14.262 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.034 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.036 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.036 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.075 * * * [progress]: simplifying candidates 0.075 * [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)) 0.078 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.081 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.087 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.114 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.115 * [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)) 0.115 * * * [progress]: adding candidates to table 0.140 * * [progress]: iteration 2 / 4 0.140 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.155 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.158 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.175 * * * [progress]: generating series expansions 0.175 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.175 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.179 * [taylor]: Taking taylor expansion of 1/2 in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of 1/2 in y 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of 1/2 in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.209 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.210 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.212 * [taylor]: Taking taylor expansion of 1/2 in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of 1/2 in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.240 * [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 (/ 1/2 (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of 1/2 in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.246 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 1 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 1 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.271 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.271 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * * * [progress]: simplifying candidates 0.298 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y))))) (log (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (exp (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (* (sqrt (+ (* x x) (* y y))) (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 (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (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)) (* (* x x) (* y y)))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (- (* x x) (* y y))) (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) (* x x)) (* (* y y) (* y y))))) (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (* (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 (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 1 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) (* y y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt 1)) (* (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* x x) (* y y))) 1) (* (cbrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.303 * * [simplify]: iteration 0 : 198 enodes (cost 720 ) 0.308 * * [simplify]: iteration 1 : 892 enodes (cost 654 ) 0.328 * * [simplify]: iteration 2 : 4766 enodes (cost 634 ) 0.496 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.501 * [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)))) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (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))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (* (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (cbrt (sqrt (+ (* x x) (* y y))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* 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)) 0.501 * * * [progress]: adding candidates to table 0.681 * * [progress]: iteration 3 / 4 0.681 * * * [progress]: picking best candidate 0.685 * * * * [pick]: Picked # 0.685 * * * [progress]: localizing error 0.696 * * * [progress]: generating rewritten candidates 0.696 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.700 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.703 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.728 * * * [progress]: generating series expansions 0.728 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.728 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.728 * [taylor]: Taking taylor expansion of 1/3 in y 0.729 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.729 * [taylor]: Taking taylor expansion of 1/3 in x 0.729 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.729 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.729 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.729 * [taylor]: Taking taylor expansion of 1/3 in x 0.729 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.730 * [taylor]: Taking taylor expansion of 1/3 in y 0.730 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.737 * [taylor]: Taking taylor expansion of 1/3 in y 0.737 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.738 * [taylor]: Taking taylor expansion of 1/3 in y 0.738 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.738 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.755 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.755 * [taylor]: Taking taylor expansion of 1/3 in y 0.755 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.757 * [taylor]: Taking taylor expansion of 1/3 in x 0.757 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.759 * [taylor]: Taking taylor expansion of 1/3 in x 0.759 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.760 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.760 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.760 * [taylor]: Taking taylor expansion of -2/3 in y 0.760 * [taylor]: Taking taylor expansion of (log x) in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.767 * [taylor]: Taking taylor expansion of 1/3 in y 0.767 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.767 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.768 * [taylor]: Taking taylor expansion of 1/3 in y 0.768 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.768 * [taylor]: Taking taylor expansion of x in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.784 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.784 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.784 * [taylor]: Taking taylor expansion of 1/3 in y 0.784 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.785 * [taylor]: Taking taylor expansion of 1/3 in x 0.785 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.787 * [taylor]: Taking taylor expansion of 1/3 in x 0.787 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.789 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.789 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.789 * [taylor]: Taking taylor expansion of -2/3 in y 0.789 * [taylor]: Taking taylor expansion of (log x) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.796 * [taylor]: Taking taylor expansion of 1/3 in y 0.796 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.796 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.796 * [taylor]: Taking taylor expansion of 1/3 in y 0.796 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.797 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.818 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.818 * [taylor]: Taking taylor expansion of 1/3 in y 0.818 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.818 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.819 * [taylor]: Taking taylor expansion of 1/3 in x 0.819 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.819 * [taylor]: Taking taylor expansion of 1/3 in y 0.819 * [taylor]: Taking taylor expansion of (log (pow y 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 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.827 * [taylor]: Taking taylor expansion of 1/3 in y 0.827 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.827 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.827 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.827 * [taylor]: Taking taylor expansion of 1/3 in y 0.827 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.827 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.844 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.844 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.844 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.844 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.844 * [taylor]: Taking taylor expansion of 1/3 in y 0.844 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.844 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.846 