4.139 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: Extracting # 3 : cost 0 0.046 * * [simplify]: Extracting # 4 : cost 0 0.047 * * [simplify]: Extracting # 5 : cost 0 0.047 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: Extracting # 1 : cost 0 0.051 * * [simplify]: Extracting # 2 : cost 0 0.051 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.061 * * [simplify]: Extracting # 1 : cost 0 0.061 * * [simplify]: Extracting # 2 : cost 0 0.061 * * [simplify]: iteration 2 : 48 enodes (cost 15 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: Extracting # 1 : cost 0 0.083 * * [simplify]: Extracting # 2 : cost 0 0.083 * * [simplify]: iteration 3 : 101 enodes (cost 15 ) 0.115 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: Extracting # 1 : cost 0 0.116 * * [simplify]: Extracting # 2 : cost 0 0.116 * * [simplify]: iteration 4 : 188 enodes (cost 15 ) 0.187 * * [simplify]: Extracting # 0 : cost 0 0.188 * * [simplify]: Extracting # 1 : cost 0 0.189 * * [simplify]: Extracting # 2 : cost 0 0.189 * * [simplify]: Extracting # 3 : cost 0 0.190 * * [simplify]: iteration 5 : 346 enodes (cost 15 ) 0.348 * * [simplify]: Extracting # 0 : cost 0 0.349 * * [simplify]: Extracting # 1 : cost 0 0.350 * * [simplify]: Extracting # 2 : cost 0 0.350 * * [simplify]: Extracting # 3 : cost 0 0.351 * * [simplify]: Extracting # 4 : cost 0 0.351 * * [simplify]: iteration 6 : 579 enodes (cost 15 ) 0.643 * * [simplify]: Extracting # 0 : cost 0 0.645 * * [simplify]: Extracting # 1 : cost 0 0.646 * * [simplify]: Extracting # 2 : cost 0 0.648 * * [simplify]: iteration 7 : 875 enodes (cost 15 ) 1.815 * * [simplify]: Extracting # 0 : cost 0 1.818 * * [simplify]: Extracting # 1 : cost 0 1.819 * * [simplify]: Extracting # 2 : cost 0 1.821 * * [simplify]: iteration 8 : 2271 enodes (cost 15 ) 4.487 * * [simplify]: Extracting # 0 : cost 0 4.493 * * [simplify]: Extracting # 1 : cost 0 4.497 * * [simplify]: Extracting # 2 : cost 0 4.506 * * [simplify]: Extracting # 3 : cost 0 4.510 * * [simplify]: Extracting # 4 : cost 0 4.516 * * [simplify]: iteration done: 5000 enodes (cost 15 ) 4.516 * [simplify]: Simplified to: (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 4.521 * * [progress]: iteration 1 / 4 4.521 * * * [progress]: picking best candidate 4.526 * * * * [pick]: Picked # 4.526 * * * [progress]: localizing error 4.544 * * * [progress]: generating rewritten candidates 4.544 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.592 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.614 * * * [progress]: generating series expansions 4.614 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.614 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 4.614 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 4.614 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 4.614 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.614 * [taylor]: Taking taylor expansion of (+ x y) in y 4.614 * [taylor]: Taking taylor expansion of x in y 4.614 * [backup-simplify]: Simplify x into x 4.614 * [taylor]: Taking taylor expansion of y in y 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 1 into 1 4.614 * [taylor]: Taking taylor expansion of (- x y) in y 4.615 * [taylor]: Taking taylor expansion of x in y 4.615 * [backup-simplify]: Simplify x into x 4.615 * [taylor]: Taking taylor expansion of y in y 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 1 into 1 4.615 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.615 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.615 * [taylor]: Taking taylor expansion of x in y 4.615 * [backup-simplify]: Simplify x into x 4.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.615 * [taylor]: Taking taylor expansion of y in y 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (+ x 0) into x 4.616 * [backup-simplify]: Simplify (- 0) into 0 4.616 * [backup-simplify]: Simplify (+ x 0) into x 4.616 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.616 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.616 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.616 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.616 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.616 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.616 * [taylor]: Taking taylor expansion of (+ x y) in x 4.616 * [taylor]: Taking taylor expansion of x in x 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.616 * [taylor]: Taking taylor expansion of y in x 4.616 * [backup-simplify]: Simplify y into y 4.616 * [taylor]: Taking taylor expansion of (- x y) in x 4.616 * [taylor]: Taking taylor expansion of x in x 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.617 * [taylor]: Taking taylor expansion of y in x 4.617 * [backup-simplify]: Simplify y into y 4.617 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.617 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.617 * [taylor]: Taking taylor expansion of x in x 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.617 * [taylor]: Taking taylor expansion of y in x 4.617 * [backup-simplify]: Simplify y into y 4.617 * [backup-simplify]: Simplify (+ 0 y) into y 4.617 * [backup-simplify]: Simplify (- y) into (- y) 4.617 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.617 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.617 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.617 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.617 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.617 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.617 * [taylor]: Taking taylor expansion of (+ x y) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [taylor]: Taking taylor expansion of y in x 4.618 * [backup-simplify]: Simplify y into y 4.618 * [taylor]: Taking taylor expansion of (- x y) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [taylor]: Taking taylor expansion of y in x 4.618 * [backup-simplify]: Simplify y into y 4.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.618 * [taylor]: Taking taylor expansion of x in x 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.618 * [taylor]: Taking taylor expansion of y in x 4.618 * [backup-simplify]: Simplify y into y 4.618 * [backup-simplify]: Simplify (+ 0 y) into y 4.618 * [backup-simplify]: Simplify (- y) into (- y) 4.618 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.618 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.618 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.619 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.619 * [taylor]: Taking taylor expansion of -1 in y 4.619 * [backup-simplify]: Simplify -1 into -1 4.619 * [backup-simplify]: Simplify -1 into -1 4.619 * [backup-simplify]: Simplify (- 0) into 0 4.620 * [backup-simplify]: Simplify (+ 1 0) into 1 4.620 * [backup-simplify]: Simplify (+ 1 0) into 1 4.621 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.622 * [backup-simplify]: Simplify (+ 0 0) into 0 4.622 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 4.622 * [taylor]: Taking taylor expansion of 0 in y 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (- 0) into 0 4.623 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [backup-simplify]: Simplify (+ 0 0) into 0 4.624 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.624 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.625 * [backup-simplify]: Simplify (+ 1 0) into 1 4.625 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 4.625 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.625 * [taylor]: Taking taylor expansion of 2 in y 4.625 * [backup-simplify]: Simplify 2 into 2 4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.625 * [taylor]: Taking taylor expansion of y in y 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (* 1 1) into 1 4.626 * [backup-simplify]: Simplify (/ 1 1) into 1 4.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify (- 0) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.634 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.635 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 4.635 * [taylor]: Taking taylor expansion of 0 in y 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify -1 into -1 4.635 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.635 * [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 4.636 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.636 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.636 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.636 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.636 * [taylor]: Taking taylor expansion of x in y 4.636 * [backup-simplify]: Simplify x into x 4.636 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.636 * [taylor]: Taking taylor expansion of y in y 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (/ 1 1) into 1 4.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.636 * [taylor]: Taking taylor expansion of y in y 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.637 * [taylor]: Taking taylor expansion of x in y 4.637 * [backup-simplify]: Simplify x into x 4.637 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.637 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.637 * [taylor]: Taking taylor expansion of x in y 4.637 * [backup-simplify]: Simplify x into x 4.637 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.637 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.637 * [taylor]: Taking taylor expansion of y in y 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (* 1 1) into 1 4.638 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [backup-simplify]: Simplify (- 1) into -1 4.639 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.639 * [backup-simplify]: Simplify (+ 1 0) into 1 4.640 * [backup-simplify]: Simplify (* -1 1) into -1 4.640 * [backup-simplify]: Simplify (+ 0 1) into 1 4.641 * [backup-simplify]: Simplify (/ -1 1) into -1 4.641 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.641 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.641 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.641 * [taylor]: Taking taylor expansion of x in x 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.641 * [taylor]: Taking taylor expansion of y in x 4.641 * [backup-simplify]: Simplify y into y 4.641 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.641 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.641 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.641 * [taylor]: Taking taylor expansion of y in x 4.641 * [backup-simplify]: Simplify y into y 4.641 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (/ 1 1) into 1 4.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.642 * [taylor]: Taking taylor expansion of x in x 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (* 1 1) into 1 4.643 * [backup-simplify]: Simplify (/ 1 1) into 1 4.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.643 * [taylor]: Taking taylor expansion of y in x 4.643 * [backup-simplify]: Simplify y into y 4.643 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.643 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.644 * [backup-simplify]: Simplify (+ 1 0) into 1 4.644 * [backup-simplify]: Simplify (+ 0 1) into 1 4.644 * [backup-simplify]: Simplify (* 1 1) into 1 4.645 * [backup-simplify]: Simplify (+ 1 0) into 1 4.645 * [backup-simplify]: Simplify (/ 1 1) into 1 4.645 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.645 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.645 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.645 * [taylor]: Taking taylor expansion of x in x 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (/ 1 1) into 1 4.