26.808 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.048 * * [simplify]: Extracting # 2 : cost 0 0.048 * * [simplify]: Extracting # 3 : cost 0 0.048 * * [simplify]: Extracting # 4 : cost 0 0.049 * * [simplify]: Extracting # 5 : cost 0 0.049 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.062 * * [simplify]: Extracting # 1 : cost 0 0.062 * * [simplify]: Extracting # 2 : cost 0 0.062 * * [simplify]: iteration 2 : 48 enodes (cost 15 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: Extracting # 1 : cost 0 0.085 * * [simplify]: Extracting # 2 : cost 0 0.085 * * [simplify]: iteration 3 : 101 enodes (cost 15 ) 0.130 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: Extracting # 1 : cost 0 0.131 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: iteration 4 : 188 enodes (cost 15 ) 0.213 * * [simplify]: Extracting # 0 : cost 0 0.214 * * [simplify]: Extracting # 1 : cost 0 0.214 * * [simplify]: Extracting # 2 : cost 0 0.214 * * [simplify]: Extracting # 3 : cost 0 0.214 * * [simplify]: iteration 5 : 346 enodes (cost 15 ) 0.448 * * [simplify]: Extracting # 0 : cost 0 0.449 * * [simplify]: Extracting # 1 : cost 0 0.450 * * [simplify]: Extracting # 2 : cost 0 0.451 * * [simplify]: Extracting # 3 : cost 0 0.452 * * [simplify]: Extracting # 4 : cost 0 0.452 * * [simplify]: iteration 6 : 579 enodes (cost 15 ) 0.764 * * [simplify]: Extracting # 0 : cost 0 0.765 * * [simplify]: Extracting # 1 : cost 0 0.766 * * [simplify]: Extracting # 2 : cost 0 0.767 * * [simplify]: iteration 7 : 875 enodes (cost 15 ) 1.852 * * [simplify]: Extracting # 0 : cost 0 1.858 * * [simplify]: Extracting # 1 : cost 0 1.860 * * [simplify]: Extracting # 2 : cost 0 1.861 * * [simplify]: iteration 8 : 2271 enodes (cost 15 ) 4.462 * * [simplify]: Extracting # 0 : cost 0 4.472 * * [simplify]: Extracting # 1 : cost 0 4.479 * * [simplify]: Extracting # 2 : cost 0 4.495 * * [simplify]: Extracting # 3 : cost 0 4.501 * * [simplify]: Extracting # 4 : cost 0 4.505 * * [simplify]: iteration done: 5000 enodes (cost 15 ) 4.505 * [simplify]: Simplified to: (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 4.508 * * [progress]: iteration 1 / 4 4.508 * * * [progress]: picking best candidate 4.511 * * * * [pick]: Picked # 4.511 * * * [progress]: localizing error 4.520 * * * [progress]: generating rewritten candidates 4.521 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.552 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.567 * * * [progress]: generating series expansions 4.567 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.568 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 4.568 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 4.568 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 4.568 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.568 * [taylor]: Taking taylor expansion of (+ x y) in y 4.568 * [taylor]: Taking taylor expansion of x in y 4.568 * [backup-simplify]: Simplify x into x 4.568 * [taylor]: Taking taylor expansion of y in y 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [taylor]: Taking taylor expansion of (- x y) in y 4.568 * [taylor]: Taking taylor expansion of x in y 4.568 * [backup-simplify]: Simplify x into x 4.568 * [taylor]: Taking taylor expansion of y in y 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.568 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.568 * [taylor]: Taking taylor expansion of x in y 4.568 * [backup-simplify]: Simplify x into x 4.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.568 * [taylor]: Taking taylor expansion of y in y 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (+ x 0) into x 4.569 * [backup-simplify]: Simplify (- 0) into 0 4.569 * [backup-simplify]: Simplify (+ x 0) into x 4.569 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.569 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.569 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.569 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.569 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.569 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.569 * [taylor]: Taking taylor expansion of (+ x y) in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.569 * [taylor]: Taking taylor expansion of y in x 4.569 * [backup-simplify]: Simplify y into y 4.569 * [taylor]: Taking taylor expansion of (- x y) in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.569 * [taylor]: Taking taylor expansion of y in x 4.569 * [backup-simplify]: Simplify y into y 4.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.569 * [taylor]: Taking taylor expansion of x in x 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.569 * [taylor]: Taking taylor expansion of y in x 4.570 * [backup-simplify]: Simplify y into y 4.570 * [backup-simplify]: Simplify (+ 0 y) into y 4.570 * [backup-simplify]: Simplify (- y) into (- y) 4.570 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.570 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.570 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.570 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.570 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.570 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.570 * [taylor]: Taking taylor expansion of (+ x y) in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [taylor]: Taking taylor expansion of y in x 4.570 * [backup-simplify]: Simplify y into y 4.570 * [taylor]: Taking taylor expansion of (- x y) in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [taylor]: Taking taylor expansion of y in x 4.570 * [backup-simplify]: Simplify y into y 4.570 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.570 * [taylor]: Taking taylor expansion of x in x 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.570 * [taylor]: Taking taylor expansion of y in x 4.570 * [backup-simplify]: Simplify y into y 4.570 * [backup-simplify]: Simplify (+ 0 y) into y 4.570 * [backup-simplify]: Simplify (- y) into (- y) 4.570 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.570 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.571 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.571 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.571 * [taylor]: Taking taylor expansion of -1 in y 4.571 * [backup-simplify]: Simplify -1 into -1 4.571 * [backup-simplify]: Simplify -1 into -1 4.571 * [backup-simplify]: Simplify (- 0) into 0 4.571 * [backup-simplify]: Simplify (+ 1 0) into 1 4.572 * [backup-simplify]: Simplify (+ 1 0) into 1 4.572 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.572 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.572 * [backup-simplify]: Simplify (+ 0 0) into 0 4.572 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 4.572 * [taylor]: Taking taylor expansion of 0 in y 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify (- 0) into 0 4.573 * [backup-simplify]: Simplify (+ 0 0) into 0 4.573 * [backup-simplify]: Simplify (+ 0 0) into 0 4.574 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.574 * [backup-simplify]: Simplify (* 1 1) into 1 4.574 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.574 * [backup-simplify]: Simplify (+ 1 0) into 1 4.575 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 4.575 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.575 * [taylor]: Taking taylor expansion of 2 in y 4.575 * [backup-simplify]: Simplify 2 into 2 4.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.575 * [taylor]: Taking taylor expansion of y in y 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (* 1 1) into 1 4.575 * [backup-simplify]: Simplify (/ 1 1) into 1 4.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify (- 0) into 0 4.579 * [backup-simplify]: Simplify (+ 0 0) into 0 4.579 * [backup-simplify]: Simplify (+ 0 0) into 0 4.579 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.581 * [backup-simplify]: Simplify (+ 0 0) into 0 4.581 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 4.581 * [taylor]: Taking taylor expansion of 0 in y 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify -1 into -1 4.581 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 4.581 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 4.582 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.582 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.582 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.582 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.582 * [taylor]: Taking taylor expansion of x in y 4.582 * [backup-simplify]: Simplify x into x 4.582 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.582 * [taylor]: Taking taylor expansion of y in y 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [backup-simplify]: Simplify (/ 1 1) into 1 4.582 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.582 * [taylor]: Taking taylor expansion of y in y 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 1 into 1 4.582 * [backup-simplify]: Simplify (/ 1 1) into 1 4.582 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.582 * [taylor]: Taking taylor expansion of x in y 4.582 * [backup-simplify]: Simplify x into x 4.582 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.583 * [taylor]: Taking taylor expansion of x in y 4.583 * [backup-simplify]: Simplify x into x 4.583 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.583 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.583 * [taylor]: Taking taylor expansion of y in y 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (* 1 1) into 1 4.583 * [backup-simplify]: Simplify (/ 1 1) into 1 4.583 * [backup-simplify]: Simplify (- 1) into -1 4.584 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.584 * [backup-simplify]: Simplify (+ 1 0) into 1 4.584 * [backup-simplify]: Simplify (* -1 1) into -1 4.585 * [backup-simplify]: Simplify (+ 0 1) into 1 4.585 * [backup-simplify]: Simplify (/ -1 1) into -1 4.585 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.585 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.585 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.585 * [taylor]: Taking taylor expansion of x in x 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (/ 1 1) into 1 4.585 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.585 * [taylor]: Taking taylor expansion of y in x 4.585 * [backup-simplify]: Simplify y into y 4.585 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.585 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.585 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.585 * [taylor]: Taking taylor expansion of y in x 4.585 * [backup-simplify]: Simplify y into y 4.585 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.585 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [backup-simplify]: Simplify (/ 1 1) into 1 4.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [backup-simplify]: Simplify (* 1 1) into 1 4.586 * [backup-simplify]: Simplify (/ 1 1) into 1 4.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.586 * [taylor]: Taking taylor expansion of y in x 4.586 * [backup-simplify]: Simplify y into y 4.587 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.587 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.587 * [backup-simplify]: Simplify (+ 1 0) into 1 4.587 * [backup-simplify]: Simplify (+ 0 1) into 1 4.587 * [backup-simplify]: Simplify (* 1 1) into 1 4.588 * [backup-simplify]: Simplify (+ 1 0) into 1 4.588 * [backup-simplify]: Simplify (/ 1 1) into 1 4.588 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.588 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.588 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.588 * [taylor]: Taking taylor expansion of x in x 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (/ 1 1) into 1 4.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.588 * [taylor]: Taking taylor expansion of y in x 4.588 * [backup-simplify]: Simplify y into y 4.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.588 * [taylor]: Taking taylor expansion of y in x 4.589 * [backup-simplify]: Simplify y into y 4.589 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.589 * [taylor]: Taking taylor expansion of x in x 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.589 * [backup-simplify]: Simplify (/ 1 1) into 1 4.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.589 * [taylor]: Taking taylor expansion of x in x 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (* 1 1) into 1 4.590 * [backup-simplify]: Simplify (/ 1 1) into 1 4.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.590 * [taylor]: Taking taylor expansion of y in x 4.590 * [backup-simplify]: Simplify y into y 4.590 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.590 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.591 * [backup-simplify]: Simplify (+ 1 0) into 1 4.591 * [backup-simplify]: Simplify (+ 0 1) into 1 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.592 * [backup-simplify]: Simplify (+ 1 0) into 1 4.592 * [backup-simplify]: Simplify (/ 1 1) into 1 4.593 * [taylor]: Taking taylor expansion of 1 in y 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.593 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.595 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.595 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 4.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ 0 0) into 0 4.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.597 * [taylor]: Taking taylor expansion of 0 in y 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify (+ 0 0) into 0 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.600 * [backup-simplify]: Simplify (- 0) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 4.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.604 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.605 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 4.605 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.605 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.605 * [taylor]: Taking taylor expansion of 2 in y 4.605 * [backup-simplify]: Simplify 2 into 2 4.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.605 * [taylor]: Taking taylor expansion of y in y 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.606 * [backup-simplify]: Simplify (/ 1 1) into 1 4.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.610 * [backup-simplify]: Simplify (- 0) into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.613 * [backup-simplify]: Simplify (- 0) into 0 4.613 * [backup-simplify]: Simplify (+ 0 0) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.616 * [backup-simplify]: Simplify (+ 0 0) into 0 4.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.617 * [taylor]: Taking taylor expansion of 0 in y 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.617 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 4.617 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 4.617 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 4.617 * [taylor]: Taking taylor expansion of -1 in y 4.617 * [backup-simplify]: Simplify -1 into -1 4.617 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.617 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.617 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.617 * [taylor]: Taking taylor expansion of y in y 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ 1 1) into 1 4.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.618 * [taylor]: Taking taylor expansion of x in y 4.618 * [backup-simplify]: Simplify x into x 4.618 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.618 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.618 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.618 * [taylor]: Taking taylor expansion of y in y 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ 1 1) into 1 4.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.618 * [taylor]: Taking taylor expansion of x in y 4.618 * [backup-simplify]: Simplify x into x 4.618 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.618 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.618 * [taylor]: Taking taylor expansion of x in y 4.618 * [backup-simplify]: Simplify x into x 4.618 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.618 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.618 * [taylor]: Taking taylor expansion of y in y 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.619 * [backup-simplify]: Simplify (* 1 1) into 1 4.619 * [backup-simplify]: Simplify (/ 1 1) into 1 4.619 * [backup-simplify]: Simplify (+ 1 0) into 1 4.619 * [backup-simplify]: Simplify (+ 1 0) into 1 4.620 * [backup-simplify]: Simplify (* 1 1) into 1 4.620 * [backup-simplify]: Simplify (+ 0 1) into 1 4.620 * [backup-simplify]: Simplify (/ 1 1) into 1 4.620 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.620 * [taylor]: Taking taylor expansion of -1 in x 4.620 * [backup-simplify]: Simplify -1 into -1 4.620 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.620 * [taylor]: Taking taylor expansion of y in x 4.620 * [backup-simplify]: Simplify y into y 4.620 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.620 * [taylor]: Taking taylor expansion of x in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [backup-simplify]: Simplify (/ 1 1) into 1 4.621 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.621 * [taylor]: Taking taylor expansion of y in x 4.621 * [backup-simplify]: Simplify y into y 4.621 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [backup-simplify]: Simplify (/ 1 1) into 1 4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.621 * [taylor]: Taking taylor expansion of x in x 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (* 1 1) into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.622 * [taylor]: Taking taylor expansion of y in x 4.622 * [backup-simplify]: Simplify y into y 4.622 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.622 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.622 * [backup-simplify]: Simplify (+ 0 1) into 1 4.623 * [backup-simplify]: Simplify (- 1) into -1 4.623 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.623 * [backup-simplify]: Simplify (* 1 -1) into -1 4.623 * [backup-simplify]: Simplify (+ 1 0) into 1 4.624 * [backup-simplify]: Simplify (/ -1 1) into -1 4.624 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.624 * [taylor]: Taking taylor expansion of -1 in x 4.624 * [backup-simplify]: Simplify -1 into -1 4.624 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.624 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.624 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.624 * [taylor]: Taking taylor expansion of y in x 4.624 * [backup-simplify]: Simplify y into y 4.624 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.624 * [taylor]: Taking taylor expansion of y in x 4.624 * [backup-simplify]: Simplify y into y 4.624 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.624 * [taylor]: Taking taylor expansion of x in x 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.625 * [taylor]: Taking taylor expansion of x in x 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (* 1 1) into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.625 * [taylor]: Taking taylor expansion of y in x 4.625 * [backup-simplify]: Simplify y into y 4.