14.734 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.105 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying using # : (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)) 0.110 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.111 * * [simplify]: iteration 1 : 23 enodes (cost 16 ) 0.114 * * [simplify]: iteration 2 : 34 enodes (cost 16 ) 0.118 * * [simplify]: iteration 3 : 63 enodes (cost 16 ) 0.135 * * [simplify]: iteration 4 : 126 enodes (cost 16 ) 0.167 * * [simplify]: iteration 5 : 297 enodes (cost 16 ) 0.295 * * [simplify]: iteration 6 : 884 enodes (cost 16 ) 1.230 * * [simplify]: iteration 7 : 3183 enodes (cost 16 ) 2.804 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.804 * [simplify]: Simplified to: (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sin th)) 2.805 * * [progress]: iteration 1 / 4 2.805 * * * [progress]: picking best candidate 2.808 * * * * [pick]: Picked # 2.808 * * * [progress]: localizing error 2.827 * * * [progress]: generating rewritten candidates 2.827 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 2.843 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 2.845 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.866 * * * [progress]: generating series expansions 2.867 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.867 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in (kx ky) around 0 2.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 2.867 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 2.867 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 2.867 * [taylor]: Taking taylor expansion of (sin kx) in ky 2.867 * [taylor]: Taking taylor expansion of kx in ky 2.867 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 2.867 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.867 * [taylor]: Taking taylor expansion of ky in ky 2.870 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 2.870 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 2.870 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 2.870 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.871 * [taylor]: Taking taylor expansion of kx in kx 2.871 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 2.871 * [taylor]: Taking taylor expansion of (sin ky) in kx 2.871 * [taylor]: Taking taylor expansion of ky in kx 2.873 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 2.873 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 2.873 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 2.873 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.873 * [taylor]: Taking taylor expansion of kx in kx 2.874 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 2.874 * [taylor]: Taking taylor expansion of (sin ky) in kx 2.874 * [taylor]: Taking taylor expansion of ky in kx 2.876 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.876 * [taylor]: Taking taylor expansion of ky in ky 2.876 * [taylor]: Taking taylor expansion of 0 in ky 2.880 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky 2.880 * [taylor]: Taking taylor expansion of 1/2 in ky 2.880 * [taylor]: Taking taylor expansion of (sin ky) in ky 2.880 * [taylor]: Taking taylor expansion of ky in ky 2.886 * [taylor]: Taking taylor expansion of 0 in ky 2.889 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in (kx ky) around 0 2.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 2.889 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 2.889 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 2.889 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 2.889 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 2.889 * [taylor]: Taking taylor expansion of kx in ky 2.889 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 2.889 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 2.889 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 2.889 * [taylor]: Taking taylor expansion of ky in ky 2.892 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 2.892 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 2.892 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 2.892 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.892 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.892 * [taylor]: Taking taylor expansion of kx in kx 2.893 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 2.893 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 2.893 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 2.893 * [taylor]: Taking taylor expansion of ky in kx 2.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 2.900 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 2.900 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 2.900 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.900 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.900 * [taylor]: Taking taylor expansion of kx in kx 2.901 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 2.901 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 2.901 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 2.901 * [taylor]: Taking taylor expansion of ky in kx 2.904 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 2.904 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 2.904 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 2.904 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 2.904 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 2.904 * [taylor]: Taking taylor expansion of kx in ky 2.904 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 2.904 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 2.904 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 2.904 * [taylor]: Taking taylor expansion of ky in ky 2.907 * [taylor]: Taking taylor expansion of 0 in ky 2.911 * [taylor]: Taking taylor expansion of 0 in ky 2.919 * [taylor]: Taking taylor expansion of 0 in ky 2.920 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in (kx ky) around 0 2.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 2.920 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 2.920 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 2.920 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 2.920 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 2.920 * [taylor]: Taking taylor expansion of -1 in ky 2.920 * [taylor]: Taking taylor expansion of kx in ky 2.920 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 2.920 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 2.920 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 2.920 * [taylor]: Taking taylor expansion of -1 in ky 2.920 * [taylor]: Taking taylor expansion of ky in ky 2.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 2.923 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 2.923 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 2.923 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.923 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.923 * [taylor]: Taking taylor expansion of -1 in kx 2.923 * [taylor]: Taking taylor expansion of kx in kx 2.923 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 2.923 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 2.923 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 2.923 * [taylor]: Taking taylor expansion of -1 in kx 2.923 * [taylor]: Taking taylor expansion of ky in kx 2.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 2.926 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 2.926 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 2.926 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 2.926 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 2.926 * [taylor]: Taking taylor expansion of -1 in kx 2.926 * [taylor]: Taking taylor expansion of kx in kx 2.927 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 2.927 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 2.927 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 2.927 * [taylor]: Taking taylor expansion of -1 in kx 2.927 * [taylor]: Taking taylor expansion of ky in kx 2.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 2.930 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 2.930 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 2.930 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 2.930 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 2.930 * [taylor]: Taking taylor expansion of -1 in ky 2.930 * [taylor]: Taking taylor expansion of kx in ky 2.930 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 2.930 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 2.930 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 2.930 * [taylor]: Taking taylor expansion of -1 in ky 2.930 * [taylor]: Taking taylor expansion of ky in ky 2.933 * [taylor]: Taking taylor expansion of 0 in ky 2.936 * [taylor]: Taking taylor expansion of 0 in ky 2.944 * [taylor]: Taking taylor expansion of 0 in ky 2.945 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 2.945 * [approximate]: Taking taylor expansion of (pow (sin kx) 2.0) in (kx) around 0 2.945 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx 2.945 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx 2.945 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx 2.945 * [taylor]: Taking taylor expansion of 2.0 in kx 2.945 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.945 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.945 * [taylor]: Taking taylor expansion of kx in kx 2.946 * [taylor]: Taking taylor expansion of (pow (sin kx) 2.0) in kx 2.946 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin kx)))) in kx 2.946 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin kx))) in kx 2.946 * [taylor]: Taking taylor expansion of 2.0 in kx 2.946 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 2.946 * [taylor]: Taking taylor expansion of (sin kx) in kx 2.946 * [taylor]: Taking taylor expansion of kx in kx 2.978 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in (kx) around 0 2.978 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx 2.978 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx 2.978 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx 2.978 * [taylor]: Taking taylor expansion of 2.0 in kx 2.978 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.978 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.978 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.978 * [taylor]: Taking taylor expansion of kx in kx 2.978 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2.0) in kx 2.978 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 kx))))) in kx 2.978 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 kx)))) in kx 2.978 * [taylor]: Taking taylor expansion of 2.0 in kx 2.978 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 2.978 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 2.978 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 2.978 * [taylor]: Taking taylor expansion of kx in kx 3.016 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in (kx) around 0 3.016 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx 3.016 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx 3.016 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx 3.016 * [taylor]: Taking taylor expansion of 2.0 in kx 3.016 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.016 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.016 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.016 * [taylor]: Taking taylor expansion of -1 in kx 3.016 * [taylor]: Taking taylor expansion of kx in kx 3.017 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2.0) in kx 3.017 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 kx))))) in kx 3.017 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 kx)))) in kx 3.017 * [taylor]: Taking taylor expansion of 2.0 in kx 3.017 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 3.017 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.017 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.017 * [taylor]: Taking taylor expansion of -1 in kx 3.017 * [taylor]: Taking taylor expansion of kx in kx 3.049 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 3.049 * [approximate]: Taking taylor expansion of (pow (sin ky) 2.0) in (ky) around 0 3.049 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky 3.049 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky 3.049 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky 3.049 * [taylor]: Taking taylor expansion of 2.0 in ky 3.049 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky 3.049 * [taylor]: Taking taylor expansion of (sin ky) in ky 3.049 * [taylor]: Taking taylor expansion of ky in ky 3.050 * [taylor]: Taking taylor expansion of (pow (sin ky) 2.0) in ky 3.050 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin ky)))) in ky 3.050 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin ky))) in ky 3.050 * [taylor]: Taking taylor expansion of 2.0 in ky 3.050 * [taylor]: Taking taylor expansion of (log (sin ky)) in ky 3.050 * [taylor]: Taking taylor expansion of (sin ky) in ky 3.050 * [taylor]: Taking taylor expansion of ky in ky 3.085 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in (ky) around 0 3.085 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky 3.085 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky 3.085 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky 3.085 * [taylor]: Taking taylor expansion of 2.0 in ky 3.085 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky 3.085 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 3.085 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 3.085 * [taylor]: Taking taylor expansion of ky in ky 3.085 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2.0) in ky 3.085 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ 1 ky))))) in ky 3.085 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ 1 ky)))) in ky 3.085 * [taylor]: Taking taylor expansion of 2.0 in ky 3.085 * [taylor]: Taking taylor expansion of (log (sin (/ 1 ky))) in ky 3.085 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 3.085 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 3.085 * [taylor]: Taking taylor expansion of ky in ky 3.117 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in (ky) around 0 3.117 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky 3.117 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky 3.117 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky 3.117 * [taylor]: Taking taylor expansion of 2.0 in ky 3.117 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky 3.117 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 3.117 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 3.117 * [taylor]: Taking taylor expansion of -1 in ky 3.117 * [taylor]: Taking taylor expansion of ky in ky 3.118 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2.0) in ky 3.118 * [taylor]: Taking taylor expansion of (exp (* 2.0 (log (sin (/ -1 ky))))) in ky 3.118 * [taylor]: Taking taylor expansion of (* 2.0 (log (sin (/ -1 ky)))) in ky 3.118 * [taylor]: Taking taylor expansion of 2.0 in ky 3.118 * [taylor]: Taking taylor expansion of (log (sin (/ -1 ky))) in ky 3.118 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 3.118 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 3.118 * [taylor]: Taking taylor expansion of -1 in ky 3.118 * [taylor]: Taking taylor expansion of ky in ky 3.155 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.155 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in (ky kx) around 0 3.155 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in kx 3.