19.149 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.032 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.033 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.035 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.037 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.048 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.059 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.097 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.098 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.104 * * * * [pick]: Picked # 0.104 * * * [progress]: localizing error 0.113 * * * [progress]: generating rewritten candidates 0.113 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.125 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.130 * * * [progress]: generating series expansions 0.130 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.130 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.130 * [taylor]: Taking taylor expansion of (+ x y) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (- x y) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.131 * [taylor]: Taking taylor expansion of (+ x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (- x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.132 * [taylor]: Taking taylor expansion of (+ x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (- x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of -1 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.135 * [taylor]: Taking taylor expansion of 2 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [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 0.141 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.141 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 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 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [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 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.156 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.156 * [taylor]: Taking taylor expansion of 2 in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [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 0.167 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.183 * [taylor]: Taking taylor expansion of 2 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.192 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * * * [progress]: simplifying candidates 0.220 * [simplify]: Simplifying using # : (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y 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)) 0.225 * * [simplify]: iteration 0 : 322 enodes (cost 380 ) 0.232 * * [simplify]: iteration 1 : 1875 enodes (cost 324 ) 0.263 * * [simplify]: iteration 2 : 5001 enodes (cost 308 ) 0.265 * [simplify]: Simplified to: (expm1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log1p (/ (* (- 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)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (exp (/ (- x y) (fma x x (* y y)))) (+ x y)) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (fma x x (* y y)) (- x 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) (/ (fma x x (* y y)) (- x y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (pow y 2) (pow x 2)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (hypot x y)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (/ (fma x x (* y y)) (- x y)) (+ x y)) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (/ (hypot x y) (+ x y))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (* (/ (+ x y) (fma (* (pow y 4) y) y (pow x 6))) (- x y)) (/ 1 (+ (* x x) (* y y))) (* (fma y (- y x) (pow x 2)) (* (fma x x (fma y y (* x y))) (fma x x (* y y)))) (* (* (- x y) (fma x x (fma y y (* x y)))) (fma x x (* y y))) (* (fma y (- y x) (pow x 2)) (* (+ x y) (fma x x (* y y)))) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- x y) (fma x x (* y y))) (* (fma x x (fma y y (* x y))) (fma x x (* y y))) (* (+ x y) (fma x x (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (* (fma x x (* y y)) 1)) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma (fma y y (* x y)) (* y (- y x)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.265 * * * [progress]: adding candidates to table 0.366 * * [progress]: iteration 2 / 4 0.366 * * * [progress]: picking best candidate 0.369 * * * * [pick]: Picked # 0.369 * * * [progress]: localizing error 0.369 * * * [progress]: generating rewritten candidates 0.369 * * * [progress]: generating series expansions 0.369 * * * [progress]: simplifying candidates 0.369 * [simplify]: Simplifying using # : 0.372 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.372 * [simplify]: Simplified to: 0.372 * * * [progress]: adding candidates to table 0.372 * * [progress]: iteration 3 / 4 0.372 * * * [progress]: picking best candidate 0.374 * * * * [pick]: Picked # 0.374 * * * [progress]: localizing error 0.383 * * * [progress]: generating rewritten candidates 0.383 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.391 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.405 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.411 * * * [progress]: generating series expansions 0.411 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.412 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of (+ x y) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of (+ x y) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of (+ x y) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.429 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.429 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.444 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.444 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.444 * [taylor]: Taking taylor expansion of -1 in y 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.448 * [taylor]: Taking taylor expansion of -1 in x 0.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.461 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.461 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.461 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.461 * [taylor]: Taking taylor expansion of (+ x y) in y 0.461 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (- x y) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.462 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.462 * [taylor]: Taking taylor expansion of (+ x y) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (- x y) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.463 * [taylor]: Taking taylor expansion of (+ x y) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (- x y) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of -1 in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of 2 in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [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 0.472 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.472 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.476 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.479 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.488 * [taylor]: Taking taylor expansion of 2 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [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 0.497 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.497 * [taylor]: Taking taylor expansion of -1 in y 0.497 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of 1 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.515 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.515 * [taylor]: Taking taylor expansion of 2 in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.524 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.525 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of 1 in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.532 * [taylor]: Taking taylor expansion of 1 in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of 1 in y 