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.626 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.626 * [backup-simplify]: Simplify (+ 0 1) into 1 4.626 * [backup-simplify]: Simplify (- 1) into -1 4.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.627 * [backup-simplify]: Simplify (* 1 -1) into -1 4.627 * [backup-simplify]: Simplify (+ 1 0) into 1 4.627 * [backup-simplify]: Simplify (/ -1 1) into -1 4.627 * [backup-simplify]: Simplify (* -1 -1) into 1 4.627 * [taylor]: Taking taylor expansion of 1 in y 4.627 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.628 * [backup-simplify]: Simplify (- 0) into 0 4.628 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.629 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.629 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (+ 0 0) into 0 4.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.631 * [taylor]: Taking taylor expansion of 0 in y 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (- 0) into 0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.636 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 4.636 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 4.636 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.636 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.636 * [taylor]: Taking taylor expansion of 2 in y 4.636 * [backup-simplify]: Simplify 2 into 2 4.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.636 * [taylor]: Taking taylor expansion of y in y 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (* 1 1) into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.639 * [backup-simplify]: Simplify (- 0) into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (- 0) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 4.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 4.650 * [taylor]: Taking taylor expansion of 0 in y 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.650 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 4.650 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 4.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.650 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.650 * [taylor]: Taking taylor expansion of x in y 4.650 * [backup-simplify]: Simplify x into x 4.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.650 * [taylor]: Taking taylor expansion of y in y 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 1 into 1 4.650 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.650 * [taylor]: Taking taylor expansion of x in x 4.650 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.651 * [taylor]: Taking taylor expansion of y in x 4.651 * [backup-simplify]: Simplify y into y 4.651 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.651 * [taylor]: Taking taylor expansion of x in x 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.651 * [taylor]: Taking taylor expansion of y in x 4.651 * [backup-simplify]: Simplify y into y 4.651 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.651 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.651 * [taylor]: Taking taylor expansion of y in y 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.652 * [taylor]: Taking taylor expansion of 0 in y 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (* 1 1) into 1 4.653 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.653 * [backup-simplify]: Simplify (+ 1 0) into 1 4.653 * [taylor]: Taking taylor expansion of 1 in y 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (* 1 1) into 1 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.656 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [taylor]: Taking taylor expansion of 0 in y 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.658 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.658 * [backup-simplify]: Simplify (+ 0 0) into 0 4.658 * [taylor]: Taking taylor expansion of 0 in y 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 4.659 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.659 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.659 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.659 * [taylor]: Taking taylor expansion of x in y 4.659 * [backup-simplify]: Simplify x into x 4.659 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.659 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.659 * [taylor]: Taking taylor expansion of y in y 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [backup-simplify]: Simplify (* 1 1) into 1 4.660 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.660 * [taylor]: Taking taylor expansion of x in x 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (* 1 1) into 1 4.660 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.660 * [taylor]: Taking taylor expansion of y in x 4.660 * [backup-simplify]: Simplify y into y 4.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.661 * [taylor]: Taking taylor expansion of x in x 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.661 * [backup-simplify]: Simplify (* 1 1) into 1 4.661 * [backup-simplify]: Simplify (/ 1 1) into 1 4.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.661 * [taylor]: Taking taylor expansion of y in x 4.661 * [backup-simplify]: Simplify y into y 4.661 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.661 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.662 * [backup-simplify]: Simplify (+ 1 0) into 1 4.662 * [taylor]: Taking taylor expansion of 1 in y 4.662 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ 0 0) into 0 4.663 * [taylor]: Taking taylor expansion of 0 in y 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.664 * [taylor]: Taking taylor expansion of y in y 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 1 into 1 4.664 * [backup-simplify]: Simplify (* 1 1) into 1 4.665 * [backup-simplify]: Simplify (/ 1 1) into 1 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [taylor]: Taking taylor expansion of 0 in y 4.666 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.669 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [taylor]: Taking taylor expansion of 0 in y 4.669 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.676 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.676 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.676 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.676 * [taylor]: Taking taylor expansion of x in y 4.676 * [backup-simplify]: Simplify x into x 4.676 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.676 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.676 * [taylor]: Taking taylor expansion of y in y 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (* 1 1) into 1 4.677 * [backup-simplify]: Simplify (/ 1 1) into 1 4.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.677 * [taylor]: Taking taylor expansion of x in x 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (* 1 1) into 1 4.678 * [backup-simplify]: Simplify (/ 1 1) into 1 4.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.678 * [taylor]: Taking taylor expansion of y in x 4.678 * [backup-simplify]: Simplify y into y 4.678 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.678 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify (* 1 1) into 1 4.679 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.679 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.679 * [taylor]: Taking taylor expansion of y in x 4.679 * [backup-simplify]: Simplify y into y 4.679 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.679 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.679 * [backup-simplify]: Simplify (+ 1 0) into 1 4.679 * [taylor]: Taking taylor expansion of 1 in y 4.679 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ 0 0) into 0 4.680 * [taylor]: Taking taylor expansion of 0 in y 4.680 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.681 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.682 * [taylor]: Taking taylor expansion of y in y 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (* 1 1) into 1 4.682 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.684 * [backup-simplify]: Simplify (+ 0 0) into 0 4.684 * [taylor]: Taking taylor expansion of 0 in y 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.687 * [backup-simplify]: Simplify (+ 0 0) into 0 4.687 * [taylor]: Taking taylor expansion of 0 in y 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.688 * * * [progress]: simplifying candidates 4.690 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 4.692 * * [simplify]: Extracting # 0 : cost 0 4.692 * * [simplify]: Extracting # 1 : cost 0 4.692 * * [simplify]: Extracting # 2 : cost 0 4.692 * * [simplify]: Extracting # 3 : cost 0 4.693 * * [simplify]: Extracting # 4 : cost 0 4.693 * * [simplify]: Extracting # 5 : cost 0 4.693 * * [simplify]: Extracting # 6 : cost 0 4.693 * * [simplify]: Extracting # 7 : cost 0 4.694 * * [simplify]: iteration 0 : 91 enodes (cost 826 ) 4.724 * * [simplify]: Extracting # 0 : cost 0 4.724 * * [simplify]: Extracting # 1 : cost 0 4.725 * * [simplify]: Extracting # 2 : cost 0 4.725 * * [simplify]: Extracting # 3 : cost 0 4.725 * * [simplify]: Extracting # 4 : cost 0 4.726 * * [simplify]: iteration 1 : 303 enodes (cost 802 ) 4.958 * * [simplify]: Extracting # 0 : cost 0 4.959 * * [simplify]: Extracting # 1 : cost 0 4.961 * * [simplify]: Extracting # 2 : cost 0 4.963 * * [simplify]: Extracting # 3 : cost 0 4.964 * * [simplify]: Extracting # 4 : cost 0 4.973 * * [simplify]: Extracting # 5 : cost 0 4.976 * * [simplify]: iteration 2 : 1443 enodes (cost 662 ) 5.641 * * [simplify]: Extracting # 0 : cost 0 5.646 * * [simplify]: Extracting # 1 : cost 0 5.653 * * [simplify]: Extracting # 2 : cost 0 5.659 * * [simplify]: Extracting # 3 : cost 0 5.666 * * [simplify]: Extracting # 4 : cost 0 5.679 * * [simplify]: iteration done: 5000 enodes (cost 655 ) 5.680 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (- y x) (+ x y)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (+ x y) (- x y)) (+ (pow x 6) (pow y 6))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y (+ x y)))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (* y (+ x y))))) (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* y (- y x)) (* x x))) (- (pow x 4) (pow y 4)) (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow x 6) (pow y 6)) (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y))) (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)) -1 1 1 (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) 5.680 * * * [progress]: adding candidates to table 5.824 * * [progress]: iteration 2 / 4 5.824 * * * [progress]: picking best candidate 5.833 * * * * [pick]: Picked # 5.833 * * * [progress]: localizing error 5.856 * * * [progress]: generating rewritten candidates 5.856 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 5.910 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 5.982 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 6.008 * * * [progress]: generating series expansions 6.008 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 6.008 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) into (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) 6.008 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0 6.008 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 6.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.008 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.008 * [taylor]: Taking taylor expansion of x in y 6.008 * [backup-simplify]: Simplify x into x 6.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.008 * [taylor]: Taking taylor expansion of y in y 6.008 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify 1 into 1 6.008 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 6.008 * [taylor]: Taking taylor expansion of (+ x y) in y 6.009 * [taylor]: Taking taylor expansion of x in y 6.009 * [backup-simplify]: Simplify x into x 6.009 * [taylor]: Taking taylor expansion of y in y 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [taylor]: Taking taylor expansion of (- x y) in y 6.009 * [taylor]: Taking taylor expansion of x in y 6.009 * [backup-simplify]: Simplify x into x 6.009 * [taylor]: Taking taylor expansion of y in y 6.009 * [backup-simplify]: Simplify 0 into 0 6.009 * [backup-simplify]: Simplify 1 into 1 6.009 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.009 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.009 * [backup-simplify]: Simplify (+ x 0) into x 6.010 * [backup-simplify]: Simplify (- 0) into 0 6.010 * [backup-simplify]: Simplify (+ x 0) into x 6.010 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.010 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.010 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 6.010 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.010 * [taylor]: Taking taylor expansion of x in x 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 1 into 1 6.010 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.010 * [taylor]: Taking taylor expansion of y in x 6.011 * [backup-simplify]: Simplify y into y 6.011 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.011 * [taylor]: Taking taylor expansion of (+ x y) in x 6.011 * [taylor]: Taking taylor expansion of x in x 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [taylor]: Taking taylor expansion of y in x 6.011 * [backup-simplify]: Simplify y into y 6.011 * [taylor]: Taking taylor expansion of (- x y) in x 6.011 * [taylor]: Taking taylor expansion of x in x 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [taylor]: Taking taylor expansion of y in x 6.011 * [backup-simplify]: Simplify y into y 6.011 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.011 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.011 * [backup-simplify]: Simplify (+ 0 y) into y 6.011 * [backup-simplify]: Simplify (- y) into (- y) 6.011 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.011 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.011 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 6.011 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 6.011 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.012 * [taylor]: Taking taylor expansion of x in x 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.012 * [taylor]: Taking taylor expansion of y in x 6.012 * [backup-simplify]: Simplify y into y 6.012 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.012 * [taylor]: Taking taylor expansion of (+ x y) in x 6.012 * [taylor]: Taking taylor expansion of x in x 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.012 * [taylor]: Taking taylor expansion of y in x 6.012 * [backup-simplify]: Simplify y into y 6.012 * [taylor]: Taking taylor expansion of (- x y) in x 6.012 * [taylor]: Taking taylor expansion of x in x 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.012 * [taylor]: Taking taylor expansion of y in x 6.012 * [backup-simplify]: Simplify y into y 6.012 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.012 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.012 * [backup-simplify]: Simplify (+ 0 y) into y 6.012 * [backup-simplify]: Simplify (- y) into (- y) 6.012 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.012 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.013 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 6.013 * [taylor]: Taking taylor expansion of -1 in y 6.013 * [backup-simplify]: Simplify -1 into -1 6.013 * [backup-simplify]: Simplify -1 into -1 6.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.013 * [backup-simplify]: Simplify (+ 0 0) into 0 6.014 * [backup-simplify]: Simplify (- 0) into 0 6.014 * [backup-simplify]: Simplify (+ 1 0) into 1 6.014 * [backup-simplify]: Simplify (+ 1 0) into 1 6.014 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 6.015 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0 6.015 * [taylor]: Taking taylor expansion of 0 in y 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify 0 into 0 6.015 * [backup-simplify]: Simplify (* 1 1) into 1 6.016 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.016 * [backup-simplify]: Simplify (+ 1 0) into 1 6.016 * [backup-simplify]: Simplify (- 0) into 0 6.017 * [backup-simplify]: Simplify (+ 0 0) into 0 6.017 * [backup-simplify]: Simplify (+ 0 0) into 0 6.018 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 6.018 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* -1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2)))) 6.018 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.018 * [taylor]: Taking taylor expansion of 2 in y 6.018 * [backup-simplify]: Simplify 2 into 2 6.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.018 * [taylor]: Taking taylor expansion of y in y 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify (* 1 1) into 1 6.019 * [backup-simplify]: Simplify (/ 1 1) into 1 6.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.025 * [backup-simplify]: Simplify (+ 0 0) into 0 6.026 * [backup-simplify]: Simplify (- 0) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 6.028 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (* -1 (pow y 2)))))) into 0 6.028 * [taylor]: Taking taylor expansion of 0 in y 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify -1 into -1 6.029 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) 6.029 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.029 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 6.