1.477 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (- x (* y y)) 0.015 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.015 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.016 * * [simplify]: iteration 2 : 10 enodes (cost 5 ) 0.017 * * [simplify]: iteration done : 10 enodes (cost 5 ) 0.017 * [simplify]: Simplified to: (- x (* y y)) 0.018 * * [progress]: iteration 1 / 4 0.018 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of 1 in y 0.028 * [taylor]: Taking taylor expansion of 0 in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of -1 in y 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.064 * * * [progress]: simplifying candidates 0.064 * [simplify]: Simplifying using # : (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (- (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.065 * * [simplify]: iteration 0 : 32 enodes (cost 140 ) 0.072 * * [simplify]: iteration 1 : 77 enodes (cost 135 ) 0.097 * * [simplify]: iteration 2 : 209 enodes (cost 119 ) 0.142 * * [simplify]: iteration 3 : 416 enodes (cost 117 ) 0.248 * * [simplify]: iteration 4 : 913 enodes (cost 117 ) 0.769 * * [simplify]: iteration 5 : 2734 enodes (cost 117 ) 1.837 * * [simplify]: iteration done : 5000 enodes (cost 117 ) 1.837 * [simplify]: Simplified to: (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow y 6)) (+ (* (+ x (* y y)) x) (pow y 4)) (- (* y y)) (- (* x x) (pow y 4)) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (* y y)) (- x (* y y)) (- x (* y y)) 1.837 * * * [progress]: adding candidates to table 1.864 * * [progress]: iteration 2 / 4 1.865 * * * [progress]: picking best candidate 1.867 * * * * [pick]: Picked # 1.867 * * * [progress]: localizing error 1.873 * * * [progress]: generating rewritten candidates 1.873 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.906 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.912 * * * [progress]: generating series expansions 1.912 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.912 * [approximate]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in (x y) around 0 1.913 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in y 1.913 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 1.913 * [taylor]: Taking taylor expansion of (sqrt x) in y 1.913 * [taylor]: Taking taylor expansion of x in y 1.913 * [taylor]: Taking taylor expansion of y in y 1.913 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 1.913 * [taylor]: Taking taylor expansion of y in y 1.913 * [taylor]: Taking taylor expansion of (sqrt x) in y 1.913 * [taylor]: Taking taylor expansion of x in y 1.913 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 1.913 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 1.913 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.915 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 1.915 * [taylor]: Taking taylor expansion of y in x 1.915 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 1.916 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 1.916 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.917 * [taylor]: Taking taylor expansion of y in x 1.917 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 1.917 * [taylor]: Taking taylor expansion of y in x 1.917 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.919 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.919 * [taylor]: Taking taylor expansion of -1 in y 1.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.919 * [taylor]: Taking taylor expansion of y in y 1.920 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 1.921 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 1.921 * [taylor]: Taking taylor expansion of +nan.0 in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.928 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 y) (- +nan.0))) in y 1.928 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (- +nan.0)) in y 1.928 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 1.928 * [taylor]: Taking taylor expansion of +nan.0 in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.928 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.928 * [taylor]: Taking taylor expansion of +nan.0 in y 1.933 * [approximate]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in (x y) around 0 1.933 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 1.933 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 1.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.933 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.933 * [taylor]: Taking taylor expansion of x in y 1.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.933 * [taylor]: Taking taylor expansion of y in y 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 1.934 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.934 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.934 * [taylor]: Taking taylor expansion of x in y 1.934 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 1.934 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 1.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.934 * [taylor]: Taking taylor expansion of x in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 1.937 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 1.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.939 * [taylor]: Taking taylor expansion of y in x 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.939 * [taylor]: Taking taylor expansion of y in x 1.