9.983 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.024 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.027 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.028 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.028 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.037 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 1 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) 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 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.056 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.059 * * [simplify]: iteration 0 : 81 enodes (cost 57 ) 0.061 * * [simplify]: iteration 1 : 284 enodes (cost 50 ) 0.066 * * [simplify]: iteration 2 : 688 enodes (cost 50 ) 0.080 * * [simplify]: iteration 3 : 2506 enodes (cost 50 ) 0.144 * * [simplify]: iteration 4 : 5001 enodes (cost 50 ) 0.145 * [simplify]: Simplified to: (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.145 * * * [progress]: adding candidates to table 0.171 * * [progress]: iteration 2 / 4 0.171 * * * [progress]: picking best candidate 0.173 * * * * [pick]: Picked # 0.173 * * * [progress]: localizing error 0.180 * * * [progress]: generating rewritten candidates 0.180 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.203 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.206 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.215 * * * [progress]: generating series expansions 0.215 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.215 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 1 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.237 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.237 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 y) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of 1 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.256 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.256 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 1 in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 y) in x 0.259 * [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 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.274 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.278 * [taylor]: Taking taylor expansion of 1/2 in y 0.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.283 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.291 * [taylor]: Taking taylor expansion of 1/2 in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of -1/8 in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.297 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.307 * [taylor]: Taking taylor expansion of -1/2 in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of -1/8 in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.316 * * * [progress]: simplifying candidates 0.318 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y)))) (log (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))) (* (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 1 1) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) 1) (* (cbrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.323 * * [simplify]: iteration 0 : 213 enodes (cost 550 ) 0.328 * * [simplify]: iteration 1 : 846 enodes (cost 492 ) 0.349 * * [simplify]: iteration 2 : 4771 enodes (cost 477 ) 0.519 * * [simplify]: iteration 3 : 5001 enodes (cost 477 ) 0.521 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (+ (* x x) y) 3) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (pow (sqrt (+ (* x x) y)) 4) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (- (pow x 4) (pow y 2)) (- (* x x) y) (pow (cbrt (sqrt (+ (* x x) y))) 4) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 (+ (* x x) y) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 (+ (* x x) y) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) 1 2 1 (* (pow (cbrt (sqrt (+ (* x x) y))) 4) (cbrt (sqrt (+ (* x x) y)))) (* (fabs (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ (* x x) y)) (pow (cbrt (sqrt (+ (* x x) y))) 4) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ (* x x) y) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ (* x x) y) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.522 * * * [progress]: adding candidates to table 0.692 * * [progress]: iteration 3 / 4 0.693 * * * [progress]: picking best candidate 0.695 * * * * [pick]: Picked # 0.695 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.734 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.793 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.798 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.813 * * * [progress]: generating series expansions 0.813 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.813 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.813 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.813 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.813 * [taylor]: Taking taylor expansion of x in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.814 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.815 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.818 * [taylor]: Taking taylor expansion of 1/2 in y 0.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.823 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of 1 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.836 * [taylor]: Taking taylor expansion of 1/2 in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.841 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of -1/8 in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.843 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.843 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.845 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.848 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.852 * [taylor]: Taking taylor expansion of -1/2 in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.857 * [taylor]: Taking taylor expansion of -1/8 in y 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.859 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.859 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.859 * [taylor]: Taking taylor expansion of x in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of 1 in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.862 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of 1 in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.870 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of 1 in y 0.873 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.879 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.879 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.879 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.879 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.879 * [taylor]: Taking taylor expansion of 1/4 in y 0.879 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.879 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.880 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.880 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.880 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.880 * [taylor]: Taking taylor expansion of 1/4 in x 0.880 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.880 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.880 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.880 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.880 * [taylor]: Taking taylor expansion of 1/4 in x 0.880 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.880 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.880 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.880 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.880 * [taylor]: Taking taylor expansion of 1/4 in y 0.880 * [taylor]: Taking taylor expansion of (log y) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.887 * [taylor]: Taking taylor expansion of 1/4 in y 0.887 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.887 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.887 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.887 * [taylor]: Taking taylor expansion of 1/4 in y 0.887 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.887 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.896 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.905 