16.192 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (+ (+ (* x y) x) y) 0.020 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 28 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 36 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 54 enodes (cost 3 ) 0.026 * * [simplify]: iteration 5 : 101 enodes (cost 3 ) 0.028 * * [simplify]: iteration 6 : 150 enodes (cost 3 ) 0.030 * * [simplify]: iteration 7 : 167 enodes (cost 3 ) 0.032 * * [simplify]: iteration 8 : 242 enodes (cost 3 ) 0.035 * * [simplify]: iteration 9 : 468 enodes (cost 3 ) 0.048 * * [simplify]: iteration 10 : 1547 enodes (cost 3 ) 0.135 * * [simplify]: iteration 11 : 5001 enodes (cost 3 ) 0.135 * [simplify]: Simplified to: (+ (+ (* x y) x) y) 0.136 * * [progress]: iteration 1 / 4 0.136 * * * [progress]: picking best candidate 0.138 * * * * [pick]: Picked # 0.138 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.147 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.153 * [approximate]: Taking taylor expansion of (+ x (* x y)) in (x y) around 0 0.153 * [taylor]: Taking taylor expansion of (+ x (* x y)) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of (* x y) in y 0.153 * [taylor]: Taking taylor expansion of x in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.158 * [taylor]: Taking taylor expansion of (* x y) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.159 * [taylor]: Taking taylor expansion of (* x y) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.159 * [taylor]: Taking taylor expansion of (* x y) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.170 * [taylor]: Taking taylor expansion of (* x y) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.170 * [taylor]: Taking taylor expansion of (* x y) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.171 * [taylor]: Taking taylor expansion of (* x y) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.187 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.187 * [approximate]: Taking taylor expansion of (+ x (+ y (* x y))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (+ x (+ y (* x y))) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (+ y (* x y)) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (* x y) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (+ x (+ y (* x y))) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ y (* x y)) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (* x y) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (+ x (+ y (* x y))) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ y (* x y)) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (* x y) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.189 * [taylor]: Taking taylor expansion of (* x y) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.190 * [taylor]: Taking taylor expansion of (* x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.191 * [taylor]: Taking taylor expansion of (* x y) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.195 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.195 * [taylor]: Taking taylor expansion of (* x y) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.196 * [taylor]: Taking taylor expansion of (* x y) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 y) (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.197 * [taylor]: Taking taylor expansion of (* x y) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of 1 in y 0.200 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * * * [progress]: simplifying candidates 0.202 * [simplify]: Simplifying using # : (* (exp (* x y)) (exp x)) (log (+ (* x y) x)) (exp (+ (* x y) x)) (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))) (cbrt (+ (* x y) x)) (* (* (+ (* x y) x) (+ (* x y) x)) (+ (* x y) x)) (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)) (+ (pow (* x y) 3) (pow x 3)) (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x))) (- (* (* x y) (* x y)) (* x x)) (- (* x y) x) (* (* (exp (* x y)) (exp x)) (exp y)) (* (exp (+ (* x y) x)) (exp y)) (log (+ (+ (* x y) x) y)) (exp (+ (+ (* x y) x) y)) (* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y))) (cbrt (+ (+ (* x y) x) y)) (* (* (+ (+ (* x y) x) y) (+ (+ (* x y) x) y)) (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)) (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (+ (* x y) x)) (- (* y y) (* (+ (* x y) x) y))) (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ x y) (+ x (* x y)) (+ x (* x y)) (+ x (* x y)) (+ x (+ y (* x y))) (+ x (+ y (* x y))) (+ x (+ y (* x y))) 0.205 * * [simplify]: iteration 0 : 143 enodes (cost 138 ) 0.207 * * [simplify]: iteration 1 : 451 enodes (cost 129 ) 0.216 * * [simplify]: iteration 2 : 1660 enodes (cost 127 ) 0.250 * * [simplify]: iteration 3 : 5001 enodes (cost 126 ) 0.252 * [simplify]: Simplified to: (exp (+ (* x y) x)) (log (+ (* x y) x)) (exp (+ (* x y) x)) (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))) (cbrt (+ (* x y) x)) (pow (+ (* x y) x) 3) (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)) (+ (pow (* x y) 3) (pow x 3)) (* (* x x) (- (+ (* y y) 1) y)) (* x (- (* y (* x y)) x)) (- (* x y) x) (exp (+ (+ (* x y) x) y)) (exp (+ (+ (* x y) x) y)) (log (+ (+ (* x y) x) y)) (exp (+ (+ (* x y) x) y)) (* (cbrt (+ (+ (* x y) x) y)) (cbrt (+ (+ (* x y) x) y))) (cbrt (+ (+ (* x y) x) y)) (pow (+ (+ (* x y) x) y) 3) (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)) (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)) (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ x y) (+ (* x y) x) (+ (* x y) x) (+ (* x y) x) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) 0.252 * * * [progress]: adding candidates to table 0.323 * * [progress]: iteration 2 / 4 0.323 * * * [progress]: picking best candidate 0.326 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.344 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.348 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.358 * * * [progress]: generating series expansions 0.358 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.358 * [approximate]: Taking taylor expansion of (+ x (* x y)) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (+ x (* x y)) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (* x y) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (* x y) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* x y) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in (x y) around 0 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.364 * [taylor]: Taking taylor expansion of (* x y) in y 0.364 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.364 * [taylor]: Taking taylor expansion of (* x y) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.365 * [taylor]: Taking taylor expansion of (* x y) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 1 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.375 * [taylor]: Taking taylor expansion of (* x y) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.376 * [taylor]: Taking taylor expansion of (* x y) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.376 * [taylor]: Taking taylor expansion of (* x y) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.388 * [approximate]: Taking taylor expansion of (sqrt (+ x (* x y))) in (x y) around 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ x (* x y))) in y 0.388 * [taylor]: Taking taylor expansion of (+ x (* x y)) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (* x y) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (sqrt (+ x (* x y))) in x 0.389 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* x y) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ x (* x y))) in x 0.390 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (* x y) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of (* NAN (+ y 1)) in y 0.391 * [taylor]: Taking taylor expansion of NAN in y 0.391 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 1 in y 0.393 * [taylor]: Taking taylor expansion of (* NAN (+ (* (pow NAN 2) (pow y 2)) (+ (* 2 (* (pow NAN 2) y)) (pow NAN 2)))) in y 0.393 * [taylor]: Taking taylor expansion of NAN in y 0.393 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 2) (pow y 2)) (+ (* 2 (* (pow NAN 2) y)) (pow NAN 2))) in y 0.393 * [taylor]: Taking taylor expansion of (* (pow NAN 2) (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.394 * [taylor]: Taking taylor expansion of NAN in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (+ (* 2 (* (pow NAN 2) y)) (pow NAN 2)) in y 0.394 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) y)) in y 0.394 * [taylor]: Taking taylor expansion of 2 in y 0.394 * [taylor]: Taking taylor expansion of (* (pow NAN 2) y) in y 0.394 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.394 * [taylor]: Taking taylor expansion of NAN in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.394 * [taylor]: Taking taylor expansion of NAN in y 0.399 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in (x y) around 0 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in y 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.399 * [taylor]: Taking taylor expansion of (* x y) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.404 * [taylor]: Taking taylor expansion of (* x y) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.405 * [taylor]: Taking taylor expansion of (* x y) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of (* NAN (+ (/ 1 y) 1)) in y 0.406 * [taylor]: Taking taylor expansion of NAN in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 1 in y 0.409 * [taylor]: Taking taylor expansion of (* NAN (+ (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))))) in y 0.409 * [taylor]: Taking taylor expansion of NAN in y 0.409 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2)))) in y 0.409 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) y)) in y 0.409 * [taylor]: Taking taylor expansion of 2 in y 0.409 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) y) in y 0.409 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.409 * [taylor]: Taking taylor expansion of NAN in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.410 * [taylor]: Taking taylor expansion of NAN in y 0.410 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.410 * [taylor]: Taking taylor expansion of NAN in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.422 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in (x y) around 0 0.423 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in y 0.423 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.423 * [taylor]: Taking taylor expansion of (* x y) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.423 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.424 * [taylor]: Taking taylor expansion of (* x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in x 0.425 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.425 * [taylor]: Taking taylor expansion of (* x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of (* NAN (- (/ 1 y) 1)) in y 0.427 * [taylor]: Taking taylor expansion of NAN in y 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of 1 in y 0.430 * [taylor]: Taking taylor expansion of (* NAN (- (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))))) in y 0.430 * [taylor]: Taking taylor expansion of NAN in y 0.430 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2)))) in y 0.430 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) y)) in y 0.430 * [taylor]: Taking taylor expansion of 2 in y 0.430 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) y) in y 0.430 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.430 * [taylor]: Taking taylor expansion of NAN in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.431 * [taylor]: Taking taylor expansion of NAN in y 0.431 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.431 * [taylor]: Taking taylor expansion of NAN in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.445 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.445 * [approximate]: Taking taylor expansion of (sqrt (+ x (* x y))) in (x y) around 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ x (* x y))) in y 0.445 * [taylor]: Taking taylor expansion of (+ x (* x y)) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of (* x y) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ x (* x y))) in x 0.445 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* x y) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ x (* x y))) in x 0.446 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (* x y) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of (* NAN (+ y 1)) in y 0.448 * [taylor]: Taking taylor expansion of NAN in y 0.448 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of 1 in y 0.450 * [taylor]: Taking taylor expansion of (* NAN (+ (* (pow NAN 2) (pow y 2)) (+ (* 2 (* (pow NAN 2) y)) (pow NAN 2)))) in y 0.450 * [taylor]: Taking taylor expansion of NAN in y 0.450 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 2) (pow y 2)) (+ (* 2 (* (pow NAN 2) y)) (pow NAN 2))) in y 0.450 * [taylor]: Taking taylor expansion of (* (pow NAN 2) (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.450 * [taylor]: Taking taylor expansion of NAN in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (+ (* 2 (* (pow NAN 2) y)) (pow NAN 2)) in y 0.450 * [taylor]: Taking taylor expansion of (* 2 (* (pow NAN 2) y)) in y 0.450 * [taylor]: Taking taylor expansion of 2 in y 0.450 * [taylor]: Taking taylor expansion of (* (pow NAN 2) y) in y 0.450 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.450 * [taylor]: Taking taylor expansion of NAN in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.450 * [taylor]: Taking taylor expansion of NAN in y 0.456 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in (x y) around 0 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in y 0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.456 * [taylor]: Taking taylor expansion of (* x y) in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in x 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.457 * [taylor]: Taking taylor expansion of (* x y) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ 1 (* x y)))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.458 * [taylor]: Taking taylor expansion of (* x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of (* NAN (+ (/ 1 y) 1)) in y 0.460 * [taylor]: Taking taylor expansion of NAN in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of 1 in y 0.463 * [taylor]: Taking taylor expansion of (* NAN (+ (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))))) in y 0.463 * [taylor]: Taking taylor expansion of NAN in y 0.463 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2)))) in y 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) y)) in y 0.463 * [taylor]: Taking taylor expansion of 2 in y 0.463 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) y) in y 0.463 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.463 * [taylor]: Taking taylor expansion of NAN in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.464 * [taylor]: Taking taylor expansion of NAN in y 0.464 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.464 * [taylor]: Taking taylor expansion of NAN in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.476 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in (x y) around 0 0.476 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in y 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.476 * [taylor]: Taking taylor expansion of (* x y) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.477 * [taylor]: Taking taylor expansion of (* x y) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.479 * [taylor]: Taking taylor expansion of (* x y) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of (* NAN (- (/ 1 y) 1)) in y 0.481 * [taylor]: Taking taylor expansion of NAN in y 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.484 * [taylor]: Taking taylor expansion of (* NAN (- (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))))) in y 0.484 * [taylor]: Taking taylor expansion of NAN in y 0.484 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow NAN 2) y)) (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2)))) in y 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 2) y)) in y 0.484 * [taylor]: Taking taylor expansion of 2 in y 0.484 