10.284 * [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)) 0.023 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x 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 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.067 * * * [progress]: simplifying candidates 0.068 * [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)) 0.071 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.074 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.082 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.115 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.116 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.116 * * * [progress]: adding candidates to table 0.139 * * [progress]: iteration 2 / 4 0.140 * * * [progress]: picking best candidate 0.143 * * * * [pick]: Picked # 0.143 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.176 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.178 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.180 * [taylor]: Taking taylor expansion of 1/2 in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.192 * [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 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of 1/2 in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.206 * [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 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [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 1 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of 1/2 in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.219 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.219 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.223 * [taylor]: Taking taylor expansion of 1/2 in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of 1 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of 1/2 in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.252 * [taylor]: Taking taylor expansion of 1/2 in y 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.257 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.282 * [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 0.290 * [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 0.297 * [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 (pow x 2)) (/ 1 (pow y 2))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.318 * * * [progress]: simplifying candidates 0.320 * [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)) 0.326 * * [simplify]: iteration 0 : 198 enodes (cost 720 ) 0.333 * * [simplify]: iteration 1 : 892 enodes (cost 654 ) 0.359 * * [simplify]: iteration 2 : 4767 enodes (cost 634 ) 0.533 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.537 * [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)) 0.538 * * * [progress]: adding candidates to table 0.695 * * [progress]: iteration 3 / 4 0.695 * * * [progress]: picking best candidate 0.700 * * * * [pick]: Picked # 0.700 * * * [progress]: localizing error 0.710 * * * [progress]: generating rewritten candidates 0.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.718 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.722 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.725 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.746 * * * [progress]: generating series expansions 0.746 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.746 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.746 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.746 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.746 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.746 * [taylor]: Taking taylor expansion of x in y 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.747 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.747 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.748 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.750 * [taylor]: Taking taylor expansion of 1/2 in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.752 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of 1 in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.763 * [taylor]: Taking taylor expansion of 1/2 in y 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.767 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.770 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.771 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.773 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of 1 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.777 * [taylor]: Taking taylor expansion of 1/2 in y 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of 0 in y 0.782 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.782 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.782 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.782 * [taylor]: Taking taylor expansion of x in y 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.785 * [taylor]: Taking taylor expansion of 1/2 in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.788 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.788 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.788 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [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 (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of 1 in y 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of 1/2 in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.806 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.806 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.806 * [taylor]: Taking taylor expansion of x in y 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of 