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.646 * [taylor]: Taking taylor expansion of y in x 4.646 * [backup-simplify]: Simplify y into y 4.646 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.646 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.646 * [taylor]: Taking taylor expansion of y in x 4.646 * [backup-simplify]: Simplify y into y 4.646 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.646 * [taylor]: Taking taylor expansion of x in x 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (/ 1 1) into 1 4.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (* 1 1) into 1 4.647 * [backup-simplify]: Simplify (/ 1 1) into 1 4.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.648 * [taylor]: Taking taylor expansion of y in x 4.648 * [backup-simplify]: Simplify y into y 4.648 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.648 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.648 * [backup-simplify]: Simplify (+ 1 0) into 1 4.649 * [backup-simplify]: Simplify (+ 0 1) into 1 4.649 * [backup-simplify]: Simplify (* 1 1) into 1 4.649 * [backup-simplify]: Simplify (+ 1 0) into 1 4.650 * [backup-simplify]: Simplify (/ 1 1) into 1 4.650 * [taylor]: Taking taylor expansion of 1 in y 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.651 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.652 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.652 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.654 * [taylor]: Taking taylor expansion of 0 in y 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.657 * [backup-simplify]: Simplify (- 0) into 0 4.657 * [backup-simplify]: Simplify (+ 0 0) into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 4.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.661 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 4.661 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.662 * [taylor]: Taking taylor expansion of 2 in y 4.662 * [backup-simplify]: Simplify 2 into 2 4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.662 * [taylor]: Taking taylor expansion of y in y 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (* 1 1) into 1 4.662 * [backup-simplify]: Simplify (/ 1 1) into 1 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.667 * [backup-simplify]: Simplify (- 0) into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.668 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.670 * [backup-simplify]: Simplify (- 0) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.676 * [taylor]: Taking taylor expansion of 0 in y 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 4.676 * [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 4.676 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 4.677 * [taylor]: Taking taylor expansion of -1 in y 4.677 * [backup-simplify]: Simplify -1 into -1 4.677 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.677 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.677 * [taylor]: Taking taylor expansion of y in y 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (/ 1 1) into 1 4.677 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.677 * [taylor]: Taking taylor expansion of x in y 4.677 * [backup-simplify]: Simplify x into x 4.677 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.677 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.677 * [taylor]: Taking taylor expansion of y in y 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify (/ 1 1) into 1 4.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.678 * [taylor]: Taking taylor expansion of x in y 4.678 * [backup-simplify]: Simplify x into x 4.678 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.678 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.678 * [taylor]: Taking taylor expansion of x in y 4.678 * [backup-simplify]: Simplify x into x 4.678 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.678 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.678 * [taylor]: Taking taylor expansion of y in y 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (* 1 1) into 1 4.679 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [backup-simplify]: Simplify (+ 1 0) into 1 4.679 * [backup-simplify]: Simplify (+ 1 0) into 1 4.680 * [backup-simplify]: Simplify (* 1 1) into 1 4.680 * [backup-simplify]: Simplify (+ 0 1) into 1 4.680 * [backup-simplify]: Simplify (/ 1 1) into 1 4.680 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.680 * [taylor]: Taking taylor expansion of -1 in x 4.680 * [backup-simplify]: Simplify -1 into -1 4.680 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.680 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.680 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.680 * [taylor]: Taking taylor expansion of y in x 4.680 * [backup-simplify]: Simplify y into y 4.680 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.680 * [taylor]: Taking taylor expansion of x in x 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.681 * [taylor]: Taking taylor expansion of y in x 4.681 * [backup-simplify]: Simplify y into y 4.681 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.681 * [taylor]: Taking taylor expansion of x in x 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.681 * [taylor]: Taking taylor expansion of x in x 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (* 1 1) into 1 4.682 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.682 * [taylor]: Taking taylor expansion of y in x 4.682 * [backup-simplify]: Simplify y into y 4.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.682 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.683 * [backup-simplify]: Simplify (+ 0 1) into 1 4.683 * [backup-simplify]: Simplify (- 1) into -1 4.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.683 * [backup-simplify]: Simplify (* 1 -1) into -1 4.684 * [backup-simplify]: Simplify (+ 1 0) into 1 4.684 * [backup-simplify]: Simplify (/ -1 1) into -1 4.684 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.684 * [taylor]: Taking taylor expansion of -1 in x 4.684 * [backup-simplify]: Simplify -1 into -1 4.684 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.684 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.684 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.684 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.684 * [taylor]: Taking taylor expansion of y in x 4.684 * [backup-simplify]: Simplify y into y 4.684 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.684 * [taylor]: Taking taylor expansion of x in x 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (/ 1 1) into 1 4.684 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.684 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.684 * [taylor]: Taking taylor expansion of y in x 4.684 * [backup-simplify]: Simplify y into y 4.684 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.684 * [taylor]: Taking taylor expansion of x in x 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (/ 1 1) into 1 4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.685 * [taylor]: Taking taylor expansion of x in x 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (* 1 1) into 1 4.685 * [backup-simplify]: Simplify (/ 1 1) into 1 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.685 * [taylor]: Taking taylor expansion of y in x 4.685 * [backup-simplify]: Simplify y into y 4.685 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.686 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.686 * [backup-simplify]: Simplify (+ 0 1) into 1 4.686 * [backup-simplify]: Simplify (- 1) into -1 4.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.687 * [backup-simplify]: Simplify (* 1 -1) into -1 4.687 * [backup-simplify]: Simplify (+ 1 0) into 1 4.687 * [backup-simplify]: Simplify (/ -1 1) into -1 4.687 * [backup-simplify]: Simplify (* -1 -1) into 1 4.687 * [taylor]: Taking taylor expansion of 1 in y 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify (- 0) into 0 4.688 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.689 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 4.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify (+ 0 0) into 0 4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.691 * [taylor]: Taking taylor expansion of 0 in y 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (- 0) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ 0 0) into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.695 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 4.695 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 4.695 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.696 * [taylor]: Taking taylor expansion of 2 in y 4.696 * [backup-simplify]: Simplify 2 into 2 4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.696 * [taylor]: Taking taylor expansion of y in y 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (* 1 1) into 1 4.696 * [backup-simplify]: Simplify (/ 1 1) into 1 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.699 * [backup-simplify]: Simplify (- 0) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (- 0) into 0 4.701 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 4.708 * [taylor]: Taking taylor expansion of 0 in y 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.708 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 4.708 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 4.708 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.708 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.708 * [taylor]: Taking taylor expansion of x in y 4.708 * [backup-simplify]: Simplify x into x 4.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.708 * [taylor]: Taking taylor expansion of y in y 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.708 * [taylor]: Taking taylor expansion of x in x 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.708 * [taylor]: Taking taylor expansion of y in x 4.708 * [backup-simplify]: Simplify y into y 4.708 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.708 * [taylor]: Taking taylor expansion of x in x 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.708 * [taylor]: Taking taylor expansion of y in x 4.708 * [backup-simplify]: Simplify y into y 4.708 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.709 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.709 * [taylor]: Taking taylor expansion of y in y 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [taylor]: Taking taylor expansion of 0 in y 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (* 1 1) into 1 4.709 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.710 * [backup-simplify]: Simplify (+ 1 0) into 1 4.710 * [taylor]: Taking taylor expansion of 1 in y 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (* 1 1) into 1 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.711 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.711 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [taylor]: Taking taylor expansion of 0 in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.713 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.713 * [taylor]: Taking taylor expansion of 0 in y 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 4.714 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.714 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.714 * [taylor]: Taking taylor expansion of x in y 4.714 * [backup-simplify]: Simplify x into x 4.714 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.714 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.714 * [taylor]: Taking taylor expansion of y in y 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (* 1 1) into 1 4.715 * [backup-simplify]: Simplify (/ 1 1) into 1 4.