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 3.155 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 3.155 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 3.155 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 3.155 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.155 * [taylor]: Taking taylor expansion of kx in kx 3.156 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 3.156 * [taylor]: Taking taylor expansion of (sin ky) in kx 3.156 * [taylor]: Taking taylor expansion of ky in kx 3.158 * [taylor]: Taking taylor expansion of (sin ky) in kx 3.158 * [taylor]: Taking taylor expansion of ky in kx 3.158 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in ky 3.158 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 3.158 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 3.158 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 3.158 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 3.158 * [taylor]: Taking taylor expansion of (sin kx) in ky 3.158 * [taylor]: Taking taylor expansion of kx in ky 3.158 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 3.158 * [taylor]: Taking taylor expansion of (sin ky) in ky 3.158 * [taylor]: Taking taylor expansion of ky in ky 3.161 * [taylor]: Taking taylor expansion of (sin ky) in ky 3.161 * [taylor]: Taking taylor expansion of ky in ky 3.161 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in ky 3.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 3.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 3.161 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 3.161 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 3.161 * [taylor]: Taking taylor expansion of (sin kx) in ky 3.162 * [taylor]: Taking taylor expansion of kx in ky 3.162 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 3.162 * [taylor]: Taking taylor expansion of (sin ky) in ky 3.162 * [taylor]: Taking taylor expansion of ky in ky 3.164 * [taylor]: Taking taylor expansion of (sin ky) in ky 3.164 * [taylor]: Taking taylor expansion of ky in ky 3.165 * [taylor]: Taking taylor expansion of 0 in kx 3.165 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx 3.165 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.165 * [taylor]: Taking taylor expansion of kx in kx 3.171 * [taylor]: Taking taylor expansion of 0 in kx 3.179 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3))))) in kx 3.179 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))) in kx 3.179 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (sin kx))) in kx 3.179 * [taylor]: Taking taylor expansion of 1/6 in kx 3.179 * [taylor]: Taking taylor expansion of (/ 1 (sin kx)) in kx 3.179 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.179 * [taylor]: Taking taylor expansion of kx in kx 3.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin kx) 3))) in kx 3.179 * [taylor]: Taking taylor expansion of 1/2 in kx 3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin kx) 3)) in kx 3.179 * [taylor]: Taking taylor expansion of (pow (sin kx) 3) in kx 3.179 * [taylor]: Taking taylor expansion of (sin kx) in kx 3.179 * [taylor]: Taking taylor expansion of kx in kx 3.199 * [taylor]: Taking taylor expansion of 0 in kx 3.200 * [approximate]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in (ky kx) around 0 3.200 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 3.200 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 3.200 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 3.200 * [taylor]: Taking taylor expansion of ky in kx 3.200 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 3.200 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 3.200 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 3.200 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 3.200 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.200 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.200 * [taylor]: Taking taylor expansion of kx in kx 3.200 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 3.200 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 3.200 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 3.200 * [taylor]: Taking taylor expansion of ky in kx 3.204 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 3.204 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 3.204 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 3.204 * [taylor]: Taking taylor expansion of ky in ky 3.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 3.204 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 3.204 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 3.204 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 3.204 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 3.204 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 3.204 * [taylor]: Taking taylor expansion of kx in ky 3.204 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 3.204 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 3.204 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 3.205 * [taylor]: Taking taylor expansion of ky in ky 3.208 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 3.208 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 3.208 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 3.208 * [taylor]: Taking taylor expansion of ky in ky 3.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 3.208 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 3.208 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 3.208 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 3.208 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 3.208 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 3.208 * [taylor]: Taking taylor expansion of kx in ky 3.209 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 3.209 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 3.209 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 3.209 * [taylor]: Taking taylor expansion of ky in ky 3.212 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 3.212 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 3.212 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 3.212 * [taylor]: Taking taylor expansion of ky in kx 3.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 3.213 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 3.213 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 3.213 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 3.213 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 3.213 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 3.213 * [taylor]: Taking taylor expansion of kx in kx 3.213 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 3.213 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 3.213 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 3.213 * [taylor]: Taking taylor expansion of ky in kx 3.217 * [taylor]: Taking taylor expansion of 0 in kx 3.223 * [taylor]: Taking taylor expansion of 0 in kx 3.241 * [taylor]: Taking taylor expansion of 0 in kx 3.241 * [approximate]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in (ky kx) around 0 3.242 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 3.242 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 3.242 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 3.242 * [taylor]: Taking taylor expansion of -1 in kx 3.242 * [taylor]: Taking taylor expansion of ky in kx 3.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 3.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 3.242 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 3.242 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 3.242 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.242 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.242 * [taylor]: Taking taylor expansion of -1 in kx 3.242 * [taylor]: Taking taylor expansion of kx in kx 3.242 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 3.242 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 3.242 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 3.242 * [taylor]: Taking taylor expansion of -1 in kx 3.242 * [taylor]: Taking taylor expansion of ky in kx 3.246 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 3.246 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 3.246 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 3.246 * [taylor]: Taking taylor expansion of -1 in ky 3.246 * [taylor]: Taking taylor expansion of ky in ky 3.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 3.246 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 3.246 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 3.246 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 3.246 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 3.246 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 3.246 * [taylor]: Taking taylor expansion of -1 in ky 3.246 * [taylor]: Taking taylor expansion of kx in ky 3.246 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 3.246 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 3.246 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 3.246 * [taylor]: Taking taylor expansion of -1 in ky 3.246 * [taylor]: Taking taylor expansion of ky in ky 3.250 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 3.250 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 3.250 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 3.250 * [taylor]: Taking taylor expansion of -1 in ky 3.250 * [taylor]: Taking taylor expansion of ky in ky 3.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 3.250 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 3.250 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 3.250 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 3.250 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 3.250 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 3.250 * [taylor]: Taking taylor expansion of -1 in ky 3.250 * [taylor]: Taking taylor expansion of kx in ky 3.250 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 3.250 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 3.250 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 3.250 * [taylor]: Taking taylor expansion of -1 in ky 3.251 * [taylor]: Taking taylor expansion of ky in ky 3.254 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 3.254 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 3.254 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 3.254 * [taylor]: Taking taylor expansion of -1 in kx 3.254 * [taylor]: Taking taylor expansion of ky in kx 3.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 3.254 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 3.254 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 3.254 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 3.254 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 3.254 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 3.254 * [taylor]: Taking taylor expansion of -1 in kx 3.255 * [taylor]: Taking taylor expansion of kx in kx 3.255 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 3.255 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 3.255 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 3.255 * [taylor]: Taking taylor expansion of -1 in kx 3.255 * [taylor]: Taking taylor expansion of ky in kx 3.259 * [taylor]: Taking taylor expansion of 0 in kx 3.266 * [taylor]: Taking taylor expansion of 0 in kx 3.278 * [taylor]: Taking taylor expansion of 0 in kx 3.278 * * * [progress]: simplifying candidates 3.280 * [simplify]: Simplifying using # : (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt 1) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (pow 1 2.0)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt 1) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (/ 1 2) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (log (sin kx)) 2.0) (* (log (sin kx)) 2.0) (* 1 2.0) (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin kx) (sqrt 2.0)) (pow (sin kx) 1) (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) (pow 1 2.0) (pow (sin kx) 2.0) (log (pow (sin kx) 2.0)) (exp (pow (sin kx) 2.0)) (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0))) (cbrt (pow (sin kx) 2.0)) (* (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (pow (sin kx) 2.0)) (sqrt (pow (sin kx) 2.0)) (sqrt (pow (sin kx) 2.0)) (pow (sin kx) (/ 2.0 2)) (pow (sin kx) (/ 2.0 2)) (* (log (sin ky)) 2.0) (* (log (sin ky)) 2.0) (* 1 2.0) (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin ky) (sqrt 2.0)) (pow (sin ky) 1) (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) (pow 1 2.0) (pow (sin ky) 2.0) (log (pow (sin ky) 2.0)) (exp (pow (sin ky) 2.0)) (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0))) (cbrt (pow (sin ky) 2.0)) (* (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (pow (sin ky) 2.0)) (sqrt (pow (sin ky) 2.0)) (sqrt (pow (sin ky) 2.0)) (pow (sin ky) (/ 2.0 2)) (pow (sin ky) (/ 2.0 2)) (- (log (sin ky)) (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (exp (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (* (sin ky) (sin ky)) (sin ky)) (* (* (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (- (sin ky)) (- (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (cbrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt 1)) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (pow 1 2.0))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt 1)) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) 1) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sqrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt 1)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt (pow 1 2.0))) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt 1)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) 1) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt 1)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (pow 1 2.0))) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt 1)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 1) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (sqrt (* (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt 1)) (/ (sin ky) (sqrt (pow 1 2.0))) (/ (sin ky) (sqrt 1)) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) 1) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3)))) (/ (sin ky) (sqrt (- (* (pow (sin kx) 2.0) (pow (sin kx) 2.0)) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0))))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4))) (pow (sin kx) 2.0) (pow (sin kx) 2.0) (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4))) (pow (sin ky) 2.0) (pow (sin ky) 2.0) (* 1/6 (* kx ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 3.285 * * [simplify]: iteration 0 : 170 enodes (cost 1738 ) 3.320 * * [simplify]: iteration 1 : 330 enodes (cost 1550 ) 3.388 * * [simplify]: iteration 2 : 815 enodes (cost 1503 ) 3.685 * * [simplify]: iteration 3 : 2660 enodes (cost 1503 ) 4.572 * * [simplify]: iteration done : 5000 enodes (cost 1503 ) 4.573 * [simplify]: Simplified to: (log (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (exp (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (pow (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 3) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (pow (sin ky) 2.0) (- (pow (sin ky) 2.0) (pow (sin kx) 2.0))) (pow (sin kx) (* 2 2.0)))) (sqrt (- (pow (sin kx) (* 2 2.0)) (pow (sin ky) (* 2 2.0)))) (sqrt (- (pow (sin kx) 2.0) (pow (sin ky) 2.0))) 1/2 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (log (pow (sin kx) 2.0)) (log (pow (sin kx) 2.0)) 2.0 (pow (sin kx) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin kx) (sqrt 2.0)) (sin kx) (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) (pow (sqrt (sin kx)) 2.0) 1 (pow (sin kx) 2.0) (log (pow (sin kx) 2.0)) (exp (pow (sin kx) 2.0)) (* (cbrt (pow (sin kx) 2.0)) (cbrt (pow (sin kx) 2.0))) (cbrt (pow (sin kx) 2.0)) (pow (pow (sin kx) 2.0) 3) (sqrt (pow (sin kx) 2.0)) (sqrt (pow (sin kx) 2.0)) (pow (sin kx) (/ 2.0 2)) (pow (sin kx) (/ 2.0 2)) (log (pow (sin ky) 2.0)) (log (pow (sin ky) 2.0)) 2.0 (pow (sin ky) (* (cbrt 2.0) (cbrt 2.0))) (pow (sin ky) (sqrt 2.0)) (sin ky) (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2.0) (pow (cbrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) (pow (sqrt (sin ky)) 2.0) 1 (pow (sin ky) 2.0) (log (pow (sin ky) 2.0)) (exp (pow (sin ky) 2.0)) (* (cbrt (pow (sin ky) 2.0)) (cbrt (pow (sin ky) 2.0))) (cbrt (pow (sin ky) 2.0)) (pow (pow (sin ky) 2.0) 3) (sqrt (pow (sin ky) 2.0)) (sqrt (pow (sin ky) 2.0)) (pow (sin ky) (/ 2.0 2)) (pow (sin ky) (/ 2.0 2)) (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (log (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (exp (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (pow (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 3) (* (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (cbrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (pow (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 3) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (- (sin ky)) (- (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (cbrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (* (cbrt (sin ky)) (cbrt (sin ky))) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (cbrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (* (cbrt (sin ky)) (cbrt (sin ky))) (/ (cbrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sqrt (sin ky)) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sqrt (sin ky)) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sqrt (sin ky)) (/ (sqrt (sin ky)) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) 1 (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ 1 (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (* (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))) (/ (sin ky) (fabs (cbrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin ky) (sin ky) (sin ky) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (sin ky) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (cbrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sqrt (sin ky))) (/ (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))) (sin ky)) (/ (sin ky) (sqrt (+ (pow (pow (sin kx) 2.0) 3) (pow (pow (sin ky) 2.0) 3)))) (/ (sin ky) (sqrt (- (pow (sin kx) (* 2 2.0)) (pow (sin ky) (* 2 2.0))))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (+ (pow kx 2) (* 0.04444444444444444 (pow kx 6))) (* 0.3333333333333333 (pow kx 4))) (pow (sin kx) 2.0) (pow (sin kx) 2.0) (- (+ (* 0.04444444444444444 (pow ky 6)) (pow ky 2)) (* 0.3333333333333333 (pow ky 4))) (pow (sin ky) 2.0) (pow (sin ky) 2.0) (* 1/6 (* kx ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 4.574 * * * [progress]: adding candidates to table 4.885 * * [progress]: iteration 2 / 4 4.886 * * * [progress]: picking best candidate 4.957 * * * * [pick]: Picked # 4.957 * * * [progress]: localizing error 4.973 * * * [progress]: generating rewritten candidates 4.973 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 4.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.043 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 5.044 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2) 5.050 * * * [progress]: generating series expansions 5.050 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 5.050 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in (kx ky) around 0 5.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 5.050 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 5.050 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 5.050 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 5.050 * [taylor]: Taking taylor expansion of (sin kx) in ky 5.050 * [taylor]: Taking taylor expansion of kx in ky 5.050 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 5.050 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.050 * [taylor]: Taking taylor expansion of ky in ky 5.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 5.053 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 5.053 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 5.053 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 5.053 * [taylor]: Taking taylor expansion of (sin kx) in kx 5.053 * [taylor]: Taking taylor expansion of kx in kx 5.054 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 5.054 * [taylor]: Taking taylor expansion of (sin ky) in kx 5.054 * [taylor]: Taking taylor expansion of ky in kx 5.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 5.056 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 5.056 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 5.056 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 5.056 * [taylor]: Taking taylor expansion of (sin kx) in kx 5.056 * [taylor]: Taking taylor expansion of kx in kx 5.057 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 5.057 * [taylor]: Taking taylor expansion of (sin ky) in kx 5.057 * [taylor]: Taking taylor expansion of ky in kx 5.060 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky 5.060 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.060 * [taylor]: Taking taylor expansion of ky in ky 5.061 * [taylor]: Taking taylor expansion of 0 in ky 5.069 * [taylor]: Taking taylor expansion of (/ -1/2 (pow (sin ky) 3)) in ky 5.069 * [taylor]: Taking taylor expansion of -1/2 in ky 5.069 * [taylor]: Taking taylor expansion of (pow (sin ky) 3) in ky 5.069 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.069 * [taylor]: Taking taylor expansion of ky in ky 5.083 * [taylor]: Taking taylor expansion of 0 in ky 5.091 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in (kx ky) around 0 5.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 5.091 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 5.091 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 5.091 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 5.091 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 5.091 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 5.091 * [taylor]: Taking taylor expansion of kx in ky 5.091 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 5.091 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.091 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.091 * [taylor]: Taking taylor expansion of ky in ky 5.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 5.095 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 5.095 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 5.095 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 5.095 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 5.095 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 5.095 * [taylor]: Taking taylor expansion of kx in kx 5.095 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 5.095 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 5.095 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 5.095 * [taylor]: Taking taylor expansion of ky in kx 5.098 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 5.099 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 5.099 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 5.099 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 5.099 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 5.099 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 5.099 * [taylor]: Taking taylor expansion of kx in kx 5.099 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 5.099 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 5.099 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 5.099 * [taylor]: Taking taylor expansion of ky in kx 5.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 5.103 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 5.103 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 5.103 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 5.103 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 5.103 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 5.103 * [taylor]: Taking taylor expansion of kx in ky 5.103 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 5.103 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.103 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.103 * [taylor]: Taking taylor expansion of ky in ky 5.106 * [taylor]: Taking taylor expansion of 0 in ky 5.110 * [taylor]: Taking taylor expansion of 0 in ky 5.120 * [taylor]: Taking taylor expansion of 0 in ky 5.120 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in (kx ky) around 0 5.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 5.120 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 5.120 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 5.120 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 5.120 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 5.120 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 5.120 * [taylor]: Taking taylor expansion of -1 in ky 5.120 * [taylor]: Taking taylor expansion of kx in ky 5.120 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 5.120 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.121 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.121 * [taylor]: Taking taylor expansion of -1 in ky 5.121 * [taylor]: Taking taylor expansion of ky in ky 5.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 5.124 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 5.124 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 5.124 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 5.124 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 5.124 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 5.124 * [taylor]: Taking taylor expansion of -1 in kx 5.124 * [taylor]: Taking taylor expansion of kx in kx 5.125 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 5.125 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 5.125 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 5.125 * [taylor]: Taking taylor expansion of -1 in kx 5.125 * [taylor]: Taking taylor expansion of ky in kx 5.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 5.128 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 5.128 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 5.128 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 5.128 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 5.128 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 5.128 * [taylor]: Taking taylor expansion of -1 in kx 5.128 * [taylor]: Taking taylor expansion of kx in kx 5.129 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 5.129 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 5.129 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 5.129 * [taylor]: Taking taylor expansion of -1 in kx 5.129 * [taylor]: Taking taylor expansion of ky in kx 5.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 5.132 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 5.132 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 5.132 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 5.132 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 5.132 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 5.132 * [taylor]: Taking taylor expansion of -1 in ky 5.132 * [taylor]: Taking taylor expansion of kx in ky 5.132 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 5.133 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.133 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.133 * [taylor]: Taking taylor expansion of -1 in ky 5.133 * [taylor]: Taking taylor expansion of ky in ky 5.136 * [taylor]: Taking taylor expansion of 0 in ky 5.140 * [taylor]: Taking taylor expansion of 0 in ky 5.149 * [taylor]: Taking taylor expansion of 0 in ky 5.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.150 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in (kx ky) around 0 5.150 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in ky 5.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 5.