplify]: Simplify 0 into 0
3.430 * [taylor]: Taking taylor expansion of 0 in kx
3.430 * [backup-simplify]: Simplify 0 into 0
3.430 * [backup-simplify]: Simplify 0 into 0
3.431 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.431 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.432 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.432 * [backup-simplify]: Simplify (+ 0 0) into 0
3.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.433 * [backup-simplify]: Simplify (+ 0 0) into 0
3.433 * [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
3.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
3.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
3.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.436 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
3.436 * [backup-simplify]: Simplify (+ 0 0) into 0
3.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.437 * [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
3.437 * [taylor]: Taking taylor expansion of 0 in kx
3.437 * [backup-simplify]: Simplify 0 into 0
3.437 * [backup-simplify]: Simplify 0 into 0
3.437 * [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)))
3.437 * [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))))
3.437 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
3.437 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
3.437 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
3.437 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
3.437 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
3.438 * [taylor]: Taking taylor expansion of -1 in kx
3.438 * [backup-simplify]: Simplify -1 into -1
3.438 * [taylor]: Taking taylor expansion of th in kx
3.438 * [backup-simplify]: Simplify th into th
3.438 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.438 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.438 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.438 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.438 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.438 * [taylor]: Taking taylor expansion of -1 in kx
3.438 * [backup-simplify]: Simplify -1 into -1
3.438 * [taylor]: Taking taylor expansion of ky in kx
3.438 * [backup-simplify]: Simplify ky into ky
3.438 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.438 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.438 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.438 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.438 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.438 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.438 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.438 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.438 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.438 * [taylor]: Taking taylor expansion of -1 in kx
3.438 * [backup-simplify]: Simplify -1 into -1
3.438 * [taylor]: Taking taylor expansion of ky in kx
3.438 * [backup-simplify]: Simplify ky into ky
3.438 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.438 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.438 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.438 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.438 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.438 * [taylor]: Taking taylor expansion of -1 in kx
3.438 * [backup-simplify]: Simplify -1 into -1
3.438 * [taylor]: Taking taylor expansion of ky in kx
3.439 * [backup-simplify]: Simplify ky into ky
3.439 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.439 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.439 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.439 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.439 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.439 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.439 * [taylor]: Taking taylor expansion of -1 in kx
3.439 * [backup-simplify]: Simplify -1 into -1
3.439 * [taylor]: Taking taylor expansion of kx in kx
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify 1 into 1
3.439 * [backup-simplify]: Simplify (/ -1 1) into -1
3.439 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.439 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.439 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.439 * [taylor]: Taking taylor expansion of -1 in kx
3.439 * [backup-simplify]: Simplify -1 into -1
3.439 * [taylor]: Taking taylor expansion of kx in kx
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify 1 into 1
3.440 * [backup-simplify]: Simplify (/ -1 1) into -1
3.440 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.440 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.440 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.440 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.440 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.440 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.440 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.440 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.440 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.440 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.440 * [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)))
3.441 * [backup-simplify]: Simplify (+ 0) into 0
3.441 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.441 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.442 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.442 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (+ 0) into 0
3.443 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.443 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.443 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.444 * [backup-simplify]: Simplify (+ 0 0) into 0
3.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.444 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.444 * [backup-simplify]: Simplify (+ 0 0) into 0
3.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.444 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.444 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.444 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.445 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.445 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.445 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.445 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.445 * [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)))))
3.445 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
3.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
3.445 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
3.445 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
3.445 * [taylor]: Taking taylor expansion of -1 in ky
3.445 * [backup-simplify]: Simplify -1 into -1
3.445 * [taylor]: Taking taylor expansion of th in ky
3.445 * [backup-simplify]: Simplify th into th
3.445 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.445 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.445 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.445 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.445 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.445 * [taylor]: Taking taylor expansion of -1 in ky
3.445 * [backup-simplify]: Simplify -1 into -1
3.445 * [taylor]: Taking taylor expansion of ky in ky
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify 1 into 1
3.446 * [backup-simplify]: Simplify (/ -1 1) into -1
3.446 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.446 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.446 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.446 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.446 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.446 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.446 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.446 * [taylor]: Taking taylor expansion of -1 in ky
3.446 * [backup-simplify]: Simplify -1 into -1
3.446 * [taylor]: Taking taylor expansion of ky in ky
3.446 * [backup-simplify]: Simplify 0 into 0
3.446 * [backup-simplify]: Simplify 1 into 1
3.446 * [backup-simplify]: Simplify (/ -1 1) into -1
3.446 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.446 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.446 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.446 * [taylor]: Taking taylor expansion of -1 in ky
3.446 * [backup-simplify]: Simplify -1 into -1
3.447 * [taylor]: Taking taylor expansion of ky in ky
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.447 * [backup-simplify]: Simplify (/ -1 1) into -1
3.447 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.447 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.447 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.447 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.447 * [taylor]: Taking taylor expansion of -1 in ky
3.447 * [backup-simplify]: Simplify -1 into -1
3.447 * [taylor]: Taking taylor expansion of kx in ky
3.447 * [backup-simplify]: Simplify kx into kx
3.447 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.447 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.447 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.447 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.447 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.447 * [taylor]: Taking taylor expansion of -1 in ky
3.447 * [backup-simplify]: Simplify -1 into -1
3.447 * [taylor]: Taking taylor expansion of kx in ky
3.447 * [backup-simplify]: Simplify kx into kx
3.447 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.447 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.447 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.447 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.447 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.447 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.448 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.448 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.448 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.448 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.448 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.448 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.448 * [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)))
3.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.448 * [backup-simplify]: Simplify (+ 0) into 0
3.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.449 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.449 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.450 * [backup-simplify]: Simplify (+ 0 0) into 0
3.450 * [backup-simplify]: Simplify (+ 0) into 0
3.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.450 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.451 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.451 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.451 * [backup-simplify]: Simplify (+ 0 0) into 0
3.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.452 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.452 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.452 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.452 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.452 * [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)))))
3.452 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
3.452 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
3.452 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
3.452 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.452 * [taylor]: Taking taylor expansion of -1 in th
3.452 * [backup-simplify]: Simplify -1 into -1
3.452 * [taylor]: Taking taylor expansion of th in th
3.452 * [backup-simplify]: Simplify 0 into 0
3.452 * [backup-simplify]: Simplify 1 into 1
3.453 * [backup-simplify]: Simplify (/ -1 1) into -1
3.453 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.453 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.453 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.453 * [taylor]: Taking taylor expansion of -1 in th
3.453 * [backup-simplify]: Simplify -1 into -1
3.453 * [taylor]: Taking taylor expansion of ky in th
3.453 * [backup-simplify]: Simplify ky into ky
3.453 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.453 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.453 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.453 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
3.453 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.453 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
3.453 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
3.453 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.453 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.453 * [taylor]: Taking taylor expansion of -1 in th
3.453 * [backup-simplify]: Simplify -1 into -1
3.453 * [taylor]: Taking taylor expansion of ky in th
3.453 * [backup-simplify]: Simplify ky into ky
3.453 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.453 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.453 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.453 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.453 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.453 * [taylor]: Taking taylor expansion of -1 in th
3.453 * [backup-simplify]: Simplify -1 into -1
3.453 * [taylor]: Taking taylor expansion of ky in th
3.453 * [backup-simplify]: Simplify ky into ky
3.453 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.454 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.454 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.454 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
3.454 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.454 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.454 * [taylor]: Taking taylor expansion of -1 in th
3.454 * [backup-simplify]: Simplify -1 into -1
3.454 * [taylor]: Taking taylor expansion of kx in th
3.454 * [backup-simplify]: Simplify kx into kx
3.454 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.454 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.454 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.454 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.454 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.454 * [taylor]: Taking taylor expansion of -1 in th
3.454 * [backup-simplify]: Simplify -1 into -1
3.454 * [taylor]: Taking taylor expansion of kx in th
3.454 * [backup-simplify]: Simplify kx into kx
3.454 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.454 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.454 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.454 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.454 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.454 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.454 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.454 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.454 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.454 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.454 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.454 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.455 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.455 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.455 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.455 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.455 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.455 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.455 * [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)))
3.455 * [backup-simplify]: Simplify (+ 0) into 0
3.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.456 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.456 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.457 * [backup-simplify]: Simplify (+ 0 0) into 0
3.457 * [backup-simplify]: Simplify (+ 0) into 0
3.457 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.457 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.458 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.458 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.459 * [backup-simplify]: Simplify (+ 0 0) into 0
3.459 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.459 * [backup-simplify]: Simplify (+ 0) into 0
3.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.460 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.461 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.462 * [backup-simplify]: Simplify (+ 0 0) into 0
3.462 * [backup-simplify]: Simplify (+ 0) into 0
3.462 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.462 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.464 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.464 * [backup-simplify]: Simplify (+ 0 0) into 0
3.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.465 * [backup-simplify]: Simplify (+ 0 0) into 0
3.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.465 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.465 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.465 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.465 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.466 * [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)))))
3.466 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
3.466 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
3.466 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
3.466 * [taylor]: Taking taylor expansion of (/ -1 th) in th
3.466 * [taylor]: Taking taylor expansion of -1 in th
3.466 * [backup-simplify]: Simplify -1 into -1
3.466 * [taylor]: Taking taylor expansion of th in th
3.466 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify 1 into 1
3.466 * [backup-simplify]: Simplify (/ -1 1) into -1
3.467 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.467 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.467 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.467 * [taylor]: Taking taylor expansion of -1 in th
3.467 * [backup-simplify]: Simplify -1 into -1
3.467 * [taylor]: Taking taylor expansion of ky in th
3.467 * [backup-simplify]: Simplify ky into ky
3.467 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.467 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.467 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.467 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
3.467 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.467 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
3.467 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
3.467 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.467 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.467 * [taylor]: Taking taylor expansion of -1 in th
3.467 * [backup-simplify]: Simplify -1 into -1
3.467 * [taylor]: Taking taylor expansion of ky in th
3.467 * [backup-simplify]: Simplify ky into ky
3.467 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.467 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.467 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.467 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
3.467 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
3.468 * [taylor]: Taking taylor expansion of -1 in th
3.468 * [backup-simplify]: Simplify -1 into -1
3.468 * [taylor]: Taking taylor expansion of ky in th
3.468 * [backup-simplify]: Simplify ky into ky
3.468 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.468 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.468 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.468 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
3.468 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.468 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.468 * [taylor]: Taking taylor expansion of -1 in th
3.468 * [backup-simplify]: Simplify -1 into -1
3.468 * [taylor]: Taking taylor expansion of kx in th
3.468 * [backup-simplify]: Simplify kx into kx
3.468 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.468 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.468 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.468 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
3.468 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
3.468 * [taylor]: Taking taylor expansion of -1 in th
3.468 * [backup-simplify]: Simplify -1 into -1
3.468 * [taylor]: Taking taylor expansion of kx in th
3.468 * [backup-simplify]: Simplify kx into kx
3.468 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.468 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.468 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.468 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.469 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.469 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.469 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.469 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.469 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.469 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.469 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.469 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.469 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.469 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.469 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.470 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.470 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.470 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.470 * [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)))
3.471 * [backup-simplify]: Simplify (+ 0) into 0
3.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.471 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.475 * [backup-simplify]: Simplify (+ 0 0) into 0
3.475 * [backup-simplify]: Simplify (+ 0) into 0
3.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.476 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.477 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.478 * [backup-simplify]: Simplify (+ 0 0) into 0
3.478 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.478 * [backup-simplify]: Simplify (+ 0) into 0
3.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.479 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.479 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.480 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.480 * [backup-simplify]: Simplify (+ 0 0) into 0
3.481 * [backup-simplify]: Simplify (+ 0) into 0
3.481 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.481 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.482 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.483 * [backup-simplify]: Simplify (+ 0 0) into 0
3.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.483 * [backup-simplify]: Simplify (+ 0 0) into 0
3.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.484 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.484 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.484 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.484 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.484 * [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)))))
3.484 * [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
3.484 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
3.484 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
3.485 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
3.485 * [taylor]: Taking taylor expansion of -1 in ky
3.485 * [backup-simplify]: Simplify -1 into -1
3.485 * [taylor]: Taking taylor expansion of th in ky
3.485 * [backup-simplify]: Simplify th into th
3.485 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.485 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.485 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.485 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.485 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.485 * [taylor]: Taking taylor expansion of -1 in ky
3.485 * [backup-simplify]: Simplify -1 into -1
3.485 * [taylor]: Taking taylor expansion of ky in ky
3.485 * [backup-simplify]: Simplify 0 into 0
3.485 * [backup-simplify]: Simplify 1 into 1
3.485 * [backup-simplify]: Simplify (/ -1 1) into -1
3.486 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
3.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
3.486 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
3.486 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
3.486 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.486 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.486 * [taylor]: Taking taylor expansion of -1 in ky
3.486 * [backup-simplify]: Simplify -1 into -1
3.486 * [taylor]: Taking taylor expansion of kx in ky
3.486 * [backup-simplify]: Simplify kx into kx
3.486 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.486 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.486 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.486 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.486 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.486 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.486 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
3.486 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.486 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.486 * [taylor]: Taking taylor expansion of -1 in ky
3.486 * [backup-simplify]: Simplify -1 into -1
3.486 * [taylor]: Taking taylor expansion of ky in ky
3.486 * [backup-simplify]: Simplify 0 into 0
3.486 * [backup-simplify]: Simplify 1 into 1
3.487 * [backup-simplify]: Simplify (/ -1 1) into -1
3.487 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.487 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.487 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.487 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.488 * [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)))
3.488 * [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))))
3.488 * [backup-simplify]: Simplify (+ 0) into 0
3.489 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.489 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.490 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.490 * [backup-simplify]: Simplify (+ 0 0) into 0
3.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.491 * [backup-simplify]: Simplify (+ 0 0) into 0
3.491 * [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
3.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.491 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.491 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.491 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.491 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.492 * [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)))))
3.492 * [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
3.492 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
3.492 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
3.492 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
3.492 * [taylor]: Taking taylor expansion of -1 in kx
3.492 * [backup-simplify]: Simplify -1 into -1
3.492 * [taylor]: Taking taylor expansion of th in kx
3.492 * [backup-simplify]: Simplify th into th
3.492 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
3.492 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
3.492 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
3.492 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.492 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.492 * [taylor]: Taking taylor expansion of -1 in kx
3.492 * [backup-simplify]: Simplify -1 into -1
3.492 * [taylor]: Taking taylor expansion of ky in kx
3.492 * [backup-simplify]: Simplify ky into ky
3.492 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.492 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.492 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
3.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.492 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.492 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.492 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.492 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.492 * [taylor]: Taking taylor expansion of -1 in kx
3.492 * [backup-simplify]: Simplify -1 into -1
3.492 * [taylor]: Taking taylor expansion of kx in kx
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.493 * [backup-simplify]: Simplify (/ -1 1) into -1
3.493 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.493 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.493 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.493 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.493 * [taylor]: Taking taylor expansion of -1 in kx
3.493 * [backup-simplify]: Simplify -1 into -1
3.493 * [taylor]: Taking taylor expansion of ky in kx
3.493 * [backup-simplify]: Simplify ky into ky
3.493 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.493 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.493 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.493 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.493 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.493 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.493 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.493 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.494 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.494 * [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)))
3.494 * [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))))
3.494 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.494 * [backup-simplify]: Simplify (+ 0) into 0
3.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.495 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.495 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.496 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.496 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [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
3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.497 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
3.497 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
3.497 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
3.497 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.497 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.497 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.497 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
3.497 * [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)))))
3.497 * [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)))))
3.498 * [backup-simplify]: Simplify (+ 0) into 0
3.498 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.498 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.499 * [backup-simplify]: Simplify (+ 0 0) into 0
3.499 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.500 * [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
3.500 * [taylor]: Taking taylor expansion of 0 in ky
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [taylor]: Taking taylor expansion of 0 in kx
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify (+ 0) into 0
3.500 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
3.500 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
3.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.501 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
3.501 * [backup-simplify]: Simplify (+ 0 0) into 0
3.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.502 * [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
3.502 * [taylor]: Taking taylor expansion of 0 in kx
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify (+ 0) into 0
3.502 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.502 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.503 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.503 * [backup-simplify]: Simplify (+ 0 0) into 0
3.504 * [backup-simplify]: Simplify (+ 0) into 0
3.504 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
3.504 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
3.505 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.505 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.505 * [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
3.505 * [backup-simplify]: Simplify 0 into 0
3.506 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.507 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.507 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.508 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.509 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.509 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.509 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.510 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.510 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.510 * [backup-simplify]: Simplify (+ 0 0) into 0
3.511 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.511 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.512 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.512 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.513 * [backup-simplify]: Simplify (+ 0 0) into 0
3.513 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.514 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.514 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.514 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.515 * [backup-simplify]: Simplify (+ 0 0) into 0
3.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.516 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.516 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.517 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.517 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.517 * [backup-simplify]: Simplify (+ 0 0) into 0
3.517 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.518 * [backup-simplify]: Simplify (+ 0 0) into 0
3.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.520 * [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
3.520 * [taylor]: Taking taylor expansion of 0 in ky
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [taylor]: Taking taylor expansion of 0 in kx
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [taylor]: Taking taylor expansion of 0 in kx
3.520 * [backup-simplify]: Simplify 0 into 0
3.520 * [backup-simplify]: Simplify 0 into 0
3.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.522 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.522 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.523 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.523 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.523 * [backup-simplify]: Simplify (+ 0 0) into 0
3.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.524 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.525 * [backup-simplify]: Simplify (+ 0 0) into 0
3.526 * [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
3.527 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
3.528 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.529 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
3.529 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
3.529 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.530 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
3.530 * [backup-simplify]: Simplify (+ 0 0) into 0
3.531 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.532 * [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
3.532 * [taylor]: Taking taylor expansion of 0 in kx
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [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)))
3.532 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2)
3.532 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
3.533 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
3.533 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
3.533 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.533 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
3.533 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
3.533 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.533 * [taylor]: Taking taylor expansion of ky in kx
3.533 * [backup-simplify]: Simplify ky into ky
3.533 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.533 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.533 * [taylor]: Taking taylor expansion of (sin ky) in kx
3.533 * [taylor]: Taking taylor expansion of ky in kx
3.533 * [backup-simplify]: Simplify ky into ky
3.533 * [backup-simplify]: Simplify (sin ky) into (sin ky)
3.533 * [backup-simplify]: Simplify (cos ky) into (cos ky)
3.533 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
3.533 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.533 * [taylor]: Taking taylor expansion of kx in kx
3.533 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify 1 into 1
3.533 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.533 * [taylor]: Taking taylor expansion of kx in kx
3.533 * [backup-simplify]: Simplify 0 into 0
3.533 * [backup-simplify]: Simplify 1 into 1
3.533 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.533 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.533 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.533 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
3.534 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
3.534 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
3.534 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
3.534 * [backup-simplify]: Simplify (* 0 0) into 0
3.534 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
3.534 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
3.535 * [backup-simplify]: Simplify (+ 0) into 0
3.535 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.536 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.536 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.537 * [backup-simplify]: Simplify (+ 0 0) into 0
3.537 * [backup-simplify]: Simplify (+ 0) into 0
3.538 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
3.539 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.539 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
3.539 * [backup-simplify]: Simplify (+ 0 0) into 0
3.539 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
3.540 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.542 * [backup-simplify]: Simplify (+ 0 0) into 0
3.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
3.542 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.542 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.542 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.542 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.542 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.542 * [taylor]: Taking taylor expansion of ky in ky
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify 1 into 1
3.542 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.542 * [taylor]: Taking taylor expansion of ky in ky
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify 1 into 1
3.542 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.542 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.542 * [taylor]: Taking taylor expansion of kx in ky
3.542 * [backup-simplify]: Simplify kx into kx
3.542 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.543 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.543 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.543 * [taylor]: Taking taylor expansion of kx in ky
3.543 * [backup-simplify]: Simplify kx into kx
3.543 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.543 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.543 * [backup-simplify]: Simplify (* 0 0) into 0
3.543 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.543 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.543 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.543 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.543 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.543 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.544 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.544 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.544 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.546 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.546 * [backup-simplify]: Simplify (+ 0) into 0
3.546 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.547 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.547 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.547 * [backup-simplify]: Simplify (+ 0 0) into 0
3.547 * [backup-simplify]: Simplify (+ 0) into 0
3.548 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.548 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.549 * [backup-simplify]: Simplify (+ 0 0) into 0
3.549 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.549 * [backup-simplify]: Simplify (+ 0 0) into 0
3.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.549 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
3.549 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.549 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
3.549 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
3.549 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.549 * [taylor]: Taking taylor expansion of ky in ky
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.549 * [taylor]: Taking taylor expansion of (sin ky) in ky
3.549 * [taylor]: Taking taylor expansion of ky in ky
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.549 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
3.549 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.549 * [taylor]: Taking taylor expansion of kx in ky
3.549 * [backup-simplify]: Simplify kx into kx
3.549 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.549 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.549 * [taylor]: Taking taylor expansion of (sin kx) in ky
3.549 * [taylor]: Taking taylor expansion of kx in ky
3.549 * [backup-simplify]: Simplify kx into kx
3.549 * [backup-simplify]: Simplify (sin kx) into (sin kx)
3.550 * [backup-simplify]: Simplify (cos kx) into (cos kx)
3.550 * [backup-simplify]: Simplify (* 0 0) into 0
3.550 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.550 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.550 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.550 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
3.550 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
3.550 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
3.550 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
3.550 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
3.550 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
3.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.551 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.552 * [backup-simplify]: Simplify (+ 0) into 0
3.552 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.553 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.553 * [backup-simplify]: Simplify (+ 0 0) into 0
3.553 * [backup-simplify]: Simplify (+ 0) into 0
3.553 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
3.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.554 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
3.554 * [backup-simplify]: Simplify (+ 0 0) into 0
3.554 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
3.555 * [backup-simplify]: Simplify (+ 0 0) into 0
3.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
3.555 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.555 * [taylor]: Taking taylor expansion of kx in kx
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 1 into 1
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [taylor]: Taking taylor expansion of 0 in kx
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.555 * [backup-simplify]: Simplify 1 into 1
3.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.557 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.558 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.558 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.559 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.560 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
3.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.561 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
3.561 * [backup-simplify]: Simplify (+ 0 0) into 0
3.561 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
3.561 * [backup-simplify]: Simplify (+ 1 0) into 1
3.562 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
3.562 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
3.562 * [taylor]: Taking taylor expansion of 1/2 in kx
3.562 * [backup-simplify]: Simplify 1/2 into 1/2
3.562 * [taylor]: Taking taylor expansion of (sin kx) in kx
3.562 * [taylor]: Taking taylor expansion of kx in kx
3.562 * [backup-simplify]: Simplify 0 into 0
3.562 * [backup-simplify]: Simplify 1 into 1
3.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
3.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.563 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify 0 into 0
3.564 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.564 * [backup-simplify]: Simplify 0 into 0
3.565 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.566 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.567 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
3.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.568 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.569 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.569 * [backup-simplify]: Simplify (+ 0 0) into 0
3.570 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.570 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.571 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.572 * [backup-simplify]: Simplify (+ 0 0) into 0
3.572 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
3.572 * [backup-simplify]: Simplify (+ 0 0) into 0
3.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
3.573 * [taylor]: Taking taylor expansion of 0 in kx
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 0 into 0
3.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
3.575 * [backup-simplify]: Simplify 1/12 into 1/12
3.575 * [backup-simplify]: Simplify 0 into 0
3.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
3.577 * [backup-simplify]: Simplify -1/6 into -1/6
3.577 * [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)))
3.578 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
3.578 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
3.578 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
3.578 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.578 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
3.578 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
3.578 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.578 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.578 * [taylor]: Taking taylor expansion of ky in kx
3.578 * [backup-simplify]: Simplify ky into ky
3.578 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.578 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.578 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.578 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.578 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.578 * [taylor]: Taking taylor expansion of ky in kx
3.578 * [backup-simplify]: Simplify ky into ky
3.578 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.578 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.578 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.578 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
3.578 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.578 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.578 * [taylor]: Taking taylor expansion of kx in kx
3.578 * [backup-simplify]: Simplify 0 into 0
3.578 * [backup-simplify]: Simplify 1 into 1
3.579 * [backup-simplify]: Simplify (/ 1 1) into 1
3.579 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.579 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.579 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.579 * [taylor]: Taking taylor expansion of kx in kx
3.579 * [backup-simplify]: Simplify 0 into 0
3.579 * [backup-simplify]: Simplify 1 into 1
3.580 * [backup-simplify]: Simplify (/ 1 1) into 1
3.580 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.580 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.580 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.580 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.580 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.580 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.580 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.580 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.580 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.581 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.581 * [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)))
3.583 * [backup-simplify]: Simplify (+ 0) into 0
3.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.584 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.584 * [backup-simplify]: Simplify (+ 0 0) into 0
3.585 * [backup-simplify]: Simplify (+ 0) into 0
3.585 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.586 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.587 * [backup-simplify]: Simplify (+ 0 0) into 0
3.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.587 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.587 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.587 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.587 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.587 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.587 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.587 * [taylor]: Taking taylor expansion of ky in ky
3.587 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify 1 into 1
3.587 * [backup-simplify]: Simplify (/ 1 1) into 1
3.587 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.587 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.587 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.587 * [taylor]: Taking taylor expansion of ky in ky
3.587 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify 1 into 1
3.588 * [backup-simplify]: Simplify (/ 1 1) into 1
3.588 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.588 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.588 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.588 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.588 * [taylor]: Taking taylor expansion of kx in ky
3.588 * [backup-simplify]: Simplify kx into kx
3.588 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.588 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.588 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.588 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.588 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.588 * [taylor]: Taking taylor expansion of kx in ky
3.588 * [backup-simplify]: Simplify kx into kx
3.588 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.588 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.588 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.588 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.588 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.588 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.588 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.588 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.588 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.588 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.588 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.589 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.589 * [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)))
3.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.589 * [backup-simplify]: Simplify (+ 0) into 0
3.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.590 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.590 * [backup-simplify]: Simplify (+ 0 0) into 0
3.591 * [backup-simplify]: Simplify (+ 0) into 0
3.591 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.592 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.592 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.592 * [backup-simplify]: Simplify (+ 0 0) into 0
3.592 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.592 * [backup-simplify]: Simplify (+ 0 0) into 0
3.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.593 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
3.593 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
3.593 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
3.593 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
3.593 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.593 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.593 * [taylor]: Taking taylor expansion of ky in ky
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 1 into 1
3.593 * [backup-simplify]: Simplify (/ 1 1) into 1
3.593 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.593 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
3.593 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
3.593 * [taylor]: Taking taylor expansion of ky in ky
3.593 * [backup-simplify]: Simplify 0 into 0
3.593 * [backup-simplify]: Simplify 1 into 1
3.593 * [backup-simplify]: Simplify (/ 1 1) into 1
3.593 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.593 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
3.593 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.593 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.593 * [taylor]: Taking taylor expansion of kx in ky
3.593 * [backup-simplify]: Simplify kx into kx
3.594 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.594 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.594 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.594 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
3.594 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
3.594 * [taylor]: Taking taylor expansion of kx in ky
3.594 * [backup-simplify]: Simplify kx into kx
3.594 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
3.594 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.594 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
3.594 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.594 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.594 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.594 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.594 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
3.594 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
3.594 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
3.594 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.594 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.594 * [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)))
3.595 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.595 * [backup-simplify]: Simplify (+ 0) into 0
3.595 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.596 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.596 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.596 * [backup-simplify]: Simplify (+ 0 0) into 0
3.596 * [backup-simplify]: Simplify (+ 0) into 0
3.597 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
3.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
3.598 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.599 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
3.599 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
3.599 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
3.599 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
3.599 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
3.599 * [taylor]: Taking taylor expansion of kx in kx
3.599 * [backup-simplify]: Simplify 0 into 0
3.599 * [backup-simplify]: Simplify 1 into 1
3.599 * [backup-simplify]: Simplify (/ 1 1) into 1
3.599 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
3.599 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
3.599 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
3.599 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
3.599 * [taylor]: Taking taylor expansion of ky in kx
3.599 * [backup-simplify]: Simplify ky into ky
3.599 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
3.599 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
3.600 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
3.600 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
3.600 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
3.600 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
3.600 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
3.600 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
3.600 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
3.600 * [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)))
3.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
3.601 * [backup-simplify]: Simplify (+ 0) into 0
3.601 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
3.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
3.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.602 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
3.602 * [backup-simplify]: Simplify (+ 0 0) into 0
3.602 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
3.603 * [backup-simplify]: Simplify (+ 0 0) into 0
3.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.603 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
3.603 * [taylor]: Taking taylor expansion of 0 in kx
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.604 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.605 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.606 * [backup-simplify]: Simplify (+ 0 0) into 0
3.606 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.607 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.608 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.608 * [backup-simplify]: Simplify (+ 0 0) into 0
3.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.609 * [backup-simplify]: Simplify (+ 0 0) into 0
3.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.609 * [taylor]: Taking taylor expansion of 0 in kx
3.609 * [backup-simplify]: Simplify 0 into 0
3.609 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
3.611 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.612 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.613 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.613 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.614 * [backup-simplify]: Simplify (+ 0 0) into 0
3.614 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
3.615 * [backup-simplify]: Simplify (+ 0 0) into 0
3.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.616 * [backup-simplify]: Simplify 0 into 0
3.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
3.618 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.620 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.621 * [backup-simplify]: Simplify (+ 0 0) into 0
3.622 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.623 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.625 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.626 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.626 * [backup-simplify]: Simplify (+ 0 0) into 0
3.627 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
3.628 * [backup-simplify]: Simplify (+ 0 0) into 0
3.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
3.629 * [taylor]: Taking taylor expansion of 0 in kx
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [backup-simplify]: Simplify 0 into 0
3.629 * [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)))
3.629 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
3.629 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
3.629 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
3.629 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.629 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
3.629 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
3.629 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.629 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.629 * [taylor]: Taking taylor expansion of -1 in kx
3.629 * [backup-simplify]: Simplify -1 into -1
3.629 * [taylor]: Taking taylor expansion of ky in kx
3.629 * [backup-simplify]: Simplify ky into ky
3.630 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.630 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.630 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.630 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.630 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.630 * [taylor]: Taking taylor expansion of -1 in kx
3.630 * [backup-simplify]: Simplify -1 into -1
3.630 * [taylor]: Taking taylor expansion of ky in kx
3.630 * [backup-simplify]: Simplify ky into ky
3.630 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.630 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.630 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.630 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
3.630 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.630 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.630 * [taylor]: Taking taylor expansion of -1 in kx
3.630 * [backup-simplify]: Simplify -1 into -1
3.630 * [taylor]: Taking taylor expansion of kx in kx
3.630 * [backup-simplify]: Simplify 0 into 0
3.630 * [backup-simplify]: Simplify 1 into 1
3.631 * [backup-simplify]: Simplify (/ -1 1) into -1
3.631 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.631 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.631 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.631 * [taylor]: Taking taylor expansion of -1 in kx
3.631 * [backup-simplify]: Simplify -1 into -1
3.631 * [taylor]: Taking taylor expansion of kx in kx
3.631 * [backup-simplify]: Simplify 0 into 0
3.631 * [backup-simplify]: Simplify 1 into 1
3.631 * [backup-simplify]: Simplify (/ -1 1) into -1
3.631 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.632 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.632 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.632 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.632 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.632 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.632 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.632 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.632 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.632 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.633 * [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)))
3.633 * [backup-simplify]: Simplify (+ 0) into 0
3.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.634 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.635 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.635 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.635 * [backup-simplify]: Simplify (+ 0 0) into 0
3.636 * [backup-simplify]: Simplify (+ 0) into 0
3.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.636 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.638 * [backup-simplify]: Simplify (+ 0 0) into 0
3.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.639 * [backup-simplify]: Simplify (+ 0 0) into 0
3.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.639 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.639 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.639 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.639 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.639 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.639 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.639 * [taylor]: Taking taylor expansion of -1 in ky
3.639 * [backup-simplify]: Simplify -1 into -1
3.639 * [taylor]: Taking taylor expansion of ky in ky
3.639 * [backup-simplify]: Simplify 0 into 0
3.639 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (/ -1 1) into -1
3.640 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.640 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.640 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.640 * [taylor]: Taking taylor expansion of -1 in ky
3.640 * [backup-simplify]: Simplify -1 into -1
3.640 * [taylor]: Taking taylor expansion of ky in ky
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [backup-simplify]: Simplify (/ -1 1) into -1
3.641 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.641 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.641 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.641 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.641 * [taylor]: Taking taylor expansion of -1 in ky
3.641 * [backup-simplify]: Simplify -1 into -1
3.641 * [taylor]: Taking taylor expansion of kx in ky
3.641 * [backup-simplify]: Simplify kx into kx
3.641 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.641 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.641 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.641 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.641 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.641 * [taylor]: Taking taylor expansion of -1 in ky
3.641 * [backup-simplify]: Simplify -1 into -1
3.641 * [taylor]: Taking taylor expansion of kx in ky
3.641 * [backup-simplify]: Simplify kx into kx
3.641 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.641 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.641 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.641 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.642 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.642 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.642 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.642 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.642 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.642 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.642 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.642 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.643 * [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)))
3.643 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.643 * [backup-simplify]: Simplify (+ 0) into 0
3.644 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.644 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.645 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.645 * [backup-simplify]: Simplify (+ 0 0) into 0
3.646 * [backup-simplify]: Simplify (+ 0) into 0
3.646 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.646 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.648 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.648 * [backup-simplify]: Simplify (+ 0 0) into 0
3.648 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.649 * [backup-simplify]: Simplify (+ 0 0) into 0
3.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.649 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
3.649 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
3.649 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
3.649 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
3.649 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.649 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.649 * [taylor]: Taking taylor expansion of -1 in ky
3.649 * [backup-simplify]: Simplify -1 into -1
3.649 * [taylor]: Taking taylor expansion of ky in ky
3.649 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify 1 into 1
3.650 * [backup-simplify]: Simplify (/ -1 1) into -1
3.650 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.650 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
3.650 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
3.650 * [taylor]: Taking taylor expansion of -1 in ky
3.650 * [backup-simplify]: Simplify -1 into -1
3.650 * [taylor]: Taking taylor expansion of ky in ky
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 1 into 1
3.650 * [backup-simplify]: Simplify (/ -1 1) into -1
3.650 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.650 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
3.651 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.651 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.651 * [taylor]: Taking taylor expansion of -1 in ky
3.651 * [backup-simplify]: Simplify -1 into -1
3.651 * [taylor]: Taking taylor expansion of kx in ky
3.651 * [backup-simplify]: Simplify kx into kx
3.651 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.651 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.651 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.651 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
3.651 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
3.651 * [taylor]: Taking taylor expansion of -1 in ky
3.651 * [backup-simplify]: Simplify -1 into -1
3.651 * [taylor]: Taking taylor expansion of kx in ky
3.651 * [backup-simplify]: Simplify kx into kx
3.651 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
3.651 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.651 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
3.651 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.651 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.651 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.652 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.652 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
3.652 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
3.652 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
3.652 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.652 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.652 * [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)))
3.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.653 * [backup-simplify]: Simplify (+ 0) into 0
3.653 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.654 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.655 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.655 * [backup-simplify]: Simplify (+ 0 0) into 0
3.656 * [backup-simplify]: Simplify (+ 0) into 0
3.656 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
3.656 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
3.657 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.657 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
3.659 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
3.659 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
3.659 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
3.659 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
3.659 * [taylor]: Taking taylor expansion of -1 in kx
3.659 * [backup-simplify]: Simplify -1 into -1
3.659 * [taylor]: Taking taylor expansion of kx in kx
3.659 * [backup-simplify]: Simplify 0 into 0
3.659 * [backup-simplify]: Simplify 1 into 1
3.659 * [backup-simplify]: Simplify (/ -1 1) into -1
3.659 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
3.659 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
3.659 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
3.659 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
3.659 * [taylor]: Taking taylor expansion of -1 in kx
3.660 * [backup-simplify]: Simplify -1 into -1
3.660 * [taylor]: Taking taylor expansion of ky in kx
3.660 * [backup-simplify]: Simplify ky into ky
3.660 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
3.660 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
3.660 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
3.660 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
3.660 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
3.660 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
3.660 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
3.660 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
3.660 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
3.661 * [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)))
3.661 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
3.661 * [backup-simplify]: Simplify (+ 0) into 0
3.662 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
3.662 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
3.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
3.663 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
3.663 * [backup-simplify]: Simplify (+ 0 0) into 0
3.664 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
3.664 * [backup-simplify]: Simplify (+ 0 0) into 0
3.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.664 * [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)))
3.665 * [taylor]: Taking taylor expansion of 0 in kx
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.667 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.667 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.668 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.669 * [backup-simplify]: Simplify (+ 0 0) into 0
3.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.670 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
3.670 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
3.672 * [backup-simplify]: Simplify (+ 0 0) into 0
3.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.673 * [backup-simplify]: Simplify (+ 0 0) into 0
3.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.674 * [taylor]: Taking taylor expansion of 0 in kx
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
3.675 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
3.676 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
3.676 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
3.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
3.678 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
3.678 * [backup-simplify]: Simplify (+ 0 0) into 0
3.678 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.680 * [backup-simplify]: Simplify 0 into 0
3.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
3.682 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.683 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.686 * [backup-simplify]: Simplify (+ 0 0) into 0
3.687 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
3.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.688 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
3.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
3.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
3.690 * [backup-simplify]: Simplify (+ 0 0) into 0
3.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
3.691 * [backup-simplify]: Simplify (+ 0 0) into 0
3.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
3.692 * [taylor]: Taking taylor expansion of 0 in kx
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [backup-simplify]: Simplify 0 into 0
3.692 * [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)))
3.692 * * * [progress]: simplifying candidates
3.692 * * * * [progress]: [ 1 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.692 * * * * [progress]: [ 2 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.692 * * * * [progress]: [ 3 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (sin ky) (hypot (sin ky) (sin kx))) 1)))>
3.692 * * * * [progress]: [ 4 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
3.692 * * * * [progress]: [ 5 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.692 * * * * [progress]: [ 6 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.692 * * * * [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)))))))>
3.692 * * * * [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)))))))>
3.692 * * * * [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)))))))>
3.692 * * * * [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)))))))>
3.692 * * * * [progress]: [ 11 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- (sin ky)) (- (hypot (sin ky) (sin kx))))))>
3.692 * * * * [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)))))))>
3.692 * * * * [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)))))))>
3.693 * * * * [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))))))>
3.693 * * * * [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)))))))>
3.693 * * * * [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)))))))>
3.693 * * * * [progress]: [ 17 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))))>
3.693 * * * * [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)))))))>
3.693 * * * * [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)))))))>
3.693 * * * * [progress]: [ 20 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.693 * * * * [progress]: [ 21 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.693 * * * * [progress]: [ 22 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sin ky) (/ 1 (hypot (sin ky) (sin kx))))))>
3.693 * * * * [progress]: [ 23 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
3.693 * * * * [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))))))>
3.693 * * * * [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))))))>
3.693 * * * * [progress]: [ 26 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ (sin ky) 1) (hypot (sin ky) (sin kx)))))>
3.693 * * * * [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))))))>
3.693 * * * * [progress]: [ 28 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt (sin ky)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
3.693 * * * * [progress]: [ 29 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
3.693 * * * * [progress]: [ 30 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.693 * * * * [progress]: [ 31 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.693 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.693 * * * * [progress]: [ 33 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
3.693 * * * * [progress]: [ 34 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))) 1))>
3.693 * * * * [progress]: [ 35 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (sin ky)) (log (hypot (sin ky) (sin kx)))))))>
3.693 * * * * [progress]: [ 36 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.693 * * * * [progress]: [ 37 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.693 * * * * [progress]: [ 38 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.693 * * * * [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)))))))>
3.693 * * * * [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)))))))>
3.694 * * * * [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)))))))>
3.694 * * * * [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)))))))>
3.694 * * * * [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)))))))>
3.694 * * * * [progress]: [ 44 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.694 * * * * [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)))))))>
3.694 * * * * [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)))))))>
3.694 * * * * [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))))))>
3.694 * * * * [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))))))>
3.694 * * * * [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))))))>
3.694 * * * * [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))))))>
3.694 * * * * [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)))))>
3.694 * * * * [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))))))>
3.694 * * * * [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))))))>
3.694 * * * * [progress]: [ 54 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt (sin ky)) 1)) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx)))))>
3.694 * * * * [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))))))>
3.694 * * * * [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))))))>
3.694 * * * * [progress]: [ 57 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
3.694 * * * * [progress]: [ 58 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ (sin ky) (hypot (sin ky) (sin kx)))))>
3.694 * * * * [progress]: [ 59 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sin ky)) (/ 1 (hypot (sin ky) (sin kx)))))>
3.694 * * * * [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))))))>
3.694 * * * * [progress]: [ 61 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.694 * * * * [progress]: [ 62 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx))))))>
3.694 * * * * [progress]: [ 63 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))))>
3.694 * * * * [progress]: [ 64 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
3.694 * * * * [progress]: [ 65 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin ky) (hypot (sin ky) (sin kx))) (sin th)))>
3.694 * * * * [progress]: [ 66 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log1p (expm1 (hypot (sin ky) (sin kx)))))))>
3.694 * * * * [progress]: [ 67 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (expm1 (log1p (hypot (sin ky) (sin kx)))))))>
3.694 * * * * [progress]: [ 68 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))))>
3.695 * * * * [progress]: [ 69 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (pow (hypot (sin ky) (sin kx)) 1))))>
3.695 * * * * [progress]: [ 70 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (exp (log (hypot (sin ky) (sin kx)))))))>
3.695 * * * * [progress]: [ 71 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (log (exp (hypot (sin ky) (sin kx)))))))>
3.695 * * * * [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)))))))>
3.695 * * * * [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)))))))>
3.695 * * * * [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)))))))>
3.695 * * * * [progress]: [ 75 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (* 1 (hypot (sin ky) (sin kx))))))>
3.695 * * * * [progress]: [ 76 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))))))>
3.695 * * * * [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))))))>
3.695 * * * * [progress]: [ 78 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
3.695 * * * * [progress]: [ 79 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
3.695 * * * * [progress]: [ 80 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
3.695 * * * * [progress]: [ 81 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
3.695 * * * * [progress]: [ 82 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
3.695 * * * * [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))))))>
3.695 * * * * [progress]: [ 84 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
3.695 * * * * [progress]: [ 85 / 85 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))>
3.696 * [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)))
3.697 * * [simplify]: iteration 0: 133 enodes
3.733 * * [simplify]: iteration 1: 306 enodes
3.851 * * [simplify]: iteration 2: 1013 enodes
4.525 * * [simplify]: iteration 3: 2946 enodes
5.249 * * [simplify]: iteration complete: 5003 enodes
5.249 * * [simplify]: Extracting #0: cost 76 inf + 0
5.252 * * [simplify]: Extracting #1: cost 810 inf + 1
5.258 * * [simplify]: Extracting #2: cost 1317 inf + 4016
5.277 * * [simplify]: Extracting #3: cost 1109 inf + 61899
5.333 * * [simplify]: Extracting #4: cost 318 inf + 323726
5.467 * * [simplify]: Extracting #5: cost 16 inf + 439846
5.571 * * [simplify]: Extracting #6: cost 0 inf + 443056
5.655 * [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))
5.659 * * * [progress]: adding candidates to table
6.184 * * [progress]: iteration 2 / 4
6.184 * * * [progress]: picking best candidate
6.294 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
6.294 * * * [progress]: localizing error
6.327 * * * [progress]: generating rewritten candidates
6.327 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
6.335 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
6.367 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2)
6.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1)
6.380 * * * [progress]: generating series expansions
6.380 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
6.381 * [backup-simplify]: Simplify (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) into (/ (sin ky) (hypot (sin ky) (sin kx)))
6.381 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in (ky kx) around 0
6.381 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in kx
6.381 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.381 * [taylor]: Taking taylor expansion of ky in kx
6.381 * [backup-simplify]: Simplify ky into ky
6.381 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.381 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.381 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
6.381 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.381 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
6.381 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
6.381 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.381 * [taylor]: Taking taylor expansion of ky in kx
6.381 * [backup-simplify]: Simplify ky into ky
6.381 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.381 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.381 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.381 * [taylor]: Taking taylor expansion of ky in kx
6.381 * [backup-simplify]: Simplify ky into ky
6.381 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.381 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.381 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.381 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.381 * [taylor]: Taking taylor expansion of kx in kx
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.381 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.381 * [taylor]: Taking taylor expansion of kx in kx
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.381 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.381 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.381 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.381 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.381 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.382 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.382 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.382 * [backup-simplify]: Simplify (* 0 0) into 0
6.382 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
6.382 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.383 * [backup-simplify]: Simplify (+ 0) into 0
6.383 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.384 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.384 * [backup-simplify]: Simplify (+ 0 0) into 0
6.384 * [backup-simplify]: Simplify (+ 0) into 0
6.384 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.385 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.385 * [backup-simplify]: Simplify (+ 0 0) into 0
6.385 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.386 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.387 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.387 * [backup-simplify]: Simplify (+ 0 0) into 0
6.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.387 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.387 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.387 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.387 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
6.387 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
6.387 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.387 * [taylor]: Taking taylor expansion of ky in ky
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
6.387 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.387 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
6.387 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.387 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.387 * [taylor]: Taking taylor expansion of ky in ky
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.387 * [taylor]: Taking taylor expansion of ky in ky
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 1 into 1
6.387 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.388 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.388 * [taylor]: Taking taylor expansion of kx in ky
6.388 * [backup-simplify]: Simplify kx into kx
6.388 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.388 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.388 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.388 * [taylor]: Taking taylor expansion of kx in ky
6.388 * [backup-simplify]: Simplify kx into kx
6.388 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.388 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.388 * [backup-simplify]: Simplify (* 0 0) into 0
6.388 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.388 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.388 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.388 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.388 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.388 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.388 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.388 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.388 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.389 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.390 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.390 * [backup-simplify]: Simplify (+ 0) into 0
6.390 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.391 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.391 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.391 * [backup-simplify]: Simplify (+ 0 0) into 0
6.391 * [backup-simplify]: Simplify (+ 0) into 0
6.392 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.393 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.393 * [backup-simplify]: Simplify (+ 0 0) into 0
6.398 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.398 * [backup-simplify]: Simplify (+ 0 0) into 0
6.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.399 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
6.399 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin ky) (sin kx))) in ky
6.399 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.399 * [taylor]: Taking taylor expansion of ky in ky
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 1 into 1
6.399 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
6.399 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.399 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
6.399 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.399 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.399 * [taylor]: Taking taylor expansion of ky in ky
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 1 into 1
6.399 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.399 * [taylor]: Taking taylor expansion of ky in ky
6.399 * [backup-simplify]: Simplify 0 into 0
6.399 * [backup-simplify]: Simplify 1 into 1
6.399 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.399 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.399 * [taylor]: Taking taylor expansion of kx in ky
6.399 * [backup-simplify]: Simplify kx into kx
6.399 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.399 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.399 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.400 * [taylor]: Taking taylor expansion of kx in ky
6.400 * [backup-simplify]: Simplify kx into kx
6.400 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.400 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.400 * [backup-simplify]: Simplify (* 0 0) into 0
6.400 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.400 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.400 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.400 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.400 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.400 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.400 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.400 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.400 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.401 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.402 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.402 * [backup-simplify]: Simplify (+ 0) into 0
6.402 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.403 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.403 * [backup-simplify]: Simplify (+ 0 0) into 0
6.403 * [backup-simplify]: Simplify (+ 0) into 0
6.404 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.404 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.404 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.405 * [backup-simplify]: Simplify (+ 0 0) into 0
6.405 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.405 * [backup-simplify]: Simplify (+ 0 0) into 0
6.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.406 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
6.406 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.406 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.406 * [taylor]: Taking taylor expansion of kx in kx
6.406 * [backup-simplify]: Simplify 0 into 0
6.406 * [backup-simplify]: Simplify 1 into 1
6.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.406 * [backup-simplify]: Simplify (/ 1 1) into 1
6.407 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.407 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.408 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
6.408 * [taylor]: Taking taylor expansion of 0 in kx
6.408 * [backup-simplify]: Simplify 0 into 0
6.408 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
6.410 * [backup-simplify]: Simplify 1/6 into 1/6
6.411 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.412 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.413 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.415 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.415 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.416 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.417 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.417 * [backup-simplify]: Simplify (+ 0 0) into 0
6.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.419 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.420 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.421 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.421 * [backup-simplify]: Simplify (+ 0 0) into 0
6.421 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
6.422 * [backup-simplify]: Simplify (+ 1 0) into 1
6.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
6.423 * [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)))))
6.423 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
6.423 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
6.423 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
6.423 * [taylor]: Taking taylor expansion of 1/6 in kx
6.423 * [backup-simplify]: Simplify 1/6 into 1/6
6.423 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.423 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.423 * [taylor]: Taking taylor expansion of kx in kx
6.423 * [backup-simplify]: Simplify 0 into 0
6.423 * [backup-simplify]: Simplify 1 into 1
6.424 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.425 * [backup-simplify]: Simplify (/ 1 1) into 1
6.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
6.425 * [taylor]: Taking taylor expansion of 1/2 in kx
6.425 * [backup-simplify]: Simplify 1/2 into 1/2
6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
6.425 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
6.425 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.425 * [taylor]: Taking taylor expansion of kx in kx
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 1 into 1
6.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.426 * [backup-simplify]: Simplify (* 1 1) into 1
6.426 * [backup-simplify]: Simplify (* 1 1) into 1
6.427 * [backup-simplify]: Simplify (/ 1 1) into 1
6.428 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.429 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
6.431 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.433 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
6.435 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
6.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
6.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.438 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
6.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
6.440 * [backup-simplify]: Simplify (+ 0 0) into 0
6.441 * [backup-simplify]: Simplify (- 0) into 0
6.441 * [backup-simplify]: Simplify 0 into 0
6.441 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
6.443 * [backup-simplify]: Simplify 0 into 0
6.444 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.445 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.446 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
6.447 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.447 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.449 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.449 * [backup-simplify]: Simplify (+ 0 0) into 0
6.450 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.450 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.451 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.452 * [backup-simplify]: Simplify (+ 0 0) into 0
6.452 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
6.452 * [backup-simplify]: Simplify (+ 0 0) into 0
6.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
6.453 * [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
6.453 * [taylor]: Taking taylor expansion of 0 in kx
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
6.456 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
6.458 * [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
6.459 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
6.460 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
6.462 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
6.462 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
6.463 * [backup-simplify]: Simplify (- 71/720) into -71/720
6.463 * [backup-simplify]: Simplify -71/720 into -71/720
6.463 * [backup-simplify]: Simplify 0 into 0
6.466 * [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
6.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
6.468 * [backup-simplify]: Simplify 7/360 into 7/360
6.469 * [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))))
6.469 * [backup-simplify]: Simplify (/ 1 (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
6.469 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (ky kx) around 0
6.469 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
6.469 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.469 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.469 * [taylor]: Taking taylor expansion of ky in kx
6.469 * [backup-simplify]: Simplify ky into ky
6.469 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.470 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.470 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.470 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
6.470 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
6.470 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
6.470 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
6.470 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.470 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.470 * [taylor]: Taking taylor expansion of ky in kx
6.470 * [backup-simplify]: Simplify ky into ky
6.470 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.470 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.470 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.470 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.470 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.470 * [taylor]: Taking taylor expansion of ky in kx
6.470 * [backup-simplify]: Simplify ky into ky
6.470 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.470 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.470 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.470 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
6.471 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.471 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.471 * [taylor]: Taking taylor expansion of kx in kx
6.471 * [backup-simplify]: Simplify 0 into 0
6.471 * [backup-simplify]: Simplify 1 into 1
6.471 * [backup-simplify]: Simplify (/ 1 1) into 1
6.471 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.471 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.471 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.471 * [taylor]: Taking taylor expansion of kx in kx
6.471 * [backup-simplify]: Simplify 0 into 0
6.471 * [backup-simplify]: Simplify 1 into 1
6.472 * [backup-simplify]: Simplify (/ 1 1) into 1
6.472 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.472 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.472 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.472 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.472 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.472 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.473 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.473 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.473 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.473 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.473 * [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)))
6.474 * [backup-simplify]: Simplify (+ 0) into 0
6.474 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.476 * [backup-simplify]: Simplify (+ 0 0) into 0
6.477 * [backup-simplify]: Simplify (+ 0) into 0
6.477 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.479 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.479 * [backup-simplify]: Simplify (+ 0 0) into 0
6.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.480 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.480 * [backup-simplify]: Simplify (+ 0 0) into 0
6.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.480 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.481 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.481 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.481 * [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)))
6.481 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
6.481 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.481 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.481 * [taylor]: Taking taylor expansion of ky in ky
6.481 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify 1 into 1
6.482 * [backup-simplify]: Simplify (/ 1 1) into 1
6.482 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.482 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
6.482 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
6.482 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
6.482 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.482 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.482 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.482 * [taylor]: Taking taylor expansion of ky in ky
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify 1 into 1
6.483 * [backup-simplify]: Simplify (/ 1 1) into 1
6.483 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.483 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.483 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.483 * [taylor]: Taking taylor expansion of ky in ky
6.483 * [backup-simplify]: Simplify 0 into 0
6.483 * [backup-simplify]: Simplify 1 into 1
6.483 * [backup-simplify]: Simplify (/ 1 1) into 1
6.483 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.483 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.483 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.483 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.483 * [taylor]: Taking taylor expansion of kx in ky
6.483 * [backup-simplify]: Simplify kx into kx
6.483 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.484 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.484 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.484 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.484 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.484 * [taylor]: Taking taylor expansion of kx in ky
6.484 * [backup-simplify]: Simplify kx into kx
6.484 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.484 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.484 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.484 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.484 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.484 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.484 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.484 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.485 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.485 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.485 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.485 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.485 * [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)))
6.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.486 * [backup-simplify]: Simplify (+ 0) into 0
6.487 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.488 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.488 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.488 * [backup-simplify]: Simplify (+ 0 0) into 0
6.489 * [backup-simplify]: Simplify (+ 0) into 0
6.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.491 * [backup-simplify]: Simplify (+ 0 0) into 0
6.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.492 * [backup-simplify]: Simplify (+ 0 0) into 0
6.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.493 * [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)))
6.493 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
6.493 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.493 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.493 * [taylor]: Taking taylor expansion of ky in ky
6.493 * [backup-simplify]: Simplify 0 into 0
6.493 * [backup-simplify]: Simplify 1 into 1
6.493 * [backup-simplify]: Simplify (/ 1 1) into 1
6.493 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.493 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
6.493 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
6.493 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
6.493 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.494 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.494 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.494 * [taylor]: Taking taylor expansion of ky in ky
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 1 into 1
6.494 * [backup-simplify]: Simplify (/ 1 1) into 1
6.494 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.494 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.494 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.494 * [taylor]: Taking taylor expansion of ky in ky
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 1 into 1
6.495 * [backup-simplify]: Simplify (/ 1 1) into 1
6.495 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.495 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.495 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.495 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.495 * [taylor]: Taking taylor expansion of kx in ky
6.495 * [backup-simplify]: Simplify kx into kx
6.495 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.495 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.495 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.495 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.495 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.495 * [taylor]: Taking taylor expansion of kx in ky
6.495 * [backup-simplify]: Simplify kx into kx
6.495 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.495 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.496 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.496 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.496 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.496 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.496 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.496 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.496 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.496 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.496 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.497 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.497 * [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)))
