18.387 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.040 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.040 * * [simplify]: iteration 0: 9 enodes 0.042 * * [simplify]: iteration 1: 22 enodes 0.046 * * [simplify]: iteration 2: 46 enodes 0.054 * * [simplify]: iteration 3: 95 enodes 0.069 * * [simplify]: iteration 4: 177 enodes 0.125 * * [simplify]: iteration 5: 339 enodes 0.234 * * [simplify]: iteration 6: 575 enodes 0.437 * * [simplify]: iteration 7: 1519 enodes 0.910 * * [simplify]: iteration 8: 2001 enodes 1.424 * * [simplify]: iteration complete: 2001 enodes 1.424 * * [simplify]: Extracting #0: cost 1 inf + 0 1.424 * * [simplify]: Extracting #1: cost 78 inf + 0 1.425 * * [simplify]: Extracting #2: cost 338 inf + 1 1.435 * * [simplify]: Extracting #3: cost 539 inf + 3 1.439 * * [simplify]: Extracting #4: cost 325 inf + 16670 1.449 * * [simplify]: Extracting #5: cost 144 inf + 44417 1.467 * * [simplify]: Extracting #6: cost 7 inf + 78093 1.498 * * [simplify]: Extracting #7: cost 0 inf + 80227 1.518 * [simplify]: Simplified to: (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) 1.523 * * [progress]: iteration 1 / 4 1.524 * * * [progress]: picking best candidate 1.525 * * * * [pick]: Picked # 1.525 * * * [progress]: localizing error 1.542 * * * [progress]: generating rewritten candidates 1.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.561 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.591 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.702 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.721 * * * [progress]: generating series expansions 1.721 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.722 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 1.722 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 1.722 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.722 * [taylor]: Taking taylor expansion of y in x 1.722 * [backup-simplify]: Simplify y into y 1.722 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.722 * [taylor]: Taking taylor expansion of y in x 1.722 * [backup-simplify]: Simplify y into y 1.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.722 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.722 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.722 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 1.722 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 1 into 1 1.722 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.722 * [taylor]: Taking taylor expansion of y in y 1.722 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.723 * [taylor]: Taking taylor expansion of x in y 1.723 * [backup-simplify]: Simplify x into x 1.723 * [backup-simplify]: Simplify (* 1 1) into 1 1.723 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.723 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.724 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.724 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 1.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.724 * [taylor]: Taking taylor expansion of y in y 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.724 * [taylor]: Taking taylor expansion of x in y 1.724 * [backup-simplify]: Simplify x into x 1.724 * [backup-simplify]: Simplify (* 1 1) into 1 1.724 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.724 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.725 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* 1 1) into 1 1.726 * [backup-simplify]: Simplify (/ 1 1) into 1 1.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.730 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.735 * [backup-simplify]: Simplify (+ 1 0) into 1 1.735 * [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))) 1.735 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.735 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.735 * [taylor]: Taking taylor expansion of x in x 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (* 1 1) into 1 1.736 * [backup-simplify]: Simplify (* 1 1) into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (- 0) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [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))))) 1.751 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 1.751 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.751 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.751 * [taylor]: Taking taylor expansion of y in x 1.751 * [backup-simplify]: Simplify y into y 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.752 * [taylor]: Taking taylor expansion of y in x 1.752 * [backup-simplify]: Simplify y into y 1.752 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.752 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (* 1 1) into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.753 * [backup-simplify]: Simplify (+ 0 1) into 1 1.753 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 1.753 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.753 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.753 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.753 * [taylor]: Taking taylor expansion of y in y 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.754 * [taylor]: Taking taylor expansion of y in y 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (* 1 1) into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.754 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.754 * [taylor]: Taking taylor expansion of x in y 1.754 * [backup-simplify]: Simplify x into x 1.755 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.755 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (+ 1 0) into 1 1.756 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.756 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.757 * [taylor]: Taking taylor expansion of y in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (* 1 1) into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.758 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.758 * [taylor]: Taking taylor expansion of x in y 1.758 * [backup-simplify]: Simplify x into x 1.758 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.758 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.758 * [backup-simplify]: Simplify (* 1 1) into 1 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.759 * [backup-simplify]: Simplify (* 1 1) into 1 1.759 * [backup-simplify]: Simplify (/ 1 1) into 1 1.759 * [taylor]: Taking taylor expansion of 1 in x 1.759 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.764 * [taylor]: Taking taylor expansion of 0 in x 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 1.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.768 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 1.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.769 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.769 * [taylor]: Taking taylor expansion of x in x 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (* 1 1) into 1 1.769 * [backup-simplify]: Simplify (/ 1 1) into 1 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [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))))) 1.778 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 1.778 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.778 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.778 * [taylor]: Taking taylor expansion of y in x 1.778 * [backup-simplify]: Simplify y into y 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.778 * [taylor]: Taking taylor expansion of y in x 1.778 * [backup-simplify]: Simplify y into y 1.