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.029 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.029 * [taylor]: Taking taylor expansion of x in y 6.029 * [backup-simplify]: Simplify x into x 6.029 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.029 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.029 * [taylor]: Taking taylor expansion of y in y 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 1 into 1 6.030 * [backup-simplify]: Simplify (* 1 1) into 1 6.030 * [backup-simplify]: Simplify (/ 1 1) into 1 6.030 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 6.030 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 6.030 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.030 * [taylor]: Taking taylor expansion of x in y 6.030 * [backup-simplify]: Simplify x into x 6.030 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.031 * [taylor]: Taking taylor expansion of y in y 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (/ 1 1) into 1 6.031 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.031 * [taylor]: Taking taylor expansion of y in y 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify (/ 1 1) into 1 6.031 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.031 * [taylor]: Taking taylor expansion of x in y 6.032 * [backup-simplify]: Simplify x into x 6.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.032 * [backup-simplify]: Simplify (+ 0 1) into 1 6.032 * [backup-simplify]: Simplify (- 1) into -1 6.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.034 * [backup-simplify]: Simplify (+ 1 0) into 1 6.034 * [backup-simplify]: Simplify (* -1 1) into -1 6.035 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 6.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.035 * [taylor]: Taking taylor expansion of x in x 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [backup-simplify]: Simplify (* 1 1) into 1 6.036 * [backup-simplify]: Simplify (/ 1 1) into 1 6.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.036 * [taylor]: Taking taylor expansion of y in x 6.036 * [backup-simplify]: Simplify y into y 6.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.036 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.036 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.036 * [taylor]: Taking taylor expansion of x in x 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (/ 1 1) into 1 6.037 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.037 * [taylor]: Taking taylor expansion of y in x 6.037 * [backup-simplify]: Simplify y into y 6.037 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.037 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.037 * [taylor]: Taking taylor expansion of y in x 6.037 * [backup-simplify]: Simplify y into y 6.037 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.037 * [taylor]: Taking taylor expansion of x in x 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (/ 1 1) into 1 6.038 * [backup-simplify]: Simplify (+ 1 0) into 1 6.038 * [backup-simplify]: Simplify (+ 1 0) into 1 6.039 * [backup-simplify]: Simplify (+ 0 1) into 1 6.039 * [backup-simplify]: Simplify (* 1 1) into 1 6.040 * [backup-simplify]: Simplify (/ 1 1) into 1 6.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 6.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.040 * [taylor]: Taking taylor expansion of x in x 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (* 1 1) into 1 6.041 * [backup-simplify]: Simplify (/ 1 1) into 1 6.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.041 * [taylor]: Taking taylor expansion of y in x 6.041 * [backup-simplify]: Simplify y into y 6.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.041 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.041 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.041 * [taylor]: Taking taylor expansion of x in x 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (/ 1 1) into 1 6.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.042 * [taylor]: Taking taylor expansion of y in x 6.042 * [backup-simplify]: Simplify y into y 6.042 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.042 * [taylor]: Taking taylor expansion of y in x 6.042 * [backup-simplify]: Simplify y into y 6.042 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.042 * [taylor]: Taking taylor expansion of x in x 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (/ 1 1) into 1 6.043 * [backup-simplify]: Simplify (+ 1 0) into 1 6.044 * [backup-simplify]: Simplify (+ 1 0) into 1 6.044 * [backup-simplify]: Simplify (+ 0 1) into 1 6.045 * [backup-simplify]: Simplify (* 1 1) into 1 6.045 * [backup-simplify]: Simplify (/ 1 1) into 1 6.045 * [taylor]: Taking taylor expansion of 1 in y 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.048 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.049 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.050 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 6.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.050 * [taylor]: Taking taylor expansion of 0 in y 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.056 * [backup-simplify]: Simplify (- 0) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 6.058 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 6.058 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.058 * [taylor]: Taking taylor expansion of 2 in y 6.058 * [backup-simplify]: Simplify 2 into 2 6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.059 * [taylor]: Taking taylor expansion of y in y 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [backup-simplify]: Simplify (* 1 1) into 1 6.059 * [backup-simplify]: Simplify (/ 1 1) into 1 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.070 * [backup-simplify]: Simplify (- 0) into 0 6.070 * [backup-simplify]: Simplify (+ 0 0) into 0 6.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.073 * [taylor]: Taking taylor expansion of 0 in y 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 6.074 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 6.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 6.074 * [taylor]: Taking taylor expansion of -1 in y 6.074 * [backup-simplify]: Simplify -1 into -1 6.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 6.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.074 * [taylor]: Taking taylor expansion of x in y 6.074 * [backup-simplify]: Simplify x into x 6.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.075 * [taylor]: Taking taylor expansion of y in y 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (* 1 1) into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 6.076 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.076 * [taylor]: Taking taylor expansion of y in y 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.076 * [taylor]: Taking taylor expansion of x in y 6.076 * [backup-simplify]: Simplify x into x 6.076 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.076 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 6.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.076 * [taylor]: Taking taylor expansion of y in y 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (/ 1 1) into 1 6.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.077 * [taylor]: Taking taylor expansion of x in y 6.077 * [backup-simplify]: Simplify x into x 6.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.077 * [backup-simplify]: Simplify (+ 0 1) into 1 6.078 * [backup-simplify]: Simplify (+ 1 0) into 1 6.078 * [backup-simplify]: Simplify (+ 1 0) into 1 6.079 * [backup-simplify]: Simplify (* 1 1) into 1 6.079 * [backup-simplify]: Simplify (/ 1 1) into 1 6.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 6.079 * [taylor]: Taking taylor expansion of -1 in x 6.079 * [backup-simplify]: Simplify -1 into -1 6.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 6.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.079 * [taylor]: Taking taylor expansion of x in x 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (* 1 1) into 1 6.080 * [backup-simplify]: Simplify (/ 1 1) into 1 6.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.080 * [taylor]: Taking taylor expansion of y in x 6.080 * [backup-simplify]: Simplify y into y 6.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.081 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.081 * [taylor]: Taking taylor expansion of y in x 6.081 * [backup-simplify]: Simplify y into y 6.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.081 * [taylor]: Taking taylor expansion of x in x 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (/ 1 1) into 1 6.081 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.081 * [taylor]: Taking taylor expansion of y in x 6.081 * [backup-simplify]: Simplify y into y 6.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.082 * [taylor]: Taking taylor expansion of x in x 6.082 * [backup-simplify]: Simplify 0 into 0 6.082 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (/ 1 1) into 1 6.082 * [backup-simplify]: Simplify (+ 1 0) into 1 6.083 * [backup-simplify]: Simplify (+ 0 1) into 1 6.084 * [backup-simplify]: Simplify (- 1) into -1 6.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.084 * [backup-simplify]: Simplify (* 1 -1) into -1 6.085 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.085 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 6.085 * [taylor]: Taking taylor expansion of -1 in x 6.085 * [backup-simplify]: Simplify -1 into -1 6.085 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.085 * [taylor]: Taking taylor expansion of x in x 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (/ 1 1) into 1 6.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.086 * [taylor]: Taking taylor expansion of y in x 6.086 * [backup-simplify]: Simplify y into y 6.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.086 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.086 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.086 * [taylor]: Taking taylor expansion of y in x 6.086 * [backup-simplify]: Simplify y into y 6.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.087 * [taylor]: Taking taylor expansion of x in x 6.087 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify 1 into 1 6.092 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.093 * [taylor]: Taking taylor expansion of y in x 6.093 * [backup-simplify]: Simplify y into y 6.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.093 * [taylor]: Taking taylor expansion of x in x 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (/ 1 1) into 1 6.094 * [backup-simplify]: Simplify (+ 1 0) into 1 6.095 * [backup-simplify]: Simplify (+ 0 1) into 1 6.095 * [backup-simplify]: Simplify (- 1) into -1 6.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.096 * [backup-simplify]: Simplify (* 1 -1) into -1 6.096 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.097 * [backup-simplify]: Simplify (* -1 -1) into 1 6.097 * [taylor]: Taking taylor expansion of 1 in y 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (+ 0 0) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.101 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.101 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 6.102 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 6.102 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.102 * [taylor]: Taking taylor expansion of 0 in y 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.105 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.106 * [backup-simplify]: Simplify (- 0) into 0 6.106 * [backup-simplify]: Simplify (+ 0 0) into 0 6.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ 0 0) into 0 6.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 6.110 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2)))) 6.111 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 6.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.111 * [taylor]: Taking taylor expansion of 2 in y 6.111 * [backup-simplify]: Simplify 2 into 2 6.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.111 * [taylor]: Taking taylor expansion of y in y 6.111 * [backup-simplify]: Simplify 0 into 0 6.111 * [backup-simplify]: Simplify 1 into 1 6.111 * [backup-simplify]: Simplify (* 1 1) into 1 6.112 * [backup-simplify]: Simplify (/ 1 1) into 1 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.120 * [backup-simplify]: Simplify (- 0) into 0 6.121 * [backup-simplify]: Simplify (+ 0 0) into 0 6.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.122 * [backup-simplify]: Simplify (+ 0 0) into 0 6.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 6.125 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0 6.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0 6.126 * [taylor]: Taking taylor expansion of 0 in y 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.127 * * * * [progress]: [ 2 / 3 ] generating series at (2) 6.127 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 6.127 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 6.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 6.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 6.127 * [taylor]: Taking taylor expansion of (+ x y) in y 6.127 * [taylor]: Taking taylor expansion of x in y 6.127 * [backup-simplify]: Simplify x into x 6.127 * [taylor]: Taking taylor expansion of y in y 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 1 into 1 6.127 * [taylor]: Taking taylor expansion of (- x y) in y 6.127 * [taylor]: Taking taylor expansion of x in y 6.127 * [backup-simplify]: Simplify x into x 6.127 * [taylor]: Taking taylor expansion of y in y 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 1 into 1 6.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.128 * [taylor]: Taking taylor expansion of x in y 6.128 * [backup-simplify]: Simplify x into x 6.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.128 * [taylor]: Taking taylor expansion of y in y 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (+ x 0) into x 6.128 * [backup-simplify]: Simplify (- 0) into 0 6.128 * [backup-simplify]: Simplify (+ x 0) into x 6.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.128 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.128 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.129 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.129 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 6.129 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.129 * [taylor]: Taking taylor expansion of (+ x y) in x 6.129 * [taylor]: Taking taylor expansion of x in x 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [taylor]: Taking taylor expansion of y in x 6.129 * [backup-simplify]: Simplify y into y 6.129 * [taylor]: Taking taylor expansion of (- x y) in x 6.129 * [taylor]: Taking taylor expansion of x in x 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [taylor]: Taking taylor expansion of y in x 6.129 * [backup-simplify]: Simplify y into y 6.129 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.129 * [taylor]: Taking taylor expansion of x in x 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.129 * [taylor]: Taking taylor expansion of y in x 6.129 * [backup-simplify]: Simplify y into y 6.129 * [backup-simplify]: Simplify (+ 0 y) into y 6.129 * [backup-simplify]: Simplify (- y) into (- y) 6.130 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.130 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.130 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.130 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 6.130 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 6.130 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.130 * [taylor]: Taking taylor expansion of (+ x y) in x 6.130 * [taylor]: Taking taylor expansion of x in x 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [taylor]: Taking taylor expansion of y in x 6.130 * [backup-simplify]: Simplify y into y 6.130 * [taylor]: Taking taylor expansion of (- x y) in x 6.130 * [taylor]: Taking taylor expansion of x in x 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [taylor]: Taking taylor expansion of y in x 6.130 * [backup-simplify]: Simplify y into y 6.130 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.131 * [taylor]: Taking taylor expansion of x in x 6.131 * [backup-simplify]: Simplify 0 into 0 6.131 * [backup-simplify]: Simplify 1 into 1 6.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.131 * [taylor]: Taking taylor expansion of y in x 6.131 * [backup-simplify]: Simplify y into y 6.131 * [backup-simplify]: Simplify (+ 0 y) into y 6.131 * [backup-simplify]: Simplify (- y) into (- y) 6.131 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.131 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.131 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.131 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.131 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 6.131 * [taylor]: Taking taylor expansion of -1 in y 6.132 * [backup-simplify]: Simplify -1 into -1 6.132 * [backup-simplify]: Simplify -1 into -1 6.132 * [backup-simplify]: Simplify (- 0) into 0 6.132 * [backup-simplify]: Simplify (+ 1 0) into 1 6.133 * [backup-simplify]: Simplify (+ 1 0) into 1 6.133 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 6.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.134 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 6.134 * [taylor]: Taking taylor expansion of 0 in y 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (- 0) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 6.136 * [backup-simplify]: Simplify (* 1 1) into 1 6.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.137 * [backup-simplify]: Simplify (+ 1 0) into 1 6.138 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 6.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.138 * [taylor]: Taking taylor expansion of 2 in y 6.138 * [backup-simplify]: Simplify 2 into 2 6.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.138 * [taylor]: Taking taylor expansion of y in y 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [backup-simplify]: Simplify (* 1 1) into 1 6.139 * [backup-simplify]: Simplify (/ 1 1) into 1 6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify (- 0) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.146 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.147 * [backup-simplify]: Simplify (+ 0 0) into 0 6.148 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 6.148 * [taylor]: Taking taylor expansion of 0 in y 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify -1 into -1 6.148 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 6.148 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 6.148 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.148 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 6.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 6.