6.497 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.498 * [backup-simplify]: Simplify (+ 0) into 0
6.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.500 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.500 * [backup-simplify]: Simplify (+ 0 0) into 0
6.501 * [backup-simplify]: Simplify (+ 0) into 0
6.501 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.504 * [backup-simplify]: Simplify (+ 0 0) into 0
6.504 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.504 * [backup-simplify]: Simplify (+ 0 0) into 0
6.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.505 * [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)))
6.505 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
6.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
6.505 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
6.505 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
6.505 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
6.505 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.505 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.505 * [taylor]: Taking taylor expansion of kx in kx
6.505 * [backup-simplify]: Simplify 0 into 0
6.505 * [backup-simplify]: Simplify 1 into 1
6.506 * [backup-simplify]: Simplify (/ 1 1) into 1
6.506 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.506 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
6.506 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.506 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.506 * [taylor]: Taking taylor expansion of ky in kx
6.506 * [backup-simplify]: Simplify ky into ky
6.506 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.506 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.506 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.506 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.507 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.507 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.507 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.507 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.507 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.507 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.508 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.508 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.508 * [backup-simplify]: Simplify (+ 0) into 0
6.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.510 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.510 * [backup-simplify]: Simplify (+ 0 0) into 0
6.510 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.511 * [backup-simplify]: Simplify (+ 0 0) into 0
6.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.511 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.511 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.511 * [taylor]: Taking taylor expansion of ky in kx
6.511 * [backup-simplify]: Simplify ky into ky
6.511 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.511 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.511 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.511 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.511 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.512 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.512 * [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)))
6.512 * [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)))
6.512 * [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
6.512 * [taylor]: Taking taylor expansion of 0 in kx
6.512 * [backup-simplify]: Simplify 0 into 0
6.512 * [backup-simplify]: Simplify 0 into 0
6.513 * [backup-simplify]: Simplify (+ 0) into 0
6.513 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.514 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.514 * [backup-simplify]: Simplify (+ 0 0) into 0
6.514 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
6.514 * [backup-simplify]: Simplify 0 into 0
6.515 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.515 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.516 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.517 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.517 * [backup-simplify]: Simplify (+ 0 0) into 0
6.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.518 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.519 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.519 * [backup-simplify]: Simplify (+ 0 0) into 0
6.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.520 * [backup-simplify]: Simplify (+ 0 0) into 0
6.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.521 * [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
6.521 * [taylor]: Taking taylor expansion of 0 in kx
6.521 * [backup-simplify]: Simplify 0 into 0
6.521 * [backup-simplify]: Simplify 0 into 0
6.521 * [backup-simplify]: Simplify 0 into 0
6.523 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.524 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.524 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.525 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.525 * [backup-simplify]: Simplify (+ 0 0) into 0
6.526 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.526 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.527 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.528 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.528 * [backup-simplify]: Simplify (+ 0 0) into 0
6.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.529 * [backup-simplify]: Simplify (+ 0 0) into 0
6.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.530 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.530 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
6.531 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.533 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.533 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.534 * [backup-simplify]: Simplify (+ 0 0) into 0
6.534 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.535 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.536 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.537 * [backup-simplify]: Simplify (+ 0 0) into 0
6.537 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
6.537 * [backup-simplify]: Simplify (+ 0 0) into 0
6.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.540 * [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
6.540 * [taylor]: Taking taylor expansion of 0 in kx
6.540 * [backup-simplify]: Simplify 0 into 0
6.540 * [backup-simplify]: Simplify 0 into 0
6.541 * [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))
6.541 * [backup-simplify]: Simplify (/ 1 (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
6.541 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (ky kx) around 0
6.541 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
6.541 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.541 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.541 * [taylor]: Taking taylor expansion of -1 in kx
6.541 * [backup-simplify]: Simplify -1 into -1
6.541 * [taylor]: Taking taylor expansion of ky in kx
6.541 * [backup-simplify]: Simplify ky into ky
6.541 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.541 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.541 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.541 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
6.541 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
6.541 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
6.542 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
6.542 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.542 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.542 * [taylor]: Taking taylor expansion of -1 in kx
6.542 * [backup-simplify]: Simplify -1 into -1
6.542 * [taylor]: Taking taylor expansion of ky in kx
6.542 * [backup-simplify]: Simplify ky into ky
6.542 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.542 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.542 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.542 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.542 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.542 * [taylor]: Taking taylor expansion of -1 in kx
6.542 * [backup-simplify]: Simplify -1 into -1
6.542 * [taylor]: Taking taylor expansion of ky in kx
6.542 * [backup-simplify]: Simplify ky into ky
6.542 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.542 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.542 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.542 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
6.542 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.542 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.542 * [taylor]: Taking taylor expansion of -1 in kx
6.542 * [backup-simplify]: Simplify -1 into -1
6.542 * [taylor]: Taking taylor expansion of kx in kx
6.542 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify 1 into 1
6.543 * [backup-simplify]: Simplify (/ -1 1) into -1
6.543 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.543 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.543 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.543 * [taylor]: Taking taylor expansion of -1 in kx
6.543 * [backup-simplify]: Simplify -1 into -1
6.543 * [taylor]: Taking taylor expansion of kx in kx
6.543 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify 1 into 1
6.544 * [backup-simplify]: Simplify (/ -1 1) into -1
6.544 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.544 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.544 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.544 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.544 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.545 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.545 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.545 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.545 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.545 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.545 * [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)))
6.546 * [backup-simplify]: Simplify (+ 0) into 0
6.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.547 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.548 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.549 * [backup-simplify]: Simplify (+ 0 0) into 0
6.549 * [backup-simplify]: Simplify (+ 0) into 0
6.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.550 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.551 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.551 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.552 * [backup-simplify]: Simplify (+ 0 0) into 0
6.552 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.552 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.552 * [backup-simplify]: Simplify (+ 0 0) into 0
6.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.553 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.553 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.553 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.553 * [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)))
6.553 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
6.553 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.553 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.553 * [taylor]: Taking taylor expansion of -1 in ky
6.553 * [backup-simplify]: Simplify -1 into -1
6.553 * [taylor]: Taking taylor expansion of ky in ky
6.553 * [backup-simplify]: Simplify 0 into 0
6.553 * [backup-simplify]: Simplify 1 into 1
6.554 * [backup-simplify]: Simplify (/ -1 1) into -1
6.554 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.554 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
6.554 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
6.554 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
6.554 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
6.554 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.554 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.554 * [taylor]: Taking taylor expansion of -1 in ky
6.554 * [backup-simplify]: Simplify -1 into -1
6.554 * [taylor]: Taking taylor expansion of ky in ky
6.554 * [backup-simplify]: Simplify 0 into 0
6.554 * [backup-simplify]: Simplify 1 into 1
6.555 * [backup-simplify]: Simplify (/ -1 1) into -1
6.555 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.555 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.555 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.555 * [taylor]: Taking taylor expansion of -1 in ky
6.555 * [backup-simplify]: Simplify -1 into -1
6.555 * [taylor]: Taking taylor expansion of ky in ky
6.555 * [backup-simplify]: Simplify 0 into 0
6.555 * [backup-simplify]: Simplify 1 into 1
6.555 * [backup-simplify]: Simplify (/ -1 1) into -1
6.555 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.555 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
6.555 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.555 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.555 * [taylor]: Taking taylor expansion of -1 in ky
6.555 * [backup-simplify]: Simplify -1 into -1
6.555 * [taylor]: Taking taylor expansion of kx in ky
6.555 * [backup-simplify]: Simplify kx into kx
6.555 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.555 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.555 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.555 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.555 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.555 * [taylor]: Taking taylor expansion of -1 in ky
6.555 * [backup-simplify]: Simplify -1 into -1
6.555 * [taylor]: Taking taylor expansion of kx in ky
6.555 * [backup-simplify]: Simplify kx into kx
6.556 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.556 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.556 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.556 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.556 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.556 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.556 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.556 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.556 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.556 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.556 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.556 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.556 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.557 * [backup-simplify]: Simplify (+ 0) into 0
6.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.557 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.558 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.558 * [backup-simplify]: Simplify (+ 0 0) into 0
6.558 * [backup-simplify]: Simplify (+ 0) into 0
6.559 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.559 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.559 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.560 * [backup-simplify]: Simplify (+ 0 0) into 0
6.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.560 * [backup-simplify]: Simplify (+ 0 0) into 0
6.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.560 * [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)))
6.561 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
6.561 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.561 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.561 * [taylor]: Taking taylor expansion of -1 in ky
6.561 * [backup-simplify]: Simplify -1 into -1
6.561 * [taylor]: Taking taylor expansion of ky in ky
6.561 * [backup-simplify]: Simplify 0 into 0
6.561 * [backup-simplify]: Simplify 1 into 1
6.561 * [backup-simplify]: Simplify (/ -1 1) into -1
6.561 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.561 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
6.561 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
6.561 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
6.561 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
6.561 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.561 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.561 * [taylor]: Taking taylor expansion of -1 in ky
6.561 * [backup-simplify]: Simplify -1 into -1
6.561 * [taylor]: Taking taylor expansion of ky in ky
6.561 * [backup-simplify]: Simplify 0 into 0
6.561 * [backup-simplify]: Simplify 1 into 1
6.561 * [backup-simplify]: Simplify (/ -1 1) into -1
6.562 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.562 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.562 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.562 * [taylor]: Taking taylor expansion of -1 in ky
6.562 * [backup-simplify]: Simplify -1 into -1
6.562 * [taylor]: Taking taylor expansion of ky in ky
6.562 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify 1 into 1
6.562 * [backup-simplify]: Simplify (/ -1 1) into -1
6.562 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.562 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
6.562 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.562 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.562 * [taylor]: Taking taylor expansion of -1 in ky
6.562 * [backup-simplify]: Simplify -1 into -1
6.562 * [taylor]: Taking taylor expansion of kx in ky
6.562 * [backup-simplify]: Simplify kx into kx
6.562 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.562 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.562 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.562 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.562 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.562 * [taylor]: Taking taylor expansion of -1 in ky
6.562 * [backup-simplify]: Simplify -1 into -1
6.562 * [taylor]: Taking taylor expansion of kx in ky
6.562 * [backup-simplify]: Simplify kx into kx
6.562 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.562 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.562 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.562 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.563 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.563 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.563 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.563 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.563 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.563 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.563 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.563 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.563 * [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)))
6.563 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.563 * [backup-simplify]: Simplify (+ 0) into 0
6.564 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.564 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.565 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.565 * [backup-simplify]: Simplify (+ 0 0) into 0
6.565 * [backup-simplify]: Simplify (+ 0) into 0
6.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.566 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.567 * [backup-simplify]: Simplify (+ 0 0) into 0
6.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.567 * [backup-simplify]: Simplify (+ 0 0) into 0
6.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.567 * [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)))
6.567 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
6.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
6.567 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
6.567 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
6.567 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
6.567 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.567 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.567 * [taylor]: Taking taylor expansion of -1 in kx
6.568 * [backup-simplify]: Simplify -1 into -1
6.568 * [taylor]: Taking taylor expansion of kx in kx
6.568 * [backup-simplify]: Simplify 0 into 0
6.568 * [backup-simplify]: Simplify 1 into 1
6.568 * [backup-simplify]: Simplify (/ -1 1) into -1
6.568 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.568 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
6.568 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.568 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.568 * [taylor]: Taking taylor expansion of -1 in kx
6.568 * [backup-simplify]: Simplify -1 into -1
6.568 * [taylor]: Taking taylor expansion of ky in kx
6.568 * [backup-simplify]: Simplify ky into ky
6.568 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.568 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.568 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.568 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.568 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.568 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.568 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.568 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.569 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.569 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.569 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.569 * [backup-simplify]: Simplify (+ 0) into 0
6.570 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.570 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.570 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.571 * [backup-simplify]: Simplify (+ 0 0) into 0
6.571 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.571 * [backup-simplify]: Simplify (+ 0 0) into 0
6.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.571 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.572 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.572 * [taylor]: Taking taylor expansion of -1 in kx
6.572 * [backup-simplify]: Simplify -1 into -1
6.572 * [taylor]: Taking taylor expansion of ky in kx
6.572 * [backup-simplify]: Simplify ky into ky
6.572 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.572 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.572 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.572 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.572 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.572 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.572 * [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)))
6.572 * [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)))
6.573 * [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
6.573 * [taylor]: Taking taylor expansion of 0 in kx
6.573 * [backup-simplify]: Simplify 0 into 0
6.573 * [backup-simplify]: Simplify 0 into 0
6.573 * [backup-simplify]: Simplify (+ 0) into 0
6.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.574 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.575 * [backup-simplify]: Simplify (+ 0 0) into 0
6.576 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
6.576 * [backup-simplify]: Simplify 0 into 0
6.576 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.578 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.578 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.579 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.579 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.580 * [backup-simplify]: Simplify (+ 0 0) into 0
6.581 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.582 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.582 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.583 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.584 * [backup-simplify]: Simplify (+ 0 0) into 0
6.584 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.585 * [backup-simplify]: Simplify (+ 0 0) into 0
6.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.587 * [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
6.587 * [taylor]: Taking taylor expansion of 0 in kx
6.587 * [backup-simplify]: Simplify 0 into 0
6.587 * [backup-simplify]: Simplify 0 into 0
6.587 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.589 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.590 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.591 * [backup-simplify]: Simplify (+ 0 0) into 0
6.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.593 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.593 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.595 * [backup-simplify]: Simplify (+ 0 0) into 0
6.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.596 * [backup-simplify]: Simplify (+ 0 0) into 0
6.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.598 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.598 * [backup-simplify]: Simplify 0 into 0
6.599 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
6.600 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.601 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.602 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.604 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.604 * [backup-simplify]: Simplify (+ 0 0) into 0
6.605 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.606 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.607 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.608 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.609 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.609 * [backup-simplify]: Simplify (+ 0 0) into 0
6.610 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
6.611 * [backup-simplify]: Simplify (+ 0 0) into 0
6.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.613 * [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
6.613 * [taylor]: Taking taylor expansion of 0 in kx
6.613 * [backup-simplify]: Simplify 0 into 0
6.613 * [backup-simplify]: Simplify 0 into 0
6.614 * [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))
6.614 * * * * [progress]: [ 2 / 4 ] generating series at (2)
6.614 * [backup-simplify]: Simplify (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) into (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx)))
6.614 * [approximate]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
6.614 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in kx
6.614 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in kx
6.614 * [taylor]: Taking taylor expansion of (sin th) in kx
6.614 * [taylor]: Taking taylor expansion of th in kx
6.614 * [backup-simplify]: Simplify th into th
6.614 * [backup-simplify]: Simplify (sin th) into (sin th)
6.614 * [backup-simplify]: Simplify (cos th) into (cos th)
6.614 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.614 * [taylor]: Taking taylor expansion of ky in kx
6.614 * [backup-simplify]: Simplify ky into ky
6.614 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.614 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.614 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
6.615 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.615 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
6.615 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
6.615 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.615 * [taylor]: Taking taylor expansion of ky in kx
6.615 * [backup-simplify]: Simplify ky into ky
6.615 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.615 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.615 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.615 * [taylor]: Taking taylor expansion of ky in kx
6.615 * [backup-simplify]: Simplify ky into ky
6.615 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.615 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.615 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.615 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.615 * [taylor]: Taking taylor expansion of kx in kx
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [backup-simplify]: Simplify 1 into 1
6.615 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.615 * [taylor]: Taking taylor expansion of kx in kx
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [backup-simplify]: Simplify 1 into 1
6.615 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.615 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.615 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.615 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.615 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.616 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.616 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.616 * [backup-simplify]: Simplify (* 0 0) into 0
6.616 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
6.616 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.617 * [backup-simplify]: Simplify (+ 0) into 0
6.617 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.619 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.619 * [backup-simplify]: Simplify (+ 0 0) into 0
6.620 * [backup-simplify]: Simplify (+ 0) into 0
6.620 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.621 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.622 * [backup-simplify]: Simplify (+ 0 0) into 0
6.622 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.624 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.624 * [backup-simplify]: Simplify (+ 0 0) into 0
6.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.625 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.625 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.625 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.625 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.625 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.625 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.625 * [backup-simplify]: Simplify (* (sin th) (sin ky)) into (* (sin th) (sin ky))
6.625 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
6.625 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in ky
6.625 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in ky
6.625 * [taylor]: Taking taylor expansion of (sin th) in ky
6.625 * [taylor]: Taking taylor expansion of th in ky
6.625 * [backup-simplify]: Simplify th into th
6.625 * [backup-simplify]: Simplify (sin th) into (sin th)
6.625 * [backup-simplify]: Simplify (cos th) into (cos th)
6.625 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.625 * [taylor]: Taking taylor expansion of ky in ky
6.625 * [backup-simplify]: Simplify 0 into 0
6.625 * [backup-simplify]: Simplify 1 into 1
6.625 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
6.626 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.626 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
6.626 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.626 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.626 * [taylor]: Taking taylor expansion of ky in ky
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify 1 into 1
6.626 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.626 * [taylor]: Taking taylor expansion of ky in ky
6.626 * [backup-simplify]: Simplify 0 into 0
6.626 * [backup-simplify]: Simplify 1 into 1
6.626 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.626 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.626 * [taylor]: Taking taylor expansion of kx in ky
6.626 * [backup-simplify]: Simplify kx into kx
6.626 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.626 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.626 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.626 * [taylor]: Taking taylor expansion of kx in ky
6.626 * [backup-simplify]: Simplify kx into kx
6.626 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.626 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.627 * [backup-simplify]: Simplify (* 0 0) into 0
6.627 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.627 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.627 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.627 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.627 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.627 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.627 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.627 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.627 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.629 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.630 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.630 * [backup-simplify]: Simplify (+ 0) into 0
6.631 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.632 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.632 * [backup-simplify]: Simplify (+ 0 0) into 0
6.633 * [backup-simplify]: Simplify (+ 0) into 0
6.633 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.634 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.635 * [backup-simplify]: Simplify (+ 0 0) into 0
6.635 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.635 * [backup-simplify]: Simplify (+ 0 0) into 0
6.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.635 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
6.635 * [backup-simplify]: Simplify (* (cos th) 0) into 0
6.636 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
6.636 * [backup-simplify]: Simplify (* (sin th) 0) into 0
6.636 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.637 * [backup-simplify]: Simplify (+ 0) into 0
6.637 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
6.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.638 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
6.639 * [backup-simplify]: Simplify (+ 0 0) into 0
6.639 * [backup-simplify]: Simplify (+ (* (sin th) 1) (* 0 0)) into (sin th)
6.639 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
6.639 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
6.639 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
6.639 * [taylor]: Taking taylor expansion of (sin th) in th
6.639 * [taylor]: Taking taylor expansion of th in th
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify 1 into 1
6.639 * [taylor]: Taking taylor expansion of (sin ky) in th
6.639 * [taylor]: Taking taylor expansion of ky in th
6.640 * [backup-simplify]: Simplify ky into ky
6.640 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.640 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.640 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
6.640 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.640 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
6.640 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
6.640 * [taylor]: Taking taylor expansion of (sin ky) in th
6.640 * [taylor]: Taking taylor expansion of ky in th
6.640 * [backup-simplify]: Simplify ky into ky
6.640 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.640 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.640 * [taylor]: Taking taylor expansion of (sin ky) in th
6.640 * [taylor]: Taking taylor expansion of ky in th
6.640 * [backup-simplify]: Simplify ky into ky
6.640 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.640 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.640 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
6.640 * [taylor]: Taking taylor expansion of (sin kx) in th
6.640 * [taylor]: Taking taylor expansion of kx in th
6.640 * [backup-simplify]: Simplify kx into kx
6.640 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.640 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.640 * [taylor]: Taking taylor expansion of (sin kx) in th
6.640 * [taylor]: Taking taylor expansion of kx in th
6.640 * [backup-simplify]: Simplify kx into kx
6.640 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.640 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.641 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.641 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.641 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.641 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.641 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.641 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.641 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.641 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.641 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.641 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.641 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.641 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.641 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.641 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.642 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
6.642 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
6.642 * [backup-simplify]: Simplify (+ 0) into 0
6.643 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.644 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.645 * [backup-simplify]: Simplify (+ 0) into 0
6.645 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.646 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.647 * [backup-simplify]: Simplify (+ 0 0) into 0
6.647 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.647 * [backup-simplify]: Simplify (+ 0) into 0
6.648 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.649 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.649 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.649 * [backup-simplify]: Simplify (+ 0 0) into 0
6.650 * [backup-simplify]: Simplify (+ 0) into 0
6.650 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.651 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.652 * [backup-simplify]: Simplify (+ 0 0) into 0
6.652 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.652 * [backup-simplify]: Simplify (+ 0 0) into 0
6.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
6.653 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.653 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.653 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.653 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
6.653 * [backup-simplify]: Simplify (+ 0) into 0
6.654 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.655 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.656 * [backup-simplify]: Simplify (+ 0 0) into 0
6.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
6.659 * [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))
6.659 * [taylor]: Taking taylor expansion of (/ (* (sin th) (sin ky)) (hypot (sin ky) (sin kx))) in th
6.659 * [taylor]: Taking taylor expansion of (* (sin th) (sin ky)) in th
6.659 * [taylor]: Taking taylor expansion of (sin th) in th
6.659 * [taylor]: Taking taylor expansion of th in th
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 1 into 1
6.659 * [taylor]: Taking taylor expansion of (sin ky) in th
6.659 * [taylor]: Taking taylor expansion of ky in th
6.659 * [backup-simplify]: Simplify ky into ky
6.660 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.660 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.660 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
6.660 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.660 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
6.660 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
6.660 * [taylor]: Taking taylor expansion of (sin ky) in th
6.660 * [taylor]: Taking taylor expansion of ky in th
6.660 * [backup-simplify]: Simplify ky into ky
6.660 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.660 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.660 * [taylor]: Taking taylor expansion of (sin ky) in th
6.660 * [taylor]: Taking taylor expansion of ky in th
6.660 * [backup-simplify]: Simplify ky into ky
6.660 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.660 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.660 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
6.660 * [taylor]: Taking taylor expansion of (sin kx) in th
6.660 * [taylor]: Taking taylor expansion of kx in th
6.660 * [backup-simplify]: Simplify kx into kx
6.660 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.660 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.660 * [taylor]: Taking taylor expansion of (sin kx) in th
6.660 * [taylor]: Taking taylor expansion of kx in th
6.660 * [backup-simplify]: Simplify kx into kx
6.660 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.661 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.661 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.661 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.661 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.661 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.661 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.661 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.661 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.661 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.661 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.661 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.662 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.662 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.662 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.662 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.662 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
6.662 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
6.663 * [backup-simplify]: Simplify (+ 0) into 0
6.663 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.664 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.665 * [backup-simplify]: Simplify (+ 0 0) into 0
6.665 * [backup-simplify]: Simplify (+ 0) into 0
6.666 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.667 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.667 * [backup-simplify]: Simplify (+ 0 0) into 0
6.668 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.668 * [backup-simplify]: Simplify (+ 0) into 0
6.668 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.669 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.670 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.670 * [backup-simplify]: Simplify (+ 0 0) into 0
6.670 * [backup-simplify]: Simplify (+ 0) into 0
6.671 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.672 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.673 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.673 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
6.673 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.674 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.674 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.674 * [backup-simplify]: Simplify (* 0 (sin ky)) into 0
6.674 * [backup-simplify]: Simplify (+ 0) into 0
6.675 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.676 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.676 * [backup-simplify]: Simplify (+ 0 0) into 0
6.677 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin ky))) into (sin ky)
6.678 * [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))
6.678 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
6.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
6.678 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
6.678 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
6.678 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
6.678 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.678 * [taylor]: Taking taylor expansion of ky in ky
6.678 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify 1 into 1
6.679 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.679 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
6.679 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.679 * [taylor]: Taking taylor expansion of kx in ky
6.679 * [backup-simplify]: Simplify kx into kx
6.679 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.679 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.679 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.679 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.679 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.679 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.679 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.679 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
6.679 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
6.680 * [backup-simplify]: Simplify (+ 0) into 0
6.680 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.682 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.682 * [backup-simplify]: Simplify (+ 0 0) into 0
6.682 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.682 * [backup-simplify]: Simplify (+ 0 0) into 0
6.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
6.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
6.683 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.683 * [taylor]: Taking taylor expansion of ky in ky
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify 1 into 1
6.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.684 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
6.684 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.684 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.684 * [taylor]: Taking taylor expansion of kx in kx
6.684 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify 1 into 1
6.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.685 * [backup-simplify]: Simplify (/ 1 1) into 1
6.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.687 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.689 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.689 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.690 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.690 * [backup-simplify]: Simplify (+ 0 0) into 0
6.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin ky)))) into 0
6.693 * [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
6.693 * [taylor]: Taking taylor expansion of 0 in ky
6.693 * [backup-simplify]: Simplify 0 into 0
6.693 * [taylor]: Taking taylor expansion of 0 in kx
6.693 * [backup-simplify]: Simplify 0 into 0
6.693 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.694 * [backup-simplify]: Simplify (* 1 1) into 1
6.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.696 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.697 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.697 * [backup-simplify]: Simplify (+ 0 0) into 0
6.698 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
6.698 * [backup-simplify]: Simplify (+ 1 0) into 1
6.698 * [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)))
6.699 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
6.699 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
6.699 * [taylor]: Taking taylor expansion of 0 in kx
6.699 * [backup-simplify]: Simplify 0 into 0
6.699 * [backup-simplify]: Simplify 0 into 0
6.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
6.701 * [backup-simplify]: Simplify 1/6 into 1/6
6.702 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.702 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.703 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.704 * [backup-simplify]: Simplify (+ 0 0) into 0
6.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin ky))))) into (- (* 1/6 (sin ky)))
6.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.706 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.707 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.707 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.708 * [backup-simplify]: Simplify (+ 0 0) into 0
6.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.709 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
6.709 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.710 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
6.710 * [backup-simplify]: Simplify (+ 0 0) into 0
6.710 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
6.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.711 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.711 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.712 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.712 * [backup-simplify]: Simplify (+ 0 0) into 0
6.713 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.713 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.714 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.714 * [backup-simplify]: Simplify (+ 0 0) into 0
6.714 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
6.715 * [backup-simplify]: Simplify (+ 0 0) into 0
6.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
6.716 * [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))))
6.716 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
6.716 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
6.716 * [taylor]: Taking taylor expansion of 1/6 in ky
6.716 * [backup-simplify]: Simplify 1/6 into 1/6
6.716 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
6.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
6.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
6.716 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
6.716 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
6.716 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.716 * [taylor]: Taking taylor expansion of ky in ky
6.716 * [backup-simplify]: Simplify 0 into 0
6.716 * [backup-simplify]: Simplify 1 into 1
6.716 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.716 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
6.716 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.716 * [taylor]: Taking taylor expansion of kx in ky
6.716 * [backup-simplify]: Simplify kx into kx
6.716 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.716 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.716 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.716 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.716 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.717 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.717 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.717 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
6.717 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
6.717 * [backup-simplify]: Simplify (+ 0) into 0
6.717 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.718 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.718 * [backup-simplify]: Simplify (+ 0 0) into 0
6.718 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.719 * [backup-simplify]: Simplify (+ 0 0) into 0
6.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
6.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
6.719 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.719 * [taylor]: Taking taylor expansion of ky in ky
6.719 * [backup-simplify]: Simplify 0 into 0
6.719 * [backup-simplify]: Simplify 1 into 1
6.719 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.720 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
6.720 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
6.720 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
6.720 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
6.720 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
6.720 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
6.720 * [taylor]: Taking taylor expansion of 1/6 in kx
6.720 * [backup-simplify]: Simplify 1/6 into 1/6
6.720 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.720 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.720 * [taylor]: Taking taylor expansion of kx in kx
6.720 * [backup-simplify]: Simplify 0 into 0
6.720 * [backup-simplify]: Simplify 1 into 1
6.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.721 * [backup-simplify]: Simplify (/ 1 1) into 1
6.721 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.722 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
6.722 * [backup-simplify]: Simplify (- 0) into 0
6.722 * [backup-simplify]: Simplify 0 into 0
6.723 * [taylor]: Taking taylor expansion of 0 in kx
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify 0 into 0
6.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.725 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.727 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.727 * [backup-simplify]: Simplify (+ 0 0) into 0
6.727 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
6.728 * [backup-simplify]: Simplify (+ 0 0) into 0
6.728 * [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
6.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
6.729 * [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)))))
6.729 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
6.729 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
6.729 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
6.729 * [taylor]: Taking taylor expansion of 1/6 in kx
6.729 * [backup-simplify]: Simplify 1/6 into 1/6
6.729 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.729 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.729 * [taylor]: Taking taylor expansion of kx in kx
6.729 * [backup-simplify]: Simplify 0 into 0
6.729 * [backup-simplify]: Simplify 1 into 1
6.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.730 * [backup-simplify]: Simplify (/ 1 1) into 1
6.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
6.730 * [taylor]: Taking taylor expansion of 1/2 in kx
6.730 * [backup-simplify]: Simplify 1/2 into 1/2
6.730 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
6.730 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
6.730 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.730 * [taylor]: Taking taylor expansion of kx in kx
6.730 * [backup-simplify]: Simplify 0 into 0
6.730 * [backup-simplify]: Simplify 1 into 1
6.730 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.730 * [backup-simplify]: Simplify (* 1 1) into 1
6.731 * [backup-simplify]: Simplify (* 1 1) into 1
6.731 * [backup-simplify]: Simplify (/ 1 1) into 1
6.731 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.732 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
6.733 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
6.738 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
6.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
6.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.743 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
6.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
6.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
6.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
6.747 * [backup-simplify]: Simplify (+ 0 0) into 0
6.747 * [backup-simplify]: Simplify (- 0) into 0
6.747 * [backup-simplify]: Simplify 0 into 0
6.747 * [backup-simplify]: Simplify 0 into 0
6.747 * [backup-simplify]: Simplify 0 into 0
6.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
6.751 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (/ 1 (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
6.751 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
6.751 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
6.751 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
6.751 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
6.751 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
6.751 * [taylor]: Taking taylor expansion of th in kx
6.751 * [backup-simplify]: Simplify th into th
6.751 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.751 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.751 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.751 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.751 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.751 * [taylor]: Taking taylor expansion of ky in kx
6.751 * [backup-simplify]: Simplify ky into ky
6.751 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.752 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.752 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.752 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
6.752 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
6.752 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
6.752 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
6.752 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.752 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.752 * [taylor]: Taking taylor expansion of ky in kx
6.752 * [backup-simplify]: Simplify ky into ky
6.752 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.752 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.752 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.752 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.752 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.752 * [taylor]: Taking taylor expansion of ky in kx
6.752 * [backup-simplify]: Simplify ky into ky
6.752 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.752 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.752 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.752 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
6.752 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.752 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.752 * [taylor]: Taking taylor expansion of kx in kx
6.752 * [backup-simplify]: Simplify 0 into 0
6.753 * [backup-simplify]: Simplify 1 into 1
6.753 * [backup-simplify]: Simplify (/ 1 1) into 1
6.753 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.753 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.753 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.753 * [taylor]: Taking taylor expansion of kx in kx
6.753 * [backup-simplify]: Simplify 0 into 0
6.753 * [backup-simplify]: Simplify 1 into 1
6.754 * [backup-simplify]: Simplify (/ 1 1) into 1
6.754 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.754 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.754 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.754 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.754 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.754 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.754 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.754 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.754 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.755 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.755 * [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)))
6.756 * [backup-simplify]: Simplify (+ 0) into 0
6.756 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.757 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.758 * [backup-simplify]: Simplify (+ 0 0) into 0
6.758 * [backup-simplify]: Simplify (+ 0) into 0
6.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.760 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.760 * [backup-simplify]: Simplify (+ 0 0) into 0
6.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.761 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.761 * [backup-simplify]: Simplify (+ 0 0) into 0
6.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.762 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.762 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.762 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.762 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.762 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.762 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.762 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.762 * [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)))))
6.762 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
6.762 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
6.762 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
6.762 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
6.762 * [taylor]: Taking taylor expansion of th in ky
6.762 * [backup-simplify]: Simplify th into th
6.762 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.762 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.762 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.762 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.762 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.762 * [taylor]: Taking taylor expansion of ky in ky
6.762 * [backup-simplify]: Simplify 0 into 0
6.762 * [backup-simplify]: Simplify 1 into 1
6.763 * [backup-simplify]: Simplify (/ 1 1) into 1
6.763 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.763 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
6.763 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
6.763 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
6.763 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
6.763 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.763 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.763 * [taylor]: Taking taylor expansion of ky in ky
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 1 into 1
6.763 * [backup-simplify]: Simplify (/ 1 1) into 1
6.763 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.763 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.763 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.763 * [taylor]: Taking taylor expansion of ky in ky
6.763 * [backup-simplify]: Simplify 0 into 0
6.763 * [backup-simplify]: Simplify 1 into 1
6.764 * [backup-simplify]: Simplify (/ 1 1) into 1
6.764 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.764 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
6.764 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.764 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.764 * [taylor]: Taking taylor expansion of kx in ky
6.764 * [backup-simplify]: Simplify kx into kx
6.764 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.764 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.764 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.764 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.764 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.764 * [taylor]: Taking taylor expansion of kx in ky
6.764 * [backup-simplify]: Simplify kx into kx
6.764 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.764 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.764 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.764 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.764 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.764 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.764 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.764 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.764 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.764 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.764 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.765 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.765 * [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)))
6.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.765 * [backup-simplify]: Simplify (+ 0) into 0
6.765 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.766 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.766 * [backup-simplify]: Simplify (+ 0 0) into 0
6.767 * [backup-simplify]: Simplify (+ 0) into 0
6.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.768 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.768 * [backup-simplify]: Simplify (+ 0 0) into 0
6.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.769 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.769 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.769 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.769 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.769 * [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)))))
6.769 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
6.769 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
6.769 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
6.769 * [taylor]: Taking taylor expansion of (/ 1 th) in th
6.769 * [taylor]: Taking taylor expansion of th in th
6.769 * [backup-simplify]: Simplify 0 into 0
6.769 * [backup-simplify]: Simplify 1 into 1
6.769 * [backup-simplify]: Simplify (/ 1 1) into 1
6.769 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.769 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.769 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.769 * [taylor]: Taking taylor expansion of ky in th
6.769 * [backup-simplify]: Simplify ky into ky
6.769 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.770 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.770 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.770 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
6.770 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
6.770 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
6.770 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
6.770 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.770 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.770 * [taylor]: Taking taylor expansion of ky in th
6.770 * [backup-simplify]: Simplify ky into ky
6.770 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.770 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.770 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.770 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.770 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.770 * [taylor]: Taking taylor expansion of ky in th
6.770 * [backup-simplify]: Simplify ky into ky
6.770 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.770 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.770 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.770 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
6.770 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.770 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.770 * [taylor]: Taking taylor expansion of kx in th
6.770 * [backup-simplify]: Simplify kx into kx
6.770 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.770 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.770 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.770 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.770 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.770 * [taylor]: Taking taylor expansion of kx in th
6.770 * [backup-simplify]: Simplify kx into kx
6.770 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.770 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.770 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.770 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.770 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.771 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.771 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.771 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.771 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.771 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.771 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.771 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.771 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.771 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.771 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.771 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.771 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.771 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.771 * [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)))
6.772 * [backup-simplify]: Simplify (+ 0) into 0
6.772 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.772 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.773 * [backup-simplify]: Simplify (+ 0 0) into 0
6.773 * [backup-simplify]: Simplify (+ 0) into 0
6.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.774 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.776 * [backup-simplify]: Simplify (+ 0 0) into 0
6.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.776 * [backup-simplify]: Simplify (+ 0) into 0
6.777 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.778 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.778 * [backup-simplify]: Simplify (+ 0 0) into 0
6.778 * [backup-simplify]: Simplify (+ 0) into 0
6.778 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.779 * [backup-simplify]: Simplify (+ 0 0) into 0
6.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.780 * [backup-simplify]: Simplify (+ 0 0) into 0
6.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.780 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.780 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.780 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.780 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.780 * [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)))))
6.780 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
6.780 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
6.780 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
6.780 * [taylor]: Taking taylor expansion of (/ 1 th) in th
6.780 * [taylor]: Taking taylor expansion of th in th
6.780 * [backup-simplify]: Simplify 0 into 0
6.780 * [backup-simplify]: Simplify 1 into 1
6.781 * [backup-simplify]: Simplify (/ 1 1) into 1
6.781 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.781 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.781 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.781 * [taylor]: Taking taylor expansion of ky in th
6.781 * [backup-simplify]: Simplify ky into ky
6.781 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.781 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.781 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.781 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
6.781 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
6.781 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
6.781 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
6.781 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.781 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.781 * [taylor]: Taking taylor expansion of ky in th
6.781 * [backup-simplify]: Simplify ky into ky
6.781 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.781 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.781 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.781 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
6.781 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
6.781 * [taylor]: Taking taylor expansion of ky in th
6.781 * [backup-simplify]: Simplify ky into ky
6.781 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.781 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.781 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.781 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
6.782 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.782 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.782 * [taylor]: Taking taylor expansion of kx in th
6.782 * [backup-simplify]: Simplify kx into kx
6.782 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.782 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.782 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.782 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
6.782 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
6.782 * [taylor]: Taking taylor expansion of kx in th
6.782 * [backup-simplify]: Simplify kx into kx
6.782 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.782 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.782 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.782 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.782 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.782 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.782 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.782 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.782 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.782 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.782 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.782 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.782 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.782 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.782 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.783 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.783 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.783 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.783 * [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)))
6.783 * [backup-simplify]: Simplify (+ 0) into 0
6.783 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.784 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.785 * [backup-simplify]: Simplify (+ 0) into 0
6.785 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.786 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.786 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.786 * [backup-simplify]: Simplify (+ 0) into 0
6.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.787 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.788 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.788 * [backup-simplify]: Simplify (+ 0 0) into 0
6.788 * [backup-simplify]: Simplify (+ 0) into 0
6.788 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.789 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.789 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.789 * [backup-simplify]: Simplify (+ 0 0) into 0
6.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.790 * [backup-simplify]: Simplify (+ 0 0) into 0
6.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.790 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.790 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.790 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.790 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.790 * [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)))))
6.791 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky
6.791 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
6.791 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
6.791 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
6.791 * [taylor]: Taking taylor expansion of th in ky
6.791 * [backup-simplify]: Simplify th into th
6.791 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.791 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.791 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.791 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.791 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.791 * [taylor]: Taking taylor expansion of ky in ky
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify 1 into 1
6.791 * [backup-simplify]: Simplify (/ 1 1) into 1
6.791 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
6.791 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
6.791 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
6.791 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
6.791 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
6.791 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
6.791 * [taylor]: Taking taylor expansion of kx in ky
6.791 * [backup-simplify]: Simplify kx into kx
6.791 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
6.791 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.791 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
6.791 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
6.792 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
6.792 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
6.792 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
6.792 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
6.792 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
6.792 * [taylor]: Taking taylor expansion of ky in ky
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 1 into 1
6.792 * [backup-simplify]: Simplify (/ 1 1) into 1
6.792 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.792 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.792 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.792 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.792 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.793 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.793 * [backup-simplify]: Simplify (+ 0) into 0
6.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
6.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
6.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
6.794 * [backup-simplify]: Simplify (+ 0 0) into 0
6.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.795 * [backup-simplify]: Simplify (+ 0 0) into 0
6.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.795 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.795 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.795 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.795 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.795 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.796 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
6.796 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
6.796 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
6.796 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
6.796 * [taylor]: Taking taylor expansion of th in kx
6.796 * [backup-simplify]: Simplify th into th
6.796 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
6.796 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
6.796 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
6.796 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.796 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.796 * [taylor]: Taking taylor expansion of ky in kx
6.796 * [backup-simplify]: Simplify ky into ky
6.796 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.796 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.796 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.796 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
6.796 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
6.796 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
6.796 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
6.796 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
6.796 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
6.796 * [taylor]: Taking taylor expansion of kx in kx
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 1 into 1
6.796 * [backup-simplify]: Simplify (/ 1 1) into 1
6.796 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
6.796 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
6.796 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
6.796 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
6.796 * [taylor]: Taking taylor expansion of ky in kx
6.796 * [backup-simplify]: Simplify ky into ky
6.796 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
6.797 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
6.797 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
6.797 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.797 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.797 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.797 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
6.797 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
6.797 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
6.797 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
6.797 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
6.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
6.798 * [backup-simplify]: Simplify (+ 0) into 0
6.798 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.798 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.799 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.799 * [backup-simplify]: Simplify (+ 0 0) into 0
6.799 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.799 * [backup-simplify]: Simplify (+ 0 0) into 0
6.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.800 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
6.800 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
6.800 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
6.800 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
6.800 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
6.800 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
6.800 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
6.800 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.801 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
6.801 * [backup-simplify]: Simplify (+ 0) into 0
6.801 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.802 * [backup-simplify]: Simplify (+ 0 0) into 0
6.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.803 * [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
6.803 * [taylor]: Taking taylor expansion of 0 in ky
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [taylor]: Taking taylor expansion of 0 in kx
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify 0 into 0
6.803 * [backup-simplify]: Simplify (+ 0) into 0
6.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
6.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
6.804 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.804 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
6.805 * [backup-simplify]: Simplify (+ 0 0) into 0
6.805 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.805 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.805 * [taylor]: Taking taylor expansion of 0 in kx
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 0 into 0
6.806 * [backup-simplify]: Simplify (+ 0) into 0
6.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
6.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
6.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.807 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
6.807 * [backup-simplify]: Simplify (+ 0 0) into 0
6.808 * [backup-simplify]: Simplify (+ 0) into 0
6.808 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
6.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
6.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.809 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
6.809 * [backup-simplify]: Simplify (+ 0 0) into 0
6.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
6.810 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.811 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.811 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.812 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.812 * [backup-simplify]: Simplify (+ 0 0) into 0
6.812 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.813 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.814 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.814 * [backup-simplify]: Simplify (+ 0 0) into 0
6.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.815 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.816 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.816 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.817 * [backup-simplify]: Simplify (+ 0 0) into 0
6.817 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.818 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.819 * [backup-simplify]: Simplify (+ 0 0) into 0
6.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.821 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.821 * [backup-simplify]: Simplify (+ 0 0) into 0
6.822 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.822 * [backup-simplify]: Simplify (+ 0 0) into 0
6.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
6.823 * [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
6.823 * [taylor]: Taking taylor expansion of 0 in ky
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [taylor]: Taking taylor expansion of 0 in kx
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [taylor]: Taking taylor expansion of 0 in kx
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [backup-simplify]: Simplify 0 into 0
6.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
6.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.827 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
6.828 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.829 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.829 * [backup-simplify]: Simplify (+ 0 0) into 0
6.830 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
6.830 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
6.830 * [taylor]: Taking taylor expansion of 0 in kx
6.830 * [backup-simplify]: Simplify 0 into 0
6.830 * [backup-simplify]: Simplify 0 into 0
6.831 * [backup-simplify]: Simplify (* (* (sin (/ 1 (/ 1 th))) (sin (/ 1 (/ 1 ky)))) (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
6.831 * [backup-simplify]: Simplify (* (sin (/ 1 (- th))) (/ 1 (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
6.831 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
6.831 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
6.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
6.831 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
6.831 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
6.831 * [taylor]: Taking taylor expansion of -1 in kx
6.831 * [backup-simplify]: Simplify -1 into -1
6.831 * [taylor]: Taking taylor expansion of th in kx
6.831 * [backup-simplify]: Simplify th into th
6.831 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.831 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.831 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.831 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.831 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.831 * [taylor]: Taking taylor expansion of -1 in kx
6.831 * [backup-simplify]: Simplify -1 into -1
6.831 * [taylor]: Taking taylor expansion of ky in kx
6.831 * [backup-simplify]: Simplify ky into ky
6.831 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.831 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.831 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.831 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
6.831 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
6.831 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
6.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
6.831 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.831 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.831 * [taylor]: Taking taylor expansion of -1 in kx
6.831 * [backup-simplify]: Simplify -1 into -1
6.831 * [taylor]: Taking taylor expansion of ky in kx
6.831 * [backup-simplify]: Simplify ky into ky
6.831 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.832 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.832 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.832 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.832 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.832 * [taylor]: Taking taylor expansion of -1 in kx
6.832 * [backup-simplify]: Simplify -1 into -1
6.832 * [taylor]: Taking taylor expansion of ky in kx
6.832 * [backup-simplify]: Simplify ky into ky
6.832 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.832 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.832 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.832 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
6.832 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.832 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.832 * [taylor]: Taking taylor expansion of -1 in kx
6.832 * [backup-simplify]: Simplify -1 into -1
6.832 * [taylor]: Taking taylor expansion of kx in kx
6.832 * [backup-simplify]: Simplify 0 into 0
6.832 * [backup-simplify]: Simplify 1 into 1
6.832 * [backup-simplify]: Simplify (/ -1 1) into -1
6.832 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.832 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.832 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.832 * [taylor]: Taking taylor expansion of -1 in kx
6.832 * [backup-simplify]: Simplify -1 into -1
6.832 * [taylor]: Taking taylor expansion of kx in kx
6.832 * [backup-simplify]: Simplify 0 into 0
6.832 * [backup-simplify]: Simplify 1 into 1
6.833 * [backup-simplify]: Simplify (/ -1 1) into -1
6.833 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.833 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.833 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.833 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.833 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.833 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.833 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.833 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.833 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.833 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.833 * [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)))
6.834 * [backup-simplify]: Simplify (+ 0) into 0
6.834 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.834 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.835 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.835 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.835 * [backup-simplify]: Simplify (+ 0 0) into 0
6.835 * [backup-simplify]: Simplify (+ 0) into 0
6.836 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.836 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.836 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.837 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.837 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.837 * [backup-simplify]: Simplify (+ 0 0) into 0
6.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.837 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.838 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.838 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.838 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.838 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.838 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.838 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.838 * [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)))))
6.838 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
6.838 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
6.838 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
6.838 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
6.838 * [taylor]: Taking taylor expansion of -1 in ky
6.838 * [backup-simplify]: Simplify -1 into -1
6.838 * [taylor]: Taking taylor expansion of th in ky
6.838 * [backup-simplify]: Simplify th into th
6.838 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.838 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.838 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.838 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.838 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.838 * [taylor]: Taking taylor expansion of -1 in ky
6.838 * [backup-simplify]: Simplify -1 into -1
6.838 * [taylor]: Taking taylor expansion of ky in ky
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 1 into 1
6.839 * [backup-simplify]: Simplify (/ -1 1) into -1
6.839 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.839 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
6.839 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
6.839 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
6.839 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
6.839 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.839 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.839 * [taylor]: Taking taylor expansion of -1 in ky
6.839 * [backup-simplify]: Simplify -1 into -1
6.839 * [taylor]: Taking taylor expansion of ky in ky
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.839 * [backup-simplify]: Simplify (/ -1 1) into -1
6.839 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.839 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.839 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.839 * [taylor]: Taking taylor expansion of -1 in ky
6.839 * [backup-simplify]: Simplify -1 into -1
6.839 * [taylor]: Taking taylor expansion of ky in ky
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.840 * [backup-simplify]: Simplify (/ -1 1) into -1
6.840 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
6.840 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.840 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.840 * [taylor]: Taking taylor expansion of -1 in ky
6.840 * [backup-simplify]: Simplify -1 into -1
6.840 * [taylor]: Taking taylor expansion of kx in ky
6.840 * [backup-simplify]: Simplify kx into kx
6.840 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.840 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.840 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.840 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.840 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.840 * [taylor]: Taking taylor expansion of -1 in ky
6.840 * [backup-simplify]: Simplify -1 into -1
6.840 * [taylor]: Taking taylor expansion of kx in ky
6.840 * [backup-simplify]: Simplify kx into kx
6.840 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.840 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.840 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.840 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.840 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.840 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.840 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.840 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.840 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.840 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.841 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.841 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.841 * [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)))
6.841 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.841 * [backup-simplify]: Simplify (+ 0) into 0
6.842 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.842 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.842 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.842 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.843 * [backup-simplify]: Simplify (+ 0 0) into 0
6.843 * [backup-simplify]: Simplify (+ 0) into 0
6.843 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.843 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.844 * [backup-simplify]: Simplify (+ 0 0) into 0
6.844 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.845 * [backup-simplify]: Simplify (+ 0 0) into 0
6.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.845 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.845 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.845 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.845 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.845 * [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)))))
6.845 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
6.845 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
6.845 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
6.845 * [taylor]: Taking taylor expansion of (/ -1 th) in th
6.845 * [taylor]: Taking taylor expansion of -1 in th
6.845 * [backup-simplify]: Simplify -1 into -1
6.845 * [taylor]: Taking taylor expansion of th in th
6.845 * [backup-simplify]: Simplify 0 into 0
6.845 * [backup-simplify]: Simplify 1 into 1
6.846 * [backup-simplify]: Simplify (/ -1 1) into -1
6.846 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.846 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.846 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.846 * [taylor]: Taking taylor expansion of -1 in th
6.846 * [backup-simplify]: Simplify -1 into -1
6.846 * [taylor]: Taking taylor expansion of ky in th
6.846 * [backup-simplify]: Simplify ky into ky
6.846 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.846 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.846 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.846 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
6.846 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
6.846 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
6.846 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
6.846 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.846 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.846 * [taylor]: Taking taylor expansion of -1 in th
6.846 * [backup-simplify]: Simplify -1 into -1
6.846 * [taylor]: Taking taylor expansion of ky in th
6.846 * [backup-simplify]: Simplify ky into ky
6.846 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.846 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.846 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.846 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.846 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.846 * [taylor]: Taking taylor expansion of -1 in th
6.846 * [backup-simplify]: Simplify -1 into -1
6.846 * [taylor]: Taking taylor expansion of ky in th
6.846 * [backup-simplify]: Simplify ky into ky
6.846 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.846 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.846 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.846 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
6.846 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.846 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.846 * [taylor]: Taking taylor expansion of -1 in th
6.846 * [backup-simplify]: Simplify -1 into -1
6.847 * [taylor]: Taking taylor expansion of kx in th
6.847 * [backup-simplify]: Simplify kx into kx
6.847 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.847 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.847 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.847 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.847 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.847 * [taylor]: Taking taylor expansion of -1 in th
6.847 * [backup-simplify]: Simplify -1 into -1
6.847 * [taylor]: Taking taylor expansion of kx in th
6.847 * [backup-simplify]: Simplify kx into kx
6.847 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.847 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.847 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.847 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.847 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.847 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.847 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.847 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.847 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.847 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.847 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.847 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.847 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.847 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.847 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.847 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.848 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.848 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.848 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.848 * [backup-simplify]: Simplify (+ 0) into 0
6.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.849 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.850 * [backup-simplify]: Simplify (+ 0 0) into 0
6.850 * [backup-simplify]: Simplify (+ 0) into 0
6.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.850 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.851 * [backup-simplify]: Simplify (+ 0 0) into 0
6.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.852 * [backup-simplify]: Simplify (+ 0) into 0
6.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.852 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.853 * [backup-simplify]: Simplify (+ 0 0) into 0
6.853 * [backup-simplify]: Simplify (+ 0) into 0
6.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.854 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.855 * [backup-simplify]: Simplify (+ 0 0) into 0
6.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.855 * [backup-simplify]: Simplify (+ 0 0) into 0
6.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.855 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.855 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.855 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.855 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.855 * [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)))))
6.855 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
6.856 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
6.856 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
6.856 * [taylor]: Taking taylor expansion of (/ -1 th) in th
6.856 * [taylor]: Taking taylor expansion of -1 in th
6.856 * [backup-simplify]: Simplify -1 into -1
6.856 * [taylor]: Taking taylor expansion of th in th
6.856 * [backup-simplify]: Simplify 0 into 0
6.856 * [backup-simplify]: Simplify 1 into 1
6.856 * [backup-simplify]: Simplify (/ -1 1) into -1
6.856 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.856 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.856 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.856 * [taylor]: Taking taylor expansion of -1 in th
6.856 * [backup-simplify]: Simplify -1 into -1
6.856 * [taylor]: Taking taylor expansion of ky in th
6.856 * [backup-simplify]: Simplify ky into ky
6.856 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.856 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.856 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.856 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
6.856 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
6.856 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
6.856 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
6.856 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.856 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.856 * [taylor]: Taking taylor expansion of -1 in th
6.856 * [backup-simplify]: Simplify -1 into -1
6.856 * [taylor]: Taking taylor expansion of ky in th
6.856 * [backup-simplify]: Simplify ky into ky
6.856 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.856 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.856 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.857 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
6.857 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
6.857 * [taylor]: Taking taylor expansion of -1 in th
6.857 * [backup-simplify]: Simplify -1 into -1
6.857 * [taylor]: Taking taylor expansion of ky in th
6.857 * [backup-simplify]: Simplify ky into ky
6.857 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.857 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.857 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.857 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
6.857 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.857 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.857 * [taylor]: Taking taylor expansion of -1 in th
6.857 * [backup-simplify]: Simplify -1 into -1
6.857 * [taylor]: Taking taylor expansion of kx in th
6.857 * [backup-simplify]: Simplify kx into kx
6.857 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.857 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.857 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.857 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
6.857 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
6.857 * [taylor]: Taking taylor expansion of -1 in th
6.857 * [backup-simplify]: Simplify -1 into -1
6.857 * [taylor]: Taking taylor expansion of kx in th
6.857 * [backup-simplify]: Simplify kx into kx
6.857 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.857 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.857 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.857 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.857 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.857 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.857 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.857 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.857 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.857 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.858 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.858 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.858 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.858 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.858 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.858 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.858 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.858 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.858 * [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)))
6.858 * [backup-simplify]: Simplify (+ 0) into 0
6.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.859 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.860 * [backup-simplify]: Simplify (+ 0 0) into 0
6.860 * [backup-simplify]: Simplify (+ 0) into 0
6.860 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.861 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.862 * [backup-simplify]: Simplify (+ 0 0) into 0
6.862 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.862 * [backup-simplify]: Simplify (+ 0) into 0
6.862 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.862 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.863 * [backup-simplify]: Simplify (+ 0 0) into 0
6.864 * [backup-simplify]: Simplify (+ 0) into 0
6.864 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.864 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.865 * [backup-simplify]: Simplify (+ 0 0) into 0
6.865 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.865 * [backup-simplify]: Simplify (+ 0 0) into 0
6.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.866 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.866 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.866 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.866 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.866 * [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)))))
6.866 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
6.866 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
6.866 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
6.866 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
6.866 * [taylor]: Taking taylor expansion of -1 in ky
6.866 * [backup-simplify]: Simplify -1 into -1
6.866 * [taylor]: Taking taylor expansion of th in ky
6.866 * [backup-simplify]: Simplify th into th
6.866 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.866 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.866 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.866 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.866 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.866 * [taylor]: Taking taylor expansion of -1 in ky
6.866 * [backup-simplify]: Simplify -1 into -1
6.866 * [taylor]: Taking taylor expansion of ky in ky
6.866 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify 1 into 1
6.867 * [backup-simplify]: Simplify (/ -1 1) into -1
6.867 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
6.867 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
6.867 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
6.867 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
6.867 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
6.867 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
6.867 * [taylor]: Taking taylor expansion of -1 in ky
6.867 * [backup-simplify]: Simplify -1 into -1
6.867 * [taylor]: Taking taylor expansion of kx in ky
6.867 * [backup-simplify]: Simplify kx into kx
6.867 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
6.867 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.867 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
6.867 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
6.867 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
6.867 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
6.867 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
6.867 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
6.867 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
6.867 * [taylor]: Taking taylor expansion of -1 in ky
6.867 * [backup-simplify]: Simplify -1 into -1
6.867 * [taylor]: Taking taylor expansion of ky in ky