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.780 * [backup-simplify]: Simplify (+ 0 1) into 1 1.780 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 1.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.780 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.780 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.780 * [taylor]: Taking taylor expansion of y in y 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.781 * [taylor]: Taking taylor expansion of y in y 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (* 1 1) into 1 1.781 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.781 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.781 * [taylor]: Taking taylor expansion of x in y 1.781 * [backup-simplify]: Simplify x into x 1.781 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.782 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.782 * [backup-simplify]: Simplify (* 1 1) into 1 1.782 * [backup-simplify]: Simplify (+ 1 0) into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.783 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.783 * [taylor]: Taking taylor expansion of y in y 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.784 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.784 * [taylor]: Taking taylor expansion of x in y 1.784 * [backup-simplify]: Simplify x into x 1.784 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.784 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.784 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (+ 1 0) into 1 1.785 * [backup-simplify]: Simplify (* 1 1) into 1 1.785 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [taylor]: Taking taylor expansion of 1 in x 1.785 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.787 * [taylor]: Taking taylor expansion of 0 in x 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 1.790 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (* 1 1) into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- 0) into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.796 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 1.796 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 1.796 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 1.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.796 * [taylor]: Taking taylor expansion of x in y 1.796 * [backup-simplify]: Simplify x into x 1.796 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.796 * [taylor]: Taking taylor expansion of y in y 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.796 * [taylor]: Taking taylor expansion of x in y 1.796 * [backup-simplify]: Simplify x into x 1.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.796 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.796 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.796 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 1.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.796 * [taylor]: Taking taylor expansion of y in x 1.796 * [backup-simplify]: Simplify y into y 1.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (* 1 1) into 1 1.797 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.797 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.797 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.797 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 1.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.797 * [backup-simplify]: Simplify y into y 1.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (* 1 1) into 1 1.797 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.797 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.797 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.797 * [taylor]: Taking taylor expansion of y in y 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.798 * [backup-simplify]: Simplify (* 1 1) into 1 1.798 * [backup-simplify]: Simplify (/ 1 1) into 1 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.800 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.801 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.801 * [taylor]: Taking taylor expansion of 0 in y 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.803 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.803 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (+ 0 1) into 1 1.804 * [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))) 1.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.804 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.804 * [taylor]: Taking taylor expansion of y in y 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (* 1 1) into 1 1.805 * [backup-simplify]: Simplify (* 1 1) into 1 1.805 * [backup-simplify]: Simplify (/ 1 1) into 1 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 0 into 0 1.821 * [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))))) 1.821 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 1.821 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.821 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.821 * [backup-simplify]: Simplify x into x 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.821 * [taylor]: Taking taylor expansion of y in y 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (* 1 1) into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.822 * [taylor]: Taking taylor expansion of x in y 1.822 * [backup-simplify]: Simplify x into x 1.822 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.822 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.822 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.823 * [backup-simplify]: Simplify (+ 1 0) into 1 1.823 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.823 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.823 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.823 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.823 * [taylor]: Taking taylor expansion of y in x 1.823 * [backup-simplify]: Simplify y into y 1.823 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.823 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (* 1 1) into 1 1.824 * [backup-simplify]: Simplify (/ 1 1) into 1 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.825 * [backup-simplify]: Simplify (+ 0 1) into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.826 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.826 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.826 * [taylor]: Taking taylor expansion of y in x 1.827 * [backup-simplify]: Simplify y into y 1.