21.193 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.120 * * * [progress]: [2/2] Setting up program. 0.124 * [progress]: [Phase 2 of 3] Improving. 0.125 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.128 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.130 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.130 * [simplify]: Simplified to: (sqrt (+ (* x x) (* y y))) 0.130 * * [progress]: iteration 1 / 4 0.130 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.150 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.156 * * * [progress]: generating series expansions 0.156 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.156 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.158 * [taylor]: Taking taylor expansion of 1/2 in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of 1 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of 1/2 in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.166 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 1 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of 1 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * * * [progress]: simplifying candidates 0.175 * [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)) 0.180 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.184 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.195 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.233 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.235 * [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)) 0.235 * * * [progress]: adding candidates to table 0.272 * * [progress]: iteration 2 / 4 0.272 * * * [progress]: picking best candidate 0.281 * * * * [pick]: Picked # 0.281 * * * [progress]: localizing error 0.290 * * * [progress]: generating rewritten candidates 0.290 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.294 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.299 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.304 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [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 0.305 * [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 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of 1/2 in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [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 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [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 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [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 0.308 * [taylor]: Taking taylor expansion of 1 in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of 1/2 in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.309 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.309 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.310 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.310 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.310 * [taylor]: Taking taylor expansion of 1/2 in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [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 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.312 * [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 0.312 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.312 * [taylor]: Taking taylor expansion of 1/2 in y 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 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 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of 1/2 in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.315 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.315 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of 1 in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * * * [progress]: simplifying candidates 0.323 * [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 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (exp (log (cbrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (exp (log (sqrt (cbrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (log 1)) (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (exp (log (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (exp (log (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (exp (log (sqrt (- (* x x) (* y y))))) (log (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (exp (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y))))))) (cbrt (exp (log (sqrt (+ (* x x) (* y y)))))) (* (* (exp (log (sqrt (+ (* x x) (* y y))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (sqrt (+ (* x x) (* y y)))))) (sqrt (exp (log (sqrt (+ (* x x) (* y y)))))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.327 * * [simplify]: iteration 0 : 172 enodes (cost 330 ) 0.330 * * [simplify]: iteration 1 : 601 enodes (cost 313 ) 0.337 * * [simplify]: iteration 2 : 1676 enodes (cost 304 ) 0.370 * * [simplify]: iteration 3 : 5001 enodes (cost 296 ) 0.373 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (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 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (sqrt (log (sqrt (+ (* x x) (* y y)))))) E (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* 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))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 2) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (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) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.373 * * * [progress]: adding candidates to table 0.432 * * [progress]: iteration 3 / 4 0.432 * * * [progress]: picking best candidate 0.447 * * * * [pick]: Picked # 0.447 * * * [progress]: localizing error 0.466 * * * [progress]: generating rewritten candidates 0.466 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.470 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 0.473 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.477 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.482 * * * [progress]: generating series expansions 0.482 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.482 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.482 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.483 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.484 * [taylor]: Taking taylor expansion of 1/2 in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.484 * [taylor]: Taking taylor expansion of x in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of 1 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of 1/2 in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of 1 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of 1/2 in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.488 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 0.488 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.489 * [taylor]: Taking taylor expansion of 1/2 in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of 1 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of 1/2 in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of 1/2 in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.494 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.494 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.495 * [taylor]: Taking taylor expansion of 1/2 in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of 1 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of 1/2 in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of 1 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of 1/2 in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.499 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.500 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))))) in y 0.500 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)))) in y 0.500 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in y 0.500 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in y 0.500 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in y 0.500 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in y 0.500 * [taylor]: Taking taylor expansion of 1/3 in y 0.500 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in y 0.500 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in x 0.501 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))))) in x 0.501 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)))) in x 0.501 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in x 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in x 0.