14.505 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.033 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.034 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.035 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * * * [progress]: simplifying candidates 0.073 * [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)) 0.076 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.079 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.085 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.116 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.116 * [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)) 0.116 * * * [progress]: adding candidates to table 0.142 * * [progress]: iteration 2 / 4 0.142 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.154 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.158 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.162 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.181 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.187 * * * [progress]: generating series expansions 0.187 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.187 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.190 * [taylor]: Taking taylor expansion of 1/2 in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.198 * [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 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of 1/2 in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of 1/2 in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.221 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.221 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.222 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.222 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.224 * [taylor]: Taking taylor expansion of 1/2 in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 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 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of 1/2 in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.254 * [taylor]: Taking taylor expansion of 1/2 in y 0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.258 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.258 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of 1 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.284 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of 1 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of 1 in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * * * [progress]: simplifying candidates 0.312 * [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)) 0.320 * * [simplify]: iteration 0 : 198 enodes (cost 720 ) 0.324 * * [simplify]: iteration 1 : 892 enodes (cost 654 ) 0.344 * * [simplify]: iteration 2 : 4766 enodes (cost 634 ) 0.511 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.514 * [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)) 0.514 * * * [progress]: adding candidates to table 0.682 * * [progress]: iteration 3 / 4 0.682 * * * [progress]: picking best candidate 0.686 * * * * [pick]: Picked # 0.686 * * * [progress]: localizing error 0.697 * * * [progress]: generating rewritten candidates 0.697 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.699 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.701 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.705 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.734 * * * [progress]: generating series expansions 0.735 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.735 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.735 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.735 * [taylor]: Taking taylor expansion of 1/3 in y 0.735 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.735 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.735 * [taylor]: Taking taylor expansion of 1/3 in x 0.735 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.735 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.736 * [taylor]: Taking taylor expansion of 1/3 in x 0.736 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.736 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.736 * [taylor]: Taking taylor expansion of 1/3 in y 0.736 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.744 * [taylor]: Taking taylor expansion of 1/3 in y 0.744 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.744 * [taylor]: Taking taylor expansion of 1/3 in y 0.744 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.744 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.762 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.762 * [taylor]: Taking taylor expansion of 1/3 in y 0.762 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.764 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.764 * [taylor]: Taking taylor expansion of 1/3 in x 0.764 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.765 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.765 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.765 * [taylor]: Taking taylor expansion of 1/3 in x 0.765 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.767 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.767 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.767 * [taylor]: Taking taylor expansion of -2/3 in y 0.767 * [taylor]: Taking taylor expansion of (log x) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.775 * [taylor]: Taking taylor expansion of 1/3 in y 0.775 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.775 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.775 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.775 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.775 * [taylor]: Taking taylor expansion of 1/3 in y 0.775 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.791 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.791 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.791 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.791 * [taylor]: Taking taylor expansion of 1/3 in y 0.791 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.792 * [taylor]: Taking taylor expansion of x in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.793 * [taylor]: Taking taylor expansion of 1/3 in x 0.793 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.795 * [taylor]: Taking taylor expansion of 1/3 in x 0.795 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.796 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.796 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.796 * [taylor]: Taking taylor expansion of -2/3 in y 0.796 * [taylor]: Taking taylor expansion of (log x) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.807 * [taylor]: Taking taylor expansion of 1/3 in y 0.807 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.807 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.807 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.807 * [taylor]: Taking taylor expansion of 1/3 in y 0.807 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.824 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.824 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0 0.824 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y 0.