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 5.150 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 5.150 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 5.150 * [taylor]: Taking taylor expansion of (sin kx) in ky 5.150 * [taylor]: Taking taylor expansion of kx in ky 5.150 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 5.150 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.150 * [taylor]: Taking taylor expansion of ky in ky 5.157 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.157 * [taylor]: Taking taylor expansion of ky in ky 5.157 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in kx 5.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 5.157 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 5.157 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 5.157 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 5.157 * [taylor]: Taking taylor expansion of (sin kx) in kx 5.157 * [taylor]: Taking taylor expansion of kx in kx 5.158 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 5.158 * [taylor]: Taking taylor expansion of (sin ky) in kx 5.158 * [taylor]: Taking taylor expansion of ky in kx 5.160 * [taylor]: Taking taylor expansion of (sin ky) in kx 5.160 * [taylor]: Taking taylor expansion of ky in kx 5.160 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) in kx 5.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 5.160 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 5.160 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 5.160 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 5.160 * [taylor]: Taking taylor expansion of (sin kx) in kx 5.160 * [taylor]: Taking taylor expansion of kx in kx 5.161 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 5.161 * [taylor]: Taking taylor expansion of (sin ky) in kx 5.161 * [taylor]: Taking taylor expansion of ky in kx 5.163 * [taylor]: Taking taylor expansion of (sin ky) in kx 5.163 * [taylor]: Taking taylor expansion of ky in kx 5.163 * [taylor]: Taking taylor expansion of 1 in ky 5.165 * [taylor]: Taking taylor expansion of 0 in ky 5.171 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow (sin ky) 2)))) in ky 5.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow (sin ky) 2))) in ky 5.171 * [taylor]: Taking taylor expansion of 1/2 in ky 5.171 * [taylor]: Taking taylor expansion of (/ 1 (pow (sin ky) 2)) in ky 5.171 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 5.171 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.171 * [taylor]: Taking taylor expansion of ky in ky 5.183 * [taylor]: Taking taylor expansion of 0 in ky 5.186 * [approximate]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in (kx ky) around 0 5.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 5.186 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.186 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.186 * [taylor]: Taking taylor expansion of ky in ky 5.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 5.187 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 5.187 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 5.187 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 5.187 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 5.187 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 5.187 * [taylor]: Taking taylor expansion of kx in ky 5.187 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 5.187 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.187 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.187 * [taylor]: Taking taylor expansion of ky in ky 5.191 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 5.191 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 5.191 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 5.191 * [taylor]: Taking taylor expansion of ky in kx 5.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 5.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 5.191 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 5.191 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 5.191 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 5.191 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 5.191 * [taylor]: Taking taylor expansion of kx in kx 5.191 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 5.191 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 5.191 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 5.191 * [taylor]: Taking taylor expansion of ky in kx 5.194 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in kx 5.194 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 5.194 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 5.194 * [taylor]: Taking taylor expansion of ky in kx 5.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 5.195 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 5.195 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 5.195 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 5.195 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 5.195 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 5.195 * [taylor]: Taking taylor expansion of kx in kx 5.195 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 5.195 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 5.195 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 5.195 * [taylor]: Taking taylor expansion of ky in kx 5.199 * [taylor]: Taking taylor expansion of (* (sin (/ 1 ky)) (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))))) in ky 5.199 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.199 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.199 * [taylor]: Taking taylor expansion of ky in ky 5.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 5.199 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 5.199 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 5.199 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 5.199 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 5.199 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 5.199 * [taylor]: Taking taylor expansion of kx in ky 5.199 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 5.199 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.199 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.199 * [taylor]: Taking taylor expansion of ky in ky 5.205 * [taylor]: Taking taylor expansion of 0 in ky 5.212 * [taylor]: Taking taylor expansion of 0 in ky 5.225 * [taylor]: Taking taylor expansion of 0 in ky 5.226 * [approximate]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in (kx ky) around 0 5.226 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 5.226 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.226 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.226 * [taylor]: Taking taylor expansion of -1 in ky 5.226 * [taylor]: Taking taylor expansion of ky in ky 5.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 5.226 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 5.226 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 5.226 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 5.226 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 5.226 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 5.226 * [taylor]: Taking taylor expansion of -1 in ky 5.226 * [taylor]: Taking taylor expansion of kx in ky 5.226 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 5.226 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.226 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.226 * [taylor]: Taking taylor expansion of -1 in ky 5.226 * [taylor]: Taking taylor expansion of ky in ky 5.230 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 5.230 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 5.230 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 5.230 * [taylor]: Taking taylor expansion of -1 in kx 5.230 * [taylor]: Taking taylor expansion of ky in kx 5.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 5.230 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 5.230 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 5.230 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 5.230 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 5.230 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 5.230 * [taylor]: Taking taylor expansion of -1 in kx 5.230 * [taylor]: Taking taylor expansion of kx in kx 5.231 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 5.231 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 5.231 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 5.231 * [taylor]: Taking taylor expansion of -1 in kx 5.231 * [taylor]: Taking taylor expansion of ky in kx 5.234 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in kx 5.234 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 5.234 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 5.234 * [taylor]: Taking taylor expansion of -1 in kx 5.234 * [taylor]: Taking taylor expansion of ky in kx 5.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 5.234 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 5.234 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 5.234 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 5.234 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 5.234 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 5.234 * [taylor]: Taking taylor expansion of -1 in kx 5.234 * [taylor]: Taking taylor expansion of kx in kx 5.234 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 5.235 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 5.235 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 5.235 * [taylor]: Taking taylor expansion of -1 in kx 5.235 * [taylor]: Taking taylor expansion of ky in kx 5.238 * [taylor]: Taking taylor expansion of (* (sin (/ -1 ky)) (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))))) in ky 5.238 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.238 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.238 * [taylor]: Taking taylor expansion of -1 in ky 5.238 * [taylor]: Taking taylor expansion of ky in ky 5.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 5.239 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 5.239 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 5.239 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 5.239 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 5.239 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 5.239 * [taylor]: Taking taylor expansion of -1 in ky 5.239 * [taylor]: Taking taylor expansion of kx in ky 5.239 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 5.239 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.239 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.239 * [taylor]: Taking taylor expansion of -1 in ky 5.239 * [taylor]: Taking taylor expansion of ky in ky 5.249 * [taylor]: Taking taylor expansion of 0 in ky 5.256 * [taylor]: Taking taylor expansion of 0 in ky 5.269 * [taylor]: Taking taylor expansion of 0 in ky 5.269 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 5.269 * [approximate]: Taking taylor expansion of (pow (sin kx) 2) in (kx) around 0 5.269 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 5.269 * [taylor]: Taking taylor expansion of (sin kx) in kx 5.269 * [taylor]: Taking taylor expansion of kx in kx 5.270 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 5.270 * [taylor]: Taking taylor expansion of (sin kx) in kx 5.270 * [taylor]: Taking taylor expansion of kx in kx 5.277 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in (kx) around 0 5.277 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 5.277 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 5.277 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 5.277 * [taylor]: Taking taylor expansion of kx in kx 5.277 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 5.277 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 5.277 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 5.277 * [taylor]: Taking taylor expansion of kx in kx 5.282 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in (kx) around 0 5.282 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 5.282 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 5.282 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 5.282 * [taylor]: Taking taylor expansion of -1 in kx 5.282 * [taylor]: Taking taylor expansion of kx in kx 5.282 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 5.282 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 5.282 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 5.283 * [taylor]: Taking taylor expansion of -1 in kx 5.283 * [taylor]: Taking taylor expansion of kx in kx 5.