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.551 * * * [progress]: simplifying candidates 0.552 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (+ (* x x) (* y y)))) (log1p (/ (+ x y) (+ (* x x) (* y y)))) (- (log (+ x y)) (log (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (* (* (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) 1) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ 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)) (expm1 (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log1p (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (* x x) (* y y))))) (+ (log (- x y)) (log (/ (+ x y) (+ (* 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 x) (* y y))) (/ (+ x y) (+ (* x x) (* y 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)))))) (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))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (* (- x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x 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))))) (* (cbrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (sqrt (- x y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y 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)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.559 * * [simplify]: iteration 0 : 401 enodes (cost 799 ) 0.568 * * [simplify]: iteration 1 : 2118 enodes (cost 704 ) 0.603 * * [simplify]: iteration 2 : 5002 enodes (cost 688 ) 0.607 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ (* x x) (* y y)))) (log1p (/ (+ x y) (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (log (/ (+ x y) (+ (* x x) (* y y)))) (exp (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (fma x x (* y y))) 3) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (pow (/ (+ x y) (fma x x (* y y))) 3) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (+ (* x x) (* y y)))) (- (+ x y)) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (cbrt (+ x y)) (/ (hypot x y) (cbrt (+ x y)))) (/ (/ (cbrt (+ x y)) 1) (hypot x y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (hypot x y)) (/ (sqrt (+ x y)) (hypot x y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (fma x x (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)) 1 (/ (+ x y) (fma x x (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)) 1 (/ (+ x y) (fma x x (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (fma x x (* y y)) (+ x y)) (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (hypot x y)) (+ x y) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ (fma x x (* y y)) (sqrt (+ x y))) (/ (fma x x (* y y)) (+ x y)) (/ (fma x x (* y y)) (+ x y)) (/ (+ x y) (fma (* (pow y 4) y) y (pow x 6))) (/ (+ x y) (fma (- (pow y 3)) y (pow x 4))) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- x y) (fma x x (* y y))) (expm1 (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (log1p (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (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)) (fma x x (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (fma 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)) (fma x x (* y y))) 3) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (sqrt (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (fma x x (* y y)) (fma x x (fma y y (* x y)))) (* (- (* x x) (* y y)) (+ x y)) (* (fma x x (* y y)) (+ x y)) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (/ (* (sqrt (- x y)) (sqrt (+ x y))) (hypot x y)) (/ (* (sqrt (- x y)) (sqrt (+ x y))) (hypot x y)) (* (- x y) (* (cbrt (/ (+ x y) (+ (* x x) (* y y)))) (cbrt (/ (+ x y) (+ (* x x) (* y y)))))) (* (- x y) (sqrt (/ (+ x y) (+ (* x x) (* y y))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (hypot x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (- x y)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (* (- x y) (sqrt (+ x y))) (hypot x y)) (* (sqrt (+ x y)) (- x y)) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (hypot x y)) (- x y) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (hypot x y)) (- x y) (- x y) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (/ (* (- x y) (+ x y)) (* (fma x x (* y y)) (- (* x x) (* y y)))) (/ (* (cbrt (- x y)) (+ x y)) (fma x x (* y y))) (/ (* (sqrt (- x y)) (+ x y)) (fma x x (* y y))) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (/ (* (- (sqrt x) (sqrt y)) (+ x y)) (fma x x (* y y))) (/ (* (- x y) (+ x y)) (fma x x (* y y))) (* (- x y) (+ x y)) (/ (* (- (pow x 3) (pow y 3)) (+ x y)) (fma x x (* y y))) (/ (* (- (* x x) (* y y)) (+ x y)) (fma x x (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (* (fma x x (* y y)) 1)) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma (* (pow y 4) y) y (pow x 6)) (fma (fma y y (* x y)) (* y (- y x)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (* (- x y) (+ x y)) 0 0 0 -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.608 * * * [progress]: adding candidates to table 0.781 * * [progress]: iteration 4 / 4 0.781 * * * [progress]: picking best candidate 0.786 * * * * [pick]: Picked # 0.786 * * * [progress]: localizing error 0.796 * * * [progress]: generating rewritten candidates 0.796 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.812 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.818 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.832 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.844 * * * [progress]: generating series expansions 0.844 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.845 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in (x y) around 0 0.845 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in y 0.845 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.845 * [taylor]: Taking taylor expansion of (+ x y) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (- x y) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.845 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.845 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.845 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.845 * [taylor]: Taking taylor expansion of (* x x) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of (* y y) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.851 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.851 * [taylor]: Taking taylor expansion of (+ x y) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (- x y) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.851 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.851 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.851 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.851 * [taylor]: Taking taylor expansion of (* x x) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (* y y) in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.851 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (pow (hypot x y) 2)) in x 0.853 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.853 * [taylor]: Taking taylor expansion of (+ x y) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of (- x y) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.853 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.853 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.853 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.853 * [taylor]: Taking taylor expansion of (* x x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (* y y) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of -1 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.859 * [taylor]: Taking taylor expansion of 2 in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.865 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 0.865 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 0.865 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.865 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.865 * [taylor]: Taking taylor expansion of x in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.866 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.866 