20.478 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.072 * [simplify]: Simplifying using # : (- x (* y y)) 0.074 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.074 * * [simplify]: iteration 1 : 4 enodes (cost 5 ) 0.075 * [simplify]: Simplified to: (- x (* y y)) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.084 * * * [progress]: generating series expansions 0.084 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (neg (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (neg 1) in y 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * * * [progress]: simplifying candidates 0.092 * [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)) 0.129 * * [simplify]: iteration 0 : 4895 enodes (cost 113 ) 0.129 * * [simplify]: iteration 1 : 4895 enodes (cost 113 ) 0.130 * [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)) 0.130 * * * [progress]: adding candidates to table 0.147 * * [progress]: iteration 2 / 4 0.147 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.158 * * * [progress]: generating rewritten candidates 0.158 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.169 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.174 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.180 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in y 0.180 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of x in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 4)) (+ x (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of -1 in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x 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 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) 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 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [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 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in y 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.192 * [taylor]: Taking taylor expansion of y in y 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 x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.192 * [taylor]: Taking taylor expansion of y 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 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) (- (/ 1 (pow y 2)) (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of -1 in y 0.193 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.198 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in y 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 4)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (neg (pow y 4)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 4))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 4) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 4))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.209 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.209 * [approximate]: Taking taylor expansion of (+ x (pow y 2)) in (x y) around 0 0.209 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (+ x (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (neg 1) in y 0.213 * [taylor]: Taking taylor expansion of 1 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * * * [progress]: simplifying candidates 0.216 * [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)) 0.244 * * [simplify]: iteration 0 : 5074 enodes (cost 1030 ) 0.248 * [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))) (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)))) (/ (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)) 0.248 * * * [progress]: adding candidates to table 0.345 * [progress]: [Phase 3 of 3] Extracting. 0.345 * * [regime]: Finding splitpoints for: (# #) 0.345 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.345 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.378 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.414 * * * * [regimes]: Trying to branch on y from (# #) 0.448 * * * * [regimes]: Trying to branch on x from (# #) 0.495 * * * [regime]: Found split indices: #