16.173 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.183 * * [simplify]: iteration 0 : 4897 enodes (cost 15 ) 0.184 * * [simplify]: iteration 1 : 4897 enodes (cost 15 ) 0.184 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.194 * * * * [pick]: Picked # 0.194 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.215 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.220 * * * [progress]: generating series expansions 0.220 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.220 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.220 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.220 * [taylor]: Taking taylor expansion of (+ x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (- x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.221 * [taylor]: Taking taylor expansion of (+ x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (- x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.221 * [taylor]: Taking taylor expansion of (+ x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (- x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of -1 in y 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.222 * [taylor]: Taking taylor expansion of 2 in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [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 0.223 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.223 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.224 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of 2 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [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 0.227 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.227 * [taylor]: Taking taylor expansion of -1 in y 0.227 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.227 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.227 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.227 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.228 * [taylor]: Taking taylor expansion of -1 in x 0.228 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.229 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.229 * [taylor]: Taking taylor expansion of 2 in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.230 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of 1 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of 1 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * * * [progress]: simplifying candidates 0.236 * [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)) 0.255 * * [simplify]: iteration 0 : 5103 enodes (cost 655 ) 0.257 * [simplify]: Simplified to: (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (exp (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (pow (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) 3) (pow (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))) (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (pow (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) 3) (sqrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (sqrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (- (* y y) (* x x)) (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) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- (* x x) (* y 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 x) (* y y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (- (* x x) (* y y)) (+ (pow x 6) (pow y 6))) (/ 1 (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y (- y x))))) (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (* y (+ x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (* y (- y x))))) (- (pow x 4) (pow y 4)) (* (+ (* x x) (* y y)) (+ (* x x) (* y (- y x)))) (* (- x y) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y (+ x y)))) (* (+ x y) (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) -1 1 1 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 0.258 * * * [progress]: adding candidates to table 0.317 * * [progress]: iteration 2 / 4 0.318 * * * [progress]: picking best candidate 0.327 * * * * [pick]: Picked # 0.327 * * * [progress]: localizing error 0.339 * * * [progress]: generating rewritten candidates 0.339 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.343 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.347 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.359 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.400 * * * [progress]: generating series expansions 0.400 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.401 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.402 * [taylor]: Taking taylor expansion of 1/2 in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of 1 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of 1/2 in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of 1 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of 1/2 in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.407 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.407 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.408 * [taylor]: Taking taylor expansion of 1/2 in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.409 * [taylor]: Taking taylor expansion of 1/2 in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of 1/2 in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.412 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in y 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) 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 0.413 * [taylor]: Taking taylor expansion of (+ x y) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (+ x y) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (+ x y) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 0.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of 1/2 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 0.416 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.416 * [taylor]: Taking taylor expansion of 1/2 in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.416 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.416 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of 1 in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 0.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.418 * [taylor]: Taking taylor expansion of 1/2 in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.419 * [taylor]: Taking taylor expansion of 1/2 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 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.420 * [taylor]: Taking taylor expansion of -1 in y 0.420 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of -1 in y 0.422 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.423 * [taylor]: Taking taylor expansion of 1/2 in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.424 * [taylor]: Taking taylor expansion of 1/2 in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.424 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.424 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.424 * [taylor]: Taking taylor expansion of (+ x y) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (- x y) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.425 * [taylor]: Taking taylor expansion of (+ x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (- x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.425 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.425 * [taylor]: Taking taylor expansion of (+ x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (- x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of 2 in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.427 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.428 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y 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 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.431 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 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 y) in x 0.431 * [taylor]: Taking taylor expansion of y 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 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.433 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.433 * [taylor]: Taking taylor expansion of 2 in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [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 0.434 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.434 * [taylor]: Taking taylor expansion of -1 in y 0.434 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.434 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.437 * [taylor]: Taking taylor expansion of 2 in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * * * [progress]: simplifying candidates 0.441 * [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 (+ (* x x) (* y y))))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (cbrt (+ x y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 1)) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (sqrt (+ 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(sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt (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))))) (* (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (fabs (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (+ x y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (+ x y)) (fabs (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ x y)) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (+ x y)) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (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) (sqrt (+ (pow x 6) (pow y 6)))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (+ x y) (sqrt (- (pow x 4) (pow y 4)))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (cbrt (/ (- x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- x y)) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- x y)) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- (sqrt x) (sqrt y)) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- (sqrt x) (sqrt y)) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y)))))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y))) (* (sqrt (+ (pow x 4) (- (pow y 4) (* (* 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) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (+ x y) (/ (- x y) (sqrt (+ (* x x) (* y y))))) y x (neg x) y x (neg x) 1 1 -1 -1 1 1 0.478 * * * [progress]: adding candidates to table 0.666 * * [progress]: iteration 3 / 4 0.666 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.694 * * * [progress]: generating rewritten candidates 0.694 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.698 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.704 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.732 * * * [progress]: generating series expansions 0.732 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.732 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.732 * [taylor]: Taking taylor expansion of x in y 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.733 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.733 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.734 * [taylor]: Taking taylor expansion of 1/2 in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of 1 in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of 1/2 in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of 1 in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.737 * [taylor]: Taking taylor expansion of 1/2 in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.738 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.738 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.739 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.739 * [taylor]: Taking taylor expansion of 1/2 in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [taylor]: Taking taylor expansion of 1 in y 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.741 * [taylor]: Taking taylor expansion of 1/2 in y 0.