6.818 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.029 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.030 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.030 * [simplify]: Simplified to: (+ (* x x) (* y y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.061 * [taylor]: Taking taylor expansion of x 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 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.073 * * * [progress]: simplifying candidates 0.074 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.076 * * [simplify]: iteration 0 : 101 enodes (cost 77 ) 0.080 * * [simplify]: iteration 1 : 465 enodes (cost 66 ) 0.087 * * [simplify]: iteration 2 : 1240 enodes (cost 66 ) 0.121 * * [simplify]: iteration 3 : 5001 enodes (cost 66 ) 0.122 * [simplify]: Simplified to: (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.122 * * * [progress]: adding candidates to table 0.166 * * [progress]: iteration 2 / 4 0.166 * * * [progress]: picking best candidate 0.172 * * * * [pick]: Picked # 0.172 * * * [progress]: localizing error 0.180 * * * [progress]: generating rewritten candidates 0.180 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.184 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.188 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.200 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.207 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.211 * [taylor]: Taking taylor expansion of 1/2 in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of 1 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.229 * [taylor]: Taking taylor expansion of 1/2 in y 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of 1/2 in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.250 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.250 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.254 * [taylor]: Taking taylor expansion of 1/2 in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [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 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of 1/2 in y 0.267 * [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 0.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 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 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of 1/2 in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.288 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 1 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [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 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [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 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [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 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.323 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.323 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of 1 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of 1 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.352 * * * [progress]: simplifying candidates 0.353 * [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)) 0.360 * * [simplify]: iteration 0 : 198 enodes (cost 720 ) 0.366 * * [simplify]: iteration 1 : 892 enodes (cost 654 ) 0.391 * * [simplify]: iteration 2 : 4766 enodes (cost 634 ) 0.573 * * [simplify]: iteration 3 : 5001 enodes (cost 634 ) 0.578 * [simplify]: Simplified to: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (+ (* x x) (* y y))) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 1 2 1 1 (pow (sqrt (+ (* x x) (* y y))) 4) (+ (* x x) (* y y)) (pow (sqrt (+ (* x x) (* y y))) 4) 2 (log (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (pow (sqrt (+ (* x x) (* y y))) 4) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* x x) (* y y)))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) 1 2 1 (* (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (cbrt (sqrt (+ (* x x) (* y y))))) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (+ (* x x) (* y y))) (pow (cbrt (sqrt (+ (* x x) (* y y)))) 4) (* (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ (* x x) (* y y)) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x x) (* y y))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) y x (* -1 x) y x (* -1 x) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.578 * * * [progress]: adding candidates to table 0.846 * * [progress]: iteration 3 / 4 0.846 * * * [progress]: picking best candidate 0.850 * * * * [pick]: Picked # 0.850 * * * [progress]: localizing error 0.862 * * * [progress]: generating rewritten candidates 0.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.866 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.869 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.876 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.905 * * * [progress]: generating series expansions 0.905 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.905 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.909 * [taylor]: Taking taylor expansion of 1/2 in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of 1 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of 1/2 in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.936 * [taylor]: Taking taylor expansion of 1 in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.939 * [taylor]: Taking taylor expansion of 1/2 in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.943 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.943 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.943 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.944 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.945 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.947 * [taylor]: Taking taylor expansion of 1/2 in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.956 * [taylor]: Taking taylor expansion of y in x 0.958 * [taylor]: Taking taylor expansion of 1 in y 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.961 * [taylor]: Taking taylor expansion of 1/2 in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.979 * [taylor]: Taking taylor expansion of 1 in y 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of 1/2 in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.986 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.987 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in (x y) around 0 0.987 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in y 0.987 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in y 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in y 0.987 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in y 0.987 * [taylor]: Taking taylor expansion of 1/4 in y 0.987 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y 0.