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (* 1 1) into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [backup-simplify]: Simplify (* 1 1) into 1 1.828 * [backup-simplify]: Simplify (+ 0 1) into 1 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (/ 1 1) into 1 1.829 * [taylor]: Taking taylor expansion of 1 in y 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.833 * [taylor]: Taking taylor expansion of 0 in y 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 1.835 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.835 * [taylor]: Taking taylor expansion of y in y 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (* 1 1) into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [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))))) 1.841 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 1.841 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.841 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.841 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.841 * [taylor]: Taking taylor expansion of x in y 1.841 * [backup-simplify]: Simplify x into x 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.841 * [taylor]: Taking taylor expansion of y in y 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (* 1 1) into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.842 * [taylor]: Taking taylor expansion of x in y 1.842 * [backup-simplify]: Simplify x into x 1.842 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.842 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.842 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.842 * [backup-simplify]: Simplify (+ 1 0) into 1 1.842 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.842 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.842 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.842 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.842 * [taylor]: Taking taylor expansion of y in x 1.842 * [backup-simplify]: Simplify y into y 1.842 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.842 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (* 1 1) into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.843 * [backup-simplify]: Simplify (* 1 1) into 1 1.843 * [backup-simplify]: Simplify (+ 0 1) into 1 1.844 * [backup-simplify]: Simplify (* 1 1) into 1 1.844 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.844 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.844 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.844 * [taylor]: Taking taylor expansion of y in x 1.844 * [backup-simplify]: Simplify y into y 1.844 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.844 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* 1 1) into 1 1.847 * [backup-simplify]: Simplify (/ 1 1) into 1 1.847 * [backup-simplify]: Simplify (* 1 1) into 1 1.847 * [backup-simplify]: Simplify (+ 0 1) into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.848 * [taylor]: Taking taylor expansion of 1 in y 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.850 * [taylor]: Taking taylor expansion of 0 in y 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.852 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 1.853 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.853 * [taylor]: Taking taylor expansion of y in y 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (* 1 1) into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.859 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 1.859 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 1.860 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 1.860 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 1.860 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.860 * [taylor]: Taking taylor expansion of x in y 1.860 * [backup-simplify]: Simplify x into x 1.860 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.860 * [taylor]: Taking taylor expansion of y in y 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.860 * [taylor]: Taking taylor expansion of x in y 1.860 * [backup-simplify]: Simplify x into x 1.860 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.860 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.860 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.860 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.860 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 1.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.860 * [taylor]: Taking taylor expansion of y in y 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.860 * [taylor]: Taking taylor expansion of y in y 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.860 * [taylor]: Taking taylor expansion of x in y 1.860 * [backup-simplify]: Simplify x into x 1.861 * [backup-simplify]: Simplify (* 1 1) into 1 1.861 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.861 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.861 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.861 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 1.861 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 1.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.861 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.861 * [taylor]: Taking taylor expansion of y in x 1.861 * [backup-simplify]: Simplify y into y 1.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.862 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.862 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.862 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 1.862 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.862 * [backup-simplify]: Simplify y into y 1.862 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.862 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.862 * [taylor]: Taking taylor expansion of y in x 1.862 * [backup-simplify]: Simplify y into y 1.862 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.862 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.863 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.863 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 1.863 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 1.863 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.863 * [taylor]: Taking taylor expansion of y in x 1.863 * [backup-simplify]: Simplify y into y 1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (* 1 1) into 1 1.864 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.864 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.864 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.864 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 1.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.864 * [taylor]: Taking taylor expansion of y in x 1.864 * [backup-simplify]: Simplify y into y 1.864 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.864 * [taylor]: Taking taylor expansion of y in x 1.864 * [backup-simplify]: Simplify y into y 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.864 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.864 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.864 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 1.865 * [backup-simplify]: Simplify (- 1) into -1 1.866 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.866 * [taylor]: Taking taylor expansion of -1 in y 1.866 * [backup-simplify]: Simplify -1 into -1 1.866 * [backup-simplify]: Simplify -1 into -1 1.