8.651 * [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))) 0.016 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.017 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.027 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.031 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.034 * [taylor]: Taking taylor expansion of 1/2 in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of 1/2 in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of 1/2 in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.066 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.095 * * * [progress]: simplifying candidates 0.096 * [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)))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.099 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.102 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.110 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.142 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.144 * [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 (* 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)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.144 * * * [progress]: adding candidates to table 0.207 * * [progress]: iteration 2 / 4 0.207 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.226 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.230 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.265 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.269 * [taylor]: Taking taylor expansion of 1/2 in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of 1/2 in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of 1 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of 1/2 in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.301 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.303 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.305 * [taylor]: Taking taylor expansion of 1/2 in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of 1/2 in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of 1 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of 1/2 in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.340 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.343 * [taylor]: Taking taylor expansion of 1/2 in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of 1/2 in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of 1/2 in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.375 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.376 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in (x y) around 0 0.376 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 0.376 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 0.376 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 0.376 * [taylor]: Taking taylor expansion of 1/4 in y 0.376 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 0.376 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 0.376 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 0.376 * [taylor]: Taking taylor expansion of 1/4 in x 0.376 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.376 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 0.377 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 0.377 * [taylor]: Taking taylor expansion of 1/4 in x 0.377 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y 0.377 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of 1/4 in y 0.377 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 0.385 * [taylor]: Taking taylor expansion of 1/4 in y 0.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.407 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.407 * [taylor]: Taking taylor expansion of 1/4 in y 0.407 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 0.409 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.409 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.409 * [taylor]: Taking taylor expansion of 1/4 in x 0.409 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.415 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 0.416 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.416 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.416 * [taylor]: Taking taylor expansion of 1/4 in x 0.416 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.417 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.417 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.417 * [taylor]: Taking taylor expansion of -1/2 in y 0.417 * [taylor]: Taking taylor expansion of (log x) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 0.426 * [taylor]: Taking taylor expansion of 1/4 in y 0.426 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 0.439 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.439 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.439 * [taylor]: Taking taylor expansion of 1/4 in y 0.439 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 0.441 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.441 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.441 * [taylor]: Taking taylor expansion of 1/4 in x 0.441 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 0.442 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.442 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.442 * [taylor]: Taking taylor expansion of 1/4 in x 0.442 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.444 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.444 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.444 * [taylor]: Taking taylor expansion of -1/2 in y 0.444 * [taylor]: Taking taylor expansion of (log x) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 0.452 * [taylor]: Taking taylor expansion of 1/4 in y 0.452 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * * * [progress]: simplifying candidates 0.468 * [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 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3) (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 (+ (* 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)))))) (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 (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))))) 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 (* 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)))) 1/4 1/2 1/4 (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) 0.513 * * * [progress]: adding candidates to table 0.804 * * [progress]: iteration 3 / 4 0.804 * * * [progress]: picking best candidate 0.812 * * * * [pick]: Picked # 0.812 * * * [progress]: localizing error 0.826 * * * [progress]: generating rewritten candidates 0.826 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 0.830 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 0.833 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.837 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.875 * * * [progress]: generating series expansions 0.875 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 0.875 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.875 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.876 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.879 * [taylor]: Taking taylor expansion of 1/2 in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.890 * [taylor]: Taking taylor expansion of 1 in y 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.892 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.892 * [taylor]: Taking taylor expansion of 1/2 in y 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of 1 in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of 1/2 in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.915 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 0.915 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.915 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.918 * [taylor]: Taking taylor expansion of 1/2 in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.927 * [taylor]: Taking taylor expansion of y in x 0.929 * [taylor]: Taking taylor expansion of 1 in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of 1/2 in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of 1 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.945 * [taylor]: Taking taylor expansion of 1/2 in y 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.950 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.950 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.950 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.953 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.953 * [taylor]: Taking taylor expansion of 1/2 in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.956 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of 1 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of 1/2 in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.974 * [taylor]: Taking taylor expansion of y in x 0.