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.149 * [taylor]: Taking taylor expansion of x in y 6.149 * [backup-simplify]: Simplify x into x 6.149 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.149 * [taylor]: Taking taylor expansion of y in y 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify (/ 1 1) into 1 6.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.149 * [taylor]: Taking taylor expansion of y in y 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.150 * [taylor]: Taking taylor expansion of x in y 6.150 * [backup-simplify]: Simplify x into x 6.150 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.150 * [taylor]: Taking taylor expansion of x in y 6.150 * [backup-simplify]: Simplify x into x 6.150 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.150 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.150 * [taylor]: Taking taylor expansion of y in y 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.151 * [backup-simplify]: Simplify (* 1 1) into 1 6.151 * [backup-simplify]: Simplify (/ 1 1) into 1 6.152 * [backup-simplify]: Simplify (- 1) into -1 6.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.152 * [backup-simplify]: Simplify (+ 1 0) into 1 6.153 * [backup-simplify]: Simplify (* -1 1) into -1 6.153 * [backup-simplify]: Simplify (+ 0 1) into 1 6.154 * [backup-simplify]: Simplify (/ -1 1) into -1 6.154 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.154 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.154 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.154 * [taylor]: Taking taylor expansion of x in x 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 1 into 1 6.154 * [backup-simplify]: Simplify (/ 1 1) into 1 6.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.154 * [taylor]: Taking taylor expansion of y in x 6.154 * [backup-simplify]: Simplify y into y 6.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.154 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.154 * [taylor]: Taking taylor expansion of y in x 6.154 * [backup-simplify]: Simplify y into y 6.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.155 * [taylor]: Taking taylor expansion of x in x 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (/ 1 1) into 1 6.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.155 * [taylor]: Taking taylor expansion of x in x 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (* 1 1) into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.156 * [taylor]: Taking taylor expansion of y in x 6.156 * [backup-simplify]: Simplify y into y 6.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.157 * [backup-simplify]: Simplify (+ 1 0) into 1 6.157 * [backup-simplify]: Simplify (+ 0 1) into 1 6.158 * [backup-simplify]: Simplify (* 1 1) into 1 6.158 * [backup-simplify]: Simplify (+ 1 0) into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.159 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.159 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.159 * [taylor]: Taking taylor expansion of x in x 6.159 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (/ 1 1) into 1 6.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.159 * [taylor]: Taking taylor expansion of y in x 6.159 * [backup-simplify]: Simplify y into y 6.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.159 * [taylor]: Taking taylor expansion of y in x 6.159 * [backup-simplify]: Simplify y into y 6.159 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.159 * [taylor]: Taking taylor expansion of x in x 6.159 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify (/ 1 1) into 1 6.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.160 * [taylor]: Taking taylor expansion of x in x 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify 1 into 1 6.160 * [backup-simplify]: Simplify (* 1 1) into 1 6.161 * [backup-simplify]: Simplify (/ 1 1) into 1 6.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.161 * [taylor]: Taking taylor expansion of y in x 6.161 * [backup-simplify]: Simplify y into y 6.161 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.161 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.162 * [backup-simplify]: Simplify (+ 1 0) into 1 6.162 * [backup-simplify]: Simplify (+ 0 1) into 1 6.162 * [backup-simplify]: Simplify (* 1 1) into 1 6.163 * [backup-simplify]: Simplify (+ 1 0) into 1 6.163 * [backup-simplify]: Simplify (/ 1 1) into 1 6.163 * [taylor]: Taking taylor expansion of 1 in y 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.165 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.166 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 6.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify (+ 0 0) into 0 6.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.168 * [taylor]: Taking taylor expansion of 0 in y 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.170 * [backup-simplify]: Simplify (+ 0 0) into 0 6.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.171 * [backup-simplify]: Simplify (- 0) into 0 6.172 * [backup-simplify]: Simplify (+ 0 0) into 0 6.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 6.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.176 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 6.176 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.176 * [taylor]: Taking taylor expansion of 2 in y 6.176 * [backup-simplify]: Simplify 2 into 2 6.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.176 * [taylor]: Taking taylor expansion of y in y 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify (* 1 1) into 1 6.177 * [backup-simplify]: Simplify (/ 1 1) into 1 6.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.182 * [backup-simplify]: Simplify (- 0) into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.183 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.185 * [backup-simplify]: Simplify (- 0) into 0 6.185 * [backup-simplify]: Simplify (+ 0 0) into 0 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.189 * [backup-simplify]: Simplify (+ 0 0) into 0 6.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.191 * [taylor]: Taking taylor expansion of 0 in y 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.192 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 6.192 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 6.192 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 6.192 * [taylor]: Taking taylor expansion of -1 in y 6.192 * [backup-simplify]: Simplify -1 into -1 6.192 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 6.192 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 6.192 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.192 * [taylor]: Taking taylor expansion of y in y 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 1 into 1 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.193 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.193 * [taylor]: Taking taylor expansion of x in y 6.193 * [backup-simplify]: Simplify x into x 6.193 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.193 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 6.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.193 * [taylor]: Taking taylor expansion of y in y 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 1 into 1 6.194 * [backup-simplify]: Simplify (/ 1 1) into 1 6.194 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.194 * [taylor]: Taking taylor expansion of x in y 6.194 * [backup-simplify]: Simplify x into x 6.194 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.194 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.194 * [taylor]: Taking taylor expansion of x in y 6.194 * [backup-simplify]: Simplify x into x 6.194 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.194 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.194 * [taylor]: Taking taylor expansion of y in y 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (* 1 1) into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.196 * [backup-simplify]: Simplify (+ 1 0) into 1 6.196 * [backup-simplify]: Simplify (+ 1 0) into 1 6.196 * [backup-simplify]: Simplify (* 1 1) into 1 6.197 * [backup-simplify]: Simplify (+ 0 1) into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.197 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 6.197 * [taylor]: Taking taylor expansion of -1 in x 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.197 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.197 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.198 * [taylor]: Taking taylor expansion of y in x 6.198 * [backup-simplify]: Simplify y into y 6.198 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.198 * [taylor]: Taking taylor expansion of x in x 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.198 * [taylor]: Taking taylor expansion of y in x 6.198 * [backup-simplify]: Simplify y into y 6.198 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.198 * [taylor]: Taking taylor expansion of x in x 6.198 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify (/ 1 1) into 1 6.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.199 * [taylor]: Taking taylor expansion of x in x 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 1 into 1 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.200 * [backup-simplify]: Simplify (/ 1 1) into 1 6.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.200 * [taylor]: Taking taylor expansion of y in x 6.200 * [backup-simplify]: Simplify y into y 6.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.201 * [backup-simplify]: Simplify (+ 0 1) into 1 6.201 * [backup-simplify]: Simplify (- 1) into -1 6.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.202 * [backup-simplify]: Simplify (* 1 -1) into -1 6.202 * [backup-simplify]: Simplify (+ 1 0) into 1 6.203 * [backup-simplify]: Simplify (/ -1 1) into -1 6.203 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 6.203 * [taylor]: Taking taylor expansion of -1 in x 6.203 * [backup-simplify]: Simplify -1 into -1 6.203 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 6.203 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.203 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.203 * [taylor]: Taking taylor expansion of y in x 6.203 * [backup-simplify]: Simplify y into y 6.203 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.203 * [taylor]: Taking taylor expansion of x in x 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.204 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.204 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.204 * [taylor]: Taking taylor expansion of y in x 6.204 * [backup-simplify]: Simplify y into y 6.204 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.204 * [taylor]: Taking taylor expansion of x in x 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.205 * [taylor]: Taking taylor expansion of x in x 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (* 1 1) into 1 6.206 * [backup-simplify]: Simplify (/ 1 1) into 1 6.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.206 * [taylor]: Taking taylor expansion of y in x 6.206 * [backup-simplify]: Simplify y into y 6.206 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.206 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.206 * [backup-simplify]: Simplify (+ 0 1) into 1 6.207 * [backup-simplify]: Simplify (- 1) into -1 6.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.208 * [backup-simplify]: Simplify (* 1 -1) into -1 6.208 * [backup-simplify]: Simplify (+ 1 0) into 1 6.209 * [backup-simplify]: Simplify (/ -1 1) into -1 6.209 * [backup-simplify]: Simplify (* -1 -1) into 1 6.209 * [taylor]: Taking taylor expansion of 1 in y 6.209 * [backup-simplify]: Simplify 1 into 1 6.209 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.210 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.211 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.211 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 6.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.213 * [backup-simplify]: Simplify (+ 0 0) into 0 6.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.215 * [taylor]: Taking taylor expansion of 0 in y 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (- 0) into 0 6.217 * [backup-simplify]: Simplify (+ 0 0) into 0 6.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 0) into 0 6.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 6.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.222 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 6.222 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 6.222 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.222 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.222 * [taylor]: Taking taylor expansion of 2 in y 6.222 * [backup-simplify]: Simplify 2 into 2 6.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.222 * [taylor]: Taking taylor expansion of y in y 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 1 into 1 6.223 * [backup-simplify]: Simplify (* 1 1) into 1 6.223 * [backup-simplify]: Simplify (/ 1 1) into 1 6.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.225 * [backup-simplify]: Simplify (- 0) into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.226 * [backup-simplify]: Simplify (- 0) into 0 6.227 * [backup-simplify]: Simplify (+ 0 0) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.227 * [backup-simplify]: Simplify (+ 0 0) into 0 6.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.229 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.230 * [backup-simplify]: Simplify (+ 0 0) into 0 6.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 6.231 * [taylor]: Taking taylor expansion of 0 in y 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.232 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 6.232 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 6.232 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 6.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 6.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.232 * [taylor]: Taking taylor expansion of x in y 6.232 * [backup-simplify]: Simplify x into x 6.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.232 * [taylor]: Taking taylor expansion of y in y 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.232 * [taylor]: Taking taylor expansion of x in x 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.232 * [taylor]: Taking taylor expansion of y in x 6.232 * [backup-simplify]: Simplify y into y 6.232 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 6.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.232 * [taylor]: Taking taylor expansion of x in x 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.232 * [taylor]: Taking taylor expansion of y in x 6.232 * [backup-simplify]: Simplify y into y 6.232 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.232 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.232 * [taylor]: Taking taylor expansion of y in y 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.233 * [backup-simplify]: Simplify (+ 0 0) into 0 6.233 * [taylor]: Taking taylor expansion of 0 in y 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify (* 1 1) into 1 6.233 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.234 * [backup-simplify]: Simplify (+ 1 0) into 1 6.234 * [taylor]: Taking taylor expansion of 1 in y 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify 0 into 0 6.234 * [backup-simplify]: Simplify (* 1 1) into 1 6.234 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.235 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.235 * [backup-simplify]: Simplify (+ 0 0) into 0 6.235 * [taylor]: Taking taylor expansion of 0 in y 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.241 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.241 * [backup-simplify]: Simplify (+ 0 0) into 0 6.241 * [taylor]: Taking taylor expansion of 0 in y 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 6.242 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.242 * [taylor]: Taking taylor expansion of x in y 6.242 * [backup-simplify]: Simplify x into x 6.242 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.242 * [taylor]: Taking taylor expansion of y in y 6.242 * [backup-simplify]: Simplify 0 into 0 6.242 * [backup-simplify]: Simplify 1 into 1 6.242 * [backup-simplify]: Simplify (* 1 1) into 1 6.243 * [backup-simplify]: Simplify (/ 1 1) into 1 6.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.243 * [taylor]: Taking taylor expansion of x in x 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [backup-simplify]: Simplify (* 1 1) into 1 6.243 * [backup-simplify]: Simplify (/ 1 1) into 1 6.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.243 * [taylor]: Taking taylor expansion of y in x 6.243 * [backup-simplify]: Simplify y into y 6.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.243 * [taylor]: Taking taylor expansion of x in x 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.244 * [backup-simplify]: Simplify (* 1 1) into 1 6.244 * [backup-simplify]: Simplify (/ 1 1) into 1 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.244 * [taylor]: Taking taylor expansion of y in x 6.244 * [backup-simplify]: Simplify y into y 6.244 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.244 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.245 * [backup-simplify]: Simplify (+ 1 0) into 1 6.245 * [taylor]: Taking taylor expansion of 1 in y 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.246 * [backup-simplify]: Simplify (+ 0 0) into 0 6.246 * [taylor]: Taking taylor expansion of 0 in y 6.246 * [backup-simplify]: Simplify 0 into 0 6.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.247 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.247 * [taylor]: Taking taylor expansion of y in y 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 1 into 1 6.247 * [backup-simplify]: Simplify (* 1 1) into 1 6.248 * [backup-simplify]: Simplify (/ 1 1) into 1 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.249 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.250 * [taylor]: Taking taylor expansion of 0 in y 6.250 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.254 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.256 * [backup-simplify]: Simplify (+ 0 0) into 0 6.256 * [taylor]: Taking taylor expansion of 0 in y 6.256 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.258 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 6.259 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 6.