18.811 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.038 * [taylor]: Taking taylor expansion of 1/2 in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of 1/2 in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of 1/2 in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.073 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.073 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x 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 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * * * [progress]: simplifying candidates 0.099 * [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)) 0.103 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.106 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.113 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.147 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.148 * [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))) (+ (* (neg (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)) 0.148 * * * [progress]: adding candidates to table 0.204 * * [progress]: iteration 2 / 4 0.204 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.220 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.223 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.246 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.248 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.250 * [taylor]: Taking taylor expansion of 1/2 in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of 1/2 in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of 1/2 in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.284 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.287 * [taylor]: Taking taylor expansion of 1/2 in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of 1/2 in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 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 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of 1 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.314 * [taylor]: Taking taylor expansion of 1/2 in y 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.318 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.319 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.320 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.322 * [taylor]: Taking taylor expansion of 1/2 in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.324 * [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 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [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 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of 1 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of 1/2 in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of 1/2 in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.357 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.358 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [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 0.364 * [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 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of 1 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of 1 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (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 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (sqrt (sqrt (+ (* x x) (* y y)))))) (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y))))))) (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* 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(* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.427 * * * [progress]: adding candidates to table 0.618 * * [progress]: iteration 3 / 4 0.618 * * * [progress]: picking best candidate 0.620 * * * * [pick]: Picked # 0.620 * * * [progress]: localizing error 0.621 * * * [progress]: generating rewritten candidates 0.621 * * * [progress]: generating series expansions 0.621 * * * [progress]: simplifying candidates 0.621 * [simplify]: Simplifying using # : 0.624 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.624 * [simplify]: Simplified to: 0.624 * * * [progress]: adding candidates to table 0.624 * * [progress]: iteration 4 / 4 0.624 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.627 * * * [progress]: generating rewritten candidates 0.627 * * * [progress]: generating series expansions 0.627 * * * [progress]: simplifying candidates 0.627 * [simplify]: Simplifying using # : 0.629 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.629 * [simplify]: Simplified to: 0.630 * * * [progress]: adding candidates to table 0.630 * [progress]: [Phase 3 of 3] Extracting. 0.630 * * [regime]: Finding splitpoints for: (# # # # #) 0.630 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 0.630 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.659 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 0.685 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 0.703 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.720 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # #) 0.746 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.756 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # #) 0.785 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 0.800 * * * * [regimes]: Trying to branch on y from (# # # # #) 0.822 * * * * [regimes]: Trying to branch on x from (# # # # #) 0.850 * * * [regime]: Found split indices: #