6.035 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying using # : (- x (* y y)) 0.065 * * [simplify]: iteration 0 : 89 enodes (cost 5 ) 0.065 * * [simplify]: iteration 1 : 89 enodes (cost 5 ) 0.065 * [simplify]: Simplified to: (- x (* y y)) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.067 * * * * [pick]: Picked # 0.067 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (neg 1) in y 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * * * [progress]: simplifying candidates 0.084 * [simplify]: Simplifying using # : (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (neg (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.116 * * [simplify]: iteration 0 : 4939 enodes (cost 113 ) 0.116 * * [simplify]: iteration 1 : 4939 enodes (cost 113 ) 0.117 * [simplify]: Simplified to: (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow y 6)) (+ (pow y 4) (* x (+ x (* y y)))) (* y (neg y)) (- (* x x) (pow y 4)) (+ x (* y y)) (+ y (sqrt x)) (- (sqrt x) y) (- x (* y y)) (- x (* y y)) (- x (* y y)) 0.117 * * * [progress]: adding candidates to table 0.132 * * [progress]: iteration 2 / 4 0.132 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.152 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.157 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.161 * * * [progress]: generating series expansions 0.161 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.161 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in y 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of -1 in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of 1 in y 0.167 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in y 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of -1 in y 0.172 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.177 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.177 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (neg (pow y 4)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.179 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.188 * [approximate]: Taking taylor expansion of (+ x (pow y 2)) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (neg 1) in y 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * * * [progress]: simplifying candidates 0.195 * [simplify]: Simplifying using # : (- (log (- (* x x) (pow y 4))) (log (+ x (* y y)))) (log (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (exp (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (/ (* (* (- (* x x) (pow y 4)) (- (* x x) (pow y 4))) (- (* x x) (pow y 4))) (* (* (+ x (* y y)) (+ x (* y y))) (+ x (* y y)))) (* (cbrt (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (cbrt (/ (- (* x x) (pow y 4)) (+ x (* y y))))) (cbrt (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (* (* (/ (- (* x x) (pow y 4)) (+ x (* y y))) (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (sqrt (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (sqrt (/ (- (* x x) (pow y 4)) (+ x (* y y)))) (neg (- (* x x) (pow y 4))) (neg (+ x (* y y))) (/ (* x x) (+ x (* y y))) (/ (pow y 4) (+ x (* y y))) (/ (* (cbrt (- (* x x) (pow y 4))) (cbrt (- (* x x) (pow y 4)))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (cbrt (- (* x x) (pow y 4))) (cbrt (+ x (* y y)))) (/ (* (cbrt (- (* x x) (pow y 4))) (cbrt (- (* x x) (pow y 4)))) (sqrt (+ x (* y y)))) (/ (cbrt (- (* x x) (pow y 4))) (sqrt (+ x (* y y)))) (/ (* (cbrt (- (* x x) (pow y 4))) (cbrt (- (* x x) (pow y 4)))) 1) (/ (cbrt (- (* x x) (pow y 4))) (+ x (* y y))) (/ (sqrt (- (* x x) (pow y 4))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (sqrt (- (* x x) (pow y 4))) (cbrt (+ x (* y y)))) (/ (sqrt (- (* x x) (pow y 4))) (sqrt (+ x (* y y)))) (/ (sqrt (- (* x x) (pow y 4))) (sqrt (+ x (* y y)))) (/ (sqrt (- (* x x) (pow y 4))) 1) (/ (sqrt (- (* x x) (pow y 4))) (+ x (* y y))) (/ 1 (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- (* x x) (pow y 4)) (cbrt (+ x (* y y)))) (/ 1 (sqrt (+ x (* y y)))) (/ (- (* x x) (pow y 4)) (sqrt (+ x (* y y)))) (/ 1 1) (/ (- (* x x) (pow y 4)) (+ x (* y y))) (/ (+ x (pow (sqrt y) 4)) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- x (pow (sqrt y) 4)) (cbrt (+ x (* y y)))) (/ (+ x (pow (sqrt y) 4)) (sqrt (+ x (* y y)))) (/ (- x (pow (sqrt y) 4)) (sqrt (+ x (* y y)))) (/ (+ x (pow (sqrt y) 4)) 1) (/ (- x (pow (sqrt y) 4)) (+ x (* y y))) (/ (+ x (sqrt (pow y 4))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- x (sqrt (pow y 4))) (cbrt (+ x (* y y)))) (/ (+ x (sqrt (pow y 4))) (sqrt (+ x (* y y)))) (/ (- x (sqrt (pow y 4))) (sqrt (+ x (* y y)))) (/ (+ x (sqrt (pow y 4))) 1) (/ (- x (sqrt (pow y 4))) (+ x (* y y))) (/ (+ x (pow y (/ 4 2))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- x (pow y (/ 4 2))) (cbrt (+ x (* y y)))) (/ (+ x (pow y (/ 4 2))) (sqrt (+ x (* y y)))) (/ (- x (pow y (/ 4 2))) (sqrt (+ x (* y y)))) (/ (+ x (pow y (/ 4 2))) 1) (/ (- x (pow y (/ 4 2))) (+ x (* y y))) (/ 1 (+ x (* y y))) (/ (+ x (* y y)) (- (* x x) (pow y 4))) (/ (- (* x x) (pow y 4)) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- (* x x) (pow y 4)) (sqrt (+ x (* y y)))) (/ (- (* x x) (pow y 4)) 1) (/ (+ x (* y y)) (cbrt (- (* x x) (pow y 4)))) (/ (+ x (* y y)) (sqrt (- (* x x) (pow y 4)))) (/ (+ x (* y y)) (- (* x x) (pow y 4))) (/ (+ x (* y y)) (- x (pow (sqrt y) 4))) (/ (+ x (* y y)) (- x (sqrt (pow y 4)))) (/ (+ x (* y y)) (- x (pow y (/ 4 2)))) (/ (- (* x x) (pow y 4)) (+ (pow x 3) (pow (* y y) 3))) (/ (- (* x x) (pow y 4)) (- (* x x) (* (* y y) (* y y)))) (* (+ x (* y y)) (+ (* (* x x) (* x x)) (+ (* (pow y 4) (pow y 4)) (* (* x x) (pow y 4))))) (* (+ x (* y y)) (+ (* x x) (pow y 4))) (/ (exp (* x x)) (exp (pow y 4))) (log (- (* x x) (pow y 4))) (exp (- (* x x) (pow y 4))) (* (cbrt (- (* x x) (pow y 4))) (cbrt (- (* x x) (pow y 4)))) (cbrt (- (* x x) (pow y 4))) (* (* (- (* x x) (pow y 4)) (- (* x x) (pow y 4))) (- (* x x) (pow y 4))) (sqrt (- (* x x) (pow y 4))) (sqrt (- (* x x) (pow y 4))) (- (pow (* x x) 3) (pow (pow y 4) 3)) (+ (* (* x x) (* x x)) (+ (* (pow y 4) (pow y 4)) (* (* x x) (pow y 4)))) (neg (pow y 4)) (- (* (* x x) (* x x)) (* (pow y 4) (pow y 4))) (+ (* x x) (pow y 4)) (+ x (pow (sqrt y) 4)) (- x (pow (sqrt y) 4)) (+ x (sqrt (pow y 4))) (- x (sqrt (pow y 4))) (+ x (pow y (/ 4 2))) (- x (pow y (/ 4 2))) (* (exp x) (exp (* y y))) (log (+ x (* y y))) (exp (+ x (* y y))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y)))) (cbrt (+ x (* y y))) (* (* (+ x (* y y)) (+ x (* y y))) (+ x (* y y))) (sqrt (+ x (* y y))) (sqrt (+ x (* y y))) (+ (pow x 3) (pow (* y y) 3)) (+ (* x x) (- (* (* y y) (* y y)) (* x (* y y)))) (- (* x x) (* (* y y) (* y y))) (- x (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) (pow x 2) (- (pow x 2) (pow y 4)) (- (pow x 2) (pow y 4)) (+ x (pow y 2)) (+ x (pow y 2)) (+ x (pow y 2)) 0.239 * * [simplify]: iteration 0 : 4934 enodes (cost 1029 ) 0.239 * * [simplify]: iteration 1 : 4934 enodes (cost 1029 ) 0.243 * [simplify]: Simplified to: (log (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (pow (- x (* y y)) 3) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (* y y)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow y 4) (* x x)) (- (* y (neg y)) x) (* x (/ x (+ x (* y y)))) (/ (pow y 4) (+ x (* y y))) (* (cbrt (- (* x x) (pow y 4))) (/ (cbrt (- (* x x) (pow y 4))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y)))))) (/ (cbrt (- (* x x) (pow y 4))) (cbrt (+ x (* y y)))) (* (cbrt (- (* x x) (pow y 4))) (/ (cbrt (- (* x x) (pow y 4))) (sqrt (+ x (* y y))))) (/ (cbrt (- (* x x) (pow y 4))) (sqrt (+ x (* y y)))) (* (cbrt (- (* x x) (pow y 4))) (cbrt (- (* x x) (pow y 4)))) (/ (cbrt (- (* x x) (pow y 4))) (+ x (* y y))) (/ (sqrt (- (* x x) (pow y 4))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (sqrt (- (* x x) (pow y 4))) (cbrt (+ x (* y y)))) (/ (sqrt (- (* x x) (pow y 4))) (sqrt (+ x (* y y)))) (/ (sqrt (- (* x x) (pow y 4))) (sqrt (+ x (* y y)))) (sqrt (- (* x x) (pow y 4))) (/ (sqrt (- (* x x) (pow y 4))) (+ x (* y y))) (/ 1 (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- (* x x) (pow y 4)) (cbrt (+ x (* y y)))) (/ 1 (sqrt (+ x (* y y)))) (/ (- (* x x) (pow y 4)) (sqrt (+ x (* y y)))) 1 (- x (* y y)) (/ (+ x (* y y)) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- x (* y y)) (cbrt (+ x (* y y)))) (/ (+ x (* y y)) (sqrt (+ x (* y y)))) (/ (- x (* y y)) (sqrt (+ x (* y y)))) (+ x (* y y)) (/ (- x (* y y)) (+ x (* y y))) (/ (+ x (sqrt (pow y 4))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- x (sqrt (pow y 4))) (cbrt (+ x (* y y)))) (/ (+ x (sqrt (pow y 4))) (sqrt (+ x (* y y)))) (/ (- x (sqrt (pow y 4))) (sqrt (+ x (* y y)))) (+ x (sqrt (pow y 4))) (/ (- x (sqrt (pow y 4))) (+ x (* y y))) (/ (+ x (* y y)) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- x (* y y)) (cbrt (+ x (* y y)))) (/ (+ x (* y y)) (sqrt (+ x (* y y)))) (/ (- x (* y y)) (sqrt (+ x (* y y)))) (+ x (* y y)) (/ (- x (* y y)) (+ x (* y y))) (/ 1 (+ x (* y y))) (/ 1 (- x (* y y))) (/ (- (* x x) (pow y 4)) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y))))) (/ (- (* x x) (pow y 4)) (sqrt (+ x (* y y)))) (- (* x x) (pow y 4)) (/ (+ x (* y y)) (cbrt (- (* x x) (pow y 4)))) (/ (+ x (* y y)) (sqrt (- (* x x) (pow y 4)))) (/ 1 (- x (* y y))) (/ (+ x (* y y)) (- x (* y y))) (/ (+ x (* y y)) (- x (sqrt (pow y 4)))) (/ (+ x (* y y)) (- x (* y y))) (/ (- (* x x) (pow y 4)) (+ (pow x 3) (pow y 6))) 1 (* (+ x (* y y)) (+ (pow x 4) (+ (pow y 8) (* x (* x (pow y 4)))))) (* (+ x (* y y)) (+ (* x x) (pow y 4))) (exp (- (* x x) (pow y 4))) (log (- (* x x) (pow y 4))) (exp (- (* x x) (pow y 4))) (* (cbrt (- (* x x) (pow y 4))) (cbrt (- (* x x) (pow y 4)))) (cbrt (- (* x x) (pow y 4))) (pow (- (* x x) (pow y 4)) 3) (sqrt (- (* x x) (pow y 4))) (sqrt (- (* x x) (pow y 4))) (- (pow x 6) (pow y 12)) (+ (pow x 4) (+ (pow y 8) (* x (* x (pow y 4))))) (neg (pow y 4)) (- (pow x 4) (pow y 8)) (+ (* x x) (pow y 4)) (+ x (* y y)) (- x (* y y)) (+ x (sqrt (pow y 4))) (- x (sqrt (pow y 4))) (+ x (* y y)) (- x (* y y)) (exp (+ x (* y y))) (log (+ x (* y y))) (exp (+ x (* y y))) (* (cbrt (+ x (* y y))) (cbrt (+ x (* y y)))) (cbrt (+ x (* y y))) (pow (+ x (* y y)) 3) (sqrt (+ x (* y y))) (sqrt (+ x (* y y))) (+ (pow x 3) (pow y 6)) (+ (pow y 4) (* x (- x (* y y)))) (- (* x x) (pow y 4)) (- x (* y y)) (- x (* y y)) (- x (* y y)) (- x (* y y)) (* x x) (- (* x x) (pow y 4)) (- (* x x) (pow y 4)) (+ x (* y y)) (+ x (* y y)) (+ x (* y y)) 0.243 * * * [progress]: adding candidates to table 0.330 * [progress]: [Phase 3 of 3] Extracting. 0.330 * * [regime]: Finding splitpoints for: (# #) 0.330 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.330 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.360 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.390 * * * * [regimes]: Trying to branch on y from (# #) 0.420 * * * * [regimes]: Trying to branch on x from (# #) 0.451 * * * [regime]: Found split indices: #