30.499 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.015 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.016 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.016 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.018 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.027 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.027 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of 0 in y 0.030 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.030 * [taylor]: Taking taylor expansion of 1/2 in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of 1/2 in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of 1/2 in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.062 * * * [progress]: simplifying candidates 0.065 * [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)))) y x (* -1 x) 0.066 * * [simplify]: iteration 0 : 38 enodes (cost 213 ) 0.073 * * [simplify]: iteration 1 : 91 enodes (cost 186 ) 0.089 * * [simplify]: iteration 2 : 210 enodes (cost 170 ) 0.134 * * [simplify]: iteration 3 : 502 enodes (cost 164 ) 0.260 * * [simplify]: iteration 4 : 1114 enodes (cost 164 ) 0.651 * * [simplify]: iteration 5 : 3066 enodes (cost 164 ) 1.884 * * [simplify]: iteration done : 5000 enodes (cost 164 ) 1.884 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (pow y 4) (* (* x x) (- (* x x) (* y y))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (- x) 1.884 * * * [progress]: adding candidates to table 1.927 * * [progress]: iteration 2 / 4 1.928 * * * [progress]: picking best candidate 1.932 * * * * [pick]: Picked # 1.932 * * * [progress]: localizing error 1.940 * * * [progress]: generating rewritten candidates 1.941 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.944 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.950 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.975 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.984 * * * [progress]: generating series expansions 1.984 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.984 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.984 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.984 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.984 * [taylor]: Taking taylor expansion of x in y 1.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.984 * [taylor]: Taking taylor expansion of y in y 1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.985 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.986 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.986 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.986 * [taylor]: Taking taylor expansion of y in x 1.986 * [taylor]: Taking taylor expansion of y in y 1.986 * [taylor]: Taking taylor expansion of 0 in y 1.988 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.988 * [taylor]: Taking taylor expansion of 1/2 in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.990 * [taylor]: Taking taylor expansion of 0 in y 1.990 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.991 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.991 * [taylor]: Taking taylor expansion of x in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.994 * [taylor]: Taking taylor expansion of y in x 1.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.996 * [taylor]: Taking taylor expansion of y in x 1.998 * [taylor]: Taking taylor expansion of 1 in y 1.998 * [taylor]: Taking taylor expansion of 0 in y 2.000 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.000 * [taylor]: Taking taylor expansion of 1/2 in y 2.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.000 * [taylor]: Taking taylor expansion of y in y 2.004 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.005 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.005 * [taylor]: Taking taylor expansion of x in y 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.008 * [taylor]: Taking taylor expansion of y in x 2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.010 * [taylor]: Taking taylor expansion of x in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.011 * [taylor]: Taking taylor expansion of y in x 2.013 * [taylor]: Taking taylor expansion of 1 in y 2.013 * [taylor]: Taking taylor expansion of 0 in y 2.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.015 * [taylor]: Taking taylor expansion of 1/2 in y 2.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.018 * [taylor]: Taking taylor expansion of 0 in y 2.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.020 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.020 * [taylor]: Taking taylor expansion of x in y 2.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.020 * [taylor]: Taking taylor expansion of y in y 2.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.021 * [taylor]: Taking taylor expansion of y in x 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.021 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.021 * [taylor]: Taking taylor expansion of y in x 2.022 * [taylor]: Taking taylor expansion of y in y 2.022 * [taylor]: Taking taylor expansion of 0 in y 2.023 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.023 * [taylor]: Taking taylor expansion of 1/2 in y 2.023 * [taylor]: Taking taylor expansion of y in y 2.025 * [taylor]: Taking taylor expansion of 0 in y 2.026 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.026 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.026 * [taylor]: Taking taylor expansion of x in y 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.026 * [taylor]: Taking taylor expansion of y in y 2.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.032 * [taylor]: Taking taylor expansion of y in x 2.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.035 * [taylor]: Taking taylor expansion of y in x 2.037 * [taylor]: Taking taylor expansion of 1 in y 2.037 * [taylor]: Taking taylor expansion of 0 in y 2.040 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.040 * [taylor]: Taking taylor expansion of 1/2 in y 2.