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of 0 in y 1.942 * [taylor]: Taking taylor expansion of 0 in y 1.949 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 1.949 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 1.949 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.949 * [taylor]: Taking taylor expansion of +nan.0 in y 1.949 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.949 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.950 * [taylor]: Taking taylor expansion of y in y 1.950 * [taylor]: Taking taylor expansion of +nan.0 in y 1.959 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.959 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.959 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.959 * [taylor]: Taking taylor expansion of +nan.0 in y 1.959 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.959 * [taylor]: Taking taylor expansion of y in y 1.960 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.960 * [taylor]: Taking taylor expansion of +nan.0 in y 1.973 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 1.973 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 1.973 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.973 * [taylor]: Taking taylor expansion of +nan.0 in y 1.973 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.973 * [taylor]: Taking taylor expansion of y in y 1.973 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.973 * [taylor]: Taking taylor expansion of +nan.0 in y 1.976 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in (x y) around 0 1.976 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 1.976 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.977 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.977 * [taylor]: Taking taylor expansion of -1 in y 1.977 * [taylor]: Taking taylor expansion of x in y 1.977 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 1.977 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.977 * [taylor]: Taking taylor expansion of -1 in y 1.977 * [taylor]: Taking taylor expansion of x in y 1.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 1.977 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.977 * [taylor]: Taking taylor expansion of y in x 1.977 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.977 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.977 * [taylor]: Taking taylor expansion of -1 in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 1.982 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.982 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.982 * [taylor]: Taking taylor expansion of -1 in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.984 * [taylor]: Taking taylor expansion of y in x 1.984 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.984 * [taylor]: Taking taylor expansion of y in x 1.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.984 * [taylor]: Taking taylor expansion of -1 in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.986 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 1.986 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.986 * [taylor]: Taking taylor expansion of -1 in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.987 * [taylor]: Taking taylor expansion of y in x 1.988 * [taylor]: Taking taylor expansion of 0 in y 1.989 * [taylor]: Taking taylor expansion of 0 in y 1.996 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 1.996 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 1.996 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 1.996 * [taylor]: Taking taylor expansion of +nan.0 in y 1.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.996 * [taylor]: Taking taylor expansion of y in y 1.996 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.996 * [taylor]: Taking taylor expansion of y in y 1.997 * [taylor]: Taking taylor expansion of +nan.0 in y 2.006 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 2.007 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 2.007 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 2.007 * [taylor]: Taking taylor expansion of +nan.0 in y 2.007 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.007 * [taylor]: Taking taylor expansion of +nan.0 in y 2.020 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 2.020 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 2.020 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 2.020 * [taylor]: Taking taylor expansion of +nan.0 in y 2.020 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.020 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.020 * [taylor]: Taking taylor expansion of +nan.0 in y 2.023 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.023 * [approximate]: Taking taylor expansion of (- (sqrt x) y) in (x y) around 0 2.023 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 2.023 * [taylor]: Taking taylor expansion of (sqrt x) in y 2.023 * [taylor]: Taking taylor expansion of x in y 2.023 * [taylor]: Taking taylor expansion of y in y 2.023 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 2.023 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of y in x 2.024 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 2.024 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [taylor]: Taking taylor expansion of (- y) in y 2.026 * [taylor]: Taking taylor expansion of y in y 2.027 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.027 * [taylor]: Taking taylor expansion of +nan.0 in y 2.030 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.030 * [taylor]: Taking taylor expansion of +nan.0 in y 2.031 * [approximate]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in (x y) around 0 2.031 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 2.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.031 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.031 * [taylor]: Taking taylor expansion of x in y 2.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.032 * [taylor]: Taking taylor expansion of y in y 2.032 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 2.032 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.033 * [taylor]: Taking taylor expansion of y in x 2.033 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 2.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.035 * [taylor]: Taking taylor expansion of y in x 2.035 * [taylor]: Taking taylor expansion of 0 in y 2.035 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (- +nan.0))) in y 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 2.