83.594 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.032 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.033 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.035 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.037 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.040 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.045 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.055 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.092 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.093 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.096 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.117 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.122 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.123 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.123 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.123 * [taylor]: Taking taylor expansion of (+ x y) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (- x y) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.124 * [taylor]: Taking taylor expansion of (+ x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (- x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.124 * [taylor]: Taking taylor expansion of (+ x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (- x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of 2 in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [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 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of 2 in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [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 0.171 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.171 * [taylor]: Taking taylor expansion of -1 in y 0.171 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.175 * [taylor]: Taking taylor expansion of -1 in x 0.175 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of 2 in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.204 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of 1 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.241 * * * [progress]: simplifying candidates 0.242 * [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)))) (neg (* (- x y) (+ x y))) (neg (+ (* 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)) 0.246 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.253 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.284 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.286 * [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)) (neg (+ (* 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))) (+ (* (neg (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))) (+ (* (neg (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)) 0.286 * * * [progress]: adding candidates to table 0.410 * * [progress]: iteration 2 / 4 0.410 * * * [progress]: picking best candidate 0.425 * * * * [pick]: Picked # 0.425 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.435 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.455 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.463 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.488 * * * [progress]: generating series expansions 0.488 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.489 * [approximate]: Taking taylor expansion of (* -1 (/ (- (pow y 2) (pow x 2)) (+ (pow x 2) (pow y 2)))) in (y x) around 0 0.489 * [taylor]: Taking taylor expansion of (* -1 (/ (- (pow y 2) (pow x 2)) (+ (pow x 2) (pow y 2)))) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow x 2) (pow y 2))) in x 0.489 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (* -1 (/ (- (pow y 2) (pow x 2)) (+ (pow x 2) (pow y 2)))) in y 0.489 * [taylor]: Taking taylor expansion of -1 in y 0.489 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow x 2) (pow y 2))) in y 0.489 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (* -1 (/ (- (pow y 2) (pow x 2)) (+ (pow x 2) (pow y 2)))) in y 0.490 * [taylor]: Taking taylor expansion of -1 in y 0.490 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow x 2) (pow y 2))) in y 0.490 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.490 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 1 in x 0.493 * [taylor]: Taking taylor expansion of 0 in x 0.496 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow x 2)))) in x 0.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 0.496 * [taylor]: Taking taylor expansion of 2 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 0 in x 0.505 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (y x) around 0 0.505 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.509 * [taylor]: Taking taylor expansion of -1 in y 0.509 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.512 * [taylor]: Taking taylor expansion of -1 in y 0.512 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.512 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of 0 in x 0.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 0.523 * [taylor]: Taking taylor expansion of 2 in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of 0 in x 0.533 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (y x) around 0 0.533 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.533 * [taylor]: Taking taylor expansion of y 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 x 2)) (/ 1 (pow y 2))) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.536 * [taylor]: Taking taylor expansion of -1 in y 0.537 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.537 * [taylor]: Taking taylor expansion of y in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.537 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.539 * [taylor]: Taking taylor expansion of -1 in y 0.539 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.551 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 0.551 * [taylor]: Taking taylor expansion of 2 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of 0 in x 0.564 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.564 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in (y x) around 0 0.564 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (neg (pow x 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of 0 in x 0.566 * [taylor]: Taking taylor expansion of 1 in x 0.569 * [taylor]: Taking taylor expansion of 0 in x 0.572 * [taylor]: Taking taylor expansion of 0 in x 0.573 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.573 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.575 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of 1 in x 0.577 * [taylor]: Taking taylor expansion of 0 in x 0.579 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow x 2))) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of 0 in x 0.586 * [taylor]: Taking taylor expansion of 0 in x 0.588 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.588 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [taylor]: Taking taylor expansion of 1 in x 0.593 * [taylor]: Taking taylor expansion of 0 in x 0.594 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow x 2))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.602 * [taylor]: Taking taylor expansion of 0 in x 0.604 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.604 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 1 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.611 * [taylor]: Taking taylor expansion of x in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of 1 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of 1 in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.638 * * * [progress]: simplifying candidates 0.647 * [simplify]: Simplifying using # : (- (log (- (pow y 2) (pow x 2))) (log (neg (+ (* x x) (* y y))))) (log (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))))) (exp (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))))) (/ (* (* (- (pow y 2) (pow x 2)) (- (pow y 2) (pow x 2))) (- (pow y 2) (pow x 2))) (* (* (neg (+ (* x x) (* y y))) (neg (+ (* x x) (* y y)))) (neg (+ (* x x) (* y y))))) (* (cbrt (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))))) (cbrt (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y)))))) (cbrt (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))))) (* (* (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y)))) (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))))) (sqrt (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))))) (sqrt 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y x) (cbrt (neg (+ (* x x) (* y y))))) (/ (+ y x) (sqrt (neg (+ (* x x) (* y y))))) (/ (- y x) (sqrt (neg (+ (* x x) (* y y))))) (+ x y) (/ (- y x) (neg (+ (* x x) (* y y)))) (/ (+ y x) -1) (/ (- y x) (+ (* x x) (* y y))) (/ (+ y x) (neg (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- y x) (cbrt (+ (* x x) (* y y)))) (/ (+ y x) (neg (sqrt (+ (* x x) (* y y))))) (/ (- y x) (sqrt (+ (* x x) (* y y)))) (/ (+ y x) -1) (/ (- y x) (+ (* x x) (* y y))) (/ (+ y x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- y x) (neg (cbrt (+ (* x x) (* y y))))) (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (/ (- y x) (neg (sqrt (+ (* x x) (* y y))))) (+ x y) (/ (- y x) (neg (+ (* x x) (* y y)))) (/ (+ y x) (* (cbrt (neg (+ (* x x) (* y y)))) (cbrt (neg (+ (* x x) (* y y)))))) (/ (- y x) (cbrt (neg (+ (* x x) (* y y))))) (/ (+ y x) (sqrt (neg (+ (* x x) (* y y))))) (/ (- y x) (sqrt (neg (+ (* x x) (* y y))))) (+ x y) (/ (- y x) (neg (+ (* x x) (* y y)))) (/ (+ y x) -1) (/ (- y x) (+ (* x x) (* y y))) (/ (+ y x) (neg (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- y x) (cbrt (+ (* x x) (* y y)))) (/ (+ y x) (neg (sqrt (+ (* x x) (* y y))))) (/ (- y x) (sqrt (+ (* x x) (* y y)))) (/ (+ y x) -1) (/ (- y x) (+ (* x x) (* y y))) (/ (+ y x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- y x) (neg (cbrt (+ (* x x) (* y y))))) (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (/ (- y x) (neg (sqrt (+ (* x x) (* y y))))) (+ x y) (/ (- y x) (neg (+ (* x x) (* y y)))) (/ (+ y (sqrt (pow x 2))) (* (cbrt (neg (+ (* x x) (* y y)))) (cbrt (neg (+ (* x x) (* y y)))))) (/ (- y (sqrt (pow x 2))) (cbrt (neg (+ (* x x) (* y y))))) (/ (+ y (sqrt (pow x 2))) (sqrt (neg (+ (* x x) (* y y))))) (/ (- y (sqrt (pow x 2))) (sqrt (neg (+ (* x x) (* y y))))) (+ (sqrt (pow x 2)) y) (/ (- y (sqrt (pow x 2))) (neg (+ (* x x) (* y y)))) (/ (+ y (sqrt (pow x 2))) -1) (/ (- y (sqrt (pow x 2))) (+ (* x x) (* y y))) (/ (+ y (sqrt (pow x 2))) (neg (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- y (sqrt (pow x 2))) (cbrt (+ (* x x) (* y y)))) (/ (+ y (sqrt (pow x 2))) (neg (sqrt (+ (* x x) (* y y))))) (/ (- y (sqrt (pow x 2))) (sqrt (+ (* x x) (* y y)))) (/ (+ y (sqrt (pow x 2))) -1) (/ (- y (sqrt (pow x 2))) (+ (* x x) (* y y))) (/ (+ y (sqrt (pow x 2))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- y (sqrt (pow x 2))) (neg (cbrt (+ (* x x) (* y y))))) (/ (+ y (sqrt (pow x 2))) (sqrt (+ (* x x) (* y y)))) (/ (- y (sqrt (pow x 2))) (neg (sqrt (+ (* x x) (* y y))))) (+ (sqrt (pow x 2)) y) (/ (- y (sqrt (pow x 2))) (neg (+ (* x x) (* y y)))) (/ (+ y x) (* (cbrt (neg (+ (* x x) (* y y)))) (cbrt (neg (+ (* x x) (* y y)))))) (/ (- y x) (cbrt (neg (+ (* x x) (* y y))))) (/ (+ y x) (sqrt (neg (+ (* x x) (* y y))))) (/ (- y x) (sqrt (neg (+ (* x x) (* y y))))) (+ x y) (/ (- y x) (neg (+ (* x x) (* y y)))) (/ (+ y x) -1) (/ (- y x) (+ (* x x) (* y y))) (/ (+ y x) (neg (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- y x) (cbrt (+ (* x x) (* y y)))) (/ (+ y x) (neg (sqrt (+ (* x x) (* y y))))) (/ (- y x) (sqrt (+ (* x x) (* y y)))) (/ (+ y x) -1) (/ (- y x) (+ (* x x) (* y y))) (/ (+ y x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- y x) (neg (cbrt (+ (* x x) (* y y))))) (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (/ (- y x) (neg (sqrt (+ (* x x) (* y y))))) (+ x y) (/ (- y x) (neg (+ (* x x) (* y y)))) (/ 1 (* (cbrt (neg (+ (* x x) (* y y)))) (cbrt (neg (+ (* x x) (* y y)))))) (/ (- (pow y 2) (pow x 2)) (cbrt (neg (+ (* x x) (* y y))))) (/ 1 (sqrt (neg (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (sqrt (neg (+ (* x x) (* y y))))) 1 (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y)))) -1 (/ (- (pow y 2) (pow x 2)) (+ (* x x) (* y y))) (/ 1 (neg (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- (pow y 2) (pow x 2)) (cbrt (+ (* x x) (* y y)))) (/ 1 (neg (sqrt (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (sqrt (+ (* x x) (* y y)))) -1 (/ (- (pow y 2) (pow x 2)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (neg (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (- (pow y 2) (pow x 2)) (neg (sqrt (+ (* x x) (* y y))))) 1 (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y)))) (/ 1 (* (cbrt (neg (+ (* x x) (* y y)))) (cbrt (neg (+ (* x x) (* y y)))))) (/ (- (pow y 2) (pow x 2)) (cbrt (neg (+ (* x x) (* y y))))) (/ 1 (sqrt (neg (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (sqrt (neg (+ (* x x) (* y y))))) 1 (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y)))) -1 (/ (- (pow y 2) (pow x 2)) (+ (* x x) (* y y))) (/ 1 (neg (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- (pow y 2) (pow x 2)) (cbrt (+ (* x x) (* y y)))) (/ 1 (neg (sqrt (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (sqrt (+ (* x x) (* y y)))) -1 (/ (- (pow y 2) (pow x 2)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (neg (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (- (pow y 2) (pow x 2)) (neg (sqrt (+ (* x x) (* y y))))) 1 (/ (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y)))) (/ 1 (neg (+ (* x x) (* y y)))) (/ (neg (+ (* x x) (* y y))) (- (pow y 2) (pow x 2))) (/ (- (pow y 2) (pow x 2)) (* (cbrt (neg (+ (* x x) (* y y)))) (cbrt (neg (+ (* x x) (* y y)))))) (/ (- (pow y 2) (pow x 2)) (sqrt (neg (+ (* x x) (* y y))))) (- (pow y 2) (pow x 2)) (/ (- (pow y 2) (pow x 2)) -1) (/ (- (pow y 2) (pow x 2)) (neg (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- (pow y 2) (pow x 2)) (neg (sqrt (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) -1) (/ (- (pow y 2) (pow x 2)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (pow y 2) (pow x 2)) (sqrt (+ (* x x) (* y y)))) (- (pow y 2) (pow x 2)) (/ (neg (+ (* x x) (* y y))) (cbrt (- (pow y 2) (pow x 2)))) (/ (neg (+ (* x x) (* y y))) (sqrt (- (pow y 2) (pow x 2)))) (/ (neg (+ (* x x) (* y y))) (- (pow y 2) (pow x 2))) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- y (sqrt (pow x 2)))) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- y (sqrt (pow x 2)))) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- (sqrt (pow y 2)) x)) (/ (neg (+ (* x x) (* y y))) (- (sqrt (pow y 2)) x)) (/ (neg (+ (* x x) (* y y))) (- (sqrt (pow y 2)) (sqrt (pow x 2)))) (/ (neg (+ (* x x) (* y y))) (- (sqrt (pow y 2)) x)) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- y (sqrt (pow x 2)))) (/ (neg (+ (* x x) (* y y))) (- y x)) (/ (neg (+ (* x x) (* y y))) (- (pow y 2) (pow x 2))) (/ (neg (+ (* x x) (* y y))) (- (pow y 2) (pow x 2))) (/ (- (pow y 2) (pow x 2)) (- (neg (pow (pow x 2) 3)) (pow y 6))) (/ (- (pow y 2) (pow x 2)) (+ (neg (pow x 4)) (neg (neg (pow y 4))))) (* (+ (+ (pow y 4) (pow x 4)) (* (pow y 2) (pow x 2))) (neg (+ (* x x) (* y y)))) (* (neg (+ (* x x) (* y y))) (+ (pow y 2) (pow x 2))) (exp (- (pow y 2) (pow x 2))) (log (- (pow y 2) (pow x 2))) (exp (- (pow y 2) (pow x 2))) (* (cbrt (- (pow y 2) (pow x 2))) (cbrt (- (pow y 2) (pow x 2)))) (cbrt (- (pow y 2) (pow x 2))) (pow (- (pow y 2) (pow x 2)) 3) (sqrt (- (pow y 2) (pow x 2))) (sqrt (- (pow y 2) (pow x 2))) (- (pow y 6) (pow x 6)) (+ (+ (pow y 4) (pow x 4)) (* (pow y 2) (pow x 2))) (neg (pow x 2)) (- (pow y 4) (pow x 4)) (+ (* x x) (* y y)) (+ x y) (- y x) (+ x y) (- y x) (+ (sqrt (pow x 2)) y) (- y (sqrt (pow x 2))) (+ x y) (- y x) (+ x y) (- y x) (+ x y) (- y x) (+ (sqrt (pow x 2)) y) (- y (sqrt (pow x 2))) (+ x y) (- y x) (+ x (sqrt (pow y 2))) (- (sqrt (pow y 2)) x) (+ x (sqrt (pow y 2))) (- (sqrt (pow y 2)) x) (+ (sqrt (pow y 2)) (sqrt (pow x 2))) (- (sqrt (pow y 2)) (sqrt (pow x 2))) (+ x (sqrt (pow y 2))) (- (sqrt (pow y 2)) x) (+ x y) (- y x) (+ x y) (- y x) (+ (sqrt (pow x 2)) y) (- y (sqrt (pow x 2))) (+ x y) (- y x) (- (pow y 2) (pow x 2)) (- (pow y 2) (pow x 2)) (neg (pow x 2)) (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 x 4) (pow y 4)) (* (* x x) (* y y))) (+ (pow x 4) (neg (pow y 4))) (- (* x x) (* y y)) 1 -1 -1 (- (pow y 2) (pow x 2)) (- (pow y 2) (pow x 2)) (- (pow y 2) (pow x 2)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.733 * * * [progress]: adding candidates to table 1.465 * * [progress]: iteration 3 / 4 1.465 * * * [progress]: picking best candidate 1.477 * * * * [pick]: Picked # 1.477 * * * [progress]: localizing error 1.489 * * * [progress]: generating rewritten candidates 1.489 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.492 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.499 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.508 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.552 * * * [progress]: generating series expansions 1.552 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.552 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.552 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.553 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.553 * [taylor]: Taking taylor expansion of y in x 1.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.554 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.554 * [taylor]: Taking taylor expansion of y in x 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [taylor]: Taking taylor expansion of 0 in y 1.557 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.557 * [taylor]: Taking taylor expansion of 1/2 in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.560 * [taylor]: Taking taylor expansion of 0 in y 1.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.565 * [taylor]: Taking taylor expansion of y in x 1.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.569 * [taylor]: Taking taylor expansion of y in x 1.572 * [taylor]: Taking taylor expansion of 1 in y 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.579 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.579 * [taylor]: Taking taylor expansion of 1/2 in y 1.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.583 * [taylor]: Taking taylor expansion of 0 in y 1.585 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.585 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.585 * [taylor]: Taking taylor expansion of x in y 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.585 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.588 * [taylor]: Taking taylor expansion of x in x 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.589 * [taylor]: Taking taylor expansion of y in x 1.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.593 * [taylor]: Taking taylor expansion of y in x 1.596 * [taylor]: Taking taylor expansion of 1 in y 1.596 * [taylor]: Taking taylor expansion of 0 in y 1.598 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.598 * [taylor]: Taking taylor expansion of 1/2 in y 1.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.598 * [taylor]: Taking taylor expansion of y in y 1.602 * [taylor]: Taking taylor expansion of 0 in y 1.604 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.604 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.604 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.604 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.604 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.604 * [taylor]: Taking taylor expansion of x in y 1.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.604 * [taylor]: Taking taylor expansion of y in y 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.605 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.605 * [taylor]: Taking taylor expansion of y in x 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.606 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.606 * [taylor]: Taking taylor expansion of y in x 1.606 * [taylor]: Taking taylor expansion of y in y 1.606 * [taylor]: Taking taylor expansion of 0 in y 1.608 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.608 * [taylor]: Taking taylor expansion of 1/2 in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.611 * [taylor]: Taking taylor expansion of 0 in y 1.611 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.612 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.612 * [taylor]: Taking taylor expansion of x in y 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.612 * [taylor]: Taking taylor expansion of y in y 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.616 * [taylor]: Taking taylor expansion of y in x 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.620 * [taylor]: Taking taylor expansion of y in x 1.622 * [taylor]: Taking taylor expansion of 1 in y 1.622 * [taylor]: Taking taylor expansion of 0 in y 1.625 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.625 * [taylor]: Taking taylor expansion of 1/2 in y 1.