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.040 * [taylor]: Taking taylor expansion of y in y 2.043 * [taylor]: Taking taylor expansion of 0 in y 2.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.045 * [taylor]: Taking taylor expansion of x in y 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.045 * [taylor]: Taking taylor expansion of y in y 2.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.048 * [taylor]: Taking taylor expansion of y in x 2.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.050 * [taylor]: Taking taylor expansion of y in x 2.053 * [taylor]: Taking taylor expansion of 1 in y 2.053 * [taylor]: Taking taylor expansion of 0 in y 2.054 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.055 * [taylor]: Taking taylor expansion of 1/2 in y 2.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.055 * [taylor]: Taking taylor expansion of y in y 2.058 * [taylor]: Taking taylor expansion of 0 in y 2.060 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.060 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 2.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 2.060 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.060 * [taylor]: Taking taylor expansion of x in y 2.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.060 * [taylor]: Taking taylor expansion of y in y 2.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.061 * [taylor]: Taking taylor expansion of y in x 2.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 2.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.061 * [taylor]: Taking taylor expansion of y in x 2.062 * [taylor]: Taking taylor expansion of y in y 2.062 * [taylor]: Taking taylor expansion of 0 in y 2.063 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.063 * [taylor]: Taking taylor expansion of 1/2 in y 2.063 * [taylor]: Taking taylor expansion of y in y 2.065 * [taylor]: Taking taylor expansion of 0 in y 2.066 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.066 * [taylor]: Taking taylor expansion of x in y 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.066 * [taylor]: Taking taylor expansion of y in y 2.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.069 * [taylor]: Taking taylor expansion of y in x 2.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.072 * [taylor]: Taking taylor expansion of y in x 2.074 * [taylor]: Taking taylor expansion of 1 in y 2.074 * [taylor]: Taking taylor expansion of 0 in y 2.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.076 * [taylor]: Taking taylor expansion of 1/2 in y 2.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.076 * [taylor]: Taking taylor expansion of y in y 2.079 * [taylor]: Taking taylor expansion of 0 in y 2.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.081 * [taylor]: Taking taylor expansion of x in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.081 * [taylor]: Taking taylor expansion of y in y 2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.084 * [taylor]: Taking taylor expansion of y in x 2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.086 * [taylor]: Taking taylor expansion of y in x 2.088 * [taylor]: Taking taylor expansion of 1 in y 2.089 * [taylor]: Taking taylor expansion of 0 in y 2.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 2.090 * [taylor]: Taking taylor expansion of 1/2 in y 2.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.091 * [taylor]: Taking taylor expansion of y in y 2.094 * [taylor]: Taking taylor expansion of 0 in y 2.095 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.095 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in (x y) around 0 2.095 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 2.095 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 2.095 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 2.095 * [taylor]: Taking taylor expansion of 1/4 in y 2.095 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 2.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.095 * [taylor]: Taking taylor expansion of x in y 2.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.095 * [taylor]: Taking taylor expansion of y in y 2.095 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 2.096 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 2.096 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 2.096 * [taylor]: Taking taylor expansion of 1/4 in x 2.096 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 2.096 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 2.096 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 2.096 * [taylor]: Taking taylor expansion of 1/4 in x 2.096 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 2.096 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.096 * [taylor]: Taking taylor expansion of y in x 2.096 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y 2.096 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y 2.096 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y 2.096 * [taylor]: Taking taylor expansion of 1/4 in y 2.097 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 2.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.097 * [taylor]: Taking taylor expansion of y in y 2.099 * [taylor]: Taking taylor expansion of 0 in y 2.105 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 2.105 * [taylor]: Taking taylor expansion of 1/4 in y 2.