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.715 * [taylor]: Taking taylor expansion of x in x 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (* 1 1) into 1 4.715 * [backup-simplify]: Simplify (/ 1 1) into 1 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.715 * [taylor]: Taking taylor expansion of y in x 4.715 * [backup-simplify]: Simplify y into y 4.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.715 * [taylor]: Taking taylor expansion of x in x 4.715 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (* 1 1) into 1 4.716 * [backup-simplify]: Simplify (/ 1 1) into 1 4.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.716 * [taylor]: Taking taylor expansion of y in x 4.716 * [backup-simplify]: Simplify y into y 4.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.716 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.716 * [backup-simplify]: Simplify (+ 1 0) into 1 4.717 * [taylor]: Taking taylor expansion of 1 in y 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [taylor]: Taking taylor expansion of 0 in y 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.719 * [taylor]: Taking taylor expansion of y in y 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (* 1 1) into 1 4.719 * [backup-simplify]: Simplify (/ 1 1) into 1 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.724 * [backup-simplify]: Simplify (+ 0 0) into 0 4.724 * [taylor]: Taking taylor expansion of 0 in y 4.724 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.728 * [backup-simplify]: Simplify (+ 0 0) into 0 4.728 * [taylor]: Taking taylor expansion of 0 in y 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.729 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.729 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.729 * [taylor]: Taking taylor expansion of x in y 4.729 * [backup-simplify]: Simplify x into x 4.729 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.729 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.729 * [taylor]: Taking taylor expansion of y in y 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (* 1 1) into 1 4.730 * [backup-simplify]: Simplify (/ 1 1) into 1 4.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.730 * [taylor]: Taking taylor expansion of x in x 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (* 1 1) into 1 4.731 * [backup-simplify]: Simplify (/ 1 1) into 1 4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.731 * [taylor]: Taking taylor expansion of y in x 4.731 * [backup-simplify]: Simplify y into y 4.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.731 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.732 * [taylor]: Taking taylor expansion of x in x 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (* 1 1) into 1 4.732 * [backup-simplify]: Simplify (/ 1 1) into 1 4.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.732 * [taylor]: Taking taylor expansion of y in x 4.732 * [backup-simplify]: Simplify y into y 4.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.733 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.733 * [backup-simplify]: Simplify (+ 1 0) into 1 4.733 * [taylor]: Taking taylor expansion of 1 in y 4.733 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.735 * [backup-simplify]: Simplify (+ 0 0) into 0 4.735 * [taylor]: Taking taylor expansion of 0 in y 4.735 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.737 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.737 * [taylor]: Taking taylor expansion of y in y 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (* 1 1) into 1 4.738 * [backup-simplify]: Simplify (/ 1 1) into 1 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify 1 into 1 4.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.740 * [backup-simplify]: Simplify (+ 0 0) into 0 4.740 * [taylor]: Taking taylor expansion of 0 in y 4.740 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.744 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.745 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [taylor]: Taking taylor expansion of 0 in y 4.745 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.748 * * * [progress]: simplifying candidates 4.749 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (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)) 4.751 * * [simplify]: Extracting # 0 : cost 0 4.751 * * [simplify]: Extracting # 1 : cost 0 4.751 * * [simplify]: Extracting # 2 : cost 0 4.752 * * [simplify]: Extracting # 3 : cost 0 4.752 * * [simplify]: Extracting # 4 : cost 0 4.752 * * [simplify]: Extracting # 5 : cost 0 4.752 * * [simplify]: Extracting # 6 : cost 0 4.753 * * [simplify]: Extracting # 7 : cost 0 4.753 * * [simplify]: iteration 0 : 91 enodes (cost 826 ) 4.779 * * [simplify]: Extracting # 0 : cost 0 4.780 * * [simplify]: Extracting # 1 : cost 0 4.780 * * [simplify]: Extracting # 2 : cost 0 4.781 * * [simplify]: Extracting # 3 : cost 0 4.781 * * [simplify]: Extracting # 4 : cost 0 4.781 * * [simplify]: iteration 1 : 303 enodes (cost 802 ) 4.981 * * [simplify]: Extracting # 0 : cost 0 4.984 * * [simplify]: Extracting # 1 : cost 0 4.987 * * [simplify]: Extracting # 2 : cost 0 4.994 * * [simplify]: Extracting # 3 : cost 0 4.997 * * [simplify]: Extracting # 4 : cost 0 4.999 * * [simplify]: Extracting # 5 : cost 0 5.002 * * [simplify]: iteration 2 : 1443 enodes (cost 662 ) 5.627 * * [simplify]: Extracting # 0 : cost 0 5.636 * * [simplify]: Extracting # 1 : cost 0 5.645 * * [simplify]: Extracting # 2 : cost 0 5.651 * * [simplify]: Extracting # 3 : cost 0 5.658 * * [simplify]: Extracting # 4 : cost 0 5.664 * * [simplify]: iteration done: 5000 enodes (cost 655 ) 5.665 * [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)) (- (+ (* 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 6) (pow y 6))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y (+ x y)))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (* y (+ x y))))) (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* y (- y x)) (* x x))) (- (pow x 4) (pow y 4)) (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x 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 y 4) (pow x 4)) (* (* x x) (* y y))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) -1 1 1 (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) 5.665 * * * [progress]: adding candidates to table 5.815 * * [progress]: iteration 2 / 4 5.815 * * * [progress]: picking best candidate 5.819 * * * * [pick]: Picked # 5.819 * * * [progress]: localizing error 5.819 * * * [progress]: generating rewritten candidates 5.819 * * * [progress]: generating series expansions 5.819 * * * [progress]: simplifying candidates 5.820 * [simplify]: Simplifying: 5.820 * * [simplify]: Extracting # 0 : cost 0 5.820 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.820 * * [simplify]: Extracting # 0 : cost 0 5.820 * * [simplify]: iteration done: 0 enodes (cost 0 ) 5.820 * [simplify]: Simplified to: 5.820 * * * [progress]: adding candidates to table 5.820 * * [progress]: iteration 3 / 4 5.820 * * * [progress]: picking best candidate 5.823 * * * * [pick]: Picked # 5.823 * * * [progress]: localizing error 5.845 * * * [progress]: generating rewritten candidates 5.845 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.916 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.029 * * * [progress]: generating series expansions 6.029 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.030 * [backup-simplify]: Simplify (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) into (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 6.030 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in (x y) around 0 6.030 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in y 6.030 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 6.030 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.030 * [taylor]: Taking taylor expansion of x in y 6.030 * [backup-simplify]: Simplify x into x 6.030 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.030 * [taylor]: Taking taylor expansion of y in y 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 6.030 * [taylor]: Taking taylor expansion of (+ x y) in y 6.030 * [taylor]: Taking taylor expansion of x in y 6.030 * [backup-simplify]: Simplify x into x 6.030 * [taylor]: Taking taylor expansion of y in y 6.030 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [taylor]: Taking taylor expansion of (- x y) in y 6.031 * [taylor]: Taking taylor expansion of x in y 6.031 * [backup-simplify]: Simplify x into x 6.031 * [taylor]: Taking taylor expansion of y in y 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.031 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.031 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 6.031 * [backup-simplify]: Simplify (+ x 0) into x 6.032 * [backup-simplify]: Simplify (- 0) into 0 6.032 * [backup-simplify]: Simplify (+ x 0) into x 6.032 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.032 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 6.032 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in x 6.032 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.032 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.032 * [taylor]: Taking taylor expansion of x in x 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.032 * [taylor]: Taking taylor expansion of y in x 6.033 * [backup-simplify]: Simplify y into y 6.033 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.033 * [taylor]: Taking taylor expansion of (+ x y) in x 6.033 * [taylor]: Taking taylor expansion of x in x 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.033 * [taylor]: Taking taylor expansion of y in x 6.033 * [backup-simplify]: Simplify y into y 6.033 * [taylor]: Taking taylor expansion of (- x y) in x 6.033 * [taylor]: Taking taylor expansion of x in x 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.033 * [taylor]: Taking taylor expansion of y in x 6.033 * [backup-simplify]: Simplify y into y 6.033 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.033 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.033 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.033 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.034 * [backup-simplify]: Simplify (+ 0 y) into y 6.034 * [backup-simplify]: Simplify (- y) into (- y) 6.034 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.034 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.034 * [backup-simplify]: Simplify (/ (- (pow y 4)) (* -1 (pow y 2))) into (pow y 2) 6.034 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in x 6.034 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.034 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.034 * [taylor]: Taking taylor expansion of x in x 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.034 * [taylor]: Taking taylor expansion of y in x 6.034 * [backup-simplify]: Simplify y into y 6.034 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.034 * [taylor]: Taking taylor expansion of (+ x y) in x 6.034 * [taylor]: Taking taylor expansion of x in x 6.034 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify 1 into 1 6.034 * [taylor]: Taking taylor expansion of y in x 6.034 * [backup-simplify]: Simplify y into y 6.034 * [taylor]: Taking taylor expansion of (- x y) in x 6.035 * [taylor]: Taking taylor expansion of x in x 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [taylor]: Taking taylor expansion of y in x 6.035 * [backup-simplify]: Simplify y into y 6.035 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.035 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.035 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.035 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.035 * [backup-simplify]: Simplify (+ 0 y) into y 6.035 * [backup-simplify]: Simplify (- y) into (- y) 6.035 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.035 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.036 * [backup-simplify]: Simplify (/ (- (pow y 4)) (* -1 (pow y 2))) into (pow y 2) 6.