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.625 * [taylor]: Taking taylor expansion of y in y 1.629 * [taylor]: Taking taylor expansion of 0 in y 1.631 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.631 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.631 * [taylor]: Taking taylor expansion of x in y 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.631 * [taylor]: Taking taylor expansion of y in y 1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.635 * [taylor]: Taking taylor expansion of y in x 1.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.638 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.638 * [taylor]: Taking taylor expansion of y in x 1.641 * [taylor]: Taking taylor expansion of 1 in y 1.641 * [taylor]: Taking taylor expansion of 0 in y 1.644 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.644 * [taylor]: Taking taylor expansion of 1/2 in y 1.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.644 * [taylor]: Taking taylor expansion of y in y 1.648 * [taylor]: Taking taylor expansion of 0 in y 1.650 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.650 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in (x y) around 0 1.650 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in y 1.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 1.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.650 * [taylor]: Taking taylor expansion of x in y 1.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.651 * [taylor]: Taking taylor expansion of (- x y) in y 1.651 * [taylor]: Taking taylor expansion of x in y 1.651 * [taylor]: Taking taylor expansion of y in y 1.651 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 1.651 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.651 * [taylor]: Taking taylor expansion of y in x 1.652 * [taylor]: Taking taylor expansion of (- x y) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of y in x 1.652 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in x 1.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 1.652 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.652 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.652 * [taylor]: Taking taylor expansion of y in x 1.653 * [taylor]: Taking taylor expansion of (- x y) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [taylor]: Taking taylor expansion of y in x 1.653 * [taylor]: Taking taylor expansion of -1 in y 1.654 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.654 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.663 * [taylor]: Taking taylor expansion of 1/2 in y 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.663 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.663 * [taylor]: Taking taylor expansion of y in y 1.671 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 1.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.671 * [taylor]: Taking taylor expansion of 1/2 in y 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.671 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.671 * [taylor]: Taking taylor expansion of y in y 1.679 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 1.679 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 1.679 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.679 * [taylor]: Taking taylor expansion of x in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.679 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.679 * [taylor]: Taking taylor expansion of x in y 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.684 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.684 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.684 * [taylor]: Taking taylor expansion of y in x 1.684 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 1.689 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.689 * [taylor]: Taking taylor expansion of y in x 1.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.690 * [taylor]: Taking taylor expansion of y in x 1.694 * [taylor]: Taking taylor expansion of 1 in y 1.695 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 1.695 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.695 * [taylor]: Taking taylor expansion of y in y 1.701 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 1.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.701 * [taylor]: Taking taylor expansion of 1/2 in y 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.712 * [taylor]: Taking taylor expansion of 1/2 in y 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.712 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.712 * [taylor]: Taking taylor expansion of y in y 1.719 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 1.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in y 1.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.719 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.719 * [taylor]: Taking taylor expansion of x in y 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.720 * [taylor]: Taking taylor expansion of y in y 1.723 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.724 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.724 * [taylor]: Taking taylor expansion of x in y 1.724 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in x 1.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.725 * [taylor]: Taking taylor expansion of y in x 1.728 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.728 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.728 * [taylor]: Taking taylor expansion of y in x 1.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.728 * [taylor]: Taking taylor expansion of x in x 1.729 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in x 1.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.730 * [taylor]: Taking taylor expansion of y in x 1.733 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.733 * [taylor]: Taking taylor expansion of y in x 1.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.735 * [taylor]: Taking taylor expansion of -1 in y 1.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.747 * [taylor]: Taking taylor expansion of 1/2 in y 1.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.747 * [taylor]: Taking taylor expansion of y in y 1.756 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 1.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.756 * [taylor]: Taking taylor expansion of 1/2 in y 1.756 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.757 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.764 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.764 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.764 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.764 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.764 * [taylor]: Taking taylor expansion of (+ x y) in y 1.764 * [taylor]: Taking taylor expansion of x in y 1.764 * [taylor]: Taking taylor expansion of y in y 1.764 * [taylor]: Taking taylor expansion of (- x y) in y 1.764 * [taylor]: Taking taylor expansion of x in y 1.764 * [taylor]: Taking taylor expansion of y in y 1.764 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.764 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.764 * [taylor]: Taking taylor expansion of x in y 1.