35.410 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.035 * * [simplify]: iteration 0: 9 enodes 0.039 * * [simplify]: iteration 1: 22 enodes 0.047 * * [simplify]: iteration 2: 46 enodes 0.055 * * [simplify]: iteration 3: 95 enodes 0.083 * * [simplify]: iteration 4: 177 enodes 0.162 * * [simplify]: iteration 5: 339 enodes 0.304 * * [simplify]: iteration 6: 575 enodes 0.552 * * [simplify]: iteration 7: 1519 enodes 2.144 * * [simplify]: iteration complete: 5002 enodes 2.144 * * [simplify]: Extracting #0: cost 1 inf + 0 2.145 * * [simplify]: Extracting #1: cost 286 inf + 0 2.149 * * [simplify]: Extracting #2: cost 1023 inf + 1 2.155 * * [simplify]: Extracting #3: cost 1586 inf + 4035 2.174 * * [simplify]: Extracting #4: cost 952 inf + 73800 2.233 * * [simplify]: Extracting #5: cost 263 inf + 226185 2.324 * * [simplify]: Extracting #6: cost 22 inf + 292710 2.423 * * [simplify]: Extracting #7: cost 0 inf + 300274 2.534 * [simplify]: Simplified to: (- (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) 2.539 * * [progress]: iteration 1 / 4 2.539 * * * [progress]: picking best candidate 2.542 * * * * [pick]: Picked # 2.542 * * * [progress]: localizing error 2.566 * * * [progress]: generating rewritten candidates 2.566 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.609 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 2.623 * * * [progress]: generating series expansions 2.623 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.623 * [backup-simplify]: Simplify (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) into (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) 2.623 * [approximate]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in (y x) around 0 2.623 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in x 2.623 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 2.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.623 * [taylor]: Taking taylor expansion of y in x 2.623 * [backup-simplify]: Simplify y into y 2.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.623 * [taylor]: Taking taylor expansion of y in x 2.623 * [backup-simplify]: Simplify y into y 2.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.623 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.624 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.624 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.624 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.624 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in y 2.624 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.624 * [taylor]: Taking taylor expansion of y in y 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.624 * [taylor]: Taking taylor expansion of x in y 2.624 * [backup-simplify]: Simplify x into x 2.624 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.624 * [taylor]: Taking taylor expansion of y in y 2.625 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify 1 into 1 2.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.625 * [taylor]: Taking taylor expansion of x in y 2.625 * [backup-simplify]: Simplify x into x 2.625 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.625 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 2.625 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 2.625 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.625 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.625 * [backup-simplify]: Simplify (/ (- (pow x 2)) (pow x 2)) into -1 2.625 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in y 2.625 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.626 * [taylor]: Taking taylor expansion of y in y 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.626 * [taylor]: Taking taylor expansion of x in y 2.626 * [backup-simplify]: Simplify x into x 2.626 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.626 * [taylor]: Taking taylor expansion of y in y 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.626 * [taylor]: Taking taylor expansion of x in y 2.626 * [backup-simplify]: Simplify x into x 2.626 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.626 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 2.626 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 2.626 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.626 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.627 * [backup-simplify]: Simplify (/ (- (pow x 2)) (pow x 2)) into -1 2.627 * [taylor]: Taking taylor expansion of -1 in x 2.627 * [backup-simplify]: Simplify -1 into -1 2.627 * [backup-simplify]: Simplify -1 into -1 2.627 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.628 * [backup-simplify]: Simplify (- 0) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.629 * [backup-simplify]: Simplify (+ 0 0) into 0 2.629 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* -1 (/ 0 (pow x 2))))) into 0 2.629 * [taylor]: Taking taylor expansion of 0 in x 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (* 1 1) into 1 2.630 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.630 * [backup-simplify]: Simplify (- 0) into 0 2.631 * [backup-simplify]: Simplify (+ 1 0) into 1 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.632 * [backup-simplify]: Simplify (+ 1 0) into 1 2.633 * [backup-simplify]: Simplify (- (/ 1 (pow x 2)) (+ (* -1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (* 2 (/ 1 (pow x 2))) 2.633 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.633 * [taylor]: Taking taylor expansion of 2 in x 2.633 * [backup-simplify]: Simplify 2 into 2 2.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.633 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.633 * [taylor]: Taking taylor expansion of x in x 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [backup-simplify]: Simplify (* 1 1) into 1 2.634 * [backup-simplify]: Simplify (/ 1 1) into 1 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.639 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.640 * [backup-simplify]: Simplify (- 0) into 0 2.640 * [backup-simplify]: Simplify (+ 0 0) into 0 2.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.641 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.642 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* -1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (* 2 (/ 1 (pow x 2))) (/ 0 (pow x 2))))) into 0 2.642 * [taylor]: Taking taylor expansion of 0 in x 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify -1 into -1 2.643 * [backup-simplify]: Simplify (/ (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2.643 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 2.643 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.643 * [taylor]: Taking taylor expansion of y in x 2.643 * [backup-simplify]: Simplify y into y 2.643 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.643 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* 1 1) into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.644 * [taylor]: Taking taylor expansion of y in x 2.644 * [backup-simplify]: Simplify y into y 2.645 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.645 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 1 into 1 2.645 * [backup-simplify]: Simplify (* 1 1) into 1 2.646 * [backup-simplify]: Simplify (/ 1 1) into 1 2.646 * [backup-simplify]: Simplify (- 1) into -1 2.646 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.647 * [backup-simplify]: Simplify (+ 0 1) into 1 2.647 * [backup-simplify]: Simplify (/ -1 1) into -1 2.647 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.647 * [taylor]: Taking taylor expansion of y in y 2.647 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (* 1 1) into 1 2.648 * [backup-simplify]: Simplify (/ 1 1) into 1 2.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.648 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.648 * [taylor]: Taking taylor expansion of x in y 2.648 * [backup-simplify]: Simplify x into x 2.648 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.649 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.649 * [taylor]: Taking taylor expansion of y in y 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (* 1 1) into 1 2.650 * [backup-simplify]: Simplify (/ 1 1) into 1 2.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.650 * [taylor]: Taking taylor expansion of x in y 2.650 * [backup-simplify]: Simplify x into x 2.650 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.650 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.650 * [backup-simplify]: Simplify (+ 1 0) into 1 2.651 * [backup-simplify]: Simplify (+ 1 0) into 1 2.651 * [backup-simplify]: Simplify (/ 1 1) into 1 2.651 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.651 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.651 * [taylor]: Taking taylor expansion of y in y 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* 1 1) into 1 2.652 * [backup-simplify]: Simplify (/ 1 1) into 1 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.652 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.652 * [taylor]: Taking taylor expansion of x in y 2.652 * [backup-simplify]: Simplify x into x 2.652 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.653 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.653 * [taylor]: Taking taylor expansion of y in y 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (/ 1 1) into 1 2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.654 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.654 * [taylor]: Taking taylor expansion of x in y 2.654 * [backup-simplify]: Simplify x into x 2.654 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.654 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.654 * [backup-simplify]: Simplify (+ 1 0) into 1 2.655 * [backup-simplify]: Simplify (+ 1 0) into 1 2.655 * [backup-simplify]: Simplify (/ 1 1) into 1 2.655 * [taylor]: Taking taylor expansion of 1 in x 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (+ 0 0) into 0 2.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.659 * [taylor]: Taking taylor expansion of 0 in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.662 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.665 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2)))) 2.665 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 2.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.665 * [taylor]: Taking taylor expansion of 2 in x 2.665 * [backup-simplify]: Simplify 2 into 2 2.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (* 1 1) into 1 2.666 * [backup-simplify]: Simplify (/ 1 1) into 1 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.671 * [backup-simplify]: Simplify (- 0) into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.674 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.674 * [backup-simplify]: Simplify (- 0) into 0 2.675 * [backup-simplify]: Simplify (+ 0 0) into 0 2.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.678 * [backup-simplify]: Simplify (+ 0 0) into 0 2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0 2.679 * [taylor]: Taking taylor expansion of 0 in x 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2.680 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 2.680 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.680 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.680 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.680 * [taylor]: Taking taylor expansion of y in x 2.680 * [backup-simplify]: Simplify y into y 2.680 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.680 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.681 * [taylor]: Taking taylor expansion of x in x 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (* 1 1) into 1 2.681 * [backup-simplify]: Simplify (/ 1 1) into 1 2.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.682 * [taylor]: Taking taylor expansion of y in x 2.682 * [backup-simplify]: Simplify y into y 2.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.682 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.682 * [taylor]: Taking taylor expansion of x in x 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [backup-simplify]: Simplify (* 1 1) into 1 2.683 * [backup-simplify]: Simplify (/ 1 1) into 1 2.683 * [backup-simplify]: Simplify (- 1) into -1 2.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.684 * [backup-simplify]: Simplify (+ 0 1) into 1 2.684 * [backup-simplify]: Simplify (/ -1 1) into -1 2.684 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.684 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.685 * [taylor]: Taking taylor expansion of y in y 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (* 1 1) into 1 2.685 * [backup-simplify]: Simplify (/ 1 1) into 1 2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.685 * [taylor]: Taking taylor expansion of x in y 2.685 * [backup-simplify]: Simplify x into x 2.686 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.686 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.686 * [taylor]: Taking taylor expansion of y in y 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (* 1 1) into 1 2.687 * [backup-simplify]: Simplify (/ 1 1) into 1 2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.687 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.687 * [taylor]: Taking taylor expansion of x in y 2.687 * [backup-simplify]: Simplify x into x 2.687 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.687 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.687 * [backup-simplify]: Simplify (+ 1 0) into 1 2.688 * [backup-simplify]: Simplify (+ 1 0) into 1 2.688 * [backup-simplify]: Simplify (/ 1 1) into 1 2.688 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.688 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.688 * [taylor]: Taking taylor expansion of y in y 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.689 * [backup-simplify]: Simplify (* 1 1) into 1 2.689 * [backup-simplify]: Simplify (/ 1 1) into 1 2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.689 * [taylor]: Taking taylor expansion of x in y 2.689 * [backup-simplify]: Simplify x into x 2.689 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.690 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.690 * [taylor]: Taking taylor expansion of y in y 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (* 1 1) into 1 2.690 * [backup-simplify]: Simplify (/ 1 1) into 1 2.