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.036 * [taylor]: Taking taylor expansion of y in y 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.036 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (- 0) into 0 6.038 * [backup-simplify]: Simplify (+ 1 0) into 1 6.038 * [backup-simplify]: Simplify (+ 1 0) into 1 6.039 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 6.039 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 0 (* -1 (pow y 2)))))) into 0 6.039 * [taylor]: Taking taylor expansion of 0 in y 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.040 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.041 * [backup-simplify]: Simplify (- 0) into 0 6.041 * [backup-simplify]: Simplify (+ 0 0) into 0 6.041 * [backup-simplify]: Simplify (- 0) into 0 6.042 * [backup-simplify]: Simplify (+ 0 0) into 0 6.042 * [backup-simplify]: Simplify (+ 0 0) into 0 6.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 6.043 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into 1 6.043 * [taylor]: Taking taylor expansion of 1 in y 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify (* 1 1) into 1 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.045 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.046 * [backup-simplify]: Simplify (- 0) into 0 6.046 * [backup-simplify]: Simplify (+ 0 0) into 0 6.046 * [backup-simplify]: Simplify (- 0) into 0 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 6.049 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* 1 (/ 0 (* -1 (pow y 2)))))) into 0 6.049 * [taylor]: Taking taylor expansion of 0 in y 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (* 1 1) into 1 6.051 * [backup-simplify]: Simplify (* 1 1) into 1 6.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.052 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.053 * [backup-simplify]: Simplify (- 0) into 0 6.053 * [backup-simplify]: Simplify (+ 1 0) into 1 6.053 * [backup-simplify]: Simplify (- 0) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 6.055 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 0 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))) (* 1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into 0 6.055 * [taylor]: Taking taylor expansion of 0 in y 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 6.055 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) 6.055 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.056 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 6.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.056 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.056 * [taylor]: Taking taylor expansion of x in y 6.056 * [backup-simplify]: Simplify x into x 6.056 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.056 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.056 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.056 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.056 * [taylor]: Taking taylor expansion of y in y 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (* 1 1) into 1 6.056 * [backup-simplify]: Simplify (* 1 1) into 1 6.057 * [backup-simplify]: Simplify (/ 1 1) into 1 6.057 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 6.057 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 6.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.057 * [taylor]: Taking taylor expansion of x in y 6.057 * [backup-simplify]: Simplify x into x 6.057 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.057 * [taylor]: Taking taylor expansion of y in y 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [backup-simplify]: Simplify (/ 1 1) into 1 6.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.057 * [taylor]: Taking taylor expansion of y in y 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [backup-simplify]: Simplify (/ 1 1) into 1 6.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.058 * [taylor]: Taking taylor expansion of x in y 6.058 * [backup-simplify]: Simplify x into x 6.058 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.058 * [backup-simplify]: Simplify (- 1) into -1 6.058 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.058 * [backup-simplify]: Simplify (- 1) into -1 6.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.059 * [backup-simplify]: Simplify (+ 1 0) into 1 6.059 * [backup-simplify]: Simplify (* -1 1) into -1 6.059 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.059 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 6.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.059 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.059 * [taylor]: Taking taylor expansion of x in x 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (* 1 1) into 1 6.060 * [backup-simplify]: Simplify (* 1 1) into 1 6.060 * [backup-simplify]: Simplify (/ 1 1) into 1 6.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.060 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.060 * [taylor]: Taking taylor expansion of y in x 6.060 * [backup-simplify]: Simplify y into y 6.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.060 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.060 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.061 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.061 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.061 * [taylor]: Taking taylor expansion of x in x 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 1 into 1 6.061 * [backup-simplify]: Simplify (/ 1 1) into 1 6.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.061 * [taylor]: Taking taylor expansion of y in x 6.061 * [backup-simplify]: Simplify y into y 6.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.061 * [taylor]: Taking taylor expansion of y in x 6.061 * [backup-simplify]: Simplify y into y 6.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.061 * [taylor]: Taking taylor expansion of x in x 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 1 into 1 6.061 * [backup-simplify]: Simplify (/ 1 1) into 1 6.062 * [backup-simplify]: Simplify (+ 1 0) into 1 6.062 * [backup-simplify]: Simplify (+ 1 0) into 1 6.062 * [backup-simplify]: Simplify (+ 0 1) into 1 6.062 * [backup-simplify]: Simplify (* 1 1) into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 6.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.063 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.063 * [taylor]: Taking taylor expansion of x in x 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (* 1 1) into 1 6.063 * [backup-simplify]: Simplify (* 1 1) into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.063 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.063 * [taylor]: Taking taylor expansion of y in x 6.063 * [backup-simplify]: Simplify y into y 6.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.064 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.064 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.064 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.064 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.064 * [taylor]: Taking taylor expansion of x in x 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 1 into 1 6.064 * [backup-simplify]: Simplify (/ 1 1) into 1 6.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.064 * [taylor]: Taking taylor expansion of y in x 6.064 * [backup-simplify]: Simplify y into y 6.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.064 * [taylor]: Taking taylor expansion of y in x 6.064 * [backup-simplify]: Simplify y into y 6.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.064 * [taylor]: Taking taylor expansion of x in x 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 1 into 1 6.065 * [backup-simplify]: Simplify (/ 1 1) into 1 6.065 * [backup-simplify]: Simplify (+ 1 0) into 1 6.065 * [backup-simplify]: Simplify (+ 1 0) into 1 6.065 * [backup-simplify]: Simplify (+ 0 1) into 1 6.066 * [backup-simplify]: Simplify (* 1 1) into 1 6.066 * [backup-simplify]: Simplify (/ 1 1) into 1 6.066 * [taylor]: Taking taylor expansion of 1 in y 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.069 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.069 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 6.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.070 * [taylor]: Taking taylor expansion of 0 in y 6.070 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (+ 0 0) into 0 6.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.074 * [backup-simplify]: Simplify (- 0) into 0 6.074 * [backup-simplify]: Simplify (+ 0 0) into 0 6.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 6.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 6.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.076 * [taylor]: Taking taylor expansion of y in y 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.077 * [backup-simplify]: Simplify (/ 1 1) into 1 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (+ 0 0) into 0 6.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.081 * [backup-simplify]: Simplify (- 0) into 0 6.081 * [backup-simplify]: Simplify (+ 0 0) into 0 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 6.083 * [taylor]: Taking taylor expansion of 0 in y 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.086 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 6.086 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 6.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (+ 0 0) into 0 6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.088 * [backup-simplify]: Simplify (- 0) into 0 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 6.090 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 6.090 * [taylor]: Taking taylor expansion of 0 in y 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.092 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 6.092 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 6.092 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 6.092 * [taylor]: Taking taylor expansion of -1 in y 6.092 * [backup-simplify]: Simplify -1 into -1 6.092 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 6.