28.903 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.022 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * * * [progress]: simplifying candidates 0.061 * [simplify]: Simplifying using # : (* (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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.065 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.068 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.076 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.108 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.109 * [simplify]: Simplified to: (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 (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.109 * * * [progress]: adding candidates to table 0.139 * * [progress]: iteration 2 / 4 0.139 * * * [progress]: picking best candidate 0.140 * * * * [pick]: Picked # 0.140 * * * [progress]: localizing error 0.147 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.151 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.154 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.158 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.167 * [taylor]: Taking taylor expansion of 1/2 in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of 1/2 in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of 1/2 in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.203 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.206 * [taylor]: Taking taylor expansion of 1/2 in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of 1 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of 1/2 in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of 1/2 in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.237 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.237 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of 1 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.263 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.293 * * * [progress]: simplifying candidates 0.294 * [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)))) (* (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)) (* (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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.298 * * [simplify]: iteration 0 : 125 enodes (cost 354 ) 0.301 * * [simplify]: iteration 1 : 530 enodes (cost 326 ) 0.310 * * [simplify]: iteration 2 : 1540 enodes (cost 326 ) 0.345 * * [simplify]: iteration 3 : 5001 enodes (cost 324 ) 0.347 * [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)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.348 * * * [progress]: adding candidates to table 0.508 * * [progress]: iteration 3 / 4 0.508 * * * [progress]: picking best candidate 0.510 * * * * [pick]: Picked # 0.510 * * * [progress]: localizing error 0.521 * * * [progress]: generating rewritten candidates 0.521 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.525 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.528 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.532 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.552 * * * [progress]: generating series expansions 0.552 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.552 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.552 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.552 * [taylor]: Taking taylor expansion of 1/3 in y 0.552 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.552 * [taylor]: Taking taylor expansion of 1/3 in x 0.553 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.553 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.553 * [taylor]: Taking taylor expansion of 1/3 in x 0.553 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.553 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.553 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.553 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.553 * [taylor]: Taking taylor expansion of 1/3 in y 0.553 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.561 * [taylor]: Taking taylor expansion of 1/3 in y 0.561 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.561 * [taylor]: Taking taylor expansion of 1/3 in y 0.561 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.561 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.580 * [taylor]: Taking taylor expansion of 1/3 in y 0.580 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.581 * [taylor]: Taking taylor expansion of 1/3 in x 0.581 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.582 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.583 * [taylor]: Taking taylor expansion of 1/3 in x 0.583 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.585 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.585 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.585 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.585 * [taylor]: Taking taylor expansion of -2/3 in y 0.585 * [taylor]: Taking taylor expansion of (log x) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.596 * [taylor]: Taking taylor expansion of 1/3 in y 0.596 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.596 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.596 * [taylor]: Taking taylor expansion of 1/3 in y 0.596 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.613 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.613 * [taylor]: Taking taylor expansion of 1/3 in y 0.613 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.614 * [taylor]: Taking taylor expansion of 1/3 in x 0.614 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.616 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.616 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.616 * [taylor]: Taking taylor expansion of 1/3 in x 0.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.618 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.618 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.618 * [taylor]: Taking taylor expansion of -2/3 in y 0.618 * [taylor]: Taking taylor expansion of (log x) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.625 * [taylor]: Taking taylor expansion of 1/3 in y 0.625 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.625 * [taylor]: Taking taylor expansion of 1/3 in y 0.625 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.642 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.642 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.643 * [taylor]: Taking taylor expansion of 1/3 in y 0.643 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.643 * [taylor]: Taking taylor expansion of 1/3 in x 0.643 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.643 * [taylor]: Taking taylor expansion of 1/3 in x 0.643 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.643 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.644 * [taylor]: Taking taylor expansion of 1/3 in y 0.644 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.651 * [taylor]: Taking taylor expansion of 1/3 in y 0.651 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.652 * [taylor]: Taking taylor expansion of 1/3 in y 0.652 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.652 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.670 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.670 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.670 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.670 * [taylor]: Taking taylor expansion of 1/3 in y 0.670 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.671 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.671 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.671 * [taylor]: Taking taylor expansion of 1/3 in x 0.671 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.673 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.673 * [taylor]: Taking taylor expansion of 1/3 in x 0.673 