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.691 * [taylor]: Taking taylor expansion of x in y 2.691 * [backup-simplify]: Simplify x into x 2.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.691 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.691 * [backup-simplify]: Simplify (+ 1 0) into 1 2.692 * [backup-simplify]: Simplify (+ 1 0) into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [taylor]: Taking taylor expansion of 1 in x 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.697 * [taylor]: Taking taylor expansion of 0 in x 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.699 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.703 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2)))) 2.703 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 2.703 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.703 * [taylor]: Taking taylor expansion of 2 in x 2.703 * [backup-simplify]: Simplify 2 into 2 2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (* 1 1) into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.708 * [backup-simplify]: Simplify (- 0) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.711 * [backup-simplify]: Simplify (- 0) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.718 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0 2.720 * [taylor]: Taking taylor expansion of 0 in x 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 2.721 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 2.721 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 2.721 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.721 * [taylor]: Taking taylor expansion of y in y 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.721 * [taylor]: Taking taylor expansion of x in y 2.721 * [backup-simplify]: Simplify x into x 2.721 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.721 * [taylor]: Taking taylor expansion of y in x 2.721 * [backup-simplify]: Simplify y into y 2.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.721 * [taylor]: Taking taylor expansion of y in x 2.721 * [backup-simplify]: Simplify y into y 2.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.722 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.722 * [taylor]: Taking taylor expansion of y in y 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.722 * [backup-simplify]: Simplify (+ 0 0) into 0 2.722 * [taylor]: Taking taylor expansion of 0 in y 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.723 * [backup-simplify]: Simplify (* 1 1) into 1 2.724 * [backup-simplify]: Simplify (+ 0 1) into 1 2.724 * [taylor]: Taking taylor expansion of 1 in y 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (* 1 1) into 1 2.724 * [backup-simplify]: Simplify 1 into 1 2.725 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.726 * [backup-simplify]: Simplify (+ 0 0) into 0 2.726 * [taylor]: Taking taylor expansion of 0 in y 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.729 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [taylor]: Taking taylor expansion of 0 in y 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 2.730 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.730 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.730 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.730 * [taylor]: Taking taylor expansion of y in y 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.731 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.731 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.731 * [taylor]: Taking taylor expansion of x in y 2.731 * [backup-simplify]: Simplify x into x 2.731 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.731 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.732 * [taylor]: Taking taylor expansion of y in x 2.732 * [backup-simplify]: Simplify y into y 2.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.732 * [taylor]: Taking taylor expansion of x in x 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.733 * [taylor]: Taking taylor expansion of y in x 2.733 * [backup-simplify]: Simplify y into y 2.733 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.733 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (* 1 1) into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [backup-simplify]: Simplify (+ 0 1) into 1 2.735 * [taylor]: Taking taylor expansion of 1 in y 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [taylor]: Taking taylor expansion of 0 in y 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.739 * [taylor]: Taking taylor expansion of y in y 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 1 1) into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [taylor]: Taking taylor expansion of 0 in y 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [taylor]: Taking taylor expansion of 0 in y 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.750 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.750 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.750 * [taylor]: Taking taylor expansion of y in y 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (* 1 1) into 1 2.751 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.751 * [taylor]: Taking taylor expansion of x in y 2.751 * [backup-simplify]: Simplify x into x 2.751 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.751 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.751 * [taylor]: Taking taylor expansion of y in x 2.751 * [backup-simplify]: Simplify y into y 2.751 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.751 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.752 * [taylor]: Taking taylor expansion of x in x 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.752 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.752 * [taylor]: Taking taylor expansion of y in x 2.752 * [backup-simplify]: Simplify y into y 2.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.753 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [backup-simplify]: Simplify (+ 0 1) into 1 2.754 * [taylor]: Taking taylor expansion of 1 in y 2.754 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [taylor]: Taking taylor expansion of 0 in y 2.756 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.758 * [taylor]: Taking taylor expansion of y in y 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.759 * [backup-simplify]: Simplify (/ 1 1) into 1 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [taylor]: Taking taylor expansion of 0 in y 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [taylor]: Taking taylor expansion of 0 in y 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.769 * * * [progress]: simplifying candidates 2.770 * [simplify]: Simplifying: (- (log (- (* y y) (* x x))) (log (+ (* x x) (* y y)))) (log (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (exp (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (/ (* (* (- (* y y) (* x x)) (- (* y y) (* x x))) (- (* y y) (* x x))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y))))) (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (* (* (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (- (- (* y y) (* x x))) (- (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (- (* y y) (* x x))) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) 1) (/ (cbrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ (sqrt (- (* y y) (* x x))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (- (* y y) (* x x))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (- (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (- (* y y) (* x x))) 1) (/ (sqrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (* y y) (* x x)) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (- (* y y) (* x x)) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) (/ (+ y x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- y x) (cbrt (+ (* x x) (* y y)))) (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (/ (- y x) (sqrt (+ (* x x) (* y y)))) (/ (+ y x) 1) (/ (- y x) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- (* y y) (* x x))) (/ (- (* y y) (* x x)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- (* y y) (* x x)) (sqrt (+ (* x x) (* y y)))) (/ (- (* y y) (* x x)) 1) (/ (+ (* x x) (* y y)) (cbrt (- (* y y) (* x x)))) (/ (+ (* x x) (* y y)) (sqrt (- (* y y) (* x x)))) (/ (+ (* x x) (* y y)) (- (* y y) (* x x))) (/ (+ (* x x) (* y y)) (- y x)) (/ (- (* y y) (* x x)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (- (* y y) (* x x)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (+ (* (* y y) (* y y)) (+ (* (* x x) (* x x)) (* (* y y) (* x x))))) (* (+ (* x x) (* y y)) (+ (* y y) (* x x))) (* (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 y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 2.773 * * [simplify]: iteration 0: 92 enodes 2.812 * * [simplify]: iteration 1: 267 enodes 2.940 * * [simplify]: iteration 2: 897 enodes 3.632 * * [simplify]: iteration complete: 5000 enodes 3.632 * * [simplify]: Extracting #0: cost 55 inf + 0 3.634 * * [simplify]: Extracting #1: cost 511 inf + 2 3.642 * * [simplify]: Extracting #2: cost 1813 inf + 1086 3.681 * * [simplify]: Extracting #3: cost 1318 inf + 110552 3.779 * * [simplify]: Extracting #4: cost 259 inf + 346149 3.921 * * [simplify]: Extracting #5: cost 24 inf + 415267 4.013 * * [simplify]: Extracting #6: cost 0 inf + 422818 4.132 * [simplify]: Simplified to: (log (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (log (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (exp (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (* (* (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (* (cbrt (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (cbrt (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))) (cbrt (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (* (* (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (sqrt (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (sqrt (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (* (- x y) (+ y x)) (- (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))) (* (/ (cbrt (* (- y x) (+ y x))) (cbrt (+ (* x x) (* y y)))) (/ (cbrt (* (- y x) (+ y x))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (* (- y x) (+ y x))) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (* (- y x) (+ y x))) (cbrt (* (- y x) (+ y x)))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (* (- y x) (+ y x))) (sqrt (+ (* x x) (* y y)))) (* (cbrt (* (- y x) (+ y x))) (cbrt (* (- y x) (+ y x)))) (/ (cbrt (* (- y x) (+ y x))) (+ (* x x) (* y y))) (/ (/ (sqrt (* (- y x) (+ y x))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (* (- y x) (+ y x))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (* (- y x) (+ y x))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (* (- y x) (+ y x))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (- y x) (+ y x))) (/ (sqrt (* (- y x) (+ y x))) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (- (/ (* y y) (cbrt (+ (* x x) (* y y)))) (/ (* x x) (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (+ (* x x) (* y y)))) (- (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* x x) (sqrt (+ (* x x) (* y y))))) 1 (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (+ y x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- y x) (cbrt (+ (* x x) (* y y)))) (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (/ (- y x) (sqrt (+ (* x x) (* y y)))) (+ y x) (/ (- y x) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- y x) (+ y x))) (/ (- (/ (* y y) (cbrt (+ (* x x) (* y y)))) (/ (* x x) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y)))) (- (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* x x) (sqrt (+ (* x x) (* y y))))) (* (- y x) (+ y x)) (/ (+ (* x x) (* y y)) (cbrt (* (- y x) (+ y x)))) (/ (+ (* x x) (* y y)) (sqrt (* (- y x) (+ y x)))) (/ (+ (* x x) (* y y)) (* (- y x) (+ y x))) (/ (+ (* x x) (* y y)) (- y x)) (- (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))) (- (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (+ (* (* (* y y) (* y y)) (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* x x))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (exp (+ (* y y) (* x x))) (log (+ (* x x) (* y y))) (exp (+ (* y y) (* x x))) (* (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))) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (- x y) (+ y x)) -1 1 1 (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 4.136 * * * [progress]: adding candidates to table 4.405 * * [progress]: iteration 2 / 4 4.405 * * * [progress]: picking best candidate 4.423 * * * * [pick]: Picked # 4.423 * * * [progress]: localizing error 4.449 * * * [progress]: generating rewritten candidates 4.449 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 4.478 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.506 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 4.519 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 4.529 * * * [progress]: generating series expansions 4.529 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 4.529 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 4.529 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 4.529 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 4.