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.092 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.092 * [taylor]: Taking taylor expansion of x in y 6.092 * [backup-simplify]: Simplify x into x 6.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.092 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.092 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.092 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.092 * [taylor]: Taking taylor expansion of y in y 6.092 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (* 1 1) into 1 6.093 * [backup-simplify]: Simplify (* 1 1) into 1 6.093 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 6.093 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.093 * [taylor]: Taking taylor expansion of y in y 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.093 * [taylor]: Taking taylor expansion of x in y 6.093 * [backup-simplify]: Simplify x into x 6.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.094 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 6.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.094 * [taylor]: Taking taylor expansion of y in y 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (/ 1 1) into 1 6.094 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.094 * [taylor]: Taking taylor expansion of x in y 6.094 * [backup-simplify]: Simplify x into x 6.094 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.094 * [backup-simplify]: Simplify (- 1) into -1 6.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.095 * [backup-simplify]: Simplify (+ 1 0) into 1 6.095 * [backup-simplify]: Simplify (+ 1 0) into 1 6.095 * [backup-simplify]: Simplify (* 1 1) into 1 6.095 * [backup-simplify]: Simplify (/ -1 1) into -1 6.095 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 6.095 * [taylor]: Taking taylor expansion of -1 in x 6.095 * [backup-simplify]: Simplify -1 into -1 6.095 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 6.095 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.096 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.096 * [taylor]: Taking taylor expansion of x in x 6.096 * [backup-simplify]: Simplify 0 into 0 6.096 * [backup-simplify]: Simplify 1 into 1 6.096 * [backup-simplify]: Simplify (* 1 1) into 1 6.096 * [backup-simplify]: Simplify (* 1 1) into 1 6.096 * [backup-simplify]: Simplify (/ 1 1) into 1 6.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.096 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.096 * [taylor]: Taking taylor expansion of y in x 6.096 * [backup-simplify]: Simplify y into y 6.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.097 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.097 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.097 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.097 * [taylor]: Taking taylor expansion of y in x 6.097 * [backup-simplify]: Simplify y into y 6.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.097 * [taylor]: Taking taylor expansion of x in x 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.097 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.097 * [taylor]: Taking taylor expansion of y in x 6.097 * [backup-simplify]: Simplify y into y 6.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.097 * [taylor]: Taking taylor expansion of x in x 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.098 * [backup-simplify]: Simplify (+ 1 0) into 1 6.098 * [backup-simplify]: Simplify (+ 0 1) into 1 6.098 * [backup-simplify]: Simplify (- 1) into -1 6.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.099 * [backup-simplify]: Simplify (* 1 -1) into -1 6.099 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.099 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 6.099 * [taylor]: Taking taylor expansion of -1 in x 6.099 * [backup-simplify]: Simplify -1 into -1 6.099 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 6.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.099 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.099 * [taylor]: Taking taylor expansion of x in x 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 1 into 1 6.100 * [backup-simplify]: Simplify (* 1 1) into 1 6.100 * [backup-simplify]: Simplify (* 1 1) into 1 6.100 * [backup-simplify]: Simplify (/ 1 1) into 1 6.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.100 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.100 * [taylor]: Taking taylor expansion of y in x 6.100 * [backup-simplify]: Simplify y into y 6.100 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.100 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.100 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.100 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.100 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.100 * [taylor]: Taking taylor expansion of y in x 6.100 * [backup-simplify]: Simplify y into y 6.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.101 * [taylor]: Taking taylor expansion of x in x 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (/ 1 1) into 1 6.101 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.101 * [taylor]: Taking taylor expansion of y in x 6.101 * [backup-simplify]: Simplify y into y 6.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.101 * [taylor]: Taking taylor expansion of x in x 6.101 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (/ 1 1) into 1 6.102 * [backup-simplify]: Simplify (+ 1 0) into 1 6.102 * [backup-simplify]: Simplify (+ 0 1) into 1 6.102 * [backup-simplify]: Simplify (- 1) into -1 6.102 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.103 * [backup-simplify]: Simplify (* 1 -1) into -1 6.103 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.104 * [backup-simplify]: Simplify (* -1 -1) into 1 6.104 * [taylor]: Taking taylor expansion of 1 in y 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (- 0) into 0 6.107 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.108 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 6.109 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 6.110 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.110 * [taylor]: Taking taylor expansion of 0 in y 6.110 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.113 * [backup-simplify]: Simplify (+ 0 0) into 0 6.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.114 * [backup-simplify]: Simplify (- 0) into 0 6.115 * [backup-simplify]: Simplify (+ 0 0) into 0 6.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify (+ 0 0) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 6.124 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ 1 (pow y 2))) 6.125 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (/ 1 (pow y 2)) 6.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.125 * [taylor]: Taking taylor expansion of y in y 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (* 1 1) into 1 6.125 * [backup-simplify]: Simplify (/ 1 1) into 1 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify 1 into 1 6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (+ 0 0) into 0 6.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (- 0) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify (+ 0 0) into 0 6.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 6.135 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (/ 1 (pow y 2))) (/ 0 -1)))) into 0 6.136 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 6.136 * [taylor]: Taking taylor expansion of 0 in y 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.138 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 6.139 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 6.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (- 0) into 0 6.140 * [backup-simplify]: Simplify (+ 0 0) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 6.143 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (/ 1 (pow y 2))) (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into 0 6.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))))) into 0 6.144 * [taylor]: Taking taylor expansion of 0 in y 6.144 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.146 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.146 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) into (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) 6.146 * [approximate]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in (x y) around 0 6.146 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in y 6.146 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow (- x y) 2)) in y 6.146 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 6.146 * [taylor]: Taking taylor expansion of (+ x y) in y 6.146 * [taylor]: Taking taylor expansion of x in y 6.146 * [backup-simplify]: Simplify x into x 6.146 * [taylor]: Taking taylor expansion of y in y 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (+ x 0) into x 6.146 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in y 6.146 * [taylor]: Taking taylor expansion of (- x y) in y 6.146 * [taylor]: Taking taylor expansion of x in y 6.146 * [backup-simplify]: Simplify x into x 6.146 * [taylor]: Taking taylor expansion of y in y 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (- 0) into 0 6.147 * [backup-simplify]: Simplify (+ x 0) into x 6.147 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 6.147 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.147 * [taylor]: Taking taylor expansion of x in y 6.147 * [backup-simplify]: Simplify x into x 6.147 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.147 * [taylor]: Taking taylor expansion of y in y 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.147 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.147 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.147 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.147 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.147 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 6.147 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 4)) into 1 6.147 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in x 6.147 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow (- x y) 2)) in x 6.147 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 6.147 * [taylor]: Taking taylor expansion of (+ x y) in x 6.147 * [taylor]: Taking taylor expansion of x in x 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [taylor]: Taking taylor expansion of y in x 6.148 * [backup-simplify]: Simplify y into y 6.148 * [backup-simplify]: Simplify (+ 0 y) into y 6.148 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 6.148 * [taylor]: Taking taylor expansion of (- x y) in x 6.148 * [taylor]: Taking taylor expansion of x in x 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [taylor]: Taking taylor expansion of y in x 6.148 * [backup-simplify]: Simplify y into y 6.148 * [backup-simplify]: Simplify (- y) into (- y) 6.148 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.148 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.148 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.148 * [taylor]: Taking taylor expansion of x in x 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.148 * [taylor]: Taking taylor expansion of y in x 6.148 * [backup-simplify]: Simplify y into y 6.