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.035 * [taylor]: Taking taylor expansion of y in y 2.036 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.036 * [taylor]: Taking taylor expansion of +nan.0 in y 2.039 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.039 * [taylor]: Taking taylor expansion of +nan.0 in y 2.045 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.045 * [taylor]: Taking taylor expansion of +nan.0 in y 2.046 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in (x y) around 0 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 2.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.046 * [taylor]: Taking taylor expansion of y in y 2.047 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 2.047 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.047 * [taylor]: Taking taylor expansion of -1 in y 2.047 * [taylor]: Taking taylor expansion of x in y 2.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 2.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.047 * [taylor]: Taking taylor expansion of y in x 2.047 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.047 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.047 * [taylor]: Taking taylor expansion of -1 in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.048 * [taylor]: Taking taylor expansion of y in x 2.048 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.048 * [taylor]: Taking taylor expansion of -1 in x 2.048 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of 0 in y 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 2.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.051 * [taylor]: Taking taylor expansion of y in y 2.051 * [taylor]: Taking taylor expansion of +nan.0 in y 2.054 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.054 * [taylor]: Taking taylor expansion of +nan.0 in y 2.059 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.059 * [taylor]: Taking taylor expansion of +nan.0 in y 2.061 * * * [progress]: simplifying candidates 2.062 * [simplify]: Simplifying using # : (* (+ (sqrt x) y) (- (sqrt x) y)) (+ (log (+ (sqrt x) y)) (log (- (sqrt x) y))) (log (* (+ (sqrt x) y) (- (sqrt x) y))) (exp (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (+ (sqrt x) y)) (+ (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y))) (* (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y)))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (pow (sqrt x) 3) (pow y 3))) (* (- (sqrt x) y) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (- (sqrt x) y) (+ (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) (sqrt x)) (* (+ (sqrt x) y) (- y)) (* (+ (sqrt x) y) (sqrt x)) (* (+ (sqrt x) y) (- y)) (* (sqrt x) (+ (sqrt x) y)) (* (- y) (+ (sqrt x) y)) (* (sqrt x) (+ (sqrt x) y)) (* (- y) (+ (sqrt x) y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) 1) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) 1) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (sqrt x) y) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (sqrt x) y)) (/ (exp (sqrt x)) (exp y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow (sqrt x) 3) (pow y 3)) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y))) (- y) (- (* (sqrt x) (sqrt x)) (* y y)) (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (- y) (- (+ (* +nan.0 (pow x 2)) (- (pow y 2) (* +nan.0 (* x y))))) (- (+ (pow y 2) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (pow y 2) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (pow x 2)) (- y (* +nan.0 x)))) (- (+ +nan.0 (- y (* +nan.0 (/ 1 x))))) (- (+ +nan.0 (- y (* +nan.0 (/ 1 x))))) 2.065 * * [simplify]: iteration 0 : 99 enodes (cost 730 ) 2.088 * * [simplify]: iteration 1 : 270 enodes (cost 598 ) 2.162 * * [simplify]: iteration 2 : 956 enodes (cost 548 ) 3.185 * * [simplify]: iteration 3 : 4208 enodes (cost 542 ) 4.334 * * [simplify]: iteration done : 5000 enodes (cost 538 ) 4.335 * [simplify]: Simplified to: (- x (* y y)) (log (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (pow (- x (* y y)) 3) (* (cbrt (- x (pow y 2))) (cbrt (- x (pow y 2)))) (cbrt (- x (pow y 2))) (pow (- x (* y y)) 3) (sqrt (- x (pow y 2))) (sqrt (- x (pow y 2))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* y (- y (sqrt x))) x) (+ (* y (+ (sqrt x) y)) x)) (* (- x (* y y)) (+ (pow (sqrt x) 3) (pow y 3))) (* (+ (* y (- y (sqrt x))) x) (+ (sqrt x) y)) (* (- x (pow y 2)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* y (+ (sqrt x) y)) x) (- (sqrt x) y)) (* (- x (* y y)) (- x (* y y))) (- x (* y y)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (+ x (* (sqrt x) y)) (* (+ (sqrt x) y) (- y)) (+ x (* (sqrt x) y)) (* (+ (sqrt x) y) (- y)) (+ x (* (sqrt x) y)) (* (+ (sqrt x) y) (- y)) (+ x (* (sqrt x) y)) (* (+ (sqrt x) y) (- y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (+ (sqrt x) y) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (+ (sqrt x) y) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (- x (* y y)) (- x (* y y)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (- x (pow y 2)) (+ (sqrt x) y)) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- x (* y y)) (- (sqrt x) y)) (exp (- (sqrt x) y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (pow (- (sqrt x) y) 3) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow (sqrt x) 3) (pow y 3)) (+ (* y (+ (sqrt x) y)) x) (- y) (- x (* y y)) (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (- y) (- (* (- y x) (* +nan.0 x)) (* y y)) (- (* +nan.0 (- (/ y x) y)) (* y y)) (- (* +nan.0 (- (/ y x) y)) (* y y)) (- (* x (- +nan.0 (* +nan.0 x))) y) (- (- (/ +nan.0 x) y) +nan.0) (- (- (/ +nan.0 x) y) +nan.0) 4.335 * * * [progress]: adding candidates to table 4.452 * [progress]: [Phase 3 of 3] Extracting. 4.452 * * [regime]: Finding splitpoints for: (# #) 4.452 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 4.452 * * * * [regimes]: Trying to branch on (* y y) from (# #) 4.463 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 4.477 * * * * [regimes]: Trying to branch on y from (# #) 4.488 * * * * [regimes]: Trying to branch on x from (# #) 4.499 * * * [regime]: Found split indices: #