12.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.028 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.029 * * [simplify]: iteration 1 : 6 enodes (cost 7 ) 0.029 * * [simplify]: iteration done : 6 enodes (cost 7 ) 0.029 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * * * [progress]: simplifying candidates 0.047 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.048 * * [simplify]: iteration 0 : 30 enodes (cost 166 ) 0.052 * * [simplify]: iteration 1 : 101 enodes (cost 161 ) 0.077 * * [simplify]: iteration 2 : 442 enodes (cost 131 ) 0.173 * * [simplify]: iteration 3 : 1058 enodes (cost 131 ) 0.381 * * [simplify]: iteration 4 : 2217 enodes (cost 131 ) 0.843 * * [simplify]: iteration done : 5001 enodes (cost 131 ) 0.843 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.843 * * * [progress]: adding candidates to table 0.860 * * [progress]: iteration 2 / 4 0.860 * * * [progress]: picking best candidate 0.863 * * * * [pick]: Picked # 0.863 * * * [progress]: localizing error 0.870 * * * [progress]: generating rewritten candidates 0.870 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.874 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.902 * * * [progress]: generating series expansions 0.902 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.902 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.902 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.902 * [taylor]: Taking taylor expansion of x in y 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.902 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.903 * [taylor]: Taking taylor expansion of 1/2 in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.904 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.904 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of 1 in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.905 * [taylor]: Taking taylor expansion of 1/2 in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of 1 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.907 * [taylor]: Taking taylor expansion of 1/2 in y 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.908 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.908 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.908 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.908 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.909 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.909 * [taylor]: Taking taylor expansion of 1/2 in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.910 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of 1 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of 1/2 in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of 1 in y 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of 1/2 in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.914 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.914 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.914 * [taylor]: Taking taylor expansion of x in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [taylor]: Taking taylor expansion of 1 in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.916 * [taylor]: Taking taylor expansion of x in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of 1 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of 1 in y 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.920 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.920 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 1 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.922 * [taylor]: Taking taylor expansion of x in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of 1 in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of 1 in y 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.926 * * * [progress]: simplifying candidates 0.927 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.932 * * [simplify]: iteration 0 : 92 enodes (cost 1982 ) 0.945 * * [simplify]: iteration 1 : 196 enodes (cost 1406 ) 0.984 * * [simplify]: iteration 2 : 777 enodes (cost 1180 ) 1.196 * * [simplify]: iteration 3 : 2356 enodes (cost 1152 ) 1.734 * * [simplify]: iteration done : 5001 enodes (cost 1138 ) 1.734 * [simplify]: Simplified to: (log (sqrt (+ (pow x 2) (pow y 2)))) (exp (sqrt (+ (pow y 2) (pow x 2)))) (* (cbrt (sqrt (+ (pow x 2) (pow y 2)))) (cbrt (sqrt (+ (pow x 2) (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (pow y 2)))) (pow (sqrt (+ (pow y 2) (pow x 2))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow x 2) (pow y 2)))) (sqrt (sqrt (+ (pow x 2) (pow y 2)))) 1 (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (pow x 4) (* (* y y) (- (* y y) (* x x))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (pow x 2) (pow y 2)))) (sqrt (sqrt (+ (pow x 2) (pow y 2)))) (log (sqrt (+ (pow x 2) (pow y 2)))) (exp (sqrt (+ (pow y 2) (pow x 2)))) (* (cbrt (sqrt (+ (pow x 2) (pow y 2)))) (cbrt (sqrt (+ (pow x 2) (pow y 2))))) (cbrt (sqrt (+ (pow x 2) (pow y 2)))) (pow (sqrt (+ (pow y 2) (pow x 2))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow x 2) (pow y 2)))) (sqrt (sqrt (+ (pow x 2) (pow y 2)))) 1 (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (pow x 4) (* (* y y) (- (* y y) (* x x))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (pow x 2) (pow y 2)))) (sqrt (sqrt (+ (pow x 2) (pow y 2)))) 1 1 2 1 1 (pow (sqrt (+ (pow x 2) (pow y 2))) 4) (+ (pow x 2) (pow y 2)) (pow (sqrt (+ (pow x 2) (pow y 2))) 4) 2 (log (+ (pow x 2) (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (* (cbrt (+ (pow y 2) (pow x 2))) (cbrt (+ (pow y 2) (pow x 2)))) (cbrt (+ (pow y 2) (pow x 2))) (pow (+ (pow x 2) (pow y 2)) 3) (pow (sqrt (+ (pow x 2) (pow y 2))) 4) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (* (sqrt (- (pow x 4) (pow y 4))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))))) (* (sqrt (- (pow x 4) (pow y 4))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))))) (- (pow x 4) (pow y 4)) (- (pow x 2) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (pow x 2) (pow y 2)))) (cbrt (sqrt (+ (pow x 2) (pow y 2))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) 1 (+ (pow x 2) (pow y 2)) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) 1 (+ (pow x 2) (pow y 2)) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) 1 2 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4)) (* (sqrt (+ (* x x) (* y y))) (fabs (cbrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (pow x 2) (pow y 2))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (pow x 2) (pow y 2))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (pow y 2) (pow x 2)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (pow x 2) (pow y 2)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (pow x 2) (pow y 2)) (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (- (pow x 4) (pow y 4))) (sqrt (+ (pow y 2) (pow x 2)))) (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 6) (pow x 6)))) (* (sqrt (- (pow x 4) (pow y 4))) (sqrt (+ (pow y 2) (pow x 2)))) (exp (+ (* x x) (* y y))) (log (+ (pow x 2) (pow y 2))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (pow x 2) (* y y)) y x (neg x) y x (neg x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.735 * * * [progress]: adding candidates to table 1.865 * [progress]: [Phase 3 of 3] Extracting. 1.866 * * [regime]: Finding splitpoints for: (# #) 1.866 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 1.866 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.896 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.928 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.960 * * * * [regimes]: Trying to branch on y from (# #) 1.993 * * * * [regimes]: Trying to branch on x from (# #) 2.025 * * * [regime]: Found split indices: #