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.148 * [backup-simplify]: Simplify (* (- y) (- y)) into (pow y 2) 6.148 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.148 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.148 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.148 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.149 * [backup-simplify]: Simplify (/ (pow y 4) (- (pow y 4))) into -1 6.149 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in x 6.149 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow (- x y) 2)) in x 6.149 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 6.149 * [taylor]: Taking taylor expansion of (+ x y) in x 6.149 * [taylor]: Taking taylor expansion of x in x 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [taylor]: Taking taylor expansion of y in x 6.149 * [backup-simplify]: Simplify y into y 6.149 * [backup-simplify]: Simplify (+ 0 y) into y 6.149 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 6.149 * [taylor]: Taking taylor expansion of (- x y) in x 6.149 * [taylor]: Taking taylor expansion of x in x 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [taylor]: Taking taylor expansion of y in x 6.149 * [backup-simplify]: Simplify y into y 6.149 * [backup-simplify]: Simplify (- y) into (- y) 6.149 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.149 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.149 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.149 * [taylor]: Taking taylor expansion of x in x 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.149 * [taylor]: Taking taylor expansion of y in x 6.149 * [backup-simplify]: Simplify y into y 6.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.149 * [backup-simplify]: Simplify (* (- y) (- y)) into (pow y 2) 6.149 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.149 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.150 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.150 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.150 * [backup-simplify]: Simplify (/ (pow y 4) (- (pow y 4))) into -1 6.150 * [taylor]: Taking taylor expansion of -1 in y 6.150 * [backup-simplify]: Simplify -1 into -1 6.150 * [backup-simplify]: Simplify -1 into -1 6.150 * [backup-simplify]: Simplify (- 0) into 0 6.151 * [backup-simplify]: Simplify (+ 1 0) into 1 6.151 * [backup-simplify]: Simplify (+ (* (- y) 1) (* 1 (- y))) into (- (* 2 y)) 6.151 * [backup-simplify]: Simplify (+ 1 0) into 1 6.151 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 6.151 * [backup-simplify]: Simplify (+ (* (pow y 2) (- (* 2 y))) (* (* 2 y) (pow y 2))) into 0 6.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.152 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 6.152 * [backup-simplify]: Simplify (- 0) into 0 6.152 * [backup-simplify]: Simplify (+ 0 0) into 0 6.152 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 4))) (+ (* -1 (/ 0 (- (pow y 4)))))) into 0 6.152 * [taylor]: Taking taylor expansion of 0 in y 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify (- 0) into 0 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [backup-simplify]: Simplify (+ (* (- y) 0) (+ (* 1 1) (* 0 (- y)))) into 1 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.154 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 6.154 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* (* 2 y) (- (* 2 y))) (* 1 (pow y 2)))) into (- (* 2 (pow y 2))) 6.154 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.155 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.155 * [backup-simplify]: Simplify (- 0) into 0 6.155 * [backup-simplify]: Simplify (+ 0 0) into 0 6.155 * [backup-simplify]: Simplify (- (/ (- (* 2 (pow y 2))) (- (pow y 4))) (+ (* -1 (/ 0 (- (pow y 4)))) (* 0 (/ 0 (- (pow y 4)))))) into (* 2 (/ 1 (pow y 2))) 6.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.155 * [taylor]: Taking taylor expansion of 2 in y 6.155 * [backup-simplify]: Simplify 2 into 2 6.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.156 * [taylor]: Taking taylor expansion of y in y 6.156 * [backup-simplify]: Simplify 0 into 0 6.156 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (* 1 1) into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify (- 0) into 0 6.159 * [backup-simplify]: Simplify (+ 0 0) into 0 6.159 * [backup-simplify]: Simplify (+ (* (- y) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 6.160 * [backup-simplify]: Simplify (+ 0 0) into 0 6.160 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 6.160 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* (* 2 y) 1) (+ (* 1 (- (* 2 y))) (* 0 (pow y 2))))) into 0 6.161 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.162 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.162 * [backup-simplify]: Simplify (- 0) into 0 6.162 * [backup-simplify]: Simplify (+ 0 0) into 0 6.163 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 4))) (+ (* -1 (/ 0 (- (pow y 4)))) (* 0 (/ 0 (- (pow y 4)))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (- (pow y 4)))))) into 0 6.163 * [taylor]: Taking taylor expansion of 0 in y 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify -1 into -1 6.163 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))))) into (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 6.163 * [approximate]: Taking taylor expansion of (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 6.163 * [taylor]: Taking taylor expansion of (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 6.163 * [taylor]: Taking taylor expansion of (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 6.163 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in y 6.163 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 6.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.163 * [taylor]: Taking taylor expansion of x in y 6.163 * [backup-simplify]: Simplify x into x 6.163 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.163 * [taylor]: Taking taylor expansion of y in y 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (/ 1 1) into 1 6.164 * [backup-simplify]: Simplify (- 1) into -1 6.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.164 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 6.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.164 * [taylor]: Taking taylor expansion of y in y 6.164 * [backup-simplify]: Simplify 0 into 0 6.164 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (/ 1 1) into 1 6.164 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.165 * [taylor]: Taking taylor expansion of x in y 6.165 * [backup-simplify]: Simplify x into x 6.165 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.165 * [backup-simplify]: Simplify (+ 1 0) into 1 6.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.165 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.165 * [taylor]: Taking taylor expansion of x in y 6.165 * [backup-simplify]: Simplify x into x 6.165 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.165 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.165 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.165 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.165 * [taylor]: Taking taylor expansion of y in y 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.166 * [backup-simplify]: Simplify (* 1 1) into 1 6.166 * [backup-simplify]: Simplify (* 1 1) into 1 6.166 * [backup-simplify]: Simplify (/ 1 1) into 1 6.166 * [backup-simplify]: Simplify (* -1 -1) into 1 6.166 * [backup-simplify]: Simplify (* 1 1) into 1 6.167 * [backup-simplify]: Simplify (* 1 1) into 1 6.167 * [backup-simplify]: Simplify (- 1) into -1 6.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.167 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.167 * [taylor]: Taking taylor expansion of (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.168 * [taylor]: Taking taylor expansion of (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 6.168 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 6.168 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.168 * [taylor]: Taking taylor expansion of x in x 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.168 * [backup-simplify]: Simplify (/ 1 1) into 1 6.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.168 * [taylor]: Taking taylor expansion of y in x 6.168 * [backup-simplify]: Simplify y into y 6.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.168 * [backup-simplify]: Simplify (+ 1 0) into 1 6.168 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 6.168 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.168 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.168 * [taylor]: Taking taylor expansion of y in x 6.168 * [backup-simplify]: Simplify y into y 6.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.168 * [taylor]: Taking taylor expansion of x in x 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify (/ 1 1) into 1 6.169 * [backup-simplify]: Simplify (+ 0 1) into 1 6.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.169 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.169 * [taylor]: Taking taylor expansion of x in x 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify (* 1 1) into 1 6.170 * [backup-simplify]: Simplify (* 1 1) into 1 6.170 * [backup-simplify]: Simplify (/ 1 1) into 1 6.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.170 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.170 * [taylor]: Taking taylor expansion of y in x 6.170 * [backup-simplify]: Simplify y into y 6.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.170 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.170 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.170 * [backup-simplify]: Simplify (* 1 1) into 1 6.171 * [backup-simplify]: Simplify (* 1 1) into 1 6.171 * [backup-simplify]: Simplify (* 1 1) into 1 6.171 * [backup-simplify]: Simplify (+ 1 0) into 1 6.171 * [backup-simplify]: Simplify (/ 1 1) into 1 6.171 * [taylor]: Taking taylor expansion of (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.171 * [taylor]: Taking taylor expansion of (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 6.171 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 6.171 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.172 * [taylor]: Taking taylor expansion of x in x 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (/ 1 1) into 1 6.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.172 * [taylor]: Taking taylor expansion of y in x 6.172 * [backup-simplify]: Simplify y into y 6.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.172 * [backup-simplify]: Simplify (+ 1 0) into 1 6.172 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 6.172 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.172 * [taylor]: Taking taylor expansion of y in x 6.172 * [backup-simplify]: Simplify y into y 6.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.172 * [taylor]: Taking taylor expansion of x in x 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (/ 1 1) into 1 6.173 * [backup-simplify]: Simplify (+ 0 1) into 1 6.