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 1.867 * [backup-simplify]: Simplify (- 0) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [taylor]: Taking taylor expansion of 0 in y 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.869 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.869 * [backup-simplify]: Simplify (* 1 1) into 1 1.870 * [backup-simplify]: Simplify (+ 0 1) into 1 1.870 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 1.870 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 1.870 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.870 * [taylor]: Taking taylor expansion of 2 in y 1.870 * [backup-simplify]: Simplify 2 into 2 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.870 * [taylor]: Taking taylor expansion of y in y 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.878 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.880 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.882 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 1.882 * [backup-simplify]: Simplify (- 0) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [taylor]: Taking taylor expansion of 0 in y 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 1.883 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 1.884 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.884 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.884 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.884 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.884 * [taylor]: Taking taylor expansion of x in y 1.884 * [backup-simplify]: Simplify x into x 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.884 * [taylor]: Taking taylor expansion of y in y 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (* 1 1) into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.885 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.885 * [taylor]: Taking taylor expansion of x in y 1.885 * [backup-simplify]: Simplify x into x 1.885 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.885 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.885 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.885 * [backup-simplify]: Simplify (+ 1 0) into 1 1.886 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.886 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.886 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.886 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.886 * [taylor]: Taking taylor expansion of y in y 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.886 * [taylor]: Taking taylor expansion of y in y 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (* 1 1) into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.887 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.887 * [taylor]: Taking taylor expansion of x in y 1.887 * [backup-simplify]: Simplify x into x 1.887 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.887 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.887 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.889 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.889 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.889 * [taylor]: Taking taylor expansion of y in x 1.889 * [backup-simplify]: Simplify y into y 1.889 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.889 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (* 1 1) into 1 1.890 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [backup-simplify]: Simplify (* 1 1) into 1 1.891 * [backup-simplify]: Simplify (+ 0 1) into 1 1.892 * [backup-simplify]: Simplify (* 1 1) into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.892 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.892 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.892 * [taylor]: Taking taylor expansion of y in x 1.892 * [backup-simplify]: Simplify y into y 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.892 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.892 * [taylor]: Taking taylor expansion of y in x 1.892 * [backup-simplify]: Simplify y into y 1.892 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.893 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.894 * [backup-simplify]: Simplify (+ 0 1) into 1 1.894 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 1.894 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.894 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.894 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.895 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [backup-simplify]: Simplify y into y 1.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.895 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (* 1 1) into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (+ 0 1) into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.898 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.898 * [taylor]: Taking taylor expansion of y in x 1.898 * [backup-simplify]: Simplify y into y 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.898 * [taylor]: Taking taylor expansion of y in x 1.898 * [backup-simplify]: Simplify y into y 1.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.898 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.899 * [backup-simplify]: Simplify (/ 1 1) into 1 1.899 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.899 * [backup-simplify]: Simplify (+ 0 1) into 1 1.900 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 1.900 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.900 * [backup-simplify]: Simplify (+ 1 0) into 1 1.900 * [taylor]: Taking taylor expansion of 1 in y 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [taylor]: Taking taylor expansion of 0 in y 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 1.907 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.907 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 1.907 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.907 * [taylor]: Taking taylor expansion of 2 in y 1.907 * [backup-simplify]: Simplify 2 into 2 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.907 * [taylor]: Taking taylor expansion of y in y 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* 1 1) into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.916 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [taylor]: Taking taylor expansion of 0 in y 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 1.917 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 1.917 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 1.917 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.917 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.917 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.917 * [taylor]: Taking taylor expansion of x in y 1.917 * [backup-simplify]: Simplify x into x 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.917 * [taylor]: Taking taylor expansion of y in y 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.918 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.918 * [taylor]: Taking taylor expansion of x in y 1.918 * [backup-simplify]: Simplify x into x 1.918 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.918 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.918 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.918 * [backup-simplify]: Simplify (+ 1 0) into 1 1.918 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.918 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.918 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 1.918 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 1.