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.866 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.866 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.866 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.866 * [taylor]: Taking taylor expansion of x in y 0.866 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.871 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.871 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.872 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.872 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.872 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.872 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 0.877 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.877 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.877 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.878 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.878 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.878 * [taylor]: Taking taylor expansion of y in x 0.882 * [taylor]: Taking taylor expansion of 1 in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.890 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.890 * [taylor]: Taking taylor expansion of 2 in y 0.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.890 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 0.900 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 0.900 * [taylor]: Taking taylor expansion of -1 in y 0.900 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 0.900 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.901 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.901 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.901 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.901 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.901 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.901 * [taylor]: Taking taylor expansion of -1 in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.901 * [taylor]: Taking taylor expansion of -1 in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.901 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.901 * [taylor]: Taking taylor expansion of -1 in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.902 * [taylor]: Taking taylor expansion of -1 in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.906 * [taylor]: Taking taylor expansion of -1 in x 0.906 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.906 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.907 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.907 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.907 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.907 * [taylor]: Taking taylor expansion of -1 in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.908 * [taylor]: Taking taylor expansion of -1 in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.908 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.908 * [taylor]: Taking taylor expansion of -1 in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.908 * [taylor]: Taking taylor expansion of -1 in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 0.912 * [taylor]: Taking taylor expansion of -1 in x 0.912 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 0.912 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.913 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.913 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.913 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.913 * [taylor]: Taking taylor expansion of -1 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.914 * [taylor]: Taking taylor expansion of -1 in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.914 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.914 * [taylor]: Taking taylor expansion of -1 in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.914 * [taylor]: Taking taylor expansion of -1 in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of 1 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.928 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of 2 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.941 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.942 * [approximate]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in (x y) around 0 0.942 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in y 0.942 * [taylor]: Taking taylor expansion of (+ x y) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.942 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.942 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.942 * [taylor]: Taking taylor expansion of (* x x) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of (* y y) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 0.943 * [taylor]: Taking taylor expansion of (+ x y) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.943 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.943 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.943 * [taylor]: Taking taylor expansion of (* x x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (* y y) in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (/ (+ x y) (hypot x y)) in x 0.945 * [taylor]: Taking taylor expansion of (+ x y) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.945 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.945 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.945 * [taylor]: Taking taylor expansion of (* x x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (* y y) in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.945 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of 1 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.949 * [taylor]: Taking taylor expansion of 1/2 in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.955 * [taylor]: Taking taylor expansion of 1/2 in y 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.955 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.961 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.961 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in y 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.961 * [taylor]: Taking taylor expansion of x in y 0.961 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.961 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.961 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.961 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.961 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.966 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.966 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.966 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.969 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ 1 x) (/ 1 y))) in x 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.970 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.970 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.974 * [taylor]: Taking taylor expansion of 1 in y 0.975 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.980 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.980 * [taylor]: Taking taylor expansion of 1/2 in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.988 * [taylor]: Taking taylor expansion of 1/2 in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.988 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.994 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in (x y) around 0 0.994 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in y 0.994 * [taylor]: Taking taylor expansion of -1 in y 0.994 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in y 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.994 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.994 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.994 * [taylor]: Taking taylor expansion of -1 in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.994 * [taylor]: Taking taylor expansion of -1 in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.994 