3.680 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.022 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 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 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.057 * * * [progress]: simplifying candidates 0.058 * [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)) 0.061 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.064 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.070 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.099 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.100 * [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)) 0.100 * * * [progress]: adding candidates to table 0.127 * * [progress]: iteration 2 / 4 0.127 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.128 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.139 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.142 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.160 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.169 * [taylor]: Taking taylor expansion of 1/2 in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of 1/2 in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of 1/2 in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.202 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.205 * [taylor]: Taking taylor expansion of 1/2 in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.207 * [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 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [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 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of 1/2 in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.235 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.235 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of 0 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 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.260 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.260 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.278 * [taylor]: Taking taylor expansion of x 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 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.288 * * * [progress]: simplifying candidates 0.289 * [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)) 0.295 * * [simplify]: iteration 0 : 198 enodes (cost 726 ) 0.299 * * [simplify]: iteration 1 : 930 enodes (cost 654 ) 0.319 * * [simplify]: iteration 2 : 4795 enodes (cost 634 ) 0.490 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.493 * [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)) 0.493 * * * [progress]: adding candidates to table 0.667 * * [progress]: iteration 3 / 4 0.667 * * * [progress]: picking best candidate 0.669 * * * * [pick]: Picked # 0.669 * * * [progress]: localizing error 0.680 * * * [progress]: generating rewritten candidates 0.680 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.684 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.687 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.690 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.719 * * * [progress]: generating series expansions 0.719 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.720 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.720 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.723 * [taylor]: Taking taylor expansion of 1/2 in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.726 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of 1 in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of 1/2 in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.747 * [taylor]: Taking taylor expansion of 1 in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.749 * [taylor]: Taking taylor expansion of 1/2 in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.757 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.757 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.757 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.757 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.759 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of 0 in y 0.760 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.760 * [taylor]: Taking taylor expansion of 1/2 in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.763 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.769 * [taylor]: Taking taylor expansion of y in x 0.770 * [taylor]: Taking taylor expansion of 1 in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.772 * [taylor]: Taking taylor expansion of 1/2 in y 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.777 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of 1 in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.786 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of 1/2 in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.790 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.790 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.790 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.790 * [taylor]: Taking taylor expansion of x in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.791 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.794 * [taylor]: Taking taylor expansion of 1/2 in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.799 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of 1 in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.806 * [taylor]: Taking taylor expansion of 1/2 in y 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.806 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of 1 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of 1/2 in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.824 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.824 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.824 * [taylor]: Taking taylor expansion of (sqrt (+ (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 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ (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 (sqrt (+ (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 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.827 * [taylor]: Taking taylor expansion of 1/2 in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.830 * [taylor]: Taking taylor expansion of x in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of 1 in y 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of 1/2 in y 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.852 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of 1 in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.856 * [taylor]: Taking taylor expansion of 1/2 in y 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.860 * * * [progress]: simplifying candidates 0.862 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* 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y))))) (* (sqrt (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 (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 (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (* x x) (* y y))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 0.869 * * [simplify]: iteration 0 : 210 enodes (cost 990 ) 0.873 * * [simplify]: iteration 1 : 774 enodes (cost 923 ) 0.894 * * [simplify]: iteration 2 : 4457 enodes (cost 902 ) 1.067 * * [simplify]: iteration 3 : 5001 enodes (cost 875 ) 1.071 * [simplify]: Simplified 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adding candidates to table 1.318 * [progress]: [Phase 3 of 3] Extracting. 1.318 * * [regime]: Finding splitpoints for: (# #) 1.318 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 1.318 * * * * [regimes]: Trying to branch on (* y y) from (# #) 1.328 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.338 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 1.349 * * * * [regimes]: Trying to branch on y from (# #) 1.362 * * * * [regimes]: Trying to branch on x from (# #) 1.373 * * * [regime]: Found split indices: #