24.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.021 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * * * [progress]: simplifying candidates 0.058 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.061 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.064 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.070 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.098 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.099 * [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)) 0.099 * * * [progress]: adding candidates to table 0.122 * * [progress]: iteration 2 / 4 0.122 * * * [progress]: picking best candidate 0.124 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.141 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.149 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.158 * * * [progress]: generating series expansions 0.158 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.159 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of 1 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.188 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.188 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in y 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in x 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 3) in x 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of (* 3 (pow y 4)) in y 0.191 * [taylor]: Taking taylor expansion of 3 in y 0.191 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of 3 in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in y 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.204 * [taylor]: Taking taylor expansion of 3 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 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 0.212 * [taylor]: Taking taylor expansion of 3 in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.225 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.225 * [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 0.226 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 3) in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of 3 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 0.240 * [taylor]: Taking taylor expansion of 3 in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.253 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.253 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.283 * * * [progress]: simplifying candidates 0.284 * [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)) 0.290 * * [simplify]: iteration 0 : 223 enodes (cost 451 ) 0.296 * * [simplify]: iteration 1 : 1200 enodes (cost 423 ) 0.323 * * [simplify]: iteration 2 : 5001 enodes (cost 415 ) 0.326 * [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)) 0.326 * * * [progress]: adding candidates to table 0.439 * [progress]: [Phase 3 of 3] Extracting. 0.439 * * [regime]: Finding splitpoints for: (# #) 0.439 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 0.439 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.452 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.462 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# #) 0.474 * * * * [regimes]: Trying to branch on y from (# #) 0.487 * * * * [regimes]: Trying to branch on x from (# #) 0.498 * * * [regime]: Found split indices: #