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2) 5.287 * [approximate]: Taking taylor expansion of (pow (sin ky) 2) in (ky) around 0 5.287 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 5.287 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.287 * [taylor]: Taking taylor expansion of ky in ky 5.288 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 5.288 * [taylor]: Taking taylor expansion of (sin ky) in ky 5.288 * [taylor]: Taking taylor expansion of ky in ky 5.295 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in (ky) around 0 5.295 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 5.295 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.295 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.295 * [taylor]: Taking taylor expansion of ky in ky 5.295 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 5.295 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 5.295 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 5.295 * [taylor]: Taking taylor expansion of ky in ky 5.300 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in (ky) around 0 5.300 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 5.300 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.300 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.300 * [taylor]: Taking taylor expansion of -1 in ky 5.300 * [taylor]: Taking taylor expansion of ky in ky 5.301 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 5.301 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 5.301 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 5.301 * [taylor]: Taking taylor expansion of -1 in ky 5.301 * [taylor]: Taking taylor expansion of ky in ky 5.306 * * * [progress]: simplifying candidates 5.307 * [simplify]: Simplifying using # : (log (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (exp (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (* (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (/ (cbrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (cbrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (sqrt 1) (* (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (/ (sqrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (sqrt 1) (pow 1 2))) (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (* (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (pow 1 2))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt 1) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt 1) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (pow (sin kx) 2) 3) (pow (pow (sin ky) 2) 3)))) (sqrt (+ (* (pow (sin kx) 2) (pow (sin kx) 2)) (- (* (pow (sin ky) 2) (pow (sin ky) 2)) (* (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (- (* (pow (sin kx) 2) (pow (sin kx) 2)) (* (pow (sin ky) 2) (pow (sin ky) 2))))) (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ -1 2) (/ (- 1) 2) (/ 1 2) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (+ (log (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (log (sin ky))) (log (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (exp (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (* (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (* (sin ky) (sin ky)) (sin ky))) (* (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (* (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (cbrt (sin ky)) (cbrt (sin ky)))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (sin ky))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (cbrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (cbrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (cbrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (sqrt 1) (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (sqrt 1) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ (sqrt 1) (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (+ (* (pow (sin kx) 2) (pow (sin kx) 2)) (- (* (pow (sin ky) 2) (pow (sin ky) 2)) (* (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt 1) (sin ky)) (* (log (sin kx)) 2) (* (log (sin kx)) 2) (* 1 2) (pow (sin kx) (* (cbrt 2) (cbrt 2))) (pow (sin kx) (sqrt 2)) (pow (sin kx) 1) (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2) (pow (cbrt (sin kx)) 2) (pow (sqrt (sin kx)) 2) (pow (sqrt (sin kx)) 2) (pow 1 2) (pow (sin kx) 2) (log (pow (sin kx) 2)) (exp (pow (sin kx) 2)) (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2)) (* (* (pow (sin kx) 2) (pow (sin kx) 2)) (pow (sin kx) 2)) (sqrt (pow (sin kx) 2)) (sqrt (pow (sin kx) 2)) (pow (sin kx) (/ 2 2)) (pow (sin kx) (/ 2 2)) (* (log (sin ky)) 2) (* (log (sin ky)) 2) (* 1 2) (pow (sin ky) (* (cbrt 2) (cbrt 2))) (pow (sin ky) (sqrt 2)) (pow (sin ky) 1) (pow (* (cbrt (sin ky)) (cbrt (sin ky))) 2) (pow (cbrt (sin ky)) 2) (pow (sqrt (sin ky)) 2) (pow (sqrt (sin ky)) 2) (pow 1 2) (pow (sin ky) 2) (log (pow (sin ky) 2)) (exp (pow (sin ky) 2)) (* (cbrt (pow (sin ky) 2)) (cbrt (pow (sin ky) 2))) (cbrt (pow (sin ky) 2)) (* (* (pow (sin ky) 2) (pow (sin ky) 2)) (pow (sin ky) 2)) (sqrt (pow (sin ky) 2)) (sqrt (pow (sin ky) 2)) (pow (sin ky) (/ 2 2)) (pow (sin ky) (/ 2 2)) (- (+ (* 7/360 (pow ky 3)) (* 1/6 ky)) (* 17/240 (* (pow kx 2) ky))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1 (* 1/6 (pow kx 2))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (- (+ (pow kx 2) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) (pow (sin kx) 2) (pow (sin kx) 2) (- (+ (* 2/45 (pow ky 6)) (pow ky 2)) (* 1/3 (pow ky 4))) (pow (sin ky) 2) (pow (sin ky) 2) 5.312 * * [simplify]: iteration 0 : 190 enodes (cost 1895 ) 5.362 * * [simplify]: iteration 1 : 366 enodes (cost 1664 ) 5.444 * * [simplify]: iteration 2 : 849 enodes (cost 1565 ) 5.770 * * [simplify]: iteration 3 : 2385 enodes (cost 1555 ) 6.554 * * [simplify]: iteration done : 5000 enodes (cost 1555 ) 6.555 * [simplify]: Simplified to: (log (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (exp (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 3) (fabs (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (fabs (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fabs (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fabs (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 6) (pow (sin ky) 6)))) (sqrt (+ (- (pow (sin ky) 4) (* (pow (sin kx) 2) (pow (sin ky) 2))) (pow (sin kx) 4))) (sqrt (/ 1 (- (pow (sin kx) 4) (pow (sin ky) 4)))) (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) -1/2 -1/2 1/2 (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (log (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (log (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (exp (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (pow (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 3) (* (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)))) (cbrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (pow (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) 3) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (sqrt (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sin ky)) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sqrt (sin ky)) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sqrt (sin ky)) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sqrt (sin ky)) (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sin ky))) (* (pow (cbrt (sin ky)) 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (sin ky))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (cbrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (+ (- (pow (sin ky) 4) (* (pow (sin kx) 2) (pow (sin ky) 2))) (pow (sin kx) 4))) (sin ky)) (* (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) (sin ky)) (* (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (sin ky) (log (pow (sin kx) 2)) (log (pow (sin kx) 2)) 2 (pow (sin kx) (* (cbrt 2) (cbrt 2))) (pow (sin kx) (sqrt 2)) (sin kx) (pow (cbrt (sin kx)) 4) (pow (cbrt (sin kx)) 2) (sin kx) (sin kx) 1 (pow (sin kx) 2) (log (pow (sin kx) 2)) (exp (pow (sin kx) 2)) (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2)) (pow (sin kx) 6) (fabs (sin kx)) (fabs (sin kx)) (sin kx) (sin kx) (log (pow (sin ky) 2)) (log (pow (sin ky) 2)) 2 (pow (sin ky) (* (cbrt 2) (cbrt 2))) (pow (sin ky) (sqrt 2)) (sin ky) (pow (cbrt (sin ky)) 4) (pow (cbrt (sin ky)) 2) (sin ky) (sin ky) 1 (pow (sin ky) 2) (log (pow (sin ky) 2)) (exp (pow (sin ky) 2)) (* (cbrt (pow (sin ky) 2)) (cbrt (pow (sin ky) 2))) (cbrt (pow (sin ky) 2)) (pow (sin ky) 6) (fabs (sin ky)) (fabs (sin ky)) (sin ky) (sin ky) (+ (* ky (- 1/6 (* 17/240 (pow kx 2)))) (* 7/360 (pow ky 3))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (- 1 (* 1/6 (pow kx 2))) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (* (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky)) (- (+ (pow kx 2) (* 2/45 (pow kx 6))) (* 1/3 (pow kx 4))) (pow (sin kx) 2) (pow (sin kx) 2) (- (+ (* 2/45 (pow ky 6)) (pow ky 2)) (* 1/3 (pow ky 4))) (pow (sin ky) 2) (pow (sin ky) 2) 6.556 * * * [progress]: adding candidates to table 6.919 * * [progress]: iteration 3 / 4 6.919 * * * [progress]: picking best candidate 7.007 * * * * [pick]: Picked # 7.007 * * * [progress]: localizing error 7.031 * * * [progress]: generating rewritten candidates 7.031 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 1 2) 7.033 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1 1 2) 7.034 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1 1) 7.035 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.086 * * * [progress]: generating series expansions 7.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 1 2) 7.087 * [approximate]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in (kx) around 0 7.087 * [taylor]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in kx 7.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin kx) 2)))) in kx 7.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin kx) 2))) in kx 7.087 * [taylor]: Taking taylor expansion of 1/3 in kx 7.087 * [taylor]: Taking taylor expansion of (log (pow (sin kx) 2)) in kx 7.087 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.087 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.087 * [taylor]: Taking taylor expansion of kx in kx 7.088 * [taylor]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in kx 7.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin kx) 2)))) in kx 7.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin kx) 2))) in kx 7.088 * [taylor]: Taking taylor expansion of 1/3 in kx 7.088 * [taylor]: Taking taylor expansion of (log (pow (sin kx) 2)) in kx 7.088 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.088 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.089 * [taylor]: Taking taylor expansion of kx in kx 7.119 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in (kx) around 0 7.119 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in kx 7.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 kx)) 2)))) in kx 7.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 kx)) 2))) in kx 7.119 * [taylor]: Taking taylor expansion of 1/3 in kx 7.119 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 kx)) 2)) in kx 7.119 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.119 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.119 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.119 * [taylor]: Taking taylor expansion of kx in kx 7.120 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in kx 7.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 kx)) 2)))) in kx 7.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 kx)) 2))) in kx 7.120 * [taylor]: Taking taylor expansion of 1/3 in kx 7.120 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 kx)) 2)) in kx 7.120 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.120 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.120 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.120 * [taylor]: Taking taylor expansion of kx in kx 7.158 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in (kx) around 0 7.158 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in kx 7.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 kx)) 2)))) in kx 7.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 kx)) 2))) in kx 7.158 * [taylor]: Taking taylor expansion of 1/3 in kx 7.158 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 kx)) 2)) in kx 7.158 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.158 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.158 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.158 * [taylor]: Taking taylor expansion of -1 in kx 7.158 * [taylor]: Taking taylor expansion of kx in kx 7.159 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in kx 7.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 kx)) 2)))) in kx 7.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 kx)) 2))) in kx 7.159 * [taylor]: Taking taylor expansion of 1/3 in kx 7.159 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 kx)) 2)) in kx 7.159 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.159 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.159 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.159 * [taylor]: Taking taylor expansion of -1 in kx 7.159 * [taylor]: Taking taylor expansion of kx in kx 7.202 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1 1 2) 7.202 * [approximate]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in (kx) around 0 7.202 * [taylor]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in kx 7.202 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin kx) 2)))) in kx 7.202 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin kx) 2))) in kx 7.202 * [taylor]: Taking taylor expansion of 1/3 in kx 7.202 * [taylor]: Taking taylor expansion of (log (pow (sin kx) 2)) in kx 7.202 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.202 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.202 * [taylor]: Taking taylor expansion of kx in kx 7.203 * [taylor]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in kx 7.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin kx) 2)))) in kx 7.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin kx) 2))) in kx 7.203 * [taylor]: Taking taylor expansion of 1/3 in kx 7.203 * [taylor]: Taking taylor expansion of (log (pow (sin kx) 2)) in kx 7.203 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.203 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.203 * [taylor]: Taking taylor expansion of kx in kx 7.230 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in (kx) around 0 7.230 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in kx 7.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 kx)) 2)))) in kx 7.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 kx)) 2))) in kx 7.230 * [taylor]: Taking taylor expansion of 1/3 in kx 7.230 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 kx)) 2)) in kx 7.230 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.230 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.230 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.230 * [taylor]: Taking taylor expansion of kx in kx 7.231 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in kx 7.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 kx)) 2)))) in kx 7.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 kx)) 2))) in kx 7.231 * [taylor]: Taking taylor expansion of 1/3 in kx 7.231 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 kx)) 2)) in kx 7.231 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.231 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.231 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.231 * [taylor]: Taking taylor expansion of kx in kx 7.274 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in (kx) around 0 7.274 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in kx 7.274 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 kx)) 2)))) in kx 7.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 kx)) 2))) in kx 7.274 * [taylor]: Taking taylor expansion of 1/3 in kx 7.274 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 kx)) 2)) in kx 7.274 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.274 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.274 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.274 * [taylor]: Taking taylor expansion of -1 in kx 7.274 * [taylor]: Taking taylor expansion of kx in kx 7.275 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in kx 7.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 kx)) 2)))) in kx 7.