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in x 0.501 * [taylor]: Taking taylor expansion of 1/3 in x 0.501 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.501 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.501 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in x 0.502 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in x 0.502 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in x 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in x 0.502 * [taylor]: Taking taylor expansion of 1/3 in x 0.502 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in x 0.502 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3)) in x 0.503 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))))) in x 0.503 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)))) in x 0.503 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 1/3) in x 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2))))))) in x 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow x 2) (pow y 2)))))) in x 0.503 * [taylor]: Taking taylor expansion of 1/3 in x 0.503 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow x 2) (pow y 2))))) in x 0.503 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3))) in x 0.503 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3)) in x 0.503 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) 1/3) in x 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2))) in x 0.503 * [taylor]: Taking taylor expansion of 1/3 in x 0.503 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow x 2) (pow y 2)))) 2) in x 0.503 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow x 2) (pow y 2)))) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.509 * [taylor]: Taking taylor expansion of 1/2 in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in y 0.514 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in y 0.515 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in y 0.515 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in y 0.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in y 0.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.515 * [taylor]: Taking taylor expansion of 1/3 in y 0.515 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.515 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in y 0.515 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in y 0.515 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in y 0.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in y 0.515 * [taylor]: Taking taylor expansion of 1/3 in y 0.515 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in y 0.515 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.516 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.516 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.516 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.516 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.517 * [taylor]: Taking taylor expansion of 1/3 in x 0.517 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.517 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.517 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.517 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.517 * [taylor]: Taking taylor expansion of 1/3 in x 0.517 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.517 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.518 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.518 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.518 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.518 * [taylor]: Taking taylor expansion of 1/3 in x 0.518 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.518 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.519 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.519 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.519 * [taylor]: Taking taylor expansion of 1/3 in x 0.519 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.519 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.520 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.520 * [taylor]: Taking taylor expansion of (log 1) in y 0.520 * [taylor]: Taking taylor expansion of 1 in y 0.520 * [taylor]: Taking taylor expansion of (log x) in y 0.520 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) (exp (- (log 1) (log x)))) in y 0.532 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) in y 0.532 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) in y 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) in y 0.532 * [taylor]: Taking taylor expansion of 1/3 in y 0.532 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log x)) (pow y 2))) in y 0.532 * [taylor]: Taking taylor expansion of (log 1) in y 0.532 * [taylor]: Taking taylor expansion of 1 in y 0.532 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.532 * [taylor]: Taking taylor expansion of (log 1) in y 0.532 * [taylor]: Taking taylor expansion of 1 in y 0.532 * [taylor]: Taking taylor expansion of (log x) in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y 0.532 * [taylor]: Taking taylor expansion of 1/6 in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2)))) in y 0.532 * [taylor]: Taking taylor expansion of 1/3 in y 0.532 * [taylor]: Taking taylor expansion of (/ (log x) (* (- (log 1) (log x)) (pow y 2))) in y 0.532 * [taylor]: Taking taylor expansion of (log x) in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.532 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.532 * [taylor]: Taking taylor expansion of (log 1) in y 0.532 * [taylor]: Taking taylor expansion of 1 in y 0.532 * [taylor]: Taking taylor expansion of (log x) in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.532 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.532 * [taylor]: Taking taylor expansion of (log 1) in y 0.533 * [taylor]: Taking taylor expansion of 1 in y 0.533 * [taylor]: Taking taylor expansion of (log x) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in (x y) around 0 0.545 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in y 0.545 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in y 0.545 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in y 0.545 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in y 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in y 0.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.545 * [taylor]: Taking taylor expansion of 1/3 in y 0.545 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.545 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in y 0.546 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in y 0.546 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in y 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in y 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in y 0.546 * [taylor]: Taking taylor expansion of 1/3 in y 0.546 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in y 0.546 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.547 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.547 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.547 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.547 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.547 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.547 * [taylor]: Taking taylor expansion of 1/3 in x 0.547 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.547 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.548 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.548 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.548 * [taylor]: Taking taylor expansion of 1/3 in x 0.548 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.548 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3)) in x 0.549 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))))) in x 0.549 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)))) in x 0.549 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1/3) in x 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.549 * [taylor]: Taking taylor expansion of 1/3 in x 0.549 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.549 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3))) in x 0.550 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3)) in x 0.550 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) 1/3) in x 0.550 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2))) in x 0.550 * [taylor]: Taking taylor expansion of 1/3 in x 0.550 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 2) in x 0.550 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.551 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.551 * [taylor]: Taking taylor expansion of (log 1) in y 0.551 * [taylor]: Taking taylor expansion of 1 in y 0.551 * [taylor]: Taking taylor expansion of (log x) in y 0.551 * [taylor]: Taking taylor expansion of x in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) (exp (- (log 1) (log x)))) in y 0.560 * [taylor]: Taking taylor expansion of (- (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2))))) in y 0.560 * [taylor]: Taking taylor expansion of (+ (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) (* 1/6 (/ 1 (pow y 2)))) in y 0.560 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log x)) (pow y 