14.570 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.025 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.028 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.030 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.034 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.039 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.049 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.083 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.084 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.084 * * [progress]: iteration 1 / 4 0.084 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.125 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.135 * * * [progress]: generating series expansions 0.135 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.135 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.135 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.135 * [taylor]: Taking taylor expansion of (+ x y) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (- x y) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.136 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.136 * [taylor]: Taking taylor expansion of (+ x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (- x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.137 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.137 * [taylor]: Taking taylor expansion of (+ x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (- x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of -1 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.140 * [taylor]: Taking taylor expansion of 2 in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.145 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.148 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.150 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of 2 in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.165 * [taylor]: Taking taylor expansion of -1 in y 0.165 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) 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 y) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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 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 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.180 * [taylor]: Taking taylor expansion of 2 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.188 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 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 (+ (pow x 2) (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 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 (+ (pow x 2) (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 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 (pow y 2) in y 0.188 * [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 1 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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 0.193 * [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 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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 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 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [taylor]: Taking taylor expansion of 0 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 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.216 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.220 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.227 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.256 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.258 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (pow y 2) (pow x 2)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (pow x 2) (pow y 2))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.258 * * * [progress]: adding candidates to table 0.365 * * [progress]: iteration 2 / 4 0.365 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.412 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.435 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.446 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.458 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.458 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.458 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.458 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.458 * [taylor]: Taking taylor expansion of (+ x y) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (- x y) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.459 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.459 * [taylor]: Taking taylor expansion of (+ x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (- x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.460 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.460 * [taylor]: Taking taylor expansion of (+ x y) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (- x y) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of 2 in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.468 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.468 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.471 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.473 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of 2 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.492 * [taylor]: Taking taylor expansion of -1 in y 0.492 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.492 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.494 * [taylor]: Taking taylor expansion of -1 in x 0.494 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.497 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of 1 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.506 * [taylor]: Taking taylor expansion of 2 in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.514 * [approximate]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in y 0.514 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.514 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.514 * [taylor]: Taking taylor expansion of (+ x y) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (- x y) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 0.515 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.515 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.515 * [taylor]: Taking taylor expansion of (+ x y) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (- x y) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 0.515 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.515 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.515 * [taylor]: Taking taylor expansion of (+ x y) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (- x y) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of -1 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of 6 in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [approximate]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.528 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.528 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.528 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.530 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.530 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.533 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.533 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of 1 in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow y 2)))) in y 0.543 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.543 * [taylor]: Taking taylor expansion of 6 in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in (x y) around 0 0.552 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in y 0.552 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.552 * [taylor]: Taking taylor expansion of -1 in y 0.552 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.552 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.552 * [taylor]: Taking taylor expansion of