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.905 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.905 * [taylor]: Taking taylor expansion of 1/4 in y 0.905 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.906 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.906 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.906 * [taylor]: Taking taylor expansion of 1/4 in x 0.906 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.907 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.908 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.908 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.908 * [taylor]: Taking taylor expansion of 1/4 in x 0.908 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.909 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.909 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.909 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.909 * [taylor]: Taking taylor expansion of -1/2 in y 0.909 * [taylor]: Taking taylor expansion of (log x) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.920 * [taylor]: Taking taylor expansion of 1/4 in y 0.920 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.930 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.930 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.930 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.930 * [taylor]: Taking taylor expansion of 1/4 in y 0.930 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.930 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.932 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.932 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.932 * [taylor]: Taking taylor expansion of 1/4 in x 0.932 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.932 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.934 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.934 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.934 * [taylor]: Taking taylor expansion of 1/4 in x 0.934 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.934 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) 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 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.935 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.935 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.935 * [taylor]: Taking taylor expansion of -1/2 in y 0.935 * [taylor]: Taking taylor expansion of (log x) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.943 * [taylor]: Taking taylor expansion of -1/4 in y 0.943 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.943 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.953 * [taylor]: Taking taylor expansion of 0 in y 0.953 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.953 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.953 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.953 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.953 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.953 * [taylor]: Taking taylor expansion of 1/4 in y 0.953 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.953 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.954 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.954 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.954 * [taylor]: Taking taylor expansion of 1/4 in x 0.954 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.954 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.954 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.954 * [taylor]: Taking taylor expansion of 1/4 in x 0.954 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.954 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.954 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.954 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.954 * [taylor]: Taking taylor expansion of 1/4 in y 0.954 * [taylor]: Taking taylor expansion of (log y) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.961 * [taylor]: Taking taylor expansion of 1/4 in y 0.961 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.961 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.961 * [taylor]: Taking taylor expansion of 1/4 in y 0.961 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.978 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.978 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.978 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.978 * [taylor]: Taking taylor expansion of 1/4 in y 0.978 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.979 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.979 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.979 * [taylor]: Taking taylor expansion of 1/4 in x 0.979 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.981 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.981 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.981 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.981 * [taylor]: Taking taylor expansion of 1/4 in x 0.981 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.981 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.982 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.982 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.982 * [taylor]: Taking taylor expansion of -1/2 in y 0.982 * [taylor]: Taking taylor expansion of (log x) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.990 * [taylor]: Taking taylor expansion of 1/4 in y 0.990 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.990 * [taylor]: Taking taylor expansion of x in y 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.990 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 1.000 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 1.000 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 1.000 * [taylor]: Taking taylor expansion of 1/4 in y 1.000 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.000 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.000 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 1.002 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.002 * [taylor]: Taking taylor expansion of 1/4 in x 1.002 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.002 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.007 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 1.007 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 1.007 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 1.007 * [taylor]: Taking taylor expansion of 1/4 in x 1.007 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.007 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.007 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.008 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.008 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.008 * [taylor]: Taking taylor expansion of -1/2 in y 1.008 * [taylor]: Taking taylor expansion of (log x) in y 1.009 * [taylor]: Taking taylor expansion of x in y 1.011 * [taylor]: Taking taylor expansion of 0 in y 1.016 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 1.016 * [taylor]: Taking taylor expansion of -1/4 in y 1.016 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion 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2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 1.042 * * [simplify]: iteration 0 : 492 enodes (cost 1715 ) 1.051 * * [simplify]: iteration 1 : 1823 enodes (cost 1484 ) 1.088 * * [simplify]: iteration 2 : 5001 enodes (cost 1462 ) 1.096 * [simplify]: Simplified to: 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (+ (* x x) y) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) 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x x) y)))) 1 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (+ (* +nan.0 (- (pow y 2) y)) (- (* +nan.0 (pow x 2)))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 1.097 * * * [progress]: adding candidates to table 1.450 * [progress]: [Phase 3 of 3] Extracting. 1.451 * * [regime]: Finding splitpoints for: (# #) 1.451 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 1.451 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.462 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 1.476 * * * * [regimes]: Trying to branch on y from (# #) 1.487 * * * * [regimes]: Trying to branch on x from (# #) 1.498 * * * [regime]: Found split indices: #