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.987 * [taylor]: Taking taylor expansion of x in y 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in x 0.987 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 0.987 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 0.987 * [taylor]: Taking taylor expansion of 1/4 in x 0.987 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (pow y 2)) 1/4) 3) in x 0.988 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/4) in x 0.988 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) in x 0.988 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (pow y 2)))) in x 0.988 * [taylor]: Taking taylor expansion of 1/4 in x 0.988 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.988 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 0.988 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [taylor]: Taking taylor expansion of (* 3/4 (sqrt (/ 1 y))) in y 0.997 * [taylor]: Taking taylor expansion of 3/4 in y 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.997 * [taylor]: Taking taylor expansion of y in y 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.014 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in (x y) around 0 1.014 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in y 1.014 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.014 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.014 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.014 * [taylor]: Taking taylor expansion of 1/4 in y 1.014 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.016 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.016 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.016 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.016 * [taylor]: Taking taylor expansion of 1/4 in x 1.016 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.018 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.018 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.018 * [taylor]: Taking taylor expansion of 1/4 in x 1.018 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.020 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.024 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [taylor]: Taking taylor expansion of (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) in y 1.029 * [taylor]: Taking taylor expansion of 3/4 in y 1.029 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) in y 1.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.029 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.030 * [taylor]: Taking taylor expansion of y in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in (x y) around 0 1.044 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in y 1.044 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in y 1.044 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.044 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.044 * [taylor]: Taking taylor expansion of 1/4 in y 1.044 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.044 * [taylor]: Taking taylor expansion of x in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.046 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.046 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.046 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.046 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.046 * [taylor]: Taking taylor expansion of 1/4 in x 1.046 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.047 * [taylor]: Taking taylor expansion of y in x 1.048 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) 3) in x 1.048 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/4) in x 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.048 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.048 * [taylor]: Taking taylor expansion of 1/4 in x 1.048 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.050 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.050 * [taylor]: Taking taylor expansion of x in y 1.054 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [taylor]: Taking taylor expansion of (* 3/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2)))) in y 1.060 * [taylor]: Taking taylor expansion of 3/4 in y 1.060 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) in y 1.060 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow x 3))) in y 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 1.060 * [taylor]: Taking taylor expansion of (pow x 3) in y 1.060 * [taylor]: Taking taylor expansion of x in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of 0 in y 1.079 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.079 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.080 * [taylor]: Taking taylor expansion of x in y 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.080 * [taylor]: Taking taylor expansion of y in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.081 * [taylor]: Taking taylor expansion of 1 in y 1.083 * [taylor]: Taking taylor expansion of 0 in y 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.086 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.086 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.086 * [taylor]: Taking taylor expansion of x in y 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.086 * [taylor]: Taking taylor expansion of y in y 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [taylor]: Taking taylor expansion of 1 in y 1.090 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.093 * [taylor]: Taking taylor expansion of 0 in y 1.096 * [taylor]: Taking taylor expansion of 0 in y 1.098 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.098 * [taylor]: Taking taylor expansion of x in y 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.099 * [taylor]: Taking taylor expansion of y in x 1.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.100 * [taylor]: Taking taylor expansion of y in x 1.101 * [taylor]: Taking taylor expansion of 1 in y 1.102 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.105 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.109 * * * [progress]: simplifying candidates 1.112 * [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)))) (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3) (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 1) (pow (* (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (cbrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (* x 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y)))))) 3) (pow (sqrt (cbrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) 3) (pow (sqrt (sqrt (cbrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow (sqrt (sqrt (sqrt (+ (* x x) (* y y))))) 3) (pow 1 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) 3) (pow (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) 3) (pow (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) 3) (pow (sqrt (sqrt (- (* x x) (* y y)))) 3) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (sqrt (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (/ 3 2)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) (/ 3 2)) (+ 3 1) (+ 3 1) (+ (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3) (log (sqrt (sqrt (+ (* x x) (* y y)))))) (+ (* (log (sqrt (sqrt (+ (* x x) (* y y))))) 3) (log (sqrt (sqrt (+ (* x x) (* y y)))))) (+ (log (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (log (sqrt (sqrt (+ (* x x) (* y y)))))) (log (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))) (exp (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (* (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)) (* (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (cbrt (* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))) (cbrt (* 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(pow (sqrt (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) 3) (sqrt (sqrt (+ (* x x) (* y y))))) y x (* -1 x) y x (* -1 x) (+ (* 3/4 (* (pow x 2) (* (pow NAN 3) y))) (+ (* NAN (pow y 2)) (* 3/4 (* (pow x 2) NAN)))) (sqrt (pow x 3)) (sqrt (* -1 (pow x 3))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 1.192 * * * [progress]: adding candidates to table 1.606 * [progress]: [Phase 3 of 3] Extracting. 1.606 * * [regime]: Finding splitpoints for: (# # #) 1.607 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) y x) 1.607 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.645 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.683 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 1.724 * * * * [regimes]: Trying to branch on y from (# # #) 1.762 * * * * [regimes]: Trying to branch on x from (# # #) 1.801 * * * [regime]: Found split indices: #