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.846 * [taylor]: Taking taylor expansion of 1/3 in x 0.846 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.848 * [taylor]: Taking taylor expansion of 1/3 in x 0.848 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.850 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.850 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.850 * [taylor]: Taking taylor expansion of -2/3 in y 0.850 * [taylor]: Taking taylor expansion of (log x) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.857 * [taylor]: Taking taylor expansion of 1/3 in y 0.857 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.857 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.857 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.857 * [taylor]: Taking taylor expansion of 1/3 in y 0.857 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.874 * [taylor]: Taking taylor expansion of 1/3 in y 0.874 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.875 * [taylor]: Taking taylor expansion of 1/3 in x 0.875 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.877 * [taylor]: Taking taylor expansion of 1/3 in x 0.877 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.878 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.878 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.879 * [taylor]: Taking taylor expansion of -2/3 in y 0.879 * [taylor]: Taking taylor expansion of (log x) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.886 * [taylor]: Taking taylor expansion of 1/3 in y 0.886 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.886 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.886 * [taylor]: Taking taylor expansion of 1/3 in y 0.886 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.908 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 0.908 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.908 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.908 * [taylor]: Taking taylor expansion of 1/3 in y 0.908 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.908 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.908 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.908 * [taylor]: Taking taylor expansion of 1/3 in x 0.908 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.908 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.909 * [taylor]: Taking taylor expansion of 1/3 in x 0.909 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.909 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.909 * [taylor]: Taking taylor expansion of 1/3 in y 0.909 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.917 * [taylor]: Taking taylor expansion of 1/3 in y 0.917 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.917 * [taylor]: Taking taylor expansion of 1/3 in y 0.917 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.936 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.936 * [taylor]: Taking taylor expansion of 1/3 in y 0.936 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.937 * [taylor]: Taking taylor expansion of 1/3 in x 0.937 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.939 * [taylor]: Taking taylor expansion of 1/3 in x 0.939 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.940 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.940 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.940 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.940 * [taylor]: Taking taylor expansion of -2/3 in y 0.940 * [taylor]: Taking taylor expansion of (log x) in y 0.940 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.948 * [taylor]: Taking taylor expansion of 1/3 in y 0.948 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.948 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.948 * [taylor]: Taking taylor expansion of 1/3 in y 0.948 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.965 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.965 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.965 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.965 * [taylor]: Taking taylor expansion of 1/3 in y 0.965 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.967 * [taylor]: Taking taylor expansion of 1/3 in x 0.967 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.967 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.968 * [taylor]: Taking taylor expansion of 1/3 in x 0.968 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.970 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.970 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.970 * [taylor]: Taking taylor expansion of -2/3 in y 0.970 * [taylor]: Taking taylor expansion of (log x) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.978 * [taylor]: Taking taylor expansion of 1/3 in y 0.978 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.978 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.978 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.978 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.978 * [taylor]: Taking taylor expansion of 1/3 in y 0.978 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of 0 in y 1.000 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.000 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.000 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.003 * [taylor]: Taking taylor expansion of 1/2 in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.005 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.006 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.006 * [taylor]: Taking taylor expansion of x in y 1.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.009 * [taylor]: Taking taylor expansion of y in x 1.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.011 * [taylor]: Taking taylor expansion of y in x 1.013 * [taylor]: Taking taylor expansion of 1 in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of 1/2 in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of 0 in y 1.020 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.023 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.028 * [taylor]: Taking taylor expansion of 1 in y 1.028 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.029 * [taylor]: Taking taylor expansion of 1/2 in y 1.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.034 * * * [progress]: simplifying candidates 1.035 * [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))))) 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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 (- 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y)))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (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))))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (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) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (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))))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* 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) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* 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))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (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))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (- (* (* x x) 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(cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (- (* 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 (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (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) 1.043 * * [simplify]: iteration 0 : 287 enodes (cost 1504 ) 1.048 * * [simplify]: iteration 1 : 701 enodes (cost 1463 ) 1.067 * * [simplify]: iteration 2 : 3065 enodes (cost 1446 ) 1.207 * * [simplify]: iteration 3 : 5001 enodes (cost 1379 ) 1.214 * [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 (+ (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)))) (+ (* 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) 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(* 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 (- (* (* 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) (* x x)) (- (* (* y y) (* y y)) (* (* 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 (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (sqrt (* (* (cbrt (- (* x x) (* y y))) (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (cbrt (- (* x x) (* y y))))) (fabs (pow (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3/2)) (fabs (pow (cbrt (- (* x x) (* y y))) 