14.297 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [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 ) 0.023 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [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 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [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 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * * * [progress]: simplifying candidates 0.062 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.065 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.068 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.077 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.121 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.123 * [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))) (+ (* (neg (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)) 0.123 * * * [progress]: adding candidates to table 0.158 * * [progress]: iteration 2 / 4 0.158 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.167 * * * [progress]: generating rewritten candidates 0.167 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.170 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.174 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.192 * * * [progress]: generating series expansions 0.192 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.192 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.195 * [taylor]: Taking taylor expansion of 1/2 in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of 1/2 in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of 1/2 in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.228 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.231 * [taylor]: Taking taylor expansion of 1/2 in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of 1/2 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 0 in y 0.248 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [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 0.251 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of 1/2 in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.261 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.262 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 1 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.268 * [taylor]: Taking taylor expansion of y in x 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 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of 1 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.290 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.290 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 1 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.315 * * * [progress]: simplifying candidates 0.317 * [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)) 0.323 * * [simplify]: iteration 0 : 198 enodes (cost 720 ) 0.327 * * [simplify]: iteration 1 : 892 enodes (cost 654 ) 0.348 * * [simplify]: iteration 2 : 4766 enodes (cost 634 ) 0.518 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.522 * [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)))) (+ (* (neg (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))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.523 * * * [progress]: adding candidates to table 0.665 * [progress]: [Phase 3 of 3] Extracting. 0.665 * * [regime]: Finding splitpoints for: (# #) 0.665 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 0.665 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.677 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.687 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.697 * * * * [regimes]: Trying to branch on y from (# #) 0.709 * * * * [regimes]: Trying to branch on x from (# #) 0.719 * * * [regime]: Found split indices: #