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify 1 into 1
6.868 * [backup-simplify]: Simplify (/ -1 1) into -1
6.868 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.868 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.868 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.868 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.868 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.868 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.869 * [backup-simplify]: Simplify (+ 0) into 0
6.869 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
6.869 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
6.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.871 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
6.872 * [backup-simplify]: Simplify (+ 0 0) into 0
6.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.872 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.872 * [backup-simplify]: Simplify (+ 0 0) into 0
6.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.873 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.873 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.873 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.873 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.873 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.873 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
6.873 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
6.873 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
6.873 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
6.873 * [taylor]: Taking taylor expansion of -1 in kx
6.873 * [backup-simplify]: Simplify -1 into -1
6.873 * [taylor]: Taking taylor expansion of th in kx
6.873 * [backup-simplify]: Simplify th into th
6.873 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
6.873 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
6.873 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
6.873 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.873 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.873 * [taylor]: Taking taylor expansion of -1 in kx
6.873 * [backup-simplify]: Simplify -1 into -1
6.873 * [taylor]: Taking taylor expansion of ky in kx
6.873 * [backup-simplify]: Simplify ky into ky
6.873 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.873 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.873 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
6.873 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
6.873 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
6.873 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
6.873 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
6.874 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
6.874 * [taylor]: Taking taylor expansion of -1 in kx
6.874 * [backup-simplify]: Simplify -1 into -1
6.874 * [taylor]: Taking taylor expansion of kx in kx
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify 1 into 1
6.874 * [backup-simplify]: Simplify (/ -1 1) into -1
6.874 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
6.874 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
6.874 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
6.874 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
6.874 * [taylor]: Taking taylor expansion of -1 in kx
6.874 * [backup-simplify]: Simplify -1 into -1
6.874 * [taylor]: Taking taylor expansion of ky in kx
6.874 * [backup-simplify]: Simplify ky into ky
6.874 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
6.874 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
6.874 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
6.874 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.874 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.874 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.874 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
6.875 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
6.875 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
6.875 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
6.875 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
6.875 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
6.875 * [backup-simplify]: Simplify (+ 0) into 0
6.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.876 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.876 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.877 * [backup-simplify]: Simplify (+ 0 0) into 0
6.877 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.877 * [backup-simplify]: Simplify (+ 0 0) into 0
6.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.878 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
6.878 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
6.878 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
6.878 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
6.878 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
6.878 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
6.878 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
6.879 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.879 * [backup-simplify]: Simplify (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
6.880 * [backup-simplify]: Simplify (+ 0) into 0
6.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.880 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.882 * [backup-simplify]: Simplify (+ 0 0) into 0
6.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.883 * [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
6.883 * [taylor]: Taking taylor expansion of 0 in ky
6.883 * [backup-simplify]: Simplify 0 into 0
6.883 * [taylor]: Taking taylor expansion of 0 in kx
6.883 * [backup-simplify]: Simplify 0 into 0
6.883 * [backup-simplify]: Simplify 0 into 0
6.884 * [backup-simplify]: Simplify (+ 0) into 0
6.884 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
6.884 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
6.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
6.886 * [backup-simplify]: Simplify (+ 0 0) into 0
6.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.887 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.887 * [taylor]: Taking taylor expansion of 0 in kx
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify 0 into 0
6.887 * [backup-simplify]: Simplify (+ 0) into 0
6.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
6.888 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
6.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.889 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
6.890 * [backup-simplify]: Simplify (+ 0 0) into 0
6.890 * [backup-simplify]: Simplify (+ 0) into 0
6.890 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
6.891 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
6.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.892 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
6.892 * [backup-simplify]: Simplify (+ 0 0) into 0
6.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
6.893 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.893 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.895 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.896 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.897 * [backup-simplify]: Simplify (+ 0 0) into 0
6.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.899 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.900 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.901 * [backup-simplify]: Simplify (+ 0 0) into 0
6.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.902 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
6.903 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
6.903 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.904 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
6.904 * [backup-simplify]: Simplify (+ 0 0) into 0
6.905 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.907 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.908 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.909 * [backup-simplify]: Simplify (+ 0 0) into 0
6.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.911 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.912 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.912 * [backup-simplify]: Simplify (+ 0 0) into 0
6.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.913 * [backup-simplify]: Simplify (+ 0 0) into 0
6.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
6.915 * [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
6.915 * [taylor]: Taking taylor expansion of 0 in ky
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [taylor]: Taking taylor expansion of 0 in kx
6.915 * [backup-simplify]: Simplify 0 into 0
6.915 * [backup-simplify]: Simplify 0 into 0
6.916 * [taylor]: Taking taylor expansion of 0 in kx
6.916 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
6.918 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
6.919 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
6.920 * [backup-simplify]: Simplify (+ 0 0) into 0
6.920 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
6.921 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.921 * [backup-simplify]: Simplify (+ 0 0) into 0
6.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (* 0 (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
6.924 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.925 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
6.925 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
6.926 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
6.927 * [backup-simplify]: Simplify (+ 0 0) into 0
6.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
6.928 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 th)) (sin (/ -1 ky))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
6.928 * [taylor]: Taking taylor expansion of 0 in kx
6.928 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify (* (* (sin (/ -1 (/ 1 (- th)))) (sin (/ -1 (/ 1 (- ky))))) (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
6.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2)
6.929 * [backup-simplify]: Simplify (/ (hypot (sin ky) (sin kx)) (sin ky)) into (/ (hypot (sin ky) (sin kx)) (sin ky))
6.929 * [approximate]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in (ky kx) around 0
6.930 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in kx
6.930 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
6.930 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.930 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
6.930 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
6.930 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.930 * [taylor]: Taking taylor expansion of ky in kx
6.930 * [backup-simplify]: Simplify ky into ky
6.930 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.930 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.930 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.930 * [taylor]: Taking taylor expansion of ky in kx
6.930 * [backup-simplify]: Simplify ky into ky
6.930 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.930 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.930 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
6.930 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.930 * [taylor]: Taking taylor expansion of kx in kx
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 1 into 1
6.930 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.930 * [taylor]: Taking taylor expansion of kx in kx
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 1 into 1
6.930 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.930 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.931 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.931 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.931 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.931 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.931 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
6.931 * [backup-simplify]: Simplify (* 0 0) into 0
6.931 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
6.932 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
6.932 * [backup-simplify]: Simplify (+ 0) into 0
6.932 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.934 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.934 * [backup-simplify]: Simplify (+ 0 0) into 0
6.935 * [backup-simplify]: Simplify (+ 0) into 0
6.935 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
6.936 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.936 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
6.937 * [backup-simplify]: Simplify (+ 0 0) into 0
6.937 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
6.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.939 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.939 * [backup-simplify]: Simplify (+ 0 0) into 0
6.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
6.940 * [taylor]: Taking taylor expansion of (sin ky) in kx
6.940 * [taylor]: Taking taylor expansion of ky in kx
6.940 * [backup-simplify]: Simplify ky into ky
6.940 * [backup-simplify]: Simplify (sin ky) into (sin ky)
6.940 * [backup-simplify]: Simplify (cos ky) into (cos ky)
6.940 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
6.940 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
6.940 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
6.940 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
6.940 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
6.940 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
6.940 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.940 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
6.940 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.940 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.940 * [taylor]: Taking taylor expansion of ky in ky
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.940 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.940 * [taylor]: Taking taylor expansion of ky in ky
6.940 * [backup-simplify]: Simplify 0 into 0
6.940 * [backup-simplify]: Simplify 1 into 1
6.940 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.940 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.940 * [taylor]: Taking taylor expansion of kx in ky
6.940 * [backup-simplify]: Simplify kx into kx
6.941 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.941 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.941 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.941 * [taylor]: Taking taylor expansion of kx in ky
6.941 * [backup-simplify]: Simplify kx into kx
6.941 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.941 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.941 * [backup-simplify]: Simplify (* 0 0) into 0
6.941 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.941 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.941 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.942 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.942 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.942 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.942 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.942 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.942 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.944 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.944 * [backup-simplify]: Simplify (+ 0) into 0
6.945 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.946 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.947 * [backup-simplify]: Simplify (+ 0 0) into 0
6.947 * [backup-simplify]: Simplify (+ 0) into 0
6.947 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.949 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.949 * [backup-simplify]: Simplify (+ 0 0) into 0
6.949 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.950 * [backup-simplify]: Simplify (+ 0 0) into 0
6.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.950 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.950 * [taylor]: Taking taylor expansion of ky in ky
6.950 * [backup-simplify]: Simplify 0 into 0
6.950 * [backup-simplify]: Simplify 1 into 1
6.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.951 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
6.951 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
6.951 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
6.951 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
6.951 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
6.951 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
6.951 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.951 * [taylor]: Taking taylor expansion of ky in ky
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify 1 into 1
6.951 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.951 * [taylor]: Taking taylor expansion of ky in ky
6.951 * [backup-simplify]: Simplify 0 into 0
6.951 * [backup-simplify]: Simplify 1 into 1
6.951 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
6.951 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.951 * [taylor]: Taking taylor expansion of kx in ky
6.951 * [backup-simplify]: Simplify kx into kx
6.951 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.951 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.951 * [taylor]: Taking taylor expansion of (sin kx) in ky
6.951 * [taylor]: Taking taylor expansion of kx in ky
6.951 * [backup-simplify]: Simplify kx into kx
6.951 * [backup-simplify]: Simplify (sin kx) into (sin kx)
6.951 * [backup-simplify]: Simplify (cos kx) into (cos kx)
6.952 * [backup-simplify]: Simplify (* 0 0) into 0
6.952 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.952 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.952 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.952 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
6.952 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
6.952 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
6.953 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
6.953 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
6.953 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
6.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.955 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.955 * [backup-simplify]: Simplify (+ 0) into 0
6.956 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.957 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.957 * [backup-simplify]: Simplify (+ 0 0) into 0
6.958 * [backup-simplify]: Simplify (+ 0) into 0
6.958 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
6.959 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.959 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
6.960 * [backup-simplify]: Simplify (+ 0 0) into 0
6.960 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
6.960 * [backup-simplify]: Simplify (+ 0 0) into 0
6.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
6.960 * [taylor]: Taking taylor expansion of (sin ky) in ky
6.960 * [taylor]: Taking taylor expansion of ky in ky
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify 1 into 1
6.961 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.961 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
6.961 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.961 * [taylor]: Taking taylor expansion of kx in kx
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)))) into 0
6.963 * [taylor]: Taking taylor expansion of 0 in kx
6.963 * [backup-simplify]: Simplify 0 into 0
6.963 * [backup-simplify]: Simplify 0 into 0
6.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.964 * [backup-simplify]: Simplify 1 into 1
6.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.966 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.968 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.969 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.969 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.970 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.971 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
6.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.973 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
6.973 * [backup-simplify]: Simplify (+ 0 0) into 0
6.974 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
6.974 * [backup-simplify]: Simplify (+ 1 0) into 1
6.975 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
6.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.978 * [backup-simplify]: Simplify (- (/ (/ 1/2 (sin kx)) 1) (+ (* (sin kx) (/ -1/6 1)) (* 0 (/ 0 1)))) into (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx))))
6.978 * [taylor]: Taking taylor expansion of (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) in kx
6.978 * [taylor]: Taking taylor expansion of (* 1/6 (sin kx)) in kx
6.978 * [taylor]: Taking taylor expansion of 1/6 in kx
6.978 * [backup-simplify]: Simplify 1/6 into 1/6
6.978 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.978 * [taylor]: Taking taylor expansion of kx in kx
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 1 into 1
6.978 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sin kx))) in kx
6.978 * [taylor]: Taking taylor expansion of 1/2 in kx
6.978 * [backup-simplify]: Simplify 1/2 into 1/2
6.978 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
6.978 * [taylor]: Taking taylor expansion of (sin kx) in kx
6.978 * [taylor]: Taking taylor expansion of kx in kx
6.978 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 1 into 1
6.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
6.980 * [backup-simplify]: Simplify (/ 1 1) into 1
6.980 * [backup-simplify]: Simplify (* 1/6 0) into 0
6.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.983 * [backup-simplify]: Simplify (+ 0 0) into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.984 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.984 * [backup-simplify]: Simplify 0 into 0
6.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.987 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
6.989 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
6.990 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.990 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.993 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.993 * [backup-simplify]: Simplify (+ 0 0) into 0
6.994 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.995 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.998 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.998 * [backup-simplify]: Simplify (+ 0 0) into 0
6.999 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
6.999 * [backup-simplify]: Simplify (+ 0 0) into 0
7.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.001 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)) (* 0 (/ -1/6 1)) (* (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) (/ 0 1)))) into 0
7.003 * [taylor]: Taking taylor expansion of 0 in kx
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.005 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
7.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
7.009 * [backup-simplify]: Simplify (+ (* 1/2 1/6) (+ (* 0 0) (* 0 1))) into 1/12
7.009 * [backup-simplify]: Simplify (+ 1/6 1/12) into 1/4
7.009 * [backup-simplify]: Simplify 1/4 into 1/4
7.010 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.011 * [backup-simplify]: Simplify -1/6 into -1/6
7.012 * [backup-simplify]: Simplify (+ (* -1/6 (* (pow kx 3) (/ 1 ky))) (+ (* 1/4 (* kx ky)) (* 1 (* kx (/ 1 ky))))) into (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
7.012 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) into (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))
7.012 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in (ky kx) around 0
7.012 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in kx
7.012 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.012 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.012 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.012 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.012 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.012 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.012 * [taylor]: Taking taylor expansion of ky in kx
7.012 * [backup-simplify]: Simplify ky into ky
7.012 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.012 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.012 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.012 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.012 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.012 * [taylor]: Taking taylor expansion of ky in kx
7.012 * [backup-simplify]: Simplify ky into ky
7.012 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.013 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.013 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.013 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.013 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.013 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.013 * [taylor]: Taking taylor expansion of kx in kx
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify 1 into 1
7.013 * [backup-simplify]: Simplify (/ 1 1) into 1
7.013 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.013 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.013 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.013 * [taylor]: Taking taylor expansion of kx in kx
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify 1 into 1
7.014 * [backup-simplify]: Simplify (/ 1 1) into 1
7.014 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.014 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.014 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.014 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.014 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.014 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.014 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.015 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.015 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.015 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.015 * [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)))
7.016 * [backup-simplify]: Simplify (+ 0) into 0
7.016 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.019 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.020 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.020 * [backup-simplify]: Simplify (+ 0 0) into 0
7.021 * [backup-simplify]: Simplify (+ 0) into 0
7.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.022 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.022 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.023 * [backup-simplify]: Simplify (+ 0 0) into 0
7.023 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.023 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.023 * [backup-simplify]: Simplify (+ 0 0) into 0
7.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.024 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.024 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.024 * [taylor]: Taking taylor expansion of ky in kx
7.024 * [backup-simplify]: Simplify ky into ky
7.024 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.024 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.024 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.024 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.024 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.024 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.025 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
7.025 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
7.025 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.025 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.025 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.025 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.025 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.025 * [taylor]: Taking taylor expansion of ky in ky
7.025 * [backup-simplify]: Simplify 0 into 0
7.025 * [backup-simplify]: Simplify 1 into 1
7.026 * [backup-simplify]: Simplify (/ 1 1) into 1
7.026 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.026 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.026 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.026 * [taylor]: Taking taylor expansion of ky in ky
7.026 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify 1 into 1
7.026 * [backup-simplify]: Simplify (/ 1 1) into 1
7.026 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.026 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.026 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.026 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.026 * [taylor]: Taking taylor expansion of kx in ky
7.026 * [backup-simplify]: Simplify kx into kx
7.026 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.026 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.027 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.027 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.027 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.027 * [taylor]: Taking taylor expansion of kx in ky
7.027 * [backup-simplify]: Simplify kx into kx
7.027 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.027 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.027 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.027 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.027 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.027 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.027 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.027 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.027 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.027 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.028 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.028 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.028 * [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)))
7.028 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.029 * [backup-simplify]: Simplify (+ 0) into 0
7.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.031 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.031 * [backup-simplify]: Simplify (+ 0 0) into 0
7.031 * [backup-simplify]: Simplify (+ 0) into 0
7.032 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.033 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.034 * [backup-simplify]: Simplify (+ 0 0) into 0
7.034 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.034 * [backup-simplify]: Simplify (+ 0 0) into 0
7.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.035 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.035 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.035 * [taylor]: Taking taylor expansion of ky in ky
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 1 into 1
7.035 * [backup-simplify]: Simplify (/ 1 1) into 1
7.035 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.035 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
7.035 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
7.035 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.036 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.036 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.036 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.036 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.036 * [taylor]: Taking taylor expansion of ky in ky
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify 1 into 1
7.036 * [backup-simplify]: Simplify (/ 1 1) into 1
7.036 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.036 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.036 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.036 * [taylor]: Taking taylor expansion of ky in ky
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify 1 into 1
7.037 * [backup-simplify]: Simplify (/ 1 1) into 1
7.037 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.037 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.037 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.037 * [taylor]: Taking taylor expansion of kx in ky
7.037 * [backup-simplify]: Simplify kx into kx
7.037 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.037 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.038 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.038 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.038 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.038 * [taylor]: Taking taylor expansion of kx in ky
7.038 * [backup-simplify]: Simplify kx into kx
7.038 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.038 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.038 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.038 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.038 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.038 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.038 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.038 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.038 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.038 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.039 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.039 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.039 * [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)))
7.039 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.040 * [backup-simplify]: Simplify (+ 0) into 0
7.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.041 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.042 * [backup-simplify]: Simplify (+ 0 0) into 0
7.042 * [backup-simplify]: Simplify (+ 0) into 0
7.043 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.044 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.044 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.044 * [backup-simplify]: Simplify (+ 0 0) into 0
7.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.045 * [backup-simplify]: Simplify (+ 0 0) into 0
7.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.045 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.045 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.045 * [taylor]: Taking taylor expansion of ky in ky
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 1 into 1
7.046 * [backup-simplify]: Simplify (/ 1 1) into 1
7.046 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.046 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
7.046 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in kx
7.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.046 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.046 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.046 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.046 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.046 * [taylor]: Taking taylor expansion of kx in kx
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify (/ 1 1) into 1
7.047 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.047 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.047 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.047 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.047 * [taylor]: Taking taylor expansion of ky in kx
7.047 * [backup-simplify]: Simplify ky into ky
7.047 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.047 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.047 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.048 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.048 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.048 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.048 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.048 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.048 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.049 * [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)))
7.049 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.049 * [backup-simplify]: Simplify (+ 0) into 0
7.050 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.052 * [backup-simplify]: Simplify (+ 0 0) into 0
7.052 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.052 * [backup-simplify]: Simplify (+ 0 0) into 0
7.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.053 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in kx
7.053 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.053 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.053 * [taylor]: Taking taylor expansion of ky in kx
7.053 * [backup-simplify]: Simplify ky into ky
7.053 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.053 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.053 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.053 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.053 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.053 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.053 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
7.054 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
7.054 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
7.054 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) into 0
7.055 * [taylor]: Taking taylor expansion of 0 in kx
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify (+ 0) into 0
7.056 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.057 * [backup-simplify]: Simplify (+ 0 0) into 0
7.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0
7.058 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ 1 ky))))) into 0
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.061 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.062 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.062 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.064 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.064 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.065 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.065 * [backup-simplify]: Simplify (+ 0 0) into 0
7.066 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.066 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.068 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
7.068 * [taylor]: Taking taylor expansion of 0 in kx
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.070 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.071 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.071 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.071 * [backup-simplify]: Simplify (+ 0 0) into 0
7.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
7.072 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.074 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.075 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.076 * [backup-simplify]: Simplify (+ 0 0) into 0
7.076 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.077 * [backup-simplify]: Simplify (+ 0 0) into 0
7.078 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.078 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 ky)))))) into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.080 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.081 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.084 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.084 * [backup-simplify]: Simplify (+ 0 0) into 0
7.085 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.088 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.089 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.089 * [backup-simplify]: Simplify (+ 0 0) into 0
7.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.090 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.092 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
7.092 * [taylor]: Taking taylor expansion of 0 in kx
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) (/ 1 (sin (/ 1 (/ 1 ky))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
7.093 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) into (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky)))
7.093 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in (ky kx) around 0
7.093 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in kx
7.093 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.093 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.093 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.093 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.093 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.093 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.093 * [taylor]: Taking taylor expansion of -1 in kx
7.093 * [backup-simplify]: Simplify -1 into -1
7.093 * [taylor]: Taking taylor expansion of ky in kx
7.093 * [backup-simplify]: Simplify ky into ky
7.093 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.093 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.093 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.093 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.093 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.093 * [taylor]: Taking taylor expansion of -1 in kx
7.093 * [backup-simplify]: Simplify -1 into -1
7.093 * [taylor]: Taking taylor expansion of ky in kx
7.093 * [backup-simplify]: Simplify ky into ky
7.093 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.093 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.094 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.094 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.094 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.094 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.094 * [taylor]: Taking taylor expansion of -1 in kx
7.094 * [backup-simplify]: Simplify -1 into -1
7.094 * [taylor]: Taking taylor expansion of kx in kx
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.094 * [backup-simplify]: Simplify (/ -1 1) into -1
7.094 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.094 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.094 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.094 * [taylor]: Taking taylor expansion of -1 in kx
7.094 * [backup-simplify]: Simplify -1 into -1
7.094 * [taylor]: Taking taylor expansion of kx in kx
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 1 into 1
7.095 * [backup-simplify]: Simplify (/ -1 1) into -1
7.095 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.095 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.095 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.095 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.095 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.095 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.096 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.096 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.096 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.096 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.096 * [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)))
7.097 * [backup-simplify]: Simplify (+ 0) into 0
7.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.097 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.098 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.099 * [backup-simplify]: Simplify (+ 0 0) into 0
7.099 * [backup-simplify]: Simplify (+ 0) into 0
7.100 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.100 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.101 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.101 * [backup-simplify]: Simplify (+ 0 0) into 0
7.102 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.102 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.102 * [backup-simplify]: Simplify (+ 0 0) into 0
7.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.102 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.102 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.102 * [taylor]: Taking taylor expansion of -1 in kx
7.102 * [backup-simplify]: Simplify -1 into -1
7.103 * [taylor]: Taking taylor expansion of ky in kx
7.103 * [backup-simplify]: Simplify ky into ky
7.103 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.103 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.103 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.103 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.103 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.103 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.103 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
7.103 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
7.103 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.104 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.104 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.104 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.104 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.104 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.104 * [taylor]: Taking taylor expansion of -1 in ky
7.104 * [backup-simplify]: Simplify -1 into -1
7.104 * [taylor]: Taking taylor expansion of ky in ky
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 1 into 1
7.104 * [backup-simplify]: Simplify (/ -1 1) into -1
7.105 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.105 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.105 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.105 * [taylor]: Taking taylor expansion of -1 in ky
7.105 * [backup-simplify]: Simplify -1 into -1
7.105 * [taylor]: Taking taylor expansion of ky in ky
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (/ -1 1) into -1
7.105 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.105 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.105 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.105 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.105 * [taylor]: Taking taylor expansion of -1 in ky
7.105 * [backup-simplify]: Simplify -1 into -1
7.105 * [taylor]: Taking taylor expansion of kx in ky
7.105 * [backup-simplify]: Simplify kx into kx
7.105 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.106 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.106 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.106 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.106 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.106 * [taylor]: Taking taylor expansion of -1 in ky
7.106 * [backup-simplify]: Simplify -1 into -1
7.106 * [taylor]: Taking taylor expansion of kx in ky
7.106 * [backup-simplify]: Simplify kx into kx
7.106 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.106 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.106 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.106 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.106 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.106 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.106 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.106 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.107 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.107 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.107 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.107 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.107 * [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)))
7.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.108 * [backup-simplify]: Simplify (+ 0) into 0
7.108 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.108 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.110 * [backup-simplify]: Simplify (+ 0 0) into 0
7.110 * [backup-simplify]: Simplify (+ 0) into 0
7.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.111 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.112 * [backup-simplify]: Simplify (+ 0 0) into 0
7.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.113 * [backup-simplify]: Simplify (+ 0 0) into 0
7.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.113 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.113 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.113 * [taylor]: Taking taylor expansion of -1 in ky
7.113 * [backup-simplify]: Simplify -1 into -1
7.113 * [taylor]: Taking taylor expansion of ky in ky
7.113 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify 1 into 1
7.114 * [backup-simplify]: Simplify (/ -1 1) into -1
7.114 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.114 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
7.114 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
7.114 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.114 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.114 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.114 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.114 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.114 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.114 * [taylor]: Taking taylor expansion of -1 in ky
7.114 * [backup-simplify]: Simplify -1 into -1
7.114 * [taylor]: Taking taylor expansion of ky in ky
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.115 * [backup-simplify]: Simplify (/ -1 1) into -1
7.115 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.115 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.115 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.115 * [taylor]: Taking taylor expansion of -1 in ky
7.115 * [backup-simplify]: Simplify -1 into -1
7.115 * [taylor]: Taking taylor expansion of ky in ky
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.116 * [backup-simplify]: Simplify (/ -1 1) into -1
7.116 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.116 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.116 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.116 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.116 * [taylor]: Taking taylor expansion of -1 in ky
7.116 * [backup-simplify]: Simplify -1 into -1
7.116 * [taylor]: Taking taylor expansion of kx in ky
7.116 * [backup-simplify]: Simplify kx into kx
7.116 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.116 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.116 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.116 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.116 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.116 * [taylor]: Taking taylor expansion of -1 in ky
7.116 * [backup-simplify]: Simplify -1 into -1
7.116 * [taylor]: Taking taylor expansion of kx in ky
7.116 * [backup-simplify]: Simplify kx into kx
7.116 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.116 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.116 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.117 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.117 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.117 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.117 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.117 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.117 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.117 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.117 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.117 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.118 * [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)))
7.118 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.118 * [backup-simplify]: Simplify (+ 0) into 0
7.119 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.119 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.120 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.121 * [backup-simplify]: Simplify (+ 0 0) into 0
7.121 * [backup-simplify]: Simplify (+ 0) into 0
7.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.122 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.123 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.123 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.123 * [backup-simplify]: Simplify (+ 0 0) into 0
7.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.124 * [backup-simplify]: Simplify (+ 0 0) into 0
7.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.124 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.124 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.124 * [taylor]: Taking taylor expansion of -1 in ky
7.124 * [backup-simplify]: Simplify -1 into -1
7.124 * [taylor]: Taking taylor expansion of ky in ky
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 1 into 1
7.125 * [backup-simplify]: Simplify (/ -1 1) into -1
7.125 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.125 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
7.125 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in kx
7.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.125 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.125 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.126 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.126 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.126 * [taylor]: Taking taylor expansion of -1 in kx
7.126 * [backup-simplify]: Simplify -1 into -1
7.126 * [taylor]: Taking taylor expansion of kx in kx
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 1 into 1
7.126 * [backup-simplify]: Simplify (/ -1 1) into -1
7.126 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.126 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.126 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.126 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.126 * [taylor]: Taking taylor expansion of -1 in kx
7.126 * [backup-simplify]: Simplify -1 into -1
7.126 * [taylor]: Taking taylor expansion of ky in kx
7.126 * [backup-simplify]: Simplify ky into ky
7.126 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.126 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.127 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.127 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.127 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.127 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.127 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.127 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.127 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.127 * [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)))
7.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.128 * [backup-simplify]: Simplify (+ 0) into 0
7.129 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.129 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.130 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.130 * [backup-simplify]: Simplify (+ 0 0) into 0
7.130 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.131 * [backup-simplify]: Simplify (+ 0 0) into 0
7.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.131 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in kx
7.131 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.131 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.131 * [taylor]: Taking taylor expansion of -1 in kx
7.131 * [backup-simplify]: Simplify -1 into -1
7.131 * [taylor]: Taking taylor expansion of ky in kx
7.131 * [backup-simplify]: Simplify ky into ky
7.131 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.131 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.131 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.132 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.132 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.132 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.132 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
7.132 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
7.132 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
7.133 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) into 0
7.133 * [taylor]: Taking taylor expansion of 0 in kx
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify (+ 0) into 0
7.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.134 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.135 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.135 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.136 * [backup-simplify]: Simplify (+ 0 0) into 0
7.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0
7.136 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ -1 ky))))) into 0
7.136 * [backup-simplify]: Simplify 0 into 0
7.137 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.139 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.140 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.141 * [backup-simplify]: Simplify (+ 0 0) into 0
7.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.142 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.144 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.144 * [backup-simplify]: Simplify (+ 0 0) into 0
7.144 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.145 * [backup-simplify]: Simplify (+ 0 0) into 0
7.146 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.146 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
7.146 * [taylor]: Taking taylor expansion of 0 in kx
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.148 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.149 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.149 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.150 * [backup-simplify]: Simplify (+ 0 0) into 0
7.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
7.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.151 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.152 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.153 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.154 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.154 * [backup-simplify]: Simplify (+ 0 0) into 0
7.155 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.155 * [backup-simplify]: Simplify (+ 0 0) into 0
7.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.157 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 ky)))))) into 0
7.157 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
7.159 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.160 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.160 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.162 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.162 * [backup-simplify]: Simplify (+ 0 0) into 0
7.163 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.164 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.164 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.167 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.167 * [backup-simplify]: Simplify (+ 0 0) into 0
7.170 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
7.170 * [backup-simplify]: Simplify (+ 0 0) into 0
7.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.172 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
7.172 * [taylor]: Taking taylor expansion of 0 in kx
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) (/ 1 (sin (/ -1 (/ 1 (- ky)))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
7.172 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1)
7.173 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
7.173 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
7.173 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
7.173 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.173 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
7.173 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
7.173 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.173 * [taylor]: Taking taylor expansion of ky in kx
7.173 * [backup-simplify]: Simplify ky into ky
7.173 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.173 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.173 * [taylor]: Taking taylor expansion of (sin ky) in kx
7.173 * [taylor]: Taking taylor expansion of ky in kx
7.173 * [backup-simplify]: Simplify ky into ky
7.173 * [backup-simplify]: Simplify (sin ky) into (sin ky)
7.173 * [backup-simplify]: Simplify (cos ky) into (cos ky)
7.173 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
7.173 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.173 * [taylor]: Taking taylor expansion of kx in kx
7.173 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify 1 into 1
7.173 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.173 * [taylor]: Taking taylor expansion of kx in kx
7.173 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify 1 into 1
7.173 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.173 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.173 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.174 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
7.174 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
7.174 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
7.174 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
7.174 * [backup-simplify]: Simplify (* 0 0) into 0
7.174 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
7.174 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
7.175 * [backup-simplify]: Simplify (+ 0) into 0
7.175 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.176 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.177 * [backup-simplify]: Simplify (+ 0 0) into 0
7.177 * [backup-simplify]: Simplify (+ 0) into 0
7.178 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
7.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.179 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
7.179 * [backup-simplify]: Simplify (+ 0 0) into 0
7.179 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
7.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.181 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.182 * [backup-simplify]: Simplify (+ 0 0) into 0
7.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
7.182 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.182 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.182 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.182 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.182 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.182 * [taylor]: Taking taylor expansion of ky in ky
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify 1 into 1
7.182 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.182 * [taylor]: Taking taylor expansion of ky in ky
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify 1 into 1
7.182 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.182 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.182 * [taylor]: Taking taylor expansion of kx in ky
7.182 * [backup-simplify]: Simplify kx into kx
7.182 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.182 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.182 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.182 * [taylor]: Taking taylor expansion of kx in ky
7.182 * [backup-simplify]: Simplify kx into kx
7.182 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.183 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.183 * [backup-simplify]: Simplify (* 0 0) into 0
7.183 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.183 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.183 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.183 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.183 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.184 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.184 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.184 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.184 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.185 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.186 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.186 * [backup-simplify]: Simplify (+ 0) into 0
7.187 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.188 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.188 * [backup-simplify]: Simplify (+ 0 0) into 0
7.189 * [backup-simplify]: Simplify (+ 0) into 0
7.189 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.190 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.190 * [backup-simplify]: Simplify (+ 0 0) into 0
7.190 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.191 * [backup-simplify]: Simplify (+ 0 0) into 0
7.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.191 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
7.191 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
7.191 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
7.191 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
7.191 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.191 * [taylor]: Taking taylor expansion of ky in ky
7.191 * [backup-simplify]: Simplify 0 into 0
7.191 * [backup-simplify]: Simplify 1 into 1
7.191 * [taylor]: Taking taylor expansion of (sin ky) in ky
7.191 * [taylor]: Taking taylor expansion of ky in ky
7.191 * [backup-simplify]: Simplify 0 into 0
7.191 * [backup-simplify]: Simplify 1 into 1
7.191 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
7.191 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.191 * [taylor]: Taking taylor expansion of kx in ky
7.191 * [backup-simplify]: Simplify kx into kx
7.191 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.191 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.191 * [taylor]: Taking taylor expansion of (sin kx) in ky
7.191 * [taylor]: Taking taylor expansion of kx in ky
7.191 * [backup-simplify]: Simplify kx into kx
7.191 * [backup-simplify]: Simplify (sin kx) into (sin kx)
7.191 * [backup-simplify]: Simplify (cos kx) into (cos kx)
7.191 * [backup-simplify]: Simplify (* 0 0) into 0
7.192 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.192 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.192 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.192 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
7.192 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
7.192 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
7.192 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
7.192 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
7.192 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
7.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.193 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.193 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.194 * [backup-simplify]: Simplify (+ 0) into 0
7.194 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.195 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.195 * [backup-simplify]: Simplify (+ 0 0) into 0
7.195 * [backup-simplify]: Simplify (+ 0) into 0
7.195 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
7.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.196 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
7.196 * [backup-simplify]: Simplify (+ 0 0) into 0
7.196 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
7.197 * [backup-simplify]: Simplify (+ 0 0) into 0
7.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
7.197 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.197 * [taylor]: Taking taylor expansion of kx in kx
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [taylor]: Taking taylor expansion of 0 in kx
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.197 * [backup-simplify]: Simplify 1 into 1
7.198 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.200 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.201 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.201 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.201 * [backup-simplify]: Simplify (+ 0 0) into 0
7.202 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.202 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
7.203 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.203 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
7.203 * [backup-simplify]: Simplify (+ 0 0) into 0
7.204 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
7.204 * [backup-simplify]: Simplify (+ 1 0) into 1
7.205 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
7.205 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
7.205 * [taylor]: Taking taylor expansion of 1/2 in kx
7.205 * [backup-simplify]: Simplify 1/2 into 1/2
7.205 * [taylor]: Taking taylor expansion of (sin kx) in kx
7.205 * [taylor]: Taking taylor expansion of kx in kx
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 1 into 1
7.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.206 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.206 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify 0 into 0
7.207 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.207 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.209 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
7.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.210 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.212 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.212 * [backup-simplify]: Simplify (+ 0 0) into 0
7.213 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.213 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.214 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.215 * [backup-simplify]: Simplify (+ 0 0) into 0
7.215 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
7.215 * [backup-simplify]: Simplify (+ 0 0) into 0
7.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
7.215 * [taylor]: Taking taylor expansion of 0 in kx
7.215 * [backup-simplify]: Simplify 0 into 0
7.216 * [backup-simplify]: Simplify 0 into 0
7.216 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
7.217 * [backup-simplify]: Simplify 1/12 into 1/12
7.217 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.218 * [backup-simplify]: Simplify -1/6 into -1/6
7.218 * [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)))
7.218 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
7.218 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
7.219 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
7.219 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.219 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
7.219 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
7.219 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.219 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.219 * [taylor]: Taking taylor expansion of ky in kx
7.219 * [backup-simplify]: Simplify ky into ky
7.219 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.219 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.219 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.219 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.219 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.219 * [taylor]: Taking taylor expansion of ky in kx
7.219 * [backup-simplify]: Simplify ky into ky
7.219 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.219 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.219 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.219 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
7.219 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.219 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.219 * [taylor]: Taking taylor expansion of kx in kx
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 1 into 1
7.219 * [backup-simplify]: Simplify (/ 1 1) into 1
7.219 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.219 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.219 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.219 * [taylor]: Taking taylor expansion of kx in kx
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 1 into 1
7.220 * [backup-simplify]: Simplify (/ 1 1) into 1
7.220 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.220 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.220 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.220 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.220 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.220 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.220 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.220 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.220 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.220 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.220 * [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)))
7.221 * [backup-simplify]: Simplify (+ 0) into 0
7.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.222 * [backup-simplify]: Simplify (+ 0 0) into 0
7.222 * [backup-simplify]: Simplify (+ 0) into 0
7.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.224 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.224 * [backup-simplify]: Simplify (+ 0 0) into 0
7.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.224 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.224 * [backup-simplify]: Simplify (+ 0 0) into 0
7.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.224 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.224 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.224 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.224 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.224 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.224 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.224 * [taylor]: Taking taylor expansion of ky in ky
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 1 into 1
7.225 * [backup-simplify]: Simplify (/ 1 1) into 1
7.225 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.225 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.225 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.225 * [taylor]: Taking taylor expansion of ky in ky
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 1 into 1
7.225 * [backup-simplify]: Simplify (/ 1 1) into 1
7.225 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.225 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.225 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.225 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.225 * [taylor]: Taking taylor expansion of kx in ky
7.225 * [backup-simplify]: Simplify kx into kx
7.225 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.225 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.225 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.225 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.225 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.225 * [taylor]: Taking taylor expansion of kx in ky
7.225 * [backup-simplify]: Simplify kx into kx
7.226 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.226 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.226 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.226 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.226 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.226 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.226 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.226 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.226 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.226 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.226 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.226 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.226 * [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)))
7.226 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.227 * [backup-simplify]: Simplify (+ 0) into 0
7.227 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.228 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.228 * [backup-simplify]: Simplify (+ 0 0) into 0
7.228 * [backup-simplify]: Simplify (+ 0) into 0
7.229 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.229 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.230 * [backup-simplify]: Simplify (+ 0 0) into 0
7.230 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.230 * [backup-simplify]: Simplify (+ 0 0) into 0
7.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.230 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
7.230 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
7.230 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
7.230 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
7.230 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.230 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.230 * [taylor]: Taking taylor expansion of ky in ky
7.230 * [backup-simplify]: Simplify 0 into 0
7.230 * [backup-simplify]: Simplify 1 into 1
7.231 * [backup-simplify]: Simplify (/ 1 1) into 1
7.231 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.231 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
7.231 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
7.231 * [taylor]: Taking taylor expansion of ky in ky
7.231 * [backup-simplify]: Simplify 0 into 0
7.231 * [backup-simplify]: Simplify 1 into 1
7.231 * [backup-simplify]: Simplify (/ 1 1) into 1
7.231 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.231 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
7.231 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.231 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.231 * [taylor]: Taking taylor expansion of kx in ky
7.231 * [backup-simplify]: Simplify kx into kx
7.231 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.231 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.231 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.231 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
7.231 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
7.231 * [taylor]: Taking taylor expansion of kx in ky
7.231 * [backup-simplify]: Simplify kx into kx
7.231 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
7.231 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.231 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
7.231 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.232 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.232 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.232 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.232 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
7.232 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
7.232 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
7.232 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.232 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.232 * [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)))
7.232 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.232 * [backup-simplify]: Simplify (+ 0) into 0
7.233 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.233 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.234 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.234 * [backup-simplify]: Simplify (+ 0 0) into 0
7.234 * [backup-simplify]: Simplify (+ 0) into 0
7.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
7.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
7.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.236 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
7.237 * [backup-simplify]: Simplify (+ 0 0) into 0
7.237 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.237 * [backup-simplify]: Simplify (+ 0 0) into 0
7.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
7.238 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
7.238 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
7.238 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
7.238 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
7.238 * [taylor]: Taking taylor expansion of kx in kx
7.238 * [backup-simplify]: Simplify 0 into 0
7.238 * [backup-simplify]: Simplify 1 into 1
7.238 * [backup-simplify]: Simplify (/ 1 1) into 1
7.238 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
7.238 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
7.238 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
7.238 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
7.238 * [taylor]: Taking taylor expansion of ky in kx
7.238 * [backup-simplify]: Simplify ky into ky
7.239 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
7.239 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
7.239 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
7.239 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
7.239 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
7.239 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
7.239 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
7.239 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
7.239 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
7.240 * [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)))
7.240 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
7.240 * [backup-simplify]: Simplify (+ 0) into 0
7.241 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
7.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
7.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
7.242 * [backup-simplify]: Simplify (+ 0 0) into 0
7.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
7.242 * [backup-simplify]: Simplify (+ 0 0) into 0
7.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.243 * [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)))
7.243 * [taylor]: Taking taylor expansion of 0 in kx
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.245 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.245 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.245 * [backup-simplify]: Simplify (+ 0 0) into 0
7.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.246 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.247 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.247 * [backup-simplify]: Simplify (+ 0 0) into 0
7.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.248 * [backup-simplify]: Simplify (+ 0 0) into 0
7.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.249 * [taylor]: Taking taylor expansion of 0 in kx
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify 0 into 0
7.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
7.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.250 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.251 * [backup-simplify]: Simplify (+ 0 0) into 0
7.252 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
7.252 * [backup-simplify]: Simplify (+ 0 0) into 0
7.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.253 * [backup-simplify]: Simplify 0 into 0
7.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
7.254 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.256 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.256 * [backup-simplify]: Simplify (+ 0 0) into 0
7.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.258 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.259 * [backup-simplify]: Simplify (+ 0 0) into 0
7.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
7.259 * [backup-simplify]: Simplify (+ 0 0) into 0
7.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
7.260 * [taylor]: Taking taylor expansion of 0 in kx
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [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)))
7.260 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
7.260 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
7.260 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
7.260 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.260 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
7.260 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
7.260 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.260 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.260 * [taylor]: Taking taylor expansion of -1 in kx
7.260 * [backup-simplify]: Simplify -1 into -1
7.260 * [taylor]: Taking taylor expansion of ky in kx
7.260 * [backup-simplify]: Simplify ky into ky
7.260 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.261 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.261 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.261 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.261 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.261 * [taylor]: Taking taylor expansion of -1 in kx
7.261 * [backup-simplify]: Simplify -1 into -1
7.261 * [taylor]: Taking taylor expansion of ky in kx
7.261 * [backup-simplify]: Simplify ky into ky
7.261 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.261 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.261 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.261 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
7.261 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.261 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.261 * [taylor]: Taking taylor expansion of -1 in kx
7.261 * [backup-simplify]: Simplify -1 into -1
7.261 * [taylor]: Taking taylor expansion of kx in kx
7.261 * [backup-simplify]: Simplify 0 into 0
7.261 * [backup-simplify]: Simplify 1 into 1
7.261 * [backup-simplify]: Simplify (/ -1 1) into -1
7.261 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.261 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.261 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.261 * [taylor]: Taking taylor expansion of -1 in kx
7.261 * [backup-simplify]: Simplify -1 into -1
7.261 * [taylor]: Taking taylor expansion of kx in kx
7.261 * [backup-simplify]: Simplify 0 into 0
7.261 * [backup-simplify]: Simplify 1 into 1
7.262 * [backup-simplify]: Simplify (/ -1 1) into -1
7.262 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.262 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.262 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.262 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.262 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.262 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.262 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.262 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.262 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.262 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.262 * [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)))
7.263 * [backup-simplify]: Simplify (+ 0) into 0
7.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.263 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.264 * [backup-simplify]: Simplify (+ 0 0) into 0
7.264 * [backup-simplify]: Simplify (+ 0) into 0
7.265 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.265 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.266 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.266 * [backup-simplify]: Simplify (+ 0 0) into 0
7.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.266 * [backup-simplify]: Simplify (+ 0 0) into 0
7.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.266 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.266 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.266 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.266 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.266 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.267 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.267 * [taylor]: Taking taylor expansion of -1 in ky
7.267 * [backup-simplify]: Simplify -1 into -1
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 * [backup-simplify]: Simplify (/ -1 1) into -1
7.267 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.267 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.267 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.267 * [taylor]: Taking taylor expansion of -1 in ky
7.267 * [backup-simplify]: Simplify -1 into -1
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 * [backup-simplify]: Simplify (/ -1 1) into -1
7.267 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.267 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.267 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.267 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.267 * [taylor]: Taking taylor expansion of -1 in ky
7.267 * [backup-simplify]: Simplify -1 into -1
7.267 * [taylor]: Taking taylor expansion of kx in ky
7.267 * [backup-simplify]: Simplify kx into kx
7.267 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.268 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.268 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.268 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.268 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.268 * [taylor]: Taking taylor expansion of -1 in ky
7.268 * [backup-simplify]: Simplify -1 into -1
7.268 * [taylor]: Taking taylor expansion of kx in ky
7.268 * [backup-simplify]: Simplify kx into kx
7.268 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.268 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.268 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.268 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.268 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.268 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.268 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.268 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.268 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.268 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.268 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.268 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.268 * [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)))
7.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.269 * [backup-simplify]: Simplify (+ 0) into 0
7.269 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.269 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.272 * [backup-simplify]: Simplify (+ 0 0) into 0
7.272 * [backup-simplify]: Simplify (+ 0) into 0
7.272 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.272 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.273 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.273 * [backup-simplify]: Simplify (+ 0 0) into 0
7.273 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.274 * [backup-simplify]: Simplify (+ 0 0) into 0
7.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.274 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
7.274 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
7.274 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
7.274 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
7.274 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.274 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.274 * [taylor]: Taking taylor expansion of -1 in ky
7.274 * [backup-simplify]: Simplify -1 into -1
7.274 * [taylor]: Taking taylor expansion of ky in ky
7.274 * [backup-simplify]: Simplify 0 into 0
7.274 * [backup-simplify]: Simplify 1 into 1
7.275 * [backup-simplify]: Simplify (/ -1 1) into -1
7.275 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.275 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
7.275 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
7.275 * [taylor]: Taking taylor expansion of -1 in ky
7.275 * [backup-simplify]: Simplify -1 into -1
7.275 * [taylor]: Taking taylor expansion of ky in ky
7.275 * [backup-simplify]: Simplify 0 into 0
7.275 * [backup-simplify]: Simplify 1 into 1
7.276 * [backup-simplify]: Simplify (/ -1 1) into -1
7.276 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.276 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
7.276 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.276 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.276 * [taylor]: Taking taylor expansion of -1 in ky
7.276 * [backup-simplify]: Simplify -1 into -1
7.276 * [taylor]: Taking taylor expansion of kx in ky
7.276 * [backup-simplify]: Simplify kx into kx
7.276 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.276 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.276 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.276 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
7.276 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
7.276 * [taylor]: Taking taylor expansion of -1 in ky
7.276 * [backup-simplify]: Simplify -1 into -1
7.276 * [taylor]: Taking taylor expansion of kx in ky
7.276 * [backup-simplify]: Simplify kx into kx
7.276 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
7.276 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.276 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
7.276 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.277 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.277 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.277 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.277 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
7.277 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
7.277 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
7.277 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.277 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.278 * [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)))
7.278 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.278 * [backup-simplify]: Simplify (+ 0) into 0
7.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.279 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.281 * [backup-simplify]: Simplify (+ 0 0) into 0
7.281 * [backup-simplify]: Simplify (+ 0) into 0
7.281 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
7.282 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
7.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.283 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
7.283 * [backup-simplify]: Simplify (+ 0 0) into 0
7.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.284 * [backup-simplify]: Simplify (+ 0 0) into 0
7.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
7.284 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
7.284 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
7.284 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
7.284 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
7.284 * [taylor]: Taking taylor expansion of -1 in kx
7.285 * [backup-simplify]: Simplify -1 into -1
7.285 * [taylor]: Taking taylor expansion of kx in kx
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify 1 into 1
7.285 * [backup-simplify]: Simplify (/ -1 1) into -1
7.285 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
7.285 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
7.285 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
7.285 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
7.285 * [taylor]: Taking taylor expansion of -1 in kx
7.285 * [backup-simplify]: Simplify -1 into -1
7.285 * [taylor]: Taking taylor expansion of ky in kx
7.285 * [backup-simplify]: Simplify ky into ky
7.285 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
7.285 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
7.286 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
7.286 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
7.286 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
7.286 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
7.286 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
7.286 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
7.286 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
7.286 * [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)))
7.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
7.287 * [backup-simplify]: Simplify (+ 0) into 0
7.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
7.288 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
7.289 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.289 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
7.290 * [backup-simplify]: Simplify (+ 0 0) into 0
7.290 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
7.290 * [backup-simplify]: Simplify (+ 0 0) into 0
7.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.291 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
7.291 * [taylor]: Taking taylor expansion of 0 in kx
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.292 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.293 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.295 * [backup-simplify]: Simplify (+ 0 0) into 0
7.296 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
7.297 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.298 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
7.299 * [backup-simplify]: Simplify (+ 0 0) into 0
7.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.300 * [backup-simplify]: Simplify (+ 0 0) into 0
7.301 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.301 * [taylor]: Taking taylor expansion of 0 in kx
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
7.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
7.304 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
7.304 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
7.305 * [backup-simplify]: Simplify (+ 0 0) into 0
7.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
7.306 * [backup-simplify]: Simplify (+ 0 0) into 0
7.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.307 * [backup-simplify]: Simplify 0 into 0
7.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
7.309 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.311 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.313 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.314 * [backup-simplify]: Simplify (+ 0 0) into 0
7.315 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.316 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
7.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.318 * [backup-simplify]: Simplify (+ (* (cos (/ -1 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 (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
7.320 * [backup-simplify]: Simplify (+ 0 0) into 0
7.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
7.321 * [taylor]: Taking taylor expansion of 0 in kx
7.321 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify 0 into 0
7.321 * [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)))
7.321 * * * [progress]: simplifying candidates
7.322 * * * * [progress]: [ 1 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 2 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 3 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) -1)))>
7.322 * * * * [progress]: [ 4 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) (- 1))))>
7.322 * * * * [progress]: [ 5 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) 1)))>
7.322 * * * * [progress]: [ 6 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
7.322 * * * * [progress]: [ 7 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 8 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
7.322 * * * * [progress]: [ 9 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 10 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
7.322 * * * * [progress]: [ 11 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 12 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 13 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 14 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))))>
7.322 * * * * [progress]: [ 15 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 16 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.322 * * * * [progress]: [ 17 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.323 * * * * [progress]: [ 18 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.323 * * * * [progress]: [ 19 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (- 1) (- (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.323 * * * * [progress]: [ 20 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.323 * * * * [progress]: [ 21 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.323 * * * * [progress]: [ 22 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.323 * * * * [progress]: [ 23 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.323 * * * * [progress]: [ 24 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.323 * * * * [progress]: [ 25 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.323 * * * * [progress]: [ 26 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.323 * * * * [progress]: [ 27 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.323 * * * * [progress]: [ 28 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
7.323 * * * * [progress]: [ 29 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky)))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
7.323 * * * * [progress]: [ 30 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.323 * * * * [progress]: [ 31 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.323 * * * * [progress]: [ 32 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx))) (/ (cbrt 1) (/ 1 (sin ky))))))>
7.324 * * * * [progress]: [ 33 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.324 * * * * [progress]: [ 34 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.324 * * * * [progress]: [ 35 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.324 * * * * [progress]: [ 36 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.324 * * * * [progress]: [ 37 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.324 * * * * [progress]: [ 38 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.324 * * * * [progress]: [ 39 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.324 * * * * [progress]: [ 40 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.324 * * * * [progress]: [ 41 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
7.324 * * * * [progress]: [ 42 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ 1 (sqrt (sin ky)))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
7.324 * * * * [progress]: [ 43 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.324 * * * * [progress]: [ 44 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.324 * * * * [progress]: [ 45 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ (sqrt 1) (hypot (sin ky) (sin kx))) (/ (sqrt 1) (/ 1 (sin ky))))))>
7.324 * * * * [progress]: [ 46 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ 1 (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.324 * * * * [progress]: [ 47 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.325 * * * * [progress]: [ 48 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.325 * * * * [progress]: [ 49 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.325 * * * * [progress]: [ 50 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.325 * * * * [progress]: [ 51 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.325 * * * * [progress]: [ 52 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.325 * * * * [progress]: [ 53 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.325 * * * * [progress]: [ 54 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ 1 (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
7.325 * * * * [progress]: [ 55 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ 1 (sqrt (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
7.325 * * * * [progress]: [ 56 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (/ 1 1)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.325 * * * * [progress]: [ 57 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.325 * * * * [progress]: [ 58 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin ky) (sin kx))) (/ 1 (/ 1 (sin ky))))))>
7.325 * * * * [progress]: [ 59 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.325 * * * * [progress]: [ 60 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.325 * * * * [progress]: [ 61 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
7.325 * * * * [progress]: [ 62 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.325 * * * * [progress]: [ 63 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.325 * * * * [progress]: [ 64 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.326 * * * * [progress]: [ 65 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.326 * * * * [progress]: [ 66 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.326 * * * * [progress]: [ 67 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.326 * * * * [progress]: [ 68 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.326 * * * * [progress]: [ 69 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.326 * * * * [progress]: [ 70 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
7.326 * * * * [progress]: [ 71 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 (sqrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
7.326 * * * * [progress]: [ 72 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (/ 1 1)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.326 * * * * [progress]: [ 73 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.326 * * * * [progress]: [ 74 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (/ 1 (hypot (sin ky) (sin kx))) (/ 1 (sin ky)))))>
7.326 * * * * [progress]: [ 75 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt 1)))))>
7.326 * * * * [progress]: [ 76 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sqrt 1) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt 1)))))>
7.326 * * * * [progress]: [ 77 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
7.326 * * * * [progress]: [ 78 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (/ 1 (hypot (sin ky) (sin kx))) (sin ky))))>
7.326 * * * * [progress]: [ 79 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.326 * * * * [progress]: [ 80 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 81 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 82 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) 1))>
7.327 * * * * [progress]: [ 83 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) 1))>
7.327 * * * * [progress]: [ 84 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
7.327 * * * * [progress]: [ 85 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 86 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
7.327 * * * * [progress]: [ 87 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 88 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
7.327 * * * * [progress]: [ 89 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 90 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 91 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 92 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 93 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))))>
7.327 * * * * [progress]: [ 94 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 95 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 96 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.327 * * * * [progress]: [ 97 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.328 * * * * [progress]: [ 98 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.328 * * * * [progress]: [ 99 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.328 * * * * [progress]: [ 100 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
7.328 * * * * [progress]: [ 101 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.328 * * * * [progress]: [ 102 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.328 * * * * [progress]: [ 103 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.328 * * * * [progress]: [ 104 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.328 * * * * [progress]: [ 105 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.328 * * * * [progress]: [ 106 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.328 * * * * [progress]: [ 107 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.328 * * * * [progress]: [ 108 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (/ (cbrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.328 * * * * [progress]: [ 109 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.328 * * * * [progress]: [ 110 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.328 * * * * [progress]: [ 111 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.328 * * * * [progress]: [ 112 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))) (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.329 * * * * [progress]: [ 113 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.329 * * * * [progress]: [ 114 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.329 * * * * [progress]: [ 115 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1))) (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.329 * * * * [progress]: [ 116 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
7.329 * * * * [progress]: [ 117 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky))))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