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.173 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.173 * [taylor]: Taking taylor expansion of x in x 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (* 1 1) into 1 6.173 * [backup-simplify]: Simplify (* 1 1) into 1 6.174 * [backup-simplify]: Simplify (/ 1 1) into 1 6.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.174 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.174 * [taylor]: Taking taylor expansion of y in x 6.174 * [backup-simplify]: Simplify y into y 6.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.174 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.174 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.174 * [backup-simplify]: Simplify (* 1 1) into 1 6.174 * [backup-simplify]: Simplify (* 1 1) into 1 6.175 * [backup-simplify]: Simplify (* 1 1) into 1 6.175 * [backup-simplify]: Simplify (+ 1 0) into 1 6.175 * [backup-simplify]: Simplify (/ 1 1) into 1 6.175 * [taylor]: Taking taylor expansion of 1 in y 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.176 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.176 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.177 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 6.177 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (* (- (* 2 (/ 1 y))) 1)) into 0 6.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.178 * [backup-simplify]: Simplify (+ 0 0) into 0 6.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.178 * [taylor]: Taking taylor expansion of 0 in y 6.178 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.179 * [backup-simplify]: Simplify (+ 0 0) into 0 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.181 * [backup-simplify]: Simplify (- 0) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* 0 1))) into (/ 1 (pow y 2)) 6.182 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (* 2 (/ 1 y))) (* 2 (/ 1 y))) (* (/ 1 (pow y 2)) 1))) into (- (* 2 (/ 1 (pow y 2)))) 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 6.184 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.184 * [taylor]: Taking taylor expansion of 2 in y 6.184 * [backup-simplify]: Simplify 2 into 2 6.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.185 * [taylor]: Taking taylor expansion of y in y 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.185 * [backup-simplify]: Simplify (* 1 1) into 1 6.185 * [backup-simplify]: Simplify (/ 1 1) into 1 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.188 * [backup-simplify]: Simplify (- 0) into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ 0 0) into 0 6.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.190 * [backup-simplify]: Simplify (- 0) into 0 6.190 * [backup-simplify]: Simplify (+ 0 0) into 0 6.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 6.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (* 2 (/ 1 y))) (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) (* 2 (/ 1 y))) (* 0 1)))) into 0 6.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (+ 0 0) into 0 6.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.195 * [taylor]: Taking taylor expansion of 0 in y 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify 1 into 1 6.196 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))))) into (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 6.196 * [approximate]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 6.196 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 6.196 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in y 6.196 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 6.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.196 * [taylor]: Taking taylor expansion of y in y 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.196 * [backup-simplify]: Simplify (/ 1 1) into 1 6.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.196 * [taylor]: Taking taylor expansion of x in y 6.196 * [backup-simplify]: Simplify x into x 6.196 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.196 * [backup-simplify]: Simplify (+ 1 0) into 1 6.196 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in y 6.196 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 6.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.196 * [taylor]: Taking taylor expansion of y in y 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.197 * [taylor]: Taking taylor expansion of x in y 6.197 * [backup-simplify]: Simplify x into x 6.197 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.197 * [backup-simplify]: Simplify (+ 1 0) into 1 6.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.197 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.197 * [taylor]: Taking taylor expansion of x in y 6.197 * [backup-simplify]: Simplify x into x 6.197 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.197 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.197 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.197 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.198 * [taylor]: Taking taylor expansion of y in y 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (* 1 1) into 1 6.198 * [backup-simplify]: Simplify (* 1 1) into 1 6.198 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (- 1) into -1 6.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.200 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.200 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.200 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in x 6.200 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 6.200 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.200 * [taylor]: Taking taylor expansion of y in x 6.200 * [backup-simplify]: Simplify y into y 6.200 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.200 * [taylor]: Taking taylor expansion of x in x 6.200 * [backup-simplify]: Simplify 0 into 0 6.200 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [backup-simplify]: Simplify (+ 0 1) into 1 6.201 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 6.201 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.201 * [taylor]: Taking taylor expansion of y in x 6.201 * [backup-simplify]: Simplify y into y 6.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.201 * [taylor]: Taking taylor expansion of x in x 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [backup-simplify]: Simplify (- 1) into -1 6.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.202 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.202 * [taylor]: Taking taylor expansion of x in x 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (* 1 1) into 1 6.202 * [backup-simplify]: Simplify (* 1 1) into 1 6.202 * [backup-simplify]: Simplify (/ 1 1) into 1 6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.202 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.202 * [taylor]: Taking taylor expansion of y in x 6.202 * [backup-simplify]: Simplify y into y 6.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.203 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.203 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.203 * [backup-simplify]: Simplify (* 1 1) into 1 6.203 * [backup-simplify]: Simplify (* -1 -1) into 1 6.203 * [backup-simplify]: Simplify (* 1 1) into 1 6.204 * [backup-simplify]: Simplify (+ 1 0) into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.204 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.204 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in x 6.204 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 6.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.204 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.204 * [taylor]: Taking taylor expansion of y in x 6.204 * [backup-simplify]: Simplify y into y 6.204 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.204 * [taylor]: Taking taylor expansion of x in x 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [backup-simplify]: Simplify (+ 0 1) into 1 6.205 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 6.205 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.205 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.205 * [taylor]: Taking taylor expansion of y in x 6.205 * [backup-simplify]: Simplify y into y 6.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.205 * [taylor]: Taking taylor expansion of x in x 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [backup-simplify]: Simplify (- 1) into -1 6.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.206 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.206 * [taylor]: Taking taylor expansion of x in x 6.206 * [backup-simplify]: Simplify 0 into 0 6.206 * [backup-simplify]: Simplify 1 into 1 6.206 * [backup-simplify]: Simplify (* 1 1) into 1 6.206 * [backup-simplify]: Simplify (* 1 1) into 1 6.206 * [backup-simplify]: Simplify (/ 1 1) into 1 6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.206 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.206 * [taylor]: Taking taylor expansion of y in x 6.206 * [backup-simplify]: Simplify y into y 6.207 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.207 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.207 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.207 * [backup-simplify]: Simplify (* 1 1) into 1 6.207 * [backup-simplify]: Simplify (* -1 -1) into 1 6.207 * [backup-simplify]: Simplify (* 1 1) into 1 6.208 * [backup-simplify]: Simplify (+ 1 0) into 1 6.208 * [backup-simplify]: Simplify (/ 1 1) into 1 6.208 * [taylor]: Taking taylor expansion of 1 in y 6.208 * [backup-simplify]: Simplify 1 into 1 6.208 * [backup-simplify]: Simplify 1 into 1 6.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (- 0) into 0 6.209 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.209 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) -1)) into (- (* 2 (/ 1 y))) 6.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.209 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 6.210 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (* (* 2 (/ 1 y)) 1)) into 0 6.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.211 * [backup-simplify]: Simplify (+ 0 0) into 0 6.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.211 * [taylor]: Taking taylor expansion of 0 in y 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify (- 0) into 0 6.213 * [backup-simplify]: Simplify (+ 0 0) into 0 6.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 6.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (+ 0 0) into 0 6.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 6.215 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (* 2 (/ 1 y)) (- (* 2 (/ 1 y)))) (* (/ 1 (pow y 2)) 1))) into (- (* 2 (/ 1 (pow y 2)))) 6.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (+ 0 0) into 0 6.221 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 6.221 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.222 * [taylor]: Taking taylor expansion of 2 in y 6.222 * [backup-simplify]: Simplify 2 into 2 6.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.222 * [taylor]: Taking taylor expansion of y in y 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.222 * [backup-simplify]: Simplify (* 1 1) into 1 6.222 * [backup-simplify]: Simplify (/ 1 1) into 1 6.