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.673 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.677 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.677 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.677 * [taylor]: Taking taylor expansion of -2/3 in y 0.677 * [taylor]: Taking taylor expansion of (log x) in y 0.677 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.685 * [taylor]: Taking taylor expansion of 1/3 in y 0.685 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.685 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.685 * [taylor]: Taking taylor expansion of 1/3 in y 0.685 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.702 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.702 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.702 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.702 * [taylor]: Taking taylor expansion of 1/3 in y 0.702 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.702 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.702 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.704 * [taylor]: Taking taylor expansion of 1/3 in x 0.704 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.705 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.705 * [taylor]: Taking taylor expansion of 1/3 in x 0.705 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.707 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.707 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.707 * [taylor]: Taking taylor expansion of -2/3 in y 0.707 * [taylor]: Taking taylor expansion of (log x) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.714 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.715 * [taylor]: Taking taylor expansion of 1/3 in y 0.715 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.715 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.715 * [taylor]: Taking taylor expansion of 1/3 in y 0.715 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.715 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.715 * [taylor]: Taking taylor expansion of x in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.731 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 0.731 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.731 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.732 * [taylor]: Taking taylor expansion of 1/3 in y 0.732 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.732 * [taylor]: Taking taylor expansion of 1/3 in x 0.732 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.732 * [taylor]: Taking taylor expansion of 1/3 in x 0.732 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.733 * [taylor]: Taking taylor expansion of 1/3 in y 0.733 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.740 * [taylor]: Taking taylor expansion of 1/3 in y 0.740 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.740 * [taylor]: Taking taylor expansion of 1/3 in y 0.740 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.740 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.759 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.759 * [taylor]: Taking taylor expansion of 1/3 in y 0.759 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.766 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.766 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.766 * [taylor]: Taking taylor expansion of 1/3 in x 0.766 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.767 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.767 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.767 * [taylor]: Taking taylor expansion of -2/3 in y 0.767 * [taylor]: Taking taylor expansion of (log x) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.775 * [taylor]: Taking taylor expansion of 1/3 in y 0.775 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.775 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.775 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.775 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.775 * [taylor]: Taking taylor expansion of 1/3 in y 0.775 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.792 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.792 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.792 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.792 * [taylor]: Taking taylor expansion of 1/3 in y 0.792 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.792 * [taylor]: Taking taylor expansion of x in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.793 * [taylor]: Taking taylor expansion of 1/3 in x 0.793 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.795 * [taylor]: Taking taylor expansion of 1/3 in x 0.795 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.796 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.797 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.797 * [taylor]: Taking taylor expansion of -2/3 in y 0.797 * [taylor]: Taking taylor expansion of (log x) in y 0.797 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.804 * [taylor]: Taking taylor expansion of 1/3 in y 0.804 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.804 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.804 * [taylor]: Taking taylor expansion of 1/3 in y 0.804 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.805 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.805 * [taylor]: Taking taylor expansion of x in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.822 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.822 * [taylor]: Taking taylor expansion of x 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 (+ (pow x 2) (pow y 2))) in x 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.823 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.825 * [taylor]: Taking taylor expansion of 1/2 in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of 1 in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.837 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of 1/2 in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of 1 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.856 * [taylor]: Taking taylor expansion of 1/2 in y 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.860 * * * [progress]: simplifying candidates 0.862 * [simplify]: Simplifying using # : (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt 1) (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (- (* x x) (* y y))) (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (log (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (exp (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))))) (cbrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (* (* (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y)))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) 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(cbrt (+ (* x x) (* y y)))))) (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3)))) (pow (/ 1 x) -2/3) (pow (/ -1 x) -2/3) y x (* -1 x) 0.870 * * [simplify]: iteration 0 : 287 enodes (cost 1504 ) 0.875 * * [simplify]: iteration 1 : 701 enodes (cost 1463 ) 0.897 * * [simplify]: iteration 2 : 3065 enodes (cost 1446 ) 1.040 * * [simplify]: iteration 3 : 5001 enodes (cost 1379 ) 1.047 * [simplify]: Simplified to: (log (cbrt (+ (* x x) (* y y)))) (exp (cbrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))) 1 (cbrt (+ (* x x) (* y y))) (cbrt 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Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 1.291 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.302 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.315 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.327 * * * * [regimes]: Trying to branch on y from (# #) 1.338 * * * * [regimes]: Trying to branch on x from (# #) 1.350 * * * [regime]: Found split indices: #