7.329 * * * * [progress]: [ 118 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.329 * * * * [progress]: [ 119 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.329 * * * * [progress]: [ 120 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx)))) (/ (cbrt 1) (/ 1 (sin ky)))))>
7.329 * * * * [progress]: [ 121 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (/ (sqrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.329 * * * * [progress]: [ 122 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.329 * * * * [progress]: [ 123 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.329 * * * * [progress]: [ 124 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.329 * * * * [progress]: [ 125 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))) (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.329 * * * * [progress]: [ 126 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.329 * * * * [progress]: [ 127 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.330 * * * * [progress]: [ 128 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1))) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.330 * * * * [progress]: [ 129 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
7.330 * * * * [progress]: [ 130 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ 1 (sqrt (sin ky))))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
7.330 * * * * [progress]: [ 131 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (/ 1 1))) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.330 * * * * [progress]: [ 132 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.330 * * * * [progress]: [ 133 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ (sqrt 1) (hypot (sin ky) (sin kx)))) (/ (sqrt 1) (/ 1 (sin ky)))))>
7.330 * * * * [progress]: [ 134 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))) (/ 1 (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.330 * * * * [progress]: [ 135 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.330 * * * * [progress]: [ 136 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.330 * * * * [progress]: [ 137 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.330 * * * * [progress]: [ 138 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))) (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.330 * * * * [progress]: [ 139 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
7.330 * * * * [progress]: [ 140 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
7.330 * * * * [progress]: [ 141 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
7.330 * * * * [progress]: [ 142 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))) (/ 1 (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
7.330 * * * * [progress]: [ 143 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ 1 (sqrt (sin ky))))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
7.331 * * * * [progress]: [ 144 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (/ 1 1))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.331 * * * * [progress]: [ 145 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 1)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.331 * * * * [progress]: [ 146 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin ky) (sin kx)))) (/ 1 (/ 1 (sin ky)))))>
7.331 * * * * [progress]: [ 147 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.331 * * * * [progress]: [ 148 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
7.331 * * * * [progress]: [ 149 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (/ 1 (hypot (sin ky) (sin kx)))) (sin ky)))>
7.331 * * * * [progress]: [ 150 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.331 * * * * [progress]: [ 151 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.331 * * * * [progress]: [ 152 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.331 * * * * [progress]: [ 153 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (sin th) 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
7.331 * * * * [progress]: [ 154 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.331 * * * * [progress]: [ 155 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (sin th)))>
7.331 * * * * [progress]: [ 156 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (log1p (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.331 * * * * [progress]: [ 157 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.331 * * * * [progress]: [ 158 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) 1))))>
7.331 * * * * [progress]: [ 159 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (exp (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))))>
7.331 * * * * [progress]: [ 160 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (exp (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.331 * * * * [progress]: [ 161 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (log (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.332 * * * * [progress]: [ 162 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (cbrt (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))))>
7.332 * * * * [progress]: [ 163 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.332 * * * * [progress]: [ 164 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (cbrt (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.332 * * * * [progress]: [ 165 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.332 * * * * [progress]: [ 166 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (- (hypot (sin ky) (sin kx))) (- (sin ky))))))>
7.332 * * * * [progress]: [ 167 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.332 * * * * [progress]: [ 168 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.332 * * * * [progress]: [ 169 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.332 * * * * [progress]: [ 170 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))))>
7.332 * * * * [progress]: [ 171 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))))>
7.332 * * * * [progress]: [ 172 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ (sqrt (hypot (sin ky) (sin kx))) 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))))>
7.332 * * * * [progress]: [ 173 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))))>
7.332 * * * * [progress]: [ 174 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))))>
7.332 * * * * [progress]: [ 175 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.333 * * * * [progress]: [ 176 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
7.333 * * * * [progress]: [ 177 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (hypot (sin ky) (sin kx)) (/ 1 (sin ky))))))>
7.333 * * * * [progress]: [ 178 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
7.333 * * * * [progress]: [ 179 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky))))))>
7.333 * * * * [progress]: [ 180 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) (sqrt (sin ky))))))>
7.333 * * * * [progress]: [ 181 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) 1) (sin ky)))))>
7.333 * * * * [progress]: [ 182 / 208 ] 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))))))))>
7.333 * * * * [progress]: [ 183 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))))))>
7.333 * * * * [progress]: [ 184 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx)))))))>
7.333 * * * * [progress]: [ 185 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))))))>
7.333 * * * * [progress]: [ 186 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (log1p (expm1 (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.333 * * * * [progress]: [ 187 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (expm1 (log1p (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.333 * * * * [progress]: [ 188 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))))>
7.333 * * * * [progress]: [ 189 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (pow (hypot (sin ky) (sin kx)) 1) (sin ky)))))>
7.334 * * * * [progress]: [ 190 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (exp (log (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.334 * * * * [progress]: [ 191 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (log (exp (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.334 * * * * [progress]: [ 192 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.334 * * * * [progress]: [ 193 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.334 * * * * [progress]: [ 194 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.334 * * * * [progress]: [ 195 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky)))))>
7.334 * * * * [progress]: [ 196 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))>
7.334 * * * * [progress]: [ 197 / 208 ] 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))))))>
7.334 * * * * [progress]: [ 198 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
7.334 * * * * [progress]: [ 199 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
7.334 * * * * [progress]: [ 200 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
7.334 * * * * [progress]: [ 201 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
7.334 * * * * [progress]: [ 202 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
7.334 * * * * [progress]: [ 203 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky))))))>
7.334 * * * * [progress]: [ 204 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))>
7.334 * * * * [progress]: [ 205 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky))))))>
7.335 * * * * [progress]: [ 206 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))) (sin ky)))))>
7.335 * * * * [progress]: [ 207 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)))))>
7.335 * * * * [progress]: [ 208 / 208 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky)))))>
7.338 * [simplify]: Simplifying:
  (expm1 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log1p (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- 1)
  (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (exp (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))
  (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- 1)
  (- (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (cbrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (cbrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (cbrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (cbrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky))))
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx)))
  (/ (cbrt 1) (/ 1 (sin ky)))
  (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sqrt 1) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sqrt 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (sqrt 1) (/ 1 (sqrt (sin ky))))
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (sqrt 1) (/ 1 1))
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt 1) (hypot (sin ky) (sin kx)))
  (/ (sqrt 1) (/ 1 (sin ky)))
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ 1 (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ 1 (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 1)
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ 1 (/ 1 (sin ky)))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1)
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ 1 1)
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt 1))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt 1))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) 1)
  (/ 1 (hypot (sin ky) (sin kx)))
  (real->posit16 (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (expm1 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (log1p (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (+ (log (sin th)) (- (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))
  (+ (log (sin th)) (- (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (+ (log (sin th)) (- 0 (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))
  (+ (log (sin th)) (- 0 (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (+ (log (sin th)) (- (log 1) (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))))
  (+ (log (sin th)) (- (log 1) (log (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (+ (log (sin th)) (log (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (log (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (exp (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))))
  (* (* (* (sin th) (sin th)) (sin th)) (/ (* (* 1 1) 1) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (* (* (sin th) (sin th)) (sin th)) (* (* (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (cbrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (* (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (sqrt (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sqrt (sin th)) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sqrt (sin th)) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (* (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (sqrt (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (hypot (sin ky) (sin kx))) 1)))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin ky)))))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) 1))
  (* (sin th) (/ (* (cbrt 1) (cbrt 1)) (hypot (sin ky) (sin kx))))
  (* (sin th) (/ (sqrt 1) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (/ (sqrt 1) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)))
  (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ (sqrt (hypot (sin ky) (sin kx))) 1)))
  (* (sin th) (/ (sqrt 1) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ (sqrt 1) (/ 1 (sqrt (sin ky)))))
  (* (sin th) (/ (sqrt 1) (/ 1 1)))
  (* (sin th) (/ (sqrt 1) 1))
  (* (sin th) (/ (sqrt 1) (hypot (sin ky) (sin kx))))
  (* (sin th) (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))
  (* (sin th) (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))))
  (* (sin th) (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)))
  (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (* (sin th) (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)))
  (* (sin th) (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))))
  (* (sin th) (/ 1 (/ 1 (sqrt (sin ky)))))
  (* (sin th) (/ 1 (/ 1 1)))
  (* (sin th) (/ 1 1))
  (* (sin th) (/ 1 (hypot (sin ky) (sin kx))))
  (* (sin th) 1)
  (* (sin th) 1)
  (* (sin th) (/ 1 (hypot (sin ky) (sin kx))))
  (* (cbrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (sqrt (sin th)) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (sin th) 1)
  (real->posit16 (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))
  (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (cbrt (/ (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)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (hypot (sin ky) (sin kx)))
  (- (sin ky))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (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)))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)
  (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (sqrt (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))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) 1)
  (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ 1 1)
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) 1)
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (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)))
  (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (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)))
7.345 * * [simplify]: iteration 0: 280 enodes
7.513 * * [simplify]: iteration 1: 737 enodes
7.801 * * [simplify]: iteration 2: 2173 enodes
8.978 * * [simplify]: iteration complete: 5000 enodes
8.979 * * [simplify]: Extracting #0: cost 107 inf + 0
8.982 * * [simplify]: Extracting #1: cost 642 inf + 2
8.988 * * [simplify]: Extracting #2: cost 957 inf + 4080
9.001 * * [simplify]: Extracting #3: cost 658 inf + 82191
9.062 * * [simplify]: Extracting #4: cost 156 inf + 246781
9.150 * * [simplify]: Extracting #5: cost 10 inf + 299089
9.239 * * [simplify]: Extracting #6: cost 0 inf + 302281
9.313 * [simplify]: Simplified to:
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  -1
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (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)))))
  (* (/ (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))))
  -1
  (- (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (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))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (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))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (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))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (sin ky)
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (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))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (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))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (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))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (sin ky)
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (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))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (cbrt (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))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (/ (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))
  (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  1
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ 1 (hypot (sin kx) (sin ky)))
  (sin ky)
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (/ 1 (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky)))))
  (/ (/ 1 (cbrt (hypot (sin kx) (sin ky)))) (cbrt (hypot (sin kx) (sin ky))))
  (* (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (cbrt (sin ky)))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ 1 (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (sqrt (sin ky))
  1
  1
  (/ 1 (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ 1 (hypot (sin kx) (sin ky)))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (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) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (log (* (sin ky) (/ (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 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) (/ (sin th) (hypot (sin kx) (sin ky))))) (* (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) (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)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (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)))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin kx) (sin ky)) (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)))
  (* (* (sin th) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (sin th) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (/ (sin th) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sin th) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))))
  (* (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (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))) (cbrt (sin ky))) (cbrt (sin ky))))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sin th)))
  (* (sqrt (sin ky)) (sin th))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sin th) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))))
  (* (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (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))) (cbrt (sin ky))) (cbrt (sin ky))))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sin th)))
  (* (sqrt (sin ky)) (sin th))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (sin th) (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (* (sin th) (* (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky))))))
  (* (/ (sin th) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (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))) (cbrt (sin ky))) (cbrt (sin ky))))
  (/ (* (sqrt (sin ky)) (sin th)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin th) (sqrt (hypot (sin kx) (sin ky))))
  (* (cbrt (sin ky)) (* (cbrt (sin ky)) (sin th)))
  (* (sqrt (sin ky)) (sin th))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin kx) (sin ky)))
  (/ (cbrt (sin th)) (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (* (sqrt (sin th)) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky))))
  (sin th)
  (real->posit16 (* (sin ky) (/ (sin th) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log1p (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (log (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (exp (/ (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)) (sin ky)))
  (* (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))) (cbrt (/ (hypot (sin kx) (sin ky)) (sin ky))))
  (cbrt (/ (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)) (sin ky)))
  (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (sqrt (/ (hypot (sin kx) (sin ky)) (sin ky)))
  (- (hypot (sin kx) (sin ky)))
  (- (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)))
  (/ (cbrt (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))) (cbrt (hypot (sin kx) (sin ky))))
  (/ (cbrt (hypot (sin kx) (sin ky))) (sin ky))
  (/ (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (cbrt (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (sqrt (sin ky)))
  (sqrt (hypot (sin kx) (sin ky)))
  (/ (sqrt (hypot (sin kx) (sin ky))) (sin ky))
  (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  1
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (/ (hypot (sin kx) (sin ky)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky)))
  (hypot (sin kx) (sin ky))
  (/ (sin ky) (cbrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (sqrt (hypot (sin kx) (sin ky))))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (real->posit16 (/ (hypot (sin kx) (sin ky)) (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)))
  (* (fma (sin ky) (sin ky) (* (sin kx) (sin kx))) (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 (* ky (* ky ky))) -71/720 (* ky (* kx (+ 1/6 (* (* 7/360 kx) kx)))))
  (* (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))) (sin ky))
  (* (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))) (sin ky))
  (* (* ky th) (* kx 1/6))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (fma (sin ky) (sin ky) (* (sin kx) (sin kx))))))
  (fma (/ (* kx kx) (/ ky kx)) -1/6 (fma (* kx ky) 1/4 (/ kx ky)))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (/ (hypot (sin kx) (sin ky)) (sin ky))
  (fma -1/6 (* (* kx kx) kx) (fma (* 1/12 kx) (* ky ky) kx))
  (hypot (sin kx) (sin ky))
  (hypot (sin kx) (sin ky))
9.333 * * * [progress]: adding candidates to table
10.523 * * [progress]: iteration 3 / 4
10.523 * * * [progress]: picking best candidate
10.671 * * * * [pick]: Picked  #<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
10.671 * * * [progress]: localizing error
10.707 * * * [progress]: generating rewritten candidates
10.707 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
10.718 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
10.728 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
10.729 * * * [progress]: generating series expansions
10.730 * * * * [progress]: [ 1 / 3 ] generating series at (2)
10.730 * [backup-simplify]: Simplify (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) into (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx)))
10.730 * [approximate]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in (th ky kx) around 0
10.730 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in kx
10.730 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in kx
10.730 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.730 * [taylor]: Taking taylor expansion of ky in kx
10.730 * [backup-simplify]: Simplify ky into ky
10.730 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.730 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.730 * [taylor]: Taking taylor expansion of (sin th) in kx
10.730 * [taylor]: Taking taylor expansion of th in kx
10.730 * [backup-simplify]: Simplify th into th
10.730 * [backup-simplify]: Simplify (sin th) into (sin th)
10.730 * [backup-simplify]: Simplify (cos th) into (cos th)
10.730 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
10.730 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.730 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
10.730 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
10.730 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.730 * [taylor]: Taking taylor expansion of ky in kx
10.730 * [backup-simplify]: Simplify ky into ky
10.730 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.730 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.730 * [taylor]: Taking taylor expansion of (sin ky) in kx
10.730 * [taylor]: Taking taylor expansion of ky in kx
10.730 * [backup-simplify]: Simplify ky into ky
10.730 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.730 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.730 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
10.730 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.730 * [taylor]: Taking taylor expansion of kx in kx
10.730 * [backup-simplify]: Simplify 0 into 0
10.730 * [backup-simplify]: Simplify 1 into 1
10.730 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.730 * [taylor]: Taking taylor expansion of kx in kx
10.730 * [backup-simplify]: Simplify 0 into 0
10.730 * [backup-simplify]: Simplify 1 into 1
10.730 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.731 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.731 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.731 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.731 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.731 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.731 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.731 * [backup-simplify]: Simplify (* 0 0) into 0
10.731 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
10.731 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
10.732 * [backup-simplify]: Simplify (+ 0) into 0
10.732 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.733 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.733 * [backup-simplify]: Simplify (+ 0 0) into 0
10.733 * [backup-simplify]: Simplify (+ 0) into 0
10.734 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.735 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.735 * [backup-simplify]: Simplify (+ 0 0) into 0
10.736 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.738 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.738 * [backup-simplify]: Simplify (+ 0 0) into 0
10.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
10.738 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.738 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.739 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.739 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.739 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.739 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.739 * [backup-simplify]: Simplify (* (sin ky) (sin th)) into (* (sin th) (sin ky))
10.739 * [backup-simplify]: Simplify (/ (* (sin th) (sin ky)) (sin ky)) into (sin th)
10.739 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in ky
10.739 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in ky
10.739 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.739 * [taylor]: Taking taylor expansion of ky in ky
10.739 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 1 into 1
10.740 * [taylor]: Taking taylor expansion of (sin th) in ky
10.740 * [taylor]: Taking taylor expansion of th in ky
10.740 * [backup-simplify]: Simplify th into th
10.740 * [backup-simplify]: Simplify (sin th) into (sin th)
10.740 * [backup-simplify]: Simplify (cos th) into (cos th)
10.740 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
10.740 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.740 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
10.740 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
10.740 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.740 * [taylor]: Taking taylor expansion of ky in ky
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 1 into 1
10.740 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.740 * [taylor]: Taking taylor expansion of ky in ky
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 1 into 1
10.740 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
10.740 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.740 * [taylor]: Taking taylor expansion of kx in ky
10.740 * [backup-simplify]: Simplify kx into kx
10.740 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.740 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.740 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.740 * [taylor]: Taking taylor expansion of kx in ky
10.740 * [backup-simplify]: Simplify kx into kx
10.740 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.741 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.741 * [backup-simplify]: Simplify (* 0 0) into 0
10.741 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.741 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.741 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.741 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.741 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.741 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.742 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.742 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.742 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
10.742 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.744 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
10.744 * [backup-simplify]: Simplify (+ 0) into 0
10.745 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.746 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.746 * [backup-simplify]: Simplify (+ 0 0) into 0
10.747 * [backup-simplify]: Simplify (+ 0) into 0
10.747 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.748 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.749 * [backup-simplify]: Simplify (+ 0 0) into 0
10.749 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.749 * [backup-simplify]: Simplify (+ 0 0) into 0
10.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
10.750 * [backup-simplify]: Simplify (* (sin th) 1) into (sin th)
10.750 * [backup-simplify]: Simplify (* (cos th) 0) into 0
10.750 * [backup-simplify]: Simplify (+ (sin th) 0) into (sin th)
10.750 * [backup-simplify]: Simplify (* 0 (sin th)) into 0
10.750 * [backup-simplify]: Simplify (+ 0) into 0
10.751 * [backup-simplify]: Simplify (+ (* (sin th) 0) (* 0 1)) into 0
10.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.752 * [backup-simplify]: Simplify (+ (* (cos th) 0) (* 0 0)) into 0
10.752 * [backup-simplify]: Simplify (+ 0 0) into 0
10.753 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin th))) into (sin th)
10.753 * [backup-simplify]: Simplify (/ (sin th) (sin kx)) into (/ (sin th) (sin kx))
10.753 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in th
10.753 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in th
10.753 * [taylor]: Taking taylor expansion of (sin ky) in th
10.753 * [taylor]: Taking taylor expansion of ky in th
10.753 * [backup-simplify]: Simplify ky into ky
10.753 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.754 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.754 * [taylor]: Taking taylor expansion of (sin th) in th
10.754 * [taylor]: Taking taylor expansion of th in th
10.754 * [backup-simplify]: Simplify 0 into 0
10.754 * [backup-simplify]: Simplify 1 into 1
10.754 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
10.754 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.754 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
10.754 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
10.754 * [taylor]: Taking taylor expansion of (sin ky) in th
10.754 * [taylor]: Taking taylor expansion of ky in th
10.754 * [backup-simplify]: Simplify ky into ky
10.754 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.754 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.754 * [taylor]: Taking taylor expansion of (sin ky) in th
10.754 * [taylor]: Taking taylor expansion of ky in th
10.754 * [backup-simplify]: Simplify ky into ky
10.754 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.754 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.754 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
10.754 * [taylor]: Taking taylor expansion of (sin kx) in th
10.754 * [taylor]: Taking taylor expansion of kx in th
10.754 * [backup-simplify]: Simplify kx into kx
10.754 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.754 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.754 * [taylor]: Taking taylor expansion of (sin kx) in th
10.754 * [taylor]: Taking taylor expansion of kx in th
10.754 * [backup-simplify]: Simplify kx into kx
10.754 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.755 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.755 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.755 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.755 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.755 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.755 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.755 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.755 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.755 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.755 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.755 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.755 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.755 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.755 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.755 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.756 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
10.756 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
10.756 * [backup-simplify]: Simplify (+ 0) into 0
10.757 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.758 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.758 * [backup-simplify]: Simplify (+ 0 0) into 0
10.759 * [backup-simplify]: Simplify (+ 0) into 0
10.759 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.761 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.761 * [backup-simplify]: Simplify (+ 0 0) into 0
10.761 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.761 * [backup-simplify]: Simplify (+ 0) into 0
10.762 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.763 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.763 * [backup-simplify]: Simplify (+ 0 0) into 0
10.764 * [backup-simplify]: Simplify (+ 0) into 0
10.765 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.765 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.766 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.766 * [backup-simplify]: Simplify (+ 0 0) into 0
10.766 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.767 * [backup-simplify]: Simplify (+ 0 0) into 0
10.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
10.767 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.767 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.767 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.767 * [backup-simplify]: Simplify (* (sin ky) 0) into 0
10.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.768 * [backup-simplify]: Simplify (+ 0) into 0
10.769 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.770 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.770 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.770 * [backup-simplify]: Simplify (+ 0 0) into 0
10.771 * [backup-simplify]: Simplify (+ (* (sin ky) 1) (* 0 0)) into (sin ky)
10.771 * [backup-simplify]: Simplify (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
10.771 * [taylor]: Taking taylor expansion of (/ (* (sin ky) (sin th)) (hypot (sin ky) (sin kx))) in th
10.771 * [taylor]: Taking taylor expansion of (* (sin ky) (sin th)) in th
10.771 * [taylor]: Taking taylor expansion of (sin ky) in th
10.771 * [taylor]: Taking taylor expansion of ky in th
10.771 * [backup-simplify]: Simplify ky into ky
10.771 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.771 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.771 * [taylor]: Taking taylor expansion of (sin th) in th
10.771 * [taylor]: Taking taylor expansion of th in th
10.771 * [backup-simplify]: Simplify 0 into 0
10.771 * [backup-simplify]: Simplify 1 into 1
10.771 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in th
10.772 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
10.772 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in th
10.772 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
10.772 * [taylor]: Taking taylor expansion of (sin ky) in th
10.772 * [taylor]: Taking taylor expansion of ky in th
10.772 * [backup-simplify]: Simplify ky into ky
10.772 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.772 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.772 * [taylor]: Taking taylor expansion of (sin ky) in th
10.772 * [taylor]: Taking taylor expansion of ky in th
10.772 * [backup-simplify]: Simplify ky into ky
10.772 * [backup-simplify]: Simplify (sin ky) into (sin ky)
10.772 * [backup-simplify]: Simplify (cos ky) into (cos ky)
10.772 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
10.772 * [taylor]: Taking taylor expansion of (sin kx) in th
10.772 * [taylor]: Taking taylor expansion of kx in th
10.772 * [backup-simplify]: Simplify kx into kx
10.772 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.772 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.772 * [taylor]: Taking taylor expansion of (sin kx) in th
10.772 * [taylor]: Taking taylor expansion of kx in th
10.772 * [backup-simplify]: Simplify kx into kx
10.772 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.772 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.772 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.772 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.772 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.772 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.773 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.773 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.773 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
10.773 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.773 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.773 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.773 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.773 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.773 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.773 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.773 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) (pow (sin kx) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
10.773 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
10.774 * [backup-simplify]: Simplify (+ 0) into 0
10.774 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.776 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.776 * [backup-simplify]: Simplify (+ 0 0) into 0
10.776 * [backup-simplify]: Simplify (+ 0) into 0
10.777 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.778 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.778 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.779 * [backup-simplify]: Simplify (+ 0 0) into 0
10.779 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
10.779 * [backup-simplify]: Simplify (+ 0) into 0
10.780 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.781 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.782 * [backup-simplify]: Simplify (+ 0 0) into 0
10.782 * [backup-simplify]: Simplify (+ 0) into 0
10.783 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.784 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.784 * [backup-simplify]: Simplify (+ 0 0) into 0
10.784 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.785 * [backup-simplify]: Simplify (+ 0 0) into 0
10.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
10.785 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
10.785 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
10.785 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
10.785 * [backup-simplify]: Simplify (* (sin ky) 0) into 0
10.786 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.787 * [backup-simplify]: Simplify (+ 0) into 0
10.787 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
10.788 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.788 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
10.789 * [backup-simplify]: Simplify (+ 0 0) into 0
10.789 * [backup-simplify]: Simplify (+ (* (sin ky) 1) (* 0 0)) into (sin ky)
10.789 * [backup-simplify]: Simplify (/ (sin ky) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
10.789 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
10.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
10.790 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
10.790 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
10.790 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
10.790 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.790 * [taylor]: Taking taylor expansion of ky in ky
10.790 * [backup-simplify]: Simplify 0 into 0
10.790 * [backup-simplify]: Simplify 1 into 1
10.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.790 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
10.791 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.791 * [taylor]: Taking taylor expansion of kx in ky
10.791 * [backup-simplify]: Simplify kx into kx
10.791 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.791 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.791 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.791 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.791 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.791 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.791 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.791 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
10.791 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
10.792 * [backup-simplify]: Simplify (+ 0) into 0
10.792 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.793 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.793 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.794 * [backup-simplify]: Simplify (+ 0 0) into 0
10.794 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.794 * [backup-simplify]: Simplify (+ 0 0) into 0
10.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
10.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
10.795 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.795 * [taylor]: Taking taylor expansion of ky in ky
10.795 * [backup-simplify]: Simplify 0 into 0
10.795 * [backup-simplify]: Simplify 1 into 1
10.795 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.796 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
10.796 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.796 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.796 * [taylor]: Taking taylor expansion of kx in kx
10.796 * [backup-simplify]: Simplify 0 into 0
10.796 * [backup-simplify]: Simplify 1 into 1
10.797 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.797 * [backup-simplify]: Simplify (/ 1 1) into 1
10.798 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.799 * [backup-simplify]: Simplify 0 into 0
10.800 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.801 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.802 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.802 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.803 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.803 * [backup-simplify]: Simplify (+ 0 0) into 0
10.804 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 1) (* 0 0))) into 0
10.805 * [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
10.805 * [taylor]: Taking taylor expansion of 0 in ky
10.805 * [backup-simplify]: Simplify 0 into 0
10.805 * [taylor]: Taking taylor expansion of 0 in kx
10.805 * [backup-simplify]: Simplify 0 into 0
10.805 * [backup-simplify]: Simplify 0 into 0
10.806 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.806 * [backup-simplify]: Simplify (* 1 1) into 1
10.807 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.808 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.809 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.810 * [backup-simplify]: Simplify (+ 0 0) into 0
10.810 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
10.811 * [backup-simplify]: Simplify (+ 1 0) into 1
10.811 * [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)))
10.812 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow (sin kx) 4))) (pow 0 2) (+)) (* 2 (/ 1 (sin kx)))) into (/ -1/2 (pow (sin kx) 3))
10.813 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 0) (+ (* 0 1) (* (/ -1/2 (pow (sin kx) 3)) 0))) into 0
10.813 * [taylor]: Taking taylor expansion of 0 in kx
10.813 * [backup-simplify]: Simplify 0 into 0
10.813 * [backup-simplify]: Simplify 0 into 0
10.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
10.816 * [backup-simplify]: Simplify 1/6 into 1/6
10.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.818 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.819 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.821 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.821 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.822 * [backup-simplify]: Simplify (+ 0 0) into 0
10.823 * [backup-simplify]: Simplify (+ (* (sin ky) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin ky)))
10.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.824 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.826 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.826 * [backup-simplify]: Simplify (+ 0 0) into 0
10.827 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.828 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
10.828 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.829 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
10.829 * [backup-simplify]: Simplify (+ 0 0) into 0
10.830 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
10.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.831 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.832 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.833 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.833 * [backup-simplify]: Simplify (+ 0 0) into 0
10.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.835 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
10.836 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.837 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
10.837 * [backup-simplify]: Simplify (+ 0 0) into 0
10.838 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
10.838 * [backup-simplify]: Simplify (+ 0 0) into 0
10.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
10.840 * [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))))
10.840 * [taylor]: Taking taylor expansion of (- (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) in ky
10.840 * [taylor]: Taking taylor expansion of (* 1/6 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) in ky
10.840 * [taylor]: Taking taylor expansion of 1/6 in ky
10.840 * [backup-simplify]: Simplify 1/6 into 1/6
10.840 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
10.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
10.840 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
10.840 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
10.840 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
10.840 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.840 * [taylor]: Taking taylor expansion of ky in ky
10.840 * [backup-simplify]: Simplify 0 into 0
10.840 * [backup-simplify]: Simplify 1 into 1
10.841 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.841 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
10.841 * [taylor]: Taking taylor expansion of (sin kx) in ky
10.841 * [taylor]: Taking taylor expansion of kx in ky
10.841 * [backup-simplify]: Simplify kx into kx
10.841 * [backup-simplify]: Simplify (sin kx) into (sin kx)
10.841 * [backup-simplify]: Simplify (cos kx) into (cos kx)
10.841 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
10.841 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
10.842 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
10.842 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
10.842 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
10.842 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
10.842 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
10.842 * [backup-simplify]: Simplify (+ 0) into 0
10.843 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
10.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.844 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
10.844 * [backup-simplify]: Simplify (+ 0 0) into 0
10.845 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
10.845 * [backup-simplify]: Simplify (+ 0 0) into 0
10.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
10.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
10.845 * [taylor]: Taking taylor expansion of (sin ky) in ky
10.845 * [taylor]: Taking taylor expansion of ky in ky
10.845 * [backup-simplify]: Simplify 0 into 0
10.846 * [backup-simplify]: Simplify 1 into 1
10.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.847 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
10.847 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
10.847 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (sin kx))) (* 0 0)) into (* 1/6 (/ 1 (sin kx)))
10.847 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (sin kx)))) into (- (* 1/6 (/ 1 (sin kx))))
10.847 * [taylor]: Taking taylor expansion of (- (* 1/6 (/ 1 (sin kx)))) in kx
10.847 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
10.847 * [taylor]: Taking taylor expansion of 1/6 in kx
10.847 * [backup-simplify]: Simplify 1/6 into 1/6
10.848 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.848 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.848 * [taylor]: Taking taylor expansion of kx in kx
10.848 * [backup-simplify]: Simplify 0 into 0
10.848 * [backup-simplify]: Simplify 1 into 1
10.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.849 * [backup-simplify]: Simplify (/ 1 1) into 1
10.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.851 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
10.851 * [backup-simplify]: Simplify (- 0) into 0
10.852 * [backup-simplify]: Simplify 0 into 0
10.852 * [taylor]: Taking taylor expansion of 0 in kx
10.852 * [backup-simplify]: Simplify 0 into 0
10.852 * [backup-simplify]: Simplify 0 into 0
10.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.856 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
10.857 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
10.859 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
10.860 * [backup-simplify]: Simplify (+ 0 0) into 0
10.861 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
10.861 * [backup-simplify]: Simplify (+ 0 0) into 0
10.862 * [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
10.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow (sin kx) 3)))))) (* 2 (/ 1 (sin kx)))) into 0
10.863 * [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)))))
10.863 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
10.863 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
10.863 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
10.863 * [taylor]: Taking taylor expansion of 1/6 in kx
10.863 * [backup-simplify]: Simplify 1/6 into 1/6
10.863 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
10.863 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.863 * [taylor]: Taking taylor expansion of kx in kx
10.863 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify 1 into 1
10.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.864 * [backup-simplify]: Simplify (/ 1 1) into 1
10.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
10.864 * [taylor]: Taking taylor expansion of 1/2 in kx
10.865 * [backup-simplify]: Simplify 1/2 into 1/2
10.865 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
10.865 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
10.865 * [taylor]: Taking taylor expansion of (sin kx) in kx
10.865 * [taylor]: Taking taylor expansion of kx in kx
10.865 * [backup-simplify]: Simplify 0 into 0
10.865 * [backup-simplify]: Simplify 1 into 1
10.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
10.866 * [backup-simplify]: Simplify (* 1 1) into 1
10.866 * [backup-simplify]: Simplify (* 1 1) into 1
10.866 * [backup-simplify]: Simplify (/ 1 1) into 1
10.867 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.875 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
10.876 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
10.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
10.881 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
10.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
10.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.886 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
10.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
10.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
10.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
10.890 * [backup-simplify]: Simplify (+ 0 0) into 0
10.891 * [backup-simplify]: Simplify (- 0) into 0
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
10.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify (* 1/6 (* kx (* ky th))) into (* 1/6 (* kx (* ky th)))
10.894 * [backup-simplify]: Simplify (/ (sin (/ 1 th)) (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))) into (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx))))
10.894 * [approximate]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in (th ky kx) around 0
10.894 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in kx
10.895 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
10.895 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
10.895 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
10.895 * [taylor]: Taking taylor expansion of th in kx
10.895 * [backup-simplify]: Simplify th into th
10.895 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.895 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.895 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.895 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.895 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.895 * [taylor]: Taking taylor expansion of ky in kx
10.895 * [backup-simplify]: Simplify ky into ky
10.895 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.895 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.895 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.895 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
10.895 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.895 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
10.895 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
10.895 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.895 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.895 * [taylor]: Taking taylor expansion of ky in kx
10.895 * [backup-simplify]: Simplify ky into ky
10.895 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.896 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.896 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.896 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.896 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.896 * [taylor]: Taking taylor expansion of ky in kx
10.896 * [backup-simplify]: Simplify ky into ky
10.896 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.896 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.896 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.896 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
10.896 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.896 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.896 * [taylor]: Taking taylor expansion of kx in kx
10.896 * [backup-simplify]: Simplify 0 into 0
10.896 * [backup-simplify]: Simplify 1 into 1
10.897 * [backup-simplify]: Simplify (/ 1 1) into 1
10.897 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.897 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.897 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.897 * [taylor]: Taking taylor expansion of kx in kx
10.897 * [backup-simplify]: Simplify 0 into 0
10.897 * [backup-simplify]: Simplify 1 into 1
10.897 * [backup-simplify]: Simplify (/ 1 1) into 1
10.897 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.897 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.897 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.898 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.898 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.898 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.898 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.898 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.898 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.898 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.898 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.899 * [backup-simplify]: Simplify (+ 0) into 0
10.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.900 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.901 * [backup-simplify]: Simplify (+ 0 0) into 0
10.901 * [backup-simplify]: Simplify (+ 0) into 0
10.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.904 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.904 * [backup-simplify]: Simplify (+ 0 0) into 0
10.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.905 * [backup-simplify]: Simplify (+ 0 0) into 0
10.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.905 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.905 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.905 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.905 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.905 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.905 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.906 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.906 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.906 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in ky
10.906 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.906 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.906 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.906 * [taylor]: Taking taylor expansion of th in ky
10.906 * [backup-simplify]: Simplify th into th
10.906 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.906 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.906 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.906 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.906 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.906 * [taylor]: Taking taylor expansion of ky in ky
10.906 * [backup-simplify]: Simplify 0 into 0
10.906 * [backup-simplify]: Simplify 1 into 1
10.907 * [backup-simplify]: Simplify (/ 1 1) into 1
10.907 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.907 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
10.907 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.907 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
10.907 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
10.907 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.907 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.907 * [taylor]: Taking taylor expansion of ky in ky
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 1 into 1
10.908 * [backup-simplify]: Simplify (/ 1 1) into 1
10.908 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.908 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.908 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.908 * [taylor]: Taking taylor expansion of ky in ky
10.908 * [backup-simplify]: Simplify 0 into 0
10.908 * [backup-simplify]: Simplify 1 into 1
10.908 * [backup-simplify]: Simplify (/ 1 1) into 1
10.908 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.908 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
10.908 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.908 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.908 * [taylor]: Taking taylor expansion of kx in ky
10.908 * [backup-simplify]: Simplify kx into kx
10.909 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.909 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.909 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.909 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.909 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.909 * [taylor]: Taking taylor expansion of kx in ky
10.909 * [backup-simplify]: Simplify kx into kx
10.909 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.909 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.909 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.909 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.909 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.909 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.909 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.909 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.910 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.910 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.910 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.910 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.911 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.911 * [backup-simplify]: Simplify (+ 0) into 0
10.912 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.913 * [backup-simplify]: Simplify (+ 0 0) into 0
10.914 * [backup-simplify]: Simplify (+ 0) into 0
10.914 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.916 * [backup-simplify]: Simplify (+ 0 0) into 0
10.916 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.917 * [backup-simplify]: Simplify (+ 0 0) into 0
10.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.917 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.917 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.917 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.917 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.918 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.918 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
10.918 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
10.918 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
10.918 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.918 * [taylor]: Taking taylor expansion of th in th
10.918 * [backup-simplify]: Simplify 0 into 0
10.918 * [backup-simplify]: Simplify 1 into 1
10.918 * [backup-simplify]: Simplify (/ 1 1) into 1
10.918 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.918 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.918 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.918 * [taylor]: Taking taylor expansion of ky in th
10.918 * [backup-simplify]: Simplify ky into ky
10.919 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.919 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.919 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.919 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
10.919 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.919 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
10.919 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
10.919 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.919 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.919 * [taylor]: Taking taylor expansion of ky in th
10.919 * [backup-simplify]: Simplify ky into ky
10.919 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.919 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.919 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.919 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.919 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.919 * [taylor]: Taking taylor expansion of ky in th
10.919 * [backup-simplify]: Simplify ky into ky
10.919 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.919 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.919 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.919 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
10.919 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.920 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.920 * [taylor]: Taking taylor expansion of kx in th
10.920 * [backup-simplify]: Simplify kx into kx
10.920 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.920 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.920 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.920 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.920 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.920 * [taylor]: Taking taylor expansion of kx in th
10.920 * [backup-simplify]: Simplify kx into kx
10.920 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.920 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.920 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.920 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.920 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.920 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.920 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.920 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.921 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.921 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.921 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.921 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.921 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.921 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.921 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.921 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.921 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.922 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.922 * [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)))
10.922 * [backup-simplify]: Simplify (+ 0) into 0
10.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.924 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.925 * [backup-simplify]: Simplify (+ 0 0) into 0
10.925 * [backup-simplify]: Simplify (+ 0) into 0
10.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.927 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.927 * [backup-simplify]: Simplify (+ 0 0) into 0
10.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.928 * [backup-simplify]: Simplify (+ 0) into 0
10.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.930 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.930 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.931 * [backup-simplify]: Simplify (+ 0 0) into 0
10.931 * [backup-simplify]: Simplify (+ 0) into 0
10.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.933 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.933 * [backup-simplify]: Simplify (+ 0 0) into 0
10.933 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.934 * [backup-simplify]: Simplify (+ 0 0) into 0
10.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.934 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.934 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.934 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.935 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.935 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.935 * [taylor]: Taking taylor expansion of (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))) in th
10.935 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in th
10.935 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
10.935 * [taylor]: Taking taylor expansion of (/ 1 th) in th
10.935 * [taylor]: Taking taylor expansion of th in th
10.935 * [backup-simplify]: Simplify 0 into 0
10.935 * [backup-simplify]: Simplify 1 into 1
10.935 * [backup-simplify]: Simplify (/ 1 1) into 1
10.936 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.936 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.936 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.936 * [taylor]: Taking taylor expansion of ky in th
10.936 * [backup-simplify]: Simplify ky into ky
10.936 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.936 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.936 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.936 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in th
10.936 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
10.936 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in th
10.936 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
10.936 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.936 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.936 * [taylor]: Taking taylor expansion of ky in th
10.936 * [backup-simplify]: Simplify ky into ky
10.936 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.936 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.936 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.936 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
10.936 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
10.936 * [taylor]: Taking taylor expansion of ky in th
10.936 * [backup-simplify]: Simplify ky into ky
10.936 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.937 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.937 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.937 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
10.937 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.937 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.937 * [taylor]: Taking taylor expansion of kx in th
10.937 * [backup-simplify]: Simplify kx into kx
10.937 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.937 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.937 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.937 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
10.937 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
10.937 * [taylor]: Taking taylor expansion of kx in th
10.937 * [backup-simplify]: Simplify kx into kx
10.937 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.937 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.937 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.937 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.937 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.938 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.938 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.938 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.938 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.938 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.938 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.938 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.938 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.938 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.938 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.938 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.939 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.939 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.939 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.940 * [backup-simplify]: Simplify (+ 0) into 0
10.940 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.941 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.942 * [backup-simplify]: Simplify (+ 0 0) into 0
10.942 * [backup-simplify]: Simplify (+ 0) into 0
10.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.944 * [backup-simplify]: Simplify (+ 0 0) into 0
10.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.945 * [backup-simplify]: Simplify (+ 0) into 0
10.946 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.947 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.947 * [backup-simplify]: Simplify (+ 0 0) into 0
10.948 * [backup-simplify]: Simplify (+ 0) into 0
10.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.950 * [backup-simplify]: Simplify (+ 0 0) into 0
10.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.951 * [backup-simplify]: Simplify (+ 0 0) into 0
10.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
10.951 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.951 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.951 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.951 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.952 * [backup-simplify]: Simplify (/ (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.952 * [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
10.952 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
10.952 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
10.952 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
10.952 * [taylor]: Taking taylor expansion of th in ky
10.952 * [backup-simplify]: Simplify th into th
10.952 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.952 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.952 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.952 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.952 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.952 * [taylor]: Taking taylor expansion of ky in ky
10.952 * [backup-simplify]: Simplify 0 into 0
10.952 * [backup-simplify]: Simplify 1 into 1
10.953 * [backup-simplify]: Simplify (/ 1 1) into 1
10.953 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
10.953 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
10.953 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
10.953 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
10.953 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
10.953 * [taylor]: Taking taylor expansion of kx in ky
10.953 * [backup-simplify]: Simplify kx into kx
10.953 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
10.953 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.953 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
10.953 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
10.953 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
10.954 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
10.954 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
10.954 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
10.954 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
10.954 * [taylor]: Taking taylor expansion of ky in ky
10.954 * [backup-simplify]: Simplify 0 into 0
10.954 * [backup-simplify]: Simplify 1 into 1
10.954 * [backup-simplify]: Simplify (/ 1 1) into 1
10.954 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.954 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.955 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.955 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.955 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.955 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
10.956 * [backup-simplify]: Simplify (+ 0) into 0
10.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
10.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
10.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
10.958 * [backup-simplify]: Simplify (+ 0 0) into 0
10.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.959 * [backup-simplify]: Simplify (+ 0 0) into 0
10.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.959 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.960 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.960 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.960 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.960 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.960 * [taylor]: Taking taylor expansion of (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx
10.960 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
10.960 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
10.960 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
10.960 * [taylor]: Taking taylor expansion of th in kx
10.960 * [backup-simplify]: Simplify th into th
10.960 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
10.960 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
10.960 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
10.961 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.961 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.961 * [taylor]: Taking taylor expansion of ky in kx
10.961 * [backup-simplify]: Simplify ky into ky
10.961 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.961 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.961 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
10.961 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
10.961 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
10.961 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
10.961 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
10.961 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
10.961 * [taylor]: Taking taylor expansion of kx in kx
10.961 * [backup-simplify]: Simplify 0 into 0
10.961 * [backup-simplify]: Simplify 1 into 1
10.962 * [backup-simplify]: Simplify (/ 1 1) into 1
10.962 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
10.962 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
10.962 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
10.962 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
10.962 * [taylor]: Taking taylor expansion of ky in kx
10.962 * [backup-simplify]: Simplify ky into ky
10.962 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
10.962 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
10.962 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
10.962 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.962 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.962 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.963 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
10.963 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
10.963 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
10.963 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
10.963 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))
10.964 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
10.964 * [backup-simplify]: Simplify (+ 0) into 0
10.965 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.966 * [backup-simplify]: Simplify (+ 0 0) into 0
10.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.967 * [backup-simplify]: Simplify (+ 0 0) into 0
10.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.968 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
10.968 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
10.968 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
10.968 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
10.968 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
10.968 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
10.968 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
10.969 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.969 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
10.970 * [backup-simplify]: Simplify (+ 0) into 0
10.970 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.972 * [backup-simplify]: Simplify (+ 0 0) into 0
10.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.973 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
10.973 * [taylor]: Taking taylor expansion of 0 in ky
10.973 * [backup-simplify]: Simplify 0 into 0
10.973 * [taylor]: Taking taylor expansion of 0 in kx
10.973 * [backup-simplify]: Simplify 0 into 0
10.973 * [backup-simplify]: Simplify 0 into 0
10.973 * [backup-simplify]: Simplify (+ 0) into 0
10.974 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.976 * [backup-simplify]: Simplify (+ 0 0) into 0
10.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.976 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.976 * [taylor]: Taking taylor expansion of 0 in kx
10.976 * [backup-simplify]: Simplify 0 into 0
10.976 * [backup-simplify]: Simplify 0 into 0
10.977 * [backup-simplify]: Simplify (+ 0) into 0
10.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
10.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
10.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.979 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
10.979 * [backup-simplify]: Simplify (+ 0 0) into 0
10.980 * [backup-simplify]: Simplify (+ 0) into 0
10.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
10.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
10.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
10.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
10.982 * [backup-simplify]: Simplify (+ 0 0) into 0
10.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
10.982 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
10.983 * [backup-simplify]: Simplify 0 into 0
10.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.986 * [backup-simplify]: Simplify (+ 0 0) into 0
10.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.988 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.989 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.990 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.990 * [backup-simplify]: Simplify (+ 0 0) into 0
10.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.992 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
10.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
10.993 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
10.994 * [backup-simplify]: Simplify (+ 0 0) into 0
10.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
10.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.996 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
10.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
10.997 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
10.997 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
10.998 * [backup-simplify]: Simplify (+ 0 0) into 0
10.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
10.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.001 * [backup-simplify]: Simplify (+ 0 0) into 0
11.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.002 * [backup-simplify]: Simplify (+ 0 0) into 0
11.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.004 * [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))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
11.004 * [taylor]: Taking taylor expansion of 0 in ky
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [taylor]: Taking taylor expansion of 0 in kx
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [taylor]: Taking taylor expansion of 0 in kx
11.004 * [backup-simplify]: Simplify 0 into 0
11.004 * [backup-simplify]: Simplify 0 into 0
11.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.006 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.007 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.008 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.008 * [backup-simplify]: Simplify (+ 0 0) into 0
11.009 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.009 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.010 * [backup-simplify]: Simplify (+ 0 0) into 0
11.011 * [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
11.012 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
11.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.014 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.015 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.015 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.016 * [backup-simplify]: Simplify (+ 0 0) into 0
11.016 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.017 * [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
11.017 * [taylor]: Taking taylor expansion of 0 in kx
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 0 into 0
11.018 * [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)))
11.018 * [backup-simplify]: Simplify (/ (sin (/ 1 (- th))) (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky))))) into (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx))))
11.018 * [approximate]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in (th ky kx) around 0
11.018 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in kx
11.018 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
11.018 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.018 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.018 * [taylor]: Taking taylor expansion of -1 in kx
11.018 * [backup-simplify]: Simplify -1 into -1
11.018 * [taylor]: Taking taylor expansion of th in kx
11.018 * [backup-simplify]: Simplify th into th
11.018 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.018 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.018 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.018 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.018 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.018 * [taylor]: Taking taylor expansion of -1 in kx
11.019 * [backup-simplify]: Simplify -1 into -1
11.019 * [taylor]: Taking taylor expansion of ky in kx
11.019 * [backup-simplify]: Simplify ky into ky
11.019 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.019 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.019 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.019 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.019 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.019 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.019 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.019 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.019 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.019 * [taylor]: Taking taylor expansion of -1 in kx
11.019 * [backup-simplify]: Simplify -1 into -1
11.019 * [taylor]: Taking taylor expansion of ky in kx
11.019 * [backup-simplify]: Simplify ky into ky
11.019 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.019 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.019 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.019 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.019 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.019 * [taylor]: Taking taylor expansion of -1 in kx
11.019 * [backup-simplify]: Simplify -1 into -1
11.019 * [taylor]: Taking taylor expansion of ky in kx
11.019 * [backup-simplify]: Simplify ky into ky
11.019 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.020 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.020 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.020 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.020 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.020 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.020 * [taylor]: Taking taylor expansion of -1 in kx
11.020 * [backup-simplify]: Simplify -1 into -1
11.020 * [taylor]: Taking taylor expansion of kx in kx
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify 1 into 1
11.020 * [backup-simplify]: Simplify (/ -1 1) into -1
11.021 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.021 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.021 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.021 * [taylor]: Taking taylor expansion of -1 in kx
11.021 * [backup-simplify]: Simplify -1 into -1
11.021 * [taylor]: Taking taylor expansion of kx in kx
11.021 * [backup-simplify]: Simplify 0 into 0
11.021 * [backup-simplify]: Simplify 1 into 1
11.021 * [backup-simplify]: Simplify (/ -1 1) into -1
11.021 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.021 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.021 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.021 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.022 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.022 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.022 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.022 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.022 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.022 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.023 * [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)))
11.023 * [backup-simplify]: Simplify (+ 0) into 0
11.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.024 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.025 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.026 * [backup-simplify]: Simplify (+ 0 0) into 0
11.026 * [backup-simplify]: Simplify (+ 0) into 0
11.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.027 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.028 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.028 * [backup-simplify]: Simplify (+ 0 0) into 0
11.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.029 * [backup-simplify]: Simplify (+ 0 0) into 0
11.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.029 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.030 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.030 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.030 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.030 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.030 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.030 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.030 * [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)))))
11.030 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in ky
11.030 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
11.030 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.031 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.031 * [taylor]: Taking taylor expansion of -1 in ky
11.031 * [backup-simplify]: Simplify -1 into -1
11.031 * [taylor]: Taking taylor expansion of th in ky
11.031 * [backup-simplify]: Simplify th into th
11.031 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.031 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.031 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.031 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.031 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.031 * [taylor]: Taking taylor expansion of -1 in ky
11.031 * [backup-simplify]: Simplify -1 into -1
11.031 * [taylor]: Taking taylor expansion of ky in ky
11.031 * [backup-simplify]: Simplify 0 into 0
11.031 * [backup-simplify]: Simplify 1 into 1
11.036 * [backup-simplify]: Simplify (/ -1 1) into -1
11.036 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.036 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.036 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.036 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.036 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.036 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.036 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.036 * [taylor]: Taking taylor expansion of -1 in ky
11.036 * [backup-simplify]: Simplify -1 into -1
11.036 * [taylor]: Taking taylor expansion of ky in ky
11.036 * [backup-simplify]: Simplify 0 into 0
11.036 * [backup-simplify]: Simplify 1 into 1
11.037 * [backup-simplify]: Simplify (/ -1 1) into -1
11.037 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.037 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.037 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.037 * [taylor]: Taking taylor expansion of -1 in ky
11.037 * [backup-simplify]: Simplify -1 into -1
11.037 * [taylor]: Taking taylor expansion of ky in ky
11.037 * [backup-simplify]: Simplify 0 into 0
11.037 * [backup-simplify]: Simplify 1 into 1
11.038 * [backup-simplify]: Simplify (/ -1 1) into -1
11.038 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.038 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.038 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.038 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.038 * [taylor]: Taking taylor expansion of -1 in ky
11.038 * [backup-simplify]: Simplify -1 into -1
11.038 * [taylor]: Taking taylor expansion of kx in ky
11.038 * [backup-simplify]: Simplify kx into kx
11.038 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.038 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.038 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.038 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.038 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.038 * [taylor]: Taking taylor expansion of -1 in ky
11.038 * [backup-simplify]: Simplify -1 into -1
11.038 * [taylor]: Taking taylor expansion of kx in ky
11.038 * [backup-simplify]: Simplify kx into kx
11.038 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.039 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.039 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.039 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.039 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.039 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.039 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.039 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.039 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.039 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.039 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.040 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.040 * [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)))
11.040 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.041 * [backup-simplify]: Simplify (+ 0) into 0
11.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.041 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.042 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.043 * [backup-simplify]: Simplify (+ 0 0) into 0
11.043 * [backup-simplify]: Simplify (+ 0) into 0
11.044 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.044 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.046 * [backup-simplify]: Simplify (+ 0 0) into 0
11.046 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.046 * [backup-simplify]: Simplify (+ 0 0) into 0
11.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.046 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.047 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.047 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.047 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.047 * [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)))))
11.047 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
11.047 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
11.047 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.047 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.047 * [taylor]: Taking taylor expansion of -1 in th
11.047 * [backup-simplify]: Simplify -1 into -1
11.047 * [taylor]: Taking taylor expansion of th in th
11.047 * [backup-simplify]: Simplify 0 into 0
11.047 * [backup-simplify]: Simplify 1 into 1
11.048 * [backup-simplify]: Simplify (/ -1 1) into -1
11.048 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.048 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.048 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.048 * [taylor]: Taking taylor expansion of -1 in th
11.048 * [backup-simplify]: Simplify -1 into -1
11.048 * [taylor]: Taking taylor expansion of ky in th
11.048 * [backup-simplify]: Simplify ky into ky
11.048 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.048 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.048 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.048 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
11.048 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.049 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
11.049 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.049 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.049 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.049 * [taylor]: Taking taylor expansion of -1 in th
11.049 * [backup-simplify]: Simplify -1 into -1
11.049 * [taylor]: Taking taylor expansion of ky in th
11.049 * [backup-simplify]: Simplify ky into ky
11.049 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.049 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.049 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.049 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.049 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.049 * [taylor]: Taking taylor expansion of -1 in th
11.049 * [backup-simplify]: Simplify -1 into -1
11.049 * [taylor]: Taking taylor expansion of ky in th
11.049 * [backup-simplify]: Simplify ky into ky
11.049 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.049 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.050 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.050 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.050 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.050 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.050 * [taylor]: Taking taylor expansion of -1 in th
11.050 * [backup-simplify]: Simplify -1 into -1
11.050 * [taylor]: Taking taylor expansion of kx in th
11.050 * [backup-simplify]: Simplify kx into kx
11.050 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.050 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.050 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.050 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.050 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.050 * [taylor]: Taking taylor expansion of -1 in th
11.050 * [backup-simplify]: Simplify -1 into -1
11.050 * [taylor]: Taking taylor expansion of kx in th
11.050 * [backup-simplify]: Simplify kx into kx
11.050 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.050 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.050 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.050 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.050 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.051 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.051 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.051 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.051 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.051 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.051 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.051 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.051 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.051 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.051 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.051 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.052 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.052 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.052 * [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)))
11.053 * [backup-simplify]: Simplify (+ 0) into 0
11.053 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.053 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.054 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.055 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.055 * [backup-simplify]: Simplify (+ 0 0) into 0
11.056 * [backup-simplify]: Simplify (+ 0) into 0
11.056 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.056 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.057 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.058 * [backup-simplify]: Simplify (+ 0 0) into 0
11.058 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.058 * [backup-simplify]: Simplify (+ 0) into 0
11.059 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.059 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.060 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.060 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.061 * [backup-simplify]: Simplify (+ 0 0) into 0
11.061 * [backup-simplify]: Simplify (+ 0) into 0
11.062 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.062 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.062 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.063 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.063 * [backup-simplify]: Simplify (+ 0 0) into 0
11.063 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.064 * [backup-simplify]: Simplify (+ 0 0) into 0
11.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.064 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.064 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.064 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.065 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.065 * [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)))))
11.065 * [taylor]: Taking taylor expansion of (/ (* (sin (/ -1 th)) (sin (/ -1 ky))) (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))) in th
11.065 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in th
11.065 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
11.065 * [taylor]: Taking taylor expansion of (/ -1 th) in th
11.065 * [taylor]: Taking taylor expansion of -1 in th
11.065 * [backup-simplify]: Simplify -1 into -1
11.065 * [taylor]: Taking taylor expansion of th in th
11.065 * [backup-simplify]: Simplify 0 into 0
11.065 * [backup-simplify]: Simplify 1 into 1
11.066 * [backup-simplify]: Simplify (/ -1 1) into -1
11.066 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.066 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.066 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.066 * [taylor]: Taking taylor expansion of -1 in th
11.066 * [backup-simplify]: Simplify -1 into -1
11.066 * [taylor]: Taking taylor expansion of ky in th
11.066 * [backup-simplify]: Simplify ky into ky
11.066 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.066 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.066 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.066 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in th
11.066 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.066 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in th
11.066 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
11.066 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.066 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.066 * [taylor]: Taking taylor expansion of -1 in th
11.066 * [backup-simplify]: Simplify -1 into -1
11.066 * [taylor]: Taking taylor expansion of ky in th
11.066 * [backup-simplify]: Simplify ky into ky
11.066 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.066 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.067 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.067 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
11.067 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
11.067 * [taylor]: Taking taylor expansion of -1 in th
11.067 * [backup-simplify]: Simplify -1 into -1
11.067 * [taylor]: Taking taylor expansion of ky in th
11.067 * [backup-simplify]: Simplify ky into ky
11.067 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.067 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.067 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.067 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
11.067 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.067 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.067 * [taylor]: Taking taylor expansion of -1 in th
11.067 * [backup-simplify]: Simplify -1 into -1
11.067 * [taylor]: Taking taylor expansion of kx in th
11.067 * [backup-simplify]: Simplify kx into kx
11.067 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.067 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.067 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.067 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
11.067 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
11.067 * [taylor]: Taking taylor expansion of -1 in th
11.067 * [backup-simplify]: Simplify -1 into -1
11.067 * [taylor]: Taking taylor expansion of kx in th
11.067 * [backup-simplify]: Simplify kx into kx
11.067 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.068 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.068 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.068 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.068 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.068 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.068 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.068 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.068 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.068 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.068 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.068 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.069 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.069 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.069 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.069 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.069 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.069 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.069 * [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)))
11.070 * [backup-simplify]: Simplify (+ 0) into 0
11.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.071 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.073 * [backup-simplify]: Simplify (+ 0 0) into 0
11.073 * [backup-simplify]: Simplify (+ 0) into 0
11.074 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.074 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.075 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.075 * [backup-simplify]: Simplify (+ 0 0) into 0
11.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.076 * [backup-simplify]: Simplify (+ 0) into 0
11.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.076 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.077 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.078 * [backup-simplify]: Simplify (+ 0 0) into 0
11.078 * [backup-simplify]: Simplify (+ 0) into 0
11.079 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.079 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.080 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.081 * [backup-simplify]: Simplify (+ 0 0) into 0
11.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.081 * [backup-simplify]: Simplify (+ 0 0) into 0
11.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.082 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.082 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.082 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.082 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.082 * [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)))))
11.082 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
11.082 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
11.082 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
11.083 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
11.083 * [taylor]: Taking taylor expansion of -1 in ky
11.083 * [backup-simplify]: Simplify -1 into -1
11.083 * [taylor]: Taking taylor expansion of th in ky
11.083 * [backup-simplify]: Simplify th into th
11.083 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.083 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.083 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.083 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.083 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.083 * [taylor]: Taking taylor expansion of -1 in ky
11.083 * [backup-simplify]: Simplify -1 into -1
11.083 * [taylor]: Taking taylor expansion of ky in ky
11.083 * [backup-simplify]: Simplify 0 into 0
11.083 * [backup-simplify]: Simplify 1 into 1
11.083 * [backup-simplify]: Simplify (/ -1 1) into -1
11.084 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
11.084 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
11.084 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
11.084 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