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.918 * [taylor]: Taking taylor expansion of y in y 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.918 * [taylor]: Taking taylor expansion of y in y 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.919 * [taylor]: Taking taylor expansion of x in y 1.919 * [backup-simplify]: Simplify x into x 1.919 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.919 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.919 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (+ 1 0) into 1 1.920 * [backup-simplify]: Simplify (* 1 1) into 1 1.920 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.920 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.920 * [taylor]: Taking taylor expansion of y in x 1.920 * [backup-simplify]: Simplify y into y 1.920 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (* 1 1) into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [backup-simplify]: Simplify (* 1 1) into 1 1.921 * [backup-simplify]: Simplify (+ 0 1) into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (/ 1 1) into 1 1.922 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.922 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.922 * [taylor]: Taking taylor expansion of y in x 1.922 * [backup-simplify]: Simplify y into y 1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.922 * [taylor]: Taking taylor expansion of y in x 1.922 * [backup-simplify]: Simplify y into y 1.922 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.922 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.923 * [backup-simplify]: Simplify (+ 0 1) into 1 1.923 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 1.923 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.923 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.923 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.923 * [taylor]: Taking taylor expansion of y in x 1.923 * [backup-simplify]: Simplify y into y 1.923 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.923 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (+ 0 1) into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 1.925 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 1.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.925 * [taylor]: Taking taylor expansion of y in x 1.925 * [backup-simplify]: Simplify y into y 1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.925 * [taylor]: Taking taylor expansion of y in x 1.925 * [backup-simplify]: Simplify y into y 1.925 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.925 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.926 * [backup-simplify]: Simplify (+ 0 1) into 1 1.926 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 1.926 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.926 * [backup-simplify]: Simplify (+ 1 0) into 1 1.927 * [taylor]: Taking taylor expansion of 1 in y 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [taylor]: Taking taylor expansion of 0 in y 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 1.933 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.933 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 1.933 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.933 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.933 * [taylor]: Taking taylor expansion of 2 in y 1.933 * [backup-simplify]: Simplify 2 into 2 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.933 * [taylor]: Taking taylor expansion of y in y 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (* 1 1) into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (- 0) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.948 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [taylor]: Taking taylor expansion of 0 in y 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.949 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 1.949 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 1.949 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.949 * [taylor]: Taking taylor expansion of x in y 1.949 * [backup-simplify]: Simplify x into x 1.949 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.949 * [taylor]: Taking taylor expansion of y in x 1.949 * [backup-simplify]: Simplify y into y 1.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.949 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.949 * [taylor]: Taking taylor expansion of y in x 1.949 * [backup-simplify]: Simplify y into y 1.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.949 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.949 * [taylor]: Taking taylor expansion of y in y 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in y 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.950 * [backup-simplify]: Simplify (* 1 1) into 1 1.950 * [backup-simplify]: Simplify (+ 0 1) into 1 1.950 * [taylor]: Taking taylor expansion of 1 in y 1.950 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in y 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [taylor]: Taking taylor expansion of 0 in y 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 1.954 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.954 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.954 * [taylor]: Taking taylor expansion of y in y 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.955 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.955 * [taylor]: Taking taylor expansion of x in y 1.955 * [backup-simplify]: Simplify x into x 1.955 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.955 * [taylor]: Taking taylor expansion of y in x 1.955 * [backup-simplify]: Simplify y into y 1.955 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.955 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.956 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.956 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.956 * [taylor]: Taking taylor expansion of y in x 1.956 * [backup-simplify]: Simplify y into y 1.956 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.956 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.956 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ 1 1) into 1 1.957 * [backup-simplify]: Simplify (+ 0 1) into 1 1.957 * [taylor]: Taking taylor expansion of 1 in y 1.957 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [taylor]: Taking taylor expansion of 0 in y 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.960 * [taylor]: Taking taylor expansion of y in y 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [taylor]: Taking taylor expansion of 0 in y 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.968 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 1.968 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.968 * [taylor]: Taking taylor expansion of y in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.969 * [taylor]: Taking taylor expansion of x in y 1.969 * [backup-simplify]: Simplify x into x 1.969 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.969 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.969 * [taylor]: Taking taylor expansion of y in x 1.969 * [backup-simplify]: Simplify y into y 1.969 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.969 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.970 * [taylor]: Taking taylor expansion of y in x 1.970 * [backup-simplify]: Simplify y into y 1.