22.192 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.064 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.066 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.067 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.069 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.072 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.077 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.087 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.128 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.129 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.129 * * [progress]: iteration 1 / 4 0.129 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.170 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.176 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.176 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.176 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.176 * [taylor]: Taking taylor expansion of (+ x y) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (- x y) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.176 * [taylor]: Taking taylor expansion of (+ x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (- x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.177 * [taylor]: Taking taylor expansion of (+ x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (- x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of -1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.178 * [taylor]: Taking taylor expansion of 2 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [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 0.179 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.179 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.179 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.180 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.181 * [taylor]: Taking taylor expansion of 2 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [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 0.183 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.183 * [taylor]: Taking taylor expansion of -1 in y 0.183 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.183 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x 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 0.183 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.183 * [taylor]: Taking taylor expansion of -1 in x 0.183 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.183 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.184 * [taylor]: Taking taylor expansion of -1 in x 0.184 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.185 * [taylor]: Taking taylor expansion of 2 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.186 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * * * [progress]: simplifying candidates 0.192 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (neg (* (- x y) (+ x y))) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.196 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.203 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.231 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.233 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (pow y 2) (pow x 2)) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))) (+ (* (neg (pow y 3)) y) (pow x 4)) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (pow x 2) (pow y 2))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.234 * * * [progress]: adding candidates to table 0.288 * * [progress]: iteration 2 / 4 0.288 * * * [progress]: picking best candidate 0.294 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.305 * * * [progress]: generating rewritten candidates 0.305 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.314 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.361 * * * [progress]: generating series expansions 0.361 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.361 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.362 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.362 * [taylor]: Taking taylor expansion of 1/2 in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of 1 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.364 * [taylor]: Taking taylor expansion of 1/2 in y 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of 1 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of 1/2 in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.367 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.367 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.368 * [taylor]: Taking taylor expansion of 1/2 in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of 1/2 in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.370 * [taylor]: Taking taylor expansion of x in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of 1 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of 1/2 in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.373 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in y 0.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (+ x y) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 1 in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 0.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.375 * [taylor]: Taking taylor expansion of 1/2 in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.376 * [taylor]: Taking taylor expansion of 1/2 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of 1/2 in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.380 * [taylor]: Taking taylor expansion of 1/2 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.380 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.380 * [taylor]: Taking taylor expansion of -1 in y 0.380 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.381 * [taylor]: Taking taylor expansion of -1 in x 0.381 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.382 * [taylor]: Taking taylor expansion of -1 in x 0.382 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of -1 in y 0.382 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.383 * [taylor]: Taking taylor expansion of 1/2 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.387 * [taylor]: Taking taylor expansion of 1/2 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.388 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.388 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.388 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.388 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.388 * [taylor]: Taking taylor expansion of (+ x y) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (- x y) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.388 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.389 * [taylor]: Taking taylor expansion of (+ x y) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (- x y) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.389 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.389 * [taylor]: Taking taylor expansion of (+ x y) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (- x y) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of -1 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.390 * [taylor]: Taking taylor expansion of 2 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.391 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.391 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.392 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of 1 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of 2 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.395 * [taylor]: Taking taylor expansion of -1 in y 0.395 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of 1 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of 2 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.398 * * * [progress]: simplifying candidates 0.401 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y))))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (exp (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (neg (+ x y)) (neg (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (cbrt (+ x y)) (cbrt (sqrt 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(+ x y) (+ (* x x) (* y y))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- (* x x) (* y y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) y x (* -1 x) y x (* -1 x) 1 1 -1 -1 1 1 0.467 * * * [progress]: adding candidates to table 0.584 * * [progress]: iteration 3 / 4 0.584 * * * [progress]: picking best candidate 0.588 * * * * [pick]: Picked # 0.588 * * * [progress]: localizing error 0.588 * * * [progress]: generating rewritten candidates 0.588 * * * [progress]: generating series expansions 0.588 * * * [progress]: simplifying candidates 0.588 * [simplify]: Simplifying using # : 0.590 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.590 * [simplify]: Simplified to: 0.590 * * * [progress]: adding candidates to table 0.591 * * [progress]: iteration 4 / 4 0.591 * * * [progress]: picking best candidate 0.593 * * * * [pick]: Picked # 0.593 * * * [progress]: localizing error 0.593 * * * [progress]: generating rewritten candidates 0.593 * * * [progress]: generating series expansions 0.593 * * * [progress]: simplifying candidates 0.593 * [simplify]: Simplifying using # : 0.595 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.595 * [simplify]: Simplified to: 0.595 * * * [progress]: adding candidates to table 0.595 * [progress]: [Phase 3 of 3] Extracting. 0.595 * * [regime]: Finding splitpoints for: (# # # #) 0.596 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.596 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 0.633 * * * * [regimes]: Trying to branch on y from (# # # #) 0.684 * * * * [regimes]: Trying to branch on x from (# # # #) 0.731 * * * [regime]: Found split indices: #