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.225 * [backup-simplify]: Simplify (- 0) into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.226 * [backup-simplify]: Simplify (- 0) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 y)) (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) (- (* 2 (/ 1 y)))) (* 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ 0 0) into 0 6.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.232 * [taylor]: Taking taylor expansion of 0 in y 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * * * [progress]: simplifying candidates 6.235 * [simplify]: Simplifying: (- (log (- (pow x 4) (pow y 4))) (+ (log (+ x y)) (log (- x y)))) (- (log (- (pow x 4) (pow y 4))) (log (* (+ x y) (- x y)))) (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (exp (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y)))) (/ (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y)))) (* (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (* (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (- (- (pow x 4) (pow y 4))) (- (* (+ x y) (- x y))) (/ (pow x 4) (* (+ x y) (- x y))) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y)) (/ (cbrt (- (pow x 4) (pow y 4))) (- x y)) (/ (sqrt (- (pow x 4) (pow y 4))) (+ x y)) (/ (sqrt (- (pow x 4) (pow y 4))) (- x y)) (/ 1 (+ x y)) (/ (- (pow x 4) (pow y 4)) (- x y)) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 4)) (+ x y)) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 4)) (- x y)) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 4))) (+ x y)) (/ (- (pow (sqrt x) 4) (sqrt (pow y 4))) (- x y)) (/ (+ (pow (sqrt x) 4) (pow y (/ 4 2))) (+ x y)) (/ (- (pow (sqrt x) 4) (pow y (/ 4 2))) (- x y)) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 4)) (+ x y)) (/ (- (sqrt (pow x 4)) (pow (sqrt y) 4)) (- x y)) (/ (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (+ x y)) (/ (- (sqrt (pow x 4)) (sqrt (pow y 4))) (- x y)) (/ (+ (sqrt (pow x 4)) (pow y (/ 4 2))) (+ x y)) (/ (- (sqrt (pow x 4)) (pow y (/ 4 2))) (- x y)) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ x y)) (/ (- (pow x (/ 4 2)) (pow (sqrt y) 4)) (- x y)) (/ (+ (pow x (/ 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(- x y)) (- (pow x (/ 4 2)) (sqrt (pow y 4)))) (/ (* (+ x y) (- x y)) (- (pow x (/ 4 2)) (pow y (/ 4 2)))) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3)))) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3)))) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y))) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- x y))) (* (* (+ x y) (- x y)) (+ (* (pow x 4) (pow x 4)) (+ (* (pow y 4) (pow y 4)) (* (pow x 4) (pow y 4))))) (* (* (+ x y) (- x y)) (+ (pow x 4) (pow y 4))) (- (+ (log (- x y)) (log (+ x y))) (- (log (- (pow x 4) (pow y 4))) (+ (log (+ x y)) (log (- 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(/ (+ x y) (/ (- (sqrt (pow x 4)) (pow y (/ 4 2))) (- x y))) (/ (- x y) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ x y))) (/ (+ x y) (/ (- (pow x (/ 4 2)) (pow (sqrt y) 4)) (- x y))) (/ (- x y) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (+ x y))) (/ (+ x y) (/ (- (pow x (/ 4 2)) (sqrt (pow y 4))) (- x y))) (/ (- x y) (/ (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (+ x y))) (/ (+ x y) (/ (- (pow x (/ 4 2)) (pow y (/ 4 2))) (- x y))) (/ (- x y) (/ (pow 1 4) (+ x y))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (/ (- x y) (/ 1 (+ x y))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (/ (- x y) 1) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (- x y) (- (pow x 4) (pow y 4))) (/ (+ x y) (/ 1 (* (+ x y) (- x y)))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))) (/ (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y))))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ x y))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))) (/ (+ x y) (* (- x y) (+ (* x x) (+ (* y y) (* x y))))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ (+ x y) (* (- x y) (+ x y))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3))))) (/ (+ x y) (+ (* x x) (+ (* y y) (* x y)))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (* x x) (* y y))))) (/ (+ x y) (+ x y)) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y)))) (/ (+ x y) (+ (* x x) (- (* y y) (* x y)))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- x y)))) (/ (+ x y) (- x y)) (/ 1 (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))))) (/ (* (- x y) (+ x y)) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))))) (/ (* (- x y) (+ x y)) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (sqrt (- (pow x 4) (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 4)) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow (sqrt x) 4) (pow y (/ 4 2))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 4)) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (sqrt (pow x 4)) (pow y (/ 4 2))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (pow 1 4) (+ x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ x y))) (/ (* (- x y) (+ x y)) 1) (/ (* (- x y) (+ x y)) (- (pow x 4) (pow y 4))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y)))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- x y)))) (/ (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ x y)) (/ (* (- x y) (+ x y)) (- (pow x 4) (pow y 4))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (* x x) (- (* y y) (* x y)))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (- x y)) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ x y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) -1 1 1 6.240 * * [simplify]: Extracting # 0 : cost 0 6.240 * * [simplify]: Extracting # 1 : cost 0 6.240 * * [simplify]: Extracting # 2 : cost 0 6.241 * * [simplify]: Extracting # 3 : cost 0 6.241 * * [simplify]: Extracting # 4 : cost 0 6.241 * * [simplify]: Extracting # 5 : cost 0 6.242 * * [simplify]: Extracting # 6 : cost 0 6.242 * * [simplify]: Extracting # 7 : cost 0 6.242 * * [simplify]: Extracting # 8 : cost 0 6.243 * * [simplify]: Extracting # 9 : cost 0 6.243 * * [simplify]: iteration 0 : 271 enodes (cost 3864 ) 6.349 * * [simplify]: Extracting # 0 : cost 0 6.351 * * [simplify]: Extracting # 1 : cost 0 6.352 * * [simplify]: Extracting # 2 : cost 0 6.354 * * [simplify]: Extracting # 3 : cost 0 6.355 * * [simplify]: Extracting # 4 : cost 0 6.356 * * [simplify]: Extracting # 5 : cost 0 6.357 * * [simplify]: iteration 1 : 848 enodes (cost 3714 ) 6.987 * * [simplify]: Extracting # 0 : cost 0 6.993 * * [simplify]: Extracting # 1 : cost 0 6.999 * * [simplify]: Extracting # 2 : cost 0 7.005 * * [simplify]: Extracting # 3 : cost 0 7.013 * * [simplify]: Extracting # 4 : cost 0 7.026 * * [simplify]: iteration 2 : 4789 enodes (cost 3220 ) 9.240 * * [simplify]: Extracting # 0 : cost 0 9.247 * * [simplify]: Extracting # 1 : cost 0 9.252 * * [simplify]: Extracting # 2 : cost 0 9.257 * * [simplify]: Extracting # 3 : cost 0 9.263 * * [simplify]: iteration done: 5000 enodes (cost 3148 ) 9.265 * [simplify]: Simplified to: (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (exp (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (pow (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 3) (pow (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 3) (* (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (pow (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 3) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (- (- (pow x 4) (pow y 4))) (- (* (+ x y) (- x y))) (/ (pow x 4) (* (+ x y) (- x y))) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y)) (/ 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x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y)))) (/ 1 (+ (pow x 2) (* y (- y x)))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))) (/ (/ (+ x y) (- x y)) (+ (pow x 2) (* y (+ x y)))) (/ (* (* (+ x y) (+ x y)) (pow (- x y) 3)) (- (pow x 4) (pow y 4))) (/ 1 (- x y)) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3))))) (/ (+ x y) (+ (pow x 2) (* y (+ x y)))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) 1 (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y)))) (/ (+ x y) (+ (pow x 2) (* y (- y x)))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- x y)))) (/ (+ x y) (- x y)) (/ 1 (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (* (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))))) (/ (* (- x y) (+ x y)) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))))) (/ (* (- x y) (+ x y)) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (sqrt (- (pow x 4) (pow y 4))) (+ x y))) (* (- x y) (* (+ x y) (+ x y))) (* (+ y x) (/ (- (pow x 2) (* y y)) (+ (pow x 2) (* y y)))) (/ (+ y x) (/ (/ (+ (pow x 2) (sqrt (pow y 4))) (+ x y)) (- x y))) (* (+ y x) (/ (- (pow x 2) (* y y)) (+ (pow x 2) (* y y)))) (/ (- (pow x 2) (* y y)) (/ (+ (sqrt (pow x 4)) (* y y)) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (+ x y))) (/ (- (pow x 2) (* y y)) (/ (+ (sqrt (pow x 4)) (* y y)) (+ x y))) (* (+ y x) (/ (- (pow x 2) (* y y)) (+ (pow x 2) (* y y)))) (/ (+ y x) (/ (/ (+ (pow x 2) (sqrt (pow y 4))) (+ x y)) (- x y))) (* (+ y x) (/ (- (pow x 2) (* y y)) (+ (pow x 2) (* y y)))) (* (- x y) (* (+ x y) (+ x y))) (* (- x y) (* (+ x y) (+ x y))) (* (- x y) (+ y x)) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))) (/ (pow (* (- x y) (+ x y)) 3) (- (pow x 4) (pow y 4))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (* (pow (+ x y) 3) (- x y))) (- (pow x 4) (pow y 4))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y)))) (/ (* (* (+ x y) (+ x y)) (pow (- x y) 3)) (- (pow x 4) (pow y 4))) (/ (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ x y)) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (* (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (pow x 2) (* y (+ x y)))) (+ (pow x 2) (* y (- y x)))) (* (* (- x y) (+ (pow x 2) (* y (+ x y)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (* (+ (pow x 2) (* y (- y x))) (/ (- (pow x 4) (pow y 4)) (- x y))) (* (- x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (pow x 2) (* y (- y x)))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (- x y)) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (pow x 2) (* y (+ x y)))) (/ (- (pow x 4) (pow y 4)) (- x y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) -1 1 1 9.266 * * * [progress]: adding candidates to table 9.705 * * [progress]: iteration 4 / 4 9.706 * * * [progress]: picking best candidate 9.706 * * * * [pick]: Picked # 9.706 * * * [progress]: localizing error 9.707 * * * [progress]: generating rewritten candidates 9.707 * * * [progress]: generating series expansions 9.707 * * * [progress]: simplifying candidates 9.707 * [simplify]: Simplifying: 9.707 * * [simplify]: Extracting # 0 : cost 0 9.707 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 9.707 * * [simplify]: Extracting # 0 : cost 0 9.707 * * [simplify]: iteration done: 0 enodes (cost 0 ) 9.707 * [simplify]: Simplified to: 9.707 * * * [progress]: adding candidates to table 9.707 * [progress]: [Phase 3 of 3] Extracting. 9.707 * * [regime]: Finding splitpoints for: (# # #) 9.708 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.708 * * * * [regimes]: Trying to branch on y from (# # #) 9.767 * * * * [regimes]: Trying to branch on x from (# # #) 9.808 * * * [regime]: Found split indices: #