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.764 * [taylor]: Taking taylor expansion of y in y 1.765 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.765 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.765 * [taylor]: Taking taylor expansion of (+ x y) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (- x y) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.765 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.765 * [taylor]: Taking taylor expansion of (+ x y) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (- x y) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.766 * [taylor]: Taking taylor expansion of y in x 1.766 * [taylor]: Taking taylor expansion of -1 in y 1.768 * [taylor]: Taking taylor expansion of 0 in y 1.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.771 * [taylor]: Taking taylor expansion of 2 in y 1.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.771 * [taylor]: Taking taylor expansion of y in y 1.778 * [taylor]: Taking taylor expansion of 0 in y 1.778 * [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 1.778 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.779 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.779 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.779 * [taylor]: Taking taylor expansion of x in y 1.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.779 * [taylor]: Taking taylor expansion of y in y 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.779 * [taylor]: Taking taylor expansion of y in y 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.779 * [taylor]: Taking taylor expansion of x in y 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.779 * [taylor]: Taking taylor expansion of x in y 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.780 * [taylor]: Taking taylor expansion of y in y 1.782 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.782 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.782 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.783 * [taylor]: Taking taylor expansion of y in x 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.783 * [taylor]: Taking taylor expansion of y in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.784 * [taylor]: Taking taylor expansion of y in x 1.786 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.786 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.786 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.786 * [taylor]: Taking taylor expansion of y in x 1.786 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.786 * [taylor]: Taking taylor expansion of y in x 1.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.788 * [taylor]: Taking taylor expansion of y in x 1.789 * [taylor]: Taking taylor expansion of 1 in y 1.792 * [taylor]: Taking taylor expansion of 0 in y 1.798 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 1.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.798 * [taylor]: Taking taylor expansion of 2 in y 1.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.798 * [taylor]: Taking taylor expansion of y in y 1.808 * [taylor]: Taking taylor expansion of 0 in y 1.809 * [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 1.809 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.809 * [taylor]: Taking taylor expansion of -1 in y 1.809 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.809 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.809 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.809 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.809 * [taylor]: Taking taylor expansion of x in y 1.809 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.809 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.809 * [taylor]: Taking taylor expansion of y in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.810 * [taylor]: Taking taylor expansion of x in y 1.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.810 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.810 * [taylor]: Taking taylor expansion of x in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.812 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.812 * [taylor]: Taking taylor expansion of -1 in x 1.812 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.812 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.813 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.813 * [taylor]: Taking taylor expansion of y in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.814 * [taylor]: Taking taylor expansion of y in x 1.816 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.816 * [taylor]: Taking taylor expansion of -1 in x 1.816 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.816 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.816 * [taylor]: Taking taylor expansion of y in x 1.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.817 * [taylor]: Taking taylor expansion of y in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.818 * [taylor]: Taking taylor expansion of y in x 1.821 * [taylor]: Taking taylor expansion of 1 in y 1.830 * [taylor]: Taking taylor expansion of 0 in y 1.836 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 1.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.836 * [taylor]: Taking taylor expansion of 2 in y 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.836 * [taylor]: Taking taylor expansion of y in y 1.847 * [taylor]: Taking taylor expansion of 0 in y 1.847 * * * [progress]: simplifying candidates 1.850 * [simplify]: Simplifying using # 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y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- (* x x) (* y y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) y x (* -1 x) y x (* -1 x) -1 1 -1 -1 1 1 1.922 * * * [progress]: adding candidates to table 2.697 * * [progress]: iteration 4 / 4 2.697 * * * [progress]: picking best candidate 2.705 * * * * [pick]: Picked # 2.705 * * * [progress]: localizing error 2.715 * * * [progress]: generating rewritten candidates 2.715 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.726 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.747 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 2.761 * * * [progress]: generating series expansions 2.761 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.762 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.762 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 2.762 * [taylor]: Taking taylor expansion of (+ x y) in y 2.762 * [taylor]: Taking taylor expansion of x in y 2.762 * [taylor]: Taking taylor expansion of y in y 2.