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.105 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.105 * [taylor]: Taking taylor expansion of y in y 2.122 * [taylor]: Taking taylor expansion of 0 in y 2.129 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 2.129 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 2.129 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.129 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.129 * [taylor]: Taking taylor expansion of 1/4 in y 2.129 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.129 * [taylor]: Taking taylor expansion of x in y 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.129 * [taylor]: Taking taylor expansion of y in y 2.130 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 2.130 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.130 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.130 * [taylor]: Taking taylor expansion of 1/4 in x 2.130 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.131 * [taylor]: Taking taylor expansion of y in x 2.132 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 2.132 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.132 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.132 * [taylor]: Taking taylor expansion of 1/4 in x 2.132 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.133 * [taylor]: Taking taylor expansion of y in x 2.134 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 2.134 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 2.134 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 2.134 * [taylor]: Taking taylor expansion of -1/2 in y 2.134 * [taylor]: Taking taylor expansion of (log x) in y 2.134 * [taylor]: Taking taylor expansion of x in y 2.137 * [taylor]: Taking taylor expansion of 0 in y 2.142 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 2.142 * [taylor]: Taking taylor expansion of 1/4 in y 2.142 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 2.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.142 * [taylor]: Taking taylor expansion of x in y 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.142 * [taylor]: Taking taylor expansion of y in y 2.155 * [taylor]: Taking taylor expansion of 0 in y 2.155 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 2.155 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 2.155 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 2.155 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.155 * [taylor]: Taking taylor expansion of 1/4 in y 2.155 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.155 * [taylor]: Taking taylor expansion of x in y 2.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.156 * [taylor]: Taking taylor expansion of y in y 2.157 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 2.157 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.157 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.157 * [taylor]: Taking taylor expansion of 1/4 in x 2.157 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.157 * [taylor]: Taking taylor expansion of x in x 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.158 * [taylor]: Taking taylor expansion of y in x 2.159 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 2.159 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 2.159 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.159 * [taylor]: Taking taylor expansion of 1/4 in x 2.159 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.159 * [taylor]: Taking taylor expansion of y in x 2.160 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 2.160 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 2.160 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 2.160 * [taylor]: Taking taylor expansion of -1/2 in y 2.160 * [taylor]: Taking taylor expansion of (log x) in y 2.160 * [taylor]: Taking taylor expansion of x in y 2.163 * [taylor]: Taking taylor expansion of 0 in y 2.168 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 2.168 * [taylor]: Taking taylor expansion of 1/4 in y 2.168 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 2.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.168 * [taylor]: Taking taylor expansion of x in y 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.168 * [taylor]: Taking taylor expansion of y in y 2.181 * [taylor]: Taking taylor expansion of 0 in y 2.181 * * * [progress]: simplifying candidates 2.183 * [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 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (+ (* 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 (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y)))))) (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (* (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)))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))) (cbrt (* (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* 1 1) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (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 (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 (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 (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y))))) (exp (sqrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (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 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt 1) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* x x) (* y y)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (* (pow x 2) y))))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 2.189 * * [simplify]: iteration 0 : 127 enodes (cost 2962 ) 2.219 * * [simplify]: iteration 1 : 252 enodes (cost 1890 ) 2.297 * * [simplify]: iteration 2 : 911 enodes (cost 1671 ) 3.099 * * [simplify]: iteration 3 : 4560 enodes (cost 1616 ) 6.947 * * [simplify]: iteration done : 5000 enodes (cost 1616 ) 6.948 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (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)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* y y) (* x x)) (sqrt (+ (* x x) (* y y))) (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* y y) (* x x)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (+ (* y y) (* x x)) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (pow y 6) (pow x 6))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))) (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (* (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))))) (sqrt (- (pow x 4) (pow y 4))) (sqrt (- (* x x) (* y