11.084 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.084 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.084 * [taylor]: Taking taylor expansion of -1 in ky
11.084 * [backup-simplify]: Simplify -1 into -1
11.084 * [taylor]: Taking taylor expansion of kx in ky
11.084 * [backup-simplify]: Simplify kx into kx
11.084 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.084 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.084 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.084 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.084 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.084 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.084 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
11.084 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.084 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.084 * [taylor]: Taking taylor expansion of -1 in ky
11.084 * [backup-simplify]: Simplify -1 into -1
11.084 * [taylor]: Taking taylor expansion of ky in ky
11.085 * [backup-simplify]: Simplify 0 into 0
11.085 * [backup-simplify]: Simplify 1 into 1
11.085 * [backup-simplify]: Simplify (/ -1 1) into -1
11.085 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.085 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.085 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.086 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.086 * [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)))
11.086 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
11.086 * [backup-simplify]: Simplify (+ 0) into 0
11.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.087 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.088 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.089 * [backup-simplify]: Simplify (+ 0 0) into 0
11.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.089 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.089 * [backup-simplify]: Simplify (+ 0 0) into 0
11.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.090 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.090 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.090 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.091 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.091 * [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)))))
11.091 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx
11.091 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
11.091 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
11.091 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
11.091 * [taylor]: Taking taylor expansion of -1 in kx
11.091 * [backup-simplify]: Simplify -1 into -1
11.091 * [taylor]: Taking taylor expansion of th in kx
11.091 * [backup-simplify]: Simplify th into th
11.091 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
11.091 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
11.091 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
11.091 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.091 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.091 * [taylor]: Taking taylor expansion of -1 in kx
11.091 * [backup-simplify]: Simplify -1 into -1
11.091 * [taylor]: Taking taylor expansion of ky in kx
11.091 * [backup-simplify]: Simplify ky into ky
11.092 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.092 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.092 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
11.092 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.092 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.092 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.092 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.092 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.092 * [taylor]: Taking taylor expansion of -1 in kx
11.092 * [backup-simplify]: Simplify -1 into -1
11.092 * [taylor]: Taking taylor expansion of kx in kx
11.092 * [backup-simplify]: Simplify 0 into 0
11.092 * [backup-simplify]: Simplify 1 into 1
11.093 * [backup-simplify]: Simplify (/ -1 1) into -1
11.093 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.093 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.093 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.093 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.093 * [taylor]: Taking taylor expansion of -1 in kx
11.093 * [backup-simplify]: Simplify -1 into -1
11.093 * [taylor]: Taking taylor expansion of ky in kx
11.093 * [backup-simplify]: Simplify ky into ky
11.093 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.093 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.093 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.093 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.093 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.093 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.093 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.094 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.094 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.094 * [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)))
11.094 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))
11.094 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.095 * [backup-simplify]: Simplify (+ 0) into 0
11.095 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.096 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.097 * [backup-simplify]: Simplify (+ 0 0) into 0
11.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.098 * [backup-simplify]: Simplify (+ 0 0) into 0
11.098 * [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
11.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.099 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
11.099 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
11.099 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
11.099 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.099 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.099 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.099 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
11.099 * [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)))))
11.100 * [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)))))
11.100 * [backup-simplify]: Simplify (+ 0) into 0
11.101 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.101 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.103 * [backup-simplify]: Simplify (+ 0 0) into 0
11.103 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.104 * [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
11.104 * [taylor]: Taking taylor expansion of 0 in ky
11.104 * [backup-simplify]: Simplify 0 into 0
11.104 * [taylor]: Taking taylor expansion of 0 in kx
11.104 * [backup-simplify]: Simplify 0 into 0
11.104 * [backup-simplify]: Simplify 0 into 0
11.104 * [backup-simplify]: Simplify (+ 0) into 0
11.105 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.105 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.106 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.107 * [backup-simplify]: Simplify (+ 0 0) into 0
11.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.107 * [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
11.107 * [taylor]: Taking taylor expansion of 0 in kx
11.107 * [backup-simplify]: Simplify 0 into 0
11.107 * [backup-simplify]: Simplify 0 into 0
11.108 * [backup-simplify]: Simplify (+ 0) into 0
11.108 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.108 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.110 * [backup-simplify]: Simplify (+ 0 0) into 0
11.111 * [backup-simplify]: Simplify (+ 0) into 0
11.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
11.111 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
11.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.113 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
11.113 * [backup-simplify]: Simplify (+ 0 0) into 0
11.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.114 * [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
11.114 * [backup-simplify]: Simplify 0 into 0
11.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.115 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.116 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.117 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.118 * [backup-simplify]: Simplify (+ 0 0) into 0
11.118 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.120 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.120 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.122 * [backup-simplify]: Simplify (+ 0 0) into 0
11.123 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.124 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.124 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.125 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.125 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.126 * [backup-simplify]: Simplify (+ 0 0) into 0
11.126 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.128 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.128 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.129 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.130 * [backup-simplify]: Simplify (+ 0 0) into 0
11.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.131 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.132 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.134 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.134 * [backup-simplify]: Simplify (+ 0 0) into 0
11.134 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.135 * [backup-simplify]: Simplify (+ 0 0) into 0
11.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.137 * [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
11.137 * [taylor]: Taking taylor expansion of 0 in ky
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [taylor]: Taking taylor expansion of 0 in kx
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [taylor]: Taking taylor expansion of 0 in kx
11.137 * [backup-simplify]: Simplify 0 into 0
11.137 * [backup-simplify]: Simplify 0 into 0
11.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.139 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.139 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.140 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.141 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.141 * [backup-simplify]: Simplify (+ 0 0) into 0
11.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.142 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.142 * [backup-simplify]: Simplify (+ 0 0) into 0
11.143 * [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
11.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
11.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.146 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
11.146 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
11.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.147 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
11.148 * [backup-simplify]: Simplify (+ 0 0) into 0
11.148 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.149 * [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
11.149 * [taylor]: Taking taylor expansion of 0 in kx
11.149 * [backup-simplify]: Simplify 0 into 0
11.149 * [backup-simplify]: Simplify 0 into 0
11.150 * [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)))
11.150 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
11.150 * [backup-simplify]: Simplify (/ (hypot (sin ky) (sin kx)) (sin ky)) into (/ (hypot (sin ky) (sin kx)) (sin ky))
11.150 * [approximate]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in (ky kx) around 0
11.150 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in kx
11.150 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
11.150 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.150 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
11.150 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.150 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.150 * [taylor]: Taking taylor expansion of ky in kx
11.150 * [backup-simplify]: Simplify ky into ky
11.150 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.150 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.150 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.150 * [taylor]: Taking taylor expansion of ky in kx
11.150 * [backup-simplify]: Simplify ky into ky
11.150 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.150 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.151 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.151 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.151 * [taylor]: Taking taylor expansion of kx in kx
11.151 * [backup-simplify]: Simplify 0 into 0
11.151 * [backup-simplify]: Simplify 1 into 1
11.151 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.151 * [taylor]: Taking taylor expansion of kx in kx
11.151 * [backup-simplify]: Simplify 0 into 0
11.151 * [backup-simplify]: Simplify 1 into 1
11.151 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.151 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.151 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.151 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.151 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.151 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.151 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.152 * [backup-simplify]: Simplify (* 0 0) into 0
11.152 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.152 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.152 * [backup-simplify]: Simplify (+ 0) into 0
11.153 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.154 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.154 * [backup-simplify]: Simplify (+ 0 0) into 0
11.155 * [backup-simplify]: Simplify (+ 0) into 0
11.155 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.156 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.157 * [backup-simplify]: Simplify (+ 0 0) into 0
11.157 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.158 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.159 * [backup-simplify]: Simplify (+ 0 0) into 0
11.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.160 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.160 * [taylor]: Taking taylor expansion of ky in kx
11.160 * [backup-simplify]: Simplify ky into ky
11.160 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.160 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.160 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.160 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.160 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.160 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
11.160 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
11.160 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.160 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.160 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.160 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.160 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.160 * [taylor]: Taking taylor expansion of ky in ky
11.160 * [backup-simplify]: Simplify 0 into 0
11.160 * [backup-simplify]: Simplify 1 into 1
11.160 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.160 * [taylor]: Taking taylor expansion of ky in ky
11.160 * [backup-simplify]: Simplify 0 into 0
11.160 * [backup-simplify]: Simplify 1 into 1
11.160 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.160 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.160 * [taylor]: Taking taylor expansion of kx in ky
11.160 * [backup-simplify]: Simplify kx into kx
11.161 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.161 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.161 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.161 * [taylor]: Taking taylor expansion of kx in ky
11.161 * [backup-simplify]: Simplify kx into kx
11.161 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.161 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.161 * [backup-simplify]: Simplify (* 0 0) into 0
11.161 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.161 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.161 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.161 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.161 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.162 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.162 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.162 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.162 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.164 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.164 * [backup-simplify]: Simplify (+ 0) into 0
11.165 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.166 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.166 * [backup-simplify]: Simplify (+ 0 0) into 0
11.167 * [backup-simplify]: Simplify (+ 0) into 0
11.167 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.168 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.169 * [backup-simplify]: Simplify (+ 0 0) into 0
11.169 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.169 * [backup-simplify]: Simplify (+ 0 0) into 0
11.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.169 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.169 * [taylor]: Taking taylor expansion of ky in ky
11.169 * [backup-simplify]: Simplify 0 into 0
11.169 * [backup-simplify]: Simplify 1 into 1
11.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.170 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
11.170 * [taylor]: Taking taylor expansion of (/ (hypot (sin ky) (sin kx)) (sin ky)) in ky
11.170 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.170 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.170 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.170 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.170 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.171 * [taylor]: Taking taylor expansion of ky in ky
11.171 * [backup-simplify]: Simplify 0 into 0
11.171 * [backup-simplify]: Simplify 1 into 1
11.171 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.171 * [taylor]: Taking taylor expansion of ky in ky
11.171 * [backup-simplify]: Simplify 0 into 0
11.171 * [backup-simplify]: Simplify 1 into 1
11.171 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.171 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.171 * [taylor]: Taking taylor expansion of kx in ky
11.171 * [backup-simplify]: Simplify kx into kx
11.171 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.171 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.171 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.171 * [taylor]: Taking taylor expansion of kx in ky
11.171 * [backup-simplify]: Simplify kx into kx
11.171 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.171 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.171 * [backup-simplify]: Simplify (* 0 0) into 0
11.172 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.172 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.172 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.172 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.172 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.172 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.172 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.172 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.172 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.174 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.175 * [backup-simplify]: Simplify (+ 0) into 0
11.175 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.176 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.177 * [backup-simplify]: Simplify (+ 0 0) into 0
11.177 * [backup-simplify]: Simplify (+ 0) into 0
11.178 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.179 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.179 * [backup-simplify]: Simplify (+ 0 0) into 0
11.179 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.180 * [backup-simplify]: Simplify (+ 0 0) into 0
11.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.180 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.180 * [taylor]: Taking taylor expansion of ky in ky
11.180 * [backup-simplify]: Simplify 0 into 0
11.180 * [backup-simplify]: Simplify 1 into 1
11.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.181 * [backup-simplify]: Simplify (/ (sin kx) 1) into (sin kx)
11.181 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.181 * [taylor]: Taking taylor expansion of kx in kx
11.181 * [backup-simplify]: Simplify 0 into 0
11.181 * [backup-simplify]: Simplify 1 into 1
11.181 * [backup-simplify]: Simplify 0 into 0
11.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)))) into 0
11.183 * [taylor]: Taking taylor expansion of 0 in kx
11.183 * [backup-simplify]: Simplify 0 into 0
11.183 * [backup-simplify]: Simplify 0 into 0
11.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.184 * [backup-simplify]: Simplify 1 into 1
11.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.188 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.192 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.193 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.194 * [backup-simplify]: Simplify (+ 0 0) into 0
11.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.195 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.196 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.197 * [backup-simplify]: Simplify (+ 0 0) into 0
11.197 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.198 * [backup-simplify]: Simplify (+ 1 0) into 1
11.199 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
11.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.201 * [backup-simplify]: Simplify (- (/ (/ 1/2 (sin kx)) 1) (+ (* (sin kx) (/ -1/6 1)) (* 0 (/ 0 1)))) into (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx))))
11.201 * [taylor]: Taking taylor expansion of (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) in kx
11.201 * [taylor]: Taking taylor expansion of (* 1/6 (sin kx)) in kx
11.201 * [taylor]: Taking taylor expansion of 1/6 in kx
11.201 * [backup-simplify]: Simplify 1/6 into 1/6
11.201 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.202 * [taylor]: Taking taylor expansion of kx in kx
11.202 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify 1 into 1
11.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (sin kx))) in kx
11.202 * [taylor]: Taking taylor expansion of 1/2 in kx
11.202 * [backup-simplify]: Simplify 1/2 into 1/2
11.202 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
11.202 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.202 * [taylor]: Taking taylor expansion of kx in kx
11.202 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify 1 into 1
11.203 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.203 * [backup-simplify]: Simplify (/ 1 1) into 1
11.203 * [backup-simplify]: Simplify (* 1/6 0) into 0
11.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.206 * [backup-simplify]: Simplify (+ 0 0) into 0
11.206 * [backup-simplify]: Simplify 0 into 0
11.206 * [backup-simplify]: Simplify 0 into 0
11.207 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.207 * [backup-simplify]: Simplify 0 into 0
11.208 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.210 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.211 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
11.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.213 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.215 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.216 * [backup-simplify]: Simplify (+ 0 0) into 0
11.217 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.218 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.220 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.221 * [backup-simplify]: Simplify (+ 0 0) into 0
11.222 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
11.222 * [backup-simplify]: Simplify (+ 0 0) into 0
11.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
11.224 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sin kx) (/ 0 1)) (* 0 (/ -1/6 1)) (* (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))) (/ 0 1)))) into 0
11.226 * [taylor]: Taking taylor expansion of 0 in kx
11.226 * [backup-simplify]: Simplify 0 into 0
11.226 * [backup-simplify]: Simplify 0 into 0
11.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.228 * [backup-simplify]: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6
11.229 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
11.231 * [backup-simplify]: Simplify (+ (* 1/2 1/6) (+ (* 0 0) (* 0 1))) into 1/12
11.232 * [backup-simplify]: Simplify (+ 1/6 1/12) into 1/4
11.232 * [backup-simplify]: Simplify 1/4 into 1/4
11.232 * [backup-simplify]: Simplify 0 into 0
11.234 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.234 * [backup-simplify]: Simplify -1/6 into -1/6
11.234 * [backup-simplify]: Simplify (+ (* -1/6 (* (pow kx 3) (/ 1 ky))) (+ (* 1/4 (* kx ky)) (* 1 (* kx (/ 1 ky))))) into (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
11.234 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) into (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky)))
11.234 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in (ky kx) around 0
11.234 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in kx
11.234 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
11.235 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.235 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
11.235 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.235 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.235 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.235 * [taylor]: Taking taylor expansion of ky in kx
11.235 * [backup-simplify]: Simplify ky into ky
11.235 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.235 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.235 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.235 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.235 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.235 * [taylor]: Taking taylor expansion of ky in kx
11.235 * [backup-simplify]: Simplify ky into ky
11.235 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.235 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.235 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.235 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.235 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.235 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.235 * [taylor]: Taking taylor expansion of kx in kx
11.235 * [backup-simplify]: Simplify 0 into 0
11.235 * [backup-simplify]: Simplify 1 into 1
11.236 * [backup-simplify]: Simplify (/ 1 1) into 1
11.236 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.236 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.236 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.236 * [taylor]: Taking taylor expansion of kx in kx
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify 1 into 1
11.236 * [backup-simplify]: Simplify (/ 1 1) into 1
11.237 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.237 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.237 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.237 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.237 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.237 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.237 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.237 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.237 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.238 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.238 * [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)))
11.238 * [backup-simplify]: Simplify (+ 0) into 0
11.239 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.240 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.241 * [backup-simplify]: Simplify (+ 0 0) into 0
11.241 * [backup-simplify]: Simplify (+ 0) into 0
11.242 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.243 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.244 * [backup-simplify]: Simplify (+ 0 0) into 0
11.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.244 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.244 * [backup-simplify]: Simplify (+ 0 0) into 0
11.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.245 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.245 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.245 * [taylor]: Taking taylor expansion of ky in kx
11.245 * [backup-simplify]: Simplify ky into ky
11.245 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.245 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.245 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.245 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.245 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.245 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.246 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
11.246 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
11.246 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.246 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.246 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.246 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.246 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.246 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.246 * [taylor]: Taking taylor expansion of ky in ky
11.246 * [backup-simplify]: Simplify 0 into 0
11.246 * [backup-simplify]: Simplify 1 into 1
11.246 * [backup-simplify]: Simplify (/ 1 1) into 1
11.246 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.246 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.247 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.247 * [taylor]: Taking taylor expansion of ky in ky
11.247 * [backup-simplify]: Simplify 0 into 0
11.247 * [backup-simplify]: Simplify 1 into 1
11.247 * [backup-simplify]: Simplify (/ 1 1) into 1
11.247 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.247 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.247 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.247 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.247 * [taylor]: Taking taylor expansion of kx in ky
11.247 * [backup-simplify]: Simplify kx into kx
11.247 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.247 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.247 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.247 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.247 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.247 * [taylor]: Taking taylor expansion of kx in ky
11.247 * [backup-simplify]: Simplify kx into kx
11.248 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.248 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.248 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.248 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.248 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.248 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.248 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.248 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.248 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.248 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.248 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.249 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.249 * [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)))
11.249 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.250 * [backup-simplify]: Simplify (+ 0) into 0
11.250 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.251 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.252 * [backup-simplify]: Simplify (+ 0 0) into 0
11.252 * [backup-simplify]: Simplify (+ 0) into 0
11.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.254 * [backup-simplify]: Simplify (+ 0 0) into 0
11.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.255 * [backup-simplify]: Simplify (+ 0 0) into 0
11.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.255 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.255 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.255 * [taylor]: Taking taylor expansion of ky in ky
11.255 * [backup-simplify]: Simplify 0 into 0
11.255 * [backup-simplify]: Simplify 1 into 1
11.256 * [backup-simplify]: Simplify (/ 1 1) into 1
11.256 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.256 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
11.256 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) (sin (/ 1 ky))) in ky
11.256 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.256 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.256 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.256 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.256 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.256 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.256 * [taylor]: Taking taylor expansion of ky in ky
11.256 * [backup-simplify]: Simplify 0 into 0
11.256 * [backup-simplify]: Simplify 1 into 1
11.257 * [backup-simplify]: Simplify (/ 1 1) into 1
11.257 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.257 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.257 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.257 * [taylor]: Taking taylor expansion of ky in ky
11.257 * [backup-simplify]: Simplify 0 into 0
11.257 * [backup-simplify]: Simplify 1 into 1
11.257 * [backup-simplify]: Simplify (/ 1 1) into 1
11.257 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.258 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.258 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.258 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.258 * [taylor]: Taking taylor expansion of kx in ky
11.258 * [backup-simplify]: Simplify kx into kx
11.258 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.258 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.258 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.258 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.258 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.258 * [taylor]: Taking taylor expansion of kx in ky
11.258 * [backup-simplify]: Simplify kx into kx
11.258 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.258 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.258 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.258 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.258 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.258 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.259 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.259 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.259 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.259 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.259 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.259 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.259 * [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)))
11.259 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.260 * [backup-simplify]: Simplify (+ 0) into 0
11.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.262 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.262 * [backup-simplify]: Simplify (+ 0 0) into 0
11.263 * [backup-simplify]: Simplify (+ 0) into 0
11.263 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.264 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.265 * [backup-simplify]: Simplify (+ 0 0) into 0
11.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.265 * [backup-simplify]: Simplify (+ 0 0) into 0
11.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.266 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.266 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.266 * [taylor]: Taking taylor expansion of ky in ky
11.266 * [backup-simplify]: Simplify 0 into 0
11.266 * [backup-simplify]: Simplify 1 into 1
11.266 * [backup-simplify]: Simplify (/ 1 1) into 1
11.266 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.266 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (sin (/ 1 ky))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
11.267 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) in kx
11.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.267 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.267 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.267 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.267 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.267 * [taylor]: Taking taylor expansion of kx in kx
11.267 * [backup-simplify]: Simplify 0 into 0
11.267 * [backup-simplify]: Simplify 1 into 1
11.267 * [backup-simplify]: Simplify (/ 1 1) into 1
11.267 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.267 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.267 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.267 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.267 * [taylor]: Taking taylor expansion of ky in kx
11.267 * [backup-simplify]: Simplify ky into ky
11.267 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.268 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.268 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.268 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.268 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.268 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.268 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.268 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.268 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.269 * [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)))
11.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.269 * [backup-simplify]: Simplify (+ 0) into 0
11.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.270 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.271 * [backup-simplify]: Simplify (+ 0 0) into 0
11.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.272 * [backup-simplify]: Simplify (+ 0 0) into 0
11.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.272 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ 1 ky))) in kx
11.272 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.272 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.272 * [taylor]: Taking taylor expansion of ky in kx
11.272 * [backup-simplify]: Simplify ky into ky
11.272 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.272 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.272 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.273 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.273 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.273 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.273 * [backup-simplify]: Simplify (/ 1 (sin (/ 1 ky))) into (/ 1 (sin (/ 1 ky)))
11.273 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
11.273 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) into (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky))))
11.274 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))))) into 0
11.274 * [taylor]: Taking taylor expansion of 0 in kx
11.274 * [backup-simplify]: Simplify 0 into 0
11.274 * [backup-simplify]: Simplify 0 into 0
11.274 * [backup-simplify]: Simplify (+ 0) into 0
11.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.277 * [backup-simplify]: Simplify (+ 0 0) into 0
11.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))))) into 0
11.277 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ 1 ky))))) into 0
11.277 * [backup-simplify]: Simplify 0 into 0
11.278 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.279 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.281 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.281 * [backup-simplify]: Simplify (+ 0 0) into 0
11.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.283 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.285 * [backup-simplify]: Simplify (+ 0 0) into 0
11.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.286 * [backup-simplify]: Simplify (+ 0 0) into 0
11.287 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.288 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
11.288 * [taylor]: Taking taylor expansion of 0 in kx
11.288 * [backup-simplify]: Simplify 0 into 0
11.288 * [backup-simplify]: Simplify 0 into 0
11.288 * [backup-simplify]: Simplify 0 into 0
11.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.289 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.291 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.291 * [backup-simplify]: Simplify (+ 0 0) into 0
11.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ 1 ky))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
11.292 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.295 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.296 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.296 * [backup-simplify]: Simplify (+ 0 0) into 0
11.296 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.297 * [backup-simplify]: Simplify (+ 0 0) into 0
11.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.298 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 ky)))))) into 0
11.298 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
11.301 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.301 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.304 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.304 * [backup-simplify]: Simplify (+ 0 0) into 0
11.305 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.309 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.309 * [backup-simplify]: Simplify (+ 0 0) into 0
11.310 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
11.311 * [backup-simplify]: Simplify (+ 0 0) into 0
11.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.312 * [backup-simplify]: Simplify (- (/ 0 (sin (/ 1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 1 (sin (/ 1 ky)))) (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))) (* 0 (/ 0 (sin (/ 1 ky)))))) into 0
11.312 * [taylor]: Taking taylor expansion of 0 in kx
11.312 * [backup-simplify]: Simplify 0 into 0
11.312 * [backup-simplify]: Simplify 0 into 0
11.313 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2))) (/ 1 (sin (/ 1 (/ 1 ky))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
11.313 * [backup-simplify]: Simplify (/ (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) (sin (/ 1 (- ky)))) into (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky)))
11.313 * [approximate]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in (ky kx) around 0
11.313 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in kx
11.313 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.313 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.313 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.313 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.313 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.313 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.313 * [taylor]: Taking taylor expansion of -1 in kx
11.313 * [backup-simplify]: Simplify -1 into -1
11.313 * [taylor]: Taking taylor expansion of ky in kx
11.313 * [backup-simplify]: Simplify ky into ky
11.313 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.313 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.313 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.314 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.314 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.314 * [taylor]: Taking taylor expansion of -1 in kx
11.314 * [backup-simplify]: Simplify -1 into -1
11.314 * [taylor]: Taking taylor expansion of ky in kx
11.314 * [backup-simplify]: Simplify ky into ky
11.314 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.314 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.314 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.314 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.314 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.314 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.314 * [taylor]: Taking taylor expansion of -1 in kx
11.314 * [backup-simplify]: Simplify -1 into -1
11.314 * [taylor]: Taking taylor expansion of kx in kx
11.314 * [backup-simplify]: Simplify 0 into 0
11.314 * [backup-simplify]: Simplify 1 into 1
11.315 * [backup-simplify]: Simplify (/ -1 1) into -1
11.315 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.315 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.315 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.315 * [taylor]: Taking taylor expansion of -1 in kx
11.315 * [backup-simplify]: Simplify -1 into -1
11.315 * [taylor]: Taking taylor expansion of kx in kx
11.315 * [backup-simplify]: Simplify 0 into 0
11.315 * [backup-simplify]: Simplify 1 into 1
11.316 * [backup-simplify]: Simplify (/ -1 1) into -1
11.316 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.316 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.316 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.316 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.316 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.316 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.316 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.316 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.316 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.317 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.317 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
11.317 * [backup-simplify]: Simplify (+ 0) into 0
11.318 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.318 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.319 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.320 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.320 * [backup-simplify]: Simplify (+ 0 0) into 0
11.320 * [backup-simplify]: Simplify (+ 0) into 0
11.321 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.321 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.322 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.323 * [backup-simplify]: Simplify (+ 0 0) into 0
11.323 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.323 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.323 * [backup-simplify]: Simplify (+ 0 0) into 0
11.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.324 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.324 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.324 * [taylor]: Taking taylor expansion of -1 in kx
11.324 * [backup-simplify]: Simplify -1 into -1
11.324 * [taylor]: Taking taylor expansion of ky in kx
11.324 * [backup-simplify]: Simplify ky into ky
11.324 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.324 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.324 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.324 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.324 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.324 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.325 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
11.325 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
11.325 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.325 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.325 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.325 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.325 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.325 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.325 * [taylor]: Taking taylor expansion of -1 in ky
11.325 * [backup-simplify]: Simplify -1 into -1
11.325 * [taylor]: Taking taylor expansion of ky in ky
11.325 * [backup-simplify]: Simplify 0 into 0
11.325 * [backup-simplify]: Simplify 1 into 1
11.325 * [backup-simplify]: Simplify (/ -1 1) into -1
11.326 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.326 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.326 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.326 * [taylor]: Taking taylor expansion of -1 in ky
11.326 * [backup-simplify]: Simplify -1 into -1
11.326 * [taylor]: Taking taylor expansion of ky in ky
11.326 * [backup-simplify]: Simplify 0 into 0
11.326 * [backup-simplify]: Simplify 1 into 1
11.326 * [backup-simplify]: Simplify (/ -1 1) into -1
11.326 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.326 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.326 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.326 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.326 * [taylor]: Taking taylor expansion of -1 in ky
11.326 * [backup-simplify]: Simplify -1 into -1
11.326 * [taylor]: Taking taylor expansion of kx in ky
11.326 * [backup-simplify]: Simplify kx into kx
11.326 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.326 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.327 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.327 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.327 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.327 * [taylor]: Taking taylor expansion of -1 in ky
11.327 * [backup-simplify]: Simplify -1 into -1
11.327 * [taylor]: Taking taylor expansion of kx in ky
11.327 * [backup-simplify]: Simplify kx into kx
11.327 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.327 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.327 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.327 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.327 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.327 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.327 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.328 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.328 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.328 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.328 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.328 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.328 * [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)))
11.328 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.329 * [backup-simplify]: Simplify (+ 0) into 0
11.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.330 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.331 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.331 * [backup-simplify]: Simplify (+ 0 0) into 0
11.332 * [backup-simplify]: Simplify (+ 0) into 0
11.332 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.332 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.334 * [backup-simplify]: Simplify (+ 0 0) into 0
11.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.334 * [backup-simplify]: Simplify (+ 0 0) into 0
11.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.335 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.335 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.335 * [taylor]: Taking taylor expansion of -1 in ky
11.335 * [backup-simplify]: Simplify -1 into -1
11.335 * [taylor]: Taking taylor expansion of ky in ky
11.335 * [backup-simplify]: Simplify 0 into 0
11.335 * [backup-simplify]: Simplify 1 into 1
11.335 * [backup-simplify]: Simplify (/ -1 1) into -1
11.335 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.336 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
11.336 * [taylor]: Taking taylor expansion of (/ (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) (sin (/ -1 ky))) in ky
11.336 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.336 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.336 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.336 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.336 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.336 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.336 * [taylor]: Taking taylor expansion of -1 in ky
11.336 * [backup-simplify]: Simplify -1 into -1
11.336 * [taylor]: Taking taylor expansion of ky in ky
11.336 * [backup-simplify]: Simplify 0 into 0
11.336 * [backup-simplify]: Simplify 1 into 1
11.336 * [backup-simplify]: Simplify (/ -1 1) into -1
11.336 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.337 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.337 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.337 * [taylor]: Taking taylor expansion of -1 in ky
11.337 * [backup-simplify]: Simplify -1 into -1
11.337 * [taylor]: Taking taylor expansion of ky in ky
11.337 * [backup-simplify]: Simplify 0 into 0
11.337 * [backup-simplify]: Simplify 1 into 1
11.337 * [backup-simplify]: Simplify (/ -1 1) into -1
11.337 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.337 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.337 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.337 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.337 * [taylor]: Taking taylor expansion of -1 in ky
11.337 * [backup-simplify]: Simplify -1 into -1
11.337 * [taylor]: Taking taylor expansion of kx in ky
11.337 * [backup-simplify]: Simplify kx into kx
11.337 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.338 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.338 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.338 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.338 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.338 * [taylor]: Taking taylor expansion of -1 in ky
11.338 * [backup-simplify]: Simplify -1 into -1
11.338 * [taylor]: Taking taylor expansion of kx in ky
11.338 * [backup-simplify]: Simplify kx into kx
11.338 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.338 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.338 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.338 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.338 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.338 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.338 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.338 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.339 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.339 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.339 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.339 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.339 * [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)))
11.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.340 * [backup-simplify]: Simplify (+ 0) into 0
11.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.341 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.341 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.342 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.347 * [backup-simplify]: Simplify (+ 0 0) into 0
11.348 * [backup-simplify]: Simplify (+ 0) into 0
11.349 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.349 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.350 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.350 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.351 * [backup-simplify]: Simplify (+ 0 0) into 0
11.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.351 * [backup-simplify]: Simplify (+ 0 0) into 0
11.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.351 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.351 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.352 * [taylor]: Taking taylor expansion of -1 in ky
11.352 * [backup-simplify]: Simplify -1 into -1
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 * [backup-simplify]: Simplify (/ -1 1) into -1
11.352 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.352 * [backup-simplify]: Simplify (/ (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (sin (/ -1 ky))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
11.353 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) in kx
11.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.353 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.353 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.353 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.353 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.353 * [taylor]: Taking taylor expansion of -1 in kx
11.353 * [backup-simplify]: Simplify -1 into -1
11.353 * [taylor]: Taking taylor expansion of kx in kx
11.353 * [backup-simplify]: Simplify 0 into 0
11.353 * [backup-simplify]: Simplify 1 into 1
11.353 * [backup-simplify]: Simplify (/ -1 1) into -1
11.353 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.353 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.353 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.353 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.353 * [taylor]: Taking taylor expansion of -1 in kx
11.354 * [backup-simplify]: Simplify -1 into -1
11.354 * [taylor]: Taking taylor expansion of ky in kx
11.354 * [backup-simplify]: Simplify ky into ky
11.354 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.354 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.354 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.354 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.354 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.354 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.354 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.354 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.354 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.355 * [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)))
11.355 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.355 * [backup-simplify]: Simplify (+ 0) into 0
11.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.356 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.358 * [backup-simplify]: Simplify (+ 0 0) into 0
11.358 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.358 * [backup-simplify]: Simplify (+ 0 0) into 0
11.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.358 * [taylor]: Taking taylor expansion of (/ 1 (sin (/ -1 ky))) in kx
11.358 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.359 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.359 * [taylor]: Taking taylor expansion of -1 in kx
11.359 * [backup-simplify]: Simplify -1 into -1
11.359 * [taylor]: Taking taylor expansion of ky in kx
11.359 * [backup-simplify]: Simplify ky into ky
11.359 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.359 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.359 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.359 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.359 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.359 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.359 * [backup-simplify]: Simplify (/ 1 (sin (/ -1 ky))) into (/ 1 (sin (/ -1 ky)))
11.360 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
11.360 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) into (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky))))
11.360 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))))) into 0
11.360 * [taylor]: Taking taylor expansion of 0 in kx
11.360 * [backup-simplify]: Simplify 0 into 0
11.360 * [backup-simplify]: Simplify 0 into 0
11.361 * [backup-simplify]: Simplify (+ 0) into 0
11.361 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.362 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.362 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.363 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.363 * [backup-simplify]: Simplify (+ 0 0) into 0
11.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))))) into 0
11.364 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (* 0 (/ 1 (sin (/ -1 ky))))) into 0
11.364 * [backup-simplify]: Simplify 0 into 0
11.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.365 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.366 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.366 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.367 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.367 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.368 * [backup-simplify]: Simplify (+ 0 0) into 0
11.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.369 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.370 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.371 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.372 * [backup-simplify]: Simplify (+ 0 0) into 0
11.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.372 * [backup-simplify]: Simplify (+ 0 0) into 0
11.373 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.374 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
11.374 * [taylor]: Taking taylor expansion of 0 in kx
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.374 * [backup-simplify]: Simplify 0 into 0
11.375 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.376 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.376 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.377 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.377 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.378 * [backup-simplify]: Simplify (+ 0 0) into 0
11.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sin (/ -1 ky))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
11.378 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.380 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.380 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.381 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.382 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.382 * [backup-simplify]: Simplify (+ 0 0) into 0
11.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.383 * [backup-simplify]: Simplify (+ 0 0) into 0
11.384 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.385 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 ky)))))) into 0
11.385 * [backup-simplify]: Simplify 0 into 0
11.385 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
11.386 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.387 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.387 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.389 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.390 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.390 * [backup-simplify]: Simplify (+ 0 0) into 0
11.391 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.392 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.394 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.395 * [backup-simplify]: Simplify (+ 0 0) into 0
11.396 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
11.396 * [backup-simplify]: Simplify (+ 0 0) into 0
11.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.398 * [backup-simplify]: Simplify (- (/ 0 (sin (/ -1 ky))) (+ (* (* (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 1 (sin (/ -1 ky)))) (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))) (* 0 (/ 0 (sin (/ -1 ky)))))) into 0
11.398 * [taylor]: Taking taylor expansion of 0 in kx
11.398 * [backup-simplify]: Simplify 0 into 0
11.398 * [backup-simplify]: Simplify 0 into 0
11.398 * [backup-simplify]: Simplify (* (sqrt (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2))) (/ 1 (sin (/ -1 (/ 1 (- ky)))))) into (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
11.398 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1)
11.399 * [backup-simplify]: Simplify (hypot (sin ky) (sin kx)) into (hypot (sin ky) (sin kx))
11.399 * [approximate]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in (ky kx) around 0
11.399 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in kx
11.399 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.399 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in kx
11.399 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
11.399 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.399 * [taylor]: Taking taylor expansion of ky in kx
11.399 * [backup-simplify]: Simplify ky into ky
11.399 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.399 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.399 * [taylor]: Taking taylor expansion of (sin ky) in kx
11.399 * [taylor]: Taking taylor expansion of ky in kx
11.399 * [backup-simplify]: Simplify ky into ky
11.399 * [backup-simplify]: Simplify (sin ky) into (sin ky)
11.399 * [backup-simplify]: Simplify (cos ky) into (cos ky)
11.399 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
11.399 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.399 * [taylor]: Taking taylor expansion of kx in kx
11.399 * [backup-simplify]: Simplify 0 into 0
11.399 * [backup-simplify]: Simplify 1 into 1
11.399 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.399 * [taylor]: Taking taylor expansion of kx in kx
11.399 * [backup-simplify]: Simplify 0 into 0
11.399 * [backup-simplify]: Simplify 1 into 1
11.399 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.399 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.400 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.400 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
11.400 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
11.400 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
11.400 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
11.400 * [backup-simplify]: Simplify (* 0 0) into 0
11.401 * [backup-simplify]: Simplify (+ (pow (sin ky) 2) 0) into (pow (sin ky) 2)
11.401 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
11.401 * [backup-simplify]: Simplify (+ 0) into 0
11.401 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.402 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.403 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.403 * [backup-simplify]: Simplify (+ 0 0) into 0
11.404 * [backup-simplify]: Simplify (+ 0) into 0
11.404 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
11.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.405 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
11.406 * [backup-simplify]: Simplify (+ 0 0) into 0
11.406 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
11.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.408 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.408 * [backup-simplify]: Simplify (+ 0 0) into 0
11.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
11.409 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.409 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.409 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.409 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.409 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.409 * [taylor]: Taking taylor expansion of ky in ky
11.409 * [backup-simplify]: Simplify 0 into 0
11.409 * [backup-simplify]: Simplify 1 into 1
11.409 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.409 * [taylor]: Taking taylor expansion of ky in ky
11.409 * [backup-simplify]: Simplify 0 into 0
11.409 * [backup-simplify]: Simplify 1 into 1
11.409 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.409 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.409 * [taylor]: Taking taylor expansion of kx in ky
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 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.409 * [taylor]: Taking taylor expansion of kx in ky
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)
11.410 * [backup-simplify]: Simplify (* 0 0) into 0
11.410 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.410 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.410 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.410 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.410 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.410 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.411 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.411 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.411 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.413 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.413 * [backup-simplify]: Simplify (+ 0) into 0
11.414 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.415 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.416 * [backup-simplify]: Simplify (+ 0 0) into 0
11.416 * [backup-simplify]: Simplify (+ 0) into 0
11.416 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.417 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.418 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.418 * [backup-simplify]: Simplify (+ 0 0) into 0
11.418 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.419 * [backup-simplify]: Simplify (+ 0 0) into 0
11.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
11.419 * [taylor]: Taking taylor expansion of (hypot (sin ky) (sin kx)) in ky
11.419 * [taylor]: Rewrote expression to (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
11.419 * [taylor]: Taking taylor expansion of (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))) in ky
11.419 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
11.419 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.419 * [taylor]: Taking taylor expansion of ky in ky
11.419 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify 1 into 1
11.419 * [taylor]: Taking taylor expansion of (sin ky) in ky
11.419 * [taylor]: Taking taylor expansion of ky in ky
11.419 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify 1 into 1
11.419 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
11.419 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.419 * [taylor]: Taking taylor expansion of kx in ky
11.419 * [backup-simplify]: Simplify kx into kx
11.419 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.419 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.420 * [taylor]: Taking taylor expansion of (sin kx) in ky
11.420 * [taylor]: Taking taylor expansion of kx in ky
11.420 * [backup-simplify]: Simplify kx into kx
11.420 * [backup-simplify]: Simplify (sin kx) into (sin kx)
11.420 * [backup-simplify]: Simplify (cos kx) into (cos kx)
11.420 * [backup-simplify]: Simplify (* 0 0) into 0
11.420 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.421 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.421 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.421 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
11.421 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
11.421 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
11.421 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
11.421 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
11.421 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
11.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.423 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.424 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.424 * [backup-simplify]: Simplify (+ 0) into 0
11.424 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.426 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.426 * [backup-simplify]: Simplify (+ 0 0) into 0
11.426 * [backup-simplify]: Simplify (+ 0) into 0
11.427 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
11.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.428 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
11.429 * [backup-simplify]: Simplify (+ 0 0) into 0
11.429 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
11.429 * [backup-simplify]: Simplify (+ 0 0) into 0
11.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
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 0 into 0
11.430 * [taylor]: Taking taylor expansion of 0 in kx
11.430 * [backup-simplify]: Simplify 0 into 0
11.430 * [backup-simplify]: Simplify 0 into 0
11.430 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.430 * [backup-simplify]: Simplify 1 into 1
11.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.432 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.434 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.434 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.435 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.436 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.436 * [backup-simplify]: Simplify (+ 0 0) into 0
11.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.438 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
11.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.439 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
11.440 * [backup-simplify]: Simplify (+ 0 0) into 0
11.440 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
11.441 * [backup-simplify]: Simplify (+ 1 0) into 1
11.441 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
11.441 * [taylor]: Taking taylor expansion of (/ 1/2 (sin kx)) in kx
11.441 * [taylor]: Taking taylor expansion of 1/2 in kx
11.441 * [backup-simplify]: Simplify 1/2 into 1/2
11.441 * [taylor]: Taking taylor expansion of (sin kx) in kx
11.441 * [taylor]: Taking taylor expansion of kx in kx
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify 1 into 1
11.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
11.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.443 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify 0 into 0
11.445 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.445 * [backup-simplify]: Simplify 0 into 0
11.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.448 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.450 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
11.451 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.452 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.454 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.455 * [backup-simplify]: Simplify (+ 0 0) into 0
11.456 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.456 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.458 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.459 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.459 * [backup-simplify]: Simplify (+ 0 0) into 0
11.460 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
11.460 * [backup-simplify]: Simplify (+ 0 0) into 0
11.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
11.460 * [taylor]: Taking taylor expansion of 0 in kx
11.460 * [backup-simplify]: Simplify 0 into 0
11.461 * [backup-simplify]: Simplify 0 into 0
11.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/12
11.464 * [backup-simplify]: Simplify 1/12 into 1/12
11.464 * [backup-simplify]: Simplify 0 into 0
11.465 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
11.465 * [backup-simplify]: Simplify -1/6 into -1/6
11.466 * [backup-simplify]: Simplify (+ (* -1/6 (pow (* kx 1) 3)) (+ (* 1/12 (* kx (pow ky 2))) (* 1 (* kx 1)))) into (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
11.466 * [backup-simplify]: Simplify (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) into (hypot (sin (/ 1 ky)) (sin (/ 1 kx)))
11.466 * [approximate]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in (ky kx) around 0
11.466 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in kx
11.466 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.466 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in kx
11.466 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
11.466 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.466 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.466 * [taylor]: Taking taylor expansion of ky in kx
11.466 * [backup-simplify]: Simplify ky into ky
11.466 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.466 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.467 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.467 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.467 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.467 * [taylor]: Taking taylor expansion of ky in kx
11.467 * [backup-simplify]: Simplify ky into ky
11.467 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.467 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.467 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.467 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
11.467 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.467 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.467 * [taylor]: Taking taylor expansion of kx in kx
11.467 * [backup-simplify]: Simplify 0 into 0
11.467 * [backup-simplify]: Simplify 1 into 1
11.467 * [backup-simplify]: Simplify (/ 1 1) into 1
11.468 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.468 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.468 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.468 * [taylor]: Taking taylor expansion of kx in kx
11.468 * [backup-simplify]: Simplify 0 into 0
11.468 * [backup-simplify]: Simplify 1 into 1
11.468 * [backup-simplify]: Simplify (/ 1 1) into 1
11.468 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.468 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.468 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.468 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.469 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.469 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.469 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.469 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.469 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.469 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.469 * [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)))
11.470 * [backup-simplify]: Simplify (+ 0) into 0
11.470 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.472 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.472 * [backup-simplify]: Simplify (+ 0 0) into 0
11.473 * [backup-simplify]: Simplify (+ 0) into 0
11.473 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.475 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.475 * [backup-simplify]: Simplify (+ 0 0) into 0
11.475 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.475 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.476 * [backup-simplify]: Simplify (+ 0 0) into 0
11.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.476 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.476 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.476 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.476 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.476 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.476 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.476 * [taylor]: Taking taylor expansion of ky in ky
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify 1 into 1
11.477 * [backup-simplify]: Simplify (/ 1 1) into 1
11.477 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.477 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.477 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.477 * [taylor]: Taking taylor expansion of ky in ky
11.477 * [backup-simplify]: Simplify 0 into 0
11.477 * [backup-simplify]: Simplify 1 into 1
11.477 * [backup-simplify]: Simplify (/ 1 1) into 1
11.477 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.477 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.477 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.477 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.477 * [taylor]: Taking taylor expansion of kx in ky
11.477 * [backup-simplify]: Simplify kx into kx
11.477 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.477 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.478 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.478 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.478 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.478 * [taylor]: Taking taylor expansion of kx in ky
11.478 * [backup-simplify]: Simplify kx into kx
11.478 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.478 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.478 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.478 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.478 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.478 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.478 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.478 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.478 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.479 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.479 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.479 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.479 * [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)))
11.479 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.480 * [backup-simplify]: Simplify (+ 0) into 0
11.480 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.482 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.482 * [backup-simplify]: Simplify (+ 0 0) into 0
11.482 * [backup-simplify]: Simplify (+ 0) into 0
11.483 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.484 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.485 * [backup-simplify]: Simplify (+ 0 0) into 0
11.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.485 * [backup-simplify]: Simplify (+ 0 0) into 0
11.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.486 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 ky)) (sin (/ 1 kx))) in ky
11.486 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))))
11.486 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 ky)) (sin (/ 1 ky))) (* (sin (/ 1 kx)) (sin (/ 1 kx)))) in ky
11.486 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
11.486 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.486 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.486 * [taylor]: Taking taylor expansion of ky in ky
11.486 * [backup-simplify]: Simplify 0 into 0
11.486 * [backup-simplify]: Simplify 1 into 1
11.486 * [backup-simplify]: Simplify (/ 1 1) into 1
11.486 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.486 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
11.486 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
11.486 * [taylor]: Taking taylor expansion of ky in ky
11.486 * [backup-simplify]: Simplify 0 into 0
11.487 * [backup-simplify]: Simplify 1 into 1
11.487 * [backup-simplify]: Simplify (/ 1 1) into 1
11.487 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.487 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
11.487 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.487 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.487 * [taylor]: Taking taylor expansion of kx in ky
11.487 * [backup-simplify]: Simplify kx into kx
11.487 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.487 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.487 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.487 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
11.487 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
11.487 * [taylor]: Taking taylor expansion of kx in ky
11.487 * [backup-simplify]: Simplify kx into kx
11.487 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
11.488 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.488 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
11.488 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.488 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.488 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.488 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.488 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
11.488 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
11.488 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
11.488 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.489 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 ky)) 2) (pow (sin (/ 1 kx)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.489 * [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)))
11.489 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.490 * [backup-simplify]: Simplify (+ 0) into 0
11.490 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.491 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.492 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.492 * [backup-simplify]: Simplify (+ 0 0) into 0
11.492 * [backup-simplify]: Simplify (+ 0) into 0
11.493 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
11.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
11.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
11.495 * [backup-simplify]: Simplify (+ 0 0) into 0
11.495 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.496 * [backup-simplify]: Simplify (+ 0 0) into 0
11.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.496 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
11.496 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
11.496 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
11.496 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
11.496 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
11.496 * [taylor]: Taking taylor expansion of kx in kx
11.496 * [backup-simplify]: Simplify 0 into 0
11.496 * [backup-simplify]: Simplify 1 into 1
11.497 * [backup-simplify]: Simplify (/ 1 1) into 1
11.497 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
11.497 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
11.497 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
11.497 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
11.497 * [taylor]: Taking taylor expansion of ky in kx
11.497 * [backup-simplify]: Simplify ky into ky
11.497 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
11.497 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
11.497 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
11.497 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
11.498 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
11.498 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
11.498 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
11.498 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
11.498 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
11.499 * [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)))
11.499 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
11.504 * [backup-simplify]: Simplify (+ 0) into 0
11.505 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
11.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
11.506 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.506 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
11.507 * [backup-simplify]: Simplify (+ 0 0) into 0
11.507 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
11.507 * [backup-simplify]: Simplify (+ 0 0) into 0
11.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.508 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
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
11.508 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.510 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.510 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.511 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.512 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.512 * [backup-simplify]: Simplify (+ 0 0) into 0
11.513 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.514 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.516 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.516 * [backup-simplify]: Simplify (+ 0 0) into 0
11.517 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.517 * [backup-simplify]: Simplify (+ 0 0) into 0
11.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.518 * [taylor]: Taking taylor expansion of 0 in kx
11.518 * [backup-simplify]: Simplify 0 into 0
11.518 * [backup-simplify]: Simplify 0 into 0
11.518 * [backup-simplify]: Simplify 0 into 0
11.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
11.520 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.522 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.522 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.522 * [backup-simplify]: Simplify (+ 0 0) into 0
11.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
11.523 * [backup-simplify]: Simplify (+ 0 0) into 0
11.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.524 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
11.526 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.527 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.530 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.530 * [backup-simplify]: Simplify (+ 0 0) into 0
11.531 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.534 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.535 * [backup-simplify]: Simplify (+ 0 0) into 0
11.536 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
11.536 * [backup-simplify]: Simplify (+ 0 0) into 0
11.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
11.537 * [taylor]: Taking taylor expansion of 0 in kx
11.537 * [backup-simplify]: Simplify 0 into 0
11.537 * [backup-simplify]: Simplify 0 into 0
11.538 * [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)))
11.538 * [backup-simplify]: Simplify (hypot (sin (/ 1 (- ky))) (sin (/ 1 (- kx)))) into (hypot (sin (/ -1 ky)) (sin (/ -1 kx)))
11.538 * [approximate]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in (ky kx) around 0
11.538 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in kx
11.538 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.538 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in kx
11.538 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
11.538 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.538 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.538 * [taylor]: Taking taylor expansion of -1 in kx
11.538 * [backup-simplify]: Simplify -1 into -1
11.538 * [taylor]: Taking taylor expansion of ky in kx
11.538 * [backup-simplify]: Simplify ky into ky
11.538 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.538 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.538 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.538 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.538 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.539 * [taylor]: Taking taylor expansion of -1 in kx
11.539 * [backup-simplify]: Simplify -1 into -1
11.539 * [taylor]: Taking taylor expansion of ky in kx
11.539 * [backup-simplify]: Simplify ky into ky
11.539 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.539 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.539 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.539 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
11.539 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.539 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.539 * [taylor]: Taking taylor expansion of -1 in kx
11.539 * [backup-simplify]: Simplify -1 into -1
11.539 * [taylor]: Taking taylor expansion of kx in kx
11.539 * [backup-simplify]: Simplify 0 into 0
11.539 * [backup-simplify]: Simplify 1 into 1
11.540 * [backup-simplify]: Simplify (/ -1 1) into -1
11.540 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.540 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.540 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.540 * [taylor]: Taking taylor expansion of -1 in kx
11.540 * [backup-simplify]: Simplify -1 into -1
11.540 * [taylor]: Taking taylor expansion of kx in kx
11.540 * [backup-simplify]: Simplify 0 into 0
11.540 * [backup-simplify]: Simplify 1 into 1
11.540 * [backup-simplify]: Simplify (/ -1 1) into -1
11.540 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.540 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.541 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.541 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.541 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.541 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.541 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.541 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.541 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.541 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.542 * [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)))
11.542 * [backup-simplify]: Simplify (+ 0) into 0
11.543 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.543 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.544 * [backup-simplify]: Simplify (+ 0 0) into 0
11.545 * [backup-simplify]: Simplify (+ 0) into 0
11.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.545 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.547 * [backup-simplify]: Simplify (+ 0 0) into 0
11.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.548 * [backup-simplify]: Simplify (+ 0 0) into 0
11.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.549 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.549 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.549 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.549 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
11.549 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.549 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.549 * [taylor]: Taking taylor expansion of -1 in ky
11.549 * [backup-simplify]: Simplify -1 into -1
11.549 * [taylor]: Taking taylor expansion of ky in ky
11.549 * [backup-simplify]: Simplify 0 into 0
11.549 * [backup-simplify]: Simplify 1 into 1
11.549 * [backup-simplify]: Simplify (/ -1 1) into -1
11.549 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.549 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
11.549 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
11.550 * [taylor]: Taking taylor expansion of -1 in ky
11.550 * [backup-simplify]: Simplify -1 into -1
11.550 * [taylor]: Taking taylor expansion of ky in ky
11.550 * [backup-simplify]: Simplify 0 into 0
11.550 * [backup-simplify]: Simplify 1 into 1
11.550 * [backup-simplify]: Simplify (/ -1 1) into -1
11.550 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.550 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
11.550 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.550 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.550 * [taylor]: Taking taylor expansion of -1 in ky
11.550 * [backup-simplify]: Simplify -1 into -1
11.550 * [taylor]: Taking taylor expansion of kx in ky
11.550 * [backup-simplify]: Simplify kx into kx
11.550 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.550 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.551 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.551 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
11.551 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
11.551 * [taylor]: Taking taylor expansion of -1 in ky
11.551 * [backup-simplify]: Simplify -1 into -1
11.551 * [taylor]: Taking taylor expansion of kx in ky
11.551 * [backup-simplify]: Simplify kx into kx
11.551 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
11.551 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.551 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
11.551 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.551 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.551 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.551 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.551 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.552 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.552 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.552 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.552 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.552 * [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)))
11.552 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.553 * [backup-simplify]: Simplify (+ 0) into 0
11.553 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.554 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.554 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.555 * [backup-simplify]: Simplify (+ 0 0) into 0
11.555 * [backup-simplify]: Simplify (+ 0) into 0
11.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.555 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.556 * [backup-simplify]: Simplify (+ 0 0) into 0
11.556 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.557 * [backup-simplify]: Simplify (+ 0 0) into 0
11.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.557 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 ky)) (sin (/ -1 kx))) in ky
11.557 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))))
11.557 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 ky)) (sin (/ -1 ky))) (* (sin (/ -1 kx)) (sin (/ -1 kx)))) in ky
11.557 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
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
11.557 * [backup-simplify]: Simplify (/ -1 1) into -1
11.557 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
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 (* (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
11.558 * [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 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.558 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.558 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.558 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.558 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
11.558 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
11.558 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
11.559 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.559 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 ky)) 2) (pow (sin (/ -1 kx)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.559 * [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)))
11.559 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.559 * [backup-simplify]: Simplify (+ 0) into 0
11.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.560 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.560 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.561 * [backup-simplify]: Simplify (+ 0 0) into 0
11.561 * [backup-simplify]: Simplify (+ 0) into 0
11.561 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
11.561 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
11.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
11.562 * [backup-simplify]: Simplify (+ 0 0) into 0
11.562 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.563 * [backup-simplify]: Simplify (+ 0 0) into 0
11.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.563 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
11.563 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
11.563 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
11.563 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
11.563 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
11.563 * [taylor]: Taking taylor expansion of -1 in kx
11.563 * [backup-simplify]: Simplify -1 into -1
11.563 * [taylor]: Taking taylor expansion of kx in kx
11.563 * [backup-simplify]: Simplify 0 into 0
11.563 * [backup-simplify]: Simplify 1 into 1
11.563 * [backup-simplify]: Simplify (/ -1 1) into -1
11.563 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
11.563 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
11.563 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
11.563 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
11.563 * [taylor]: Taking taylor expansion of -1 in kx
11.563 * [backup-simplify]: Simplify -1 into -1
11.563 * [taylor]: Taking taylor expansion of ky in kx
11.563 * [backup-simplify]: Simplify ky into ky
11.563 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
11.563 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
11.564 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
11.564 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
11.564 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
11.564 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
11.564 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
11.564 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
11.564 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
11.564 * [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)))
11.564 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
11.564 * [backup-simplify]: Simplify (+ 0) into 0
11.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
11.565 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
11.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
11.566 * [backup-simplify]: Simplify (+ 0 0) into 0
11.566 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
11.566 * [backup-simplify]: Simplify (+ 0 0) into 0
11.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.567 * [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)))
11.567 * [taylor]: Taking taylor expansion of 0 in kx
11.567 * [backup-simplify]: Simplify 0 into 0
11.567 * [backup-simplify]: Simplify 0 into 0
11.567 * [backup-simplify]: Simplify 0 into 0
11.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.568 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.568 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.568 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.569 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.569 * [backup-simplify]: Simplify (+ 0 0) into 0
11.570 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.570 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
11.570 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.571 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.571 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
11.571 * [backup-simplify]: Simplify (+ 0 0) into 0
11.572 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.572 * [backup-simplify]: Simplify (+ 0 0) into 0
11.572 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.572 * [taylor]: Taking taylor expansion of 0 in kx
11.572 * [backup-simplify]: Simplify 0 into 0
11.572 * [backup-simplify]: Simplify 0 into 0
11.572 * [backup-simplify]: Simplify 0 into 0
11.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
11.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.574 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
11.574 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
11.575 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.576 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
11.576 * [backup-simplify]: Simplify (+ 0 0) into 0
11.577 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
11.577 * [backup-simplify]: Simplify (+ 0 0) into 0
11.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.578 * [backup-simplify]: Simplify 0 into 0
11.579 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
11.580 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.581 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.582 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.584 * [backup-simplify]: Simplify (+ 0 0) into 0
11.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.585 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.586 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
11.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.588 * [backup-simplify]: Simplify (+ 0 0) into 0
11.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
11.589 * [backup-simplify]: Simplify (+ 0 0) into 0
11.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
11.591 * [taylor]: Taking taylor expansion of 0 in kx
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [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)))
11.591 * * * [progress]: simplifying candidates
11.591 * * * * [progress]: [ 1 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.591 * * * * [progress]: [ 2 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.591 * * * * [progress]: [ 3 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (pow (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) 1))>
11.591 * * * * [progress]: [ 4 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (exp (- (log (sin th)) (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))))>
11.591 * * * * [progress]: [ 5 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (exp (- (log (sin th)) (log (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.591 * * * * [progress]: [ 6 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 7 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 8 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (/ (* (* (sin th) (sin th)) (sin th)) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))))>
11.592 * * * * [progress]: [ 9 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 10 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 11 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 12 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 13 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (- (sin th)) (- (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.592 * * * * [progress]: [ 14 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 15 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.592 * * * * [progress]: [ 16 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.592 * * * * [progress]: [ 17 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.592 * * * * [progress]: [ 18 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.592 * * * * [progress]: [ 19 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.592 * * * * [progress]: [ 20 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.592 * * * * [progress]: [ 21 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.593 * * * * [progress]: [ 22 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
11.593 * * * * [progress]: [ 23 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (sqrt (sin ky)))) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
11.593 * * * * [progress]: [ 24 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 1)) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.593 * * * * [progress]: [ 25 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) 1) (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.593 * * * * [progress]: [ 26 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx))) (/ (cbrt (sin th)) (/ 1 (sin ky)))))>
11.593 * * * * [progress]: [ 27 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.593 * * * * [progress]: [ 28 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.593 * * * * [progress]: [ 29 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.593 * * * * [progress]: [ 30 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.593 * * * * [progress]: [ 31 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.593 * * * * [progress]: [ 32 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.593 * * * * [progress]: [ 33 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.593 * * * * [progress]: [ 34 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.593 * * * * [progress]: [ 35 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
11.594 * * * * [progress]: [ 36 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ 1 (sqrt (sin ky)))) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
11.594 * * * * [progress]: [ 37 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (/ 1 1)) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.594 * * * * [progress]: [ 38 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) 1) (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.594 * * * * [progress]: [ 39 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) (/ (sqrt (sin th)) (/ 1 (sin ky)))))>
11.594 * * * * [progress]: [ 40 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.594 * * * * [progress]: [ 41 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.594 * * * * [progress]: [ 42 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.594 * * * * [progress]: [ 43 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.594 * * * * [progress]: [ 44 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.594 * * * * [progress]: [ 45 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.594 * * * * [progress]: [ 46 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.594 * * * * [progress]: [ 47 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.594 * * * * [progress]: [ 48 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
11.594 * * * * [progress]: [ 49 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ 1 (sqrt (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