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.529 * [taylor]: Taking taylor expansion of y in x 4.529 * [backup-simplify]: Simplify y into y 4.529 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.529 * [taylor]: Taking taylor expansion of y in x 4.529 * [backup-simplify]: Simplify y into y 4.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.529 * [taylor]: Taking taylor expansion of x in x 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify 1 into 1 4.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.530 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.530 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 4.530 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 4.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.530 * [taylor]: Taking taylor expansion of y in y 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify 1 into 1 4.530 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.530 * [taylor]: Taking taylor expansion of y in y 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify 1 into 1 4.530 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.530 * [taylor]: Taking taylor expansion of x in y 4.530 * [backup-simplify]: Simplify x into x 4.531 * [backup-simplify]: Simplify (* 1 1) into 1 4.531 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.531 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.531 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.531 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 4.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.531 * [taylor]: Taking taylor expansion of y in y 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.531 * [taylor]: Taking taylor expansion of y in y 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.531 * [taylor]: Taking taylor expansion of x in y 4.531 * [backup-simplify]: Simplify x into x 4.531 * [backup-simplify]: Simplify (* 1 1) into 1 4.531 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.531 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.532 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.532 * [taylor]: Taking taylor expansion of x in x 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify 1 into 1 4.532 * [backup-simplify]: Simplify (* 1 1) into 1 4.532 * [backup-simplify]: Simplify (/ 1 1) into 1 4.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.535 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.535 * [backup-simplify]: Simplify (+ 0 0) into 0 4.536 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.536 * [taylor]: Taking taylor expansion of 0 in x 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.538 * [backup-simplify]: Simplify (* 1 1) into 1 4.538 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.538 * [backup-simplify]: Simplify (+ 1 0) into 1 4.538 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 4.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 4.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.539 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.539 * [taylor]: Taking taylor expansion of x in x 4.539 * [backup-simplify]: Simplify 0 into 0 4.539 * [backup-simplify]: Simplify 1 into 1 4.539 * [backup-simplify]: Simplify (* 1 1) into 1 4.539 * [backup-simplify]: Simplify (* 1 1) into 1 4.539 * [backup-simplify]: Simplify (/ 1 1) into 1 4.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.546 * [backup-simplify]: Simplify (- 0) into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.546 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.550 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 4.550 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.550 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.550 * [taylor]: Taking taylor expansion of y in x 4.550 * [backup-simplify]: Simplify y into y 4.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.550 * [taylor]: Taking taylor expansion of y in x 4.550 * [backup-simplify]: Simplify y into y 4.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.551 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.551 * [taylor]: Taking taylor expansion of x in x 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 1 into 1 4.551 * [backup-simplify]: Simplify (* 1 1) into 1 4.551 * [backup-simplify]: Simplify (/ 1 1) into 1 4.551 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.551 * [backup-simplify]: Simplify (+ 0 1) into 1 4.552 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.552 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.552 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.552 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.552 * [taylor]: Taking taylor expansion of y in y 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.552 * [taylor]: Taking taylor expansion of y in y 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (* 1 1) into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.552 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.552 * [taylor]: Taking taylor expansion of x in y 4.552 * [backup-simplify]: Simplify x into x 4.552 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.553 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.553 * [backup-simplify]: Simplify (* 1 1) into 1 4.553 * [backup-simplify]: Simplify (+ 1 0) into 1 4.553 * [backup-simplify]: Simplify (* 1 1) into 1 4.554 * [backup-simplify]: Simplify (/ 1 1) into 1 4.554 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.554 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.554 * [taylor]: Taking taylor expansion of y in y 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify 1 into 1 4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.554 * [taylor]: Taking taylor expansion of y in y 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify 1 into 1 4.554 * [backup-simplify]: Simplify (* 1 1) into 1 4.554 * [backup-simplify]: Simplify (/ 1 1) into 1 4.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.554 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.554 * [taylor]: Taking taylor expansion of x in y 4.554 * [backup-simplify]: Simplify x into x 4.554 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.555 * [backup-simplify]: Simplify (* 1 1) into 1 4.555 * [backup-simplify]: Simplify (+ 1 0) into 1 4.555 * [backup-simplify]: Simplify (* 1 1) into 1 4.555 * [backup-simplify]: Simplify (/ 1 1) into 1 4.556 * [taylor]: Taking taylor expansion of 1 in x 4.556 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (+ 0 0) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.558 * [taylor]: Taking taylor expansion of 0 in x 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.559 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.560 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 4.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.561 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.561 * [taylor]: Taking taylor expansion of x in x 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [backup-simplify]: Simplify (* 1 1) into 1 4.561 * [backup-simplify]: Simplify (/ 1 1) into 1 4.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.566 * [backup-simplify]: Simplify (- 0) into 0 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.566 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 4.566 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.566 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.566 * [taylor]: Taking taylor expansion of y in x 4.566 * [backup-simplify]: Simplify y into y 4.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.566 * [taylor]: Taking taylor expansion of y in x 4.566 * [backup-simplify]: Simplify y into y 4.566 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.566 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.567 * [taylor]: Taking taylor expansion of x in x 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify 1 into 1 4.567 * [backup-simplify]: Simplify (* 1 1) into 1 4.567 * [backup-simplify]: Simplify (/ 1 1) into 1 4.567 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.567 * [backup-simplify]: Simplify (+ 0 1) into 1 4.568 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.568 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.568 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.568 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.568 * [taylor]: Taking taylor expansion of y in y 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.568 * [taylor]: Taking taylor expansion of y in y 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (* 1 1) into 1 4.568 * [backup-simplify]: Simplify (/ 1 1) into 1 4.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.568 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.568 * [taylor]: Taking taylor expansion of x in y 4.568 * [backup-simplify]: Simplify x into x 4.568 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.568 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.569 * [backup-simplify]: Simplify (* 1 1) into 1 4.569 * [backup-simplify]: Simplify (+ 1 0) into 1 4.569 * [backup-simplify]: Simplify (* 1 1) into 1 4.569 * [backup-simplify]: Simplify (/ 1 1) into 1 4.569 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.569 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.570 * [taylor]: Taking taylor expansion of y in y 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.570 * [taylor]: Taking taylor expansion of y in y 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify (* 1 1) into 1 4.570 * [backup-simplify]: Simplify (/ 1 1) into 1 4.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.570 * [taylor]: Taking taylor expansion of x in y 4.570 * [backup-simplify]: Simplify x into x 4.570 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.570 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.571 * [backup-simplify]: Simplify (* 1 1) into 1 4.571 * [backup-simplify]: Simplify (+ 1 0) into 1 4.571 * [backup-simplify]: Simplify (* 1 1) into 1 4.571 * [backup-simplify]: Simplify (/ 1 1) into 1 4.571 * [taylor]: Taking taylor expansion of 1 in x 4.571 * [backup-simplify]: Simplify 1 into 1 4.571 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ 0 0) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.574 * [taylor]: Taking taylor expansion of 0 in x 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.577 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (* 1 1) into 1 4.577 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.583 * [backup-simplify]: Simplify (- 0) into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.584 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 4.584 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 4.584 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 4.584 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.584 * [taylor]: Taking taylor expansion of x in y 4.584 * [backup-simplify]: Simplify x into x 4.584 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.584 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.584 * [taylor]: Taking taylor expansion of y in y 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.584 * [taylor]: Taking taylor expansion of x in y 4.584 * [backup-simplify]: Simplify x into x 4.585 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.585 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.585 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.585 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.585 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.585 * [taylor]: Taking taylor expansion of x in x 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.585 * [taylor]: Taking taylor expansion of y in x 4.585 * [backup-simplify]: Simplify y into y 4.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.585 * [taylor]: Taking taylor expansion of x in x 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.586 * [backup-simplify]: Simplify (* 1 1) into 1 4.586 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.586 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.586 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.586 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.586 * [taylor]: Taking taylor expansion of y in x 4.586 * [backup-simplify]: Simplify y into y 4.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.587 * [taylor]: Taking taylor expansion of x in x 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (* 1 1) into 1 4.587 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.587 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.587 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.588 * [taylor]: Taking taylor expansion of y in y 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (* 1 1) into 1 4.588 * [backup-simplify]: Simplify (/ 1 1) into 1 4.