x in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in x 0.554 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.554 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in x 0.557 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.557 * [taylor]: Taking taylor expansion of -1 in x 0.557 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.557 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1 in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow y 2)))) in y 0.572 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.572 * [taylor]: Taking taylor expansion of 6 in y 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.581 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.582 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.582 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.582 * [taylor]: Taking taylor expansion of (+ x y) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (- x y) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.582 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.582 * [taylor]: Taking taylor expansion of (+ x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (- x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.583 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.583 * [taylor]: Taking taylor expansion of (+ x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (- x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of -1 in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.586 * [taylor]: Taking taylor expansion of 2 in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of 0 in y 0.591 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.591 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.591 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.594 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.594 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.596 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of 1 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.605 * [taylor]: Taking taylor expansion of 2 in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.612 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.612 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.612 * [taylor]: Taking taylor expansion of -1 in y 0.613 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.616 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.616 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.621 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.621 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in y 0.625 * [taylor]: Taking taylor expansion of -1 in y 0.625 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.625 * [taylor]: Taking taylor expansion of -1 in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow y 2))) in y 0.636 * [taylor]: Taking taylor expansion of 2 in y 0.636 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 0.636 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.636 * [taylor]: Taking taylor expansion of -1 in y 0.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.653 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of 1 in y 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of 1 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.668 * [taylor]: Taking taylor expansion of x in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of 1 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.677 * * * [progress]: simplifying candidates 0.679 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) 3) (* (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) 3) (* (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (* (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (* 1 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (sqrt 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 1) (pow (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) 3) (pow (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) 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(- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (* (* (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) 3) (pow (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (/ (+ x y) (cbrt (+ (* x x) (* y y)))) 3) (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (- x y) 1) 3) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) (pow 1 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (* (- x y) (+ x y)) 3) (pow (/ 1 (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3) (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (- (* x x) (* y y)) 3) (pow (* (- x y) (+ x y)) 3) (pow (+ (* x x) (* y y)) 3) (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2)) (log (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (exp (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (/ (+ x y) (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) 1) 3)) (cbrt (pow (/ (+ x y) (+ (* x x) (* y y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (* (- x y) (+ x y)) 3)) (cbrt (pow (/ 1 (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) 3)) (cbrt (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3)) (cbrt (pow (- (* x x) (* y y)) 3)) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (* (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (/ (+ x y) (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) 1) 3)) (cbrt (pow (/ (+ x y) (+ (* x x) (* y y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (* (- x y) (+ x y)) 3)) (cbrt (pow (/ 1 (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) 3)) (cbrt (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3)) (cbrt (pow (- (* x x) (* y y)) 3)) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt 1) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (* (- x y) (+ x y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3)) (* (cbrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)))) (cbrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (* (* (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 -1 1 1 -1 1 (* -1 (cbrt -1)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.687 * * [simplify]: iteration 0 : 494 enodes (cost 1238 ) 0.697 * * [simplify]: iteration 1 : 2872 enodes (cost 1167 ) 0.746 * * [simplify]: iteration 2 : 5001 enodes (cost 1161 ) 0.751 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y 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(pow (* (- x y) (+ x y)) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (log (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (exp (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (pow (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3/2) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3/2) (/ (/ (pow (- x y) 3) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (/ (pow (+ x y) 3) (+ (* x x) (* y y))) (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (- x y) 3) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) 1 (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (* (- x y) (+ x y)) 3) (pow (/ 1 (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (+ (* (pow y 2) (- (pow y 2) (pow x 2))) (* (* x x) (* x x))) 3) (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (* (- x y) (+ x y)) 3) (pow (* (- x y) (+ x y)) 3) (pow (+ (* x x) (* y y)) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3/2) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3/2) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (/ 1 (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- x y) (+ x y)) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (/ 1 (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- x y) (+ x y)) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (+ (* x x) (* y y)) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (- x y) (+ x y)) -1 1 1 -1 1 1 -1 1 (* -1 (cbrt -1)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.752 * * * [progress]: adding candidates to table 0.998 * * [progress]: iteration 3 / 4 0.998 * * * [progress]: picking best candidate 1.001 * * * * [pick]: Picked # 1.001 * * * [progress]: localizing error 1.011 * * * [progress]: generating rewritten candidates 1.011 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.066 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.116 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.147 * * * [progress]: generating series expansions 1.147 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.147 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 1.147 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y 1.