11.594 * * * * [progress]: [ 50 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (/ 1 1)) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.594 * * * * [progress]: [ 51 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 1) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.595 * * * * [progress]: [ 52 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ 1 (hypot (sin ky) (sin kx))) (/ (sin th) (/ 1 (sin ky)))))>
11.595 * * * * [progress]: [ 53 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.595 * * * * [progress]: [ 54 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.595 * * * * [progress]: [ 55 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))))>
11.595 * * * * [progress]: [ 56 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.595 * * * * [progress]: [ 57 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.595 * * * * [progress]: [ 58 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))>
11.595 * * * * [progress]: [ 59 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))>
11.595 * * * * [progress]: [ 60 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))))>
11.595 * * * * [progress]: [ 61 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))>
11.595 * * * * [progress]: [ 62 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))>
11.595 * * * * [progress]: [ 63 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) 1)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))))>
11.595 * * * * [progress]: [ 64 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))))>
11.595 * * * * [progress]: [ 65 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ 1 (sqrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))))>
11.595 * * * * [progress]: [ 66 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (/ 1 1)) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
11.596 * * * * [progress]: [ 67 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) 1) (/ (hypot (sin ky) (sin kx)) (sin ky))))>
11.596 * * * * [progress]: [ 68 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (/ (sin th) (hypot (sin ky) (sin kx))) (/ 1 (sin ky))))>
11.596 * * * * [progress]: [ 69 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt (sin th)))))>
11.596 * * * * [progress]: [ 70 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sqrt (sin th)) (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt (sin th)))))>
11.596 * * * * [progress]: [ 71 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ 1 (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))))>
11.596 * * * * [progress]: [ 72 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))>
11.596 * * * * [progress]: [ 73 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.596 * * * * [progress]: [ 74 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (log1p (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.596 * * * * [progress]: [ 75 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (expm1 (log1p (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.596 * * * * [progress]: [ 76 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (pow (/ (hypot (sin ky) (sin kx)) (sin ky)) 1)))>
11.596 * * * * [progress]: [ 77 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (exp (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))))>
11.596 * * * * [progress]: [ 78 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (exp (log (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.596 * * * * [progress]: [ 79 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (log (exp (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.596 * * * * [progress]: [ 80 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (cbrt (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))))>
11.596 * * * * [progress]: [ 81 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.596 * * * * [progress]: [ 82 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (cbrt (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.597 * * * * [progress]: [ 83 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.597 * * * * [progress]: [ 84 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (- (hypot (sin ky) (sin kx))) (- (sin ky)))))>
11.597 * * * * [progress]: [ 85 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.597 * * * * [progress]: [ 86 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.597 * * * * [progress]: [ 87 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.597 * * * * [progress]: [ 88 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>
11.597 * * * * [progress]: [ 89 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))))>
11.597 * * * * [progress]: [ 90 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ (sqrt (hypot (sin ky) (sin kx))) 1) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))>
11.597 * * * * [progress]: [ 91 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))))>
11.597 * * * * [progress]: [ 92 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ 1 (sqrt (sin ky))) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))))>
11.597 * * * * [progress]: [ 93 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (/ 1 1) (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.597 * * * * [progress]: [ 94 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))))>
11.597 * * * * [progress]: [ 95 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (hypot (sin ky) (sin kx)) (/ 1 (sin ky)))))>
11.597 * * * * [progress]: [ 96 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
11.597 * * * * [progress]: [ 97 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky)))) (cbrt (sin ky)))))>
11.598 * * * * [progress]: [ 98 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))) (sqrt (sin ky)))))>
11.598 * * * * [progress]: [ 99 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (/ (hypot (sin ky) (sin kx)) 1) (sin ky))))>
11.598 * * * * [progress]: [ 100 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (/ (sin ky) (cbrt (hypot (sin ky) (sin kx)))))))>
11.598 * * * * [progress]: [ 101 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))>
11.598 * * * * [progress]: [ 102 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ 1 (/ (sin ky) (hypot (sin ky) (sin kx))))))>
11.598 * * * * [progress]: [ 103 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))>
11.598 * * * * [progress]: [ 104 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (log1p (expm1 (hypot (sin ky) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 105 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (expm1 (log1p (hypot (sin ky) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 106 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 107 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (pow (hypot (sin ky) (sin kx)) 1) (sin ky))))>
11.598 * * * * [progress]: [ 108 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (exp (log (hypot (sin ky) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 109 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (log (exp (hypot (sin ky) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 110 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 111 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (cbrt (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 112 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* (sqrt (hypot (sin ky) (sin kx))) (sqrt (hypot (sin ky) (sin kx)))) (sin ky))))>
11.598 * * * * [progress]: [ 113 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (* 1 (hypot (sin ky) (sin kx))) (sin ky))))>
11.598 * * * * [progress]: [ 114 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))>
11.599 * * * * [progress]: [ 115 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* 1/6 (* kx (* ky th))))>
11.599 * * * * [progress]: [ 116 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
11.599 * * * * [progress]: [ 117 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
11.599 * * * * [progress]: [ 118 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))))>
11.599 * * * * [progress]: [ 119 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))))>
11.599 * * * * [progress]: [ 120 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))))>
11.599 * * * * [progress]: [ 121 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3))) (sin ky))))>
11.599 * * * * [progress]: [ 122 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky))))>
11.599 * * * * [progress]: [ 123 / 123 ] simplifiying candidate #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (sin ky))))>
11.602 * [simplify]: Simplifying:
  (expm1 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log1p (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- (log (sin th)) (- (log (hypot (sin ky) (sin kx))) (log (sin ky))))
  (- (log (sin th)) (log (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (log (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (exp (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (* (sin th) (sin th)) (sin th)) (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky))))
  (/ (* (* (sin th) (sin th)) (sin th)) (* (* (/ (hypot (sin ky) (sin kx)) (sin ky)) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (cbrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (* (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (sqrt (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (- (sin th))
  (- (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 (sqrt (sin ky))))
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ 1 1))
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) 1)
  (/ (cbrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx)))
  (/ (cbrt (sin th)) (/ 1 (sin ky)))
  (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ (sqrt (sin th)) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ (sqrt (sin th)) (/ 1 (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ (sqrt (sin th)) (/ 1 1))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt (sin th)) 1)
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))
  (/ (sqrt (sin th)) (/ 1 (sin ky)))
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sin th) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ 1 (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (/ 1 (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky))))
  (/ 1 (/ 1 (sqrt (sin ky))))
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky))))
  (/ 1 (/ 1 1))
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 1)
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ 1 (hypot (sin ky) (sin kx)))
  (/ (sin th) (/ 1 (sin ky)))
  (/ 1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))
  (/ (sin th) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky))))
  (/ (sin th) (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) 1))
  (/ (sin th) (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky)))))
  (/ (sin th) (/ 1 (sqrt (sin ky))))
  (/ (sin th) (/ 1 1))
  (/ (sin th) 1)
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (cbrt (sin th)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt (sin th)))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sin th))
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (log (hypot (sin ky) (sin kx))) (log (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (exp (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx))) (* (* (sin ky) (sin ky)) (sin ky)))
  (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (cbrt (/ (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)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (hypot (sin ky) (sin kx)))
  (- (sin ky))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (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)))
  (/ (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))) 1)
  (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (sqrt (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))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) 1)
  (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ 1 (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ 1 1)
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) 1)
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))
  (log (hypot (sin ky) (sin kx)))
  (exp (hypot (sin ky) (sin kx)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (cbrt (hypot (sin ky) (sin kx)))
  (* (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))) (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (sqrt (hypot (sin ky) (sin kx)))
  (real->posit16 (hypot (sin ky) (sin kx)))
  (* 1/6 (* kx (* ky th)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (- (+ (/ kx ky) (* 1/4 (* kx ky))) (* 1/6 (/ (pow kx 3) ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
  (* (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) (/ 1 (sin ky)))
  (- (+ (* 1/12 (* kx (pow ky 2))) kx) (* 1/6 (pow kx 3)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
  (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
11.606 * * [simplify]: iteration 0: 203 enodes
11.668 * * [simplify]: iteration 1: 482 enodes
11.879 * * [simplify]: iteration 2: 1475 enodes
12.594 * * [simplify]: iteration complete: 5001 enodes
12.594 * * [simplify]: Extracting #0: cost 141 inf + 0
12.598 * * [simplify]: Extracting #1: cost 1134 inf + 1
12.605 * * [simplify]: Extracting #2: cost 1601 inf + 20188
12.641 * * [simplify]: Extracting #3: cost 753 inf + 249202
12.751 * * [simplify]: Extracting #4: cost 112 inf + 478165
12.876 * * [simplify]: Extracting #5: cost 5 inf + 518617
12.994 * * [simplify]: Extracting #6: cost 0 inf + 520183
13.095 * [simplify]: Simplified to:
  (expm1 (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log1p (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (log (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (exp (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (* (cbrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))) (cbrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (cbrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))))
  (sqrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (sqrt (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (- (sin th))
  (- (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (cbrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))
  (* (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (* (sqrt (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx))))))
  (* (sqrt (sin ky)) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))))
  (* (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (cbrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (* (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) (cbrt (sin ky))) (cbrt (sin ky)))
  (* (cbrt (sin ky)) (/ (cbrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))))
  (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (* (/ (cbrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin th)) (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (cbrt (sin ky)) (/ (cbrt (sin th)) (hypot (sin ky) (sin kx))))
  (* (* (cbrt (sin th)) (cbrt (sin th))) (sqrt (sin ky)))
  (* (cbrt (sin th)) (/ (sqrt (sin ky)) (hypot (sin ky) (sin kx))))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (/ (* (cbrt (sin th)) (sin ky)) (hypot (sin ky) (sin kx)))
  (* (cbrt (sin th)) (cbrt (sin th)))
  (/ (* (cbrt (sin th)) (sin ky)) (hypot (sin ky) (sin kx)))
  (/ (* (cbrt (sin th)) (cbrt (sin th))) (hypot (sin ky) (sin kx)))
  (* (sin ky) (cbrt (sin th)))
  (/ (sqrt (sin th)) (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sqrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sqrt (sin th)) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (* (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (/ (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (* (sqrt (sin th)) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (/ (sqrt (sin th)) (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin th)) (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky)))
  (* (/ (sqrt (sin th)) (sqrt (hypot (sin ky) (sin kx)))) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (* (sqrt (sin th)) (cbrt (sin ky))) (sqrt (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)) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))
  (* (sqrt (sin th)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (* (sqrt (sin th)) (sqrt (sin ky)))
  (* (sqrt (sin ky)) (/ (sqrt (sin th)) (hypot (sin ky) (sin kx))))
  (sqrt (sin th))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (sin th))
  (/ (sqrt (sin th)) (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (/ (sqrt (sin th)) (hypot (sin ky) (sin kx)))
  (* (sin ky) (sqrt (sin th)))
  (/ 1 (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))))
  (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ 1 (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (* (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))) (/ (cbrt (sin ky)) (cbrt (hypot (sin ky) (sin kx)))))
  (* (cbrt (sin ky)) (/ (sin th) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (sqrt (sin ky)) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (/ (* (sin th) (sqrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (/ 1 (cbrt (hypot (sin ky) (sin kx)))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (sin ky)) (cbrt (hypot (sin ky) (sin kx))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sqrt (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (/ (sin th) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ 1 (sqrt (hypot (sin ky) (sin kx))))
  (/ (* (sin th) (sin ky)) (sqrt (hypot (sin ky) (sin kx))))
  (* (cbrt (sin ky)) (cbrt (sin ky)))
  (/ (* (sin th) (cbrt (sin ky))) (hypot (sin ky) (sin kx)))
  (sqrt (sin ky))
  (* (sqrt (sin ky)) (/ (sin th) (hypot (sin ky) (sin kx))))
  1
  (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))
  1
  (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky))
  (/ 1 (hypot (sin ky) (sin kx)))
  (* (sin th) (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (sin th) (sin ky)))
  (/ (/ (sin th) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (/ (sin th) (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))))
  (/ (sin th) (* (cbrt (hypot (sin ky) (sin kx))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))))
  (/ (sin th) (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx)))))
  (* (/ (* (sin th) (cbrt (sin ky))) (sqrt (hypot (sin ky) (sin kx)))) (cbrt (sin ky)))
  (* (/ (sin th) (sqrt (hypot (sin ky) (sin kx)))) (sqrt (sin ky)))
  (/ (sin th) (sqrt (hypot (sin ky) (sin kx))))
  (* (sin th) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (* (sin th) (sqrt (sin ky)))
  (sin th)
  (sin th)
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (/ (/ (hypot (sin ky) (sin kx)) (cbrt (sin th))) (sin ky))
  (/ (/ (hypot (sin ky) (sin kx)) (sin ky)) (sqrt (sin th)))
  (/ (hypot (sin ky) (sin kx)) (* (sin th) (sin ky)))
  (/ (sin th) (hypot (sin ky) (sin kx)))
  (real->posit16 (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))
  (expm1 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log1p (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (log (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (exp (/ (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)) (sin ky))))
  (* (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))
  (cbrt (/ (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)) (sin ky))))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (sqrt (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (- (hypot (sin ky) (sin kx)))
  (- (sin ky))
  (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (* (cbrt (hypot (sin ky) (sin kx))) (cbrt (hypot (sin ky) (sin kx))))
  (/ (cbrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (/ (sqrt (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))) (sqrt (sin ky)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sqrt (sin ky)))
  (sqrt (hypot (sin ky) (sin kx)))
  (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky))
  (/ (/ 1 (cbrt (sin ky))) (cbrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (cbrt (sin ky)))
  (/ 1 (sqrt (sin ky)))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  1
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ 1 (sin ky))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (/ (hypot (sin ky) (sin kx)) (* (cbrt (sin ky)) (cbrt (sin ky))))
  (/ (hypot (sin ky) (sin kx)) (sqrt (sin ky)))
  (hypot (sin ky) (sin kx))
  (/ (sin ky) (cbrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (sqrt (hypot (sin ky) (sin kx))))
  (/ (sin ky) (hypot (sin ky) (sin kx)))
  (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky)))
  (expm1 (hypot (sin ky) (sin kx)))
  (log1p (hypot (sin ky) (sin kx)))
  (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (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)))
  (* kx (* (* th ky) 1/6))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))))))
  (* (* (sin th) (sin ky)) (sqrt (/ 1 (* (hypot (sin ky) (sin kx)) (hypot (sin ky) (sin kx))))))
  (fma (/ kx (/ (/ ky kx) kx)) -1/6 (fma (* kx ky) 1/4 (/ kx ky)))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (/ (hypot (sin ky) (sin kx)) (sin ky))
  (fma -1/6 (* (* kx kx) kx) (fma (* ky (* ky kx)) 1/12 kx))
  (hypot (sin ky) (sin kx))
  (hypot (sin ky) (sin kx))
13.111 * * * [progress]: adding candidates to table
13.967 * * [progress]: iteration 4 / 4
13.967 * * * [progress]: picking best candidate
14.087 * * * * [pick]: Picked  #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))>
14.087 * * * [progress]: localizing error
14.125 * * * [progress]: generating rewritten candidates
14.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
14.125 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
14.133 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
14.142 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
14.143 * * * [progress]: generating series expansions
14.143 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
14.143 * [backup-simplify]: Simplify (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) into (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
14.143 * [approximate]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in (ky kx) around 0
14.143 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
14.143 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
14.143 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
14.143 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
14.143 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.143 * [taylor]: Taking taylor expansion of ky in kx
14.143 * [backup-simplify]: Simplify ky into ky
14.143 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.143 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.143 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
14.143 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.143 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
14.143 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
14.143 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.143 * [taylor]: Taking taylor expansion of kx in kx
14.143 * [backup-simplify]: Simplify 0 into 0
14.143 * [backup-simplify]: Simplify 1 into 1
14.143 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.143 * [taylor]: Taking taylor expansion of kx in kx
14.143 * [backup-simplify]: Simplify 0 into 0
14.143 * [backup-simplify]: Simplify 1 into 1
14.143 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
14.143 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.143 * [taylor]: Taking taylor expansion of ky in kx
14.143 * [backup-simplify]: Simplify ky into ky
14.143 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.143 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.143 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.143 * [taylor]: Taking taylor expansion of ky in kx
14.143 * [backup-simplify]: Simplify ky into ky
14.144 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.144 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.144 * [backup-simplify]: Simplify (* 0 0) into 0
14.144 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.144 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.144 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.144 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.144 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.144 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.144 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.145 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
14.145 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
14.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.146 * [backup-simplify]: Simplify (+ 0) into 0
14.146 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.147 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.148 * [backup-simplify]: Simplify (+ 0 0) into 0
14.148 * [backup-simplify]: Simplify (+ 0) into 0
14.148 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.149 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.149 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.150 * [backup-simplify]: Simplify (+ 0 0) into 0
14.150 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.150 * [backup-simplify]: Simplify (+ 0 0) into 0
14.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
14.150 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.150 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.150 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.150 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
14.150 * [backup-simplify]: Simplify (exp 1) into E
14.150 * [taylor]: Taking taylor expansion of 1 in kx
14.150 * [backup-simplify]: Simplify 1 into 1
14.150 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
14.150 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
14.150 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
14.150 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
14.150 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.150 * [taylor]: Taking taylor expansion of ky in ky
14.150 * [backup-simplify]: Simplify 0 into 0
14.150 * [backup-simplify]: Simplify 1 into 1
14.150 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
14.150 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.151 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
14.151 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.151 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.151 * [taylor]: Taking taylor expansion of kx in ky
14.151 * [backup-simplify]: Simplify kx into kx
14.151 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.151 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.151 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.151 * [taylor]: Taking taylor expansion of kx in ky
14.151 * [backup-simplify]: Simplify kx into kx
14.151 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.151 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.151 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.151 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.151 * [taylor]: Taking taylor expansion of ky in ky
14.151 * [backup-simplify]: Simplify 0 into 0
14.151 * [backup-simplify]: Simplify 1 into 1
14.151 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.151 * [taylor]: Taking taylor expansion of ky in ky
14.151 * [backup-simplify]: Simplify 0 into 0
14.151 * [backup-simplify]: Simplify 1 into 1
14.151 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.151 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.151 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.151 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.151 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.151 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.151 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.151 * [backup-simplify]: Simplify (* 0 0) into 0
14.151 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
14.152 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.152 * [backup-simplify]: Simplify (+ 0) into 0
14.152 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.153 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.153 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.153 * [backup-simplify]: Simplify (+ 0 0) into 0
14.153 * [backup-simplify]: Simplify (+ 0) into 0
14.154 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.155 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.155 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.155 * [backup-simplify]: Simplify (+ 0 0) into 0
14.155 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.157 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.158 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.158 * [backup-simplify]: Simplify (+ 0 0) into 0
14.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.159 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.159 * [backup-simplify]: Simplify (exp 0) into 1
14.159 * [taylor]: Taking taylor expansion of 1 in ky
14.159 * [backup-simplify]: Simplify 1 into 1
14.159 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
14.159 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
14.159 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
14.159 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
14.159 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.159 * [taylor]: Taking taylor expansion of ky in ky
14.159 * [backup-simplify]: Simplify 0 into 0
14.159 * [backup-simplify]: Simplify 1 into 1
14.159 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
14.159 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.159 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
14.159 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.159 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.159 * [taylor]: Taking taylor expansion of kx in ky
14.159 * [backup-simplify]: Simplify kx into kx
14.159 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.160 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.160 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.160 * [taylor]: Taking taylor expansion of kx in ky
14.160 * [backup-simplify]: Simplify kx into kx
14.160 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.160 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.160 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.160 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.160 * [taylor]: Taking taylor expansion of ky in ky
14.160 * [backup-simplify]: Simplify 0 into 0
14.160 * [backup-simplify]: Simplify 1 into 1
14.160 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.160 * [taylor]: Taking taylor expansion of ky in ky
14.160 * [backup-simplify]: Simplify 0 into 0
14.160 * [backup-simplify]: Simplify 1 into 1
14.160 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.160 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.160 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.160 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.160 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.160 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.160 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.161 * [backup-simplify]: Simplify (* 0 0) into 0
14.161 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
14.161 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.161 * [backup-simplify]: Simplify (+ 0) into 0
14.162 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.163 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.164 * [backup-simplify]: Simplify (+ 0 0) into 0
14.164 * [backup-simplify]: Simplify (+ 0) into 0
14.164 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.165 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.166 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.166 * [backup-simplify]: Simplify (+ 0 0) into 0
14.166 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.167 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.168 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.169 * [backup-simplify]: Simplify (+ 0 0) into 0
14.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.169 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.169 * [backup-simplify]: Simplify (exp 0) into 1
14.170 * [taylor]: Taking taylor expansion of 1 in ky
14.170 * [backup-simplify]: Simplify 1 into 1
14.170 * [backup-simplify]: Simplify (- 1) into -1
14.171 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.171 * [taylor]: Taking taylor expansion of 0 in kx
14.171 * [backup-simplify]: Simplify 0 into 0
14.171 * [backup-simplify]: Simplify 0 into 0
14.171 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 1) 1)))) into (/ 1 (sin kx))
14.172 * [backup-simplify]: Simplify (- 0) into 0
14.172 * [backup-simplify]: Simplify (+ (/ 1 (sin kx)) 0) into (/ 1 (sin kx))
14.172 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.172 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.172 * [taylor]: Taking taylor expansion of kx in kx
14.172 * [backup-simplify]: Simplify 0 into 0
14.172 * [backup-simplify]: Simplify 1 into 1
14.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.173 * [backup-simplify]: Simplify (/ 1 1) into 1
14.174 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.175 * [backup-simplify]: Simplify 0 into 0
14.175 * [backup-simplify]: Simplify 0 into 0
14.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.176 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
14.177 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (sin kx) 2))
14.177 * [backup-simplify]: Simplify (- 0) into 0
14.177 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sin kx) 2)) 0) into (* 1/2 (/ 1 (pow (sin kx) 2)))
14.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 2))) in kx
14.177 * [taylor]: Taking taylor expansion of 1/2 in kx
14.177 * [backup-simplify]: Simplify 1/2 into 1/2
14.177 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
14.177 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
14.177 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.177 * [taylor]: Taking taylor expansion of kx in kx
14.177 * [backup-simplify]: Simplify 0 into 0
14.177 * [backup-simplify]: Simplify 1 into 1
14.178 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.179 * [backup-simplify]: Simplify (* 1 1) into 1
14.179 * [backup-simplify]: Simplify (/ 1 1) into 1
14.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.182 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
14.186 * [backup-simplify]: Simplify (+ (* 1/2 1/3) (+ (* 0 0) (* 0 1))) into 1/6
14.186 * [backup-simplify]: Simplify 1/6 into 1/6
14.188 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
14.189 * [backup-simplify]: Simplify 1/6 into 1/6
14.189 * [backup-simplify]: Simplify 0 into 0
14.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.193 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.194 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.194 * [backup-simplify]: Simplify (+ 0 0) into 0
14.195 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.196 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.197 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.197 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.198 * [backup-simplify]: Simplify (+ 0 0) into 0
14.198 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
14.199 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.200 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.201 * [backup-simplify]: Simplify (+ 0 1) into 1
14.202 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
14.203 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
14.204 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 3) 6)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)))) into (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
14.204 * [backup-simplify]: Simplify (- 0) into 0
14.205 * [backup-simplify]: Simplify (+ (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3))))) 0) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
14.205 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3))))) in kx
14.205 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))) in kx
14.205 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
14.205 * [taylor]: Taking taylor expansion of 1/6 in kx
14.205 * [backup-simplify]: Simplify 1/6 into 1/6
14.205 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.205 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.205 * [taylor]: Taking taylor expansion of kx in kx
14.205 * [backup-simplify]: Simplify 0 into 0
14.205 * [backup-simplify]: Simplify 1 into 1
14.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.206 * [backup-simplify]: Simplify (/ 1 1) into 1
14.206 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow (sin kx) 3))) in kx
14.206 * [taylor]: Taking taylor expansion of 1/3 in kx
14.206 * [backup-simplify]: Simplify 1/3 into 1/3
14.206 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
14.206 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
14.206 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.206 * [taylor]: Taking taylor expansion of kx in kx
14.206 * [backup-simplify]: Simplify 0 into 0
14.206 * [backup-simplify]: Simplify 1 into 1
14.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.207 * [backup-simplify]: Simplify (* 1 1) into 1
14.208 * [backup-simplify]: Simplify (* 1 1) into 1
14.208 * [backup-simplify]: Simplify (/ 1 1) into 1
14.209 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.210 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
14.212 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.213 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
14.216 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
14.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.227 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
14.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
14.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
14.232 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
14.232 * [backup-simplify]: Simplify (+ 0 0) into 0
14.233 * [backup-simplify]: Simplify (- 0) into 0
14.233 * [backup-simplify]: Simplify 0 into 0
14.234 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
14.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/3 1)) (* 1/3 (/ 0 1)))) into 0
14.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/3) (+ (* 0 0) (* 0 1)))) into 0
14.238 * [backup-simplify]: Simplify 0 into 0
14.239 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
14.240 * [backup-simplify]: Simplify 0 into 0
14.240 * [backup-simplify]: Simplify 0 into 0
14.241 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.241 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.242 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.243 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.243 * [backup-simplify]: Simplify (+ 0 0) into 0
14.244 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.244 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.245 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.246 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.246 * [backup-simplify]: Simplify (+ 0 0) into 0
14.246 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
14.247 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.248 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.249 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
14.249 * [backup-simplify]: Simplify (+ 0 0) into 0
14.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
14.250 * [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
14.252 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 4) 24)) (* (/ (pow (/ 1 (sin kx)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
14.252 * [backup-simplify]: Simplify (- 0) into 0
14.253 * [backup-simplify]: Simplify (+ (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2))))) 0) into (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
14.253 * [taylor]: Taking taylor expansion of (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2))))) in kx
14.253 * [taylor]: Taking taylor expansion of (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))) in kx
14.253 * [taylor]: Taking taylor expansion of (* 11/24 (/ 1 (pow (sin kx) 4))) in kx
14.253 * [taylor]: Taking taylor expansion of 11/24 in kx
14.253 * [backup-simplify]: Simplify 11/24 into 11/24
14.253 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 4)) in kx
14.253 * [taylor]: Taking taylor expansion of (pow (sin kx) 4) in kx
14.253 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.253 * [taylor]: Taking taylor expansion of kx in kx
14.253 * [backup-simplify]: Simplify 0 into 0
14.253 * [backup-simplify]: Simplify 1 into 1
14.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.254 * [backup-simplify]: Simplify (* 1 1) into 1
14.255 * [backup-simplify]: Simplify (* 1 1) into 1
14.255 * [backup-simplify]: Simplify (/ 1 1) into 1
14.255 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow (sin kx) 2))) in kx
14.255 * [taylor]: Taking taylor expansion of 1/6 in kx
14.255 * [backup-simplify]: Simplify 1/6 into 1/6
14.255 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 2)) in kx
14.255 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx
14.255 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.255 * [taylor]: Taking taylor expansion of kx in kx
14.255 * [backup-simplify]: Simplify 0 into 0
14.255 * [backup-simplify]: Simplify 1 into 1
14.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.256 * [backup-simplify]: Simplify (* 1 1) into 1
14.257 * [backup-simplify]: Simplify (/ 1 1) into 1
14.260 * [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
14.261 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.263 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.266 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
14.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
14.269 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.271 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/3 -1/3) (+ (* 0 0) (* 2/45 1))))) into 1/5
14.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/3 0) (* 0 1)))) into 0
14.274 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/3 1))) into -2/3
14.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ -2/3 1)) (* 0 (/ 0 1)))) into 2/3
14.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -2/3 1)) (* 2/3 (/ 0 1)))) into 0
14.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/5 1)) (* 0 (/ 0 1)) (* 2/3 (/ -2/3 1)) (* 0 (/ 0 1)))) into 11/45
14.280 * [backup-simplify]: Simplify (+ (* 11/24 11/45) (+ (* 0 0) (+ (* 0 2/3) (+ (* 0 0) (* 0 1))))) into 121/1080
14.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.283 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.284 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/3 1)) (* 0 (/ 0 1)))) into 1/3
14.288 * [backup-simplify]: Simplify (+ (* 1/6 1/3) (+ (* 0 0) (* 0 1))) into 1/18
14.288 * [backup-simplify]: Simplify (+ 121/1080 1/18) into 181/1080
14.288 * [backup-simplify]: Simplify (- 181/1080) into -181/1080
14.288 * [backup-simplify]: Simplify -181/1080 into -181/1080
14.289 * [backup-simplify]: Simplify (+ (* -181/1080 (pow (* 1 ky) 4)) (+ (* 1/6 (* kx ky)) (* 1/6 (pow (* 1 ky) 2)))) into (- (+ (* 1/6 (pow ky 2)) (* 1/6 (* kx ky))) (* 181/1080 (pow ky 4)))
14.289 * [backup-simplify]: Simplify (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) into (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))
14.289 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in (ky kx) around 0
14.289 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
14.289 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
14.289 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
14.289 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
14.289 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.289 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.289 * [taylor]: Taking taylor expansion of ky in kx
14.289 * [backup-simplify]: Simplify ky into ky
14.290 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.290 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.290 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.290 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
14.290 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.290 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
14.290 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
14.290 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.290 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.290 * [taylor]: Taking taylor expansion of kx in kx
14.290 * [backup-simplify]: Simplify 0 into 0
14.290 * [backup-simplify]: Simplify 1 into 1
14.290 * [backup-simplify]: Simplify (/ 1 1) into 1
14.290 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.290 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.290 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.290 * [taylor]: Taking taylor expansion of kx in kx
14.291 * [backup-simplify]: Simplify 0 into 0
14.291 * [backup-simplify]: Simplify 1 into 1
14.291 * [backup-simplify]: Simplify (/ 1 1) into 1
14.291 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.291 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
14.291 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.291 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.291 * [taylor]: Taking taylor expansion of ky in kx
14.291 * [backup-simplify]: Simplify ky into ky
14.291 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.291 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.291 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.291 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.291 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.291 * [taylor]: Taking taylor expansion of ky in kx
14.291 * [backup-simplify]: Simplify ky into ky
14.291 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.292 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.292 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.292 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.292 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.292 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.292 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.292 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.292 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.292 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.292 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.293 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.293 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.293 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.293 * [backup-simplify]: Simplify (+ 0) into 0
14.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.295 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.295 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.296 * [backup-simplify]: Simplify (+ 0 0) into 0
14.296 * [backup-simplify]: Simplify (+ 0) into 0
14.296 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.297 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.298 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.298 * [backup-simplify]: Simplify (+ 0 0) into 0
14.298 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.299 * [backup-simplify]: Simplify (+ 0 0) into 0
14.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.299 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.299 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.299 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.300 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.300 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.300 * [taylor]: Taking taylor expansion of 1 in kx
14.300 * [backup-simplify]: Simplify 1 into 1
14.300 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
14.300 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
14.300 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
14.300 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
14.300 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.300 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.300 * [taylor]: Taking taylor expansion of ky in ky
14.300 * [backup-simplify]: Simplify 0 into 0
14.300 * [backup-simplify]: Simplify 1 into 1
14.301 * [backup-simplify]: Simplify (/ 1 1) into 1
14.301 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.301 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
14.301 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.301 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
14.301 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.301 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.301 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.301 * [taylor]: Taking taylor expansion of kx in ky
14.301 * [backup-simplify]: Simplify kx into kx
14.301 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.301 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.301 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.301 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.301 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.301 * [taylor]: Taking taylor expansion of kx in ky
14.301 * [backup-simplify]: Simplify kx into kx
14.301 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.301 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.301 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.301 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.302 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.302 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.302 * [taylor]: Taking taylor expansion of ky in ky
14.302 * [backup-simplify]: Simplify 0 into 0
14.302 * [backup-simplify]: Simplify 1 into 1
14.302 * [backup-simplify]: Simplify (/ 1 1) into 1
14.302 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.302 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.302 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.302 * [taylor]: Taking taylor expansion of ky in ky
14.302 * [backup-simplify]: Simplify 0 into 0
14.302 * [backup-simplify]: Simplify 1 into 1
14.303 * [backup-simplify]: Simplify (/ 1 1) into 1
14.303 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.303 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.303 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.303 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.303 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.303 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.303 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.303 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.303 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.304 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.304 * [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)))
14.304 * [backup-simplify]: Simplify (+ 0) into 0
14.305 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.307 * [backup-simplify]: Simplify (+ 0 0) into 0
14.307 * [backup-simplify]: Simplify (+ 0) into 0
14.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.308 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.309 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.309 * [backup-simplify]: Simplify (+ 0 0) into 0
14.309 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.309 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.310 * [backup-simplify]: Simplify (+ 0 0) into 0
14.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.310 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.311 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.311 * [taylor]: Taking taylor expansion of 1 in ky
14.311 * [backup-simplify]: Simplify 1 into 1
14.311 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
14.311 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
14.311 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
14.311 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
14.311 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.311 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.311 * [taylor]: Taking taylor expansion of ky in ky
14.311 * [backup-simplify]: Simplify 0 into 0
14.311 * [backup-simplify]: Simplify 1 into 1
14.312 * [backup-simplify]: Simplify (/ 1 1) into 1
14.312 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.312 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
14.312 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.312 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
14.312 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.312 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.312 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.312 * [taylor]: Taking taylor expansion of kx in ky
14.312 * [backup-simplify]: Simplify kx into kx
14.312 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.312 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.312 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.312 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.312 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.312 * [taylor]: Taking taylor expansion of kx in ky
14.312 * [backup-simplify]: Simplify kx into kx
14.312 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.312 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.313 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.313 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.313 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.313 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.313 * [taylor]: Taking taylor expansion of ky in ky
14.313 * [backup-simplify]: Simplify 0 into 0
14.313 * [backup-simplify]: Simplify 1 into 1
14.313 * [backup-simplify]: Simplify (/ 1 1) into 1
14.313 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.313 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.313 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.313 * [taylor]: Taking taylor expansion of ky in ky
14.313 * [backup-simplify]: Simplify 0 into 0
14.313 * [backup-simplify]: Simplify 1 into 1
14.314 * [backup-simplify]: Simplify (/ 1 1) into 1
14.314 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.314 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.314 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.314 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.314 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.314 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.314 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.314 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.315 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.315 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.315 * [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)))
14.315 * [backup-simplify]: Simplify (+ 0) into 0
14.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.317 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.318 * [backup-simplify]: Simplify (+ 0 0) into 0
14.318 * [backup-simplify]: Simplify (+ 0) into 0
14.318 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.319 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.320 * [backup-simplify]: Simplify (+ 0 0) into 0
14.320 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.320 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.321 * [backup-simplify]: Simplify (+ 0 0) into 0
14.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.321 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.322 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.322 * [taylor]: Taking taylor expansion of 1 in ky
14.322 * [backup-simplify]: Simplify 1 into 1
14.322 * [backup-simplify]: Simplify (- 1) into -1
14.323 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
14.323 * [taylor]: Taking taylor expansion of (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1) in kx
14.323 * [taylor]: Taking taylor expansion of (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) in kx
14.323 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
14.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
14.323 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
14.323 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
14.323 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
14.323 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.323 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.323 * [taylor]: Taking taylor expansion of kx in kx
14.323 * [backup-simplify]: Simplify 0 into 0
14.323 * [backup-simplify]: Simplify 1 into 1
14.324 * [backup-simplify]: Simplify (/ 1 1) into 1
14.324 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.324 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
14.324 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.324 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.324 * [taylor]: Taking taylor expansion of ky in kx
14.324 * [backup-simplify]: Simplify ky into ky
14.324 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.324 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.324 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.324 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.324 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.324 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.324 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.325 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.325 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.325 * [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)))
14.325 * [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))))
14.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.326 * [backup-simplify]: Simplify (+ 0) into 0
14.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.328 * [backup-simplify]: Simplify (+ 0 0) into 0
14.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.329 * [backup-simplify]: Simplify (+ 0 0) into 0
14.329 * [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
14.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.330 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.330 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.330 * [taylor]: Taking taylor expansion of ky in kx
14.330 * [backup-simplify]: Simplify ky into ky
14.330 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.330 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.330 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.330 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.330 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.330 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.331 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.331 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.331 * [taylor]: Taking taylor expansion of 1 in kx
14.331 * [backup-simplify]: Simplify 1 into 1
14.331 * [backup-simplify]: Simplify (- 1) into -1
14.332 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
14.332 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
14.333 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.334 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.335 * [backup-simplify]: Simplify (- 0) into 0
14.335 * [backup-simplify]: Simplify (+ 0 0) into 0
14.335 * [taylor]: Taking taylor expansion of 0 in kx
14.335 * [backup-simplify]: Simplify 0 into 0
14.335 * [backup-simplify]: Simplify 0 into 0
14.336 * [backup-simplify]: Simplify (+ 0) into 0
14.336 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.337 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.338 * [backup-simplify]: Simplify (+ 0 0) into 0
14.338 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
14.340 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.340 * [backup-simplify]: Simplify (- 0) into 0
14.341 * [backup-simplify]: Simplify (+ 0 0) into 0
14.341 * [backup-simplify]: Simplify 0 into 0
14.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.343 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.344 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.345 * [backup-simplify]: Simplify (+ 0 0) into 0
14.345 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.347 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.348 * [backup-simplify]: Simplify (+ 0 0) into 0
14.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.350 * [backup-simplify]: Simplify (+ 0 0) into 0
14.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.351 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.353 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.354 * [backup-simplify]: Simplify (- 0) into 0
14.354 * [backup-simplify]: Simplify (+ 0 0) into 0
14.354 * [taylor]: Taking taylor expansion of 0 in kx
14.354 * [backup-simplify]: Simplify 0 into 0
14.354 * [backup-simplify]: Simplify 0 into 0
14.354 * [backup-simplify]: Simplify 0 into 0
14.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.356 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.357 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.358 * [backup-simplify]: Simplify (+ 0 0) into 0
14.358 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.359 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.361 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.362 * [backup-simplify]: Simplify (+ 0 0) into 0
14.362 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.362 * [backup-simplify]: Simplify (+ 0 0) into 0
14.363 * [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
14.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.364 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.369 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.369 * [backup-simplify]: Simplify (- 0) into 0
14.369 * [backup-simplify]: Simplify (+ 0 0) into 0
14.369 * [backup-simplify]: Simplify 0 into 0
14.370 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.371 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.372 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.372 * [backup-simplify]: Simplify (+ 0 0) into 0
14.373 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.373 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.374 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.375 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.375 * [backup-simplify]: Simplify (+ 0 0) into 0
14.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
14.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
14.376 * [backup-simplify]: Simplify (+ 0 0) into 0
14.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.377 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.379 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.379 * [backup-simplify]: Simplify (- 0) into 0
14.379 * [backup-simplify]: Simplify (+ 0 0) into 0
14.379 * [taylor]: Taking taylor expansion of 0 in kx
14.379 * [backup-simplify]: Simplify 0 into 0
14.379 * [backup-simplify]: Simplify 0 into 0
14.379 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 (/ 1 kx))) 2) (pow (sin (/ 1 (/ 1 ky))) 2)))) (sin (/ 1 (/ 1 ky))))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
14.379 * [backup-simplify]: Simplify (expm1 (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))))) into (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))
14.379 * [approximate]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in (ky kx) around 0
14.380 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
14.380 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
14.380 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
14.380 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
14.380 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.380 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.380 * [taylor]: Taking taylor expansion of -1 in kx
14.380 * [backup-simplify]: Simplify -1 into -1
14.380 * [taylor]: Taking taylor expansion of ky in kx
14.380 * [backup-simplify]: Simplify ky into ky
14.380 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.380 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.380 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.380 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
14.380 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.380 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
14.380 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
14.380 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.380 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.380 * [taylor]: Taking taylor expansion of -1 in kx
14.380 * [backup-simplify]: Simplify -1 into -1
14.380 * [taylor]: Taking taylor expansion of kx in kx
14.380 * [backup-simplify]: Simplify 0 into 0
14.380 * [backup-simplify]: Simplify 1 into 1
14.380 * [backup-simplify]: Simplify (/ -1 1) into -1
14.380 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.380 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.380 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.380 * [taylor]: Taking taylor expansion of -1 in kx
14.380 * [backup-simplify]: Simplify -1 into -1
14.380 * [taylor]: Taking taylor expansion of kx in kx
14.380 * [backup-simplify]: Simplify 0 into 0
14.380 * [backup-simplify]: Simplify 1 into 1
14.381 * [backup-simplify]: Simplify (/ -1 1) into -1
14.381 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.381 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
14.381 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.381 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.381 * [taylor]: Taking taylor expansion of -1 in kx
14.381 * [backup-simplify]: Simplify -1 into -1
14.381 * [taylor]: Taking taylor expansion of ky in kx
14.381 * [backup-simplify]: Simplify ky into ky
14.381 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.381 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.381 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.381 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.381 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.381 * [taylor]: Taking taylor expansion of -1 in kx
14.381 * [backup-simplify]: Simplify -1 into -1
14.381 * [taylor]: Taking taylor expansion of ky in kx
14.381 * [backup-simplify]: Simplify ky into ky
14.381 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.381 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.381 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.381 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.381 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.381 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.381 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.382 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.382 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.382 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.382 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.382 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.382 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.382 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.382 * [backup-simplify]: Simplify (+ 0) into 0
14.383 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.383 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.383 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.383 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.384 * [backup-simplify]: Simplify (+ 0 0) into 0
14.384 * [backup-simplify]: Simplify (+ 0) into 0
14.384 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.384 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.385 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.385 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.385 * [backup-simplify]: Simplify (+ 0 0) into 0
14.385 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.386 * [backup-simplify]: Simplify (+ 0 0) into 0
14.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.386 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.386 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.386 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.386 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.386 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.386 * [taylor]: Taking taylor expansion of 1 in kx
14.386 * [backup-simplify]: Simplify 1 into 1
14.386 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
14.386 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
14.387 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
14.387 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
14.387 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.387 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.387 * [taylor]: Taking taylor expansion of -1 in ky
14.387 * [backup-simplify]: Simplify -1 into -1
14.387 * [taylor]: Taking taylor expansion of ky in ky
14.387 * [backup-simplify]: Simplify 0 into 0
14.387 * [backup-simplify]: Simplify 1 into 1
14.387 * [backup-simplify]: Simplify (/ -1 1) into -1
14.387 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.387 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
14.387 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.387 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
14.387 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.387 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.387 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.387 * [taylor]: Taking taylor expansion of -1 in ky
14.387 * [backup-simplify]: Simplify -1 into -1
14.387 * [taylor]: Taking taylor expansion of kx in ky
14.387 * [backup-simplify]: Simplify kx into kx
14.387 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.387 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.387 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.387 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.387 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.387 * [taylor]: Taking taylor expansion of -1 in ky
14.387 * [backup-simplify]: Simplify -1 into -1
14.387 * [taylor]: Taking taylor expansion of kx in ky
14.387 * [backup-simplify]: Simplify kx into kx
14.387 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.387 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.388 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.388 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.388 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.388 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.388 * [taylor]: Taking taylor expansion of -1 in ky
14.388 * [backup-simplify]: Simplify -1 into -1
14.388 * [taylor]: Taking taylor expansion of ky in ky
14.388 * [backup-simplify]: Simplify 0 into 0
14.388 * [backup-simplify]: Simplify 1 into 1
14.388 * [backup-simplify]: Simplify (/ -1 1) into -1
14.388 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.388 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.388 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.388 * [taylor]: Taking taylor expansion of -1 in ky
14.388 * [backup-simplify]: Simplify -1 into -1
14.388 * [taylor]: Taking taylor expansion of ky in ky
14.388 * [backup-simplify]: Simplify 0 into 0
14.388 * [backup-simplify]: Simplify 1 into 1
14.389 * [backup-simplify]: Simplify (/ -1 1) into -1
14.389 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.389 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.389 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.389 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.389 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.389 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.389 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.389 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.389 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.389 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.389 * [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)))
14.390 * [backup-simplify]: Simplify (+ 0) into 0
14.390 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.390 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.390 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.391 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.391 * [backup-simplify]: Simplify (+ 0 0) into 0
14.391 * [backup-simplify]: Simplify (+ 0) into 0
14.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.392 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.392 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.393 * [backup-simplify]: Simplify (+ 0 0) into 0
14.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.393 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.393 * [backup-simplify]: Simplify (+ 0 0) into 0
14.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.393 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.394 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.394 * [taylor]: Taking taylor expansion of 1 in ky
14.394 * [backup-simplify]: Simplify 1 into 1
14.394 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
14.394 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
14.394 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
14.394 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
14.394 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.394 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.394 * [taylor]: Taking taylor expansion of -1 in ky
14.394 * [backup-simplify]: Simplify -1 into -1
14.394 * [taylor]: Taking taylor expansion of ky in ky
14.394 * [backup-simplify]: Simplify 0 into 0
14.394 * [backup-simplify]: Simplify 1 into 1
14.395 * [backup-simplify]: Simplify (/ -1 1) into -1
14.395 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.395 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
14.395 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.395 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
14.395 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.395 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.395 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.395 * [taylor]: Taking taylor expansion of -1 in ky
14.395 * [backup-simplify]: Simplify -1 into -1
14.395 * [taylor]: Taking taylor expansion of kx in ky
14.395 * [backup-simplify]: Simplify kx into kx
14.395 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.395 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.395 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.395 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.395 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.395 * [taylor]: Taking taylor expansion of -1 in ky
14.395 * [backup-simplify]: Simplify -1 into -1
14.395 * [taylor]: Taking taylor expansion of kx in ky
14.395 * [backup-simplify]: Simplify kx into kx
14.395 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.395 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.395 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.395 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.395 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.396 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.396 * [taylor]: Taking taylor expansion of -1 in ky
14.396 * [backup-simplify]: Simplify -1 into -1
14.396 * [taylor]: Taking taylor expansion of ky in ky
14.396 * [backup-simplify]: Simplify 0 into 0
14.396 * [backup-simplify]: Simplify 1 into 1
14.396 * [backup-simplify]: Simplify (/ -1 1) into -1
14.396 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.396 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.396 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.396 * [taylor]: Taking taylor expansion of -1 in ky
14.396 * [backup-simplify]: Simplify -1 into -1
14.396 * [taylor]: Taking taylor expansion of ky in ky
14.396 * [backup-simplify]: Simplify 0 into 0
14.396 * [backup-simplify]: Simplify 1 into 1
14.397 * [backup-simplify]: Simplify (/ -1 1) into -1
14.397 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.397 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.397 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.397 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.397 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.397 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.397 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.397 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.398 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.398 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.398 * [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)))
14.398 * [backup-simplify]: Simplify (+ 0) into 0
14.399 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.399 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.400 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.401 * [backup-simplify]: Simplify (+ 0 0) into 0
14.401 * [backup-simplify]: Simplify (+ 0) into 0
14.402 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.402 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.403 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.403 * [backup-simplify]: Simplify (+ 0 0) into 0
14.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.404 * [backup-simplify]: Simplify (+ 0 0) into 0
14.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.405 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.405 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.405 * [taylor]: Taking taylor expansion of 1 in ky
14.405 * [backup-simplify]: Simplify 1 into 1
14.406 * [backup-simplify]: Simplify (- 1) into -1
14.406 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
14.406 * [taylor]: Taking taylor expansion of (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1) in kx
14.406 * [taylor]: Taking taylor expansion of (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) in kx
14.406 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
14.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
14.406 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
14.406 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
14.406 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
14.406 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.406 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.406 * [taylor]: Taking taylor expansion of -1 in kx
14.406 * [backup-simplify]: Simplify -1 into -1
14.406 * [taylor]: Taking taylor expansion of kx in kx
14.406 * [backup-simplify]: Simplify 0 into 0
14.406 * [backup-simplify]: Simplify 1 into 1
14.407 * [backup-simplify]: Simplify (/ -1 1) into -1
14.407 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.407 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
14.407 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.407 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.407 * [taylor]: Taking taylor expansion of -1 in kx
14.407 * [backup-simplify]: Simplify -1 into -1
14.407 * [taylor]: Taking taylor expansion of ky in kx
14.407 * [backup-simplify]: Simplify ky into ky
14.407 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.407 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.407 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.407 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.408 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.408 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.408 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.408 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.408 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.408 * [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)))
14.409 * [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))))
14.409 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.409 * [backup-simplify]: Simplify (+ 0) into 0
14.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.410 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.411 * [backup-simplify]: Simplify (+ 0 0) into 0
14.411 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.411 * [backup-simplify]: Simplify (+ 0 0) into 0
14.411 * [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
14.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.411 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.412 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.412 * [taylor]: Taking taylor expansion of -1 in kx
14.412 * [backup-simplify]: Simplify -1 into -1
14.412 * [taylor]: Taking taylor expansion of ky in kx
14.412 * [backup-simplify]: Simplify ky into ky
14.412 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.412 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.412 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.412 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.412 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.412 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.412 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.412 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.412 * [taylor]: Taking taylor expansion of 1 in kx
14.412 * [backup-simplify]: Simplify 1 into 1
14.413 * [backup-simplify]: Simplify (- 1) into -1
14.413 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
14.413 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
14.414 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.414 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.414 * [backup-simplify]: Simplify (- 0) into 0
14.415 * [backup-simplify]: Simplify (+ 0 0) into 0
14.415 * [taylor]: Taking taylor expansion of 0 in kx
14.415 * [backup-simplify]: Simplify 0 into 0
14.415 * [backup-simplify]: Simplify 0 into 0
14.415 * [backup-simplify]: Simplify (+ 0) into 0
14.415 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.415 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.416 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.416 * [backup-simplify]: Simplify (+ 0 0) into 0
14.417 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
14.417 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.417 * [backup-simplify]: Simplify (- 0) into 0
14.418 * [backup-simplify]: Simplify (+ 0 0) into 0
14.418 * [backup-simplify]: Simplify 0 into 0
14.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.419 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.419 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.420 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.420 * [backup-simplify]: Simplify (+ 0 0) into 0
14.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.421 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.421 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.421 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.422 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.422 * [backup-simplify]: Simplify (+ 0 0) into 0
14.422 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
14.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.423 * [backup-simplify]: Simplify (+ 0 0) into 0
14.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.424 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.425 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.425 * [backup-simplify]: Simplify (- 0) into 0
14.425 * [backup-simplify]: Simplify (+ 0 0) into 0
14.425 * [taylor]: Taking taylor expansion of 0 in kx
14.425 * [backup-simplify]: Simplify 0 into 0
14.425 * [backup-simplify]: Simplify 0 into 0
14.425 * [backup-simplify]: Simplify 0 into 0
14.426 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.426 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.426 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.427 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.427 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.428 * [backup-simplify]: Simplify (+ 0 0) into 0
14.428 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
14.428 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.429 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.429 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.430 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.430 * [backup-simplify]: Simplify (+ 0 0) into 0
14.431 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.431 * [backup-simplify]: Simplify (+ 0 0) into 0
14.432 * [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
14.433 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.433 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.435 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.435 * [backup-simplify]: Simplify (- 0) into 0
14.436 * [backup-simplify]: Simplify (+ 0 0) into 0
14.436 * [backup-simplify]: Simplify 0 into 0
14.437 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.438 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.438 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.439 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.440 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.440 * [backup-simplify]: Simplify (+ 0 0) into 0
14.442 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.442 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.443 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.444 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.445 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.445 * [backup-simplify]: Simplify (+ 0 0) into 0
14.446 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
14.447 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
14.447 * [backup-simplify]: Simplify (+ 0 0) into 0
14.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.449 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.451 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.452 * [backup-simplify]: Simplify (- 0) into 0
14.452 * [backup-simplify]: Simplify (+ 0 0) into 0
14.452 * [taylor]: Taking taylor expansion of 0 in kx
14.452 * [backup-simplify]: Simplify 0 into 0
14.452 * [backup-simplify]: Simplify 0 into 0
14.453 * [backup-simplify]: Simplify (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 (/ 1 (- kx)))) 2) (pow (sin (/ -1 (/ 1 (- ky)))) 2)))) (sin (/ -1 (/ 1 (- ky)))))) 1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
14.453 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
14.453 * [backup-simplify]: Simplify (/ (sin ky) (hypot (sin kx) (sin ky))) into (/ (sin ky) (hypot (sin kx) (sin ky)))
14.453 * [approximate]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in (ky kx) around 0
14.453 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
14.453 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.453 * [taylor]: Taking taylor expansion of ky in kx
14.453 * [backup-simplify]: Simplify ky into ky
14.453 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.453 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.453 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
14.453 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.453 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
14.453 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
14.453 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.453 * [taylor]: Taking taylor expansion of kx in kx
14.454 * [backup-simplify]: Simplify 0 into 0
14.454 * [backup-simplify]: Simplify 1 into 1
14.454 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.454 * [taylor]: Taking taylor expansion of kx in kx
14.454 * [backup-simplify]: Simplify 0 into 0
14.454 * [backup-simplify]: Simplify 1 into 1
14.454 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
14.454 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.454 * [taylor]: Taking taylor expansion of ky in kx
14.454 * [backup-simplify]: Simplify ky into ky
14.454 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.454 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.454 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.454 * [taylor]: Taking taylor expansion of ky in kx
14.454 * [backup-simplify]: Simplify ky into ky
14.454 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.454 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.455 * [backup-simplify]: Simplify (* 0 0) into 0
14.455 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.455 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.455 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.455 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.455 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.455 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.455 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.455 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
14.455 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
14.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.457 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.457 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.458 * [backup-simplify]: Simplify (+ 0) into 0
14.458 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.460 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.460 * [backup-simplify]: Simplify (+ 0 0) into 0
14.460 * [backup-simplify]: Simplify (+ 0) into 0
14.461 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.462 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.462 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.463 * [backup-simplify]: Simplify (+ 0 0) into 0
14.463 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.463 * [backup-simplify]: Simplify (+ 0 0) into 0
14.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
14.463 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.464 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.464 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.464 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
14.464 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
14.464 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.464 * [taylor]: Taking taylor expansion of ky in ky
14.464 * [backup-simplify]: Simplify 0 into 0
14.464 * [backup-simplify]: Simplify 1 into 1
14.464 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
14.464 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.464 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
14.464 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.464 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.464 * [taylor]: Taking taylor expansion of kx in ky
14.464 * [backup-simplify]: Simplify kx into kx
14.464 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.464 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.464 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.464 * [taylor]: Taking taylor expansion of kx in ky
14.464 * [backup-simplify]: Simplify kx into kx
14.464 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.464 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.464 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.464 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.464 * [taylor]: Taking taylor expansion of ky in ky
14.464 * [backup-simplify]: Simplify 0 into 0
14.464 * [backup-simplify]: Simplify 1 into 1
14.464 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.464 * [taylor]: Taking taylor expansion of ky in ky
14.465 * [backup-simplify]: Simplify 0 into 0
14.465 * [backup-simplify]: Simplify 1 into 1
14.465 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.465 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.465 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.465 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.465 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.465 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.465 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.465 * [backup-simplify]: Simplify (* 0 0) into 0
14.466 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
14.466 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.466 * [backup-simplify]: Simplify (+ 0) into 0
14.467 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.468 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.468 * [backup-simplify]: Simplify (+ 0 0) into 0
14.468 * [backup-simplify]: Simplify (+ 0) into 0
14.469 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.470 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.470 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.471 * [backup-simplify]: Simplify (+ 0 0) into 0
14.471 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.473 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.473 * [backup-simplify]: Simplify (+ 0 0) into 0
14.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.474 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.474 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
14.474 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.474 * [taylor]: Taking taylor expansion of ky in ky
14.474 * [backup-simplify]: Simplify 0 into 0
14.474 * [backup-simplify]: Simplify 1 into 1
14.474 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
14.474 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.474 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
14.474 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.474 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.474 * [taylor]: Taking taylor expansion of kx in ky
14.474 * [backup-simplify]: Simplify kx into kx
14.474 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.474 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.474 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.474 * [taylor]: Taking taylor expansion of kx in ky
14.474 * [backup-simplify]: Simplify kx into kx
14.474 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.474 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.475 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.475 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.475 * [taylor]: Taking taylor expansion of ky in ky
14.475 * [backup-simplify]: Simplify 0 into 0
14.475 * [backup-simplify]: Simplify 1 into 1
14.475 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.475 * [taylor]: Taking taylor expansion of ky in ky
14.475 * [backup-simplify]: Simplify 0 into 0
14.475 * [backup-simplify]: Simplify 1 into 1
14.475 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.475 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.475 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.475 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.475 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.475 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.475 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.476 * [backup-simplify]: Simplify (* 0 0) into 0
14.476 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
14.476 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.476 * [backup-simplify]: Simplify (+ 0) into 0
14.477 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.478 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.478 * [backup-simplify]: Simplify (+ 0 0) into 0
14.479 * [backup-simplify]: Simplify (+ 0) into 0
14.479 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.480 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.480 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.481 * [backup-simplify]: Simplify (+ 0 0) into 0
14.481 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.481 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.482 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.483 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.483 * [backup-simplify]: Simplify (+ 0 0) into 0
14.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.484 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.484 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.484 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.484 * [taylor]: Taking taylor expansion of kx in kx
14.484 * [backup-simplify]: Simplify 0 into 0
14.484 * [backup-simplify]: Simplify 1 into 1
14.485 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.486 * [backup-simplify]: Simplify (/ 1 1) into 1
14.486 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.487 * [backup-simplify]: Simplify 0 into 0
14.488 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.488 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
14.488 * [taylor]: Taking taylor expansion of 0 in kx
14.488 * [backup-simplify]: Simplify 0 into 0
14.488 * [backup-simplify]: Simplify 0 into 0
14.494 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
14.496 * [backup-simplify]: Simplify 1/6 into 1/6
14.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.499 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.500 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.500 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.501 * [backup-simplify]: Simplify (+ 0 0) into 0
14.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.502 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.504 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.504 * [backup-simplify]: Simplify (+ 0 0) into 0
14.504 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
14.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.506 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
14.507 * [backup-simplify]: Simplify (+ 0 1) into 1
14.508 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
14.508 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
14.508 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx
14.509 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx
14.509 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx
14.509 * [taylor]: Taking taylor expansion of 1/6 in kx
14.509 * [backup-simplify]: Simplify 1/6 into 1/6
14.509 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.509 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.509 * [taylor]: Taking taylor expansion of kx in kx
14.509 * [backup-simplify]: Simplify 0 into 0
14.509 * [backup-simplify]: Simplify 1 into 1
14.509 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.510 * [backup-simplify]: Simplify (/ 1 1) into 1
14.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx
14.510 * [taylor]: Taking taylor expansion of 1/2 in kx
14.510 * [backup-simplify]: Simplify 1/2 into 1/2
14.510 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
14.510 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
14.510 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.510 * [taylor]: Taking taylor expansion of kx in kx
14.510 * [backup-simplify]: Simplify 0 into 0
14.510 * [backup-simplify]: Simplify 1 into 1
14.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.511 * [backup-simplify]: Simplify (* 1 1) into 1
14.511 * [backup-simplify]: Simplify (* 1 1) into 1
14.512 * [backup-simplify]: Simplify (/ 1 1) into 1
14.513 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.515 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
14.516 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.517 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.518 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
14.521 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
14.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
14.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
14.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.525 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
14.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
14.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
14.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
14.529 * [backup-simplify]: Simplify (+ 0 0) into 0
14.530 * [backup-simplify]: Simplify (- 0) into 0
14.530 * [backup-simplify]: Simplify 0 into 0
14.530 * [backup-simplify]: Simplify 0 into 0
14.532 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
14.533 * [backup-simplify]: Simplify 0 into 0
14.535 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
14.536 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.536 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.538 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.539 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.539 * [backup-simplify]: Simplify (+ 0 0) into 0
14.540 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.541 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.542 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.543 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.544 * [backup-simplify]: Simplify (+ 0 0) into 0
14.544 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
14.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.548 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.549 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
14.549 * [backup-simplify]: Simplify (+ 0 0) into 0
14.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
14.550 * [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
14.550 * [taylor]: Taking taylor expansion of 0 in kx
14.550 * [backup-simplify]: Simplify 0 into 0
14.550 * [backup-simplify]: Simplify 0 into 0
14.552 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
14.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
14.554 * [backup-simplify]: Simplify (+ (* 1/6 1/6) (+ (* 0 0) (* 0 1))) into 1/36
14.556 * [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
14.557 * [backup-simplify]: Simplify (+ (* 1 1/120) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* 1/120 1))))) into 2/45
14.558 * [backup-simplify]: Simplify (+ (* 1 2/45) (+ (* 0 0) (+ (* -1/6 -1/3) (+ (* 0 0) (* 1/120 1))))) into 13/120
14.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 13/120 1)) (* 0 (/ 0 1)) (* 1/2 (/ -1/2 1)) (* 0 (/ 0 1)))) into 17/120
14.560 * [backup-simplify]: Simplify (+ (* 1/2 17/120) (+ (* 0 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1))))) into 17/240
14.560 * [backup-simplify]: Simplify (+ 1/36 17/240) into 71/720
14.560 * [backup-simplify]: Simplify (- 71/720) into -71/720
14.560 * [backup-simplify]: Simplify -71/720 into -71/720
14.560 * [backup-simplify]: Simplify 0 into 0
14.562 * [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
14.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ -1/6 1)) (* 0 (/ 0 1)))) into 7/360
14.563 * [backup-simplify]: Simplify 7/360 into 7/360
14.563 * [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))))
14.563 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) into (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))
14.563 * [approximate]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in (ky kx) around 0
14.564 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
14.564 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.564 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.564 * [taylor]: Taking taylor expansion of ky in kx
14.564 * [backup-simplify]: Simplify ky into ky
14.564 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.564 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.564 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.564 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
14.564 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.564 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
14.564 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
14.564 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.564 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.564 * [taylor]: Taking taylor expansion of kx in kx
14.564 * [backup-simplify]: Simplify 0 into 0
14.564 * [backup-simplify]: Simplify 1 into 1
14.564 * [backup-simplify]: Simplify (/ 1 1) into 1
14.564 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.564 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.564 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.564 * [taylor]: Taking taylor expansion of kx in kx
14.564 * [backup-simplify]: Simplify 0 into 0
14.564 * [backup-simplify]: Simplify 1 into 1
14.565 * [backup-simplify]: Simplify (/ 1 1) into 1
14.565 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.565 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
14.565 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.565 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.565 * [taylor]: Taking taylor expansion of ky in kx
14.565 * [backup-simplify]: Simplify ky into ky
14.565 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.565 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.565 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.565 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.565 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.565 * [taylor]: Taking taylor expansion of ky in kx
14.565 * [backup-simplify]: Simplify ky into ky
14.565 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.565 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.565 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.565 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.565 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.565 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.565 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.565 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.565 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.566 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.566 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.566 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.566 * [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)))
14.566 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.566 * [backup-simplify]: Simplify (+ 0) into 0
14.567 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.567 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.567 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.568 * [backup-simplify]: Simplify (+ 0 0) into 0
14.568 * [backup-simplify]: Simplify (+ 0) into 0
14.568 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.569 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.570 * [backup-simplify]: Simplify (+ 0 0) into 0
14.570 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.570 * [backup-simplify]: Simplify (+ 0 0) into 0
14.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.570 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.570 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.570 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.571 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.571 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
14.571 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.571 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.571 * [taylor]: Taking taylor expansion of ky in ky
14.571 * [backup-simplify]: Simplify 0 into 0
14.571 * [backup-simplify]: Simplify 1 into 1
14.571 * [backup-simplify]: Simplify (/ 1 1) into 1
14.571 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.571 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
14.571 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.571 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
14.571 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.571 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.571 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.571 * [taylor]: Taking taylor expansion of kx in ky
14.571 * [backup-simplify]: Simplify kx into kx
14.571 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.571 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.571 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.571 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.571 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.571 * [taylor]: Taking taylor expansion of kx in ky
14.571 * [backup-simplify]: Simplify kx into kx
14.571 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.571 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.571 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.571 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.571 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.571 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.571 * [taylor]: Taking taylor expansion of ky in ky
14.572 * [backup-simplify]: Simplify 0 into 0
14.572 * [backup-simplify]: Simplify 1 into 1
14.572 * [backup-simplify]: Simplify (/ 1 1) into 1
14.572 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.572 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.572 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.572 * [taylor]: Taking taylor expansion of ky in ky
14.572 * [backup-simplify]: Simplify 0 into 0
14.572 * [backup-simplify]: Simplify 1 into 1
14.572 * [backup-simplify]: Simplify (/ 1 1) into 1