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.970 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* 1 1) into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify (+ 0 1) into 1 1.971 * [taylor]: Taking taylor expansion of 1 in y 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.973 * [taylor]: Taking taylor expansion of y in y 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [taylor]: Taking taylor expansion of 0 in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [taylor]: Taking taylor expansion of 0 in y 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 1.980 * * * [progress]: simplifying candidates 1.980 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 1.980 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 1.980 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 1.981 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))> 1.982 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 1.982 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 42 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 1.983 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))> 1.984 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 59 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 1.984 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))> 1.985 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 1.985 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))))> 1.986 * * * * [progress]: [ 83 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 1.986 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 1.987 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 1.989 * [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)))) (real->posit16 (/ (* y y) (+ (* x x) (* 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) (+ 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(* x x) (* y y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* 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))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* 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)) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* y y) (+ (* x x) (* y y)))) (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (* x x) (* y y)) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (- (/ (* y y) (+ (* x x) (* y y)))) (real->posit16 (- (/ (* 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)) (real->posit16 (+ (* x x) (* y y))) 0 0 0 0 0 0 -1 1 1 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 1.992 * * [simplify]: iteration 0: 132 enodes 2.053 * * [simplify]: iteration 1: 429 enodes 2.315 * * [simplify]: iteration 2: 1811 enodes 2.763 * * [simplify]: iteration 3: 2002 enodes 3.241 * * [simplify]: iteration complete: 2002 enodes 3.242 * * [simplify]: Extracting #0: cost 82 inf + 0 3.243 * * [simplify]: Extracting #1: cost 312 inf + 87 3.249 * * [simplify]: Extracting #2: cost 631 inf + 15306 3.263 * * [simplify]: Extracting #3: cost 216 inf + 87534 3.294 * * [simplify]: Extracting #4: cost 17 inf + 124497 3.318 * * [simplify]: Extracting #5: cost 0 inf + 126769 3.356 * [simplify]: Simplified to: (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (exp (/ (* 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) (+ (* y y) (* x x))))) (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) y (/ y (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* y y)) (/ (/ (* y y) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ (* y y) (sqrt (+ (* y y) (* x x)))) (* y y) (/ (+ (* y y) (* x x)) y) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x)))) (/ (/ (* y y) (+ (* y y) (* x x))) (- (* x x) (* y y))) (real->posit16 (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (exp (/ (* 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) (* x x))))) (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (cbrt (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* x x) (+ (* y y) (* x x))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) x (/ x (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* x x)) (/ (/ (* x x) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ (* x x) (sqrt (+ (* y y) (* x x)))) (* x x) (/ (+ (* y y) (* x x)) x) (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x)))) (/ (* x x) (* (+ (* x x) (* y 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(/ (* x x) (+ (* y y) (* x x))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* 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))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (- (/ (* y y) (+ (* y y) (* x x)))) (- (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ y (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (* x x) (* y y)) (- (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x))))) (+ (/ (- (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (- (/ (* y y) (+ (* y y) (* x x)))) (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* y y) (* x x))) 0 0 0 0 0 0 -1 1 1 (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 3.369 * * * [progress]: adding candidates to table 4.090 * * [progress]: iteration 2 / 4 4.090 * * * [progress]: picking best candidate 4.093 * * * * [pick]: Picked # 4.093 * * * [progress]: localizing error 4.093 * * * [progress]: generating rewritten candidates 4.093 * * * [progress]: generating series expansions 4.093 * * * [progress]: simplifying candidates 4.093 * [simplify]: Simplifying: 4.093 * * [simplify]: iteration 0: 0 enodes 4.093 * * [simplify]: iteration complete: 0 enodes 4.093 * * [simplify]: Extracting #0: cost 0 inf + 0 4.093 * [simplify]: Simplified to: 4.093 * * * [progress]: adding candidates to table 4.094 * * [progress]: iteration 3 / 4 4.094 * * * [progress]: picking best candidate 4.095 * * * * [pick]: Picked # 4.095 * * * [progress]: localizing error 4.095 * * * [progress]: generating rewritten candidates 4.095 * * * [progress]: generating series expansions 4.095 * * * [progress]: simplifying candidates 4.096 * [simplify]: Simplifying: 4.096 * * [simplify]: iteration 0: 0 enodes 4.096 * * [simplify]: iteration complete: 0 enodes 4.096 * * [simplify]: Extracting #0: cost 0 inf + 0 4.096 * [simplify]: Simplified to: 4.096 * * * [progress]: adding candidates to table 4.096 * [progress]: [Phase 3 of 3] Extracting. 4.096 * * [regime]: Finding splitpoints for: (# # #) 4.096 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.096 * * * * [regimes]: Trying to branch on y from (# # #) 4.137 * * * * [regimes]: Trying to branch on x from (# # #) 4.194 * * * [regime]: Found split indices: #