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.762 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.762 * [taylor]: Taking taylor expansion of x in y 2.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.762 * [taylor]: Taking taylor expansion of y in y 2.762 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 2.762 * [taylor]: Taking taylor expansion of (+ x y) in x 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [taylor]: Taking taylor expansion of y in x 2.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.762 * [taylor]: Taking taylor expansion of y in x 2.762 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 2.762 * [taylor]: Taking taylor expansion of (+ x y) in x 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [taylor]: Taking taylor expansion of y in x 2.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.762 * [taylor]: Taking taylor expansion of x in x 2.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.762 * [taylor]: Taking taylor expansion of y in x 2.763 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.763 * [taylor]: Taking taylor expansion of y in y 2.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.765 * [taylor]: Taking taylor expansion of y in y 2.770 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 3))) in y 2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.770 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.770 * [taylor]: Taking taylor expansion of y in y 2.779 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.779 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.779 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.779 * [taylor]: Taking taylor expansion of y in y 2.780 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.780 * [taylor]: Taking taylor expansion of x in y 2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.780 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.780 * [taylor]: Taking taylor expansion of x in y 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.780 * [taylor]: Taking taylor expansion of y in y 2.782 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.782 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.782 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.782 * [taylor]: Taking taylor expansion of y in x 2.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.782 * [taylor]: Taking taylor expansion of x in x 2.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.782 * [taylor]: Taking taylor expansion of x in x 2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.783 * [taylor]: Taking taylor expansion of y in x 2.784 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.784 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.784 * [taylor]: Taking taylor expansion of y in x 2.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.784 * [taylor]: Taking taylor expansion of x in x 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.785 * [taylor]: Taking taylor expansion of x in x 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.786 * [taylor]: Taking taylor expansion of y in x 2.787 * [taylor]: Taking taylor expansion of 1 in y 2.789 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.789 * [taylor]: Taking taylor expansion of y in y 2.794 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 2.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.794 * [taylor]: Taking taylor expansion of y in y 2.800 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 2.800 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.800 * [taylor]: Taking taylor expansion of -1 in y 2.800 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.800 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.800 * [taylor]: Taking taylor expansion of y in y 2.800 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.800 * [taylor]: Taking taylor expansion of x in y 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.800 * [taylor]: Taking taylor expansion of x in y 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.800 * [taylor]: Taking taylor expansion of y in y 2.802 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.802 * [taylor]: Taking taylor expansion of -1 in x 2.802 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.802 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.802 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.802 * [taylor]: Taking taylor expansion of y in x 2.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.803 * [taylor]: Taking taylor expansion of y in x 2.805 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.805 * [taylor]: Taking taylor expansion of -1 in x 2.805 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.805 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.805 * [taylor]: Taking taylor expansion of y in x 2.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.805 * [taylor]: Taking taylor expansion of x in x 2.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.805 * [taylor]: Taking taylor expansion of x in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.806 * [taylor]: Taking taylor expansion of y in x 2.808 * [taylor]: Taking taylor expansion of -1 in y 2.810 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 2.811 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.811 * [taylor]: Taking taylor expansion of y in y 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.816 * [taylor]: Taking taylor expansion of y in y 2.821 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.822 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.822 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 2.822 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.822 * [taylor]: Taking taylor expansion of (+ x y) in y 2.822 * [taylor]: Taking taylor expansion of x in y 2.822 * [taylor]: Taking taylor expansion of y in y 2.822 * [taylor]: Taking taylor expansion of (- x y) in y 2.822 * [taylor]: Taking taylor expansion of x in y 2.822 * [taylor]: Taking taylor expansion of y in y 2.822 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.822 * [taylor]: Taking taylor expansion of x in y 2.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.822 * [taylor]: Taking taylor expansion of y in y 2.823 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.823 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.823 * [taylor]: Taking taylor expansion of (+ x y) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.823 * [taylor]: Taking taylor expansion of (- x y) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.823 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.823 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 2.823 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.823 * [taylor]: Taking taylor expansion of (+ x y) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.823 * [taylor]: Taking taylor expansion of (- x y) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.823 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.823 * [taylor]: Taking taylor expansion of y in x 2.824 * [taylor]: Taking taylor expansion of -1 in y 2.825 * [taylor]: Taking taylor expansion of 0 in y 2.828 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.828 * [taylor]: Taking taylor expansion of 2 in y 2.