14.572 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.572 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.572 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.572 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.572 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.572 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.572 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.573 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.573 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.573 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.573 * [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)))
14.573 * [backup-simplify]: Simplify (+ 0) into 0
14.574 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.574 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.574 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.575 * [backup-simplify]: Simplify (+ 0 0) into 0
14.575 * [backup-simplify]: Simplify (+ 0) into 0
14.575 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.576 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.576 * [backup-simplify]: Simplify (+ 0 0) into 0
14.576 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.577 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.577 * [backup-simplify]: Simplify (+ 0 0) into 0
14.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.577 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.577 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
14.577 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.577 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.577 * [taylor]: Taking taylor expansion of ky in ky
14.577 * [backup-simplify]: Simplify 0 into 0
14.577 * [backup-simplify]: Simplify 1 into 1
14.577 * [backup-simplify]: Simplify (/ 1 1) into 1
14.578 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.578 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
14.578 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.578 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
14.578 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.578 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.578 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.578 * [taylor]: Taking taylor expansion of kx in ky
14.578 * [backup-simplify]: Simplify kx into kx
14.578 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.578 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.578 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.578 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.578 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.578 * [taylor]: Taking taylor expansion of kx in ky
14.578 * [backup-simplify]: Simplify kx into kx
14.578 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.578 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.578 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.578 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.578 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.578 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.578 * [taylor]: Taking taylor expansion of ky in ky
14.578 * [backup-simplify]: Simplify 0 into 0
14.578 * [backup-simplify]: Simplify 1 into 1
14.578 * [backup-simplify]: Simplify (/ 1 1) into 1
14.578 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.578 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.578 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.578 * [taylor]: Taking taylor expansion of ky in ky
14.578 * [backup-simplify]: Simplify 0 into 0
14.578 * [backup-simplify]: Simplify 1 into 1
14.579 * [backup-simplify]: Simplify (/ 1 1) into 1
14.579 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.579 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.579 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.579 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.579 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.579 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.579 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.579 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.579 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.579 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.579 * [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)))
14.580 * [backup-simplify]: Simplify (+ 0) into 0
14.580 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.581 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.581 * [backup-simplify]: Simplify (+ 0 0) into 0
14.581 * [backup-simplify]: Simplify (+ 0) into 0
14.582 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.583 * [backup-simplify]: Simplify (+ 0 0) into 0
14.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.583 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.583 * [backup-simplify]: Simplify (+ 0 0) into 0
14.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.584 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.584 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
14.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
14.584 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
14.584 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
14.584 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
14.584 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.584 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.584 * [taylor]: Taking taylor expansion of kx in kx
14.584 * [backup-simplify]: Simplify 0 into 0
14.584 * [backup-simplify]: Simplify 1 into 1
14.584 * [backup-simplify]: Simplify (/ 1 1) into 1
14.584 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.584 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
14.584 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.584 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.584 * [taylor]: Taking taylor expansion of ky in kx
14.584 * [backup-simplify]: Simplify ky into ky
14.584 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.584 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.584 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.584 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.584 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.584 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.585 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.585 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.585 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.585 * [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)))
14.585 * [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))))
14.585 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.585 * [backup-simplify]: Simplify (+ 0) into 0
14.586 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.586 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.586 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.587 * [backup-simplify]: Simplify (+ 0 0) into 0
14.587 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.587 * [backup-simplify]: Simplify (+ 0 0) into 0
14.587 * [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
14.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.588 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.588 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.588 * [taylor]: Taking taylor expansion of ky in kx
14.588 * [backup-simplify]: Simplify ky into ky
14.588 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.588 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.588 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.588 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.588 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.588 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.588 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.588 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.589 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.589 * [taylor]: Taking taylor expansion of 0 in kx
14.589 * [backup-simplify]: Simplify 0 into 0
14.589 * [backup-simplify]: Simplify 0 into 0
14.589 * [backup-simplify]: Simplify (+ 0) into 0
14.589 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.591 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.591 * [backup-simplify]: Simplify (+ 0 0) into 0
14.592 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
14.592 * [backup-simplify]: Simplify 0 into 0
14.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.593 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.594 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.595 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.595 * [backup-simplify]: Simplify (+ 0 0) into 0
14.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.597 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.598 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.598 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.599 * [backup-simplify]: Simplify (+ 0 0) into 0
14.599 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.600 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.600 * [backup-simplify]: Simplify (+ 0 0) into 0
14.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.602 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.602 * [taylor]: Taking taylor expansion of 0 in kx
14.602 * [backup-simplify]: Simplify 0 into 0
14.602 * [backup-simplify]: Simplify 0 into 0
14.602 * [backup-simplify]: Simplify 0 into 0
14.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.604 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.605 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.606 * [backup-simplify]: Simplify (+ 0 0) into 0
14.606 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.608 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.609 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.609 * [backup-simplify]: Simplify (+ 0 0) into 0
14.610 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.610 * [backup-simplify]: Simplify (+ 0 0) into 0
14.611 * [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
14.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.613 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.613 * [backup-simplify]: Simplify 0 into 0
14.614 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.615 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.616 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.617 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.623 * [backup-simplify]: Simplify (+ 0 0) into 0
14.625 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.628 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.628 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.629 * [backup-simplify]: Simplify (+ 0 0) into 0
14.630 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
14.630 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
14.631 * [backup-simplify]: Simplify (+ 0 0) into 0
14.632 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.633 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.633 * [taylor]: Taking taylor expansion of 0 in kx
14.633 * [backup-simplify]: Simplify 0 into 0
14.633 * [backup-simplify]: Simplify 0 into 0
14.633 * [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))
14.634 * [backup-simplify]: Simplify (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))) into (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))
14.634 * [approximate]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in (ky kx) around 0
14.634 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
14.634 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.634 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.634 * [taylor]: Taking taylor expansion of -1 in kx
14.634 * [backup-simplify]: Simplify -1 into -1
14.634 * [taylor]: Taking taylor expansion of ky in kx
14.634 * [backup-simplify]: Simplify ky into ky
14.634 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.634 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.634 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.634 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
14.634 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.634 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
14.634 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
14.634 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.634 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.634 * [taylor]: Taking taylor expansion of -1 in kx
14.634 * [backup-simplify]: Simplify -1 into -1
14.634 * [taylor]: Taking taylor expansion of kx in kx
14.634 * [backup-simplify]: Simplify 0 into 0
14.634 * [backup-simplify]: Simplify 1 into 1
14.635 * [backup-simplify]: Simplify (/ -1 1) into -1
14.635 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.635 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.635 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.635 * [taylor]: Taking taylor expansion of -1 in kx
14.635 * [backup-simplify]: Simplify -1 into -1
14.635 * [taylor]: Taking taylor expansion of kx in kx
14.635 * [backup-simplify]: Simplify 0 into 0
14.635 * [backup-simplify]: Simplify 1 into 1
14.636 * [backup-simplify]: Simplify (/ -1 1) into -1
14.636 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.636 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
14.636 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.636 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.636 * [taylor]: Taking taylor expansion of -1 in kx
14.636 * [backup-simplify]: Simplify -1 into -1
14.636 * [taylor]: Taking taylor expansion of ky in kx
14.636 * [backup-simplify]: Simplify ky into ky
14.636 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.636 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.636 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.636 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.636 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.636 * [taylor]: Taking taylor expansion of -1 in kx
14.636 * [backup-simplify]: Simplify -1 into -1
14.636 * [taylor]: Taking taylor expansion of ky in kx
14.636 * [backup-simplify]: Simplify ky into ky
14.636 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.636 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.636 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.637 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.637 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.637 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.637 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.637 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.637 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.637 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.637 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.637 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.638 * [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)))
14.638 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.638 * [backup-simplify]: Simplify (+ 0) into 0
14.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.639 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.640 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.640 * [backup-simplify]: Simplify (+ 0 0) into 0
14.641 * [backup-simplify]: Simplify (+ 0) into 0
14.641 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.641 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.642 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.643 * [backup-simplify]: Simplify (+ 0 0) into 0
14.643 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.643 * [backup-simplify]: Simplify (+ 0 0) into 0
14.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.644 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.644 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.644 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.644 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.644 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
14.644 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.644 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.644 * [taylor]: Taking taylor expansion of -1 in ky
14.644 * [backup-simplify]: Simplify -1 into -1
14.644 * [taylor]: Taking taylor expansion of ky in ky
14.644 * [backup-simplify]: Simplify 0 into 0
14.644 * [backup-simplify]: Simplify 1 into 1
14.645 * [backup-simplify]: Simplify (/ -1 1) into -1
14.645 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.645 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
14.645 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.645 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
14.645 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.645 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.645 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.645 * [taylor]: Taking taylor expansion of -1 in ky
14.645 * [backup-simplify]: Simplify -1 into -1
14.645 * [taylor]: Taking taylor expansion of kx in ky
14.645 * [backup-simplify]: Simplify kx into kx
14.645 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.645 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.645 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.645 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.646 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.646 * [taylor]: Taking taylor expansion of -1 in ky
14.646 * [backup-simplify]: Simplify -1 into -1
14.646 * [taylor]: Taking taylor expansion of kx in ky
14.646 * [backup-simplify]: Simplify kx into kx
14.646 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.646 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.646 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.646 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.646 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.646 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.646 * [taylor]: Taking taylor expansion of -1 in ky
14.646 * [backup-simplify]: Simplify -1 into -1
14.646 * [taylor]: Taking taylor expansion of ky in ky
14.646 * [backup-simplify]: Simplify 0 into 0
14.646 * [backup-simplify]: Simplify 1 into 1
14.647 * [backup-simplify]: Simplify (/ -1 1) into -1
14.647 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.647 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.647 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.647 * [taylor]: Taking taylor expansion of -1 in ky
14.647 * [backup-simplify]: Simplify -1 into -1
14.647 * [taylor]: Taking taylor expansion of ky in ky
14.647 * [backup-simplify]: Simplify 0 into 0
14.647 * [backup-simplify]: Simplify 1 into 1
14.647 * [backup-simplify]: Simplify (/ -1 1) into -1
14.647 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.647 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.648 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.648 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.648 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.648 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.648 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.648 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.648 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.648 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.649 * [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)))
14.649 * [backup-simplify]: Simplify (+ 0) into 0
14.650 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.650 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.651 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.652 * [backup-simplify]: Simplify (+ 0 0) into 0
14.652 * [backup-simplify]: Simplify (+ 0) into 0
14.652 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.653 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.654 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.654 * [backup-simplify]: Simplify (+ 0 0) into 0
14.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.654 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.655 * [backup-simplify]: Simplify (+ 0 0) into 0
14.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.655 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.655 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
14.655 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.655 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.655 * [taylor]: Taking taylor expansion of -1 in ky
14.656 * [backup-simplify]: Simplify -1 into -1
14.656 * [taylor]: Taking taylor expansion of ky in ky
14.656 * [backup-simplify]: Simplify 0 into 0
14.656 * [backup-simplify]: Simplify 1 into 1
14.656 * [backup-simplify]: Simplify (/ -1 1) into -1
14.656 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.656 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
14.656 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.656 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
14.656 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.656 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.656 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.656 * [taylor]: Taking taylor expansion of -1 in ky
14.656 * [backup-simplify]: Simplify -1 into -1
14.656 * [taylor]: Taking taylor expansion of kx in ky
14.656 * [backup-simplify]: Simplify kx into kx
14.656 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.656 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.657 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.657 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.657 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.657 * [taylor]: Taking taylor expansion of -1 in ky
14.657 * [backup-simplify]: Simplify -1 into -1
14.657 * [taylor]: Taking taylor expansion of kx in ky
14.657 * [backup-simplify]: Simplify kx into kx
14.657 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.657 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.657 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.657 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.657 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.657 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.657 * [taylor]: Taking taylor expansion of -1 in ky
14.657 * [backup-simplify]: Simplify -1 into -1
14.657 * [taylor]: Taking taylor expansion of ky in ky
14.657 * [backup-simplify]: Simplify 0 into 0
14.657 * [backup-simplify]: Simplify 1 into 1
14.657 * [backup-simplify]: Simplify (/ -1 1) into -1
14.658 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.658 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.658 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.658 * [taylor]: Taking taylor expansion of -1 in ky
14.658 * [backup-simplify]: Simplify -1 into -1
14.658 * [taylor]: Taking taylor expansion of ky in ky
14.658 * [backup-simplify]: Simplify 0 into 0
14.658 * [backup-simplify]: Simplify 1 into 1
14.658 * [backup-simplify]: Simplify (/ -1 1) into -1
14.658 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.658 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.658 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.658 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.659 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.659 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.659 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.659 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.659 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.659 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.659 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
14.660 * [backup-simplify]: Simplify (+ 0) into 0
14.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.660 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.661 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.662 * [backup-simplify]: Simplify (+ 0 0) into 0
14.662 * [backup-simplify]: Simplify (+ 0) into 0
14.663 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.663 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.664 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.664 * [backup-simplify]: Simplify (+ 0 0) into 0
14.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.665 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.665 * [backup-simplify]: Simplify (+ 0 0) into 0
14.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.666 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.666 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
14.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
14.666 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
14.666 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
14.666 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
14.666 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.666 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.666 * [taylor]: Taking taylor expansion of -1 in kx
14.666 * [backup-simplify]: Simplify -1 into -1
14.666 * [taylor]: Taking taylor expansion of kx in kx
14.666 * [backup-simplify]: Simplify 0 into 0
14.666 * [backup-simplify]: Simplify 1 into 1
14.667 * [backup-simplify]: Simplify (/ -1 1) into -1
14.667 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.667 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
14.667 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.667 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.667 * [taylor]: Taking taylor expansion of -1 in kx
14.667 * [backup-simplify]: Simplify -1 into -1
14.667 * [taylor]: Taking taylor expansion of ky in kx
14.667 * [backup-simplify]: Simplify ky into ky
14.667 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.667 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.667 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.667 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.667 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.667 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.668 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.668 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.668 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.668 * [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)))
14.668 * [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))))
14.668 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.669 * [backup-simplify]: Simplify (+ 0) into 0
14.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.670 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.671 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.671 * [backup-simplify]: Simplify (+ 0 0) into 0
14.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.672 * [backup-simplify]: Simplify (+ 0 0) into 0
14.672 * [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
14.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.672 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.672 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.673 * [taylor]: Taking taylor expansion of -1 in kx
14.673 * [backup-simplify]: Simplify -1 into -1
14.673 * [taylor]: Taking taylor expansion of ky in kx
14.673 * [backup-simplify]: Simplify ky into ky
14.673 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.673 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.673 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.673 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.673 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.673 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.673 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.674 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.674 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.674 * [taylor]: Taking taylor expansion of 0 in kx
14.675 * [backup-simplify]: Simplify 0 into 0
14.675 * [backup-simplify]: Simplify 0 into 0
14.675 * [backup-simplify]: Simplify (+ 0) into 0
14.676 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.676 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.676 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.677 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.677 * [backup-simplify]: Simplify (+ 0 0) into 0
14.678 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
14.678 * [backup-simplify]: Simplify 0 into 0
14.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.679 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.679 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.680 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.681 * [backup-simplify]: Simplify (+ 0 0) into 0
14.682 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.683 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.683 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.684 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.685 * [backup-simplify]: Simplify (+ 0 0) into 0
14.685 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
14.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.686 * [backup-simplify]: Simplify (+ 0 0) into 0
14.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.688 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.688 * [taylor]: Taking taylor expansion of 0 in kx
14.688 * [backup-simplify]: Simplify 0 into 0
14.688 * [backup-simplify]: Simplify 0 into 0
14.688 * [backup-simplify]: Simplify 0 into 0
14.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.690 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.693 * [backup-simplify]: Simplify (+ 0 0) into 0
14.693 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
14.694 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.695 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.696 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.697 * [backup-simplify]: Simplify (+ 0 0) into 0
14.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.697 * [backup-simplify]: Simplify (+ 0 0) into 0
14.698 * [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
14.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
14.700 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
14.700 * [backup-simplify]: Simplify 0 into 0
14.701 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.702 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.703 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.704 * [backup-simplify]: Simplify (+ 0 0) into 0
14.705 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
14.706 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
14.706 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.708 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
14.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
14.709 * [backup-simplify]: Simplify (+ 0 0) into 0
14.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
14.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
14.711 * [backup-simplify]: Simplify (+ 0 0) into 0
14.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.713 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
14.714 * [taylor]: Taking taylor expansion of 0 in kx
14.714 * [backup-simplify]: Simplify 0 into 0
14.714 * [backup-simplify]: Simplify 0 into 0
14.714 * [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))
14.714 * * * * [progress]: [ 3 / 4 ] generating series at (2)
14.715 * [backup-simplify]: Simplify (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) into (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th))
14.715 * [approximate]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in (th ky kx) around 0
14.715 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in kx
14.715 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
14.715 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
14.715 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
14.715 * [taylor]: Taking taylor expansion of 1 in kx
14.715 * [backup-simplify]: Simplify 1 into 1
14.715 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
14.715 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
14.715 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
14.715 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
14.715 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.715 * [taylor]: Taking taylor expansion of ky in kx
14.715 * [backup-simplify]: Simplify ky into ky
14.715 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.715 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.715 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
14.715 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.715 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
14.715 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
14.715 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.715 * [taylor]: Taking taylor expansion of kx in kx
14.715 * [backup-simplify]: Simplify 0 into 0
14.715 * [backup-simplify]: Simplify 1 into 1
14.715 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.715 * [taylor]: Taking taylor expansion of kx in kx
14.715 * [backup-simplify]: Simplify 0 into 0
14.715 * [backup-simplify]: Simplify 1 into 1
14.715 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
14.715 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.716 * [taylor]: Taking taylor expansion of ky in kx
14.716 * [backup-simplify]: Simplify ky into ky
14.716 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.716 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.716 * [taylor]: Taking taylor expansion of (sin ky) in kx
14.716 * [taylor]: Taking taylor expansion of ky in kx
14.716 * [backup-simplify]: Simplify ky into ky
14.716 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.716 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.716 * [backup-simplify]: Simplify (* 0 0) into 0
14.716 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.716 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.717 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.717 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.717 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.717 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.717 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.717 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
14.717 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
14.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.719 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.719 * [backup-simplify]: Simplify (+ 0) into 0
14.720 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.721 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.721 * [backup-simplify]: Simplify (+ 0 0) into 0
14.722 * [backup-simplify]: Simplify (+ 0) into 0
14.722 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.723 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.724 * [backup-simplify]: Simplify (+ 0 0) into 0
14.724 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.724 * [backup-simplify]: Simplify (+ 0 0) into 0
14.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
14.725 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.725 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.725 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.725 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
14.725 * [backup-simplify]: Simplify (exp 1) into E
14.725 * [taylor]: Taking taylor expansion of 1 in kx
14.725 * [backup-simplify]: Simplify 1 into 1
14.725 * [backup-simplify]: Simplify (- 1) into -1
14.726 * [backup-simplify]: Simplify (+ E -1) into (- E 1)
14.727 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E
14.727 * [backup-simplify]: Simplify (log E) into 1
14.727 * [taylor]: Taking taylor expansion of (sin th) in kx
14.727 * [taylor]: Taking taylor expansion of th in kx
14.727 * [backup-simplify]: Simplify th into th
14.727 * [backup-simplify]: Simplify (sin th) into (sin th)
14.727 * [backup-simplify]: Simplify (cos th) into (cos th)
14.727 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in ky
14.727 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
14.727 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
14.727 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
14.727 * [taylor]: Taking taylor expansion of 1 in ky
14.727 * [backup-simplify]: Simplify 1 into 1
14.727 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
14.727 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
14.727 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
14.727 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
14.727 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.727 * [taylor]: Taking taylor expansion of ky in ky
14.727 * [backup-simplify]: Simplify 0 into 0
14.727 * [backup-simplify]: Simplify 1 into 1
14.727 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
14.728 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.728 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
14.728 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
14.728 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.728 * [taylor]: Taking taylor expansion of kx in ky
14.728 * [backup-simplify]: Simplify kx into kx
14.728 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.728 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.728 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.728 * [taylor]: Taking taylor expansion of kx in ky
14.728 * [backup-simplify]: Simplify kx into kx
14.728 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.728 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.728 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
14.728 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.728 * [taylor]: Taking taylor expansion of ky in ky
14.728 * [backup-simplify]: Simplify 0 into 0
14.728 * [backup-simplify]: Simplify 1 into 1
14.728 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.728 * [taylor]: Taking taylor expansion of ky in ky
14.728 * [backup-simplify]: Simplify 0 into 0
14.728 * [backup-simplify]: Simplify 1 into 1
14.728 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.728 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.728 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.728 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.728 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.728 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.729 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.729 * [backup-simplify]: Simplify (* 0 0) into 0
14.729 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
14.729 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
14.730 * [backup-simplify]: Simplify (+ 0) into 0
14.730 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.731 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.732 * [backup-simplify]: Simplify (+ 0 0) into 0
14.732 * [backup-simplify]: Simplify (+ 0) into 0
14.732 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.733 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.734 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.734 * [backup-simplify]: Simplify (+ 0 0) into 0
14.734 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.736 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.736 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
14.737 * [backup-simplify]: Simplify (+ 0 0) into 0
14.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
14.738 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.738 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
14.738 * [backup-simplify]: Simplify (exp 0) into 1
14.738 * [taylor]: Taking taylor expansion of 1 in ky
14.738 * [backup-simplify]: Simplify 1 into 1
14.738 * [backup-simplify]: Simplify (- 1) into -1
14.739 * [backup-simplify]: Simplify (+ 1 -1) into 0
14.739 * [backup-simplify]: Simplify (+ 1 0) into 1
14.739 * [backup-simplify]: Simplify (log 1) into 0
14.739 * [taylor]: Taking taylor expansion of (sin th) in ky
14.739 * [taylor]: Taking taylor expansion of th in ky
14.739 * [backup-simplify]: Simplify th into th
14.739 * [backup-simplify]: Simplify (sin th) into (sin th)
14.739 * [backup-simplify]: Simplify (cos th) into (cos th)
14.739 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in th
14.740 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
14.740 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
14.740 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
14.740 * [taylor]: Taking taylor expansion of 1 in th
14.740 * [backup-simplify]: Simplify 1 into 1
14.740 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
14.740 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
14.740 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
14.740 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in th
14.740 * [taylor]: Taking taylor expansion of (sin ky) in th
14.740 * [taylor]: Taking taylor expansion of ky in th
14.740 * [backup-simplify]: Simplify ky into ky
14.740 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.740 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.740 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
14.740 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.740 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
14.740 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
14.740 * [taylor]: Taking taylor expansion of (sin kx) in th
14.740 * [taylor]: Taking taylor expansion of kx in th
14.740 * [backup-simplify]: Simplify kx into kx
14.740 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.740 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.740 * [taylor]: Taking taylor expansion of (sin kx) in th
14.740 * [taylor]: Taking taylor expansion of kx in th
14.740 * [backup-simplify]: Simplify kx into kx
14.740 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.740 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.740 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
14.740 * [taylor]: Taking taylor expansion of (sin ky) in th
14.740 * [taylor]: Taking taylor expansion of ky in th
14.740 * [backup-simplify]: Simplify ky into ky
14.741 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.741 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.741 * [taylor]: Taking taylor expansion of (sin ky) in th
14.741 * [taylor]: Taking taylor expansion of ky in th
14.741 * [backup-simplify]: Simplify ky into ky
14.741 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.741 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.741 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.741 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.741 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.741 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.741 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.741 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.741 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.741 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.741 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.741 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.741 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.742 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.742 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.742 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.742 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
14.742 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
14.743 * [backup-simplify]: Simplify (+ 0) into 0
14.743 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.744 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.744 * [backup-simplify]: Simplify (+ 0 0) into 0
14.745 * [backup-simplify]: Simplify (+ 0) into 0
14.745 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.747 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.747 * [backup-simplify]: Simplify (+ 0 0) into 0
14.747 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.747 * [backup-simplify]: Simplify (+ 0) into 0
14.748 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.749 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.749 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.749 * [backup-simplify]: Simplify (+ 0 0) into 0
14.750 * [backup-simplify]: Simplify (+ 0) into 0
14.750 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.751 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.752 * [backup-simplify]: Simplify (+ 0 0) into 0
14.752 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.752 * [backup-simplify]: Simplify (+ 0 0) into 0
14.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
14.752 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.752 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.753 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.753 * [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))
14.753 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
14.753 * [taylor]: Taking taylor expansion of 1 in th
14.753 * [backup-simplify]: Simplify 1 into 1
14.754 * [backup-simplify]: Simplify (- 1) into -1
14.754 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
14.754 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
14.754 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
14.754 * [taylor]: Taking taylor expansion of (sin th) in th
14.755 * [taylor]: Taking taylor expansion of th in th
14.755 * [backup-simplify]: Simplify 0 into 0
14.755 * [backup-simplify]: Simplify 1 into 1
14.755 * [taylor]: Taking taylor expansion of (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)) in th
14.755 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
14.755 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
14.755 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in th
14.755 * [taylor]: Taking taylor expansion of 1 in th
14.755 * [backup-simplify]: Simplify 1 into 1
14.755 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
14.755 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
14.755 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in th
14.755 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in th
14.755 * [taylor]: Taking taylor expansion of (sin ky) in th
14.755 * [taylor]: Taking taylor expansion of ky in th
14.755 * [backup-simplify]: Simplify ky into ky
14.755 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.755 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.755 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in th
14.755 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
14.755 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in th
14.755 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in th
14.755 * [taylor]: Taking taylor expansion of (sin kx) in th
14.755 * [taylor]: Taking taylor expansion of kx in th
14.755 * [backup-simplify]: Simplify kx into kx
14.755 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.755 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.755 * [taylor]: Taking taylor expansion of (sin kx) in th
14.756 * [taylor]: Taking taylor expansion of kx in th
14.756 * [backup-simplify]: Simplify kx into kx
14.756 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.756 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.756 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in th
14.756 * [taylor]: Taking taylor expansion of (sin ky) in th
14.756 * [taylor]: Taking taylor expansion of ky in th
14.756 * [backup-simplify]: Simplify ky into ky
14.756 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.756 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.756 * [taylor]: Taking taylor expansion of (sin ky) in th
14.756 * [taylor]: Taking taylor expansion of ky in th
14.756 * [backup-simplify]: Simplify ky into ky
14.756 * [backup-simplify]: Simplify (sin ky) into (sin ky)
14.756 * [backup-simplify]: Simplify (cos ky) into (cos ky)
14.756 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.756 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.756 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.756 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.756 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.756 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.756 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.757 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.757 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.757 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.757 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.757 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.757 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.757 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
14.757 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) (pow (sin ky) 2)) into (+ (pow (sin ky) 2) (pow (sin kx) 2))
14.758 * [backup-simplify]: Simplify (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) into (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))
14.758 * [backup-simplify]: Simplify (+ 0) into 0
14.759 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.759 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.760 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.760 * [backup-simplify]: Simplify (+ 0 0) into 0
14.761 * [backup-simplify]: Simplify (+ 0) into 0
14.761 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.762 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.763 * [backup-simplify]: Simplify (+ 0 0) into 0
14.763 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.763 * [backup-simplify]: Simplify (+ 0) into 0
14.764 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.764 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.765 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.765 * [backup-simplify]: Simplify (+ 0 0) into 0
14.766 * [backup-simplify]: Simplify (+ 0) into 0
14.766 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.767 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.768 * [backup-simplify]: Simplify (+ 0 0) into 0
14.768 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
14.768 * [backup-simplify]: Simplify (+ 0 0) into 0
14.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
14.769 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
14.769 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
14.769 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
14.769 * [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))
14.769 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
14.769 * [taylor]: Taking taylor expansion of 1 in th
14.769 * [backup-simplify]: Simplify 1 into 1
14.770 * [backup-simplify]: Simplify (- 1) into -1
14.770 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
14.770 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))
14.771 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)))) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
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
14.771 * [backup-simplify]: Simplify (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 0) into 0
14.771 * [taylor]: Taking taylor expansion of 0 in ky
14.771 * [backup-simplify]: Simplify 0 into 0
14.771 * [taylor]: Taking taylor expansion of 0 in kx
14.771 * [backup-simplify]: Simplify 0 into 0
14.771 * [backup-simplify]: Simplify 0 into 0
14.776 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.777 * [backup-simplify]: Simplify (+ 0) into 0
14.777 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
14.777 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.778 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
14.778 * [backup-simplify]: Simplify (+ 0 0) into 0
14.778 * [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
14.779 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (+ (* (/ (pow 0 1) 1)))) into 0
14.779 * [backup-simplify]: Simplify (- 0) into 0
14.779 * [backup-simplify]: Simplify (+ 0 0) into 0
14.780 * [backup-simplify]: Simplify (+ 0 0) into 0
14.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)))) 1) into 0
14.781 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 1) (* 0 0)) into (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
14.781 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) in ky
14.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) in ky
14.781 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2))) in ky
14.781 * [taylor]: Taking taylor expansion of (+ (pow (sin ky) 2) (pow (sin kx) 2)) in ky
14.781 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky
14.781 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.781 * [taylor]: Taking taylor expansion of ky in ky
14.781 * [backup-simplify]: Simplify 0 into 0
14.781 * [backup-simplify]: Simplify 1 into 1
14.781 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.781 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky
14.781 * [taylor]: Taking taylor expansion of (sin kx) in ky
14.781 * [taylor]: Taking taylor expansion of kx in ky
14.781 * [backup-simplify]: Simplify kx into kx
14.781 * [backup-simplify]: Simplify (sin kx) into (sin kx)
14.781 * [backup-simplify]: Simplify (cos kx) into (cos kx)
14.781 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
14.781 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
14.782 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
14.782 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
14.782 * [backup-simplify]: Simplify (+ 0 (pow (sin kx) 2)) into (pow (sin kx) 2)
14.782 * [backup-simplify]: Simplify (/ 1 (pow (sin kx) 2)) into (/ 1 (pow (sin kx) 2))
14.782 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (sin kx) 2))) into (/ 1 (sin kx))
14.782 * [backup-simplify]: Simplify (+ 0) into 0
14.782 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
14.783 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.783 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
14.783 * [backup-simplify]: Simplify (+ 0 0) into 0
14.783 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
14.784 * [backup-simplify]: Simplify (+ 0 0) into 0
14.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sin kx) 2)) (/ 0 (pow (sin kx) 2))))) into 0
14.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow (sin kx) 2))))) into 0
14.784 * [taylor]: Taking taylor expansion of (sin ky) in ky
14.784 * [taylor]: Taking taylor expansion of ky in ky
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify 1 into 1
14.784 * [backup-simplify]: Simplify (* (/ 1 (sin kx)) 0) into 0
14.784 * [taylor]: Taking taylor expansion of 0 in kx
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [taylor]: Taking taylor expansion of 0 in kx
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify 0 into 0
14.785 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.786 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.786 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.787 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.787 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.787 * [backup-simplify]: Simplify (+ 0 0) into 0
14.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.788 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.789 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.789 * [backup-simplify]: Simplify (+ 0 0) into 0
14.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.790 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
14.791 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.791 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
14.791 * [backup-simplify]: Simplify (+ 0 0) into 0
14.792 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
14.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.793 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.793 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.793 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.794 * [backup-simplify]: Simplify (+ 0 0) into 0
14.794 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.795 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 1))) into 0
14.795 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.795 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (+ (* 0 0) (* 0 0))) into 0
14.796 * [backup-simplify]: Simplify (+ 0 0) into 0
14.796 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (+ (* 0 0) (* 0 (sin ky)))) into 0
14.796 * [backup-simplify]: Simplify (+ 0 0) into 0
14.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) into 0
14.797 * [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))))) (* 0 (/ 0 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))))) into 0
14.798 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.798 * [backup-simplify]: Simplify (- 0) into 0
14.798 * [backup-simplify]: Simplify (+ 0 0) into 0
14.799 * [backup-simplify]: Simplify (+ 0 0) into 0
14.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)))) 2) into 0
14.800 * [backup-simplify]: Simplify (+ (* (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky)) 0) (+ (* 0 1) (* 0 0))) into 0
14.801 * [taylor]: Taking taylor expansion of 0 in ky
14.801 * [backup-simplify]: Simplify 0 into 0
14.801 * [taylor]: Taking taylor expansion of 0 in kx
14.801 * [backup-simplify]: Simplify 0 into 0
14.801 * [backup-simplify]: Simplify 0 into 0
14.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.801 * [backup-simplify]: Simplify (+ (* (/ 1 (sin kx)) 1) (* 0 0)) into (/ 1 (sin kx))
14.801 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
14.801 * [taylor]: Taking taylor expansion of (sin kx) in kx
14.801 * [taylor]: Taking taylor expansion of kx in kx
14.801 * [backup-simplify]: Simplify 0 into 0
14.801 * [backup-simplify]: Simplify 1 into 1
14.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
14.803 * [backup-simplify]: Simplify (/ 1 1) into 1
14.803 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.804 * [backup-simplify]: Simplify 0 into 0
14.804 * [backup-simplify]: Simplify 0 into 0
14.804 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) into (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
14.804 * [approximate]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in (th ky kx) around 0
14.805 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in kx
14.805 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
14.805 * [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 (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
14.805 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
14.805 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
14.805 * [taylor]: Taking taylor expansion of 1 in kx
14.805 * [backup-simplify]: Simplify 1 into 1
14.805 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
14.805 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
14.805 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
14.805 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (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))
14.806 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.806 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
14.806 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.806 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
14.806 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in 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 * [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
14.807 * [backup-simplify]: Simplify (/ 1 1) into 1
14.807 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.807 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
14.807 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.807 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.807 * [taylor]: Taking taylor expansion of ky in kx
14.807 * [backup-simplify]: Simplify ky into ky
14.807 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.807 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.807 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.807 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.807 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.807 * [taylor]: Taking taylor expansion of ky in kx
14.807 * [backup-simplify]: Simplify ky into ky
14.807 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.808 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.808 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.808 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.808 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.808 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.808 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.808 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.808 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.808 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.808 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.809 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.809 * [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)))
14.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) 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
14.811 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.812 * [backup-simplify]: Simplify (+ 0 0) into 0
14.812 * [backup-simplify]: Simplify (+ 0) into 0
14.813 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.814 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.814 * [backup-simplify]: Simplify (+ 0 0) into 0
14.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.815 * [backup-simplify]: Simplify (+ 0 0) into 0
14.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.815 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.815 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.815 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.816 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.816 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.816 * [taylor]: Taking taylor expansion of 1 in kx
14.816 * [backup-simplify]: Simplify 1 into 1
14.817 * [backup-simplify]: Simplify (- 1) into -1
14.817 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
14.817 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.818 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.818 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in ky
14.818 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
14.818 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
14.818 * [taylor]: Taking taylor expansion of th in ky
14.818 * [backup-simplify]: Simplify th into th
14.818 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.818 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.818 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.818 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
14.818 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
14.818 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
14.818 * [taylor]: Taking taylor expansion of 1 in ky
14.818 * [backup-simplify]: Simplify 1 into 1
14.818 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
14.818 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
14.818 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
14.818 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
14.818 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.818 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.818 * [taylor]: Taking taylor expansion of ky in ky
14.818 * [backup-simplify]: Simplify 0 into 0
14.818 * [backup-simplify]: Simplify 1 into 1
14.819 * [backup-simplify]: Simplify (/ 1 1) into 1
14.819 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.819 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
14.819 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.819 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
14.819 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
14.819 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.819 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.819 * [taylor]: Taking taylor expansion of kx in ky
14.819 * [backup-simplify]: Simplify kx into kx
14.819 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.819 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.820 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.820 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.820 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.820 * [taylor]: Taking taylor expansion of kx in ky
14.820 * [backup-simplify]: Simplify kx into kx
14.820 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.820 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.820 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.820 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
14.820 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.820 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.820 * [taylor]: Taking taylor expansion of ky in ky
14.820 * [backup-simplify]: Simplify 0 into 0
14.820 * [backup-simplify]: Simplify 1 into 1
14.820 * [backup-simplify]: Simplify (/ 1 1) into 1
14.820 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.820 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.821 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.821 * [taylor]: Taking taylor expansion of ky in ky
14.821 * [backup-simplify]: Simplify 0 into 0
14.821 * [backup-simplify]: Simplify 1 into 1
14.821 * [backup-simplify]: Simplify (/ 1 1) into 1
14.821 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.821 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.821 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.821 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.821 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.822 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.822 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.822 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.822 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.822 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.822 * [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)))
14.823 * [backup-simplify]: Simplify (+ 0) into 0
14.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.825 * [backup-simplify]: Simplify (+ 0 0) into 0
14.825 * [backup-simplify]: Simplify (+ 0) into 0
14.826 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.826 * [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 (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) 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
14.829 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.829 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.829 * [taylor]: Taking taylor expansion of 1 in ky
14.829 * [backup-simplify]: Simplify 1 into 1
14.830 * [backup-simplify]: Simplify (- 1) into -1
14.830 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
14.830 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.830 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.831 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in th
14.831 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
14.831 * [taylor]: Taking taylor expansion of (/ 1 th) in th
14.831 * [taylor]: Taking taylor expansion of th in th
14.831 * [backup-simplify]: Simplify 0 into 0
14.831 * [backup-simplify]: Simplify 1 into 1
14.831 * [backup-simplify]: Simplify (/ 1 1) into 1
14.831 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.831 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
14.831 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
14.831 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
14.831 * [taylor]: Taking taylor expansion of 1 in th
14.831 * [backup-simplify]: Simplify 1 into 1
14.831 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
14.831 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
14.831 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
14.832 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
14.832 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.832 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.832 * [taylor]: Taking taylor expansion of ky in th
14.832 * [backup-simplify]: Simplify ky into ky
14.832 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.832 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.832 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.832 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
14.832 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.832 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
14.832 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
14.832 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
14.832 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
14.832 * [taylor]: Taking taylor expansion of kx in th
14.832 * [backup-simplify]: Simplify kx into kx
14.832 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.832 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.832 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.832 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
14.832 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
14.833 * [taylor]: Taking taylor expansion of kx in th
14.833 * [backup-simplify]: Simplify kx into kx
14.833 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.833 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.833 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.833 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
14.833 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.833 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.833 * [taylor]: Taking taylor expansion of ky in th
14.833 * [backup-simplify]: Simplify ky into ky
14.833 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.833 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.833 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.833 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.833 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.833 * [taylor]: Taking taylor expansion of ky in th
14.833 * [backup-simplify]: Simplify ky into ky
14.833 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.833 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.834 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.834 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.834 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.834 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.834 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.834 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.834 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.834 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.834 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.834 * [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 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 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.835 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.835 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
14.836 * [backup-simplify]: Simplify (+ 0) into 0
14.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.838 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.838 * [backup-simplify]: Simplify (+ 0 0) into 0
14.839 * [backup-simplify]: Simplify (+ 0) into 0
14.839 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.840 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.840 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.841 * [backup-simplify]: Simplify (+ 0 0) into 0
14.841 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.841 * [backup-simplify]: Simplify (+ 0) into 0
14.842 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.843 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.843 * [backup-simplify]: Simplify (+ 0 0) into 0
14.844 * [backup-simplify]: Simplify (+ 0) into 0
14.844 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.846 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.846 * [backup-simplify]: Simplify (+ 0 0) into 0
14.846 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.847 * [backup-simplify]: Simplify (+ 0 0) into 0
14.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.847 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.847 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.847 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.847 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.848 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.848 * [taylor]: Taking taylor expansion of 1 in th
14.848 * [backup-simplify]: Simplify 1 into 1
14.848 * [backup-simplify]: Simplify (- 1) into -1
14.848 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
14.849 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.849 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.849 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))) in th
14.849 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in th
14.849 * [taylor]: Taking taylor expansion of (/ 1 th) in th
14.849 * [taylor]: Taking taylor expansion of th in th
14.849 * [backup-simplify]: Simplify 0 into 0
14.849 * [backup-simplify]: Simplify 1 into 1
14.850 * [backup-simplify]: Simplify (/ 1 1) into 1
14.850 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.850 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
14.850 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
14.850 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in th
14.850 * [taylor]: Taking taylor expansion of 1 in th
14.850 * [backup-simplify]: Simplify 1 into 1
14.850 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
14.850 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
14.850 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in th
14.850 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in th
14.850 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.850 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.850 * [taylor]: Taking taylor expansion of ky in th
14.850 * [backup-simplify]: Simplify ky into ky
14.850 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.850 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.850 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.851 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in th
14.851 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
14.851 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in th
14.851 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in th
14.851 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
14.851 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
14.851 * [taylor]: Taking taylor expansion of kx in th
14.851 * [backup-simplify]: Simplify kx into kx
14.851 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.851 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.851 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.851 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in th
14.851 * [taylor]: Taking taylor expansion of (/ 1 kx) in th
14.851 * [taylor]: Taking taylor expansion of kx in th
14.851 * [backup-simplify]: Simplify kx into kx
14.851 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.851 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.851 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.851 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in th
14.851 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.851 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.851 * [taylor]: Taking taylor expansion of ky in th
14.851 * [backup-simplify]: Simplify ky into ky
14.851 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.851 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.851 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.852 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in th
14.852 * [taylor]: Taking taylor expansion of (/ 1 ky) in th
14.852 * [taylor]: Taking taylor expansion of ky in th
14.852 * [backup-simplify]: Simplify ky into ky
14.852 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.852 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.852 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.852 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.852 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.852 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.852 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.852 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.852 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.852 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.852 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.853 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.853 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.853 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.853 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.853 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.853 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.853 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.853 * [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)))
14.854 * [backup-simplify]: Simplify (+ 0) into 0
14.854 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.856 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.856 * [backup-simplify]: Simplify (+ 0 0) into 0
14.856 * [backup-simplify]: Simplify (+ 0) into 0
14.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.858 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.859 * [backup-simplify]: Simplify (+ 0 0) into 0
14.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.859 * [backup-simplify]: Simplify (+ 0) into 0
14.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.861 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.861 * [backup-simplify]: Simplify (+ 0 0) into 0
14.862 * [backup-simplify]: Simplify (+ 0) into 0
14.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.864 * [backup-simplify]: Simplify (+ 0 0) into 0
14.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.865 * [backup-simplify]: Simplify (+ 0 0) into 0
14.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.865 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.866 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.866 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.866 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.866 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.866 * [taylor]: Taking taylor expansion of 1 in th
14.866 * [backup-simplify]: Simplify 1 into 1
14.867 * [backup-simplify]: Simplify (- 1) into -1
14.867 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
14.868 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
14.868 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
14.868 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
14.868 * [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
14.868 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in ky
14.868 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in ky
14.869 * [taylor]: Taking taylor expansion of (/ 1 th) in ky
14.869 * [taylor]: Taking taylor expansion of th in ky
14.869 * [backup-simplify]: Simplify th into th
14.869 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.869 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.869 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.869 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.869 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.869 * [taylor]: Taking taylor expansion of ky in ky
14.869 * [backup-simplify]: Simplify 0 into 0
14.869 * [backup-simplify]: Simplify 1 into 1
14.870 * [backup-simplify]: Simplify (/ 1 1) into 1
14.870 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky
14.870 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky
14.870 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky
14.870 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky
14.870 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
14.870 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
14.870 * [taylor]: Taking taylor expansion of kx in ky
14.870 * [backup-simplify]: Simplify kx into kx
14.870 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
14.870 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.870 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
14.870 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
14.870 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
14.870 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
14.870 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky
14.870 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
14.870 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
14.870 * [taylor]: Taking taylor expansion of ky in ky
14.870 * [backup-simplify]: Simplify 0 into 0
14.870 * [backup-simplify]: Simplify 1 into 1
14.871 * [backup-simplify]: Simplify (/ 1 1) into 1
14.871 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.871 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.871 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.871 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.872 * [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)))
14.872 * [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))))
14.872 * [backup-simplify]: Simplify (+ 0) into 0
14.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
14.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
14.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.874 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
14.875 * [backup-simplify]: Simplify (+ 0 0) into 0
14.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.875 * [backup-simplify]: Simplify (+ 0 0) into 0
14.876 * [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
14.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.876 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
14.876 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
14.876 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
14.877 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.877 * [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)))))
14.877 * [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
14.877 * [taylor]: Taking taylor expansion of (* (sin (/ 1 th)) (sin (/ 1 ky))) in kx
14.877 * [taylor]: Taking taylor expansion of (sin (/ 1 th)) in kx
14.877 * [taylor]: Taking taylor expansion of (/ 1 th) in kx
14.877 * [taylor]: Taking taylor expansion of th in kx
14.877 * [backup-simplify]: Simplify th into th
14.877 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th)
14.877 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th))
14.877 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th))
14.877 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.877 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.877 * [taylor]: Taking taylor expansion of ky in kx
14.877 * [backup-simplify]: Simplify ky into ky
14.877 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.877 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.878 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
14.878 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
14.878 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
14.878 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
14.878 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
14.878 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
14.878 * [taylor]: Taking taylor expansion of kx in kx
14.878 * [backup-simplify]: Simplify 0 into 0
14.878 * [backup-simplify]: Simplify 1 into 1
14.878 * [backup-simplify]: Simplify (/ 1 1) into 1
14.878 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
14.878 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
14.878 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
14.878 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
14.878 * [taylor]: Taking taylor expansion of ky in kx
14.879 * [backup-simplify]: Simplify ky into ky
14.879 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
14.879 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
14.879 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
14.879 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.879 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.879 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.879 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
14.879 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
14.879 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
14.880 * [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)))
14.880 * [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))))
14.880 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
14.880 * [backup-simplify]: Simplify (+ 0) into 0
14.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.883 * [backup-simplify]: Simplify (+ 0 0) into 0
14.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.884 * [backup-simplify]: Simplify (+ 0 0) into 0
14.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) (/ 0 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.885 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 1) into (sin (/ 1 th))
14.885 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 0) into 0
14.885 * [backup-simplify]: Simplify (+ (sin (/ 1 th)) 0) into (sin (/ 1 th))
14.885 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
14.885 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
14.885 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
14.885 * [backup-simplify]: Simplify (* (sin (/ 1 th)) (sin (/ 1 ky))) into (* (sin (/ 1 th)) (sin (/ 1 ky)))
14.886 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
14.886 * [backup-simplify]: Simplify (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into (* (* (sin (/ 1 th)) (sin (/ 1 ky))) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))
14.887 * [backup-simplify]: Simplify (+ 0) into 0
14.887 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.889 * [backup-simplify]: Simplify (+ 0 0) into 0
14.890 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.891 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.891 * [backup-simplify]: Simplify (- 0) into 0
14.891 * [backup-simplify]: Simplify (+ 0 0) into 0
14.892 * [backup-simplify]: Simplify (+ 0 0) into 0
14.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 1) into 0
14.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into 0
14.893 * [taylor]: Taking taylor expansion of 0 in ky
14.893 * [backup-simplify]: Simplify 0 into 0
14.893 * [taylor]: Taking taylor expansion of 0 in kx
14.893 * [backup-simplify]: Simplify 0 into 0
14.893 * [backup-simplify]: Simplify 0 into 0
14.894 * [backup-simplify]: Simplify (+ 0) into 0
14.894 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
14.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
14.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.896 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
14.896 * [backup-simplify]: Simplify (+ 0 0) into 0
14.896 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.896 * [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
14.896 * [taylor]: Taking taylor expansion of 0 in kx
14.896 * [backup-simplify]: Simplify 0 into 0
14.897 * [backup-simplify]: Simplify 0 into 0
14.897 * [backup-simplify]: Simplify (+ 0) into 0
14.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
14.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
14.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
14.899 * [backup-simplify]: Simplify (+ 0 0) into 0
14.899 * [backup-simplify]: Simplify (+ 0) into 0
14.900 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 1)) into 0
14.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0
14.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.901 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 0)) into 0
14.901 * [backup-simplify]: Simplify (+ 0 0) into 0
14.902 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 (sin (/ 1 ky)))) into 0
14.902 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 th)) (sin (/ 1 ky))) 0) (* 0 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.902 * [backup-simplify]: Simplify 0 into 0
14.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.904 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.905 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.905 * [backup-simplify]: Simplify (+ 0 0) into 0
14.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.907 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.908 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.913 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.914 * [backup-simplify]: Simplify (+ 0 0) into 0
14.915 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.916 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.917 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.918 * [backup-simplify]: Simplify (+ 0 0) into 0
14.918 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.921 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.922 * [backup-simplify]: Simplify (+ 0 0) into 0
14.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
14.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
14.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.925 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
14.925 * [backup-simplify]: Simplify (+ 0 0) into 0
14.926 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.926 * [backup-simplify]: Simplify (+ 0 0) into 0
14.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
14.928 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
14.930 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.930 * [backup-simplify]: Simplify (- 0) into 0
14.931 * [backup-simplify]: Simplify (+ 0 0) into 0
14.931 * [backup-simplify]: Simplify (+ 0 0) into 0
14.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 2) into 0
14.934 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))))) into 0
14.934 * [taylor]: Taking taylor expansion of 0 in ky
14.934 * [backup-simplify]: Simplify 0 into 0
14.934 * [taylor]: Taking taylor expansion of 0 in kx
14.934 * [backup-simplify]: Simplify 0 into 0
14.934 * [backup-simplify]: Simplify 0 into 0
14.934 * [taylor]: Taking taylor expansion of 0 in kx
14.934 * [backup-simplify]: Simplify 0 into 0
14.934 * [backup-simplify]: Simplify 0 into 0
14.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
14.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
14.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
14.938 * [backup-simplify]: Simplify (+ 0 0) into 0
14.939 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
14.939 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.940 * [backup-simplify]: Simplify (+ 0 0) into 0
14.940 * [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
14.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
14.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
14.943 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
14.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
14.944 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
14.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
14.945 * [backup-simplify]: Simplify (+ 0 0) into 0
14.946 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
14.947 * [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
14.947 * [taylor]: Taking taylor expansion of 0 in kx
14.947 * [backup-simplify]: Simplify 0 into 0
14.947 * [backup-simplify]: Simplify 0 into 0
14.947 * [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)))
14.948 * [backup-simplify]: Simplify (* (sin (/ 1 (- th))) (log1p (expm1 (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky)))))))) into (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
14.948 * [approximate]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in (th ky kx) around 0
14.948 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in kx
14.948 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
14.948 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
14.948 * [taylor]: Taking taylor expansion of -1 in kx
14.948 * [backup-simplify]: Simplify -1 into -1
14.948 * [taylor]: Taking taylor expansion of th in kx
14.948 * [backup-simplify]: Simplify th into th
14.948 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.948 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.948 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.948 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
14.948 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
14.948 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
14.948 * [taylor]: Taking taylor expansion of 1 in kx
14.948 * [backup-simplify]: Simplify 1 into 1
14.948 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
14.949 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
14.949 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
14.949 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
14.949 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
14.949 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
14.949 * [taylor]: Taking taylor expansion of -1 in kx
14.949 * [backup-simplify]: Simplify -1 into -1
14.949 * [taylor]: Taking taylor expansion of ky in kx
14.949 * [backup-simplify]: Simplify ky into ky
14.949 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.949 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.949 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.949 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
14.949 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.949 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
14.949 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
14.949 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.949 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.949 * [taylor]: Taking taylor expansion of -1 in kx
14.949 * [backup-simplify]: Simplify -1 into -1
14.949 * [taylor]: Taking taylor expansion of kx in kx
14.949 * [backup-simplify]: Simplify 0 into 0
14.949 * [backup-simplify]: Simplify 1 into 1
14.950 * [backup-simplify]: Simplify (/ -1 1) into -1
14.950 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.950 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
14.950 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
14.950 * [taylor]: Taking taylor expansion of -1 in kx
14.950 * [backup-simplify]: Simplify -1 into -1
14.950 * [taylor]: Taking taylor expansion of kx in kx
14.950 * [backup-simplify]: Simplify 0 into 0
14.950 * [backup-simplify]: Simplify 1 into 1
14.950 * [backup-simplify]: Simplify (/ -1 1) into -1
14.951 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.951 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
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 (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 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.951 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.952 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.952 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.952 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.952 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.952 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.952 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.952 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.952 * [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)))
14.953 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.953 * [backup-simplify]: Simplify (+ 0) into 0
14.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.954 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.955 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.955 * [backup-simplify]: Simplify (+ 0 0) into 0
14.956 * [backup-simplify]: Simplify (+ 0) into 0
14.956 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.957 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.958 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.958 * [backup-simplify]: Simplify (+ 0 0) into 0
14.958 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.959 * [backup-simplify]: Simplify (+ 0 0) into 0
14.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.959 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.959 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.959 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.960 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.960 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.960 * [taylor]: Taking taylor expansion of 1 in kx
14.960 * [backup-simplify]: Simplify 1 into 1
14.960 * [backup-simplify]: Simplify (- 1) into -1
14.961 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
14.961 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.962 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.962 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in ky
14.962 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
14.962 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
14.962 * [taylor]: Taking taylor expansion of -1 in ky
14.962 * [backup-simplify]: Simplify -1 into -1
14.962 * [taylor]: Taking taylor expansion of th in ky
14.962 * [backup-simplify]: Simplify th into th
14.962 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
14.962 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.962 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
14.962 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
14.962 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
14.962 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
14.962 * [taylor]: Taking taylor expansion of 1 in ky
14.962 * [backup-simplify]: Simplify 1 into 1
14.962 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
14.962 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
14.962 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
14.962 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
14.962 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.962 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.963 * [taylor]: Taking taylor expansion of -1 in ky
14.963 * [backup-simplify]: Simplify -1 into -1
14.963 * [taylor]: Taking taylor expansion of ky in ky
14.963 * [backup-simplify]: Simplify 0 into 0
14.963 * [backup-simplify]: Simplify 1 into 1
14.963 * [backup-simplify]: Simplify (/ -1 1) into -1
14.963 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.963 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
14.963 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.963 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
14.963 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
14.963 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.963 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.964 * [taylor]: Taking taylor expansion of -1 in ky
14.964 * [backup-simplify]: Simplify -1 into -1
14.964 * [taylor]: Taking taylor expansion of kx in ky
14.964 * [backup-simplify]: Simplify kx into kx
14.964 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.964 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.964 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.964 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
14.964 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
14.964 * [taylor]: Taking taylor expansion of -1 in ky
14.964 * [backup-simplify]: Simplify -1 into -1
14.964 * [taylor]: Taking taylor expansion of kx in ky
14.964 * [backup-simplify]: Simplify kx into kx
14.964 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.964 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.964 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.964 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
14.964 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.964 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.964 * [taylor]: Taking taylor expansion of -1 in ky
14.964 * [backup-simplify]: Simplify -1 into -1
14.964 * [taylor]: Taking taylor expansion of ky in ky
14.964 * [backup-simplify]: Simplify 0 into 0
14.964 * [backup-simplify]: Simplify 1 into 1
14.965 * [backup-simplify]: Simplify (/ -1 1) into -1
14.965 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.965 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
14.965 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
14.965 * [taylor]: Taking taylor expansion of -1 in ky
14.965 * [backup-simplify]: Simplify -1 into -1
14.965 * [taylor]: Taking taylor expansion of ky in ky
14.965 * [backup-simplify]: Simplify 0 into 0
14.965 * [backup-simplify]: Simplify 1 into 1
14.966 * [backup-simplify]: Simplify (/ -1 1) into -1
14.966 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.966 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.966 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.966 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.966 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.966 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.966 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.966 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.966 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.967 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.967 * [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)))
14.967 * [backup-simplify]: Simplify (+ 0) into 0
14.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.968 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.970 * [backup-simplify]: Simplify (+ 0 0) into 0
14.970 * [backup-simplify]: Simplify (+ 0) into 0
14.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.971 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.972 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.972 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.972 * [backup-simplify]: Simplify (+ 0 0) into 0
14.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
14.973 * [backup-simplify]: Simplify (+ 0 0) into 0
14.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
14.974 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.974 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.974 * [taylor]: Taking taylor expansion of 1 in ky
14.974 * [backup-simplify]: Simplify 1 into 1
14.974 * [backup-simplify]: Simplify (- 1) into -1
14.975 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
14.975 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.976 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.976 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in th
14.976 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
14.976 * [taylor]: Taking taylor expansion of (/ -1 th) in th
14.976 * [taylor]: Taking taylor expansion of -1 in th
14.976 * [backup-simplify]: Simplify -1 into -1
14.976 * [taylor]: Taking taylor expansion of th in th
14.976 * [backup-simplify]: Simplify 0 into 0
14.976 * [backup-simplify]: Simplify 1 into 1
14.976 * [backup-simplify]: Simplify (/ -1 1) into -1
14.976 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.976 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
14.976 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
14.976 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
14.976 * [taylor]: Taking taylor expansion of 1 in th
14.976 * [backup-simplify]: Simplify 1 into 1
14.977 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
14.977 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
14.977 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
14.977 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
14.977 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.977 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.977 * [taylor]: Taking taylor expansion of -1 in th
14.977 * [backup-simplify]: Simplify -1 into -1
14.977 * [taylor]: Taking taylor expansion of ky in th
14.977 * [backup-simplify]: Simplify ky into ky
14.977 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.977 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.977 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.977 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
14.977 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.977 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
14.977 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
14.977 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
14.977 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
14.977 * [taylor]: Taking taylor expansion of -1 in th
14.977 * [backup-simplify]: Simplify -1 into -1
14.977 * [taylor]: Taking taylor expansion of kx in th
14.977 * [backup-simplify]: Simplify kx into kx
14.977 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.977 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.977 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.977 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
14.977 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
14.978 * [taylor]: Taking taylor expansion of -1 in th
14.978 * [backup-simplify]: Simplify -1 into -1
14.978 * [taylor]: Taking taylor expansion of kx in th
14.978 * [backup-simplify]: Simplify kx into kx
14.978 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.978 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.978 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.978 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
14.978 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.978 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.978 * [taylor]: Taking taylor expansion of -1 in th
14.978 * [backup-simplify]: Simplify -1 into -1
14.978 * [taylor]: Taking taylor expansion of ky in th
14.978 * [backup-simplify]: Simplify ky into ky
14.978 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.978 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.978 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.978 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.978 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.978 * [taylor]: Taking taylor expansion of -1 in th
14.978 * [backup-simplify]: Simplify -1 into -1
14.978 * [taylor]: Taking taylor expansion of ky in th
14.978 * [backup-simplify]: Simplify ky into ky
14.978 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.978 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.978 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.979 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.979 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.979 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.979 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.979 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.979 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.979 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.979 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.979 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.979 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.979 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.980 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.980 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.980 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.980 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
14.980 * [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 (+ 0) into 0
14.981 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
14.981 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
14.982 * [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
14.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.985 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
14.986 * [backup-simplify]: Simplify (+ 0 0) into 0
14.986 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
14.986 * [backup-simplify]: Simplify (+ 0) into 0
14.987 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.987 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.988 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.988 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
14.988 * [backup-simplify]: Simplify (+ 0 0) into 0
14.989 * [backup-simplify]: Simplify (+ 0) into 0
14.989 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
14.989 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
14.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
14.991 * [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
14.992 * [backup-simplify]: Simplify (+ 0 0) into 0
14.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
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 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.993 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.993 * [taylor]: Taking taylor expansion of 1 in th
14.993 * [backup-simplify]: Simplify 1 into 1
14.993 * [backup-simplify]: Simplify (- 1) into -1
14.994 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
14.994 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
14.994 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
14.994 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))) in th