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.147 * [taylor]: Taking taylor expansion of (+ x y) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.148 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (+ x y) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (+ x y) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [taylor]: Taking taylor expansion of (- 1) in y 1.149 * [taylor]: Taking taylor expansion of 1 in y 1.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.151 * [taylor]: Taking taylor expansion of 2 in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of 2 in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.157 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.157 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.158 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.158 * [taylor]: Taking taylor expansion of x in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.158 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.158 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.158 * [taylor]: Taking taylor expansion of x in y 1.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.160 * [taylor]: Taking taylor expansion of y in x 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.160 * [taylor]: Taking taylor expansion of y in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of 1 in y 1.164 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.167 * [taylor]: Taking taylor expansion of 2 in y 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.167 * [taylor]: Taking taylor expansion of y in y 1.171 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.171 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.171 * [taylor]: Taking taylor expansion of 2 in y 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.172 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.172 * [taylor]: Taking taylor expansion of y in y 1.177 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.177 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 1.177 * [taylor]: Taking taylor expansion of -1 in y 1.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.178 * [taylor]: Taking taylor expansion of x in y 1.179 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.179 * [taylor]: Taking taylor expansion of -1 in x 1.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.180 * [taylor]: Taking taylor expansion of y in x 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.180 * [taylor]: Taking taylor expansion of y in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.181 * [taylor]: Taking taylor expansion of -1 in x 1.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.181 * [taylor]: Taking taylor expansion of y in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of -1 in y 1.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.191 * [taylor]: Taking taylor expansion of 2 in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.197 * [taylor]: Taking taylor expansion of 2 in y 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.197 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.202 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.202 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.202 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.202 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.202 * [taylor]: Taking taylor expansion of (+ x y) in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of (- x y) in y 1.203 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.203 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.203 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.203 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.203 * [taylor]: Taking taylor expansion of (+ x y) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (- x y) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.204 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.204 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.204 * [taylor]: Taking taylor expansion of (+ x y) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.204 * [taylor]: Taking taylor expansion of (- x y) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.204 * [taylor]: Taking taylor expansion of -1 in y 1.205 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.207 * [taylor]: Taking taylor expansion of 2 in y 1.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.207 * [taylor]: Taking taylor expansion of y in y 1.211 * [taylor]: Taking taylor expansion of 0 in y 1.212 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.212 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.212 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.212 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.212 * [taylor]: Taking taylor expansion of y in y 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.212 * [taylor]: Taking taylor expansion of x in y 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.213 * [taylor]: Taking taylor expansion of x in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.214 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.214 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.215 * [taylor]: Taking taylor expansion of y in x 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.215 * [taylor]: Taking taylor expansion of y in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.215 * [taylor]: Taking taylor expansion of y in x 1.217 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.217 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.217 * [taylor]: Taking taylor expansion of y in x 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.217 * [taylor]: Taking taylor expansion of y in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.219 * [taylor]: Taking taylor expansion of 1 in y 1.221 * [taylor]: Taking taylor expansion of 0 in y 1.224 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.224 * [taylor]: Taking taylor expansion of 2 in y 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.232 * [taylor]: Taking taylor expansion of 0 in y 1.232 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 1.232 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.232 * [taylor]: Taking taylor expansion of -1 in y 1.232 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.232 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.232 * [taylor]: Taking taylor expansion of x in y 1.232 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.233 * [taylor]: Taking taylor expansion of x in y 1.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.233 * [taylor]: Taking taylor expansion of x in y 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.234 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.234 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.234 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.235 * [taylor]: Taking taylor expansion of y in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.236 * [taylor]: Taking taylor expansion of y in x 1.237 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.237 * [taylor]: Taking taylor expansion of -1 in x 1.237 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.237 * [taylor]: Taking taylor expansion of y in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.237 * [taylor]: Taking taylor expansion of y in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.238 * [taylor]: Taking taylor expansion of y in x 1.240 * [taylor]: Taking taylor expansion of 1 in y 1.243 * [taylor]: Taking taylor expansion of 0 in y 1.246 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.246 * [taylor]: Taking taylor expansion of 2 in y 1.