1 in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.816 * [taylor]: Taking taylor expansion of 1/2 in y 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.821 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.821 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.825 * [taylor]: Taking taylor expansion of 1/2 in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.827 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.836 * [taylor]: Taking taylor expansion of 1 in y 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of 1/2 in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.847 * [taylor]: Taking taylor expansion of y in x 0.849 * [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 1 in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.854 * [taylor]: Taking taylor expansion of 1/2 in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.858 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.859 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.859 * [taylor]: Taking taylor expansion of x in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of 1 in y 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of 1 in y 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.876 * [taylor]: Taking taylor expansion of x in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of 1 in y 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.887 * * * [progress]: simplifying candidates 0.889 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (exp (cbrt (pow (sqrt (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (* (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x 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(sqrt (+ (* x x) (* y y))) 3/2))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (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)))) 5) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (* (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 (+ (* x x) (* y y))) (cbrt (sqrt (pow (sqrt (+ (* x x) (* y y))) 3)))) (sqrt (+ (* x x) (* y y))) (* (sqrt (+ (* x x) (* y y))) (cbrt (pow (sqrt (+ (* x x) (* y y))) 3/2))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 5) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (+ (* x x) (* y y))) (sqrt (cbrt (+ (* x x) (* y y))))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.941 * * * [progress]: adding candidates to table 1.162 * * [progress]: iteration 4 / 4 1.162 * * * [progress]: picking best candidate 1.165 * * * * [pick]: Picked # 1.165 * * * [progress]: localizing error 1.174 * * * [progress]: generating rewritten candidates 1.174 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.183 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.192 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.201 * * * [progress]: generating series expansions 1.201 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.201 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.202 * [taylor]: Taking taylor expansion of y in x 1.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.202 * [taylor]: Taking taylor expansion of y in x 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of 0 in y 1.204 * [taylor]: Taking taylor expansion of 1 in y 1.205 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.208 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.208 * [taylor]: Taking taylor expansion of x in y 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.208 * [taylor]: Taking taylor expansion of y in y 1.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.209 * [taylor]: Taking taylor expansion of y in x 1.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.210 * [taylor]: Taking taylor expansion of y in x 1.210 * [taylor]: Taking taylor expansion of 1 in y 1.211 * [taylor]: Taking taylor expansion of 0 in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.215 * [taylor]: Taking taylor expansion of 0 in y 1.218 * [taylor]: Taking taylor expansion of 0 in y 1.220 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.221 * [taylor]: Taking taylor expansion of y in x 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.222 * [taylor]: Taking taylor expansion of y in x 1.222 * [taylor]: Taking taylor expansion of 1 in y 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.227 * [taylor]: Taking taylor expansion of 0 in y 1.230 * [taylor]: Taking taylor expansion of 0 in y 1.231 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.231 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in (x y) around 0 1.231 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in y 1.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.231 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.231 * [taylor]: Taking taylor expansion of x in y 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.231 * [taylor]: Taking taylor expansion of y in y 1.232 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in x 1.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.232 * [taylor]: Taking taylor expansion of y in x 1.232 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in x 1.