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.976 * [taylor]: Taking taylor expansion of y in x 0.979 * [taylor]: Taking taylor expansion of 1 in y 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.985 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.985 * [taylor]: Taking taylor expansion of 1/2 in y 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.989 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.990 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in (x y) around 0 0.990 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 0.990 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 0.990 * [taylor]: Taking taylor expansion of 1/4 in y 0.990 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.990 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.990 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 0.990 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 0.990 * [taylor]: Taking taylor expansion of 1/4 in x 0.990 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.990 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 0.991 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 0.991 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 0.991 * [taylor]: Taking taylor expansion of 1/4 in x 0.991 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.991 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y 0.991 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y 0.991 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y 0.991 * [taylor]: Taking taylor expansion of 1/4 in y 0.991 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 0.999 * [taylor]: Taking taylor expansion of 1/4 in y 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.999 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.020 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 1.020 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.020 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.020 * [taylor]: Taking taylor expansion of 1/4 in y 1.020 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.022 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.022 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.022 * [taylor]: Taking taylor expansion of 1/4 in x 1.022 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.022 * [taylor]: Taking taylor expansion of y in x 1.023 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.023 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.023 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.023 * [taylor]: Taking taylor expansion of 1/4 in x 1.023 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.024 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.025 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.025 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.025 * [taylor]: Taking taylor expansion of -1/2 in y 1.025 * [taylor]: Taking taylor expansion of (log x) in y 1.025 * [taylor]: Taking taylor expansion of x in y 1.028 * [taylor]: Taking taylor expansion of 0 in y 1.033 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.033 * [taylor]: Taking taylor expansion of 1/4 in y 1.033 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in (x y) around 0 1.046 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.046 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.046 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.046 * [taylor]: Taking taylor expansion of 1/4 in y 1.046 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.046 * [taylor]: Taking taylor expansion of x in y 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.047 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.047 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.047 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.047 * [taylor]: Taking taylor expansion of 1/4 in x 1.047 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.048 * [taylor]: Taking taylor expansion of y in x 1.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.049 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.049 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.049 * [taylor]: Taking taylor expansion of 1/4 in x 1.049 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.050 * [taylor]: Taking taylor expansion of y in x 1.051 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.051 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.051 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.051 * [taylor]: Taking taylor expansion of -1/2 in y 1.051 * [taylor]: Taking taylor expansion of (log x) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.059 * [taylor]: Taking taylor expansion of 1/4 in y 1.059 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.059 * [taylor]: Taking taylor expansion of x in y 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.076 * [taylor]: Taking taylor expansion of 0 in y 1.076 * * * [progress]: simplifying candidates 1.078 * [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 (+ 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(sqrt (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 (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 (+ (pow (* x x) 3) (pow (* y y) 3)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))) (* (sqrt (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* 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) 1.087 * * [simplify]: iteration 0 : 291 enodes (cost 1436 ) 1.093 * * 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picking best candidate 1.432 * * * * [pick]: Picked # 1.432 * * * [progress]: localizing error 1.451 * * * [progress]: generating rewritten candidates 1.451 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 1.454 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 1.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 1.468 * * * [progress]: generating series expansions 1.468 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 1.468 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.468 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.468 * [taylor]: Taking taylor expansion of x in y 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.469 * [taylor]: Taking taylor expansion of y in x 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.470 * [taylor]: Taking taylor expansion of y in x 1.470 * [taylor]: Taking taylor expansion of y in y 1.470 * [taylor]: Taking taylor expansion of 0 in y 1.472 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.472 * [taylor]: Taking taylor expansion of 1/2 in y 1.472 * [taylor]: Taking taylor expansion of y in y 1.474 * [taylor]: Taking taylor expansion of 0 in y 1.475 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.475 * [taylor]: Taking taylor expansion of x in y 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.475 * [taylor]: Taking taylor expansion of y in y 1.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.478 * [taylor]: Taking taylor expansion of y in x 1.