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.259 * [taylor]: Taking taylor expansion of x in y 6.259 * [backup-simplify]: Simplify x into x 6.259 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.259 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.259 * [taylor]: Taking taylor expansion of y in y 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (* 1 1) into 1 6.260 * [backup-simplify]: Simplify (/ 1 1) into 1 6.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.260 * [taylor]: Taking taylor expansion of x in x 6.260 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify 1 into 1 6.260 * [backup-simplify]: Simplify (* 1 1) into 1 6.261 * [backup-simplify]: Simplify (/ 1 1) into 1 6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.261 * [taylor]: Taking taylor expansion of y in x 6.261 * [backup-simplify]: Simplify y into y 6.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 6.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.261 * [taylor]: Taking taylor expansion of x in x 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.262 * [backup-simplify]: Simplify (* 1 1) into 1 6.262 * [backup-simplify]: Simplify (/ 1 1) into 1 6.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.262 * [taylor]: Taking taylor expansion of y in x 6.262 * [backup-simplify]: Simplify y into y 6.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.263 * [backup-simplify]: Simplify (+ 1 0) into 1 6.263 * [taylor]: Taking taylor expansion of 1 in y 6.263 * [backup-simplify]: Simplify 1 into 1 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [taylor]: Taking taylor expansion of 0 in y 6.265 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.267 * [taylor]: Taking taylor expansion of y in y 6.267 * [backup-simplify]: Simplify 0 into 0 6.267 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (* 1 1) into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.270 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.271 * [taylor]: Taking taylor expansion of 0 in y 6.271 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [taylor]: Taking taylor expansion of 0 in y 6.276 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.279 * * * [progress]: simplifying candidates 6.284 * [simplify]: Simplifying: (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y)))) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (exp (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y)))) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y)))) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (* (* (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (- (+ (* x x) (* y y))) (- (* (- x y) (+ x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)) (/ 1 (- x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ 1 (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- x y)) (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))) (* (* (- x y) (+ x y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (* (- x y) (+ x y)) (- (* x x) (* y y))) (- 1) (- (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (- (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (- (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (- 0 (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (- 0 (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (- 0 (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (- (log 1) (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (- (log 1) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (- (log 1) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (log (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (exp (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (* (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (* (* (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (- 1) (- (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ (cbrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (cbrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))) (/ (cbrt 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) (/ (cbrt 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- x y))) (/ (cbrt 1) (/ (+ (* x x) (* y y)) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) (* y y))) (/ (cbrt 1) (/ 1 (* (- x y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))) (/ (cbrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (cbrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))) (/ (cbrt 1) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ (cbrt 1) (* (+ x y) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3))))) (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y))))) (/ (cbrt 1) (- x y)) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))) (/ (cbrt 1) (+ (* x x) (+ (* y y) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ (sqrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))) (/ (sqrt 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y))) (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (- x y))) (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y))) (/ (sqrt 1) (/ 1 (- x y))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (sqrt 1) (+ (* x x) (* y y))) (/ (sqrt 1) (/ 1 (* (- x y) (+ x y)))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))) (/ (sqrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (sqrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))) (/ (sqrt 1) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ (sqrt 1) (* (+ x y) (- x y))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3))))) (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y)))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y))))) (/ (sqrt 1) (- x y)) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))) (/ (sqrt 1) (+ (* x x) (+ (* y y) (* x y)))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))) (/ 1 (/ (cbrt (+ (* x x) (* y y))) (+ x y))) (/ 1 (/ (sqrt (+ (* x x) (* y y))) (- x y))) (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ x y))) (/ 1 (/ 1 (- x y))) (/ 1 (/ (+ (* x x) (* y y)) (+ x y))) (/ 1 1) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (+ (* x x) (* y y))) (/ 1 (/ 1 (* (- x y) (+ x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))) (/ 1 (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ 1 (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))) (/ 1 (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ 1 (* (+ x y) (- x y))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3))))) (/ 1 (+ (* x x) (- (* y y) (* x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y))))) (/ 1 (- x y)) (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))) (/ 1 (+ (* x x) (+ (* y y) (* x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))) (/ 1 (+ x y)) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 1) (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))) (/ 1 (/ (sqrt (+ (* x x) (* y y))) (- x y))) (/ 1 (/ 1 (- x y))) (/ 1 1) (/ 1 (+ (* x x) (* y y))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (cbrt 1)) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (sqrt 1)) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 1) (/ 1 (+ (* 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)) -1 1 1 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 6.292 * * [simplify]: Extracting # 0 : cost 0 6.293 * * [simplify]: Extracting # 1 : cost 0 6.293 * * [simplify]: Extracting # 2 : cost 0 6.294 * * [simplify]: Extracting # 3 : cost 0 6.294 * * [simplify]: Extracting # 4 : cost 0 6.295 * * [simplify]: Extracting # 5 : cost 0 6.295 * * [simplify]: Extracting # 6 : cost 0 6.296 * * [simplify]: Extracting # 7 : cost 0 6.297 * * [simplify]: iteration 0 : 220 enodes (cost 3376 ) 6.437 * * [simplify]: Extracting # 0 : cost 0 6.439 * * [simplify]: Extracting # 1 : cost 0 6.440 * * [simplify]: Extracting # 2 : cost 0 6.441 * * [simplify]: Extracting # 3 : cost 0 6.442 * * [simplify]: Extracting # 4 : cost 0 6.443 * * [simplify]: iteration 1 : 583 enodes (cost 3136 ) 6.871 * * [simplify]: Extracting # 0 : cost 0 6.877 * * [simplify]: Extracting # 1 : cost 0 6.881 * * [simplify]: Extracting # 2 : cost 0 6.886 * * [simplify]: Extracting # 3 : cost 0 6.891 * * [simplify]: Extracting # 4 : cost 0 6.895 * * [simplify]: Extracting # 5 : cost 0 6.900 * * [simplify]: iteration 2 : 2312 enodes (cost 2794 ) 8.143 * * [simplify]: Extracting # 0 : cost 0 8.162 * * [simplify]: Extracting # 1 : cost 0 8.173 * * [simplify]: Extracting # 2 : cost 0 8.184 * * [simplify]: Extracting # 3 : cost 0 8.192 * * [simplify]: Extracting # 4 : cost 0 8.197 * * [simplify]: iteration done: 5002 enodes (cost 2759 ) 8.198 * [simplify]: Simplified to: (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (exp (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3) (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (- (+ (* x x) (* y y))) (* (- y x) (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)) (/ 1 (- x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ 1 (* (- x y) (+ x y))) (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (- x y)) (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (+ (pow x 3) (pow y 3))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (- (* x x) (* y y))) (/ (/ (+ (* x x) (* y y)) (- x y)) (+ (pow x 3) (pow y 3))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (- x y)) (/ (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))) (+ x y)) (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (* (+ x y) (* (- x y) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))) (* (* (- x y) (- (* x x) (* y y))) (+ x y)) -1 (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (exp (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (* (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))) (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) -1 (- (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) 1 (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (/ 1 (+ (* x x) (* y y))) (- (* x x) (* y y)) (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ (/ 1 (+ (* y (+ x y)) (* x x))) (+ (* x x) (* y (- y x)))) (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y))) (/ (/ 1 (+ (* y (+ x y)) (* x x))) (- x y)) (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (/ (/ 1 (+ x y)) (+ (* x x) (* y (- y x)))) (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (* (- x y) (+ x y))) (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y (- y x)))) (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y))) (/ 1 (- x y)) (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3))) (/ 1 (+ (* y (+ x y)) (* x x))) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ x y)) (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) 1 (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (/ 1 (+ (* x x) (* y y))) (- (* x x) (* y y)) (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ (/ 1 (+ (* y (+ x y)) (* x x))) (+ (* x x) (* y (- y x)))) (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y))) (/ (/ 1 (+ (* y (+ x y)) (* x x))) (- x y)) (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (/ (/ 1 (+ x y)) (+ (* x x) (* y (- y x)))) (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (* (- x y) (+ x y))) (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y (- y x)))) (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y))) (/ 1 (- x y)) (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3))) (/ 1 (+ (* y (+ x y)) (* x x))) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ x y)) (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) 1 (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (/ 1 (+ (* x x) (* y y))) (- (* x x) (* y y)) (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ (/ 1 (+ (* y (+ x y)) (* x x))) (+ (* x x) (* y (- y x)))) (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y))) (/ (/ 1 (+ (* y (+ x y)) (* x x))) (- x y)) (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (/ (/ 1 (+ x y)) (+ (* x x) (* y (- y x)))) (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (* (- x y) (+ x y))) (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y (- y x)))) (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y))) (/ 1 (- x y)) (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3))) (/ 1 (+ (* y (+ x y)) (* x x))) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y))) (/ 1 (+ x y)) (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (- x y) 1 (/ 1 (+ (* x x) (* y y))) (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y))) (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y))) (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3))) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ 1 (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) -1 1 1 -1 1 1 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 8.199 * * * [progress]: adding candidates to table 8.529 * * [progress]: iteration 3 / 4 8.529 * * * [progress]: picking best candidate 8.535 * * * * [pick]: Picked # 8.536 * * * [progress]: localizing error 8.552 * * * [progress]: generating rewritten candidates 8.552 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 8.656 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.722 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.771 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.804 * * * [progress]: generating series expansions 8.804 * * * * [progress]: [ 1 / 4 ] generating series at (2) 8.804 * [backup-simplify]: Simplify (/ (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (* (+ x y) (- x y))) into (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) 8.804 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 8.804 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 8.804 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 8.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.804 * [taylor]: Taking taylor expansion of x in y 8.804 * [backup-simplify]: Simplify x into x 8.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.804 * [taylor]: Taking taylor expansion of y in y 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.804 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.804 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.804 * [taylor]: Taking taylor expansion of x in y 8.804 * [backup-simplify]: Simplify x into x 8.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.804 * [taylor]: Taking taylor expansion of y in y 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.804 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.805 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.805 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.805 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.805 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.805 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 8.805 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.805 * [taylor]: Taking taylor expansion of x in x 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.805 * [taylor]: Taking taylor expansion of y in x 8.805 * [backup-simplify]: Simplify y into y 8.805 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.805 * [taylor]: Taking taylor expansion of x in x 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.805 * [taylor]: Taking taylor expansion of y in x 8.805 * [backup-simplify]: Simplify y into y 8.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.805 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.805 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.806 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.806 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 8.806 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 8.806 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.806 * [taylor]: Taking taylor expansion of x in x 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.806 * [taylor]: Taking taylor expansion of y in x 8.806 * [backup-simplify]: Simplify y into y 8.806 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.806 * [taylor]: Taking taylor expansion of x in x 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.806 * [taylor]: Taking taylor expansion of y in x 8.806 * [backup-simplify]: Simplify y into y 8.806 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.806 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.806 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.806 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.807 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.807 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 8.807 * [taylor]: Taking taylor expansion of -1 in y 8.807 * [backup-simplify]: Simplify -1 into -1 8.807 * [backup-simplify]: Simplify -1 into -1 8.807 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.807 * [backup-simplify]: Simplify (- 0) into 0 8.808 * [backup-simplify]: Simplify (+ 0 0) into 0 8.808 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.808 * [backup-simplify]: Simplify (+ 0 0) into 0 8.808 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 8.808 * [taylor]: Taking taylor expansion of 0 in y 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify (* 1 1) into 1 8.809 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.809 * [backup-simplify]: Simplify (- 0) into 0 8.810 * [backup-simplify]: Simplify (+ 1 0) into 1 8.810 * [backup-simplify]: Simplify (* 1 1) into 1 8.810 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.811 * [backup-simplify]: Simplify (+ 1 0) into 1 8.811 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 8.811 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.811 * [taylor]: Taking taylor expansion of 2 in y 8.811 * [backup-simplify]: Simplify 2 into 2 8.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.811 * [taylor]: Taking taylor expansion of y in y 8.811 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify 1 into 1 8.811 * [backup-simplify]: Simplify (* 1 1) into 1 8.812 * [backup-simplify]: Simplify (/ 1 1) into 1 8.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.815 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.815 * [backup-simplify]: Simplify (- 0) into 0 8.815 * [backup-simplify]: Simplify (+ 0 0) into 0 8.