3/2)) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (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))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (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))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (fabs (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (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))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (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))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (fabs (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (fabs (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (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))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (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))))))) (sqrt (* (* (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (+ (* x x) (* y y)))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (fabs (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y)))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (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) 1.215 * * * [progress]: adding candidates to table 1.479 * * [progress]: iteration 4 / 4 1.479 * * * [progress]: picking best candidate 1.481 * * * * [pick]: Picked # 1.481 * * * [progress]: localizing error 1.495 * * * [progress]: generating rewritten candidates 1.495 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.498 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.507 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.531 * * * [progress]: generating series expansions 1.531 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.531 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.531 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.531 * [taylor]: Taking taylor expansion of x in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.532 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.532 * [taylor]: Taking taylor expansion of y in x 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.532 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.532 * [taylor]: Taking taylor expansion of y in x 1.533 * [taylor]: Taking taylor expansion of y in y 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.534 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.534 * [taylor]: Taking taylor expansion of 1/2 in y 1.534 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of 0 in y 1.537 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.537 * [taylor]: Taking taylor expansion of x in y 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.537 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.540 * [taylor]: Taking taylor expansion of y in x 1.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.542 * [taylor]: Taking taylor expansion of y in x 1.544 * [taylor]: Taking taylor expansion of 1 in y 1.544 * [taylor]: Taking taylor expansion of 0 in y 1.546 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.546 * [taylor]: Taking taylor expansion of 1/2 in y 1.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.546 * [taylor]: Taking taylor expansion of y in y 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.551 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.551 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.551 * [taylor]: Taking taylor expansion of x in y 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.551 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.556 * [taylor]: Taking taylor expansion of x in x 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.556 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of 1 in y 1.558 * [taylor]: Taking taylor expansion of 0 in y 1.560 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.560 * [taylor]: Taking taylor expansion of 1/2 in y 1.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.560 * [taylor]: Taking taylor expansion of y in y 1.563 * [taylor]: Taking taylor expansion of 0 in y 1.569 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.569 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.569 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.569 * [taylor]: Taking taylor expansion of x in y 1.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.569 * [taylor]: Taking taylor expansion of y in y 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.570 * [taylor]: Taking taylor expansion of y in x 1.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.570 * [taylor]: Taking taylor expansion of y in x 1.571 * [taylor]: Taking taylor expansion of y in y 1.571 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.572 * [taylor]: Taking taylor expansion of 1/2 in y 1.572 * [taylor]: Taking taylor expansion of y in y 1.574 * [taylor]: Taking taylor expansion of 0 in y 1.575 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.575 * [taylor]: Taking taylor expansion of x in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.575 * [taylor]: Taking taylor expansion of y in y 1.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.577 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.578 * [taylor]: Taking taylor expansion of y in x 1.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.580 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.580 * [taylor]: Taking taylor expansion of y in x 1.582 * [taylor]: Taking taylor expansion of 1 in y 1.582 * [taylor]: Taking taylor expansion of 0 in y 1.584 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.584 * [taylor]: Taking taylor expansion of 1/2 in y 1.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.584 * [taylor]: Taking taylor expansion of y in y 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.588 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.589 * [taylor]: Taking taylor expansion of x in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.592 * [taylor]: Taking taylor expansion of y in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.593 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.594 * [taylor]: Taking taylor expansion of y in x 1.596 * [taylor]: Taking taylor expansion of 1 in y 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.598 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.598 * [taylor]: Taking taylor expansion of 1/2 in y 1.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.598 * [taylor]: Taking taylor expansion of y in y 1.601 * [taylor]: Taking taylor expansion of 0 in y 1.602 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.602 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in (x y) around 0 1.602 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in y 1.602 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 1.602 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 1.602 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 1.602 * [taylor]: Taking taylor expansion of 1/4 in y 1.602 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 1.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.602 * [taylor]: Taking taylor expansion of x in y 1.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.602 * [taylor]: Taking taylor expansion of y in y 1.603 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in x 1.603 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 1.603 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 1.603 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 1.603 * [taylor]: Taking taylor expansion of 1/4 in x 1.603 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.603 * [taylor]: Taking taylor expansion of y in x 1.603 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in x 1.603 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 1.603 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 1.603 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 1.603 * [taylor]: Taking taylor expansion of 1/4 in x 1.603 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 1.603 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.603 * [taylor]: Taking taylor expansion of x in x 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.603 * [taylor]: Taking taylor expansion of y in x 1.604 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 1.604 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.604 * [taylor]: Taking taylor expansion of y in y 1.607 * [taylor]: Taking taylor expansion of 0 in y 1.611 * [taylor]: Taking taylor expansion of (* 3/4 (sqrt (/ 1 y))) in y 1.611 * [taylor]: Taking taylor expansion of 3/4 in y 1.