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.592 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.592 * [backup-simplify]: Simplify (+ 0 0) into 0 4.593 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.593 * [taylor]: Taking taylor expansion of 0 in y 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.595 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (+ 0 1) into 1 4.596 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 4.596 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 4.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.596 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.596 * [taylor]: Taking taylor expansion of y in y 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [backup-simplify]: Simplify (* 1 1) into 1 4.596 * [backup-simplify]: Simplify (* 1 1) into 1 4.596 * [backup-simplify]: Simplify (/ 1 1) into 1 4.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify (- 0) into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.605 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 4.605 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.605 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.605 * [taylor]: Taking taylor expansion of x in y 4.605 * [backup-simplify]: Simplify x into x 4.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.605 * [taylor]: Taking taylor expansion of y in y 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.606 * [backup-simplify]: Simplify (/ 1 1) into 1 4.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.606 * [taylor]: Taking taylor expansion of x in y 4.606 * [backup-simplify]: Simplify x into x 4.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.606 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.606 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.606 * [backup-simplify]: Simplify (+ 1 0) into 1 4.607 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.607 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.607 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.607 * [taylor]: Taking taylor expansion of y in x 4.607 * [backup-simplify]: Simplify y into y 4.607 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.607 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.607 * [taylor]: Taking taylor expansion of x in x 4.607 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (* 1 1) into 1 4.608 * [backup-simplify]: Simplify (/ 1 1) into 1 4.608 * [backup-simplify]: Simplify (* 1 1) into 1 4.608 * [backup-simplify]: Simplify (+ 0 1) into 1 4.608 * [backup-simplify]: Simplify (* 1 1) into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.609 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.609 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.609 * [taylor]: Taking taylor expansion of x in x 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.609 * [taylor]: Taking taylor expansion of y in x 4.609 * [backup-simplify]: Simplify y into y 4.609 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.609 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.609 * [taylor]: Taking taylor expansion of x in x 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (* 1 1) into 1 4.609 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [backup-simplify]: Simplify (* 1 1) into 1 4.610 * [backup-simplify]: Simplify (+ 0 1) into 1 4.610 * [backup-simplify]: Simplify (* 1 1) into 1 4.610 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [taylor]: Taking taylor expansion of 1 in y 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.613 * [taylor]: Taking taylor expansion of 0 in y 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.615 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.616 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.616 * [taylor]: Taking taylor expansion of y in y 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.616 * [backup-simplify]: Simplify (* 1 1) into 1 4.616 * [backup-simplify]: Simplify (/ 1 1) into 1 4.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (- 0) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.621 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 4.621 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.621 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.621 * [taylor]: Taking taylor expansion of x in y 4.621 * [backup-simplify]: Simplify x into x 4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.621 * [taylor]: Taking taylor expansion of y in y 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [backup-simplify]: Simplify (* 1 1) into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.622 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.622 * [taylor]: Taking taylor expansion of x in y 4.622 * [backup-simplify]: Simplify x into x 4.622 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.622 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.622 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.622 * [backup-simplify]: Simplify (+ 1 0) into 1 4.622 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.622 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.622 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.622 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.623 * [taylor]: Taking taylor expansion of x in x 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.623 * [taylor]: Taking taylor expansion of y in x 4.623 * [backup-simplify]: Simplify y into y 4.623 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.623 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.623 * [taylor]: Taking taylor expansion of x in x 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (* 1 1) into 1 4.623 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (+ 0 1) into 1 4.624 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.624 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.624 * [taylor]: Taking taylor expansion of y in x 4.624 * [backup-simplify]: Simplify y into y 4.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.625 * [taylor]: Taking taylor expansion of x in x 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (* 1 1) into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [backup-simplify]: Simplify (* 1 1) into 1 4.626 * [backup-simplify]: Simplify (+ 0 1) into 1 4.626 * [backup-simplify]: Simplify (* 1 1) into 1 4.626 * [backup-simplify]: Simplify (/ 1 1) into 1 4.626 * [taylor]: Taking taylor expansion of 1 in y 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ 0 0) into 0 4.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.630 * [taylor]: Taking taylor expansion of 0 in y 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.635 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.635 * [taylor]: Taking taylor expansion of y in y 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 1 into 1 4.635 * [backup-simplify]: Simplify (* 1 1) into 1 4.636 * [backup-simplify]: Simplify (/ 1 1) into 1 4.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- 0) into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 4.644 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 4.644 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 4.644 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.644 * [taylor]: Taking taylor expansion of y in y 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.644 * [taylor]: Taking taylor expansion of x in y 4.645 * [backup-simplify]: Simplify x into x 4.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.645 * [taylor]: Taking taylor expansion of y in x 4.645 * [backup-simplify]: Simplify y into y 4.645 * [taylor]: Taking taylor expansion of (pow x 2) 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 4.645 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.645 * [taylor]: Taking taylor expansion of y in x 4.645 * [backup-simplify]: Simplify y into y 4.645 * [taylor]: Taking taylor expansion of (pow x 2) 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 4.645 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.645 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.645 * [taylor]: Taking taylor expansion of y in y 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.646 * [taylor]: Taking taylor expansion of 0 in y 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.647 * [backup-simplify]: Simplify (* 1 1) into 1 4.648 * [backup-simplify]: Simplify (+ 0 1) into 1 4.648 * [taylor]: Taking taylor expansion of 1 in y 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (* 1 1) into 1 4.648 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.650 * [backup-simplify]: Simplify (+ 0 0) into 0 4.650 * [taylor]: Taking taylor expansion of 0 in y 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.651 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) 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 4.655 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 4.655 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.655 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.655 * [taylor]: Taking taylor expansion of y in y 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.658 * [backup-simplify]: Simplify (* 1 1) into 1 4.659 * [backup-simplify]: Simplify (/ 1 1) into 1 4.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.659 * [taylor]: Taking taylor expansion of x in y 4.659 * [backup-simplify]: Simplify x into x 4.659 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.659 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.659 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.659 * [taylor]: Taking taylor expansion of y in x 4.659 * [backup-simplify]: Simplify y into y 4.659 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.659 * [taylor]: Taking taylor expansion of x in x 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (* 1 1) into 1 4.660 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.660 * [taylor]: Taking taylor expansion of y in x 4.660 * [backup-simplify]: Simplify y into y 4.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.660 * [taylor]: Taking taylor expansion of x in x 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (* 1 1) into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.661 * [backup-simplify]: Simplify (+ 0 1) into 1 4.661 * [taylor]: Taking taylor expansion of 1 in y 4.661 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ 0 0) into 0 4.662 * [taylor]: Taking taylor expansion of 0 in y 4.662 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.664 * [taylor]: Taking taylor expansion of y in y 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify (* 1 1) into 1 4.664 * [backup-simplify]: Simplify (/ 1 1) into 1 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [taylor]: Taking taylor expansion of 0 in y 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [taylor]: Taking taylor expansion of 0 in y 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.670 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.670 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.670 * [taylor]: Taking taylor expansion of y in y 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (* 1 1) into 1 4.671 * [backup-simplify]: Simplify (/ 1 1) into 1 4.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.671 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.671 * [taylor]: Taking taylor expansion of x in y 4.671 * [backup-simplify]: Simplify x into x 4.671 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.671 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.671 * [taylor]: Taking taylor expansion of y in x 4.671 * [backup-simplify]: Simplify y into y 4.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.671 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.671 * [taylor]: Taking taylor expansion of x in x 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (* 1 1) into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.672 * [taylor]: Taking taylor expansion of y in x 4.672 * [backup-simplify]: Simplify y into y 4.672 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.672 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.672 * [taylor]: Taking taylor expansion of x in x 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (* 1 1) into 1 4.673 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [backup-simplify]: Simplify (+ 0 1) into 1 4.673 * [taylor]: Taking taylor expansion of 1 in y 4.673 * [backup-simplify]: Simplify 1 into 1 4.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.674 * [taylor]: Taking taylor expansion of 0 in y 4.674 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.675 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.675 * [taylor]: Taking taylor expansion of y in y 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (* 1 1) into 1 4.676 * [backup-simplify]: Simplify (/ 1 1) into 1 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.678 * [taylor]: Taking taylor expansion of 0 in y 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [taylor]: Taking taylor expansion of 0 in y 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.682 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 4.682 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 4.682 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 4.682 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.682 * [taylor]: Taking taylor expansion of y in y 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.682 * [taylor]: Taking taylor expansion of x in y 4.682 * [backup-simplify]: Simplify x into x 4.683 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.683 * [taylor]: Taking taylor expansion of y in x 4.683 * [backup-simplify]: Simplify y into y 4.