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y 0.824 * [taylor]: Taking taylor expansion of 1/3 in y 0.824 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.824 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.824 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.824 * [taylor]: Taking taylor expansion of 1/3 in x 0.824 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.824 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x 0.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x 0.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x 0.825 * [taylor]: Taking taylor expansion of 1/3 in x 0.825 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.825 * [taylor]: Taking taylor expansion of 1/3 in y 0.825 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.828 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y 0.833 * [taylor]: Taking taylor expansion of 1/3 in y 0.833 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y 0.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y 0.833 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y 0.833 * [taylor]: Taking taylor expansion of 1/3 in y 0.833 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.851 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.851 * [taylor]: Taking taylor expansion of 1/3 in y 0.851 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.851 * [taylor]: Taking taylor expansion of x in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.853 * [taylor]: Taking taylor expansion of 1/3 in x 0.853 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.854 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.854 * [taylor]: Taking taylor expansion of 1/3 in x 0.854 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.856 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.856 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.856 * [taylor]: Taking taylor expansion of -2/3 in y 0.856 * [taylor]: Taking taylor expansion of (log x) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.864 * [taylor]: Taking taylor expansion of 1/3 in y 0.864 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.864 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.864 * [taylor]: Taking taylor expansion of 1/3 in y 0.864 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.881 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0 0.881 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y 0.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.881 * [taylor]: Taking taylor expansion of 1/3 in y 0.881 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.883 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.883 * [taylor]: Taking taylor expansion of 1/3 in x 0.883 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x 0.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.887 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.887 * [taylor]: Taking taylor expansion of 1/3 in x 0.887 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (pow x -2/3) in y 0.888 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y 0.888 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y 0.888 * [taylor]: Taking taylor expansion of -2/3 in y 0.888 * [taylor]: Taking taylor expansion of (log x) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y 0.896 * [taylor]: Taking taylor expansion of 1/3 in y 0.896 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y 0.896 * [taylor]: Taking taylor expansion of 1/3 in y 0.896 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.912 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.913 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.914 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.916 * [taylor]: Taking taylor expansion of 1/2 in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.921 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of 1 in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of 1/2 in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 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 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of 1 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.941 * [taylor]: Taking taylor expansion of 1/2 in y 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.945 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.946 * [approximate]: Taking taylor expansion of (* (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) in (x y) around 0 0.946 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) in y 0.946 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in y 0.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in y 0.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in y 0.946 * [taylor]: Taking taylor expansion of 1/3 in y 0.946 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in y 0.946 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow x 2) (pow y 2)) 1/3)) in y 0.946 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) in x 0.946 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in x 0.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in x 0.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in x 0.947 * [taylor]: Taking taylor expansion of 1/3 in x 0.947 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in x 0.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow x 2) (pow y 2)) 1/3)) in x 0.947 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) in x 0.947 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 2) 1/3) in x 0.947 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2)))) in x 0.947 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (pow x 2) (pow y 2)) 2))) in x 0.947 * [taylor]: Taking taylor expansion of 1/3 in x 0.947 * [taylor]: Taking taylor expansion of (log (pow (+ (pow x 2) (pow y 2)) 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 2) in x 0.