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.232 * [taylor]: Taking taylor expansion of y in x 1.232 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of 0 in y 1.238 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 1.238 * [taylor]: Taking taylor expansion of 3 in y 1.238 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.238 * [taylor]: Taking taylor expansion of y in y 1.240 * [taylor]: Taking taylor expansion of 0 in y 1.244 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.244 * [taylor]: Taking taylor expansion of 3 in y 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in (x y) around 0 1.244 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in y 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.244 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.244 * [taylor]: Taking taylor expansion of x in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.246 * [taylor]: Taking taylor expansion of y in x 1.246 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of 1 in y 1.249 * [taylor]: Taking taylor expansion of 0 in y 1.251 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.251 * [taylor]: Taking taylor expansion of 3 in y 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.251 * [taylor]: Taking taylor expansion of y in y 1.255 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.259 * [taylor]: Taking taylor expansion of 3 in y 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.259 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of 0 in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.269 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.272 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in (x y) around 0 1.272 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in y 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.272 * [taylor]: Taking taylor expansion of x in y 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.272 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.273 * [taylor]: Taking taylor expansion of y in x 1.274 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.275 * [taylor]: Taking taylor expansion of 1 in y 1.277 * [taylor]: Taking taylor expansion of 0 in y 1.279 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.279 * [taylor]: Taking taylor expansion of 3 in y 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.279 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of 0 in y 1.286 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 1.286 * [taylor]: Taking taylor expansion of 3 in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.286 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.291 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 1.296 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.298 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.299 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.299 * [taylor]: Taking taylor expansion of x in y 1.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.299 * [taylor]: Taking taylor expansion of y in x 1.299 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.299 * [taylor]: Taking taylor expansion of y in x 1.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [taylor]: Taking taylor expansion of 0 in y 1.300 * [taylor]: Taking taylor expansion of 1 in y 1.302 * [taylor]: Taking taylor expansion of 0 in y 1.303 * [taylor]: Taking taylor expansion of 0 in y 1.304 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.304 * [taylor]: Taking taylor expansion of x in y 1.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.305 * [taylor]: Taking taylor expansion of y in x 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.306 * [taylor]: Taking taylor expansion of 1 in y 1.307 * [taylor]: Taking taylor expansion of 0 in y 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.309 * [taylor]: Taking taylor expansion of y in y 1.310 * [taylor]: Taking taylor expansion of 0 in y 1.313 * [taylor]: Taking taylor expansion of 0 in y 1.315 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.315 * [taylor]: Taking taylor expansion of x in y 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.315 * [taylor]: Taking taylor expansion of y in y 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.316 * [taylor]: Taking taylor expansion of y in x 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.317 * [taylor]: Taking taylor expansion of y in x 1.317 * [taylor]: Taking taylor expansion of 1 in y 1.318 * [taylor]: Taking taylor expansion of 0 in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.320 * [taylor]: Taking taylor expansion of y in y 1.321 * [taylor]: Taking taylor expansion of 0 in y 1.327 * [taylor]: Taking taylor expansion of 0 in y 1.328 * * * [progress]: simplifying candidates 1.329 * [simplify]: Simplifying using # : (log (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (exp (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt (pow (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 3)) (cbrt (pow (cbrt (+ (pow x 2) (pow y 2))) 3)) (cbrt (pow (sqrt (+ (pow x 2) (pow y 2))) 3)) (cbrt (pow (sqrt (+ (pow x 2) (pow y 2))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow (pow 1 2) 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (cbrt (* (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)))) (cbrt (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt (pow (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 3)) (cbrt (pow (cbrt (+ (pow x 2) (pow y 2))) 3)) (cbrt (pow (sqrt (+ (pow x 2) (pow y 2))) 3)) (cbrt (pow (sqrt (+ (pow x 2) (pow y 2))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow (pow 1 2) 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (+ (pow x 2) (pow y 2))) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (sqrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt (sqrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt 1) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) (/ 3 2))) (cbrt (pow (+ (pow x 2) (pow y 2)) (/ 3 2))) (cbrt (pow (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) 