y))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (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)))) 1 (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 (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 (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)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 2 1/2 1 1/2 (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4)) (* (sqrt (sqrt (+ (* y y) (pow x 2)))) (fabs (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* y y) (pow x 2)))) (sqrt (fabs (cbrt (+ (* x x) (* y y)))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (+ (* x x) (* y y))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (pow x 4) (pow y 4))))) (log (sqrt (sqrt (+ (* x x) (* y y))))) (exp (sqrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (fabs (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) (sqrt (fabs (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 1 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (pow y 6) (pow x 6)))) (sqrt (sqrt (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))) (sqrt (sqrt (- (pow x 4) (pow y 4)))) (sqrt (sqrt (- (* x x) (* y y)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) y x (- x) y x (- x) y x (- x) (- (sqrt y) (* +nan.0 (* x (- x (* x y))))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 6.949 * * * [progress]: adding candidates to table 7.183 * * [progress]: iteration 3 / 4 7.183 * * * [progress]: picking best candidate 7.188 * * * * [pick]: Picked # 7.188 * * * [progress]: localizing error 7.199 * * * [progress]: generating rewritten candidates 7.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 7.203 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 7.208 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.270 * * * [progress]: generating series expansions 7.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 7.270 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 7.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 7.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.270 * [taylor]: Taking taylor expansion of x in y 7.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.270 * [taylor]: Taking taylor expansion of y in y 7.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.271 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.271 * [taylor]: Taking taylor expansion of x in x 7.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.271 * [taylor]: Taking taylor expansion of y in x 7.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.272 * [taylor]: Taking taylor expansion of x in x 7.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.272 * [taylor]: Taking taylor expansion of y in x 7.272 * [taylor]: Taking taylor expansion of y in y 7.272 * [taylor]: Taking taylor expansion of 0 in y 7.277 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.277 * [taylor]: Taking taylor expansion of 1/2 in y 7.277 * [taylor]: Taking taylor expansion of y in y 7.279 * [taylor]: Taking taylor expansion of 0 in y 7.280 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.280 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.280 * [taylor]: Taking taylor expansion of x in y 7.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.280 * [taylor]: Taking taylor expansion of y in y 7.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.282 * [taylor]: Taking taylor expansion of x in x 7.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.283 * [taylor]: Taking taylor expansion of y in x 7.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.285 * [taylor]: Taking taylor expansion of x in x 7.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.285 * [taylor]: Taking taylor expansion of y in x 7.288 * [taylor]: Taking taylor expansion of 1 in y 7.288 * [taylor]: Taking taylor expansion of 0 in y 7.290 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.290 * [taylor]: Taking taylor expansion of 1/2 in y 7.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.290 * [taylor]: Taking taylor expansion of y in y 7.293 * [taylor]: Taking taylor expansion of 0 in y 7.294 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.294 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.294 * [taylor]: Taking taylor expansion of x in y 7.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.294 * [taylor]: Taking taylor expansion of y in y 7.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.297 * [taylor]: Taking taylor expansion of x in x 7.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.297 * [taylor]: Taking taylor expansion of y in x 7.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.299 * [taylor]: Taking taylor expansion of x in x 7.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.300 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.300 * [taylor]: Taking taylor expansion of y in x 7.302 * [taylor]: Taking taylor expansion of 1 in y 7.302 * [taylor]: Taking taylor expansion of 0 in y 7.304 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.304 * [taylor]: Taking taylor expansion of 1/2 in y 7.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.304 * [taylor]: Taking taylor expansion of y in y 7.307 * [taylor]: Taking taylor expansion of 0 in y 7.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 7.308 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 7.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 7.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.308 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.308 * [taylor]: Taking taylor expansion of x in y 7.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.308 * [taylor]: Taking taylor expansion of y in y 7.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.309 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.309 * [taylor]: Taking taylor expansion of x in x 7.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.309 * [taylor]: Taking taylor expansion of y in x 7.