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.683 * [taylor]: Taking taylor expansion of x in x 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.683 * [taylor]: Taking taylor expansion of y in x 4.683 * [backup-simplify]: Simplify y into y 4.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.683 * [taylor]: Taking taylor expansion of x in x 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.683 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.683 * [taylor]: Taking taylor expansion of y in y 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.683 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [taylor]: Taking taylor expansion of 0 in y 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.684 * [backup-simplify]: Simplify (* 1 1) into 1 4.684 * [backup-simplify]: Simplify (+ 0 1) into 1 4.684 * [taylor]: Taking taylor expansion of 1 in y 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (* 1 1) into 1 4.685 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.686 * [backup-simplify]: Simplify (+ 0 0) into 0 4.686 * [taylor]: Taking taylor expansion of 0 in y 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [taylor]: Taking taylor expansion of 0 in y 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 4.688 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.688 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.688 * [taylor]: Taking taylor expansion of y in y 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (* 1 1) into 1 4.689 * [backup-simplify]: Simplify (/ 1 1) into 1 4.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.689 * [taylor]: Taking taylor expansion of x in y 4.689 * [backup-simplify]: Simplify x into x 4.689 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.689 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.689 * [taylor]: Taking taylor expansion of y in x 4.689 * [backup-simplify]: Simplify y into y 4.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.689 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.689 * [taylor]: Taking taylor expansion of x in x 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.690 * [backup-simplify]: Simplify (* 1 1) into 1 4.690 * [backup-simplify]: Simplify (/ 1 1) into 1 4.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.690 * [taylor]: Taking taylor expansion of y in x 4.690 * [backup-simplify]: Simplify y into y 4.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.690 * [taylor]: Taking taylor expansion of x in x 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 1 into 1 4.690 * [backup-simplify]: Simplify (* 1 1) into 1 4.691 * [backup-simplify]: Simplify (/ 1 1) into 1 4.691 * [backup-simplify]: Simplify (+ 0 1) into 1 4.691 * [taylor]: Taking taylor expansion of 1 in y 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ 0 0) into 0 4.692 * [taylor]: Taking taylor expansion of 0 in y 4.692 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.695 * [taylor]: Taking taylor expansion of y in y 4.695 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (* 1 1) into 1 4.695 * [backup-simplify]: Simplify (/ 1 1) into 1 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [taylor]: Taking taylor expansion of 0 in y 4.698 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.703 * [taylor]: Taking taylor expansion of 0 in y 4.703 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.706 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.706 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.706 * [taylor]: Taking taylor expansion of y in y 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (* 1 1) into 1 4.707 * [backup-simplify]: Simplify (/ 1 1) into 1 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.707 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.707 * [taylor]: Taking taylor expansion of x in y 4.707 * [backup-simplify]: Simplify x into x 4.707 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.707 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.707 * [taylor]: Taking taylor expansion of y in x 4.707 * [backup-simplify]: Simplify y into y 4.707 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.707 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.707 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (/ 1 1) into 1 4.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 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 (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.709 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.709 * [taylor]: Taking taylor expansion of x in x 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (* 1 1) into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [backup-simplify]: Simplify (+ 0 1) 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 0) (* 0 1)) into 0 4.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.713 * [taylor]: Taking taylor expansion of y in y 4.713 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (* 1 1) into 1 4.714 * [backup-simplify]: Simplify (/ 1 1) into 1 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [taylor]: Taking taylor expansion of 0 in y 4.717 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (+ 0 0) into 0 4.722 * [taylor]: Taking taylor expansion of 0 in y 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.725 * * * [progress]: simplifying candidates 4.727 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* y y) 1) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* y y)))) (- (log (* x x)) (log (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* x x) (+ (* x x) (* y y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x 1) (/ x (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* x x) 1) (/ (+ (* x x) (* y y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y 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)) (* (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)) 0 0 0 0 0 0 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 4.729 * * [simplify]: iteration 0: 96 enodes 4.773 * * [simplify]: iteration 1: 336 enodes 4.993 * * [simplify]: iteration 2: 1497 enodes 5.578 * * [simplify]: iteration complete: 5022 enodes 5.578 * * [simplify]: Extracting #0: cost 53 inf + 0 5.579 * * [simplify]: Extracting #1: cost 918 inf + 44 5.585 * * [simplify]: Extracting #2: cost 1679 inf + 6167 5.600 * * [simplify]: Extracting #3: cost 1467 inf + 77532 5.659 * * [simplify]: Extracting #4: cost 386 inf + 288983 5.734 * * [simplify]: Extracting #5: cost 59 inf + 365141 5.859 * * [simplify]: Extracting #6: cost 8 inf + 374012 5.961 * * [simplify]: Extracting #7: cost 0 inf + 376355 6.082 * [simplify]: Simplified to: (log (/ (* y y) (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) y (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (* (/ y (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (* y y) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) x (/ x (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* x x)) (/ (/ (* x x) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (* x x) (/ (+ (* x x) (* y y)) x) (/ (* x x) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (+ x 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))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (+ x y) (- x y)) 0 0 0 0 0 0 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 6.088 * * * [progress]: adding candidates to table 6.476 * * [progress]: iteration 3 / 4 6.477 * * * [progress]: picking best candidate 6.486 * * * * [pick]: Picked # 6.486 * * * [progress]: localizing error 6.526 * * * [progress]: generating rewritten candidates 6.526 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 6.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 6.563 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 6.592 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 6.608 * * * [progress]: generating series expansions 6.609 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 6.609 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 6.609 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 6.609 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.609 * [taylor]: Taking taylor expansion of y in x 6.609 * [backup-simplify]: Simplify y into y 6.609 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.609 * [taylor]: Taking taylor expansion of y in x 6.609 * [backup-simplify]: Simplify y into y 6.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.609 * [taylor]: Taking taylor expansion of x in x 6.609 * [backup-simplify]: Simplify 0 into 0 6.609 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.609 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.610 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.610 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.610 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.610 * [taylor]: Taking taylor expansion of y in y 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 1 into 1 6.610 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.610 * [taylor]: Taking taylor expansion of y in y 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 1 into 1 6.610 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.610 * [taylor]: Taking taylor expansion of x in y 6.610 * [backup-simplify]: Simplify x into x 6.611 * [backup-simplify]: Simplify (* 1 1) into 1 6.611 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.611 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.611 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.611 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.611 * [taylor]: Taking taylor expansion of y in y 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify 1 into 1 6.611 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.611 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.611 * [taylor]: Taking taylor expansion of y in y 6.612 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify 1 into 1 6.612 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.612 * [taylor]: Taking taylor expansion of x in y 6.612 * [backup-simplify]: Simplify x into x 6.612 * [backup-simplify]: Simplify (* 1 1) into 1 6.612 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.612 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.612 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.613 * [taylor]: Taking taylor expansion of x in x 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [backup-simplify]: Simplify (* 1 1) into 1 6.613 * [backup-simplify]: Simplify (/ 1 1) into 1 6.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.617 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.618 * [backup-simplify]: Simplify (+ 0 0) into 0 6.618 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.618 * [taylor]: Taking taylor expansion of 0 in x 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.620 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.622 * [backup-simplify]: Simplify (* 1 1) into 1 6.622 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.622 * [backup-simplify]: Simplify (+ 1 0) into 1 6.623 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 6.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 6.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.623 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.623 * [taylor]: Taking taylor expansion of x in x 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (* 1 1) into 1 6.624 * [backup-simplify]: Simplify (* 1 1) into 1 6.624 * [backup-simplify]: Simplify (/ 1 1) into 1 6.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.636 * [backup-simplify]: Simplify (- 0) into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.639 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.639 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.639 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.639 * [taylor]: Taking taylor expansion of y in x 6.639 * [backup-simplify]: Simplify y into y 6.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.639 * [taylor]: Taking taylor expansion of y in x 6.639 * [backup-simplify]: Simplify y into y 6.639 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.639 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.639 * [taylor]: Taking taylor expansion of x in x 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 1 into 1 6.640 * [backup-simplify]: Simplify (* 1 1) into 1 6.640 * [backup-simplify]: Simplify (/ 1 1) into 1 6.640 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.640 * [backup-simplify]: Simplify (+ 0 1) into 1 6.640 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.640 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.640 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.640 * [taylor]: Taking taylor expansion of y in y 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.641 * [taylor]: Taking taylor expansion of y in y 6.641 * [backup-simplify]: Simplify 0 into 0 6.641 * [backup-simplify]: Simplify 1 into 1 6.641 * [backup-simplify]: Simplify (* 1 1) into 1 6.641 * [backup-simplify]: Simplify (/ 1 1) into 1 6.