0.728 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.484 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.485 * * [simplify]: iteration 1 : 16 enodes (cost 3 ) 0.487 * * [simplify]: iteration 2 : 26 enodes (cost 3 ) 0.488 * * [simplify]: iteration 3 : 33 enodes (cost 3 ) 0.490 * * [simplify]: iteration 4 : 33 enodes (cost 3 ) 0.490 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.492 * * [progress]: iteration 1 / 4 0.492 * * * [progress]: picking best candidate 0.494 * * * * [pick]: Picked # 0.494 * * * [progress]: localizing error 0.501 * * * [progress]: generating rewritten candidates 0.501 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.508 * * * [progress]: generating series expansions 0.508 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.512 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (neg y) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 1 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of 1 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of 1 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.521 * * * [progress]: simplifying candidates 0.521 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (* (* (- (* x x) y) (- (* x x) y)) (- (* x x) y)) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (neg y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (neg y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.524 * * [simplify]: iteration 0 : 73 enodes (cost 63 ) 0.526 * * [simplify]: iteration 1 : 216 enodes (cost 56 ) 0.531 * * [simplify]: iteration 2 : 535 enodes (cost 56 ) 0.541 * * [simplify]: iteration 3 : 1794 enodes (cost 56 ) 0.584 * * [simplify]: iteration 4 : 5001 enodes (cost 56 ) 0.585 * [simplify]: Simplified to: (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (- (pow x 2) y) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow (* x x) 3) (pow y 3)) (+ (+ (pow x 4) (* (* x x) y)) (* y y)) (- 0 y) (+ (neg (* y y)) (pow x 4)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- 0 y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.585 * * * [progress]: adding candidates to table 0.613 * * [progress]: iteration 2 / 4 0.613 * * * [progress]: picking best candidate 0.616 * * * * [pick]: Picked # 0.616 * * * [progress]: localizing error 0.622 * * * [progress]: generating rewritten candidates 0.622 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.632 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.636 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.641 * * * [progress]: generating series expansions 0.641 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.641 * [approximate]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in (x y) around 0 0.641 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in y 0.641 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 0.641 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (* (- x (sqrt y)) (+ x (sqrt y))) in x 0.641 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.642 * [taylor]: Taking taylor expansion of -1 in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [taylor]: Taking taylor expansion of 1 in y 0.643 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in y 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt (/ 1 y))) (+ (sqrt (/ 1 y)) (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of 1 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.646 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [taylor]: Taking taylor expansion of 0 in y 0.647 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in (x y) around 0 0.647 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in y 0.647 * [taylor]: Taking taylor expansion of -1 in y 0.647 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in y 0.647 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in y 0.647 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.647 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.647 * [taylor]: Taking taylor expansion of -1 in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.647 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.647 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.647 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.647 * [taylor]: Taking taylor expansion of -1 in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.647 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 0.647 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x)))) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 y)) (/ 1 x)) (- (sqrt (/ -1 y)) (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.648 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1 in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [taylor]: Taking taylor expansion of (neg (pow (sqrt (/ -1 y)) 2)) in y 0.649 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 0.649 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.649 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.649 * [taylor]: Taking taylor expansion of -1 in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.653 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.653 * [approximate]: Taking taylor expansion of (- x (sqrt y)) in (x y) around 0 0.653 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in y 0.653 * [taylor]: Taking taylor expansion of x in y 0.653 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (- x (sqrt y)) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (neg (sqrt y)) in y 0.653 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of 1 in y 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.654 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in (x y) around 0 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ 1 y))) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of 1 in y 0.655 * [taylor]: Taking taylor expansion of (neg (sqrt (/ 1 y))) in y 0.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [approximate]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in y 0.656 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in y 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.656 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.656 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.656 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.656 * [taylor]: Taking taylor expansion of -1 in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (neg (+ (sqrt (/ -1 y)) (/ 1 x))) in x 0.656 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.656 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.656 * [taylor]: Taking taylor expansion of -1 in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (neg 1) in y 0.656 * [taylor]: Taking taylor expansion of 1 in y 0.656 * [taylor]: Taking taylor expansion of (neg (sqrt (/ -1 y))) in y 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.656 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.656 * [taylor]: Taking taylor expansion of -1 in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.657 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.657 * [approximate]: Taking taylor expansion of (+ x (sqrt y)) in (x y) around 0 0.657 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of (+ x (sqrt y)) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of 1 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in (x y) around 0 0.658 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in y 0.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.659 * [taylor]: Taking taylor expansion of x in y 0.659 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of 1 in y 0.659 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.659 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in (x y) around 0 0.660 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in y 0.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.660 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.660 * [taylor]: Taking taylor expansion of -1 in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.660 * [taylor]: Taking taylor expansion of x in y 0.660 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 y)) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (neg 1) in y 0.661 * [taylor]: Taking taylor expansion of 1 in y 0.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.661 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.661 * [taylor]: Taking taylor expansion of -1 in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [taylor]: Taking taylor expansion of 0 in y 0.661 * * * [progress]: simplifying candidates 0.662 * [simplify]: Simplifying using # : (* (+ x (sqrt y)) (- x (sqrt y))) (+ (log (+ x (sqrt y))) (log (- x (sqrt y)))) (log (* (+ x (sqrt y)) (- x (sqrt y)))) (exp (* (+ x (sqrt y)) (- x (sqrt y)))) (* (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y))) (* (* (- x (sqrt y)) (- x (sqrt y))) (- x (sqrt y)))) (* (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y))))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (* (* (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y)))) (* (+ x (sqrt y)) (- x (sqrt y)))) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (* x x) (* (sqrt y) (sqrt y)))) (* (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (+ x (sqrt y))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- (pow x 3) (pow (sqrt y) 3))) (* (- x (sqrt y)) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y))))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- (* x x) (* (sqrt y) (sqrt y)))) (* (- x (sqrt y)) (+ x (sqrt y))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (+ x (sqrt y)) x) (* (+ x (sqrt y)) (neg (sqrt y))) (* (+ x (sqrt y)) x) (* (+ x (sqrt y)) (neg (sqrt y))) (* x (+ x (sqrt y))) (* (neg (sqrt y)) (+ x (sqrt y))) (* x (+ x (sqrt y))) (* (neg (sqrt y)) (+ x (sqrt y))) (* (+ x (sqrt y)) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (+ x (sqrt y)) (sqrt (- x (sqrt y)))) (* (+ x (sqrt