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.948 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow x 2) (pow y 2)) 1/3)) in x 0.948 * [taylor]: Taking taylor expansion of (* (pow (pow y 4) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) in y 0.948 * [taylor]: Taking taylor expansion of (pow (pow y 4) 1/3) in y 0.948 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 4)))) in y 0.948 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 4))) in y 0.948 * [taylor]: Taking taylor expansion of 1/3 in y 0.948 * [taylor]: Taking taylor expansion of (log (pow y 4)) in y 0.948 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow x 2) (pow y 2)) 1/3)) in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow y 2)) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3)))) in y 0.958 * [taylor]: Taking taylor expansion of 2/3 in y 0.958 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow y 2)) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) in y 0.958 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.958 * [taylor]: Taking taylor expansion of 1/3 in y 0.958 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (fabs (pow (+ (pow x 2) (pow y 2)) 1/3)) in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.983 * [approximate]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in (x y) around 0 0.983 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in y 0.984 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in y 0.984 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in y 0.984 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in y 0.984 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in y 0.984 * [taylor]: Taking taylor expansion of 1/3 in y 0.984 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.986 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in x 0.986 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in x 0.986 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 0.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 0.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 0.986 * [taylor]: Taking taylor expansion of 1/3 in x 0.986 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in x 0.988 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in x 0.988 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 0.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 0.988 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 0.988 * [taylor]: Taking taylor expansion of 1/3 in x 0.988 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3))) in y 0.990 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 0.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 0.990 * [taylor]: Taking taylor expansion of 1/3 in y 0.990 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.990 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow y 2)))) in y 1.001 * [taylor]: Taking taylor expansion of 2/3 in y 1.001 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow y 2))) in y 1.001 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 1.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 1.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 1.001 * [taylor]: Taking taylor expansion of 1/3 in y 1.001 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.001 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.001 * [taylor]: Taking taylor expansion of x in y 1.001 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow y 2)) in y 1.001 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in y 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [approximate]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in (x y) around 0 1.023 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in y 1.023 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in y 1.024 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in y 1.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in y 1.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in y 1.024 * [taylor]: Taking taylor expansion of 1/3 in y 1.024 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in y 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.024 * [taylor]: Taking taylor expansion of x in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in x 1.025 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in x 1.026 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 1.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 1.026 * [taylor]: Taking taylor expansion of 1/3 in x 1.026 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [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 1.027 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3)) in x 1.028 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in x 1.028 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) 1/3) in x 1.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)))) in x 1.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2))) in x 1.028 * [taylor]: Taking taylor expansion of 1/3 in x 1.028 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2) in x 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3))) in y 1.030 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 1.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 1.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 1.030 * [taylor]: Taking taylor expansion of 1/3 in y 1.030 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.030 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.030 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in y 1.034 * [taylor]: Taking taylor expansion of 0 in y 1.041 * [taylor]: Taking taylor expansion of (* 2/3 (* (pow (/ 1 (pow x 4)) 1/3) (/ (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow y 2)))) in y 1.041 * [taylor]: Taking taylor expansion of 2/3 in y 1.041 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 4)) 1/3) (/ (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow y 2))) in y 1.041 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in y 1.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in y 1.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in y 1.041 * [taylor]: Taking taylor expansion of 1/3 in y 1.041 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 1.041 * [taylor]: Taking taylor expansion of (pow x 4) in y 1.041 * [taylor]: Taking taylor expansion of x in y 1.041 * [taylor]: Taking taylor expansion of (/ (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) (pow y 2)) in y 1.041 * [taylor]: Taking taylor expansion of (fabs (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)) in y 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.065 * [taylor]: Taking taylor expansion of 0 in y 1.066 * * * [progress]: simplifying candidates 1.067 * [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 (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)))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (+ (+ (log (fabs (cbrt (+ (* x x) (* y y))))) (log (sqrt (+ (* x x) (* y y))))) (log (sqrt (cbrt (+ (* x x) (* y y)))))) (+ (log (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (log (sqrt (cbrt (+ (* x x) (* y y)))))) (log (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (exp (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (* (* (fabs (cbrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y))))) (fabs (cbrt (+ (* 