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.641 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.641 * [taylor]: Taking taylor expansion of x in y 6.641 * [backup-simplify]: Simplify x into x 6.641 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.641 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.641 * [backup-simplify]: Simplify (* 1 1) into 1 6.642 * [backup-simplify]: Simplify (+ 1 0) into 1 6.642 * [backup-simplify]: Simplify (* 1 1) into 1 6.642 * [backup-simplify]: Simplify (/ 1 1) into 1 6.642 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.642 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.642 * [taylor]: Taking taylor expansion of y in y 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.642 * [taylor]: Taking taylor expansion of y in y 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.643 * [backup-simplify]: Simplify (* 1 1) into 1 6.643 * [backup-simplify]: Simplify (/ 1 1) into 1 6.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.643 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.643 * [taylor]: Taking taylor expansion of x in y 6.643 * [backup-simplify]: Simplify x into x 6.643 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.643 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.643 * [backup-simplify]: Simplify (* 1 1) into 1 6.644 * [backup-simplify]: Simplify (+ 1 0) into 1 6.644 * [backup-simplify]: Simplify (* 1 1) into 1 6.644 * [backup-simplify]: Simplify (/ 1 1) into 1 6.644 * [taylor]: Taking taylor expansion of 1 in x 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (+ 0 0) into 0 6.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.647 * [taylor]: Taking taylor expansion of 0 in x 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.649 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.649 * [taylor]: Taking taylor expansion of x in x 6.649 * [backup-simplify]: Simplify 0 into 0 6.649 * [backup-simplify]: Simplify 1 into 1 6.650 * [backup-simplify]: Simplify (* 1 1) into 1 6.650 * [backup-simplify]: Simplify (/ 1 1) into 1 6.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.654 * [backup-simplify]: Simplify (- 0) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.655 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.655 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.655 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.655 * [taylor]: Taking taylor expansion of y in x 6.655 * [backup-simplify]: Simplify y into y 6.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.655 * [taylor]: Taking taylor expansion of y in x 6.655 * [backup-simplify]: Simplify y into y 6.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.655 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.655 * [taylor]: Taking taylor expansion of x in x 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (* 1 1) into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.656 * [backup-simplify]: Simplify (+ 0 1) into 1 6.656 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.656 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.656 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.656 * [taylor]: Taking taylor expansion of y in y 6.656 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.657 * [taylor]: Taking taylor expansion of y in y 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (* 1 1) into 1 6.657 * [backup-simplify]: Simplify (/ 1 1) into 1 6.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.657 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.657 * [taylor]: Taking taylor expansion of x in y 6.657 * [backup-simplify]: Simplify x into x 6.657 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.657 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.659 * [backup-simplify]: Simplify (* 1 1) into 1 6.660 * [backup-simplify]: Simplify (+ 1 0) into 1 6.660 * [backup-simplify]: Simplify (* 1 1) into 1 6.660 * [backup-simplify]: Simplify (/ 1 1) into 1 6.660 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.660 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.660 * [taylor]: Taking taylor expansion of y in y 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify 1 into 1 6.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.661 * [taylor]: Taking taylor expansion of y in y 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (* 1 1) into 1 6.661 * [backup-simplify]: Simplify (/ 1 1) into 1 6.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.661 * [taylor]: Taking taylor expansion of x in y 6.661 * [backup-simplify]: Simplify x into x 6.661 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.661 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.662 * [backup-simplify]: Simplify (* 1 1) into 1 6.662 * [backup-simplify]: Simplify (+ 1 0) into 1 6.662 * [backup-simplify]: Simplify (* 1 1) into 1 6.662 * [backup-simplify]: Simplify (/ 1 1) into 1 6.662 * [taylor]: Taking taylor expansion of 1 in x 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.663 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.665 * [taylor]: Taking taylor expansion of 0 in x 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.666 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.668 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.668 * [taylor]: Taking taylor expansion of x in x 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify (* 1 1) into 1 6.668 * [backup-simplify]: Simplify (/ 1 1) into 1 6.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.673 * [backup-simplify]: Simplify (- 0) into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 6.673 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 6.673 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 6.673 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 6.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.673 * [taylor]: Taking taylor expansion of x in y 6.673 * [backup-simplify]: Simplify x into x 6.673 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.673 * [taylor]: Taking taylor expansion of y in y 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.673 * [taylor]: Taking taylor expansion of x in y 6.673 * [backup-simplify]: Simplify x into x 6.673 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.673 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.674 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.674 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.674 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.674 * [taylor]: Taking taylor expansion of x in x 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.674 * [taylor]: Taking taylor expansion of y in x 6.674 * [backup-simplify]: Simplify y into y 6.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.674 * [taylor]: Taking taylor expansion of x in x 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [backup-simplify]: Simplify (* 1 1) into 1 6.674 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.674 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.674 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.674 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.674 * [taylor]: Taking taylor expansion of x in x 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.675 * [taylor]: Taking taylor expansion of y in x 6.675 * [backup-simplify]: Simplify y into y 6.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.675 * [taylor]: Taking taylor expansion of x in x 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (* 1 1) into 1 6.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.675 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.675 * [taylor]: Taking taylor expansion of y in y 6.675 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (* 1 1) into 1 6.676 * [backup-simplify]: Simplify (/ 1 1) into 1 6.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.678 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.678 * [backup-simplify]: Simplify (+ 0 0) into 0 6.679 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.679 * [taylor]: Taking taylor expansion of 0 in y 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify 0 into 0 6.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.680 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.682 * [backup-simplify]: Simplify (* 1 1) into 1 6.682 * [backup-simplify]: Simplify (+ 0 1) into 1 6.683 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 6.683 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 6.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.683 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.683 * [taylor]: Taking taylor expansion of y in y 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.684 * [backup-simplify]: Simplify (* 1 1) into 1 6.684 * [backup-simplify]: Simplify (* 1 1) into 1 6.684 * [backup-simplify]: Simplify (/ 1 1) into 1 6.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (- 0) into 0 6.696 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.698 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 6.698 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.698 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.698 * [taylor]: Taking taylor expansion of x in y 6.698 * [backup-simplify]: Simplify x into x 6.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.698 * [taylor]: Taking taylor expansion of y in y 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [backup-simplify]: Simplify (* 1 1) into 1 6.698 * [backup-simplify]: Simplify (/ 1 1) into 1 6.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.698 * [taylor]: Taking taylor expansion of x in y 6.698 * [backup-simplify]: Simplify x into x 6.698 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.699 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.699 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.699 * [backup-simplify]: Simplify (+ 1 0) into 1 6.699 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.699 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.699 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.699 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.699 * [taylor]: Taking taylor expansion of x in x 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.699 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.699 * [taylor]: Taking taylor expansion of y in x 6.699 * [backup-simplify]: Simplify y into y 6.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.699 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.699 * [taylor]: Taking taylor expansion of x in x 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify 1 into 1 6.700 * [backup-simplify]: Simplify (* 1 1) into 1 6.700 * [backup-simplify]: Simplify (/ 1 1) into 1 6.700 * [backup-simplify]: Simplify (* 1 1) into 1 6.700 * [backup-simplify]: Simplify (+ 0 1) into 1 6.701 * [backup-simplify]: Simplify (* 1 1) into 1 6.701 * [backup-simplify]: Simplify (/ 1 1) into 1 6.701 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.701 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.701 * [taylor]: Taking taylor expansion of x in x 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.701 * [taylor]: Taking taylor expansion of y in x 6.701 * [backup-simplify]: Simplify y into y 6.701 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.701 * [taylor]: Taking taylor expansion of x in x 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify 1 into 1 6.702 * [backup-simplify]: Simplify (* 1 1) into 1 6.702 * [backup-simplify]: Simplify (/ 1 1) into 1 6.702 * [backup-simplify]: Simplify (* 1 1) into 1 6.702 * [backup-simplify]: Simplify (+ 0 1) into 1 6.702 * [backup-simplify]: Simplify (* 1 1) into 1 6.703 * [backup-simplify]: Simplify (/ 1 1) into 1 6.703 * [taylor]: Taking taylor expansion of 1 in y 6.703 * [backup-simplify]: Simplify 1 into 1 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.704 * [backup-simplify]: Simplify (+ 0 0) into 0 6.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.705 * [taylor]: Taking taylor expansion of 0 in y 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.706 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.707 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.708 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.708 * [taylor]: Taking taylor expansion of y in y 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify 1 into 1 6.708 * [backup-simplify]: Simplify (* 1 1) into 1 6.709 * [backup-simplify]: Simplify (/ 1 1) into 1 6.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.713 * [backup-simplify]: Simplify (- 0) into 0 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.713 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 6.713 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.713 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.714 * [taylor]: Taking taylor expansion of x in y 6.714 * [backup-simplify]: Simplify x into x 6.