y)) 1) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) 1) (* (cbrt (+ x (sqrt y))) (- x (sqrt y))) (* (sqrt (+ x (sqrt y))) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- x (sqrt y))) (* (+ x (sqrt y)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ x (sqrt y)) (- (* x x) (* (sqrt y) (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- x (sqrt y))) (* (- (* x x) (* (sqrt y) (sqrt y))) (- x (sqrt y))) (/ (exp x) (exp (sqrt y))) (log (- x (sqrt y))) (exp (- x (sqrt y))) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y)))) (cbrt (- x (sqrt y))) (* (* (- x (sqrt y)) (- x (sqrt y))) (- x (sqrt y))) (sqrt (- x (sqrt y))) (sqrt (- x (sqrt y))) (- (pow x 3) (pow (sqrt y) 3)) (+ (* x x) (+ (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (neg (sqrt y)) (- (* x x) (* (sqrt y) (sqrt y))) (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (- x (sqrt y)) (neg (sqrt y)) (* (exp x) (exp (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (* (* (+ x (sqrt y)) (+ x (sqrt y))) (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow (sqrt y) 3)) (+ (* x x) (- (* (sqrt y) (sqrt y)) (* x (sqrt y)))) (- (* x x) (* (sqrt y) (sqrt y))) (- x (sqrt y)) (+ x (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (+ (pow x 2) (* 2 (/ (pow NAN 4) y))) (pow NAN 2)) (- x (+ (* (pow NAN 3) (pow y 2)) (* NAN y))) (- x (+ (/ (pow NAN 3) y) NAN)) (- (+ (/ (pow NAN 3) y) x) NAN) (+ (* (pow NAN 3) (pow y 2)) (+ x (* NAN y))) (+ (/ (pow NAN 3) y) (+ NAN x)) (- (+ NAN x) (/ (pow NAN 3) y)) 0.667 * * [simplify]: iteration 0 : 276 enodes (cost 427 ) 0.672 * * [simplify]: iteration 1 : 1216 enodes (cost 376 ) 0.695 * * [simplify]: iteration 2 : 5002 enodes (cost 365 ) 0.697 * [simplify]: Simplified to: (- (pow x 2) y) (log (- (pow x 2) y)) (log (- (pow x 2) y)) (exp (- (pow x 2) y)) (pow (- (pow x 2) y) 3) (* (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y))))) (cbrt (* (+ x (sqrt y)) (- x (sqrt y)))) (pow (- (pow x 2) y) 3) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (sqrt (* (+ x (sqrt y)) (- x (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (+ (pow x 2) y) (* x (sqrt y))) (- (+ (pow x 2) y) (* x (sqrt y)))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- (pow x 2) y)) (* (+ x (sqrt y)) (- (+ (pow x 2) y) (* x (sqrt y)))) (* (- (pow x 2) y) (- (pow x 3) (pow (sqrt y) 3))) (* (+ (+ (pow x 2) y) (* x (sqrt y))) (- x (sqrt y))) (* (- (pow x 2) y) (- (pow x 2) y)) (- (pow x 2) y) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (+ x (sqrt y))) (sqrt (- x (sqrt y)))) (* x (+ x (sqrt y))) (* -1 (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (* -1 (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (* -1 (+ (* x (sqrt y)) y)) (* x (+ x (sqrt y))) (* -1 (+ (* x (sqrt y)) y)) (* (+ x (sqrt y)) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y))))) (* (+ x (sqrt y)) (sqrt (- x (sqrt y)))) (+ x (sqrt y)) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (* (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y)))) (+ x (sqrt y)) (* (cbrt (+ x (sqrt y))) (- x (sqrt y))) (* (sqrt (+ x (sqrt y))) (- x (sqrt y))) (- (pow x 2) y) (- (pow x 2) y) (* (+ x (sqrt y)) (- (pow x 3) (pow (sqrt y) 3))) (* (- (pow x 2) y) (+ x (sqrt y))) (* (+ (pow x 3) (pow (sqrt y) 3)) (- x (sqrt y))) (* (- (pow x 2) y) (- x (sqrt y))) (exp (- x (sqrt y))) (log (- x (sqrt y))) (exp (- x (sqrt y))) (* (cbrt (- x (sqrt y))) (cbrt (- x (sqrt y)))) (cbrt (- x (sqrt y))) (pow (- x (sqrt y)) 3) (sqrt (- x (sqrt y))) (sqrt (- x (sqrt y))) (- (pow x 3) (pow (sqrt y) 3)) (+ (* x (+ x (sqrt y))) y) (neg (sqrt y)) (- (pow x 2) y) (+ x (sqrt y)) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (+ (sqrt x) (sqrt (sqrt y))) (- (sqrt x) (sqrt (sqrt y))) (- x (sqrt y)) (neg (sqrt y)) (exp (+ x (sqrt y))) (log (+ x (sqrt y))) (exp (+ x (sqrt y))) (* (cbrt (+ x (sqrt y))) (cbrt (+ x (sqrt y)))) (cbrt (+ x (sqrt y))) (pow (+ x (sqrt y)) 3) (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y))) (+ (pow x 3) (pow (sqrt y) 3)) (- (+ (pow x 2) y) (* x (sqrt y))) (- (pow x 2) y) (- x (sqrt y)) (+ x (sqrt y)) (- (pow x 2) y) (- (pow x 2) y) (- (+ (pow x 2) (* 2 (/ (pow NAN 4) y))) (pow NAN 2)) (- x (+ (* (pow NAN 3) (pow y 2)) (* NAN y))) (- x (+ (/ (pow NAN 3) y) NAN)) (- (+ (/ (pow NAN 3) y) x) NAN) (+ (* (pow NAN 3) (pow y 2)) (+ x (* NAN y))) (+ (/ (pow NAN 3) y) (+ NAN x)) (- (+ NAN x) (/ (pow NAN 3) y)) 0.698 * * * [progress]: adding candidates to table 0.766 * [progress]: [Phase 3 of 3] Extracting. 0.766 * * [regime]: Finding splitpoints for: (# #) 0.767 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 0.767 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.798 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 0.831 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 0.863 * * * * [regimes]: Trying to branch on y from (# #) 0.894 * * * * [regimes]: Trying to branch on x from (# #) 0.925 * * * [regime]: Found split indices: #