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.247 * [taylor]: Taking taylor expansion of y in y 1.254 * [taylor]: Taking taylor expansion of 0 in y 1.254 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.254 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.254 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.254 * [taylor]: Taking taylor expansion of x in y 1.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.254 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.255 * [taylor]: Taking taylor expansion of y in x 1.255 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.255 * [taylor]: Taking taylor expansion of y in x 1.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.255 * [taylor]: Taking taylor expansion of y in y 1.255 * [taylor]: Taking taylor expansion of 0 in y 1.256 * [taylor]: Taking taylor expansion of 1 in y 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.258 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.259 * [taylor]: Taking taylor expansion of x in y 1.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.259 * [taylor]: Taking taylor expansion of y in y 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.260 * [taylor]: Taking taylor expansion of y in x 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.260 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.261 * [taylor]: Taking taylor expansion of y in x 1.261 * [taylor]: Taking taylor expansion of 1 in y 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.265 * [taylor]: Taking taylor expansion of 0 in y 1.267 * [taylor]: Taking taylor expansion of 0 in y 1.272 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.272 * [taylor]: Taking taylor expansion of x in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.273 * [taylor]: Taking taylor expansion of y in x 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.274 * [taylor]: Taking taylor expansion of y in x 1.274 * [taylor]: Taking taylor expansion of 1 in y 1.275 * [taylor]: Taking taylor expansion of 0 in y 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.276 * [taylor]: Taking taylor expansion of y in y 1.278 * [taylor]: Taking taylor expansion of 0 in y 1.280 * [taylor]: Taking taylor expansion of 0 in y 1.282 * * * [progress]: simplifying candidates 1.285 * [simplify]: Simplifying using # : (- (log (+ (pow x 2) (pow y 2))) (log (+ x y))) (log (/ (+ (pow x 2) (pow y 2)) (+ x y))) (exp (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (* (* (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (sqrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (sqrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (- (+ (pow x 2) (pow y 2))) (- (+ x y)) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (sqrt (+ x y))) (/ (cbrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 1) (/ (cbrt (+ (pow x 2) (pow y 2))) (+ x y)) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 1) (/ (cbrt (+ (pow x 2) (pow y 2))) (+ x y)) (/ (sqrt (+ (pow x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (+ (pow x 2) (pow y 2))) (cbrt (+ x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) 1) (/ (sqrt (+ (pow x 2) (pow y 2))) (+ x y)) (/ (sqrt (+ (pow x 2) (pow y 2))) 1) (/ (sqrt (+ (pow x 2) (pow y 2))) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ 1 1) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ 1 1) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (pow 1 2) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ (pow 1 2) (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ (pow 1 2) 1) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (pow 1 2) 1) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ 1 1) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ 1 1) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) 1) (/ (+ (pow x 2) (pow y 2)) 1) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (+ (pow x 3) (pow y 3))) (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y))) (* (+ x y) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2))))) (* (+ x y) (- (pow x 2) (pow y 2))) (- (log (- x y)) (- (log (+ (pow x 2) (pow y 2))) (log (+ x y)))) (- (log (- x y)) (log (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (log (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (exp (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (/ (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* (- x y) (- x y)) (- x y)) (* (* (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (* (cbrt (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (cbrt (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y))))) (cbrt (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (* (* (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (sqrt (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (sqrt (/ (- x y) (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (- (- x y)) (- (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ x (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ y (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y))))) (/ (cbrt (- x y)) (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (/ (cbrt (- x y)) (sqrt (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (cbrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 1)) (/ (cbrt (- x y)) (/ (cbrt (+ (pow x 2) (pow y 2))) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 1)) (/ (cbrt (- x y)) (/ (cbrt (+ (pow x 2) (pow y 2))) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (sqrt (+ (pow x 2) (pow y 2))) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) 1)) (/ (cbrt (- x y)) (/ (sqrt (+ (pow x 2) (pow y 2))) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) 1)) (/ (cbrt (- x y)) (/ (sqrt (+ (pow x 2) (pow y 2))) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1)) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1)) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (pow 1 2) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (pow 1 2) (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (pow 1 2) 1)) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (pow 1 2) 1)) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (sqrt (+ x y)))) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1)) (/ (cbrt (- x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1)) (/ 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y)) (+ x y)) (exp (+ (pow x 2) (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (+ (pow x 4) (- (pow y 4))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (- y x) (- x y) (- x y) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.378 * * * [progress]: adding candidates to table 1.773 * * [progress]: iteration 4 / 4 1.773 * * * [progress]: picking best candidate 1.775 * * * * [pick]: Picked # 1.775 * * * [progress]: localizing error 1.775 * * * [progress]: generating rewritten candidates 1.775 * * * [progress]: generating series expansions 1.775 * * * [progress]: simplifying candidates 1.775 * [simplify]: Simplifying using # : 1.778 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.778 * [simplify]: Simplified to: 1.778 * * * [progress]: adding candidates to table 1.778 * [progress]: [Phase 3 of 3] Extracting. 1.778 * * [regime]: Finding splitpoints for: (# # # #) 1.778 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 1.778 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 1.793 * * * * [regimes]: Trying to branch on y from (# # # #) 1.825 * * * * [regimes]: Trying to branch on x from (# # # #) 1.855 * * * [regime]: Found split indices: #