8.213 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.038 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.040 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.041 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.044 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.047 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.053 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.064 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.102 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.103 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.103 * * [progress]: iteration 1 / 4 0.103 * * * [progress]: picking best candidate 0.105 * * * * [pick]: Picked # 0.105 * * * [progress]: localizing error 0.114 * * * [progress]: generating rewritten candidates 0.114 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.127 * * * [progress]: generating series expansions 0.127 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.127 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.127 * [taylor]: Taking taylor expansion of (+ x y) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (- x y) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.128 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.128 * [taylor]: Taking taylor expansion of (+ x y) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (- x y) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.128 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.128 * [taylor]: Taking taylor expansion of (+ x y) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (- x y) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of -1 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of 2 in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [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 0.130 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.130 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.131 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.131 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.133 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of 2 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [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 0.134 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.134 * [taylor]: Taking taylor expansion of -1 in y 0.134 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.134 * [taylor]: Taking taylor expansion of -1 in x 0.134 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of 2 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * * * [progress]: simplifying candidates 0.138 * [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)) -1 1 1 0.142 * * [simplify]: iteration 0 : 270 enodes (cost 311 ) 0.148 * * [simplify]: iteration 1 : 1434 enodes (cost 265 ) 0.174 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.176 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (- y x) (+ 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) (/ (+ 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)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ x y)) (+ (* x x) (* y y))) (- (/ (pow x 4) 1) (/ (pow y 4) 1)) (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.176 * * * [progress]: adding candidates to table 0.218 * * [progress]: iteration 2 / 4 0.218 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.233 * * * [progress]: generating rewritten candidates 0.233 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.241 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.264 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y 0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ x y) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (neg 1) in y 0.265 * [taylor]: Taking taylor expansion of 1 in y 0.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of 2 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of 2 in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.268 * [taylor]: Taking taylor expansion of 2 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 3)))) in y 0.269 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.269 * [taylor]: Taking taylor expansion of 2 in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.269 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.270 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.270 * [taylor]: Taking taylor expansion of -1 in y 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of -1 in x 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of -1 in x 0.270 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of -1 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of 2 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.272 * [taylor]: Taking taylor expansion of 2 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.273 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.273 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.273 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.273 * [taylor]: Taking taylor expansion of (+ x y) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (- x y) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.274 * [taylor]: Taking taylor expansion of (+ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (- x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.274 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.274 * [taylor]: Taking taylor expansion of (+ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (- x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of -1 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.275 * [taylor]: Taking taylor expansion of 2 in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [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 0.276 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.276 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.276 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.277 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of 2 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [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 0.280 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.280 * [taylor]: Taking taylor expansion of -1 in y 0.280 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.280 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.280 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.280 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.281 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.281 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.282 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.282 * [taylor]: Taking taylor expansion of 2 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (- (log (+ (* x x) (* y y))) (log (+ x y))) (log (/ (+ (* x x) (* y y)) (+ x y))) (exp (/ (+ (* x x) (* y y)) (+ x y))) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* x x) (* y y)) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (* (* (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y))) (/ (+ (* x x) (* y y)) (+ x y))) (sqrt (/ (+ (* x x) (* y y)) (+ x y))) (sqrt (/ (+ (* x x) (* y y)) (+ x y))) (neg (+ (* x x) (* y y))) (neg (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (+ (* x x) (* y y))) (cbrt (+ x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))) (/ 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x y)) (- (sqrt x) (sqrt y))) (/ (/ (+ (* x x) (* y y)) (+ x y)) (- x y)) (/ (- x y) (+ (* x x) (* y y))) (* (+ (* y (+ y x)) (* x x)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ (* x x) (* y y)) (+ x y)) (+ x y)) (- y x) (- x y) (- x y) -1 1 1 0.370 * * * [progress]: adding candidates to table 0.475 * * [progress]: iteration 3 / 4 0.475 * * * [progress]: picking best candidate 0.479 * * * * [pick]: Picked # 0.479 * * * [progress]: localizing error 0.479 * * * [progress]: generating rewritten candidates 0.479 * * * [progress]: generating series expansions 0.479 * * * [progress]: simplifying candidates 0.480 * [simplify]: Simplifying using # : 0.482 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.482 * [simplify]: Simplified to: 0.482 * * * [progress]: adding candidates to table 0.482 * * [progress]: iteration 4 / 4 0.482 * * * [progress]: picking best candidate 0.484 * * * * [pick]: Picked # 0.484 * * * [progress]: localizing error 0.484 * * * [progress]: generating rewritten candidates 0.484 * * * [progress]: generating series expansions 0.484 * * * [progress]: simplifying candidates 0.484 * [simplify]: Simplifying using # : 0.486 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.486 * [simplify]: Simplified to: 0.486 * * * [progress]: adding candidates to table 0.487 * [progress]: [Phase 3 of 3] Extracting. 0.487 * * [regime]: Finding splitpoints for: (# # # #) 0.487 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.487 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 0.522 * * * * [regimes]: Trying to branch on y from (# # # #) 0.572 * * * * [regimes]: Trying to branch on x from (# # # #) 0.617 * * * [regime]: Found split indices: #