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.481 * [taylor]: Taking taylor expansion of y in x 1.483 * [taylor]: Taking taylor expansion of 1 in y 1.483 * [taylor]: Taking taylor expansion of 0 in y 1.485 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.485 * [taylor]: Taking taylor expansion of 1/2 in y 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.485 * [taylor]: Taking taylor expansion of y in y 1.488 * [taylor]: Taking taylor expansion of 0 in y 1.489 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.489 * [taylor]: Taking taylor expansion of x in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.489 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.492 * [taylor]: Taking taylor expansion of y in x 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.495 * [taylor]: Taking taylor expansion of y in x 1.497 * [taylor]: Taking taylor expansion of 1 in y 1.497 * [taylor]: Taking taylor expansion of 0 in y 1.499 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.499 * [taylor]: Taking taylor expansion of 1/2 in y 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.499 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of 0 in y 1.503 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 1.504 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.504 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.504 * [taylor]: Taking taylor expansion of x in y 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.504 * [taylor]: Taking taylor expansion of y in y 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.504 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.504 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.505 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [taylor]: Taking taylor expansion of y in y 1.506 * [taylor]: Taking taylor expansion of 0 in y 1.507 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.507 * [taylor]: Taking taylor expansion of 1/2 in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.510 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.510 * [taylor]: Taking taylor expansion of x in y 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.518 * [taylor]: Taking taylor expansion of 1 in y 1.518 * [taylor]: Taking taylor expansion of 0 in y 1.520 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.520 * [taylor]: Taking taylor expansion of 1/2 in y 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.523 * [taylor]: Taking taylor expansion of 0 in y 1.525 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.525 * [taylor]: Taking taylor expansion of x in y 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.525 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.530 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.530 * [taylor]: Taking taylor expansion of y in x 1.532 * [taylor]: Taking taylor expansion of 1 in y 1.532 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.534 * [taylor]: Taking taylor expansion of 1/2 in y 1.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.534 * [taylor]: Taking taylor expansion of y in y 1.538 * [taylor]: Taking taylor expansion of 0 in y 1.539 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.539 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.539 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.539 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.539 * [taylor]: Taking taylor expansion of x in y 1.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.540 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of 0 in y 1.542 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.542 * [taylor]: Taking taylor expansion of 1/2 in y 1.542 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.550 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.550 * [taylor]: Taking taylor expansion of x in y 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.550 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.553 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of 1 in y 1.558 * [taylor]: Taking taylor expansion of 0 in y 1.560 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.560 * [taylor]: Taking taylor expansion of 1/2 in y 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.560 * [taylor]: Taking taylor expansion of y in y 1.563 * [taylor]: Taking taylor expansion of 0 in y 1.564 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.564 * [taylor]: Taking taylor expansion of x in y 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.568 * [taylor]: Taking taylor expansion of y in x 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.571 * [taylor]: Taking taylor expansion of y in x 1.573 * [taylor]: Taking taylor expansion of 1 in y 1.573 * [taylor]: Taking taylor expansion of 0 in y 1.575 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.575 * [taylor]: Taking taylor expansion of 1/2 in y 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.578 * [taylor]: Taking taylor expansion of 0 in y 1.580 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1.580 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.580 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.580 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.580 * [taylor]: Taking taylor expansion of x in y 1.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.580 * [taylor]: Taking taylor expansion of y in y 1.580 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.580 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.581 * [taylor]: Taking taylor expansion of y in x 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.581 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.581 * [taylor]: Taking taylor expansion of y in x 1.582 * [taylor]: Taking taylor expansion of y in y 1.582 * [taylor]: Taking taylor expansion of 0 in y 1.583 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.583 * [taylor]: Taking taylor expansion of 1/2 in y 1.583 * [taylor]: Taking taylor expansion of y in y 1.585 * [taylor]: Taking taylor expansion of 0 in y 1.586 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.586 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.586 * [taylor]: Taking taylor expansion of x in y 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.586 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.589 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.594 * [taylor]: Taking taylor expansion of 1 in y 1.594 * [taylor]: Taking taylor expansion of 0 in y 1.596 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.596 * [taylor]: Taking taylor expansion of 1/2 in y 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.599 * [taylor]: Taking taylor expansion of 0 in y 1.600 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.600 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.601 * [taylor]: Taking taylor expansion of x in y 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.601 * [taylor]: Taking taylor expansion of y in y 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.604 * [taylor]: Taking taylor expansion of y in x 1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.606 * [taylor]: Taking taylor expansion of y in x 1.608 * [taylor]: Taking taylor expansion of 1 in y 1.608 * [taylor]: Taking taylor expansion of 0 in y 1.610 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.610 * [taylor]: Taking taylor expansion of 1/2 in y 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.614 * [taylor]: Taking taylor expansion of 0 in y 1.615 * * * [progress]: simplifying candidates 1.616 * [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)))) (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)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 1.620 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 1.622 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 1.626 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 1.635 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 1.664 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 1.752 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 1.754 * [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 (* 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)))) (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 (* 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)))) (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 (* 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)))) (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 (* 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) y x (* -1 x) y x (* -1 x) y x (* -1 x) 1.754 * * * [progress]: adding candidates to table 2.076 * [progress]: [Phase 3 of 3] Extracting. 2.076 * * [regime]: Finding splitpoints for: (# # # # # #) 2.077 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 2.077 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.103 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.127 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.149 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 2.172 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # #) 2.203 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 2.219 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # #) 2.253 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # #) 2.273 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.319 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.366 * * * [regime]: Found split indices: #