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.310 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.310 * [taylor]: Taking taylor expansion of x in x 7.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.310 * [taylor]: Taking taylor expansion of y in x 7.310 * [taylor]: Taking taylor expansion of y in y 7.310 * [taylor]: Taking taylor expansion of 0 in y 7.311 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.312 * [taylor]: Taking taylor expansion of 1/2 in y 7.312 * [taylor]: Taking taylor expansion of y in y 7.314 * [taylor]: Taking taylor expansion of 0 in y 7.314 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.315 * [taylor]: Taking taylor expansion of x in y 7.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.315 * [taylor]: Taking taylor expansion of y in y 7.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.317 * [taylor]: Taking taylor expansion of x in x 7.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.318 * [taylor]: Taking taylor expansion of y in x 7.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.320 * [taylor]: Taking taylor expansion of x in x 7.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.320 * [taylor]: Taking taylor expansion of y in x 7.322 * [taylor]: Taking taylor expansion of 1 in y 7.322 * [taylor]: Taking taylor expansion of 0 in y 7.324 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.324 * [taylor]: Taking taylor expansion of 1/2 in y 7.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.324 * [taylor]: Taking taylor expansion of y in y 7.327 * [taylor]: Taking taylor expansion of 0 in y 7.329 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.329 * [taylor]: Taking taylor expansion of x in y 7.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.329 * [taylor]: Taking taylor expansion of y in y 7.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.331 * [taylor]: Taking taylor expansion of x in x 7.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.332 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.332 * [taylor]: Taking taylor expansion of y in x 7.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.334 * [taylor]: Taking taylor expansion of x in x 7.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.334 * [taylor]: Taking taylor expansion of y in x 7.336 * [taylor]: Taking taylor expansion of 1 in y 7.336 * [taylor]: Taking taylor expansion of 0 in y 7.338 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.338 * [taylor]: Taking taylor expansion of 1/2 in y 7.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.338 * [taylor]: Taking taylor expansion of y in y 7.341 * [taylor]: Taking taylor expansion of 0 in y 7.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.343 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in (x y) around 0 7.343 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in y 7.343 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/8) in y 7.343 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow x 2) (pow y 2))))) in y 7.343 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow x 2) (pow y 2)))) in y 7.343 * [taylor]: Taking taylor expansion of 1/8 in y 7.343 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 7.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.343 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.343 * [taylor]: Taking taylor expansion of x in y 7.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.343 * [taylor]: Taking taylor expansion of y in y 7.343 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in x 7.343 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/8) in x 7.343 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow x 2) (pow y 2))))) in x 7.343 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow x 2) (pow y 2)))) in x 7.343 * [taylor]: Taking taylor expansion of 1/8 in x 7.343 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 7.343 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.343 * [taylor]: Taking taylor expansion of x in x 7.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.343 * [taylor]: Taking taylor expansion of y in x 7.344 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/8) 3) in x 7.344 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/8) in x 7.344 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow x 2) (pow y 2))))) in x 7.344 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow x 2) (pow y 2)))) in x 7.344 * [taylor]: Taking taylor expansion of 1/8 in x 7.344 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 7.344 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.344 * [taylor]: Taking taylor expansion of x in x 7.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.344 * [taylor]: Taking taylor expansion of y in x 7.344 * [taylor]: Taking taylor expansion of (pow (pow y 3) 1/4) in y 7.344 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 3)))) in y 7.344 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 3))) in y 7.344 * [taylor]: Taking taylor expansion of 1/4 in y 7.344 * [taylor]: Taking taylor expansion of (log (pow y 3)) in y 7.345 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.345 * [taylor]: Taking taylor expansion of y in y 7.348 * [taylor]: Taking taylor expansion of 0 in y 7.355 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow y 5)) 1/4)) in y 7.355 * [taylor]: Taking taylor expansion of 3/8 in y 7.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/4) in y 7.355 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 5))))) in y 7.355 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 5)))) in y 7.355 * [taylor]: Taking taylor expansion of 1/4 in y 7.355 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y 7.