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.994 * [taylor]: Taking taylor expansion of -1 in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.995 * [taylor]: Taking taylor expansion of -1 in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 0.998 * [taylor]: Taking taylor expansion of -1 in x 0.998 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.999 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.999 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.999 * [taylor]: Taking taylor expansion of -1 in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.000 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.000 * [taylor]: Taking taylor expansion of -1 in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.000 * [taylor]: Taking taylor expansion of -1 in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.003 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y)))) in x 1.003 * [taylor]: Taking taylor expansion of -1 in x 1.003 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (hypot (/ -1 x) (/ -1 y))) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.004 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.004 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.004 * [taylor]: Taking taylor expansion of -1 in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.004 * [taylor]: Taking taylor expansion of -1 in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.004 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.004 * [taylor]: Taking taylor expansion of -1 in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.004 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.004 * [taylor]: Taking taylor expansion of -1 in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of -1 in y 1.009 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.010 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.015 * [taylor]: Taking taylor expansion of 1/2 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.026 * [taylor]: Taking taylor expansion of 1/2 in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.026 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.032 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.032 * [approximate]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in (x y) around 0 1.032 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in y 1.032 * [taylor]: Taking taylor expansion of (+ x y) in y 1.032 * [taylor]: Taking taylor expansion of x in y 1.032 * [taylor]: Taking taylor expansion of y in y 1.032 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.032 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.032 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.032 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.033 * [taylor]: Taking taylor expansion of (* x x) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.033 * [taylor]: Taking taylor expansion of (* y y) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.034 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in x 1.034 * [taylor]: Taking taylor expansion of (+ x y) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.034 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.034 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.034 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.034 * [taylor]: Taking taylor expansion of (* x x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (* y y) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.035 * [taylor]: Taking taylor expansion of (/ (+ x y) (pow (hypot x y) 2)) in x 1.035 * [taylor]: Taking taylor expansion of (+ x y) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.036 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.036 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.036 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.036 * [taylor]: Taking taylor expansion of (* x x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (* y y) in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.036 * [taylor]: Taking taylor expansion of y in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.037 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.043 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.043 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.050 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in (x y) around 0 1.050 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in y 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.051 * [taylor]: Taking taylor expansion of y in y 1.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.055 * [taylor]: Taking taylor expansion of y in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.055 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.055 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ 1 x) (/ 1 y)) 2)) in x 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.060 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.060 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.064 * [taylor]: Taking taylor expansion of 1 in y 1.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.076 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y) around 0 1.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.076 * [taylor]: Taking taylor expansion of -1 in y 1.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.076 * [taylor]: Taking taylor expansion of x in y 1.076 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.076 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.076 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.076 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.076 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.076 * [taylor]: Taking taylor expansion of -1 in y 1.076 * [taylor]: Taking taylor expansion of x in y 1.076 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.077 * [taylor]: Taking taylor expansion of -1 in y 1.077 * [taylor]: Taking taylor expansion of x in y 1.077 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.077 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.077 * [taylor]: Taking taylor expansion of -1 in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.077 * [taylor]: Taking taylor expansion of -1 in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.081 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.081 * [taylor]: Taking taylor expansion of -1 in x 1.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.081 * [taylor]: Taking taylor expansion of y in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.081 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.081 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.081 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.081 * [taylor]: Taking taylor expansion of -1 in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.082 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.082 * [taylor]: Taking taylor expansion of -1 in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.086 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.086 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.086 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.087 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.087 * [taylor]: Taking taylor expansion of -1 in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.091 * [taylor]: Taking taylor expansion of -1 in y 1.092 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.103 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.103 * [approximate]: Taking taylor expansion of (/ 1 (hypot x y)) in (x y) around 0 1.103 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in y 1.103 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.103 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.103 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.103 * [taylor]: Taking taylor expansion of (* x x) in y 1.103 * [taylor]: Taking taylor expansion of x in y 1.103 * [taylor]: Taking taylor expansion of x in y 1.103 * [taylor]: Taking taylor expansion of (* y y) in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.103 * [taylor]: Taking taylor expansion of y in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in x 1.104 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.104 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.104 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.104 * [taylor]: Taking taylor expansion of (* x x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (* y y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (hypot x y)) in x 1.106 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.106 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.106 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.106 * [taylor]: Taking taylor expansion of (* x x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* y y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.110 * [taylor]: Taking taylor expansion of 1/2 in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.110 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.119 * [approximate]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 1.119 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in y 1.119 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.119 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.119 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.119 * [taylor]: Taking taylor expansion of x in y 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.119 * [taylor]: Taking taylor expansion of x in y 1.119 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.119 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in x 1.123 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.123 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.123 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 x) (/ 1 y))) in x 1.126 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.126 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.126 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.130 * [taylor]: Taking taylor expansion of 1 in y 1.130 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.133 * [taylor]: Taking taylor expansion of 1/2 in y 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.133 * [taylor]: Taking taylor expansion of y in y 1.138 * [approximate]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 1.138 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in y 1.138 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.138 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.138 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.138 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.138 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.138 * [taylor]: Taking taylor expansion of -1 in y 1.138 * [taylor]: Taking taylor expansion of x in y 1.138 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.138 * [taylor]: Taking taylor expansion of -1 in y 1.138 * [taylor]: Taking taylor expansion of x in y 1.138 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.138 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.138 * [taylor]: Taking taylor expansion of -1 in y 1.138 * [taylor]: Taking taylor expansion of y in y 1.138 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.138 * [taylor]: Taking taylor expansion of -1 in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in x 1.142 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.142 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.142 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.143 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.143 * [taylor]: Taking taylor expansion of -1 in x 1.143 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 x) (/ -1 y))) in x 1.145 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.146 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.146 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.146 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.149 * [taylor]: Taking taylor expansion of 1 in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 1.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.153 * [taylor]: Taking taylor expansion of 1/2 in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.158 * * * [progress]: simplifying candidates 1.160 * [simplify]: Simplifying using # : (expm1 (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (log1p (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) 0)) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) 0)) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) (log 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (+ (log (hypot x y)) (log 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) 0)) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) 0)) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) (log 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- 0 (+ (log (hypot x y)) (log 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- 0 (log (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- 0 (log (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) 0)) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) 0)) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) (log 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (+ (log (hypot x y)) (log 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (log (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (- (log 1) (log (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (+ (log (/ 1 (* (hypot x y) 1))) (- (log (+ x y)) (log (hypot x y))))) (+ (log (- x y)) (+ (log (/ 1 (* (hypot x y) 1))) (log (/ (+ x y) (hypot x y))))) (+ (log (- x y)) (log (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (log (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (exp (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (/ (* (* 1 1) 1) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* 1 1) 1))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (/ (* (* 1 1) 1) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* 1 1) 1))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (/ (* (* 1 1) 1) (* (* (* (hypot x y) 1) (* (hypot x y) 1)) (* (hypot x y) 1))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (/ (* (* 1 1) 1) (* (* (* (hypot x y) 1) (* (hypot x y) 1)) (* (hypot x y) 1))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (* (/ 1 (* (hypot x y) 1)) (/ 1 (* (hypot x y) 1))) (/ 1 (* (hypot x y) 1))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (* (/ 1 (* (hypot x y) 1)) (/ 1 (* (hypot x y) 1))) (/ 1 (* (hypot x y) 1))) (* (* (/ (+ x y) (hypot x y)) (/ (+ x y) (hypot x y))) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (cbrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (cbrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))))) (cbrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (* (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y)))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (sqrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (sqrt (* (- x y) (* (/ 1 (* (hypot x y) 1)) (/ (+ x y) (hypot x y))))) (* (- (pow x 3) (pow y 3)) (* 1 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x y) 3)) (/ 1 (pow (hypot x y) 3)) (* (cbrt (/ 1 (* (hypot x y) 1))) (cbrt (/ 1 (* (hypot x y) 1)))) (cbrt (/ 1 (* (hypot x y) 1))) (/ 1 (pow (hypot x y) 3)) (sqrt (/ 1 (* (hypot x y) 1))) (sqrt (/ 1 (* (hypot x y) 1))) (- 1) (- (hypot x y)) (/ 1 (hypot x y)) 1 (/ 1 (hypot x y)) 1 (/ 1 (hypot x y)) 1 (/ 1 (hypot x y)) (hypot x y) (/ 1 (hypot x y)) (hypot x y) (hypot x y) (hypot x y) -1 1 1 1 1 -1 0 0 0 0 0 0 1.243 * * * [progress]: adding candidates to table 1.479 * [progress]: [Phase 3 of 3] Extracting. 1.479 * * [regime]: Finding splitpoints for: (# # # #) 1.481 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.481 * * * * [regimes]: Trying to branch on y from (# # # #) 1.497 * * * * [regimes]: Trying to branch on x from (# # # #) 1.516 * * * [regime]: Found split indices: #