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.714 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.714 * [taylor]: Taking taylor expansion of y in y 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (* 1 1) into 1 6.714 * [backup-simplify]: Simplify (/ 1 1) into 1 6.714 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.714 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.714 * [taylor]: Taking taylor expansion of x in y 6.714 * [backup-simplify]: Simplify x into x 6.714 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.714 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.714 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.715 * [backup-simplify]: Simplify (+ 1 0) into 1 6.715 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.715 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.715 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.715 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.715 * [taylor]: Taking taylor expansion of x in x 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.715 * [taylor]: Taking taylor expansion of y in x 6.715 * [backup-simplify]: Simplify y into y 6.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.715 * [taylor]: Taking taylor expansion of x in x 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (/ 1 1) into 1 6.716 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (+ 0 1) into 1 6.717 * [backup-simplify]: Simplify (* 1 1) into 1 6.717 * [backup-simplify]: Simplify (/ 1 1) into 1 6.717 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.717 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.717 * [taylor]: Taking taylor expansion of x in x 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify 1 into 1 6.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.717 * [taylor]: Taking taylor expansion of y in x 6.717 * [backup-simplify]: Simplify y into y 6.717 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.717 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.717 * [taylor]: Taking taylor expansion of x in x 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify 1 into 1 6.718 * [backup-simplify]: Simplify (* 1 1) into 1 6.718 * [backup-simplify]: Simplify (/ 1 1) into 1 6.718 * [backup-simplify]: Simplify (* 1 1) into 1 6.718 * [backup-simplify]: Simplify (+ 0 1) into 1 6.719 * [backup-simplify]: Simplify (* 1 1) into 1 6.719 * [backup-simplify]: Simplify (/ 1 1) into 1 6.719 * [taylor]: Taking taylor expansion of 1 in y 6.719 * [backup-simplify]: Simplify 1 into 1 6.719 * [backup-simplify]: Simplify 0 into 0 6.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify (+ 0 0) into 0 6.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.721 * [taylor]: Taking taylor expansion of 0 in y 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.723 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.724 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.724 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.724 * [taylor]: Taking taylor expansion of y in y 6.724 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify 1 into 1 6.725 * [backup-simplify]: Simplify (* 1 1) into 1 6.725 * [backup-simplify]: Simplify (/ 1 1) into 1 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.731 * [backup-simplify]: Simplify (- 0) into 0 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify 0 into 0 6.731 * [backup-simplify]: Simplify 0 into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.732 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.732 * [backup-simplify]: Simplify (log (exp (/ (* y y) (+ (* x x) (* y y))))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 6.732 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 6.732 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.732 * [taylor]: Taking taylor expansion of y in x 6.732 * [backup-simplify]: Simplify y into y 6.732 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.732 * [taylor]: Taking taylor expansion of y in x 6.732 * [backup-simplify]: Simplify y into y 6.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.732 * [taylor]: Taking taylor expansion of x in x 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.733 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.733 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.733 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.733 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.733 * [taylor]: Taking taylor expansion of y in y 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.733 * [taylor]: Taking taylor expansion of y in y 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.733 * [taylor]: Taking taylor expansion of x in y 6.733 * [backup-simplify]: Simplify x into x 6.734 * [backup-simplify]: Simplify (* 1 1) into 1 6.734 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.734 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.734 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.734 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.735 * [taylor]: Taking taylor expansion of y in y 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.735 * [taylor]: Taking taylor expansion of y in y 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.735 * [taylor]: Taking taylor expansion of x in y 6.735 * [backup-simplify]: Simplify x into x 6.735 * [backup-simplify]: Simplify (* 1 1) into 1 6.735 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.735 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.736 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.736 * [taylor]: Taking taylor expansion of x in x 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (* 1 1) into 1 6.737 * [backup-simplify]: Simplify (/ 1 1) into 1 6.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.740 * [backup-simplify]: Simplify 0 into 0 6.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.741 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.741 * [backup-simplify]: Simplify (+ 0 0) into 0 6.742 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.742 * [taylor]: Taking taylor expansion of 0 in x 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.744 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.745 * [backup-simplify]: Simplify (* 1 1) into 1 6.746 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.746 * [backup-simplify]: Simplify (+ 1 0) into 1 6.747 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 6.747 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 6.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.747 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.747 * [taylor]: Taking taylor expansion of x in x 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.748 * [backup-simplify]: Simplify (* 1 1) into 1 6.748 * [backup-simplify]: Simplify (* 1 1) into 1 6.748 * [backup-simplify]: Simplify (/ 1 1) into 1 6.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify (- 0) into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify (log (exp (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.765 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.765 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.765 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.765 * [taylor]: Taking taylor expansion of y in x 6.765 * [backup-simplify]: Simplify y into y 6.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.765 * [taylor]: Taking taylor expansion of y in x 6.765 * [backup-simplify]: Simplify y into y 6.765 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.765 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.765 * [taylor]: Taking taylor expansion of x in x 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (* 1 1) into 1 6.766 * [backup-simplify]: Simplify (/ 1 1) into 1 6.766 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.766 * [backup-simplify]: Simplify (+ 0 1) into 1 6.767 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.767 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.767 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.767 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.767 * [taylor]: Taking taylor expansion of y in y 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.767 * [taylor]: Taking taylor expansion of y in y 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.767 * [backup-simplify]: Simplify (* 1 1) into 1 6.768 * [backup-simplify]: Simplify (/ 1 1) into 1 6.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.768 * [taylor]: Taking taylor expansion of x in y 6.768 * [backup-simplify]: Simplify x into x 6.768 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.768 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.769 * [backup-simplify]: Simplify (* 1 1) into 1 6.769 * [backup-simplify]: Simplify (+ 1 0) into 1 6.769 * [backup-simplify]: Simplify (* 1 1) into 1 6.770 * [backup-simplify]: Simplify (/ 1 1) into 1 6.770 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.770 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.770 * [taylor]: Taking taylor expansion of y in y 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.770 * [taylor]: Taking taylor expansion of y in y 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 1 into 1 6.770 * [backup-simplify]: Simplify (* 1 1) into 1 6.771 * [backup-simplify]: Simplify (/ 1 1) into 1 6.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.771 * [taylor]: Taking taylor expansion of x in y 6.771 * [backup-simplify]: Simplify x into x 6.771 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.771 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.771 * [backup-simplify]: Simplify (* 1 1) into 1 6.772 * [backup-simplify]: Simplify (+ 1 0) into 1 6.772 * [backup-simplify]: Simplify (* 1 1) into 1 6.773 * [backup-simplify]: Simplify (/ 1 1) into 1 6.773 * [taylor]: Taking taylor expansion of 1 in x 6.773 * [backup-simplify]: Simplify 1 into 1 6.773 * [backup-simplify]: Simplify 0 into 0 6.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (+ 0 0) into 0 6.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.778 * [taylor]: Taking taylor expansion of 0 in x 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 0 into 0 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.780 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.783 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.783 * [taylor]: Taking taylor expansion of x in x 6.783 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify 1 into 1 6.784 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (/ 1 1) into 1 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.792 * [backup-simplify]: Simplify (- 0) into 0 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify 0 into 0 6.793 * [backup-simplify]: Simplify (log (exp (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.793 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.793 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.793 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.793 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.793 * [taylor]: Taking taylor expansion of y in x 6.793 * [backup-simplify]: Simplify y into y 6.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.793 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.793 * [taylor]: Taking taylor expansion of y in x 6.793 * [backup-simplify]: Simplify y into y 6.793 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.793 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.793 * [taylor]: Taking taylor expansion of x in x 6.793 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify (* 1 1) into 1 6.794 * [backup-simplify]: Simplify (/ 1 1) into 1 6.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.795 * [backup-simplify]: Simplify (+ 0 1) into 1 6.795 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.795 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.795 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.795 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.795 * [taylor]: Taking taylor expansion of y in y 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.795 * [taylor]: Taking taylor expansion of y in y 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (* 1 1) into 1 6.796 * [backup-simplify]: Simplify (/ 1 1) into 1 6.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.796 * [taylor]: Taking taylor expansion of x in y 6.796 * [backup-simplify]: Simplify x into x 6.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.796 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.796 * [backup-simplify]: Simplify (* 1 1) into 1 6.797 * [backup-simplify]: Simplify (+ 1 0) into 1 6.797 * [backup-simplify]: Simplify (* 1 1) into 1 6.797 * [backup-simplify]: Simplify (/ 1 1) into 1 6.797 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.797 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.797 * [taylor]: Taking taylor expansion of y in y 6.798 * [backup-simplify]: Simplify 0 into 0 6.798 * [backup-simplify]: Simplify 1 into 1 6.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.798 * [taylor]: Taking taylor expansion of y in y 6.798 * [backup-simplify]: Simplify 0 into 0 6.798 * [backup-simplify]: Simplify 1 into 1 6.798 * [backup-simplify]: Simplify (* 1 1) into 1 6.798 * [backup-simplify]: Simplify (/ 1 1) into 1 6.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.798 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.798 * [taylor]: Taking taylor expansion of x in y 6.798 * [backup-simplify]: Simplify x into x 6.798 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.798 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.799 * [backup-simplify]: Simplify (* 1 1) into 1 6.799 * [backup-simplify]: Simplify (+ 1 0) into 1 6.799 * [backup-simplify]: Simplify (* 1 1) into 1 6.799 * [backup-simplify]: Simplify (/ 1 1) into 1 6.799 * [taylor]: Taking taylor expansion of 1 in x 6.799 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.800 * [backup-simplify]: Simplify (+ 0 0) into 0 6.