3)) (cbrt (pow (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) 3)) (cbrt (pow (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) 3)) (cbrt (pow (- (pow x 2) (pow y 2)) 3)) (* (cbrt (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt (cbrt (pow (+ (pow x 2) (pow y 2)) 3)))) (cbrt (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (* (* (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (sqrt (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (sqrt (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (* (log (+ (pow x 2) (pow y 2))) 3) (* (log (+ (pow x 2) (pow y 2))) 3) (* 1 3) (pow (+ (pow x 2) (pow y 2)) (* (cbrt 3) (cbrt 3))) (pow (+ (pow x 2) (pow y 2)) (sqrt 3)) (pow (+ (pow x 2) (pow y 2)) 1) (pow (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 3) (pow (cbrt (+ (pow x 2) (pow y 2))) 3) (pow (sqrt (+ (pow x 2) (pow y 2))) 3) (pow (sqrt (+ (pow x 2) (pow y 2))) 3) (pow 1 3) (pow (+ (pow x 2) (pow y 2)) 3) (pow (pow 1 2) 3) (pow (+ (pow x 2) (pow y 2)) 3) (pow 1 3) (pow (+ (pow x 2) (pow y 2)) 3) (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (log (pow (+ (pow x 2) (pow y 2)) 3)) (exp (pow (+ (pow x 2) (pow y 2)) 3)) (* (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (cbrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt (pow (+ (pow x 2) (pow y 2)) 3)) (* (* (pow (+ (pow x 2) (pow y 2)) 3) (pow (+ (pow x 2) (pow y 2)) 3)) (pow (+ (pow x 2) (pow y 2)) 3)) (pow (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 3) (pow (cbrt (+ (pow x 2) (pow y 2))) 3) (pow (sqrt (+ (pow x 2) (pow y 2))) 3) (pow (sqrt (+ (pow x 2) (pow y 2))) 3) (pow 1 3) (pow (+ (pow x 2) (pow y 2)) 3) (pow (pow 1 2) 3) (pow (+ (pow x 2) (pow y 2)) 3) (pow 1 3) (pow (+ (pow x 2) (pow y 2)) 3) (pow (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) 3) (pow (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) 3) (pow (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) 3) (pow (- (pow x 2) (pow y 2)) 3) (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (sqrt (pow (+ (pow x 2) (pow y 2)) 3)) (sqrt (pow (+ (pow x 2) (pow y 2)) 3)) (pow (+ (pow x 2) (pow y 2)) (/ 3 2)) (pow (+ (pow x 2) (pow y 2)) (/ 3 2)) (* (exp (pow x 2)) (exp (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 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)) (+ (pow x 2) (pow y 2)) 0 (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2))))) (+ (* 3 (* (pow x 2) (pow y 4))) (+ (pow y 6) (* 3 (* (pow x 4) (pow y 2))))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.335 * * [simplify]: iteration 0 : 223 enodes (cost 451 ) 1.340 * * [simplify]: iteration 1 : 1200 enodes (cost 423 ) 1.370 * * [simplify]: iteration 2 : 5001 enodes (cost 415 ) 1.374 * [simplify]: Simplified to: (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) 1 (+ (pow x 2) (pow y 2)) 1 (+ (pow x 2) (pow y 2)) 1 (+ (pow x 2) (pow y 2)) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) 1 (+ (pow x 2) (pow y 2)) 1 (+ (pow x 2) (pow y 2)) 1 (+ (pow x 2) (pow y 2)) (cbrt (+ (pow x 2) (pow y 2))) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (sqrt (pow (+ (pow x 2) (pow y 2)) 3))) (cbrt (sqrt (pow (+ (pow x 2) (pow y 2)) 3))) 1 (+ (pow x 2) (pow y 2)) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (- (pow x 4) (pow y 4)) (- (pow x 2) (pow y 2)) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (log (pow (+ (pow x 2) (pow y 2)) 3)) (log (pow (+ (pow x 2) (pow y 2)) 3)) 3 (pow (+ (pow x 2) (pow y 2)) (* (cbrt 3) (cbrt 3))) (pow (+ (pow x 2) (pow y 2)) (sqrt 3)) (+ (pow x 2) (pow y 2)) (pow (+ (pow x 2) (pow y 2)) 2) (+ (pow x 2) (pow y 2)) (pow (+ (pow x 2) (pow y 2)) 3/2) (pow (+ (pow x 2) (pow y 2)) 3/2) 1 (pow (+ (pow x 2) (pow y 2)) 3) 1 (pow (+ (pow x 2) (pow y 2)) 3) 1 (pow (+ (pow x 2) (pow y 2)) 3) (pow (+ (pow x 2) (pow y 2)) 2) (log (pow (+ (pow x 2) (pow y 2)) 3)) (exp (pow (+ (pow x 2) (pow y 2)) 3)) (pow (+ (pow x 2) (pow y 2)) 2) (+ (pow x 2) (pow y 2)) (pow (pow (+ (pow x 2) (pow y 2)) 3) 3) (pow (+ (pow x 2) (pow y 2)) 2) (+ (pow x 2) (pow y 2)) (pow (+ (pow x 2) (pow y 2)) 3/2) (pow (+ (pow x 2) (pow y 2)) 3/2) 1 (pow (+ (pow x 2) (pow y 2)) 3) 1 (pow (+ (pow x 2) (pow y 2)) 3) 1 (pow (+ (pow x 2) (pow y 2)) 3) (pow (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) 3) (pow (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) 3) (pow (+ (pow x 4) (- (pow y 4))) 3) (pow (- (pow x 2) (pow y 2)) 3) (pow (+ (pow x 2) (pow y 2)) 2) (sqrt (pow (+ (pow x 2) (pow y 2)) 3)) (sqrt (pow (+ (pow x 2) (pow y 2)) 3)) (pow (+ (pow x 2) (pow y 2)) 3/2) (pow (+ (pow x 2) (pow y 2)) 3/2) (exp (+ (pow x 2) (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (cbrt (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (- (pow x 4) (pow y 4)) (- (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 (+ (* 3 (* (pow x 2) (* (pow y 2) (+ (pow x 2) (pow y 2))))) (pow y 6)) (+ (* 3 (* (pow x 2) (* (pow y 2) (+ (pow x 2) (pow y 2))))) (pow y 6)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.374 * * * [progress]: adding candidates to table 1.491 * [progress]: [Phase 3 of 3] Extracting. 1.491 * * [regime]: Finding splitpoints for: (# # # #) 1.491 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 1.491 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 1.509 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.524 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 1.540 * * * * [regimes]: Trying to branch on y from (# # # #) 1.559 * * * * [regimes]: Trying to branch on x from (# # # #) 1.575 * * * [regime]: Found split indices: #