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.816 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.817 * [backup-simplify]: Simplify (+ 0 0) into 0 8.817 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 8.817 * [taylor]: Taking taylor expansion of 0 in y 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify -1 into -1 8.819 * [backup-simplify]: Simplify (/ (/ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))))) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.819 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.819 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.819 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.819 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.819 * [taylor]: Taking taylor expansion of x in y 8.819 * [backup-simplify]: Simplify x into x 8.819 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.819 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.819 * [taylor]: Taking taylor expansion of y in y 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.820 * [backup-simplify]: Simplify (* 1 1) into 1 8.820 * [backup-simplify]: Simplify (/ 1 1) into 1 8.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.820 * [taylor]: Taking taylor expansion of x in y 8.820 * [backup-simplify]: Simplify x into x 8.820 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.820 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.820 * [taylor]: Taking taylor expansion of y in y 8.821 * [backup-simplify]: Simplify 0 into 0 8.821 * [backup-simplify]: Simplify 1 into 1 8.821 * [backup-simplify]: Simplify (* 1 1) into 1 8.821 * [backup-simplify]: Simplify (/ 1 1) into 1 8.822 * [backup-simplify]: Simplify (- 1) into -1 8.822 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.823 * [backup-simplify]: Simplify (+ 0 1) into 1 8.823 * [backup-simplify]: Simplify (/ -1 1) into -1 8.823 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.823 * [taylor]: Taking taylor expansion of x in x 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 1 into 1 8.824 * [backup-simplify]: Simplify (* 1 1) into 1 8.824 * [backup-simplify]: Simplify (/ 1 1) into 1 8.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.824 * [taylor]: Taking taylor expansion of y in x 8.824 * [backup-simplify]: Simplify y into y 8.824 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.824 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.825 * [taylor]: Taking taylor expansion of x in x 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.825 * [backup-simplify]: Simplify (* 1 1) into 1 8.825 * [backup-simplify]: Simplify (/ 1 1) into 1 8.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.825 * [taylor]: Taking taylor expansion of y in x 8.826 * [backup-simplify]: Simplify y into y 8.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.826 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.826 * [backup-simplify]: Simplify (+ 1 0) into 1 8.827 * [backup-simplify]: Simplify (+ 1 0) into 1 8.827 * [backup-simplify]: Simplify (/ 1 1) into 1 8.827 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.827 * [taylor]: Taking taylor expansion of x in x 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 1 into 1 8.828 * [backup-simplify]: Simplify (* 1 1) into 1 8.828 * [backup-simplify]: Simplify (/ 1 1) into 1 8.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.828 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.828 * [taylor]: Taking taylor expansion of y in x 8.828 * [backup-simplify]: Simplify y into y 8.828 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.828 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.828 * [taylor]: Taking taylor expansion of x in x 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 1 into 1 8.829 * [backup-simplify]: Simplify (* 1 1) into 1 8.829 * [backup-simplify]: Simplify (/ 1 1) into 1 8.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.829 * [taylor]: Taking taylor expansion of y in x 8.829 * [backup-simplify]: Simplify y into y 8.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.830 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.830 * [backup-simplify]: Simplify (+ 1 0) into 1 8.830 * [backup-simplify]: Simplify (+ 1 0) into 1 8.831 * [backup-simplify]: Simplify (/ 1 1) into 1 8.831 * [taylor]: Taking taylor expansion of 1 in y 8.831 * [backup-simplify]: Simplify 1 into 1 8.831 * [backup-simplify]: Simplify 1 into 1 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (+ 0 0) into 0 8.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (+ 0 0) into 0 8.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.835 * [taylor]: Taking taylor expansion of 0 in y 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.838 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.838 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.841 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 8.841 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 8.841 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.841 * [taylor]: Taking taylor expansion of 2 in y 8.841 * [backup-simplify]: Simplify 2 into 2 8.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.841 * [taylor]: Taking taylor expansion of y in y 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [backup-simplify]: Simplify (* 1 1) into 1 8.842 * [backup-simplify]: Simplify (/ 1 1) into 1 8.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.844 * [backup-simplify]: Simplify (- 0) into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.846 * [backup-simplify]: Simplify (- 0) into 0 8.846 * [backup-simplify]: Simplify (+ 0 0) into 0 8.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.848 * [backup-simplify]: Simplify (+ 0 0) into 0 8.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 8.849 * [taylor]: Taking taylor expansion of 0 in y 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 1 into 1 8.850 * [backup-simplify]: Simplify (/ (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.850 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.850 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.850 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.850 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.850 * [taylor]: Taking taylor expansion of x in y 8.850 * [backup-simplify]: Simplify x into x 8.850 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.850 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.850 * [taylor]: Taking taylor expansion of y in y 8.850 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify 1 into 1 8.850 * [backup-simplify]: Simplify (* 1 1) into 1 8.851 * [backup-simplify]: Simplify (/ 1 1) into 1 8.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.851 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.851 * [taylor]: Taking taylor expansion of x in y 8.851 * [backup-simplify]: Simplify x into x 8.851 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.851 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.851 * [taylor]: Taking taylor expansion of y in y 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify 1 into 1 8.851 * [backup-simplify]: Simplify (* 1 1) into 1 8.852 * [backup-simplify]: Simplify (/ 1 1) into 1 8.852 * [backup-simplify]: Simplify (- 1) into -1 8.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.852 * [backup-simplify]: Simplify (+ 0 1) into 1 8.853 * [backup-simplify]: Simplify (/ -1 1) into -1 8.853 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.853 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.853 * [taylor]: Taking taylor expansion of x in x 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 1 into 1 8.853 * [backup-simplify]: Simplify (* 1 1) into 1 8.853 * [backup-simplify]: Simplify (/ 1 1) into 1 8.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.853 * [taylor]: Taking taylor expansion of y in x 8.853 * [backup-simplify]: Simplify y into y 8.853 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.853 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.853 * [taylor]: Taking taylor expansion of x in x 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 1 into 1 8.854 * [backup-simplify]: Simplify (* 1 1) into 1 8.854 * [backup-simplify]: Simplify (/ 1 1) into 1 8.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.854 * [taylor]: Taking taylor expansion of y in x 8.854 * [backup-simplify]: Simplify y into y 8.854 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.854 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.854 * [backup-simplify]: Simplify (+ 1 0) into 1 8.855 * [backup-simplify]: Simplify (+ 1 0) into 1 8.855 * [backup-simplify]: Simplify (/ 1 1) into 1 8.855 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.855 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.855 * [taylor]: Taking taylor expansion of x in x 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [backup-simplify]: Simplify (* 1 1) into 1 8.856 * [backup-simplify]: Simplify (/ 1 1) into 1 8.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.856 * [taylor]: Taking taylor expansion of y in x 8.856 * [backup-simplify]: Simplify y into y 8.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.856 * [taylor]: Taking taylor expansion of x in x 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (* 1 1) into 1 8.856 * [backup-simplify]: Simplify (/ 1 1) into 1 8.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.856 * [taylor]: Taking taylor expansion of y in x 8.856 * [backup-simplify]: Simplify y into y 8.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.857 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.857 * [backup-simplify]: Simplify (+ 1 0) into 1 8.857 * [backup-simplify]: Simplify (+ 1 0) into 1 8.857 * [backup-simplify]: Simplify (/ 1 1) into 1 8.857 * [taylor]: Taking taylor expansion of 1 in y 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.858 * [backup-simplify]: Simplify (+ 0 0) into 0 8.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.860 * [backup-simplify]: Simplify (+ 0 0) into 0 8.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.860 * [taylor]: Taking taylor expansion of 0 in y 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.861 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.861 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.862 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.863 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 8.863 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 8.863 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.863 * [taylor]: Taking taylor expansion of 2 in y 8.863 * [backup-simplify]: Simplify 2 into 2 8.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.863 * [taylor]: Taking taylor expansion of y in y 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 1 into 1 8.863 * [backup-simplify]: Simplify (* 1 1) into 1 8.864 * [backup-simplify]: Simplify (/ 1 1) into 1 8.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.866 * [backup-simplify]: Simplify (- 0) into 0 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.867 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.868 * [backup-simplify]: Simplify (- 0) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.869 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.870 * [backup-simplify]: Simplify (+ 0 0) into 0 8.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 8.871 * [taylor]: Taking taylor expansion of 0 in y 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify 1 into 1 8.871 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.871 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) into (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) 8.871 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0 8.871 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 8.871 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.871 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.871 * [taylor]: Taking taylor expansion of x in y 8.871 * [backup-simplify]: Simplify x into x 8.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.871 * [taylor]: Taking taylor expansion of y in y 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 8.872 * [taylor]: Taking taylor expansion of (+ x y) in y 8.872 * [taylor]: Taking taylor expansion of x in y 8.872 * [backup-simplify]: Simplify x into x 8.872 * [taylor]: Taking taylor expansion of y in y 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [taylor]: Taking taylor expansion of (- x y) in y 8.872 * [taylor]: Taking taylor expansion of x in y 8.872 * [backup-simplify]: Simplify x into x 8.872 * [taylor]: Taking taylor expansion of y in y 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 1 into 1 8.872 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.872 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.872 * [backup-simplify]: Simplify (+ x 0) into x 8.872 * [backup-simplify]: Simplify (- 0) into 0 8.872 * [backup-simplify]: Simplify (+ x 0) into x 8.872 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.872 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.872 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 8.872 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.872 * [taylor]: Taking taylor expansion of x in x 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.873 * [taylor]: Taking taylor expansion of y in x 8.873 * [backup-simplify]: Simplify y into y 8.873 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 8.873 * [taylor]: Taking taylor expansion of (+ x y) in x 8.873 * [taylor]: Taking taylor expansion of x in x 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [taylor]: Taking taylor expansion of y in x 8.873 * [backup-simplify]: Simplify y into y 8.873 * [taylor]: Taking taylor expansion of (- x y) in x 8.873 * [taylor]: Taking taylor expansion of x in x 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [taylor]: Taking taylor expansion of y in x 8.873 * [backup-simplify]: Simplify y into y 8.873 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.873 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.873 * [backup-simplify]: Simplify (+ 0 y) into y 8.873 * [backup-simplify]: Simplify (- y) into (- y) 8.873 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.873 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 8.874 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 8.874 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 8.874 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.874 * [taylor]: Taking taylor expansion of x in x 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.874 * [taylor]: Taking taylor expansion of y in x 8.874 * [backup-simplify]: Simplify y into y 8.874 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 8.874 * [taylor]: Taking taylor expansion of (+ x y) in x 8.874 * [taylor]: Taking taylor expansion of x in x 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [taylor]: Taking taylor expansion of y in x 8.874 * [backup-simplify]: Simplify y into y 8.874 * [taylor]: Taking taylor expansion of (- x y) in x 8.874 * [taylor]: Taking taylor expansion of x in x 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [taylor]: Taking taylor expansion of y in x 8.874 * [backup-simplify]: Simplify y into y 8.874 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.874 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.874 * [backup-simplify]: Simplify (+ 0 y) into y 8.875 * [backup-simplify]: Simplify (- y) into (- y) 8.875 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.875 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 8.875 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 8.875 * [taylor]: Taking taylor expansion of -1 in y 8.875 * [backup-simplify]: Simplify -1 into -1 8.875 * [backup-simplify]: Simplify -1 into -1 8.875 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.876 * [backup-simplify]: Simplify (+ 0 0) into 0 8.876 * [backup-simplify]: Simplify (- 0) into 0 8.876 * [backup-simplify]: Simplify (+ 1 0) into 1 8.877 * [backup-simplify]: Simplify (+ 1 0) into 1 8.877 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 8.877 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0 8.877 * [taylor]: Taking taylor expansion of 0 in y 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 0 into 0 8.878 * [backup-simplify]: Simplify (* 1 1) into 1 8.878 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.879 * [backup-simplify]: Simplify (+ 1 0) into 1 8.879 * [backup-simplify]: Simplify (- 0) into 0 8.879 * [backup-simplify]: Simplify (+ 0 0) into 0 8.880 * [backup-simplify]: Simplify (+ 0 0) into 0 8.880 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 8.881 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* -1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2)))) 8.881 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 8.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.881 * [taylor]: Taking taylor expansion of 2 in y 8.881 * [backup-simplify]: Simplify 2 into 2 8.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.881 * [taylor]: Taking taylor expansion of y in y 8.881 * [backup-simplify]: Simplify 0 into 0 8.881 * [backup-simplify]: Simplify 1 into 1 8.881 * [backup-simplify]: Simplify (* 1 1) into 1 8.882 * [backup-simplify]: Simplify (/ 1 1) into 1 8.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.886 * [backup-simplify]: Simplify (- 0) into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify 0 into 0 8.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.888 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.888 * [backup-simplify]: Simplify (+ 0 0) into 0 8.888 * [backup-simplify]: Simplify (- 0) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.890 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 8.891 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (* -1 (pow y 2)))))) into 0 8.891 * [taylor]: Taking taylor expansion of 0 in y 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify -1 into -1 8.892 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) 8.892 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 8.892 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 8.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.892 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.892 * [taylor]: Taking taylor expansion of x in y 8.892 * [backup-simplify]: Simplify x into x 8.892 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.892 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.892 * [taylor]: Taking taylor expansion of y in y 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 1 into 1 8.893 * [backup-simplify]: Simplify (* 1 1) into 1 8.893 * [backup-simplify]: Simplify (/ 1 1) into 1 8.893 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 8.893 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 8.893 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.893 * [taylor]: Taking taylor expansion of x in y 8.893 * [backup-simplify]: Simplify x into x 8.893 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.893 * [taylor]: Taking taylor expansion of y in y 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (/ 1 1) into 1 8.