2)))) in y 0.560 * [taylor]: Taking taylor expansion of 1/3 in y 0.560 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log x)) (pow y 2))) in y 0.560 * [taylor]: Taking taylor expansion of (log 1) in y 0.560 * [taylor]: Taking taylor expansion of 1 in y 0.560 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.560 * [taylor]: Taking taylor expansion of (log 1) in y 0.560 * [taylor]: Taking taylor expansion of 1 in y 0.560 * [taylor]: Taking taylor expansion of (log x) in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y 0.560 * [taylor]: Taking taylor expansion of 1/6 in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log x) (* (- (log 1) (log x)) (pow y 2)))) in y 0.561 * [taylor]: Taking taylor expansion of 1/3 in y 0.561 * [taylor]: Taking taylor expansion of (/ (log x) (* (- (log 1) (log x)) (pow y 2))) in y 0.561 * [taylor]: Taking taylor expansion of (log x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (* (- (log 1) (log x)) (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.561 * [taylor]: Taking taylor expansion of (log 1) in y 0.561 * [taylor]: Taking taylor expansion of 1 in y 0.561 * [taylor]: Taking taylor expansion of (log x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log x))) in y 0.561 * [taylor]: Taking taylor expansion of (- (log 1) (log x)) in y 0.561 * [taylor]: Taking taylor expansion of (log 1) in y 0.561 * [taylor]: Taking taylor expansion of 1 in y 0.561 * [taylor]: Taking taylor expansion of (log x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.573 * * * [progress]: simplifying candidates 0.574 * [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)))) (* (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* (log (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* 1 (cbrt (log (sqrt (+ (* x x) (* y y)))))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1/2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (/ 1 2))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (sqrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) 1) (pow (* (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow 1 (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (log (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (* (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) y x (* -1 x) y x (* -1 x) y x (* -1 x) y (exp (- (log 1) (log (/ 1 x)))) (exp (- (log 1) (log (/ -1 x)))) 0.579 * * [simplify]: iteration 0 : 197 enodes (cost 929 ) 0.583 * * [simplify]: iteration 1 : 514 enodes (cost 856 ) 0.591 * * [simplify]: iteration 2 : 1563 enodes (cost 841 ) 0.621 * * [simplify]: iteration 3 : 5001 enodes (cost 837 ) 0.625 * [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)))) (log (sqrt (+ (* x x) (* y y)))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (log (sqrt (+ (* x x) (* y y))))) (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1/2)) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt 1/2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (sqrt (log (sqrt (+ (* x x) (* y y))))))) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))) (cbrt (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (cbrt (log (sqrt (+ (* x x) (* y y))))))) (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (* (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (cbrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) 1 (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) (log (sqrt (+ (* x x) (* y y)))) (exp (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (* (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y)))))) 3) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) (pow (exp (* (cbrt (log (sqrt (+ (* x x) (* y y))))) (cbrt (log (sqrt (+ (* x x) (* y y))))))) (/ (cbrt (log (sqrt (+ (* x x) (* y y))))) 2)) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 0.625 * * * [progress]: adding candidates to table 0.738 * * [progress]: iteration 4 / 4 0.738 * * * [progress]: picking best candidate 0.754 * * * * [pick]: Picked # 0.754 * * * [progress]: localizing error 0.784 * * * [progress]: generating rewritten candidates 0.784 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.787 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 1) 0.791 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.794 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1) 0.799 * * * [progress]: generating series expansions 0.799 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.799 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.799 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.801 * [taylor]: Taking taylor expansion of 1/2 in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of 1 in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of 1/2 in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.804 * [taylor]: Taking taylor expansion of x in y 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.804 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of 1 in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.805 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of 1/2 in y 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1 1) 0.808 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.808 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.808 * [taylor]: Taking taylor expansion of x in y 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.810 * [taylor]: Taking taylor expansion of 1/2 in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.810 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.810 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of 1 in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.811 * [taylor]: Taking taylor expansion of 1/2 in y 0.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.812 * [taylor]: Taking taylor expansion of x in y 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [taylor]: Taking taylor expansion of 1 in y 0.813 * [taylor]: Taking taylor expansion of 0 in y 0.813 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of 1/2 in y 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.814 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 0.814 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.814 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.814 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.815 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.815 * [taylor]: Taking taylor expansion of 1/2 in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of 1 in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.817 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of 1/2 in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of 1 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of 1/2 in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.820 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1) 0.820 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.820 * [taylor]: Taking taylor expansion of x in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.820 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.821 * [taylor]: Taking taylor expansion of 1/2 in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of 1 in y 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of 1/2 in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of 1 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of 1/2 in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.825 * * * [progress]: simplifying candidates 0.826 * [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) 0.830 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 0.833 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 0.837 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 0.847 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 0.876 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 0.966 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 0.969 * [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) 0.969 * * * [progress]: adding candidates to table 1.086 * [progress]: [Phase 3 of 3] Extracting. 1.086 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.087 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 1.087 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 1.139 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.186 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 1.234 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.273 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # #) 1.330 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.361 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # # # # # #) 1.419 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# #) 1.455 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 1.518 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.579 * * * [regime]: Found split indices: #