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.828 * [taylor]: Taking taylor expansion of y in y 2.841 * [taylor]: Taking taylor expansion of 0 in y 2.842 * [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 2.842 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.842 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 2.842 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.842 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.842 * [taylor]: Taking taylor expansion of x in y 2.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.842 * [taylor]: Taking taylor expansion of y in y 2.842 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.842 * [taylor]: Taking taylor expansion of y in y 2.843 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.843 * [taylor]: Taking taylor expansion of x in y 2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.843 * [taylor]: Taking taylor expansion of x in y 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.843 * [taylor]: Taking taylor expansion of y in y 2.846 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.846 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.846 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.846 * [taylor]: Taking taylor expansion of y in x 2.846 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.846 * [taylor]: Taking taylor expansion of y in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.848 * [taylor]: Taking taylor expansion of y in x 2.849 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.849 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 2.849 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.850 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.850 * [taylor]: Taking taylor expansion of y in x 2.850 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.850 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.850 * [taylor]: Taking taylor expansion of y in x 2.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.850 * [taylor]: Taking taylor expansion of x in x 2.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.850 * [taylor]: Taking taylor expansion of x in x 2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.851 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.851 * [taylor]: Taking taylor expansion of y in x 2.853 * [taylor]: Taking taylor expansion of 1 in y 2.856 * [taylor]: Taking taylor expansion of 0 in y 2.861 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 2.861 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.862 * [taylor]: Taking taylor expansion of 2 in y 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.862 * [taylor]: Taking taylor expansion of y in y 2.872 * [taylor]: Taking taylor expansion of 0 in y 2.872 * [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 2.872 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.872 * [taylor]: Taking taylor expansion of -1 in y 2.872 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.872 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 2.873 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.873 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.873 * [taylor]: Taking taylor expansion of y in y 2.873 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.873 * [taylor]: Taking taylor expansion of x in y 2.873 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.873 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.873 * [taylor]: Taking taylor expansion of y in y 2.873 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.873 * [taylor]: Taking taylor expansion of x in y 2.873 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.873 * [taylor]: Taking taylor expansion of x in y 2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.874 * [taylor]: Taking taylor expansion of y in y 2.876 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.876 * [taylor]: Taking taylor expansion of -1 in x 2.876 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.876 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.876 * [taylor]: Taking taylor expansion of y in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.877 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.877 * [taylor]: Taking taylor expansion of y in x 2.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.878 * [taylor]: Taking taylor expansion of y in x 2.880 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.880 * [taylor]: Taking taylor expansion of -1 in x 2.880 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.880 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 2.880 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.880 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.880 * [taylor]: Taking taylor expansion of y in x 2.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.880 * [taylor]: Taking taylor expansion of x in x 2.881 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.881 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.881 * [taylor]: Taking taylor expansion of y in x 2.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.881 * [taylor]: Taking taylor expansion of x in x 2.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.881 * [taylor]: Taking taylor expansion of x in x 2.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.882 * [taylor]: Taking taylor expansion of y in x 2.884 * [taylor]: Taking taylor expansion of 1 in y 2.888 * [taylor]: Taking taylor expansion of 0 in y 2.894 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 2.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.894 * [taylor]: Taking taylor expansion of 2 in y 2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.894 * [taylor]: Taking taylor expansion of y in y 2.906 * [taylor]: Taking taylor expansion of 0 in y 2.906 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 2.906 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 2.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.906 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.906 * [taylor]: Taking taylor expansion of x in y 2.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.906 * [taylor]: Taking taylor expansion of y in y 2.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.906 * [taylor]: Taking taylor expansion of x in x 2.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.907 * [taylor]: Taking taylor expansion of y in y 2.907 * [taylor]: Taking taylor expansion of 0 in y 2.908 * [taylor]: Taking taylor expansion of 1 in y 2.910 * [taylor]: Taking taylor expansion of 0 in y 2.913 * [taylor]: Taking taylor expansion of 0 in y 2.913 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.913 * [taylor]: Taking taylor expansion of x in y 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.913 * [taylor]: Taking taylor expansion of y in y 2.