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)))) (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (cbrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (cbrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))))) (cbrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (sqrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (sqrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (- (* x x) (* y y))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (- (* x x) (* y y))) (sqrt (cbrt (- (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt 1))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt 1)) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) 1) (* (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (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) y x (* -1 x) (+ (* (pow (pow y 4) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) (* 2/3 (* (* (pow x 2) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) (pow (/ 1 (pow y 2)) 1/3)))) (* (pow (pow x 4) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) (* (pow (pow x 4) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) 1.073 * * [simplify]: iteration 0 : 343 enodes (cost 1073 ) 1.080 * * [simplify]: iteration 1 : 1458 enodes (cost 992 ) 1.103 * * [simplify]: iteration 2 : 5001 enodes (cost 985 ) 1.107 * [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)))) (cbrt 1) (pow (+ (pow x 2) (pow y 2)) 1/3) (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) 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(cbrt (+ (* x x) (* y y)))))) (pow (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) 3) (pow (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) 3) (* (cbrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (cbrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))))) (cbrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (pow (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y))))) 3) (sqrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (sqrt (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (cbrt (- (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (- (* x x) (* y y))) (sqrt (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (- (* x x) (* y y))) (sqrt (cbrt (- (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (cbrt (+ (* x x) (* y y))))) (cbrt (sqrt (cbrt (+ (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (sqrt (+ (* x x) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (fabs (cbrt (cbrt (+ (* x x) (* y y))))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (cbrt (+ (* x x) (* y y)))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (cbrt (+ (* x x) (* y y))))) (* (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (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) y x (* -1 x) (+ (* (pow (pow y 4) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) (* 2/3 (* (* (pow x 2) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) (pow (/ 1 (pow y 2)) 1/3)))) (* (pow (pow x 4) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) (* (pow (pow x 4) 1/3) (fabs (pow (+ (pow x 2) (pow y 2)) 1/3))) 1.108 * * * [progress]: adding candidates to table 1.350 * * [progress]: iteration 4 / 4 1.350 * * * [progress]: picking best candidate 1.352 * * * * [pick]: Picked # 1.352 * * * [progress]: localizing error 1.362 * * * [progress]: generating rewritten candidates 1.362 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.371 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.415 * * * [progress]: generating series expansions 1.415 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.415 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.416 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.416 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.417 * [taylor]: Taking taylor expansion of y in x 1.418 * [taylor]: Taking taylor expansion of y in y 1.418 * [taylor]: Taking taylor expansion of 0 in y 1.419 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.419 * [taylor]: Taking taylor expansion of 1/2 in y 1.419 * [taylor]: Taking taylor expansion of y in y 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.422 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.422 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.422 * [taylor]: Taking taylor expansion of x in y 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.425 * [taylor]: Taking taylor expansion of y in x 1.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.427 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of 1 in y 1.429 * [taylor]: Taking taylor expansion of 0 in y 1.431 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.431 * [taylor]: Taking taylor expansion of 1/2 in y 1.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.431 * [taylor]: Taking taylor expansion of y in y 1.434 * [taylor]: Taking taylor expansion of 0 in y 1.436 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.436 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.436 * [taylor]: Taking taylor expansion of x in y 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.436 * [taylor]: Taking taylor expansion of y in y 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.439 * [taylor]: Taking taylor expansion of y in x 1.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.442 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of 1 in y 1.444 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.445 * [taylor]: Taking taylor expansion of 1/2 in y 1.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.446 * [taylor]: Taking taylor expansion of y in y 1.449 * [taylor]: Taking taylor expansion of 0 in y 1.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.450 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.450 * [taylor]: Taking taylor expansion of x in y 1.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.450 * [taylor]: Taking taylor expansion of y in y 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.451 * [taylor]: Taking taylor expansion of y in x 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.451 * [taylor]: Taking taylor expansion of y in x 1.452 * [taylor]: Taking taylor expansion of y in y 1.452 * [taylor]: Taking taylor expansion of 0 in y 1.453 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.453 * [taylor]: Taking taylor expansion of 1/2 in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.459 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.459 * [taylor]: Taking taylor expansion of x in y 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.459 * [taylor]: Taking taylor expansion of y in y 1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.462 * [taylor]: Taking taylor expansion of y in x 1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.464 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.464 * [taylor]: Taking taylor expansion of y in x 1.466 * [taylor]: Taking taylor expansion of 1 in y 1.466 * [taylor]: Taking taylor expansion of 0 in y 1.468 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.468 * [taylor]: Taking taylor expansion of 1/2 in y 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.471 * [taylor]: Taking taylor expansion of 0 in y 1.