14.994 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in th
14.994 * [taylor]: Taking taylor expansion of (/ -1 th) in th
14.994 * [taylor]: Taking taylor expansion of -1 in th
14.994 * [backup-simplify]: Simplify -1 into -1
14.995 * [taylor]: Taking taylor expansion of th in th
14.995 * [backup-simplify]: Simplify 0 into 0
14.995 * [backup-simplify]: Simplify 1 into 1
14.995 * [backup-simplify]: Simplify (/ -1 1) into -1
14.995 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
14.995 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
14.995 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
14.995 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in th
14.995 * [taylor]: Taking taylor expansion of 1 in th
14.995 * [backup-simplify]: Simplify 1 into 1
14.995 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
14.996 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
14.996 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in th
14.996 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in th
14.996 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.996 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.996 * [taylor]: Taking taylor expansion of -1 in th
14.996 * [backup-simplify]: Simplify -1 into -1
14.996 * [taylor]: Taking taylor expansion of ky in th
14.996 * [backup-simplify]: Simplify ky into ky
14.996 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.996 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.996 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.996 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in th
14.996 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
14.996 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in th
14.996 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in th
14.996 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
14.996 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
14.996 * [taylor]: Taking taylor expansion of -1 in th
14.996 * [backup-simplify]: Simplify -1 into -1
14.996 * [taylor]: Taking taylor expansion of kx in th
14.997 * [backup-simplify]: Simplify kx into kx
14.997 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.997 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.997 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.997 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in th
14.997 * [taylor]: Taking taylor expansion of (/ -1 kx) in th
14.997 * [taylor]: Taking taylor expansion of -1 in th
14.997 * [backup-simplify]: Simplify -1 into -1
14.997 * [taylor]: Taking taylor expansion of kx in th
14.997 * [backup-simplify]: Simplify kx into kx
14.997 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
14.997 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
14.997 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
14.997 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in th
14.997 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.997 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.997 * [taylor]: Taking taylor expansion of -1 in th
14.997 * [backup-simplify]: Simplify -1 into -1
14.997 * [taylor]: Taking taylor expansion of ky in th
14.997 * [backup-simplify]: Simplify ky into ky
14.997 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.997 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.997 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.997 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in th
14.998 * [taylor]: Taking taylor expansion of (/ -1 ky) in th
14.998 * [taylor]: Taking taylor expansion of -1 in th
14.998 * [backup-simplify]: Simplify -1 into -1
14.998 * [taylor]: Taking taylor expansion of ky in th
14.998 * [backup-simplify]: Simplify ky into ky
14.998 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
14.998 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
14.998 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
14.998 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.998 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.998 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.998 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
14.998 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
14.998 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
14.998 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
14.999 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.999 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.999 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.999 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
14.999 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
14.999 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
14.999 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
14.999 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.000 * [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)))
15.000 * [backup-simplify]: Simplify (+ 0) into 0
15.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.001 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.002 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.002 * [backup-simplify]: Simplify (+ 0 0) into 0
15.003 * [backup-simplify]: Simplify (+ 0) into 0
15.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.003 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.004 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.005 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.005 * [backup-simplify]: Simplify (+ 0 0) into 0
15.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.005 * [backup-simplify]: Simplify (+ 0) into 0
15.006 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.006 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.007 * [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
15.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.009 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.009 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.010 * [backup-simplify]: Simplify (+ 0 0) into 0
15.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.010 * [backup-simplify]: Simplify (+ 0 0) into 0
15.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.011 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.011 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.011 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.011 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.011 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.011 * [taylor]: Taking taylor expansion of 1 in th
15.011 * [backup-simplify]: Simplify 1 into 1
15.011 * [backup-simplify]: Simplify (- 1) into -1
15.011 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.012 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.012 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.012 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))
15.012 * [taylor]: Taking taylor expansion of (* (* (sin (/ -1 th)) (sin (/ -1 ky))) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky
15.012 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in ky
15.012 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in ky
15.012 * [taylor]: Taking taylor expansion of (/ -1 th) in ky
15.012 * [taylor]: Taking taylor expansion of -1 in ky
15.012 * [backup-simplify]: Simplify -1 into -1
15.012 * [taylor]: Taking taylor expansion of th in ky
15.012 * [backup-simplify]: Simplify th into th
15.012 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.012 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.012 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.012 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.012 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.012 * [taylor]: Taking taylor expansion of -1 in ky
15.012 * [backup-simplify]: Simplify -1 into -1
15.012 * [taylor]: Taking taylor expansion of ky in ky
15.013 * [backup-simplify]: Simplify 0 into 0
15.013 * [backup-simplify]: Simplify 1 into 1
15.013 * [backup-simplify]: Simplify (/ -1 1) into -1
15.013 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky
15.013 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky
15.013 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky
15.013 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky
15.013 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.013 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.013 * [taylor]: Taking taylor expansion of -1 in ky
15.013 * [backup-simplify]: Simplify -1 into -1
15.013 * [taylor]: Taking taylor expansion of kx in ky
15.013 * [backup-simplify]: Simplify kx into kx
15.013 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.013 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.013 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.013 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.013 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.013 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.013 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky
15.013 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.013 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.013 * [taylor]: Taking taylor expansion of -1 in ky
15.013 * [backup-simplify]: Simplify -1 into -1
15.013 * [taylor]: Taking taylor expansion of ky in ky
15.013 * [backup-simplify]: Simplify 0 into 0
15.013 * [backup-simplify]: Simplify 1 into 1
15.014 * [backup-simplify]: Simplify (/ -1 1) into -1
15.014 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.014 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.014 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.014 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.014 * [backup-simplify]: Simplify (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) into (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))
15.014 * [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))))
15.015 * [backup-simplify]: Simplify (+ 0) into 0
15.015 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.015 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.015 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.016 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.016 * [backup-simplify]: Simplify (+ 0 0) into 0
15.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.017 * [backup-simplify]: Simplify (+ 0 0) into 0
15.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.017 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.017 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.017 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.017 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.017 * [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)))))
15.017 * [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
15.018 * [taylor]: Taking taylor expansion of (* (sin (/ -1 th)) (sin (/ -1 ky))) in kx
15.018 * [taylor]: Taking taylor expansion of (sin (/ -1 th)) in kx
15.018 * [taylor]: Taking taylor expansion of (/ -1 th) in kx
15.018 * [taylor]: Taking taylor expansion of -1 in kx
15.018 * [backup-simplify]: Simplify -1 into -1
15.018 * [taylor]: Taking taylor expansion of th in kx
15.018 * [backup-simplify]: Simplify th into th
15.018 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th)
15.018 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th))
15.018 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th))
15.018 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.018 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.018 * [taylor]: Taking taylor expansion of -1 in kx
15.018 * [backup-simplify]: Simplify -1 into -1
15.018 * [taylor]: Taking taylor expansion of ky in kx
15.018 * [backup-simplify]: Simplify ky into ky
15.018 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.018 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.018 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.018 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.018 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.018 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.018 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.018 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.018 * [taylor]: Taking taylor expansion of -1 in kx
15.018 * [backup-simplify]: Simplify -1 into -1
15.018 * [taylor]: Taking taylor expansion of kx in kx
15.018 * [backup-simplify]: Simplify 0 into 0
15.018 * [backup-simplify]: Simplify 1 into 1
15.018 * [backup-simplify]: Simplify (/ -1 1) into -1
15.018 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.018 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.018 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.019 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.019 * [taylor]: Taking taylor expansion of -1 in kx
15.019 * [backup-simplify]: Simplify -1 into -1
15.019 * [taylor]: Taking taylor expansion of ky in kx
15.019 * [backup-simplify]: Simplify ky into ky
15.019 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.019 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.019 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.019 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.019 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.019 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.019 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.019 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.019 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.019 * [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)))
15.019 * [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))))
15.019 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.020 * [backup-simplify]: Simplify (+ 0) into 0
15.020 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.020 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.021 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.021 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.021 * [backup-simplify]: Simplify (+ 0 0) into 0
15.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.021 * [backup-simplify]: Simplify (+ 0 0) into 0
15.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) (/ 0 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.022 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 1) into (sin (/ -1 th))
15.022 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 0) into 0
15.022 * [backup-simplify]: Simplify (+ (sin (/ -1 th)) 0) into (sin (/ -1 th))
15.022 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.022 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.022 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.022 * [backup-simplify]: Simplify (* (sin (/ -1 th)) (sin (/ -1 ky))) into (* (sin (/ -1 th)) (sin (/ -1 ky)))
15.022 * [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)))))
15.023 * [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)))))
15.023 * [backup-simplify]: Simplify (+ 0) into 0
15.023 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.023 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.024 * [backup-simplify]: Simplify (+ 0 0) into 0
15.025 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.025 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.026 * [backup-simplify]: Simplify (- 0) into 0
15.026 * [backup-simplify]: Simplify (+ 0 0) into 0
15.026 * [backup-simplify]: Simplify (+ 0 0) into 0
15.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 1) into 0
15.027 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into 0
15.027 * [taylor]: Taking taylor expansion of 0 in ky
15.027 * [backup-simplify]: Simplify 0 into 0
15.027 * [taylor]: Taking taylor expansion of 0 in kx
15.027 * [backup-simplify]: Simplify 0 into 0
15.027 * [backup-simplify]: Simplify 0 into 0
15.027 * [backup-simplify]: Simplify (+ 0) into 0
15.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.028 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.028 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.029 * [backup-simplify]: Simplify (+ 0 0) into 0
15.029 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.029 * [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
15.029 * [taylor]: Taking taylor expansion of 0 in kx
15.029 * [backup-simplify]: Simplify 0 into 0
15.029 * [backup-simplify]: Simplify 0 into 0
15.029 * [backup-simplify]: Simplify (+ 0) into 0
15.030 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.030 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.031 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.031 * [backup-simplify]: Simplify (+ 0 0) into 0
15.031 * [backup-simplify]: Simplify (+ 0) into 0
15.031 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 1)) into 0
15.031 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0
15.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.032 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 0)) into 0
15.032 * [backup-simplify]: Simplify (+ 0 0) into 0
15.033 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.033 * [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
15.033 * [backup-simplify]: Simplify 0 into 0
15.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.034 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.034 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.035 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.035 * [backup-simplify]: Simplify (+ 0 0) into 0
15.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.036 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.036 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.036 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.037 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.037 * [backup-simplify]: Simplify (+ 0 0) into 0
15.038 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.038 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.039 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.040 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.040 * [backup-simplify]: Simplify (+ 0 0) into 0
15.041 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.043 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.043 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.044 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.045 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.045 * [backup-simplify]: Simplify (+ 0 0) into 0
15.047 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.047 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.048 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.048 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.049 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.049 * [backup-simplify]: Simplify (+ 0 0) into 0
15.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.056 * [backup-simplify]: Simplify (+ 0 0) into 0
15.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.058 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.060 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.060 * [backup-simplify]: Simplify (- 0) into 0
15.061 * [backup-simplify]: Simplify (+ 0 0) into 0
15.061 * [backup-simplify]: Simplify (+ 0 0) into 0
15.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 2) into 0
15.064 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))))) into 0
15.064 * [taylor]: Taking taylor expansion of 0 in ky
15.065 * [backup-simplify]: Simplify 0 into 0
15.065 * [taylor]: Taking taylor expansion of 0 in kx
15.065 * [backup-simplify]: Simplify 0 into 0
15.065 * [backup-simplify]: Simplify 0 into 0
15.065 * [taylor]: Taking taylor expansion of 0 in kx
15.065 * [backup-simplify]: Simplify 0 into 0
15.065 * [backup-simplify]: Simplify 0 into 0
15.066 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.067 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.067 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.068 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.068 * [backup-simplify]: Simplify (+ 0 0) into 0
15.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.070 * [backup-simplify]: Simplify (+ 0 0) into 0
15.071 * [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
15.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.072 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0
15.073 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0
15.074 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.075 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0
15.075 * [backup-simplify]: Simplify (+ 0 0) into 0
15.076 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.076 * [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
15.076 * [taylor]: Taking taylor expansion of 0 in kx
15.076 * [backup-simplify]: Simplify 0 into 0
15.077 * [backup-simplify]: Simplify 0 into 0
15.077 * [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)))
15.077 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
15.077 * [backup-simplify]: Simplify (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) into (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
15.077 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in (ky kx) around 0
15.077 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
15.078 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.078 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in kx
15.078 * [taylor]: Taking taylor expansion of 1 in kx
15.078 * [backup-simplify]: Simplify 1 into 1
15.078 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.078 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.078 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in kx
15.078 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in kx
15.078 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.078 * [taylor]: Taking taylor expansion of ky in kx
15.078 * [backup-simplify]: Simplify ky into ky
15.078 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.078 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.078 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in kx
15.078 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.078 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in kx
15.078 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in kx
15.078 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.078 * [taylor]: Taking taylor expansion of kx in kx
15.078 * [backup-simplify]: Simplify 0 into 0
15.078 * [backup-simplify]: Simplify 1 into 1
15.078 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.078 * [taylor]: Taking taylor expansion of kx in kx
15.078 * [backup-simplify]: Simplify 0 into 0
15.078 * [backup-simplify]: Simplify 1 into 1
15.078 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in kx
15.078 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.078 * [taylor]: Taking taylor expansion of ky in kx
15.078 * [backup-simplify]: Simplify ky into ky
15.078 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.078 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.078 * [taylor]: Taking taylor expansion of (sin ky) in kx
15.078 * [taylor]: Taking taylor expansion of ky in kx
15.078 * [backup-simplify]: Simplify ky into ky
15.079 * [backup-simplify]: Simplify (sin ky) into (sin ky)
15.079 * [backup-simplify]: Simplify (cos ky) into (cos ky)
15.079 * [backup-simplify]: Simplify (* 0 0) into 0
15.079 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.079 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.079 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.079 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.079 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.079 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.080 * [backup-simplify]: Simplify (* (sin ky) (sin ky)) into (pow (sin ky) 2)
15.080 * [backup-simplify]: Simplify (+ 0 (pow (sin ky) 2)) into (pow (sin ky) 2)
15.080 * [backup-simplify]: Simplify (sqrt (pow (sin ky) 2)) into (sin ky)
15.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.082 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.082 * [backup-simplify]: Simplify (+ 0) into 0
15.083 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.084 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.084 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.084 * [backup-simplify]: Simplify (+ 0 0) into 0
15.085 * [backup-simplify]: Simplify (+ 0) into 0
15.085 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 1)) into 0
15.086 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.087 * [backup-simplify]: Simplify (+ (* (cos ky) 0) (* 0 0)) into 0
15.087 * [backup-simplify]: Simplify (+ 0 0) into 0
15.087 * [backup-simplify]: Simplify (+ (* (sin ky) 0) (* 0 (sin ky))) into 0
15.087 * [backup-simplify]: Simplify (+ 0 0) into 0
15.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin ky) 2)))) into 0
15.088 * [backup-simplify]: Simplify (* (sin ky) 1) into (sin ky)
15.088 * [backup-simplify]: Simplify (* (cos ky) 0) into 0
15.088 * [backup-simplify]: Simplify (+ (sin ky) 0) into (sin ky)
15.088 * [backup-simplify]: Simplify (/ (sin ky) (sin ky)) into 1
15.088 * [backup-simplify]: Simplify (exp 1) into E
15.088 * [taylor]: Taking taylor expansion of 1 in kx
15.088 * [backup-simplify]: Simplify 1 into 1
15.088 * [backup-simplify]: Simplify (- 1) into -1
15.089 * [backup-simplify]: Simplify (+ E -1) into (- E 1)
15.090 * [backup-simplify]: Simplify (+ 1 (- E 1)) into E
15.090 * [backup-simplify]: Simplify (log E) into 1
15.090 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.090 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.090 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.090 * [taylor]: Taking taylor expansion of 1 in ky
15.090 * [backup-simplify]: Simplify 1 into 1
15.090 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.090 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.090 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.090 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.090 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.090 * [taylor]: Taking taylor expansion of ky in ky
15.090 * [backup-simplify]: Simplify 0 into 0
15.090 * [backup-simplify]: Simplify 1 into 1
15.090 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.090 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.090 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.090 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.090 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.090 * [taylor]: Taking taylor expansion of kx in ky
15.090 * [backup-simplify]: Simplify kx into kx
15.090 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.090 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.090 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.091 * [taylor]: Taking taylor expansion of kx in ky
15.091 * [backup-simplify]: Simplify kx into kx
15.091 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.091 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.091 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.091 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.091 * [taylor]: Taking taylor expansion of ky in ky
15.091 * [backup-simplify]: Simplify 0 into 0
15.091 * [backup-simplify]: Simplify 1 into 1
15.091 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.091 * [taylor]: Taking taylor expansion of ky in ky
15.091 * [backup-simplify]: Simplify 0 into 0
15.091 * [backup-simplify]: Simplify 1 into 1
15.091 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.091 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.091 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.091 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.091 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.091 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.091 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.092 * [backup-simplify]: Simplify (* 0 0) into 0
15.092 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.092 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.092 * [backup-simplify]: Simplify (+ 0) into 0
15.093 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.094 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.094 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.094 * [backup-simplify]: Simplify (+ 0 0) into 0
15.095 * [backup-simplify]: Simplify (+ 0) into 0
15.095 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.096 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.096 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.097 * [backup-simplify]: Simplify (+ 0 0) into 0
15.097 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.099 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.100 * [backup-simplify]: Simplify (+ 0 0) into 0
15.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.101 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.101 * [backup-simplify]: Simplify (exp 0) into 1
15.101 * [taylor]: Taking taylor expansion of 1 in ky
15.101 * [backup-simplify]: Simplify 1 into 1
15.101 * [backup-simplify]: Simplify (- 1) into -1
15.102 * [backup-simplify]: Simplify (+ 1 -1) into 0
15.102 * [backup-simplify]: Simplify (+ 1 0) into 1
15.102 * [backup-simplify]: Simplify (log 1) into 0
15.102 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.102 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
15.103 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) in ky
15.103 * [taylor]: Taking taylor expansion of 1 in ky
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [taylor]: Taking taylor expansion of (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.103 * [taylor]: Rewrote expression to (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1)
15.103 * [taylor]: Taking taylor expansion of (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) in ky
15.103 * [taylor]: Taking taylor expansion of (/ (sin ky) (hypot (sin kx) (sin ky))) in ky
15.103 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.103 * [taylor]: Taking taylor expansion of ky in ky
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [taylor]: Taking taylor expansion of (hypot (sin kx) (sin ky)) in ky
15.103 * [taylor]: Rewrote expression to (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
15.103 * [taylor]: Taking taylor expansion of (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))) in ky
15.103 * [taylor]: Taking taylor expansion of (* (sin kx) (sin kx)) in ky
15.103 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.103 * [taylor]: Taking taylor expansion of kx in ky
15.103 * [backup-simplify]: Simplify kx into kx
15.103 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.103 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.103 * [taylor]: Taking taylor expansion of (sin kx) in ky
15.103 * [taylor]: Taking taylor expansion of kx in ky
15.103 * [backup-simplify]: Simplify kx into kx
15.103 * [backup-simplify]: Simplify (sin kx) into (sin kx)
15.103 * [backup-simplify]: Simplify (cos kx) into (cos kx)
15.103 * [taylor]: Taking taylor expansion of (* (sin ky) (sin ky)) in ky
15.103 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.103 * [taylor]: Taking taylor expansion of ky in ky
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 1 into 1
15.103 * [taylor]: Taking taylor expansion of (sin ky) in ky
15.103 * [taylor]: Taking taylor expansion of ky in ky
15.103 * [backup-simplify]: Simplify 0 into 0
15.103 * [backup-simplify]: Simplify 1 into 1
15.104 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.104 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (sin kx) 1) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (cos kx) 0) into 0
15.104 * [backup-simplify]: Simplify (+ (sin kx) 0) into (sin kx)
15.104 * [backup-simplify]: Simplify (* (sin kx) (sin kx)) into (pow (sin kx) 2)
15.104 * [backup-simplify]: Simplify (* 0 0) into 0
15.105 * [backup-simplify]: Simplify (+ (pow (sin kx) 2) 0) into (pow (sin kx) 2)
15.105 * [backup-simplify]: Simplify (sqrt (pow (sin kx) 2)) into (sin kx)
15.105 * [backup-simplify]: Simplify (+ 0) into 0
15.106 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.107 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.107 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.108 * [backup-simplify]: Simplify (+ 0 0) into 0
15.108 * [backup-simplify]: Simplify (+ 0) into 0
15.108 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 1)) into 0
15.109 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.110 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (* 0 0)) into 0
15.110 * [backup-simplify]: Simplify (+ 0 0) into 0
15.110 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (* 0 (sin kx))) into 0
15.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
15.113 * [backup-simplify]: Simplify (+ 0 0) into 0
15.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sin kx) 2)))) into 0
15.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.114 * [backup-simplify]: Simplify (/ 1 (sin kx)) into (/ 1 (sin kx))
15.114 * [backup-simplify]: Simplify (exp 0) into 1
15.114 * [taylor]: Taking taylor expansion of 1 in ky
15.114 * [backup-simplify]: Simplify 1 into 1
15.114 * [backup-simplify]: Simplify (- 1) into -1
15.114 * [backup-simplify]: Simplify (+ 1 -1) into 0
15.115 * [backup-simplify]: Simplify (+ 1 0) into 1
15.115 * [backup-simplify]: Simplify (log 1) into 0
15.115 * [taylor]: Taking taylor expansion of 0 in kx
15.115 * [backup-simplify]: Simplify 0 into 0
15.115 * [backup-simplify]: Simplify 0 into 0
15.116 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 1) 1)))) into (/ 1 (sin kx))
15.116 * [backup-simplify]: Simplify (- 0) into 0
15.116 * [backup-simplify]: Simplify (+ (/ 1 (sin kx)) 0) into (/ 1 (sin kx))
15.116 * [backup-simplify]: Simplify (+ 0 (/ 1 (sin kx))) into (/ 1 (sin kx))
15.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 (sin kx))) 1)) (pow 1 1)))) 1) into (/ 1 (sin kx))
15.117 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.117 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.117 * [taylor]: Taking taylor expansion of kx in kx
15.117 * [backup-simplify]: Simplify 0 into 0
15.117 * [backup-simplify]: Simplify 1 into 1
15.118 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.118 * [backup-simplify]: Simplify (/ 1 1) into 1
15.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.119 * [backup-simplify]: Simplify 0 into 0
15.120 * [backup-simplify]: Simplify 0 into 0
15.120 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.121 * [backup-simplify]: Simplify (- (/ 0 (sin kx)) (+ (* (/ 1 (sin kx)) (/ 0 (sin kx))))) into 0
15.121 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (sin kx) 2))
15.122 * [backup-simplify]: Simplify (- 0) into 0
15.122 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (sin kx) 2)) 0) into (* 1/2 (/ 1 (pow (sin kx) 2)))
15.122 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (sin kx) 2)))) into (* 1/2 (/ 1 (pow (sin kx) 2)))
15.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 (sin kx))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 1)) (pow 1 1)))) 2) into 0
15.123 * [taylor]: Taking taylor expansion of 0 in kx
15.123 * [backup-simplify]: Simplify 0 into 0
15.123 * [backup-simplify]: Simplify 0 into 0
15.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/6 1)) (* 0 (/ 0 1)))) into 1/6
15.126 * [backup-simplify]: Simplify 1/6 into 1/6
15.126 * [backup-simplify]: Simplify 0 into 0
15.128 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.130 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.131 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.132 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.132 * [backup-simplify]: Simplify (+ 0 0) into 0
15.133 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.134 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 1))) into 0
15.134 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.134 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (* 0 0))) into 0
15.135 * [backup-simplify]: Simplify (+ 0 0) into 0
15.135 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (* 0 (sin kx)))) into 0
15.135 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
15.137 * [backup-simplify]: Simplify (+ 0 1) into 1
15.137 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sin kx))) into (/ 1/2 (sin kx))
15.137 * [backup-simplify]: Simplify (- (/ -1/6 (sin kx)) (+ (* (/ 1 (sin kx)) (/ (/ 1/2 (sin kx)) (sin kx))) (* 0 (/ 0 (sin kx))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))
15.138 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 3) 6)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)))) into (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
15.138 * [backup-simplify]: Simplify (- 0) into 0
15.139 * [backup-simplify]: Simplify (+ (* -1 (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3))))) 0) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
15.139 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))) into (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))
15.140 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 (sin kx))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 (sin kx))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))) 1)) (pow 1 1)))) 6) into (* -1/6 (+ (/ 1 (sin kx)) (* 3 (/ 1 (pow (sin kx) 3)))))
15.140 * [taylor]: Taking taylor expansion of (* -1/6 (+ (/ 1 (sin kx)) (* 3 (/ 1 (pow (sin kx) 3))))) in kx
15.140 * [taylor]: Taking taylor expansion of -1/6 in kx
15.140 * [backup-simplify]: Simplify -1/6 into -1/6
15.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (sin kx)) (* 3 (/ 1 (pow (sin kx) 3)))) in kx
15.140 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx
15.140 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.140 * [taylor]: Taking taylor expansion of kx in kx
15.140 * [backup-simplify]: Simplify 0 into 0
15.140 * [backup-simplify]: Simplify 1 into 1
15.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.141 * [backup-simplify]: Simplify (/ 1 1) into 1
15.141 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow (sin kx) 3))) in kx
15.141 * [taylor]: Taking taylor expansion of 3 in kx
15.141 * [backup-simplify]: Simplify 3 into 3
15.141 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx
15.141 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx
15.141 * [taylor]: Taking taylor expansion of (sin kx) in kx
15.141 * [taylor]: Taking taylor expansion of kx in kx
15.141 * [backup-simplify]: Simplify 0 into 0
15.141 * [backup-simplify]: Simplify 1 into 1
15.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.142 * [backup-simplify]: Simplify (* 1 1) into 1
15.142 * [backup-simplify]: Simplify (* 1 1) into 1
15.142 * [backup-simplify]: Simplify (/ 1 1) into 1
15.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.144 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.144 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0
15.147 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3
15.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/3) (+ (* -1/6 0) (* 0 1)))) into 0
15.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
15.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.149 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2
15.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ -1/2 1)) (* 0 (/ 0 1)))) into 1/2
15.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/2 1)) (* 1/2 (/ 0 1)))) into 0
15.151 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 1)))) into 0
15.152 * [backup-simplify]: Simplify (+ 0 0) into 0
15.152 * [backup-simplify]: Simplify (+ (* 3 1/2) (+ (* 0 0) (* 0 1))) into 3/2
15.153 * [backup-simplify]: Simplify (+ 1 3/2) into 5/2
15.153 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0
15.153 * [backup-simplify]: Simplify (+ 0 0) into 0
15.154 * [backup-simplify]: Simplify (* 3 1) into 3
15.154 * [backup-simplify]: Simplify (+ 0 3) into 3
15.155 * [backup-simplify]: Simplify (+ (* -1/6 0) (+ (* 0 5/2) (+ (* 0 0) (* 0 3)))) into 0
15.155 * [backup-simplify]: Simplify 0 into 0
15.155 * [backup-simplify]: Simplify 0 into 0
15.156 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ -1/6 1)) (* 1/6 (/ 0 1)))) into 0
15.157 * [backup-simplify]: Simplify 0 into 0
15.157 * [backup-simplify]: Simplify 0 into 0
15.157 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.158 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.159 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.160 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.160 * [backup-simplify]: Simplify (+ 0 0) into 0
15.161 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.161 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.162 * [backup-simplify]: Simplify (+ (* (cos kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.163 * [backup-simplify]: Simplify (+ 0 0) into 0
15.163 * [backup-simplify]: Simplify (+ (* (sin kx) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin kx))))) into 0
15.164 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.166 * [backup-simplify]: Simplify (+ (* 0 -1/6) (+ (* 1 0) (+ (* 0 1) (* -1/6 0)))) into 0
15.166 * [backup-simplify]: Simplify (+ 0 0) into 0
15.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sin kx)))))) (* 2 (sin kx))) into 0
15.167 * [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
15.168 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 (sin kx)) 4) 24)) (* (/ (pow (/ 1 (sin kx)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ 1 (sin kx)) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
15.169 * [backup-simplify]: Simplify (- 0) into 0
15.169 * [backup-simplify]: Simplify (+ (* -1 (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2))))) 0) into (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
15.169 * [backup-simplify]: Simplify (+ 0 (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))) into (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))
15.171 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 (sin kx))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 (sin kx))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (sin kx) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 (sin kx))) 1) 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/3 (/ 1 (pow (sin kx) 3)))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (+ (* 11/24 (/ 1 (pow (sin kx) 4))) (* 1/6 (/ 1 (pow (sin kx) 2)))))) 1)) (pow 1 1)))) 24) into 0
15.171 * [taylor]: Taking taylor expansion of 0 in kx
15.171 * [backup-simplify]: Simplify 0 into 0
15.171 * [backup-simplify]: Simplify 0 into 0
15.172 * [backup-simplify]: Simplify (* 1/6 (* kx ky)) into (* 1/6 (* kx ky))
15.172 * [backup-simplify]: Simplify (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) into (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))))
15.172 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in (ky kx) around 0
15.172 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
15.172 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.172 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in kx
15.172 * [taylor]: Taking taylor expansion of 1 in kx
15.172 * [backup-simplify]: Simplify 1 into 1
15.172 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
15.172 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.172 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in kx
15.172 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in kx
15.172 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.172 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.172 * [taylor]: Taking taylor expansion of ky in kx
15.172 * [backup-simplify]: Simplify ky into ky
15.172 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.172 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.172 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.172 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in kx
15.172 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.172 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in kx
15.172 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in kx
15.172 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.172 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.172 * [taylor]: Taking taylor expansion of kx in kx
15.172 * [backup-simplify]: Simplify 0 into 0
15.172 * [backup-simplify]: Simplify 1 into 1
15.172 * [backup-simplify]: Simplify (/ 1 1) into 1
15.173 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.173 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.173 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.173 * [taylor]: Taking taylor expansion of kx in kx
15.173 * [backup-simplify]: Simplify 0 into 0
15.173 * [backup-simplify]: Simplify 1 into 1
15.173 * [backup-simplify]: Simplify (/ 1 1) into 1
15.173 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.173 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in kx
15.173 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.173 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.173 * [taylor]: Taking taylor expansion of ky in kx
15.173 * [backup-simplify]: Simplify ky into ky
15.173 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.173 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.173 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.173 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.173 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.173 * [taylor]: Taking taylor expansion of ky in kx
15.173 * [backup-simplify]: Simplify ky into ky
15.173 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.173 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.173 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
15.173 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.173 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.174 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.174 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.174 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.174 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.174 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.174 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.174 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.174 * [backup-simplify]: Simplify (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) into (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))
15.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.174 * [backup-simplify]: Simplify (+ 0) into 0
15.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.180 * [backup-simplify]: Simplify (+ 0 0) into 0
15.180 * [backup-simplify]: Simplify (+ 0) into 0
15.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.181 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.181 * [backup-simplify]: Simplify (+ 0 0) into 0
15.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.182 * [backup-simplify]: Simplify (+ 0 0) into 0
15.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.182 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.182 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.182 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.182 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.182 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.182 * [taylor]: Taking taylor expansion of 1 in kx
15.182 * [backup-simplify]: Simplify 1 into 1
15.183 * [backup-simplify]: Simplify (- 1) into -1
15.183 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.183 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.183 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.183 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
15.183 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.184 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
15.184 * [taylor]: Taking taylor expansion of 1 in ky
15.184 * [backup-simplify]: Simplify 1 into 1
15.184 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.184 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.184 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.184 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.184 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.184 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.184 * [taylor]: Taking taylor expansion of ky in ky
15.184 * [backup-simplify]: Simplify 0 into 0
15.184 * [backup-simplify]: Simplify 1 into 1
15.184 * [backup-simplify]: Simplify (/ 1 1) into 1
15.184 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.184 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.184 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.184 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.184 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.184 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.184 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.184 * [taylor]: Taking taylor expansion of kx in ky
15.184 * [backup-simplify]: Simplify kx into kx
15.184 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.184 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.184 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.184 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.184 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.184 * [taylor]: Taking taylor expansion of kx in ky
15.184 * [backup-simplify]: Simplify kx into kx
15.184 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.184 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.184 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.184 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.185 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.185 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.185 * [taylor]: Taking taylor expansion of ky in ky
15.185 * [backup-simplify]: Simplify 0 into 0
15.185 * [backup-simplify]: Simplify 1 into 1
15.185 * [backup-simplify]: Simplify (/ 1 1) into 1
15.185 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.185 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.185 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.185 * [taylor]: Taking taylor expansion of ky in ky
15.185 * [backup-simplify]: Simplify 0 into 0
15.185 * [backup-simplify]: Simplify 1 into 1
15.185 * [backup-simplify]: Simplify (/ 1 1) into 1
15.185 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.185 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.185 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.185 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.185 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.186 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.186 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.186 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.186 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.186 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.186 * [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)))
15.186 * [backup-simplify]: Simplify (+ 0) into 0
15.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.187 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.188 * [backup-simplify]: Simplify (+ 0 0) into 0
15.188 * [backup-simplify]: Simplify (+ 0) into 0
15.188 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.189 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.189 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.189 * [backup-simplify]: Simplify (+ 0 0) into 0
15.189 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.189 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.190 * [backup-simplify]: Simplify (+ 0 0) into 0
15.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.190 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.190 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.190 * [taylor]: Taking taylor expansion of 1 in ky
15.190 * [backup-simplify]: Simplify 1 into 1
15.191 * [backup-simplify]: Simplify (- 1) into -1
15.191 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.191 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.191 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.191 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
15.191 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))))
15.191 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))))) in ky
15.191 * [taylor]: Taking taylor expansion of 1 in ky
15.191 * [backup-simplify]: Simplify 1 into 1
15.191 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.191 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) 1)
15.191 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky))))) in ky
15.191 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 ky)) (hypot (sin (/ 1 kx)) (sin (/ 1 ky)))) in ky
15.191 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.191 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.191 * [taylor]: Taking taylor expansion of ky in ky
15.191 * [backup-simplify]: Simplify 0 into 0
15.191 * [backup-simplify]: Simplify 1 into 1
15.192 * [backup-simplify]: Simplify (/ 1 1) into 1
15.192 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.192 * [taylor]: Taking taylor expansion of (hypot (sin (/ 1 kx)) (sin (/ 1 ky))) in ky
15.192 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))))
15.192 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 kx)) (sin (/ 1 kx))) (* (sin (/ 1 ky)) (sin (/ 1 ky)))) in ky
15.192 * [taylor]: Taking taylor expansion of (* (sin (/ 1 kx)) (sin (/ 1 kx))) in ky
15.192 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.192 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.192 * [taylor]: Taking taylor expansion of kx in ky
15.192 * [backup-simplify]: Simplify kx into kx
15.192 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.192 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.192 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.192 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky
15.192 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky
15.192 * [taylor]: Taking taylor expansion of kx in ky
15.192 * [backup-simplify]: Simplify kx into kx
15.192 * [backup-simplify]: Simplify (/ 1 kx) into (/ 1 kx)
15.192 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.192 * [backup-simplify]: Simplify (cos (/ 1 kx)) into (cos (/ 1 kx))
15.192 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sin (/ 1 ky))) in ky
15.192 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.192 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.192 * [taylor]: Taking taylor expansion of ky in ky
15.192 * [backup-simplify]: Simplify 0 into 0
15.192 * [backup-simplify]: Simplify 1 into 1
15.193 * [backup-simplify]: Simplify (/ 1 1) into 1
15.193 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.193 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky
15.193 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky
15.193 * [taylor]: Taking taylor expansion of ky in ky
15.193 * [backup-simplify]: Simplify 0 into 0
15.193 * [backup-simplify]: Simplify 1 into 1
15.193 * [backup-simplify]: Simplify (/ 1 1) into 1
15.193 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.193 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.193 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.193 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.193 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) 1) into (sin (/ 1 kx))
15.193 * [backup-simplify]: Simplify (* (cos (/ 1 kx)) 0) into 0
15.193 * [backup-simplify]: Simplify (+ (sin (/ 1 kx)) 0) into (sin (/ 1 kx))
15.193 * [backup-simplify]: Simplify (* (sin (/ 1 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.194 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.194 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.194 * [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)))
15.194 * [backup-simplify]: Simplify (+ 0) into 0
15.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.195 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.195 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.195 * [backup-simplify]: Simplify (+ 0 0) into 0
15.196 * [backup-simplify]: Simplify (+ 0) into 0
15.196 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 1)) into 0
15.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)))) into 0
15.196 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.197 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (* 0 0)) into 0
15.197 * [backup-simplify]: Simplify (+ 0 0) into 0
15.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.197 * [backup-simplify]: Simplify (+ 0 0) into 0
15.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.198 * [backup-simplify]: Simplify (/ (sin (/ 1 ky)) (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.198 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.198 * [taylor]: Taking taylor expansion of 1 in ky
15.198 * [backup-simplify]: Simplify 1 into 1
15.198 * [backup-simplify]: Simplify (- 1) into -1
15.198 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)
15.199 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))
15.199 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.199 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) in kx
15.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx
15.199 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx
15.199 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx
15.199 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx
15.199 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx
15.199 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx
15.199 * [taylor]: Taking taylor expansion of kx in kx
15.199 * [backup-simplify]: Simplify 0 into 0
15.199 * [backup-simplify]: Simplify 1 into 1
15.199 * [backup-simplify]: Simplify (/ 1 1) into 1
15.199 * [backup-simplify]: Simplify (sin (/ 1 kx)) into (sin (/ 1 kx))
15.199 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx
15.199 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.199 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.199 * [taylor]: Taking taylor expansion of ky in kx
15.200 * [backup-simplify]: Simplify ky into ky
15.200 * [backup-simplify]: Simplify (/ 1 ky) into (/ 1 ky)
15.200 * [backup-simplify]: Simplify (sin (/ 1 ky)) into (sin (/ 1 ky))
15.200 * [backup-simplify]: Simplify (cos (/ 1 ky)) into (cos (/ 1 ky))
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 kx)) (sin (/ 1 kx))) into (pow (sin (/ 1 kx)) 2)
15.200 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) (sin (/ 1 ky))) into (pow (sin (/ 1 ky)) 2)
15.200 * [backup-simplify]: Simplify (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) into (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))
15.200 * [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)))
15.200 * [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))))
15.200 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (* 0 (sin (/ 1 kx)))) into 0
15.201 * [backup-simplify]: Simplify (+ 0) into 0
15.201 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 1)) into 0
15.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)))) into 0
15.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.202 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (* 0 0)) into 0
15.202 * [backup-simplify]: Simplify (+ 0 0) into 0
15.202 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (* 0 (sin (/ 1 ky)))) into 0
15.202 * [backup-simplify]: Simplify (+ 0 0) into 0
15.203 * [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
15.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.203 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx
15.203 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx
15.203 * [taylor]: Taking taylor expansion of ky in kx
15.203 * [backup-simplify]: Simplify ky into ky
15.203 * [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 * [backup-simplify]: Simplify (* (sin (/ 1 ky)) 1) into (sin (/ 1 ky))
15.203 * [backup-simplify]: Simplify (* (cos (/ 1 ky)) 0) into 0
15.203 * [backup-simplify]: Simplify (+ (sin (/ 1 ky)) 0) into (sin (/ 1 ky))
15.203 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.204 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))
15.204 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.205 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.205 * [backup-simplify]: Simplify (- 0) into 0
15.205 * [backup-simplify]: Simplify (+ 0 0) into 0
15.205 * [backup-simplify]: Simplify (+ 0 0) into 0
15.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 1) into 0
15.206 * [taylor]: Taking taylor expansion of 0 in kx
15.206 * [backup-simplify]: Simplify 0 into 0
15.206 * [backup-simplify]: Simplify 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 (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (* 0 (sin (/ 1 ky)))) into 0
15.208 * [backup-simplify]: Simplify 0 into 0
15.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.209 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.210 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.210 * [backup-simplify]: Simplify (+ 0 0) into 0
15.211 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.211 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.212 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.212 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.212 * [backup-simplify]: Simplify (+ 0 0) into 0
15.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.213 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.213 * [backup-simplify]: Simplify (+ 0 0) into 0
15.214 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.214 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.215 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.215 * [backup-simplify]: Simplify (- 0) into 0
15.216 * [backup-simplify]: Simplify (+ 0 0) into 0
15.216 * [backup-simplify]: Simplify (+ 0 0) into 0
15.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 2) into 0
15.217 * [taylor]: Taking taylor expansion of 0 in kx
15.218 * [backup-simplify]: Simplify 0 into 0
15.218 * [backup-simplify]: Simplify 0 into 0
15.218 * [backup-simplify]: Simplify 0 into 0
15.218 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.219 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.219 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.219 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.220 * [backup-simplify]: Simplify (+ 0 0) into 0
15.220 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ 1 kx))))) into 0
15.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.221 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.222 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.222 * [backup-simplify]: Simplify (+ (* (cos (/ 1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.222 * [backup-simplify]: Simplify (+ 0 0) into 0
15.223 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.223 * [backup-simplify]: Simplify (+ 0 0) into 0
15.223 * [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
15.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))))) into 0
15.224 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ 1 ky))))) into 0
15.224 * [backup-simplify]: Simplify 0 into 0
15.225 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.225 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.227 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.229 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.229 * [backup-simplify]: Simplify (+ 0 0) into 0
15.230 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.231 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.232 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.233 * [backup-simplify]: Simplify (+ (* (cos (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.233 * [backup-simplify]: Simplify (+ 0 0) into 0
15.234 * [backup-simplify]: Simplify (+ (* (sin (/ 1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 kx)))))) into 0
15.235 * [backup-simplify]: Simplify (+ (* (sin (/ 1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 ky)))))) into 0
15.235 * [backup-simplify]: Simplify (+ 0 0) into 0
15.236 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) into 0
15.237 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky))) (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))))) into 0
15.239 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.240 * [backup-simplify]: Simplify (- 0) into 0
15.240 * [backup-simplify]: Simplify (+ 0 0) into 0
15.240 * [backup-simplify]: Simplify (+ 0 0) into 0
15.244 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) (sin (/ 1 ky)))) 1)))) 6) into 0
15.244 * [taylor]: Taking taylor expansion of 0 in kx
15.244 * [backup-simplify]: Simplify 0 into 0
15.244 * [backup-simplify]: Simplify 0 into 0
15.245 * [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))
15.245 * [backup-simplify]: Simplify (log1p (expm1 (/ (sin (/ 1 (- ky))) (hypot (sin (/ 1 (- kx))) (sin (/ 1 (- ky))))))) into (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))))
15.245 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in (ky kx) around 0
15.245 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
15.245 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.245 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in kx
15.245 * [taylor]: Taking taylor expansion of 1 in kx
15.245 * [backup-simplify]: Simplify 1 into 1
15.245 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
15.245 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.245 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in kx
15.245 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in kx
15.245 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.245 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.245 * [taylor]: Taking taylor expansion of -1 in kx
15.245 * [backup-simplify]: Simplify -1 into -1
15.245 * [taylor]: Taking taylor expansion of ky in kx
15.245 * [backup-simplify]: Simplify ky into ky
15.246 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.246 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.246 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.246 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in kx
15.246 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.246 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in kx
15.246 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in kx
15.246 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.246 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.246 * [taylor]: Taking taylor expansion of -1 in kx
15.246 * [backup-simplify]: Simplify -1 into -1
15.246 * [taylor]: Taking taylor expansion of kx in kx
15.246 * [backup-simplify]: Simplify 0 into 0
15.246 * [backup-simplify]: Simplify 1 into 1
15.247 * [backup-simplify]: Simplify (/ -1 1) into -1
15.247 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.247 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.247 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.247 * [taylor]: Taking taylor expansion of -1 in kx
15.247 * [backup-simplify]: Simplify -1 into -1
15.247 * [taylor]: Taking taylor expansion of kx in kx
15.247 * [backup-simplify]: Simplify 0 into 0
15.247 * [backup-simplify]: Simplify 1 into 1
15.247 * [backup-simplify]: Simplify (/ -1 1) into -1
15.247 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.247 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in kx
15.247 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.247 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.247 * [taylor]: Taking taylor expansion of -1 in kx
15.247 * [backup-simplify]: Simplify -1 into -1
15.247 * [taylor]: Taking taylor expansion of ky in kx
15.247 * [backup-simplify]: Simplify ky into ky
15.247 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.248 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.248 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.248 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.248 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.248 * [taylor]: Taking taylor expansion of -1 in kx
15.248 * [backup-simplify]: Simplify -1 into -1
15.248 * [taylor]: Taking taylor expansion of ky in kx
15.248 * [backup-simplify]: Simplify ky into ky
15.248 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.248 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.248 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.248 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.248 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.248 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.248 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
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 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.249 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.249 * [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)))
15.249 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.250 * [backup-simplify]: Simplify (+ 0) into 0
15.250 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.250 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.251 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.251 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.252 * [backup-simplify]: Simplify (+ 0 0) into 0
15.252 * [backup-simplify]: Simplify (+ 0) into 0
15.253 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.253 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.254 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.254 * [backup-simplify]: Simplify (+ 0 0) into 0
15.254 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.255 * [backup-simplify]: Simplify (+ 0 0) into 0
15.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.255 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.255 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.255 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.256 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.256 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.256 * [taylor]: Taking taylor expansion of 1 in kx
15.256 * [backup-simplify]: Simplify 1 into 1
15.257 * [backup-simplify]: Simplify (- 1) into -1
15.257 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.257 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.258 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.258 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
15.258 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.258 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
15.258 * [taylor]: Taking taylor expansion of 1 in ky
15.258 * [backup-simplify]: Simplify 1 into 1
15.258 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.258 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.258 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.258 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.258 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.258 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.258 * [taylor]: Taking taylor expansion of -1 in ky
15.258 * [backup-simplify]: Simplify -1 into -1
15.258 * [taylor]: Taking taylor expansion of ky in ky
15.258 * [backup-simplify]: Simplify 0 into 0
15.258 * [backup-simplify]: Simplify 1 into 1
15.259 * [backup-simplify]: Simplify (/ -1 1) into -1
15.259 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.259 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.259 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.259 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.259 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.259 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.259 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.259 * [taylor]: Taking taylor expansion of -1 in ky
15.259 * [backup-simplify]: Simplify -1 into -1
15.259 * [taylor]: Taking taylor expansion of kx in ky
15.259 * [backup-simplify]: Simplify kx into kx
15.259 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.259 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.259 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.259 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.259 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.259 * [taylor]: Taking taylor expansion of -1 in ky
15.259 * [backup-simplify]: Simplify -1 into -1
15.259 * [taylor]: Taking taylor expansion of kx in ky
15.259 * [backup-simplify]: Simplify kx into kx
15.259 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.259 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.260 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.260 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.260 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.260 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.260 * [taylor]: Taking taylor expansion of -1 in ky
15.260 * [backup-simplify]: Simplify -1 into -1
15.260 * [taylor]: Taking taylor expansion of ky in ky
15.260 * [backup-simplify]: Simplify 0 into 0
15.260 * [backup-simplify]: Simplify 1 into 1
15.260 * [backup-simplify]: Simplify (/ -1 1) into -1
15.260 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.260 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.260 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.260 * [taylor]: Taking taylor expansion of -1 in ky
15.260 * [backup-simplify]: Simplify -1 into -1
15.260 * [taylor]: Taking taylor expansion of ky in ky
15.260 * [backup-simplify]: Simplify 0 into 0
15.260 * [backup-simplify]: Simplify 1 into 1
15.261 * [backup-simplify]: Simplify (/ -1 1) into -1
15.261 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.261 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.261 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.261 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.261 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.261 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.261 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.262 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.262 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.262 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.262 * [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)))
15.263 * [backup-simplify]: Simplify (+ 0) into 0
15.263 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.263 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.264 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.265 * [backup-simplify]: Simplify (+ 0 0) into 0
15.265 * [backup-simplify]: Simplify (+ 0) into 0
15.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.266 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.267 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.268 * [backup-simplify]: Simplify (+ 0 0) into 0
15.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.268 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.268 * [backup-simplify]: Simplify (+ 0 0) into 0
15.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.269 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.269 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.269 * [taylor]: Taking taylor expansion of 1 in ky
15.269 * [backup-simplify]: Simplify 1 into 1
15.270 * [backup-simplify]: Simplify (- 1) into -1
15.270 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.270 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.271 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.271 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
15.271 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))))
15.271 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))))) in ky
15.271 * [taylor]: Taking taylor expansion of 1 in ky
15.271 * [backup-simplify]: Simplify 1 into 1
15.271 * [taylor]: Taking taylor expansion of (expm1 (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.271 * [taylor]: Rewrote expression to (- (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) 1)
15.271 * [taylor]: Taking taylor expansion of (exp (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky))))) in ky
15.271 * [taylor]: Taking taylor expansion of (/ (sin (/ -1 ky)) (hypot (sin (/ -1 kx)) (sin (/ -1 ky)))) in ky
15.271 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.271 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.271 * [taylor]: Taking taylor expansion of -1 in ky
15.271 * [backup-simplify]: Simplify -1 into -1
15.271 * [taylor]: Taking taylor expansion of ky in ky
15.271 * [backup-simplify]: Simplify 0 into 0
15.271 * [backup-simplify]: Simplify 1 into 1
15.272 * [backup-simplify]: Simplify (/ -1 1) into -1
15.272 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.272 * [taylor]: Taking taylor expansion of (hypot (sin (/ -1 kx)) (sin (/ -1 ky))) in ky
15.272 * [taylor]: Rewrote expression to (sqrt (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))))
15.272 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 kx)) (sin (/ -1 kx))) (* (sin (/ -1 ky)) (sin (/ -1 ky)))) in ky
15.272 * [taylor]: Taking taylor expansion of (* (sin (/ -1 kx)) (sin (/ -1 kx))) in ky
15.272 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.272 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.272 * [taylor]: Taking taylor expansion of -1 in ky
15.272 * [backup-simplify]: Simplify -1 into -1
15.272 * [taylor]: Taking taylor expansion of kx in ky
15.272 * [backup-simplify]: Simplify kx into kx
15.272 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.272 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.272 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.273 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky
15.273 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky
15.273 * [taylor]: Taking taylor expansion of -1 in ky
15.273 * [backup-simplify]: Simplify -1 into -1
15.273 * [taylor]: Taking taylor expansion of kx in ky
15.273 * [backup-simplify]: Simplify kx into kx
15.273 * [backup-simplify]: Simplify (/ -1 kx) into (/ -1 kx)
15.273 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.273 * [backup-simplify]: Simplify (cos (/ -1 kx)) into (cos (/ -1 kx))
15.273 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sin (/ -1 ky))) in ky
15.273 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.273 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.273 * [taylor]: Taking taylor expansion of -1 in ky
15.273 * [backup-simplify]: Simplify -1 into -1
15.273 * [taylor]: Taking taylor expansion of ky in ky
15.273 * [backup-simplify]: Simplify 0 into 0
15.273 * [backup-simplify]: Simplify 1 into 1
15.273 * [backup-simplify]: Simplify (/ -1 1) into -1
15.274 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.274 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky
15.274 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky
15.274 * [taylor]: Taking taylor expansion of -1 in ky
15.274 * [backup-simplify]: Simplify -1 into -1
15.274 * [taylor]: Taking taylor expansion of ky in ky
15.274 * [backup-simplify]: Simplify 0 into 0
15.274 * [backup-simplify]: Simplify 1 into 1
15.274 * [backup-simplify]: Simplify (/ -1 1) into -1
15.274 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.274 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.274 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.274 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.275 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) 1) into (sin (/ -1 kx))
15.275 * [backup-simplify]: Simplify (* (cos (/ -1 kx)) 0) into 0
15.275 * [backup-simplify]: Simplify (+ (sin (/ -1 kx)) 0) into (sin (/ -1 kx))
15.275 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.275 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.275 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.275 * [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)))
15.276 * [backup-simplify]: Simplify (+ 0) into 0
15.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.276 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.278 * [backup-simplify]: Simplify (+ 0 0) into 0
15.278 * [backup-simplify]: Simplify (+ 0) into 0
15.279 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 1)) into 0
15.279 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)))) into 0
15.279 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.280 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (* 0 0)) into 0
15.280 * [backup-simplify]: Simplify (+ 0 0) into 0
15.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.280 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.281 * [backup-simplify]: Simplify (+ 0 0) into 0
15.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.281 * [backup-simplify]: Simplify (/ (sin (/ -1 ky)) (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.282 * [backup-simplify]: Simplify (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.282 * [taylor]: Taking taylor expansion of 1 in ky
15.282 * [backup-simplify]: Simplify 1 into 1
15.282 * [backup-simplify]: Simplify (- 1) into -1
15.282 * [backup-simplify]: Simplify (+ (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) -1) into (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)
15.283 * [backup-simplify]: Simplify (+ 1 (- (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)) into (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))
15.283 * [backup-simplify]: Simplify (log (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.283 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) in kx
15.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx
15.283 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx
15.283 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx
15.283 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx
15.283 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx
15.283 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx
15.283 * [taylor]: Taking taylor expansion of -1 in kx
15.283 * [backup-simplify]: Simplify -1 into -1
15.283 * [taylor]: Taking taylor expansion of kx in kx
15.283 * [backup-simplify]: Simplify 0 into 0
15.283 * [backup-simplify]: Simplify 1 into 1
15.284 * [backup-simplify]: Simplify (/ -1 1) into -1
15.284 * [backup-simplify]: Simplify (sin (/ -1 kx)) into (sin (/ -1 kx))
15.284 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx
15.284 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.284 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.284 * [taylor]: Taking taylor expansion of -1 in kx
15.284 * [backup-simplify]: Simplify -1 into -1
15.284 * [taylor]: Taking taylor expansion of ky in kx
15.284 * [backup-simplify]: Simplify ky into ky
15.284 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.284 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.284 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.284 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.284 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.285 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.285 * [backup-simplify]: Simplify (* (sin (/ -1 kx)) (sin (/ -1 kx))) into (pow (sin (/ -1 kx)) 2)
15.285 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) (sin (/ -1 ky))) into (pow (sin (/ -1 ky)) 2)
15.285 * [backup-simplify]: Simplify (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) into (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))
15.285 * [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)))
15.285 * [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))))
15.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (* 0 (sin (/ -1 kx)))) into 0
15.286 * [backup-simplify]: Simplify (+ 0) into 0
15.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.287 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.288 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.288 * [backup-simplify]: Simplify (+ 0 0) into 0
15.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 (sin (/ -1 ky)))) into 0
15.289 * [backup-simplify]: Simplify (+ 0 0) into 0
15.289 * [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
15.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.289 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx
15.290 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx
15.290 * [taylor]: Taking taylor expansion of -1 in kx
15.290 * [backup-simplify]: Simplify -1 into -1
15.290 * [taylor]: Taking taylor expansion of ky in kx
15.290 * [backup-simplify]: Simplify ky into ky
15.290 * [backup-simplify]: Simplify (/ -1 ky) into (/ -1 ky)
15.290 * [backup-simplify]: Simplify (sin (/ -1 ky)) into (sin (/ -1 ky))
15.290 * [backup-simplify]: Simplify (cos (/ -1 ky)) into (cos (/ -1 ky))
15.290 * [backup-simplify]: Simplify (* (sin (/ -1 ky)) 1) into (sin (/ -1 ky))
15.290 * [backup-simplify]: Simplify (* (cos (/ -1 ky)) 0) into 0
15.290 * [backup-simplify]: Simplify (+ (sin (/ -1 ky)) 0) into (sin (/ -1 ky))
15.290 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.290 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) into (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))
15.291 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.292 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.292 * [backup-simplify]: Simplify (- 0) into 0
15.296 * [backup-simplify]: Simplify (+ 0 0) into 0
15.297 * [backup-simplify]: Simplify (+ 0 0) into 0
15.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 1) into 0
15.298 * [taylor]: Taking taylor expansion of 0 in kx
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify 0 into 0
15.298 * [backup-simplify]: Simplify (+ 0) into 0
15.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (* 0 1)) into 0
15.299 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)))) into 0
15.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (* 0 0)) into 0
15.300 * [backup-simplify]: Simplify (+ 0 0) into 0
15.300 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (* 0 (sin (/ -1 ky)))) into 0
15.300 * [backup-simplify]: Simplify 0 into 0
15.300 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.301 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.302 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.302 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.302 * [backup-simplify]: Simplify (+ 0 0) into 0
15.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 1))) into 0
15.303 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.304 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (* 0 0))) into 0
15.304 * [backup-simplify]: Simplify (+ 0 0) into 0
15.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.305 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.305 * [backup-simplify]: Simplify (+ 0 0) into 0
15.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.307 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.307 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.308 * [backup-simplify]: Simplify (- 0) into 0
15.308 * [backup-simplify]: Simplify (+ 0 0) into 0
15.308 * [backup-simplify]: Simplify (+ 0 0) into 0
15.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 2) into 0
15.310 * [taylor]: Taking taylor expansion of 0 in kx
15.310 * [backup-simplify]: Simplify 0 into 0
15.310 * [backup-simplify]: Simplify 0 into 0
15.310 * [backup-simplify]: Simplify 0 into 0
15.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.311 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.311 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.312 * [backup-simplify]: Simplify (+ 0 0) into 0
15.312 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (* 0 (sin (/ -1 kx))))) into 0
15.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 1))) into 0
15.314 * [backup-simplify]: Simplify (- (/ 0 ky) (+ (* (/ -1 ky) (/ 0 ky)) (* 0 (/ 0 ky)))) into 0
15.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1 ky)) 0) (+ (* 0 0) (* 0 0))) into 0
15.315 * [backup-simplify]: Simplify (+ 0 0) into 0
15.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.315 * [backup-simplify]: Simplify (+ 0 0) into 0
15.316 * [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
15.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))))) into 0
15.317 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) 0) (+ (* 0 0) (* 0 (sin (/ -1 ky))))) into 0
15.317 * [backup-simplify]: Simplify 0 into 0
15.319 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.320 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.321 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.323 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.323 * [backup-simplify]: Simplify (+ 0 0) into 0
15.324 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.325 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.325 * [backup-simplify]: Simplify (- (/ 0 kx) (+ (* (/ -1 kx) (/ 0 kx)) (* 0 (/ 0 kx)) (* 0 (/ 0 kx)))) into 0
15.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.328 * [backup-simplify]: Simplify (+ 0 0) into 0
15.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1 kx)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 kx)))))) into 0
15.330 * [backup-simplify]: Simplify (+ (* (sin (/ -1 ky)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 ky)))))) into 0
15.330 * [backup-simplify]: Simplify (+ 0 0) into 0
15.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) into 0
15.332 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (+ (* (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky))) (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) (* 0 (/ 0 (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))))) into 0
15.334 * [backup-simplify]: Simplify (* (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.334 * [backup-simplify]: Simplify (- 0) into 0
15.334 * [backup-simplify]: Simplify (+ 0 0) into 0
15.335 * [backup-simplify]: Simplify (+ 0 0) into 0
15.337 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) (sin (/ -1 ky)))) 1)))) 6) into 0
15.337 * [taylor]: Taking taylor expansion of 0 in kx
15.337 * [backup-simplify]: Simplify 0 into 0
15.337 * [backup-simplify]: Simplify 0 into 0
15.337 * [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))
15.337 * * * [progress]: simplifying candidates
15.337 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (exp (/ (sin ky) (hypot (sin kx) (sin ky)))) 1))))>
15.337 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.337 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.337 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))>
15.337 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (pow (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) 1))))>
15.337 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (exp (log (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.337 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (log (exp (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.337 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (* (* (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.337 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (cbrt (* (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.337 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (* (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (* 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.338 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (expm1 (log1p (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (pow (/ (sin ky) (hypot (sin kx) (sin ky))) 1)))))>
15.338 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (exp (- (log (sin ky)) (log (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (exp (log (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log (exp (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (cbrt (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (sin ky))) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (cbrt (* (* (/ (sin ky) (hypot (sin kx) (sin ky))) (/ (sin ky) (hypot (sin kx) (sin ky)))) (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (- (sin ky)) (- (hypot (sin kx) (sin ky))))))))>
15.338 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (cbrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (sin ky)))) (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (hypot (sin kx) (sin ky))))))))>
15.338 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (sqrt (sin ky)) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sqrt (sin ky)) (cbrt (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))) (/ (sqrt (sin ky)) (sqrt (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (hypot (sin kx) (sin ky))))))))>
15.338 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ 1 (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (/ (sin ky) (cbrt (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ 1 (sqrt (hypot (sin kx) (sin ky)))) (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))))))))>
15.338 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (/ 1 1) (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.338 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* 1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.338 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sin ky) (/ 1 (hypot (sin kx) (sin ky))))))))>
15.338 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))))>
15.339 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (/ (sin ky) (* (cbrt (hypot (sin kx) (sin ky))) (cbrt (hypot (sin kx) (sin ky))))) (cbrt (hypot (sin kx) (sin ky))))))))>
15.339 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (/ (sin ky) (sqrt (hypot (sin kx) (sin ky)))) (sqrt (hypot (sin kx) (sin ky))))))))>
15.339 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (/ (sin ky) 1) (hypot (sin kx) (sin ky)))))))>
15.339 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (hypot (sin kx) (sin ky)) (cbrt (sin ky))))))))>
15.339 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ (sqrt (sin ky)) (/ (hypot (sin kx) (sin ky)) (sqrt (sin ky))))))))>
15.339 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (/ 1 (/ (hypot (sin kx) (sin ky)) (sin ky)))))))>
15.339 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (log1p (expm1 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (expm1 (log1p (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) 1))>
15.339 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (pow (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) 1))>
15.339 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (exp (+ (log (sin th)) (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (exp (log (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (log (exp (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (sin th)) (sin th)) (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))) (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (cbrt (* (* (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.339 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.339 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.339 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.340 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (sin th) 1) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))>
15.340 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (* (cbrt (sin th)) (cbrt (sin th))) (* (cbrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.340 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (sin th)) (* (sqrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.340 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* 1 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.340 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (posit16->real (real->posit16 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th)))>
15.340 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.340 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (expm1 (log1p (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (/ (sin ky) (hypot (sin kx) (sin ky)))))>
15.340 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (pow (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) 1)))>
15.340 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (exp (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log (exp (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (cbrt (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))>
15.340 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))>
15.340 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (+ (* 1/6 (pow ky 2)) (* 1/6 (* kx ky))) (* 181/1080 (pow ky 4))))))>
15.340 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1))))>
15.341 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1))))>
15.341 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (- (+ (* 1/6 (* kx ky)) (* 7/360 (* (pow kx 3) ky))) (* 71/720 (* kx (pow ky 3))))))))>
15.341 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))))>
15.341 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (log1p (expm1 (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))))>
15.342 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (kx ky th) 0)>
15.342 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
15.342 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky))))>
15.342 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* 1/6 (* kx ky))))>
15.342 * * * * [progress]: [ 86 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
15.342 * * * * [progress]: [ 87 / 87 ] simplifiying candidate #<alt (λ (kx ky th) (* (sin th) (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))))>
15.343 * [simplify]: Simplifying:
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (log (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (exp (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (- (log (sin ky)) (log (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (hypot (sin kx) (sin ky)) (hypot (sin kx) (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 (sin ky))) (* (cbrt (hypot (sin kx) (sin ky))) (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))))
  (/ (cbrt (sin ky)) (sqrt (hypot (sin kx) (sin ky))))
  (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1)
  (/ (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)) 1)
  (/ (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 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) 1)
  (/ (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) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (log1p (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (+ (log (sin th)) (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (log (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (exp (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (* (* (sin th) (sin th)) (sin th)) (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))
  (cbrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (* (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))) (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (sqrt (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sqrt (sin th)) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sin th) (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))))
  (* (sin th) (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (* (sin th) 1)
  (* (cbrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (sqrt (sin th)) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (real->posit16 (* (sin th) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (log1p (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (log (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (exp (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))
  (cbrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (* (* (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))) (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (sqrt (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (real->posit16 (log1p (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (- (+ (* 1/6 (pow ky 2)) (* 1/6 (* kx ky))) (* 181/1080 (pow ky 4)))
  (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
  (- (exp (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))) 1)
  (- (+ (* 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))
  0
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (* (sin th) (sin ky)))
  (* 1/6 (* kx ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
  (* (sqrt (/ 1 (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin ky))
15.344 * * [simplify]: iteration 0: 136 enodes
15.369 * * [simplify]: iteration 1: 274 enodes
15.476 * * [simplify]: iteration 2: 780 enodes
15.839 * * [simplify]: iteration 3: 1958 enodes
16.715 * * [simplify]: iteration complete: 5000 enodes
16.715 * * [simplify]: Extracting #0: cost 66 inf + 0
16.718 * * [simplify]: Extracting #1: cost 653 inf + 2
16.727 * * [simplify]: Extracting #2: cost 1256 inf + 2985
16.746 * * [simplify]: Extracting #3: cost 1153 inf + 32120
16.798 * * [simplify]: Extracting #4: cost 738 inf + 140234
16.877 * * [simplify]: Extracting #5: cost 102 inf + 360971
17.012 * * [simplify]: Extracting #6: cost 19 inf + 392953
17.149 * * [simplify]: Extracting #7: cost 3 inf + 397413
17.237 * * [simplify]: Extracting #8: cost 0 inf + 398352
17.339 * [simplify]: Simplified to:
  (exp (/ (sin ky) (hypot (sin kx) (sin ky))))
  (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (/ (sin ky) (hypot (sin kx) (sin ky)))
  (log (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (exp (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))) (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (cbrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (* (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))) (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (sqrt (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (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)) (cbrt (sin ky))) (sqrt (hypot (sin kx) (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 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) (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 th)) (hypot (sin kx) (sin ky))) (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))) (/ (* (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 th)) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (sqrt (sin th)) (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (* (* (cbrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (cbrt (/ (sin ky) (hypot (sin kx) (sin ky))))) (sin th))
  (* (sqrt (/ (sin ky) (hypot (sin kx) (sin ky)))) (sin th))
  (sin th)
  (* (cbrt (sin th)) (/ (sin ky) (hypot (sin kx) (sin ky))))
  (* (sin ky) (/ (sqrt (sin th)) (hypot (sin kx) (sin ky))))
  (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky)))
  (real->posit16 (/ (* (sin ky) (sin th)) (hypot (sin kx) (sin ky))))
  (+ 1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))
  (expm1 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log1p (/ (sin ky) (hypot (sin kx) (sin ky))))
  (log (/ (sin ky) (hypot (sin kx) (sin ky))))
  (exp (/ (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))))
  (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky))))
  (fma -181/1080 (* (* ky ky) (* ky ky)) (* (* 1/6 ky) (+ kx ky)))
  (expm1 (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))
  (expm1 (* (sin ky) (sqrt (/ 1 (fma (sin kx) (sin kx) (* (sin ky) (sin ky)))))))
  (* ky (- (* kx (fma 7/360 (* kx kx) 1/6)) (* (* 71/720 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))))))
  0
  (* (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)))))))
  (* (* kx ky) 1/6)
  (* (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))))))
17.350 * * * [progress]: adding candidates to table
17.881 * [progress]: [Phase 3 of 3] Extracting.
17.881 * * [regime]: Finding splitpoints for: (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<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) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (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)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>)
17.888 * * * [regime-changes]: Trying 6 branch expressions: ((sin th) (sin kx) (sin ky) th ky kx)
17.888 * * * * [regimes]: Trying to branch on (sin th) from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<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) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (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)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>)
18.078 * * * * [regimes]: Trying to branch on (sin kx) from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<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) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (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)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>)
18.280 * * * * [regimes]: Trying to branch on (sin ky) from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<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) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (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)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>)
18.926 * * * * [regimes]: Trying to branch on th from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<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) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (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)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>)
19.061 * * * * [regimes]: Trying to branch on ky from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<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) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (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)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>)
19.186 * * * * [regimes]: Trying to branch on kx from (#<alt (λ (kx ky th) (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky))))> #<alt (λ (kx ky th) (* (/ (sin th) (hypot (sin ky) (sin kx))) (sin ky)))> #<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) (log1p (posit16->real (real->posit16 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (exp (log (* (sin th) (/ (sin ky) (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (* (sin th) (posit16->real (real->posit16 (/ (sin ky) (hypot (sin kx) (sin ky)))))))> #<alt (λ (kx ky th) (* (sin th) (/ 1 (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (/ (posit16->real (real->posit16 (hypot (sin ky) (sin kx)))) (sin ky))))> #<alt (λ (kx ky th) (* (/ (* (cbrt (sin th)) (cbrt (sin th))) (/ (sqrt (hypot (sin ky) (sin kx))) (* (cbrt (sin ky)) (cbrt (sin ky))))) (/ (cbrt (sin th)) (/ (sqrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))> #<alt (λ (kx ky th) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (/ (sin ky) (sqrt (hypot (sin ky) (sin kx)))))))> #<alt (λ (kx ky th) (/ (sin th) (posit16->real (real->posit16 (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (* (* (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky)))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))) (/ (cbrt (sin th)) (cbrt (/ (hypot (sin ky) (sin kx)) (sin ky))))))> #<alt (λ (kx ky th) (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)))))))> #<alt (λ (kx ky th) (* (sin th) (log1p (log1p (expm1 (expm1 (/ (sin ky) (hypot (sin kx) (sin ky)))))))))> #<alt (λ (kx ky th) (* (* (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx)))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))) (/ (* (cbrt (sin th)) (cbrt (sin ky))) (cbrt (hypot (sin ky) (sin kx))))))> #<alt (λ (kx ky th) (* (/ 1 (sqrt (hypot (sin ky) (sin kx)))) (/ (sin th) (/ (sqrt (hypot (sin ky) (sin kx))) (sin ky)))))> #<alt (λ (kx ky th) (/ (sin th) (* (* (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky)))) (/ (cbrt (hypot (sin ky) (sin kx))) (cbrt (sin ky))))))>)
19.347 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
19.348 * [simplify]: Simplifying:
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
19.348 * * [simplify]: iteration 0: 9 enodes
19.349 * * [simplify]: iteration complete: 9 enodes
19.349 * * [simplify]: Extracting #0: cost 1 inf + 0
19.349 * * [simplify]: Extracting #1: cost 3 inf + 0
19.349 * * [simplify]: Extracting #2: cost 6 inf + 0
19.349 * * [simplify]: Extracting #3: cost 7 inf + 1
19.349 * * [simplify]: Extracting #4: cost 5 inf + 124
19.349 * * [simplify]: Extracting #5: cost 0 inf + 898
19.350 * [simplify]: Simplified to:
  (/ (sin th) (/ (hypot (sin ky) (sin kx)) (sin ky)))
31.920 * [regime-testing]: Baseline error score: 8.604219715279491
31.922 * [regime-testing]: Oracle error score: 8.440323392221412
31.927 * [regime-testing]: End program error score: 8.604219715279491