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.611 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.611 * [taylor]: Taking taylor expansion of y in y 1.619 * [taylor]: Taking taylor expansion of 0 in y 1.624 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in (x y) around 0 1.624 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in y 1.624 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.624 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.624 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.624 * [taylor]: Taking taylor expansion of 1/4 in y 1.624 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.625 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.625 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.625 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.625 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.625 * [taylor]: Taking taylor expansion of 1/4 in x 1.625 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.626 * [taylor]: Taking taylor expansion of y in x 1.627 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.627 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.627 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.627 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.627 * [taylor]: Taking taylor expansion of 1/4 in x 1.627 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.627 * [taylor]: Taking taylor expansion of y in x 1.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.629 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.632 * [taylor]: Taking taylor expansion of 0 in y 1.637 * [taylor]: Taking taylor expansion of (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) in y 1.637 * [taylor]: Taking taylor expansion of 3/4 in y 1.637 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) in y 1.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.637 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.637 * [taylor]: Taking taylor expansion of x in y 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.637 * [taylor]: Taking taylor expansion of y in y 1.654 * [taylor]: Taking taylor expansion of 0 in y 1.654 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in (x y) around 0 1.654 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in y 1.654 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.654 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.654 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.654 * [taylor]: Taking taylor expansion of 1/4 in y 1.654 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.654 * [taylor]: Taking taylor expansion of x in y 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.655 * [taylor]: Taking taylor expansion of y in y 1.656 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.656 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.656 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.656 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.656 * [taylor]: Taking taylor expansion of 1/4 in x 1.656 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.657 * [taylor]: Taking taylor expansion of y in x 1.658 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.658 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.658 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.658 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.658 * [taylor]: Taking taylor expansion of 1/4 in x 1.658 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.658 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.658 * [taylor]: Taking taylor expansion of y in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.659 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.660 * [taylor]: Taking taylor expansion of x in y 1.663 * [taylor]: Taking taylor expansion of 0 in y 1.668 * [taylor]: Taking taylor expansion of (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) in y 1.668 * [taylor]: Taking taylor expansion of 3/4 in y 1.668 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) in y 1.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.668 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.668 * [taylor]: Taking taylor expansion of x in y 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.669 * [taylor]: Taking taylor expansion of y in y 1.681 * [taylor]: Taking taylor expansion of 0 in y 1.681 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.681 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.681 * [taylor]: Taking taylor expansion of x in y 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.682 * [taylor]: Taking taylor expansion of y in y 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.683 * [taylor]: Taking taylor expansion of 1 in y 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.686 * [taylor]: Taking taylor expansion of 0 in y 1.687 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.687 * [taylor]: Taking taylor expansion of x in y 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.687 * [taylor]: Taking taylor expansion of y in y 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.689 * [taylor]: Taking taylor expansion of 1 in y 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of 0 in y 1.695 * [taylor]: Taking taylor expansion of 0 in y 1.697 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.697 * [taylor]: Taking taylor expansion of x in y 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.697 * [taylor]: Taking taylor expansion of y in y 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.698 * [taylor]: Taking taylor expansion of y in x 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.698 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.699 * [taylor]: Taking taylor expansion of y in x 1.699 * [taylor]: Taking taylor expansion of 1 in y 1.700 * [taylor]: Taking taylor expansion of 0 in y 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.703 * [taylor]: Taking taylor expansion of 0 in y 1.706 * [taylor]: Taking taylor expansion of 0 in y 1.707 * * * [progress]: simplifying candidates 1.709 * [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 (sqrt (+ (* x x) (* y y))))) 3) (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 1) (pow (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow 1 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (log (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (exp (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (* (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (* (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (pow (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow 1 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) 3) (pow (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) 3) (pow (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) 3) (pow (sqrt (sqrt (- (* x x) (* y y)))) 3) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (sqrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (/ 3 2)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (/ 3 2)) (+ 1 3) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3)) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3)) (+ (log (sqrt (sqrt (+ (* x x) (* y y))))) (log (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (log (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (exp (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (* (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)))) (cbrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (* (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (sqrt (* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (pow (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) 3)) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (pow (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) 3)) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (pow (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) 3)) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) (pow (sqrt (sqrt (- (* x x) (* y y)))) 3)) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (pow (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) 3)) (* (sqrt (sqrt (- (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) 3)) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (pow (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) 3)) (* (sqrt (sqrt (- (* x x) (* y y)))) (pow (sqrt (sqrt (- (* x x) (* y y)))) 3)) (* (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) (pow (sqrt 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[regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 2.065 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 2.081 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 2.094 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 2.110 * * * * [regimes]: Trying to branch on y from (# # #) 2.124 * * * * [regimes]: Trying to branch on x from (# # #) 2.138 * * * [regime]: Found split indices: #