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.742 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of 1 in y 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.743 * [taylor]: Taking taylor expansion of 1/2 in y 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.743 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.744 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in (x y) around 0 0.744 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in y 0.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.744 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (+ x y) in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.744 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (+ x y) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.745 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (+ x y) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of 1 in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 0.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.746 * [taylor]: Taking taylor expansion of 1/2 in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.747 * [taylor]: Taking taylor expansion of 1/2 in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.747 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.748 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.748 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of 1 in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 0.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.750 * [taylor]: Taking taylor expansion of 1/2 in y 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.751 * [taylor]: Taking taylor expansion of 1/2 in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.751 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [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 0.751 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.752 * [taylor]: Taking taylor expansion of -1 in y 0.752 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.752 * [taylor]: Taking taylor expansion of x in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.753 * [taylor]: Taking taylor expansion of -1 in x 0.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of -1 in y 0.753 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.754 * [taylor]: Taking taylor expansion of 1/2 in y 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.755 * [taylor]: Taking taylor expansion of 1/2 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.755 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.756 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.756 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in y 0.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.756 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.756 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (- x y) in y 0.756 * [taylor]: Taking taylor expansion of x in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in x 0.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.756 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (- x y) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in x 0.757 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (- x y) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of -1 in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.758 * [taylor]: Taking taylor expansion of 1/2 in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.759 * [taylor]: Taking taylor expansion of 1/2 in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.760 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.760 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.760 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.760 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.760 * [taylor]: Taking taylor expansion of y in x 0.760 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.760 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.761 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of 1 in y 0.761 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 2)))) in y 0.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.762 * [taylor]: Taking taylor expansion of 1/2 in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.763 * [taylor]: Taking taylor expansion of 1/2 in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.763 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.763 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in y 0.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.764 * [taylor]: Taking taylor expansion of x in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.764 * [taylor]: Taking taylor expansion of x in y 0.764 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of -1 in y 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.765 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.766 * [taylor]: Taking taylor expansion of 1/2 in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 (pow y 3)))) in y 0.767 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.767 * [taylor]: Taking taylor expansion of 1/2 in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.767 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.767 * * * [progress]: simplifying candidates 0.769 * [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)))) (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (+ (log (+ x y)) (neg (log (sqrt (+ (* x x) (* y y)))))) (+ (log (+ x y)) (- 0 (log (sqrt (+ (* x x) (* y y)))))) (+ (log (+ x y)) (- (log 1) (log (sqrt (+ (* x x) (* y y)))))) (+ (log (+ x y)) (log (/ 1 (sqrt (+ (* x x) (* y y)))))) (log (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (exp (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1 (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (cbrt (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (cbrt (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y))))))) (cbrt (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (* (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (sqrt (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (sqrt (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (+ (pow x 3) (pow y 3)) 1) (* (+ (* x x) (- (* y y) (* x y))) (sqrt (+ (* x x) (* y y)))) (* (- (* x x) (* y y)) 1) (* (- x y) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ x y)) (sqrt (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (sqrt (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (+ x y)) (/ 1 (sqrt (sqrt (+ (* x x) (* y y)))))) (* (+ x y) (* (cbrt (/ 1 (sqrt (+ (* x x) (* y y))))) (cbrt (/ 1 (sqrt (+ (* x x) (* y y))))))) (* (+ x y) (sqrt (/ 1 (sqrt (+ (* x x) (* y y)))))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (+ (* x x) (* y y)))))) 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y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (+ x y) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (+ x y) 1) (* (+ (pow x 3) (pow y 3)) (/ 1 (sqrt (+ (* x x) (* y y))))) (* (- (* x x) (* y y)) (/ 1 (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)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt 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(sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt 1)) (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt 1)) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 1) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ (sqrt x) (sqrt y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- (sqrt x) (sqrt y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ (sqrt x) (sqrt y)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- (sqrt x) (sqrt y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ (sqrt x) (sqrt y)) (sqrt 1)) (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (+ (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt 1)) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 1) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (- x y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt 1)) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) 1) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (- x y) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (/ (- x y) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (sqrt (+ (* x x) (* y y))) (+ (* x x) (+ (* y y) (* x y)))) (* (sqrt (+ (* x x) (* y y))) (+ x y)) y x (* -1 x) y x (* -1 x) 1 1 -1 -1 1 -1 0.822 * * [simplify]: iteration 0 : 5818 enodes (cost 2264 ) 0.830 * 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(cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ 1 (fabs (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (- x y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (fabs (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (- x y) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (- x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (- x y) (sqrt (+ (pow x 6) (pow y 6)))) (/ (- x y) (sqrt (- (pow x 4) (pow y 4)))) (* (sqrt (+ (* x x) (* y y))) (+ (* x x) (* y (+ x y)))) (* (sqrt (+ (* x x) (* y y))) (+ x y)) y x (neg x) y x (neg x) 1 1 -1 -1 1 -1 0.831 * * * [progress]: adding candidates to table 1.008 * * [progress]: iteration 4 / 4 1.008 * * * [progress]: picking best candidate 1.021 * * * * [pick]: Picked # 1.021 * * * [progress]: localizing error 1.022 * * * [progress]: generating rewritten candidates 1.022 * * * [progress]: generating series expansions 1.022 * * * [progress]: simplifying candidates 1.022 * [simplify]: Simplifying using # : 1.024 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.025 * [simplify]: Simplified to: 1.025 * * * [progress]: adding candidates to table 1.025 * [progress]: [Phase 3 of 3] Extracting. 1.025 * * [regime]: Finding splitpoints for: (# # # # # #) 1.027 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.027 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.090 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.146 * * * [regime]: Found split indices: #