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 7.355 * [taylor]: Taking taylor expansion of (pow y 5) in y 7.355 * [taylor]: Taking taylor expansion of y in y 7.369 * [taylor]: Taking taylor expansion of 0 in y 7.378 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in (x y) around 0 7.379 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in y 7.379 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in y 7.379 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 7.379 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 7.379 * [taylor]: Taking taylor expansion of 1/8 in y 7.379 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.379 * [taylor]: Taking taylor expansion of x in y 7.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.379 * [taylor]: Taking taylor expansion of y in y 7.380 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 7.380 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 7.380 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 7.381 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 7.381 * [taylor]: Taking taylor expansion of 1/8 in x 7.381 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.381 * [taylor]: Taking taylor expansion of x in x 7.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.381 * [taylor]: Taking taylor expansion of y in x 7.382 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 7.382 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 7.382 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 7.382 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 7.382 * [taylor]: Taking taylor expansion of 1/8 in x 7.382 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.382 * [taylor]: Taking taylor expansion of x in x 7.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.383 * [taylor]: Taking taylor expansion of y in x 7.384 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 7.384 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 7.384 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 7.384 * [taylor]: Taking taylor expansion of 1/4 in y 7.384 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 7.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 7.384 * [taylor]: Taking taylor expansion of (pow x 3) in y 7.384 * [taylor]: Taking taylor expansion of x in y 7.387 * [taylor]: Taking taylor expansion of 0 in y 7.394 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2)))) in y 7.394 * [taylor]: Taking taylor expansion of 3/8 in y 7.394 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2))) in y 7.394 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 7.394 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 7.394 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 7.394 * [taylor]: Taking taylor expansion of 1/4 in y 7.394 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 7.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 7.394 * [taylor]: Taking taylor expansion of (pow x 3) in y 7.394 * [taylor]: Taking taylor expansion of x in y 7.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.395 * [taylor]: Taking taylor expansion of y in y 7.413 * [taylor]: Taking taylor expansion of 0 in y 7.414 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in (x y) around 0 7.414 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in y 7.414 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in y 7.414 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 7.414 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 7.414 * [taylor]: Taking taylor expansion of 1/8 in y 7.414 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.414 * [taylor]: Taking taylor expansion of x in y 7.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.414 * [taylor]: Taking taylor expansion of y in y 7.416 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 7.416 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 7.416 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 7.416 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 7.416 * [taylor]: Taking taylor expansion of 1/8 in x 7.416 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.416 * [taylor]: Taking taylor expansion of x in x 7.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.416 * [taylor]: Taking taylor expansion of y in x 7.417 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) 3) in x 7.417 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/8) in x 7.417 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 7.417 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 7.417 * [taylor]: Taking taylor expansion of 1/8 in x 7.417 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.417 * [taylor]: Taking taylor expansion of x in x 7.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.418 * [taylor]: Taking taylor expansion of y in x 7.419 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 7.419 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 7.419 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 7.419 * [taylor]: Taking taylor expansion of 1/4 in y 7.419 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 7.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 7.419 * [taylor]: Taking taylor expansion of (pow x 3) in y 7.419 * [taylor]: Taking taylor expansion of x in y 7.423 * [taylor]: Taking taylor expansion of 0 in y 7.429 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2)))) in y 7.429 * [taylor]: Taking taylor expansion of 3/8 in y 7.429 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 3)) 1/4) (/ 1 (pow y 2))) in y 7.429 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 3)) 1/4) in y 7.429 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow x 3))))) in y 7.429 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow x 3)))) in y 7.429 * [taylor]: Taking taylor expansion of 1/4 in y 7.429 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 3))) in y 7.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 7.429 * [taylor]: Taking taylor expansion of (pow x 3) in y 7.429 * [taylor]: Taking taylor expansion of x in y 7.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.430 * [taylor]: Taking taylor expansion of y in y 7.451 * [taylor]: Taking taylor expansion of 0 in y 7.451 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.452 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 7.