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.894 * [taylor]: Taking taylor expansion of y in y 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (/ 1 1) into 1 8.894 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.894 * [taylor]: Taking taylor expansion of x in y 8.894 * [backup-simplify]: Simplify x into x 8.894 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.895 * [backup-simplify]: Simplify (+ 0 1) into 1 8.895 * [backup-simplify]: Simplify (- 1) into -1 8.895 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.896 * [backup-simplify]: Simplify (+ 1 0) into 1 8.896 * [backup-simplify]: Simplify (* -1 1) into -1 8.897 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.897 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 8.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.897 * [taylor]: Taking taylor expansion of x in x 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 1 into 1 8.897 * [backup-simplify]: Simplify (* 1 1) into 1 8.898 * [backup-simplify]: Simplify (/ 1 1) into 1 8.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.898 * [taylor]: Taking taylor expansion of y in x 8.898 * [backup-simplify]: Simplify y into y 8.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.898 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.898 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 8.898 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 8.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.898 * [taylor]: Taking taylor expansion of x in x 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 1 into 1 8.899 * [backup-simplify]: Simplify (/ 1 1) into 1 8.899 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.899 * [taylor]: Taking taylor expansion of y in x 8.899 * [backup-simplify]: Simplify y into y 8.899 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.899 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.899 * [taylor]: Taking taylor expansion of y in x 8.899 * [backup-simplify]: Simplify y into y 8.899 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.899 * [taylor]: Taking taylor expansion of x in x 8.899 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify 1 into 1 8.900 * [backup-simplify]: Simplify (/ 1 1) into 1 8.900 * [backup-simplify]: Simplify (+ 1 0) into 1 8.900 * [backup-simplify]: Simplify (+ 1 0) into 1 8.901 * [backup-simplify]: Simplify (+ 0 1) into 1 8.901 * [backup-simplify]: Simplify (* 1 1) into 1 8.902 * [backup-simplify]: Simplify (/ 1 1) into 1 8.902 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 8.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.902 * [taylor]: Taking taylor expansion of x in x 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (* 1 1) into 1 8.903 * [backup-simplify]: Simplify (/ 1 1) into 1 8.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.903 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.903 * [taylor]: Taking taylor expansion of y in x 8.903 * [backup-simplify]: Simplify y into y 8.903 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.903 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.903 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 8.903 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 8.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.903 * [taylor]: Taking taylor expansion of x in x 8.903 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify 1 into 1 8.904 * [backup-simplify]: Simplify (/ 1 1) into 1 8.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.904 * [taylor]: Taking taylor expansion of y in x 8.904 * [backup-simplify]: Simplify y into y 8.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.904 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.904 * [taylor]: Taking taylor expansion of y in x 8.904 * [backup-simplify]: Simplify y into y 8.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.904 * [taylor]: Taking taylor expansion of x in x 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [backup-simplify]: Simplify (/ 1 1) into 1 8.905 * [backup-simplify]: Simplify (+ 1 0) into 1 8.905 * [backup-simplify]: Simplify (+ 1 0) into 1 8.905 * [backup-simplify]: Simplify (+ 0 1) into 1 8.906 * [backup-simplify]: Simplify (* 1 1) into 1 8.906 * [backup-simplify]: Simplify (/ 1 1) into 1 8.906 * [taylor]: Taking taylor expansion of 1 in y 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.907 * [backup-simplify]: Simplify (+ 0 0) into 0 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 8.908 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 8.908 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 8.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.909 * [taylor]: Taking taylor expansion of 0 in y 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify 0 into 0 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.912 * [backup-simplify]: Simplify (- 0) into 0 8.912 * [backup-simplify]: Simplify (+ 0 0) into 0 8.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 8.913 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 8.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.913 * [taylor]: Taking taylor expansion of 2 in y 8.913 * [backup-simplify]: Simplify 2 into 2 8.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.913 * [taylor]: Taking taylor expansion of y in y 8.913 * [backup-simplify]: Simplify 0 into 0 8.913 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (* 1 1) into 1 8.914 * [backup-simplify]: Simplify (/ 1 1) into 1 8.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.916 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.918 * [backup-simplify]: Simplify (+ 0 0) into 0 8.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.924 * [backup-simplify]: Simplify (+ 0 0) into 0 8.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.925 * [backup-simplify]: Simplify (- 0) into 0 8.926 * [backup-simplify]: Simplify (+ 0 0) into 0 8.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 8.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 8.927 * [taylor]: Taking taylor expansion of 0 in y 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 1 into 1 8.928 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 8.928 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 8.928 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 8.928 * [taylor]: Taking taylor expansion of -1 in y 8.928 * [backup-simplify]: Simplify -1 into -1 8.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 8.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.928 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.928 * [taylor]: Taking taylor expansion of x in y 8.928 * [backup-simplify]: Simplify x into x 8.928 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.928 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.928 * [taylor]: Taking taylor expansion of y in y 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 1 into 1 8.929 * [backup-simplify]: Simplify (* 1 1) into 1 8.929 * [backup-simplify]: Simplify (/ 1 1) into 1 8.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 8.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 8.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.929 * [taylor]: Taking taylor expansion of y in y 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.929 * [backup-simplify]: Simplify (/ 1 1) into 1 8.929 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.929 * [taylor]: Taking taylor expansion of x in y 8.929 * [backup-simplify]: Simplify x into x 8.929 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.929 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 8.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.929 * [taylor]: Taking taylor expansion of y in y 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.930 * [backup-simplify]: Simplify (/ 1 1) into 1 8.930 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.930 * [taylor]: Taking taylor expansion of x in y 8.930 * [backup-simplify]: Simplify x into x 8.930 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.930 * [backup-simplify]: Simplify (+ 0 1) into 1 8.930 * [backup-simplify]: Simplify (+ 1 0) into 1 8.930 * [backup-simplify]: Simplify (+ 1 0) into 1 8.931 * [backup-simplify]: Simplify (* 1 1) into 1 8.931 * [backup-simplify]: Simplify (/ 1 1) into 1 8.931 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 8.931 * [taylor]: Taking taylor expansion of -1 in x 8.931 * [backup-simplify]: Simplify -1 into -1 8.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 8.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.931 * [taylor]: Taking taylor expansion of x in x 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [backup-simplify]: Simplify (* 1 1) into 1 8.932 * [backup-simplify]: Simplify (/ 1 1) into 1 8.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.932 * [taylor]: Taking taylor expansion of y in x 8.932 * [backup-simplify]: Simplify y into y 8.932 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.932 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 8.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.932 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.932 * [taylor]: Taking taylor expansion of y in x 8.932 * [backup-simplify]: Simplify y into y 8.932 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.932 * [taylor]: Taking taylor expansion of x in x 8.932 * [backup-simplify]: Simplify 0 into 0 8.932 * [backup-simplify]: Simplify 1 into 1 8.932 * [backup-simplify]: Simplify (/ 1 1) into 1 8.932 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 8.932 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.932 * [taylor]: Taking taylor expansion of y in x 8.932 * [backup-simplify]: Simplify y into y 8.933 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.933 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.933 * [taylor]: Taking taylor expansion of x in x 8.933 * [backup-simplify]: Simplify 0 into 0 8.933 * [backup-simplify]: Simplify 1 into 1 8.933 * [backup-simplify]: Simplify (/ 1 1) into 1 8.933 * [backup-simplify]: Simplify (+ 1 0) into 1 8.933 * [backup-simplify]: Simplify (+ 0 1) into 1 8.934 * [backup-simplify]: Simplify (- 1) into -1 8.934 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.934 * [backup-simplify]: Simplify (* 1 -1) into -1 8.934 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.934 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 8.934 * [taylor]: Taking taylor expansion of -1 in x 8.935 * [backup-simplify]: Simplify -1 into -1 8.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 8.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.935 * [taylor]: Taking taylor expansion of x in x 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (* 1 1) into 1 8.935 * [backup-simplify]: Simplify (/ 1 1) into 1 8.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.935 * [taylor]: Taking taylor expansion of y in x 8.935 * [backup-simplify]: Simplify y into y 8.935 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.936 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.936 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 8.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 8.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.936 * [taylor]: Taking taylor expansion of y in x 8.936 * [backup-simplify]: Simplify y into y 8.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.936 * [taylor]: Taking taylor expansion of x in x 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 1 into 1 8.936 * [backup-simplify]: Simplify (/ 1 1) into 1 8.936 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 8.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 8.936 * [taylor]: Taking taylor expansion of y in x 8.936 * [backup-simplify]: Simplify y into y 8.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.936 * [taylor]: Taking taylor expansion of x in x 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 1 into 1 8.936 * [backup-simplify]: Simplify (/ 1 1) into 1 8.937 * [backup-simplify]: Simplify (+ 1 0) into 1 8.937 * [backup-simplify]: Simplify (+ 0 1) into 1 8.938 * [backup-simplify]: Simplify (- 1) into -1 8.938 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.938 * [backup-simplify]: Simplify (* 1 -1) into -1 8.939 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.939 * [backup-simplify]: Simplify (* -1 -1) into 1 8.939 * [taylor]: Taking taylor expansion of 1 in y 8.939 * [backup-simplify]: Simplify 1 into 1 8.939 * [backup-simplify]: Simplify 1 into 1 8.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (+ 0 0) into 0 8.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.942 * [backup-simplify]: Simplify (- 0) into 0 8.943 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.943 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 8.944 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 8.944 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 8.945 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.945 * [taylor]: Taking taylor expansion of 0 in y 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.945 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.949 * [backup-simplify]: Simplify (- 0) into 0 8.949 * [backup-simplify]: Simplify (+ 0 0) into 0 8.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 8.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (+ 0 0) into 0 8.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 8.953 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2)))) 8.954 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 8.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.954 * [taylor]: Taking taylor expansion of 2 in y 8.954 * [backup-simplify]: Simplify 2 into 2 8.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.954 * [taylor]: Taking taylor expansion of y in y 8.954 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (* 1 1) into 1 8.955 * [backup-simplify]: Simplify (/ 1 1) into 1 8.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.959 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.962 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.962 * [backup-simplify]: Simplify (+ 0 0) into 0 8.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.964 * [backup-simplify]: Simplify (- 0) into 0 8.964 * [backup-simplify]: Simplify (+ 0 0) into 0 8.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.966 * [backup-simplify]: Simplify (+ 0 0) into 0 8.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 8.969 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0 8.970 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0 8.970 * [taylor]: Taking taylor expansion of 0 in y 8.970 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify 1 into 1 8.970 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.971 * [backup-simplify]: Simplify (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) into (/ (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) (+ (pow x 2) (pow y 2))) 8.971 * [approximate]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) (+ (pow x 2) (pow y 2))) in (x y) around 0 8.971 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) (+ (pow x 2) (pow y 2))) in y 8.971 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 8.971 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 8.971 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.971 * [taylor]: Taking taylor expansion of x in y 8.971 * [backup-simplify]: Simplify x into x 8.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.971 * [taylor]: Taking taylor expansion of y in y 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.971 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 8.971 * [taylor]: Taking taylor expansion of (+ x y) in y 8.971 * [taylor]: Taking taylor expansion of x in y 8.971 * [backup-simplify]: Simplify x into x 8.971 * [taylor]: Taking taylor expansion of y in y 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.971 * [taylor]: Taking taylor expansion of (- x y) in y 8.971 * [taylor]: Taking taylor expansion of x in y 8.971 * [backup-simplify]: Simplify x into x 8.971 * [taylor]: Taking taylor expansion of y in y 8.971 * [backup-simplify]: Simplify 0 into 0 8.971 * [backup-simplify]: Simplify 1 into 1 8.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.971 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.971 * [taylor]: Taking taylor expansion of x in y 8.972 * [backup-simplify]: Simplify x into x 8.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.972 * [taylor]: Taking taylor expansion of y in y 8.972 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify 1 into 1 8.972 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.972 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.972 * [backup-simplify]: Simplify (+ x 0) into x 8.972 * [backup-simplify]: Simplify (- 0) into 0 8.972 * [backup-simplify]: Simplify (+ x 0) into x 8.972 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.973 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 8.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.973 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.973 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 8.973 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) (+ (pow x 2) (pow y 2))) in x 8.973 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 8.973 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.973 * [taylor]: Taking taylor expansion of x in x 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.973 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.973 * [taylor]: Taking taylor expansion of y in x 8.973 * [backup-simplify]: Simplify y into y 8.973 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 8.974 * [taylor]: Taking taylor expansion of (+ x y) in x 8.974 * [taylor]: Taking taylor expansion of x in x 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [taylor]: Taking taylor expansion of y in x 8.974 * [backup-simplify]: Simplify y into y 8.974 * [taylor]: Taking taylor expansion of (- x y) in x 8.974 * [taylor]: Taking taylor expansion of x in x 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [taylor]: Taking taylor expansion of y in x 8.974 * [backup-simplify]: Simplify y into y 8.974 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.974 * [taylor]: Taking taylor expansion of x in x 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.974 * [taylor]: Taking taylor expansion of y in x 8.974 * [backup-simplify]: Simplify y into y 8.974 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.974 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.974 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.975 * [backup-simplify]: Simplify (+ 0 y) into y 8.975 * [backup-simplify]: Simplify (- y) into (- y) 8.975 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.975 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 8.975 * [backup-simplify]: Simplify (* (- (pow y 2)) (* -1 (pow y 2))) into (pow y 4) 8.