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.802 * [taylor]: Taking taylor expansion of 0 in x 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.803 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.805 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.806 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.806 * [taylor]: Taking taylor expansion of x in x 6.806 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify 1 into 1 6.806 * [backup-simplify]: Simplify (* 1 1) into 1 6.807 * [backup-simplify]: Simplify (/ 1 1) into 1 6.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.812 * [backup-simplify]: Simplify (- 0) into 0 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 6.812 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 6.812 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 6.812 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.812 * [taylor]: Taking taylor expansion of y in y 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.813 * [taylor]: Taking taylor expansion of x in y 6.813 * [backup-simplify]: Simplify x into x 6.813 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.813 * [taylor]: Taking taylor expansion of y in x 6.813 * [backup-simplify]: Simplify y into y 6.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.813 * [taylor]: Taking taylor expansion of x in x 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.813 * [taylor]: Taking taylor expansion of y in x 6.813 * [backup-simplify]: Simplify y into y 6.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.813 * [taylor]: Taking taylor expansion of x in x 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.813 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.813 * [taylor]: Taking taylor expansion of y in y 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 1 into 1 6.813 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.813 * [backup-simplify]: Simplify (+ 0 0) into 0 6.813 * [taylor]: Taking taylor expansion of 0 in y 6.813 * [backup-simplify]: Simplify 0 into 0 6.813 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.814 * [backup-simplify]: Simplify (* 1 1) into 1 6.814 * [backup-simplify]: Simplify (+ 0 1) into 1 6.814 * [taylor]: Taking taylor expansion of 1 in y 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify 0 into 0 6.815 * [backup-simplify]: Simplify (* 1 1) into 1 6.815 * [backup-simplify]: Simplify 1 into 1 6.815 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.816 * [backup-simplify]: Simplify (+ 0 0) into 0 6.816 * [taylor]: Taking taylor expansion of 0 in y 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.818 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [taylor]: Taking taylor expansion of 0 in y 6.818 * [backup-simplify]: Simplify 0 into 0 6.818 * [backup-simplify]: Simplify 0 into 0 6.818 * [backup-simplify]: Simplify 0 into 0 6.818 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 6.818 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 6.818 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 6.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.819 * [taylor]: Taking taylor expansion of y in y 6.819 * [backup-simplify]: Simplify 0 into 0 6.819 * [backup-simplify]: Simplify 1 into 1 6.819 * [backup-simplify]: Simplify (* 1 1) into 1 6.819 * [backup-simplify]: Simplify (/ 1 1) into 1 6.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.819 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.819 * [taylor]: Taking taylor expansion of x in y 6.819 * [backup-simplify]: Simplify x into x 6.819 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.819 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.819 * [taylor]: Taking taylor expansion of y in x 6.819 * [backup-simplify]: Simplify y into y 6.819 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.820 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.820 * [taylor]: Taking taylor expansion of x in x 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 1 into 1 6.820 * [backup-simplify]: Simplify (* 1 1) into 1 6.820 * [backup-simplify]: Simplify (/ 1 1) into 1 6.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.820 * [taylor]: Taking taylor expansion of y in x 6.820 * [backup-simplify]: Simplify y into y 6.821 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.821 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.821 * [taylor]: Taking taylor expansion of x in x 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify 1 into 1 6.821 * [backup-simplify]: Simplify (* 1 1) into 1 6.821 * [backup-simplify]: Simplify (/ 1 1) into 1 6.822 * [backup-simplify]: Simplify (+ 0 1) into 1 6.822 * [taylor]: Taking taylor expansion of 1 in y 6.822 * [backup-simplify]: Simplify 1 into 1 6.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (+ 0 0) into 0 6.823 * [taylor]: Taking taylor expansion of 0 in y 6.823 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.825 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.825 * [taylor]: Taking taylor expansion of y in y 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (* 1 1) into 1 6.826 * [backup-simplify]: Simplify (/ 1 1) into 1 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.829 * [backup-simplify]: Simplify (+ 0 0) into 0 6.829 * [taylor]: Taking taylor expansion of 0 in y 6.829 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.830 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (+ 0 0) into 0 6.834 * [taylor]: Taking taylor expansion of 0 in y 6.834 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 6.836 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 6.836 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 6.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.836 * [taylor]: Taking taylor expansion of y in y 6.836 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify 1 into 1 6.837 * [backup-simplify]: Simplify (* 1 1) into 1 6.837 * [backup-simplify]: Simplify (/ 1 1) into 1 6.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.837 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.837 * [taylor]: Taking taylor expansion of x in y 6.837 * [backup-simplify]: Simplify x into x 6.837 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.837 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.837 * [taylor]: Taking taylor expansion of y in x 6.838 * [backup-simplify]: Simplify y into y 6.838 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.838 * [taylor]: Taking taylor expansion of x in x 6.838 * [backup-simplify]: Simplify 0 into 0 6.838 * [backup-simplify]: Simplify 1 into 1 6.838 * [backup-simplify]: Simplify (* 1 1) into 1 6.838 * [backup-simplify]: Simplify (/ 1 1) into 1 6.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.839 * [taylor]: Taking taylor expansion of y in x 6.839 * [backup-simplify]: Simplify y into y 6.839 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.839 * [taylor]: Taking taylor expansion of x in x 6.839 * [backup-simplify]: Simplify 0 into 0 6.839 * [backup-simplify]: Simplify 1 into 1 6.839 * [backup-simplify]: Simplify (* 1 1) into 1 6.840 * [backup-simplify]: Simplify (/ 1 1) into 1 6.840 * [backup-simplify]: Simplify (+ 0 1) into 1 6.840 * [taylor]: Taking taylor expansion of 1 in y 6.840 * [backup-simplify]: Simplify 1 into 1 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.842 * [backup-simplify]: Simplify (+ 0 0) into 0 6.842 * [taylor]: Taking taylor expansion of 0 in y 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.843 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.843 * [taylor]: Taking taylor expansion of y in y 6.843 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify 1 into 1 6.844 * [backup-simplify]: Simplify (* 1 1) into 1 6.844 * [backup-simplify]: Simplify (/ 1 1) into 1 6.844 * [backup-simplify]: Simplify 1 into 1 6.844 * [backup-simplify]: Simplify 1 into 1 6.844 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.846 * [backup-simplify]: Simplify (+ 0 0) into 0 6.846 * [taylor]: Taking taylor expansion of 0 in y 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.849 * [backup-simplify]: Simplify (+ 0 0) into 0 6.849 * [taylor]: Taking taylor expansion of 0 in y 6.849 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 6.851 * * * [progress]: simplifying candidates 6.852 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* y y) 1) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* y y)))) (- (log (* x x)) (log (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* x x) (+ (* x x) (* y y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x 1) (/ x (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* x x) 1) (/ (+ (* x x) (* y y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (log (* (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))) (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))))) (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y)))))) (log 1) (log (exp (/ (* y y) (+ (* x x) (* y y))))) (log (exp (/ (* y y) (+ (* x x) (* y y))))) (log (exp (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))))) (log (exp (sqrt (/ (* y y) (+ (* x x) (* y y)))))) (log (exp (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))))) (log (exp (/ y (sqrt (+ (* x x) (* y y)))))) (log (exp (/ y 1))) (log (exp 1)) (log (exp (* y y))) (log (exp (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))))) (log (exp (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (log (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (exp (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (* (cbrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (log (exp (/ (* y y) (+ (* x x) (* y y))))))) (cbrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (* (* (log (exp (/ (* y y) (+ (* x x) (* y y))))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y y)))))) (sqrt (log (exp (/ (* y y) (+ (* x x) (* y 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)) 0 0 0 0 0 0 0 0 0 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 6.853 * * [simplify]: iteration 0: 128 enodes 6.889 * * [simplify]: iteration 1: 376 enodes 7.065 * * [simplify]: iteration 2: 1533 enodes 7.632 * * [simplify]: iteration complete: 5001 enodes 7.632 * * [simplify]: Extracting #0: cost 57 inf + 0 7.638 * * [simplify]: Extracting #1: cost 1061 inf + 45 7.644 * * [simplify]: Extracting #2: cost 1895 inf + 4735 7.660 * * [simplify]: Extracting #3: cost 1693 inf + 70276 7.740 * * [simplify]: Extracting #4: cost 403 inf + 322159 7.869 * * [simplify]: Extracting #5: cost 60 inf + 409133 7.956 * * [simplify]: Extracting #6: cost 10 inf + 418428 8.077 * * [simplify]: Extracting #7: cost 0 inf + 421356 8.187 * [simplify]: Simplified to: (log (/ (* y y) (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* y y) (* x x))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) y (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (* (/ y (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (* y y) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (* (* (* y y) (* y y)) (* y y)) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (* (- x) x) (- (+ (* y y) (* x x))) (/ (/ x (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (/ x (cbrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) x (/ x (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* x x)) (* (/ x (cbrt (+ (* x x) (* y y)))) (/ x (cbrt (+ (* x x) (* y y))))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (* x x) (/ (+ (* x x) (* y y)) x) (/ (* x x) (+ (* (* (* y y) (* y y)) (* y y)) (* (* (* x x) (* x x)) (* x x)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (+ (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y))))))) (log (cbrt (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y)))))) (log (sqrt (exp (/ (* y y) (+ (* x x) (* y y)))))) 0 (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))) y 1 (* y y) (/ (* y y) (+ (* (* (* y y) (* y y)) (* y y)) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* (* y y) (* y y)) (* y y)) (* (* (* x x) (* x x)) (* x x))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (- x y) (+ y x)) 0 0 0 0 0 0 0 0 0 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 8.194 * * * [progress]: adding candidates to table 8.705 * * [progress]: iteration 4 / 4 8.705 * * * [progress]: picking best candidate 8.717 * * * * [pick]: Picked # 8.717 * * * [progress]: localizing error 8.720 * * * [progress]: generating rewritten candidates 8.720 * * * [progress]: generating series expansions 8.721 * * * [progress]: simplifying candidates 8.721 * [simplify]: Simplifying: 8.721 * * [simplify]: iteration 0: 0 enodes 8.721 * * [simplify]: iteration complete: 0 enodes 8.721 * * [simplify]: Extracting #0: cost 0 inf + 0 8.721 * [simplify]: Simplified to: 8.721 * * * [progress]: adding candidates to table 8.722 * [progress]: [Phase 3 of 3] Extracting. 8.722 * * [regime]: Finding splitpoints for: (# # # #) 8.723 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.723 * * * * [regimes]: Trying to branch on y from (# # # #) 8.792 * * * * [regimes]: Trying to branch on x from (# # # #) 8.832 * * * [regime]: Found split indices: #