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.915 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.915 * [taylor]: Taking taylor expansion of y in x 2.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.915 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.915 * [taylor]: Taking taylor expansion of x in x 2.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.916 * [taylor]: Taking taylor expansion of y in x 2.916 * [taylor]: Taking taylor expansion of 1 in y 2.923 * [taylor]: Taking taylor expansion of 0 in y 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.924 * [taylor]: Taking taylor expansion of y in y 2.927 * [taylor]: Taking taylor expansion of 0 in y 2.931 * [taylor]: Taking taylor expansion of 0 in y 2.932 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.932 * [taylor]: Taking taylor expansion of x in y 2.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.933 * [taylor]: Taking taylor expansion of y in y 2.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.933 * [taylor]: Taking taylor expansion of x in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.934 * [taylor]: Taking taylor expansion of y in x 2.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.934 * [taylor]: Taking taylor expansion of x in x 2.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.935 * [taylor]: Taking taylor expansion of y in x 2.936 * [taylor]: Taking taylor expansion of 1 in y 2.937 * [taylor]: Taking taylor expansion of 0 in y 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.938 * [taylor]: Taking taylor expansion of y in y 2.941 * [taylor]: Taking taylor expansion of 0 in y 2.944 * [taylor]: Taking taylor expansion of 0 in y 2.946 * * * [progress]: simplifying candidates 2.948 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (+ (pow x 2) (pow y 2)))) (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (exp (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2)))) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (/ (+ 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) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (neg (+ x y)) (neg (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (cbrt (+ x y)) (cbrt (+ (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)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (pow 1 2)) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ 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)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) (pow 1 2)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (pow 1 2)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (pow 1 2)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) 1) (/ (+ x y) (pow 1 2)) (/ (+ x y) 1) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3))) (/ (+ x y) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 2) (pow y 2)) (- x y)) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (pow x 2) (pow y 2))))) (+ (log (- x y)) (log (/ (+ x y) (+ (pow x 2) (pow y 2))))) (log (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (exp (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (* (* (- x y) (- x y)) (- 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) (+ (pow x 2) (pow y 2))) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (cbrt (* (- 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) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (pow x 2) (pow y 2))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 2) (pow y 2))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (* (- x y) (sqrt (/ (+ x y) (+ (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)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (pow 1 2))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ (sqrt (+ x y)) (pow 1 2))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ 1 (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (pow 1 2))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ 1 (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (pow 1 2))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)))) (* (- x y) (/ (+ x y) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))))) (* (cbrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (sqrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (sqrt x) (sqrt 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 3) (pow y 3)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (exp (pow x 2)) (exp (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 x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (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 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.954 * * [simplify]: iteration 0 : 390 enodes (cost 902 ) 2.962 * * [simplify]: iteration 1 : 1957 enodes (cost 823 ) 2.996 * * [simplify]: iteration 2 : 5001 enodes (cost 822 ) 3.001 * [simplify]: Simplified to: (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (exp (/ (+ x y) (+ (pow x 2) (pow y 2)))) (pow (/ (+ x y) (+ (pow x 2) (pow y 2))) 3) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (pow (/ (+ x y) (+ (pow x 2) (pow y 2))) 3) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (neg (+ x y)) (neg (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (cbrt (+ x y)) (cbrt (+ (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)))) (* (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 x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ 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)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (+ x y) (+ x y) (+ x y) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3))) (/ (+ x y) (+ (pow x 4) (neg (pow y 4)))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (pow y 2))) (* (+ (pow x 2) (pow y 2)) (- x y)) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (log 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2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (- x y) (sqrt (+ (pow x 2) (pow y 2)))) (- x y) (- x y) (- x y) (- x y) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)))) (/ (- x y) (/ (+ (pow x 4) (neg (pow y 4))) (+ x y))) (* (cbrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (sqrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (sqrt x) (sqrt 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 3) (pow y 3)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (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) (neg (pow y 4))) (* (- x y) (+ x y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 3.002 * * * [progress]: adding candidates to table 3.304 * [progress]: [Phase 3 of 3] Extracting. 3.304 * * [regime]: Finding splitpoints for: (# # # # #) 3.305 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.305 * * * * [regimes]: Trying to branch on y from (# # # # #) 3.366 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.416 * * * [regime]: Found split indices: #