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.473 * [taylor]: Taking taylor expansion of x in y 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.473 * [taylor]: Taking taylor expansion of y in y 1.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.476 * [taylor]: Taking taylor expansion of y in x 1.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.478 * [taylor]: Taking taylor expansion of y in x 1.480 * [taylor]: Taking taylor expansion of 1 in y 1.480 * [taylor]: Taking taylor expansion of 0 in y 1.482 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.482 * [taylor]: Taking taylor expansion of 1/2 in y 1.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.482 * [taylor]: Taking taylor expansion of y in y 1.485 * [taylor]: Taking taylor expansion of 0 in y 1.487 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.487 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.487 * [taylor]: Taking taylor expansion of x in y 1.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.487 * [taylor]: Taking taylor expansion of y in y 1.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.488 * [taylor]: Taking taylor expansion of y in x 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.488 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.488 * [taylor]: Taking taylor expansion of y in x 1.489 * [taylor]: Taking taylor expansion of y in y 1.489 * [taylor]: Taking taylor expansion of 0 in y 1.490 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.490 * [taylor]: Taking taylor expansion of 1/2 in y 1.490 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of 0 in y 1.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.493 * [taylor]: Taking taylor expansion of x in y 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.493 * [taylor]: Taking taylor expansion of y in y 1.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.496 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.498 * [taylor]: Taking taylor expansion of y in x 1.501 * [taylor]: Taking taylor expansion of 1 in y 1.501 * [taylor]: Taking taylor expansion of 0 in y 1.502 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.502 * [taylor]: Taking taylor expansion of 1/2 in y 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.503 * [taylor]: Taking taylor expansion of y in y 1.506 * [taylor]: Taking taylor expansion of 0 in y 1.507 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.507 * [taylor]: Taking taylor expansion of x in y 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.510 * [taylor]: Taking taylor expansion of y in x 1.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.513 * [taylor]: Taking taylor expansion of y in x 1.515 * [taylor]: Taking taylor expansion of 1 in y 1.515 * [taylor]: Taking taylor expansion of 0 in y 1.516 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.516 * [taylor]: Taking taylor expansion of 1/2 in y 1.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.520 * [taylor]: Taking taylor expansion of 0 in y 1.521 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.521 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.521 * [taylor]: Taking taylor expansion of x in y 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.521 * [taylor]: Taking taylor expansion of y in y 1.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.521 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.521 * [taylor]: Taking taylor expansion of y in x 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.521 * [taylor]: Taking taylor expansion of y in y 1.522 * [taylor]: Taking taylor expansion of 0 in y 1.523 * [taylor]: Taking taylor expansion of 1 in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.526 * [taylor]: Taking taylor expansion of 0 in y 1.526 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.526 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.528 * [taylor]: Taking taylor expansion of y in x 1.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.529 * [taylor]: Taking taylor expansion of y in x 1.529 * [taylor]: Taking taylor expansion of 1 in y 1.530 * [taylor]: Taking taylor expansion of 0 in y 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.531 * [taylor]: Taking taylor expansion of y in y 1.533 * [taylor]: Taking taylor expansion of 0 in y 1.536 * [taylor]: Taking taylor expansion of 0 in y 1.540 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.540 * [taylor]: Taking taylor expansion of x in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.541 * [taylor]: Taking taylor expansion of y in x 1.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.541 * [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 1.542 * [taylor]: Taking taylor expansion of 1 in y 1.543 * [taylor]: Taking taylor expansion of 0 in y 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.545 * [taylor]: Taking taylor expansion of y in y 1.546 * [taylor]: Taking taylor expansion of 0 in y 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.550 * * * [progress]: simplifying candidates 1.552 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (exp (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* 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 1) 3)) (cbrt (pow (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 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) 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(sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) y x (* -1 x) 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)) 1.560 * * [simplify]: iteration 0 : 290 enodes (cost 1246 ) 1.565 * * [simplify]: iteration 1 : 1150 enodes (cost 950 ) 1.592 * * [simplify]: iteration 2 : 5001 enodes (cost 930 ) 1.597 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))) (fabs 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(sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (+ (* 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))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.598 * * * [progress]: adding candidates to table 1.838 * [progress]: [Phase 3 of 3] Extracting. 1.838 * * [regime]: Finding splitpoints for: (# # # #) 1.838 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 1.838 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.852 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.869 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 1.884 * * * * [regimes]: Trying to branch on y from (# # # #) 1.902 * * * * [regimes]: Trying to branch on x from (# # # #) 1.917 * * * [regime]: Found split indices: #