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 kx)) 2))) in kx 7.275 * [taylor]: Taking taylor expansion of 1/3 in kx 7.275 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 kx)) 2)) in kx 7.275 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.275 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.275 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.275 * [taylor]: Taking taylor expansion of -1 in kx 7.275 * [taylor]: Taking taylor expansion of kx in kx 7.313 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1 1) 7.313 * [approximate]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in (kx) around 0 7.313 * [taylor]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in kx 7.313 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin kx) 2)))) in kx 7.313 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin kx) 2))) in kx 7.314 * [taylor]: Taking taylor expansion of 1/3 in kx 7.314 * [taylor]: Taking taylor expansion of (log (pow (sin kx) 2)) in kx 7.314 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.314 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.314 * [taylor]: Taking taylor expansion of kx in kx 7.315 * [taylor]: Taking taylor expansion of (pow (pow (sin kx) 2) 1/3) in kx 7.315 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin kx) 2)))) in kx 7.315 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin kx) 2))) in kx 7.315 * [taylor]: Taking taylor expansion of 1/3 in kx 7.315 * [taylor]: Taking taylor expansion of (log (pow (sin kx) 2)) in kx 7.315 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.315 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.315 * [taylor]: Taking taylor expansion of kx in kx 7.347 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in (kx) around 0 7.347 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in kx 7.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 kx)) 2)))) in kx 7.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 kx)) 2))) in kx 7.348 * [taylor]: Taking taylor expansion of 1/3 in kx 7.348 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 kx)) 2)) in kx 7.348 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.348 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.348 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.348 * [taylor]: Taking taylor expansion of kx in kx 7.348 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ 1 kx)) 2) 1/3) in kx 7.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ 1 kx)) 2)))) in kx 7.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ 1 kx)) 2))) in kx 7.348 * [taylor]: Taking taylor expansion of 1/3 in kx 7.348 * [taylor]: Taking taylor expansion of (log (pow (sin (/ 1 kx)) 2)) in kx 7.348 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.348 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.348 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.348 * [taylor]: Taking taylor expansion of kx in kx 7.386 * [approximate]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in (kx) around 0 7.386 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in kx 7.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 kx)) 2)))) in kx 7.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 kx)) 2))) in kx 7.386 * [taylor]: Taking taylor expansion of 1/3 in kx 7.386 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 kx)) 2)) in kx 7.386 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.386 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.386 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.386 * [taylor]: Taking taylor expansion of -1 in kx 7.386 * [taylor]: Taking taylor expansion of kx in kx 7.387 * [taylor]: Taking taylor expansion of (pow (pow (sin (/ -1 kx)) 2) 1/3) in kx 7.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (sin (/ -1 kx)) 2)))) in kx 7.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (sin (/ -1 kx)) 2))) in kx 7.387 * [taylor]: Taking taylor expansion of 1/3 in kx 7.387 * [taylor]: Taking taylor expansion of (log (pow (sin (/ -1 kx)) 2)) in kx 7.387 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.387 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.387 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.387 * [taylor]: Taking taylor expansion of -1 in kx 7.387 * [taylor]: Taking taylor expansion of kx in kx 7.425 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.426 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in (kx ky) around 0 7.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in ky 7.426 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 7.426 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 7.426 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 7.426 * [taylor]: Taking taylor expansion of (sin kx) in ky 7.426 * [taylor]: Taking taylor expansion of kx in ky 7.426 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 7.426 * [taylor]: Taking taylor expansion of (sin ky) in ky 7.426 * [taylor]: Taking taylor expansion of ky in ky 7.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 7.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 7.435 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 7.435 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.435 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.435 * [taylor]: Taking taylor expansion of kx in kx 7.435 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 7.435 * [taylor]: Taking taylor expansion of (sin ky) in kx 7.435 * [taylor]: Taking taylor expansion of ky in kx 7.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) in kx 7.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 7.438 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 7.438 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 7.438 * [taylor]: Taking taylor expansion of (sin kx) in kx 7.438 * [taylor]: Taking taylor expansion of kx in kx 7.438 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 7.438 * [taylor]: Taking taylor expansion of (sin ky) in kx 7.438 * [taylor]: Taking taylor expansion of ky in kx 7.441 * [taylor]: Taking taylor expansion of (/ 1 (sin ky)) in ky 7.441 * [taylor]: Taking taylor expansion of (sin ky) in ky 7.441 * [taylor]: Taking taylor expansion of ky in ky 7.442 * [taylor]: Taking taylor expansion of 0 in ky 7.447 * [taylor]: Taking taylor expansion of (/ -1/2 (pow (sin ky) 3)) in ky 7.447 * [taylor]: Taking taylor expansion of -1/2 in ky 7.447 * [taylor]: Taking taylor expansion of (pow (sin ky) 3) in ky 7.447 * [taylor]: Taking taylor expansion of (sin ky) in ky 7.448 * [taylor]: Taking taylor expansion of ky in ky 7.462 * [taylor]: Taking taylor expansion of 0 in ky 7.470 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in (kx ky) around 0 7.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 7.470 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 7.470 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 7.470 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 7.470 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 7.470 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 7.470 * [taylor]: Taking taylor expansion of kx in ky 7.470 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 7.470 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 7.470 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 7.470 * [taylor]: Taking taylor expansion of ky in ky 7.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 7.474 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 7.474 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 7.474 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.474 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.474 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.474 * [taylor]: Taking taylor expansion of kx in kx 7.474 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 7.474 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 7.474 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 7.474 * [taylor]: Taking taylor expansion of ky in kx 7.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in kx 7.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 7.478 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 7.478 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 7.478 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 7.478 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 7.478 * [taylor]: Taking taylor expansion of kx in kx 7.478 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 7.478 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 7.478 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 7.478 * [taylor]: Taking taylor expansion of ky in kx 7.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)))) in ky 7.482 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 7.482 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 7.482 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 7.482 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 7.482 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 7.482 * [taylor]: Taking taylor expansion of kx in ky 7.482 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 7.482 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 7.482 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 7.482 * [taylor]: Taking taylor expansion of ky in ky 7.486 * [taylor]: Taking taylor expansion of 0 in ky 7.490 * [taylor]: Taking taylor expansion of 0 in ky 7.499 * [taylor]: Taking taylor expansion of 0 in ky 7.500 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in (kx ky) around 0 7.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 7.500 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 7.500 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 7.500 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 7.500 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 7.500 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 7.500 * [taylor]: Taking taylor expansion of -1 in ky 7.500 * [taylor]: Taking taylor expansion of kx in ky 7.501 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 7.501 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 7.501 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 7.501 * [taylor]: Taking taylor expansion of -1 in ky 7.501 * [taylor]: Taking taylor expansion of ky in ky 7.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 7.504 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 7.504 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 7.504 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.504 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.504 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.504 * [taylor]: Taking taylor expansion of -1 in kx 7.504 * [taylor]: Taking taylor expansion of kx in kx 7.505 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 7.505 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 7.505 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 7.505 * [taylor]: Taking taylor expansion of -1 in kx 7.505 * [taylor]: Taking taylor expansion of ky in kx 7.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in kx 7.509 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 7.509 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 7.509 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 7.509 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 7.509 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 7.509 * [taylor]: Taking taylor expansion of -1 in kx 7.509 * [taylor]: Taking taylor expansion of kx in kx 7.509 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 7.509 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 7.509 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 7.509 * [taylor]: Taking taylor expansion of -1 in kx 7.509 * [taylor]: Taking taylor expansion of ky in kx 7.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)))) in ky 7.513 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 7.513 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 7.513 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 7.513 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 7.513 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 7.513 * [taylor]: Taking taylor expansion of -1 in ky 7.513 * [taylor]: Taking taylor expansion of kx in ky 7.513 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 7.513 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 7.513 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 7.513 * [taylor]: Taking taylor expansion of -1 in ky 7.513 * [taylor]: Taking taylor expansion of ky in ky 7.517 * [taylor]: Taking taylor expansion of 0 in ky 7.526 * [taylor]: Taking taylor expansion of 0 in ky 7.536 * [taylor]: Taking taylor expansion of 0 in ky 7.536 * * * [progress]: simplifying candidates 7.537 * [simplify]: Simplifying using # : (log (cbrt (pow (sin kx) 2))) (exp (cbrt (pow (sin kx) 2))) (cbrt (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2)) (cbrt (pow (cbrt (sin kx)) 2)) (cbrt (pow (sqrt (sin kx)) 2)) (cbrt (pow (sqrt (sin kx)) 2)) (cbrt (pow 1 2)) (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (cbrt (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (cbrt (sqrt (pow (sin kx) 2))) (cbrt (sqrt (pow (sin kx) 2))) (cbrt 1) (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) (/ 2 2))) (cbrt (pow (sin kx) (/ 2 2))) (* (cbrt (cbrt (pow (sin kx) 2))) (cbrt (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (log (cbrt (pow (sin kx) 2))) (exp (cbrt (pow (sin kx) 2))) (cbrt (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2)) (cbrt (pow (cbrt (sin kx)) 2)) (cbrt (pow (sqrt (sin kx)) 2)) (cbrt (pow (sqrt (sin kx)) 2)) (cbrt (pow 1 2)) (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (cbrt (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (cbrt (sqrt (pow (sin kx) 2))) (cbrt (sqrt (pow (sin kx) 2))) (cbrt 1) (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) (/ 2 2))) (cbrt (pow (sin kx) (/ 2 2))) (* (cbrt (cbrt (pow (sin kx) 2))) (cbrt (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (log (cbrt (pow (sin kx) 2))) (exp (cbrt (pow (sin kx) 2))) (cbrt (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2)) (cbrt (pow (cbrt (sin kx)) 2)) (cbrt (pow (sqrt (sin kx)) 2)) (cbrt (pow (sqrt (sin kx)) 2)) (cbrt (pow 1 2)) (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (cbrt (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (cbrt (sqrt (pow (sin kx) 2))) (cbrt (sqrt (pow (sin kx) 2))) (cbrt 1) (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) (/ 2 2))) (cbrt (pow (sin kx) (/ 2 2))) (* (cbrt (cbrt (pow (sin kx) 2))) (cbrt (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (log (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (exp (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (* (cbrt (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (cbrt (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))))) (cbrt (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (* (* (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (* (cbrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))) (cbrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))))) (sqrt (cbrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))) (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))))) (sqrt (/ (cbrt 1) (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ (cbrt 1) (sqrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (/ (sqrt 1) (* (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))) (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))))) (sqrt (/ (sqrt 1) (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) (sqrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (/ 1 (* (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))) (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))))) (sqrt (/ 1 (cbrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ 1 (sqrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt 1) (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt 1) (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) 3) (pow (pow (sin ky) 2) 3)))) (sqrt (+ (* (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2)))) (- (* (pow (sin ky) 2) (pow (sin ky) 2)) (* (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (/ 1 (- (* (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2)))) (* (pow (sin ky) 2) (pow (sin ky) 2))))) (sqrt (- (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))) (sqrt 1) (sqrt (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))) (/ -1 2) (/ (- 1) 2) (/ 1 2) (sqrt (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (* (* (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2))) (cbrt (pow (sin kx) 2))) (pow (sin ky) 2))))) (- (+ (* 1/405 (pow (pow kx 14) 1/3)) (pow kx 2/3)) (* 1/9 (pow (pow kx 8) 1/3))) (pow (pow (sin kx) 2) 1/3) (pow (pow (sin kx) 2) 1/3) (- (+ (* 1/405 (pow (pow kx 14) 1/3)) (pow kx 2/3)) (* 1/9 (pow (pow kx 8) 1/3))) (pow (pow (sin kx) 2) 1/3) (pow (pow (sin kx) 2) 1/3) (- (+ (* 1/405 (pow (pow kx 14) 1/3)) (pow kx 2/3)) (* 1/9 (pow (pow kx 8) 1/3))) (pow (pow (sin kx) 2) 1/3) (pow (pow (sin kx) 2) 1/3) (- (+ (* 7/360 (pow ky 3)) (* 1/6 ky)) (* 17/240 (* (pow kx 2) ky))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 7.542 * * [simplify]: iteration 0 : 135 enodes (cost 1736 ) 7.569 * * [simplify]: iteration 1 : 258 enodes (cost 1591 ) 7.625 * * [simplify]: iteration 2 : 576 enodes (cost 909 ) 7.801 * * [simplify]: iteration 3 : 1761 enodes (cost 899 ) 8.535 * * [simplify]: iteration done : 5000 enodes (cost 899 ) 8.536 * [simplify]: Simplified to: (log (cbrt (pow (sin kx) 2))) (exp (cbrt (pow (sin kx) 2))) (cbrt (pow (cbrt (sin kx)) 4)) (cbrt (pow (cbrt (sin kx)) 2)) (cbrt (sin kx)) (cbrt (sin kx)) 1 (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (cbrt (pow (pow (sin kx) 2) 2/3)) (cbrt (cbrt (pow (sin kx) 2))) (cbrt (fabs (sin kx))) (cbrt (fabs (sin kx))) 1 (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (* (cbrt (cbrt (pow (sin kx) 2))) (cbrt (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (pow (sin kx) 2) (sqrt (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (log (cbrt (pow (sin kx) 2))) (exp (cbrt (pow (sin kx) 2))) (cbrt (pow (cbrt (sin kx)) 4)) (cbrt (pow (cbrt (sin kx)) 2)) (cbrt (sin kx)) (cbrt (sin kx)) 1 (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (cbrt (pow (pow (sin kx) 2) 2/3)) (cbrt (cbrt (pow (sin kx) 2))) (cbrt (fabs (sin kx))) (cbrt (fabs (sin kx))) 1 (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (* (cbrt (cbrt (pow (sin kx) 2))) (cbrt (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (pow (sin kx) 2) (sqrt (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (log (cbrt (pow (sin kx) 2))) (exp (cbrt (pow (sin kx) 2))) (cbrt (pow (cbrt (sin kx)) 4)) (cbrt (pow (cbrt (sin kx)) 2)) (cbrt (sin kx)) (cbrt (sin kx)) 1 (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (cbrt (pow (pow (sin kx) 2) 2/3)) (cbrt (cbrt (pow (sin kx) 2))) (cbrt (fabs (sin kx))) (cbrt (fabs (sin kx))) 1 (cbrt (pow (sin kx) 2)) (cbrt (sin kx)) (cbrt (sin kx)) (* (cbrt (cbrt (pow (sin kx) 2))) (cbrt (cbrt (pow (sin kx) 2)))) (cbrt (cbrt (pow (sin kx) 2))) (pow (sin kx) 2) (sqrt (cbrt (pow (sin kx) 2))) (sqrt (cbrt (pow (sin kx) 2))) (log (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (exp (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (cbrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (pow (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 3) (fabs (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (cbrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (fabs (/ 1 (cbrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fabs (/ 1 (cbrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fabs (/ 1 (cbrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (cbrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) (sqrt (/ 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (pow (sin kx) 2) 3) (pow (sin ky) 6)))) (sqrt (- (pow (sin ky) 4) (- (* (pow (sin ky) 2) (pow (sin kx) 2)) (pow (sin kx) 4)))) (sqrt (/ 1 (- (pow (sin kx) 4) (pow (sin ky) 4)))) (sqrt (- (pow (sin kx) 2) (pow (sin ky) 2))) 1 (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2))) -1/2 -1/2 1/2 (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (sqrt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (+ (* 1/405 (cbrt (pow kx 14))) (- (pow kx 2/3) (* 1/9 (cbrt (pow kx 8))))) (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2)) (+ (* 1/405 (cbrt (pow kx 14))) (- (pow kx 2/3) (* 1/9 (cbrt (pow kx 8))))) (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2)) (+ (* 1/405 (cbrt (pow kx 14))) (- (pow kx 2/3) (* 1/9 (cbrt (pow kx 8))))) (cbrt (pow (sin kx) 2)) (cbrt (pow (sin kx) 2)) (+ (* ky (- 1/6 (* 17/240 (pow kx 2)))) (* 7/360 (pow ky 3))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 8.537 * * * [progress]: adding candidates to table 8.837 * * [progress]: iteration 4 / 4 8.838 * * * [progress]: picking best candidate 8.923 * * * * [pick]: Picked # 8.923 * * * [progress]: localizing error 8.943 * * * [progress]: generating rewritten candidates 8.944 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 8.957 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 2 1) 8.957 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1 2) 8.958 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1 1 1) 8.959 * * * [progress]: generating series expansions 8.959 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 8.960 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in (kx ky) around 0 8.960 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in ky 8.960 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in ky 8.960 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in ky 8.960 * [taylor]: Taking taylor expansion of (sin kx) in ky 8.960 * [taylor]: Taking taylor expansion of kx in ky 8.960 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in ky 8.960 * [taylor]: Taking taylor expansion of (sin ky) in ky 8.960 * [taylor]: Taking taylor expansion of ky in ky 8.962 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 8.963 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 8.963 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 8.963 * [taylor]: Taking taylor expansion of (sin kx) in kx 8.963 * [taylor]: Taking taylor expansion of kx in kx 8.963 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 8.963 * [taylor]: Taking taylor expansion of (sin ky) in kx 8.963 * [taylor]: Taking taylor expansion of ky in kx 8.965 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) in kx 8.965 * [taylor]: Taking taylor expansion of (+ (pow (sin kx) 2) (pow (sin ky) 2)) in kx 8.965 * [taylor]: Taking taylor expansion of (pow (sin kx) 2) in kx 8.966 * [taylor]: Taking taylor expansion of (sin kx) in kx 8.966 * [taylor]: Taking taylor expansion of kx in kx 8.966 * [taylor]: Taking taylor expansion of (pow (sin ky) 2) in kx 8.966 * [taylor]: Taking taylor expansion of (sin ky) in kx 8.966 * [taylor]: Taking taylor expansion of ky in kx 8.968 * [taylor]: Taking taylor expansion of (sin ky) in ky 8.968 * [taylor]: Taking taylor expansion of ky in ky 8.968 * [taylor]: Taking taylor expansion of 0 in ky 8.972 * [taylor]: Taking taylor expansion of (/ 1/2 (sin ky)) in ky 8.972 * [taylor]: Taking taylor expansion of 1/2 in ky 8.972 * [taylor]: Taking taylor expansion of (sin ky) in ky 8.972 * [taylor]: Taking taylor expansion of ky in ky 8.978 * [taylor]: Taking taylor expansion of 0 in ky 8.981 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in (kx ky) around 0 8.981 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 8.981 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 8.981 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 8.981 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 8.981 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 8.981 * [taylor]: Taking taylor expansion of kx in ky 8.981 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 8.981 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 8.981 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 8.981 * [taylor]: Taking taylor expansion of ky in ky 8.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 8.984 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 8.984 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 8.984 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 8.984 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 8.984 * [taylor]: Taking taylor expansion of kx in kx 8.985 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 8.985 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 8.985 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 8.985 * [taylor]: Taking taylor expansion of ky in kx 8.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in kx 8.987 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in kx 8.988 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in kx 8.988 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 8.988 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 8.988 * [taylor]: Taking taylor expansion of kx in kx 8.988 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in kx 8.988 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in kx 8.988 * [taylor]: Taking taylor expansion of (/ 1 ky) in kx 8.988 * [taylor]: Taking taylor expansion of ky in kx 8.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2))) in ky 8.991 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ 1 kx)) 2) (pow (sin (/ 1 ky)) 2)) in ky 8.991 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 2) in ky 8.991 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in ky 8.991 * [taylor]: Taking taylor expansion of (/ 1 kx) in ky 8.991 * [taylor]: Taking taylor expansion of kx in ky 8.991 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 ky)) 2) in ky 8.991 * [taylor]: Taking taylor expansion of (sin (/ 1 ky)) in ky 8.991 * [taylor]: Taking taylor expansion of (/ 1 ky) in ky 8.991 * [taylor]: Taking taylor expansion of ky in ky 8.994 * [taylor]: Taking taylor expansion of 0 in ky 8.998 * [taylor]: Taking taylor expansion of 0 in ky 9.199 * [taylor]: Taking taylor expansion of 0 in ky 9.200 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in (kx ky) around 0 9.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 9.200 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 9.200 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 9.200 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 9.200 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 9.200 * [taylor]: Taking taylor expansion of -1 in ky 9.200 * [taylor]: Taking taylor expansion of kx in ky 9.200 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 9.200 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 9.200 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 9.200 * [taylor]: Taking taylor expansion of -1 in ky 9.200 * [taylor]: Taking taylor expansion of ky in ky 9.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 9.203 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 9.203 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 9.203 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.203 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.203 * [taylor]: Taking taylor expansion of -1 in kx 9.203 * [taylor]: Taking taylor expansion of kx in kx 9.204 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 9.204 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 9.204 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 9.204 * [taylor]: Taking taylor expansion of -1 in kx 9.204 * [taylor]: Taking taylor expansion of ky in kx 9.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in kx 9.208 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in kx 9.208 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in kx 9.208 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.208 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.208 * [taylor]: Taking taylor expansion of -1 in kx 9.208 * [taylor]: Taking taylor expansion of kx in kx 9.208 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in kx 9.208 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in kx 9.208 * [taylor]: Taking taylor expansion of (/ -1 ky) in kx 9.208 * [taylor]: Taking taylor expansion of -1 in kx 9.208 * [taylor]: Taking taylor expansion of ky in kx 9.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2))) in ky 9.211 * [taylor]: Taking taylor expansion of (+ (pow (sin (/ -1 kx)) 2) (pow (sin (/ -1 ky)) 2)) in ky 9.211 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 2) in ky 9.211 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in ky 9.211 * [taylor]: Taking taylor expansion of (/ -1 kx) in ky 9.211 * [taylor]: Taking taylor expansion of -1 in ky 9.211 * [taylor]: Taking taylor expansion of kx in ky 9.211 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 ky)) 2) in ky 9.211 * [taylor]: Taking taylor expansion of (sin (/ -1 ky)) in ky 9.211 * [taylor]: Taking taylor expansion of (/ -1 ky) in ky 9.211 * [taylor]: Taking taylor expansion of -1 in ky 9.211 * [taylor]: Taking taylor expansion of ky in ky 9.214 * [taylor]: Taking taylor expansion of 0 in ky 9.218 * [taylor]: Taking taylor expansion of 0 in ky 9.226 * [taylor]: Taking taylor expansion of 0 in ky 9.227 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 2 1) 9.227 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 9.227 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 9.