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) y) in y 0.484 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.484 * [taylor]: Taking taylor expansion of NAN in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (+ (pow NAN 2) (/ (pow NAN 2) (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.485 * [taylor]: Taking taylor expansion of NAN in y 0.485 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.485 * [taylor]: Taking taylor expansion of NAN in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.502 * [approximate]: Taking taylor expansion of (+ x (* x y)) in (x y) around 0 0.502 * [taylor]: Taking taylor expansion of (+ x (* x y)) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (* x y) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (+ x (* x y)) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of (+ y 1) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.507 * [taylor]: Taking taylor expansion of (* x y) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.508 * [taylor]: Taking taylor expansion of (* x y) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.508 * [taylor]: Taking taylor expansion of (* x y) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 1 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in (x y) around 0 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.519 * [taylor]: Taking taylor expansion of (* x y) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.519 * [taylor]: Taking taylor expansion of (* x y) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.520 * [taylor]: Taking taylor expansion of (* x y) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.532 * * * [progress]: simplifying candidates 0.534 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x y) x) (+ (* x y) x)) (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) (* (+ (* x y) x) (+ (* x y) x)) (+ 1 1) (+ (log (sqrt (+ (* x y) x))) (log (sqrt (+ (* x y) x)))) (log (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (exp (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (* (* (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) (sqrt (+ (* x y) x))) (* (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) (sqrt (+ (* x y) x)))) (* (cbrt (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (cbrt (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))))) (cbrt (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (* (* (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (* (+ (* x y) x) (+ (* x y) x)) (sqrt (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (sqrt (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))) (* (sqrt (+ (pow (* x y) 3) (pow x 3))) (sqrt (+ (pow (* x y) 3) (pow x 3)))) (* (sqrt (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x)))) (sqrt (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x))))) (* (sqrt (+ (pow (* x y) 3) (pow x 3))) (sqrt (- (* (* x y) (* x y)) (* x x)))) (* (sqrt (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x)))) (sqrt (- (* x y) x))) (* (sqrt (- (* (* x y) (* x y)) (* x x))) (sqrt (+ (pow (* x y) 3) (pow x 3)))) (* (sqrt (- (* x y) x)) (sqrt (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x))))) (* (sqrt (- (* (* x y) (* x y)) (* x x))) (sqrt (- (* (* x y) (* x y)) (* x x)))) (* (sqrt (- (* x y) x)) (sqrt (- (* x y) x))) (* (* (cbrt (sqrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))) (* (cbrt (sqrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x))))) (* (cbrt (sqrt (+ (* x y) x))) (cbrt (sqrt (+ (* x y) x)))) (* (sqrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))) (sqrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))) (* (sqrt (cbrt (+ (* x y) x))) (sqrt (cbrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* 1 1) (* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) (sqrt (sqrt (+ (* x y) x)))) (* (sqrt (sqrt (+ (* x y) x))) 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2 (/ (* (pow NAN 3) y) x)) (+ NAN (* NAN y))) (+ x (* x y)) (+ x (* x y)) (+ x (* x y)) 0.539 * * [simplify]: iteration 0 : 213 enodes (cost 598 ) 0.544 * * [simplify]: iteration 1 : 836 enodes (cost 548 ) 0.569 * * [simplify]: iteration 2 : 5001 enodes (cost 532 ) 0.572 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (* x y) x)) 4) (+ (* x y) x) (pow (sqrt (+ (* x y) x)) 4) 2 (log (+ (* x y) x)) (log (+ (* x y) x)) (exp (+ (* x y) x)) (pow (+ (* x y) x) 3) (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))) (cbrt (+ (* x y) x)) (pow (+ (* x y) x) 3) (pow (sqrt (+ (* x y) x)) 4) (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)) (+ (pow (* x y) 3) (pow x 3)) (* x (+ (* y (* x y)) (- x (* x y)))) (* (sqrt (+ (pow (* x y) 3) (pow x 3))) (sqrt (- (* (* x y) (* x y)) (* x x)))) (* (sqrt (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x)))) (sqrt (- (* x y) x))) (* (sqrt (+ (pow (* x y) 3) (pow x 3))) (sqrt (- (* (* x y) (* x y)) (* x x)))) (* (sqrt (+ (* (* x y) (* x y)) (- (* x x) (* (* x y) x)))) 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0.573 * * * [progress]: adding candidates to table 0.817 * [progress]: [Phase 3 of 3] Extracting. 0.817 * * [regime]: Finding splitpoints for: (# #) 0.818 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x y) x) y) y x) 0.818 * * * * [regimes]: Trying to branch on (+ (+ (* x y) x) y) from (# #) 0.853 * * * * [regimes]: Trying to branch on y from (# #) 0.887 * * * * [regimes]: Trying to branch on x from (# #) 0.921 * * * [regime]: Found split indices: #