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 7.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 7.452 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.452 * [taylor]: Taking taylor expansion of x in y 7.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.452 * [taylor]: Taking taylor expansion of y in y 7.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.452 * [taylor]: Taking taylor expansion of x in x 7.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.452 * [taylor]: Taking taylor expansion of y in x 7.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 7.453 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 7.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.453 * [taylor]: Taking taylor expansion of x in x 7.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.453 * [taylor]: Taking taylor expansion of y in x 7.453 * [taylor]: Taking taylor expansion of y in y 7.453 * [taylor]: Taking taylor expansion of 0 in y 7.455 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.455 * [taylor]: Taking taylor expansion of 1/2 in y 7.455 * [taylor]: Taking taylor expansion of y in y 7.457 * [taylor]: Taking taylor expansion of 0 in y 7.458 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.458 * [taylor]: Taking taylor expansion of x in y 7.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.458 * [taylor]: Taking taylor expansion of y in y 7.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.461 * [taylor]: Taking taylor expansion of x in x 7.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.461 * [taylor]: Taking taylor expansion of y in x 7.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.463 * [taylor]: Taking taylor expansion of x in x 7.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.464 * [taylor]: Taking taylor expansion of y in x 7.466 * [taylor]: Taking taylor expansion of 1 in y 7.466 * [taylor]: Taking taylor expansion of 0 in y 7.467 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.467 * [taylor]: Taking taylor expansion of 1/2 in y 7.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.468 * [taylor]: Taking taylor expansion of y in y 7.471 * [taylor]: Taking taylor expansion of 0 in y 7.472 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 7.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 7.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 7.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.472 * [taylor]: Taking taylor expansion of x in y 7.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.472 * [taylor]: Taking taylor expansion of y in y 7.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.475 * [taylor]: Taking taylor expansion of x in x 7.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.475 * [taylor]: Taking taylor expansion of y in x 7.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 7.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 7.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.477 * [taylor]: Taking taylor expansion of x in x 7.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.478 * [taylor]: Taking taylor expansion of y in x 7.480 * [taylor]: Taking taylor expansion of 1 in y 7.480 * [taylor]: Taking taylor expansion of 0 in y 7.482 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 7.482 * [taylor]: Taking taylor expansion of 1/2 in y 7.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.482 * [taylor]: Taking taylor expansion of y in y 7.485 * [taylor]: Taking taylor expansion of 0 in y 7.486 * * * [progress]: simplifying candidates 7.489 * [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 (+ 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(+ (* x x) (* y y))))) 3)) (* (pow (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (pow (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (pow (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (pow (sqrt (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 4) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (+ (pow y 6) (pow x 6))))) 3)) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (sqrt (- (pow x 4) (* y (pow y 3)))))) 3)) (* (sqrt (sqrt (sqrt (+ (pow y 6) (pow x 6))))) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3)) (* (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (sqrt (sqrt (sqrt (- (pow x 4) (* y (pow y 3))))))) y x (- x) y x (- x) (+ (pow y 3/4) (* 3/8 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/4)))) (pow (pow x 3) 1/4) (pow (- (pow x 3)) 1/4) y x (- x) 9.183 * * * [progress]: adding candidates to table 9.738 * * [progress]: iteration 4 / 4 9.738 * * * [progress]: picking best candidate 9.741 * * * * [pick]: Picked # 9.741 * * * [progress]: localizing error 9.742 * * * [progress]: generating rewritten candidates 9.742 * * * [progress]: generating series expansions 9.742 * * * [progress]: simplifying candidates 9.742 * [simplify]: Simplifying using # : 9.743 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 9.743 * * [simplify]: iteration done : 0 enodes (cost 0 ) 9.743 * [simplify]: Simplified to: 9.743 * * * [progress]: adding candidates to table 9.743 * [progress]: [Phase 3 of 3] Extracting. 9.743 * * [regime]: Finding splitpoints for: (# # # # # #) 9.744 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 9.744 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 9.767 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 9.786 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 9.808 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 9.827 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 9.854 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 9.870 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 9.902 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # #) 9.919 * * * * [regimes]: Trying to branch on y from (# # # # # #) 9.961 * * * * [regimes]: Trying to branch on x from (# # # # # #) 9.992 * * * [regime]: Found split indices: #