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 9.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 9.227 * [taylor]: Taking taylor expansion of 1/3 in kx 9.227 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 9.227 * [taylor]: Taking taylor expansion of (sin kx) in kx 9.227 * [taylor]: Taking taylor expansion of kx in kx 9.228 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 9.228 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 9.228 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 9.228 * [taylor]: Taking taylor expansion of 1/3 in kx 9.228 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 9.228 * [taylor]: Taking taylor expansion of (sin kx) in kx 9.228 * [taylor]: Taking taylor expansion of kx in kx 9.252 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 9.252 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 9.252 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 9.252 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 9.252 * [taylor]: Taking taylor expansion of 1/3 in kx 9.252 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 9.252 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 9.252 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 9.252 * [taylor]: Taking taylor expansion of kx in kx 9.253 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 9.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 9.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 9.253 * [taylor]: Taking taylor expansion of 1/3 in kx 9.253 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 9.253 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 9.253 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 9.253 * [taylor]: Taking taylor expansion of kx in kx 9.289 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 9.289 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 9.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 9.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 9.289 * [taylor]: Taking taylor expansion of 1/3 in kx 9.289 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 9.289 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.289 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.289 * [taylor]: Taking taylor expansion of -1 in kx 9.289 * [taylor]: Taking taylor expansion of kx in kx 9.290 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 9.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 9.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 9.290 * [taylor]: Taking taylor expansion of 1/3 in kx 9.290 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 9.290 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.290 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.290 * [taylor]: Taking taylor expansion of -1 in kx 9.290 * [taylor]: Taking taylor expansion of kx in kx 9.322 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1 2) 9.322 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 9.322 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 9.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 9.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 9.322 * [taylor]: Taking taylor expansion of 1/3 in kx 9.322 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 9.322 * [taylor]: Taking taylor expansion of (sin kx) in kx 9.322 * [taylor]: Taking taylor expansion of kx in kx 9.323 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 9.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 9.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 9.323 * [taylor]: Taking taylor expansion of 1/3 in kx 9.323 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 9.323 * [taylor]: Taking taylor expansion of (sin kx) in kx 9.323 * [taylor]: Taking taylor expansion of kx in kx 9.348 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 9.348 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 9.348 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 9.348 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 9.348 * [taylor]: Taking taylor expansion of 1/3 in kx 9.348 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 9.348 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 9.348 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 9.348 * [taylor]: Taking taylor expansion of kx in kx 9.349 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 9.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 9.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 9.349 * [taylor]: Taking taylor expansion of 1/3 in kx 9.349 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 9.349 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 9.349 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 9.349 * [taylor]: Taking taylor expansion of kx in kx 9.386 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 9.386 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 9.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 9.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 9.386 * [taylor]: Taking taylor expansion of 1/3 in kx 9.386 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 9.386 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.386 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.386 * [taylor]: Taking taylor expansion of -1 in kx 9.386 * [taylor]: Taking taylor expansion of kx in kx 9.387 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 9.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 9.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 9.387 * [taylor]: Taking taylor expansion of 1/3 in kx 9.387 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 9.387 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.387 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.387 * [taylor]: Taking taylor expansion of -1 in kx 9.387 * [taylor]: Taking taylor expansion of kx in kx 9.419 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1 1 1) 9.420 * [approximate]: Taking taylor expansion of (pow (sin kx) 1/3) in (kx) around 0 9.420 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 9.420 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 9.420 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 9.420 * [taylor]: Taking taylor expansion of 1/3 in kx 9.420 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 9.420 * [taylor]: Taking taylor expansion of (sin kx) in kx 9.420 * [taylor]: Taking taylor expansion of kx in kx 9.421 * [taylor]: Taking taylor expansion of (pow (sin kx) 1/3) in kx 9.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin kx)))) in kx 9.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin kx))) in kx 9.421 * [taylor]: Taking taylor expansion of 1/3 in kx 9.421 * [taylor]: Taking taylor expansion of (log (sin kx)) in kx 9.421 * [taylor]: Taking taylor expansion of (sin kx) in kx 9.421 * [taylor]: Taking taylor expansion of kx in kx 9.450 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in (kx) around 0 9.450 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 9.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 9.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 9.451 * [taylor]: Taking taylor expansion of 1/3 in kx 9.451 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 9.451 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 9.451 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 9.451 * [taylor]: Taking taylor expansion of kx in kx 9.451 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 kx)) 1/3) in kx 9.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 kx))))) in kx 9.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 kx)))) in kx 9.451 * [taylor]: Taking taylor expansion of 1/3 in kx 9.451 * [taylor]: Taking taylor expansion of (log (sin (/ 1 kx))) in kx 9.451 * [taylor]: Taking taylor expansion of (sin (/ 1 kx)) in kx 9.451 * [taylor]: Taking taylor expansion of (/ 1 kx) in kx 9.451 * [taylor]: Taking taylor expansion of kx in kx 9.483 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in (kx) around 0 9.483 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 9.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 9.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 9.483 * [taylor]: Taking taylor expansion of 1/3 in kx 9.483 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 9.483 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.483 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.483 * [taylor]: Taking taylor expansion of -1 in kx 9.483 * [taylor]: Taking taylor expansion of kx in kx 9.484 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 kx)) 1/3) in kx 9.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 kx))))) in kx 9.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 kx)))) in kx 9.484 * [taylor]: Taking taylor expansion of 1/3 in kx 9.484 * [taylor]: Taking taylor expansion of (log (sin (/ -1 kx))) in kx 9.484 * [taylor]: Taking taylor expansion of (sin (/ -1 kx)) in kx 9.484 * [taylor]: Taking taylor expansion of (/ -1 kx) in kx 9.484 * [taylor]: Taking taylor expansion of -1 in kx 9.484 * [taylor]: Taking taylor expansion of kx in kx 9.516 * * * [progress]: simplifying candidates 9.517 * [simplify]: Simplifying using # : (log (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (exp (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (* (* (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (* (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (sqrt (cbrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt 1) (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (pow (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0))) (- (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)) (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (sqrt (- (* (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0))) (* (pow (sin ky) 2.0) (pow (sin ky) 2.0)))) (sqrt (- (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (/ 1 2) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (* (cbrt (sin kx)) (cbrt (sin kx))) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (* (cbrt (sin kx)) (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt 1) (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (* (* (cbrt (sin kx)) (cbrt (sin kx))) (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) (- (pow kx 1/3) (+ (* 1/3240 (pow (pow kx 13) 1/3)) (* 1/18 (pow (pow kx 7) 1/3)))) (pow (sin kx) 1/3) (pow (sin kx) 1/3) 9.520 * * [simplify]: iteration 0 : 81 enodes (cost 818 ) 9.539 * * [simplify]: iteration 1 : 187 enodes (cost 744 ) 9.573 * * [simplify]: iteration 2 : 481 enodes (cost 620 ) 9.718 * * [simplify]: iteration 3 : 1608 enodes (cost 609 ) 10.492 * * [simplify]: iteration done : 5000 enodes (cost 609 ) 10.492 * [simplify]: Simplified to: (log (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (exp (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (* (cbrt (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (cbrt (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))))) (cbrt (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (pow (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) 3) (fabs (cbrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (cbrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) 1 (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (sqrt (+ (pow (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) 3) (pow (pow (sin ky) 2.0) 3))) (sqrt (+ (* (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (- (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) (pow (sin ky) (* 2 2.0)))) (sqrt (- (* (pow (cbrt (sin kx)) (* 2 2.0)) (pow (pow (sin kx) 2/3) (* 2 2.0))) (pow (sin ky) (* 2 2.0)))) (sqrt (- (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0))) 1/2 (sqrt (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (sqrt (sqrt (+ (* (pow (pow (sin kx) 2/3) 2.0) (pow (cbrt (sin kx)) 2.0)) (pow (sin ky) 2.0)))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (pow (sin kx) 2/3)) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) 1 (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (pow (sin kx) 2/3)) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) 1 (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (log (cbrt (sin kx))) (exp (cbrt (sin kx))) (cbrt (pow (sin kx) 2/3)) (cbrt (cbrt (sin kx))) (cbrt (sqrt (sin kx))) (cbrt (sqrt (sin kx))) 1 (cbrt (sin kx)) (* (cbrt (cbrt (sin kx))) (cbrt (cbrt (sin kx)))) (cbrt (cbrt (sin kx))) (sin kx) (sqrt (cbrt (sin kx))) (sqrt (cbrt (sin kx))) (- (+ ky (* 1/12 (* (pow kx 2) ky))) (* 1/6 (pow ky 3))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (- (cbrt kx) (+ (* 1/18 (cbrt (pow kx 7))) (* 1/3240 (cbrt (pow kx 13))))) (cbrt (sin kx)) (cbrt (sin kx)) (- (cbrt kx) (+ (* 1/18 (cbrt (pow kx 7))) (* 1/3240 (cbrt (pow kx 13))))) (cbrt (sin kx)) (cbrt (sin kx)) (- (cbrt kx) (+ (* 1/18 (cbrt (pow kx 7))) (* 1/3240 (cbrt (pow kx 13))))) (cbrt (sin kx)) (cbrt (sin kx)) 10.493 * * * [progress]: adding candidates to table 10.747 * [progress]: [Phase 3 of 3] Extracting. 10.747 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # #) 10.758 * * * [regime-changes]: Trying 8 branch expressions: ((sin th) (sin kx) (pow (sin kx) 2.0) (sin ky) (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) th ky kx) 10.758 * * * * [regimes]: Trying to branch on (sin th) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 10.883 * * * * [regimes]: Trying to branch on (sin kx) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 11.006 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 11.128 * * * * [regimes]: Trying to branch on (pow (sin kx) 2.0) from (# # # # # # # # # # # #) 11.195 * * * * [regimes]: Trying to branch on (sin ky) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 11.317 * * * * [regimes]: Trying to branch on (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) from (# # # # # # # # # # # # # # # # # # # # # # # # #) 11.460 * * * * [regimes]: Trying to branch on (/ (sin ky) (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))) from (# # # #) 11.504 * * * * [regimes]: Trying to branch on th from (# # # # # # # # # # # # # # # # # # # # # # # # #) 11.624 * * * * [regimes]: Trying to branch on ky from (# # # # # # # # # # # # # # # # # # # # # # # # #) 11.746 * * * * [regimes]: Trying to branch on kx from (# # # # # # # # # # # # # # # # # # # # # # # # #) 11.870 * * * [regime]: Found split indices: #