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.975 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.975 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 8.975 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) (+ (pow x 2) (pow y 2))) in x 8.975 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 8.976 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.976 * [taylor]: Taking taylor expansion of x in x 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.976 * [taylor]: Taking taylor expansion of y in x 8.976 * [backup-simplify]: Simplify y into y 8.976 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 8.976 * [taylor]: Taking taylor expansion of (+ x y) in x 8.976 * [taylor]: Taking taylor expansion of x in x 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [taylor]: Taking taylor expansion of y in x 8.976 * [backup-simplify]: Simplify y into y 8.976 * [taylor]: Taking taylor expansion of (- x y) in x 8.976 * [taylor]: Taking taylor expansion of x in x 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [taylor]: Taking taylor expansion of y in x 8.976 * [backup-simplify]: Simplify y into y 8.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.976 * [taylor]: Taking taylor expansion of x in x 8.976 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify 1 into 1 8.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.976 * [taylor]: Taking taylor expansion of y in x 8.976 * [backup-simplify]: Simplify y into y 8.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.977 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.977 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.977 * [backup-simplify]: Simplify (+ 0 y) into y 8.977 * [backup-simplify]: Simplify (- y) into (- y) 8.977 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 8.977 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 8.977 * [backup-simplify]: Simplify (* (- (pow y 2)) (* -1 (pow y 2))) into (pow y 4) 8.977 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.978 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.978 * [backup-simplify]: Simplify (/ (pow y 4) (pow y 2)) into (pow y 2) 8.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.978 * [taylor]: Taking taylor expansion of y in y 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify 1 into 1 8.978 * [backup-simplify]: Simplify (- 0) into 0 8.979 * [backup-simplify]: Simplify (+ 1 0) into 1 8.979 * [backup-simplify]: Simplify (+ 1 0) into 1 8.979 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 8.980 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.980 * [backup-simplify]: Simplify (- 0) into 0 8.980 * [backup-simplify]: Simplify (+ 0 0) into 0 8.981 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (* 0 (* -1 (pow y 2)))) into 0 8.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.981 * [backup-simplify]: Simplify (+ 0 0) into 0 8.981 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ 0 (pow y 2))))) into 0 8.981 * [taylor]: Taking taylor expansion of 0 in y 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify (- 0) into 0 8.982 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (+ 0 0) into 0 8.983 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 8.984 * [backup-simplify]: Simplify (* 1 1) into 1 8.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.984 * [backup-simplify]: Simplify (- 0) into 0 8.985 * [backup-simplify]: Simplify (+ 1 0) into 1 8.986 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 1) (+ (* 0 0) (* 1 (* -1 (pow y 2))))) into (- (* 2 (pow y 2))) 8.986 * [backup-simplify]: Simplify (* 1 1) into 1 8.986 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.987 * [backup-simplify]: Simplify (+ 1 0) into 1 8.988 * [backup-simplify]: Simplify (- (/ (- (* 2 (pow y 2))) (pow y 2)) (+ (* (pow y 2) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- 3) 8.988 * [taylor]: Taking taylor expansion of (- 3) in y 8.988 * [taylor]: Taking taylor expansion of 3 in y 8.988 * [backup-simplify]: Simplify 3 into 3 8.988 * [backup-simplify]: Simplify (- 3) into -3 8.988 * [backup-simplify]: Simplify -3 into -3 8.988 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify (* 1 1) into 1 8.989 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (- 0) into 0 8.989 * [backup-simplify]: Simplify (+ 0 0) into 0 8.990 * [backup-simplify]: Simplify (+ 0 0) into 0 8.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 8.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.993 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.993 * [backup-simplify]: Simplify (- 0) into 0 8.994 * [backup-simplify]: Simplify (+ 0 0) into 0 8.995 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 1) (+ (* 1 0) (* 0 (* -1 (pow y 2)))))) into 0 8.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.996 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.997 * [backup-simplify]: Simplify (+ 0 0) into 0 8.998 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (pow y 2) (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- 3) (/ 0 (pow y 2))))) into 0 8.998 * [taylor]: Taking taylor expansion of 0 in y 8.998 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify (- 0) into 0 8.998 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify (- 0) into 0 9.000 * [backup-simplify]: Simplify (+ 0 0) into 0 9.000 * [backup-simplify]: Simplify (+ 0 0) into 0 9.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 9.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.004 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.004 * [backup-simplify]: Simplify (- 0) into 0 9.004 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (+ (* (- (pow y 2)) 0) (+ (* 0 0) (+ (* 1 1) (+ (* 0 0) (* 0 (* -1 (pow y 2))))))) into 1 9.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.008 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.010 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* (pow y 2) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* (- 3) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 4 (/ 1 (pow y 2))) 9.010 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 9.010 * [taylor]: Taking taylor expansion of 4 in y 9.010 * [backup-simplify]: Simplify 4 into 4 9.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.010 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.010 * [taylor]: Taking taylor expansion of y in y 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (* 1 1) into 1 9.011 * [backup-simplify]: Simplify (/ 1 1) into 1 9.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.016 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* -3 (pow (* 1 x) 2))) into (- (pow y 2) (* 3 (pow x 2))) 9.017 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))))) into (/ (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 9.017 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 9.017 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.018 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 9.018 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 9.018 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.018 * [taylor]: Taking taylor expansion of x in y 9.018 * [backup-simplify]: Simplify x into x 9.018 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.018 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.018 * [taylor]: Taking taylor expansion of y in y 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (/ 1 1) into 1 9.018 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 9.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.018 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.018 * [taylor]: Taking taylor expansion of x in y 9.018 * [backup-simplify]: Simplify x into x 9.019 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.019 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.019 * [taylor]: Taking taylor expansion of y in y 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.019 * [backup-simplify]: Simplify (* 1 1) into 1 9.020 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.020 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.020 * [taylor]: Taking taylor expansion of y in y 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify 1 into 1 9.020 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.020 * [taylor]: Taking taylor expansion of x in y 9.020 * [backup-simplify]: Simplify x into x 9.020 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.020 * [taylor]: Taking taylor expansion of x in y 9.021 * [backup-simplify]: Simplify x into x 9.021 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.021 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.021 * [taylor]: Taking taylor expansion of y in y 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.021 * [backup-simplify]: Simplify (* 1 1) into 1 9.022 * [backup-simplify]: Simplify (/ 1 1) into 1 9.022 * [backup-simplify]: Simplify (- 1) into -1 9.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.023 * [backup-simplify]: Simplify (- 1) into -1 9.023 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.024 * [backup-simplify]: Simplify (+ 1 0) into 1 9.024 * [backup-simplify]: Simplify (* -1 1) into -1 9.025 * [backup-simplify]: Simplify (* -1 -1) into 1 9.025 * [backup-simplify]: Simplify (+ 0 1) into 1 9.025 * [backup-simplify]: Simplify (/ 1 1) into 1 9.025 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.025 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 9.025 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 9.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.026 * [taylor]: Taking taylor expansion of x in x 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (/ 1 1) into 1 9.026 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.026 * [taylor]: Taking taylor expansion of y in x 9.026 * [backup-simplify]: Simplify y into y 9.026 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.026 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 9.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.026 * [taylor]: Taking taylor expansion of x in x 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify 1 into 1 9.027 * [backup-simplify]: Simplify (* 1 1) into 1 9.027 * [backup-simplify]: Simplify (/ 1 1) into 1 9.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.027 * [taylor]: Taking taylor expansion of y in x 9.027 * [backup-simplify]: Simplify y into y 9.027 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.028 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.028 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.028 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.028 * [taylor]: Taking taylor expansion of y in x 9.028 * [backup-simplify]: Simplify y into y 9.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.028 * [taylor]: Taking taylor expansion of x in x 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.028 * [backup-simplify]: Simplify (/ 1 1) into 1 9.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.028 * [taylor]: Taking taylor expansion of x in x 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 1 into 1 9.029 * [backup-simplify]: Simplify (* 1 1) into 1 9.029 * [backup-simplify]: Simplify (/ 1 1) into 1 9.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.029 * [taylor]: Taking taylor expansion of y in x 9.029 * [backup-simplify]: Simplify y into y 9.029 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.030 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.030 * [backup-simplify]: Simplify (+ 1 0) into 1 9.030 * [backup-simplify]: Simplify (+ 1 0) into 1 9.031 * [backup-simplify]: Simplify (+ 0 1) into 1 9.031 * [backup-simplify]: Simplify (* 1 1) into 1 9.032 * [backup-simplify]: Simplify (* 1 1) into 1 9.032 * [backup-simplify]: Simplify (+ 1 0) into 1 9.032 * [backup-simplify]: Simplify (/ 1 1) into 1 9.032 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.033 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 9.033 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 9.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.033 * [taylor]: Taking taylor expansion of x in x 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 1 into 1 9.033 * [backup-simplify]: Simplify (/ 1 1) into 1 9.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.033 * [taylor]: Taking taylor expansion of y in x 9.033 * [backup-simplify]: Simplify y into y 9.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.033 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 9.033 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.033 * [taylor]: Taking taylor expansion of x in x 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 1 into 1 9.034 * [backup-simplify]: Simplify (* 1 1) into 1 9.034 * [backup-simplify]: Simplify (/ 1 1) into 1 9.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.034 * [taylor]: Taking taylor expansion of y in x 9.034 * [backup-simplify]: Simplify y into y 9.034 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.035 * [taylor]: Taking taylor expansion of y in x 9.035 * [backup-simplify]: Simplify y into y 9.035 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.035 * [taylor]: Taking taylor expansion of x in x 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [backup-simplify]: Simplify (/ 1 1) into 1 9.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.035 * [taylor]: Taking taylor expansion of x in x 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (* 1 1) into 1 9.036 * [backup-simplify]: Simplify (/ 1 1) into 1 9.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.036 * [taylor]: Taking taylor expansion of y in x 9.036 * [backup-simplify]: Simplify y into y 9.036 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.037 * [backup-simplify]: Simplify (+ 1 0) into 1 9.037 * [backup-simplify]: Simplify (+ 1 0) into 1 9.038 * [backup-simplify]: Simplify (+ 0 1) into 1 9.038 * [backup-simplify]: Simplify (* 1 1) into 1 9.039 * [backup-simplify]: Simplify (* 1 1) into 1 9.039 * [backup-simplify]: Simplify (+ 1 0) into 1 9.039 * [backup-simplify]: Simplify (/ 1 1) into 1 9.040 * [taylor]: Taking taylor expansion of 1 in y 9.040 * [backup-simplify]: Simplify 1 into 1 9.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.042 * [backup-simplify]: Simplify (+ 0 0) into 0 9.043 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 1)) into (/ 1 y) 9.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.044 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 9.044 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 9.044 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (+ 0 0) into 0 9.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 9.047 * [taylor]: Taking taylor expansion of 0 in y 9.047 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 9.051 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 9.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (pow y 2))) 1))) into (- (/ 1 (pow y 2))) 9.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.053 * [backup-simplify]: Simplify (- 0) into 0 9.054 * [backup-simplify]: Simplify (+ 0 0) into 0 9.054 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 2)))) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (* 2 (/ 1 (pow y 2)))) 9.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.056 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.057 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 3 (/ 1 (pow y 2)))) 9.058 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 2)))) in y 9.058 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 9.058 * [taylor]: Taking taylor expansion of 3 in y 9.058 * [backup-simplify]: Simplify 3 into 3 9.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.058 * [taylor]: Taking taylor expansion of y in y 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (* 1 1) into 1 9.059 * [backup-simplify]: Simplify (/ 1 1) into 1 9.059 * [backup-simplify]: Simplify (* 3 1) into 3 9.059 * [backup-simplify]: Simplify (- 3) into -3 9.059 * [backup-simplify]: Simplify -3 into -3 9.059 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.064 * [backup-simplify]: Simplify (- 0) into 0 9.065 * [backup-simplify]: Simplify (+ 0 0) into 0 9.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 9.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.068 * [backup-simplify]: Simplify (- 0) into 0 9.068 * [backup-simplify]: Simplify (+ 0 0) into 0 9.069 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 (pow y 3)))) (+ (* (- (/ 1 y)) (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 9.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 3 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 9.074 * [taylor]: Taking taylor expansion of 0 in y 9.074 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.081 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 9.081 * [backup-simplify]: Simplify (- 0) into 0 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.082 * [backup-simplify]: Simplify (+ 0 0) into 0 9.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.084 * [backup-simplify]: Simplify (- 0) into 0 9.084 * [backup-simplify]: Simplify (+ 0 0) into 0 9.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 9.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.086 * [backup-simplify]: Simplify (- 0) into 0 9.086 * [backup-simplify]: Simplify (+ 0 0) into 0 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 (pow y 3)))) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1))))) into (/ 1 (pow y 4)) 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.091 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 4)) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 3 (/ 1 (pow y 2)))) (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 4 (/ 1 (pow y 4))) 9.091 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 4))) in y 9.091 * [taylor]: Taking taylor expansion of 4 in y 9.091 * [backup-simplify]: Simplify 4 into 4 9.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.091 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.091 * [taylor]: Taking taylor expansion of y in y 9.091 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify 1 into 1 9.091 * [backup-simplify]: Simplify (* 1 1) into 1 9.091 * [backup-simplify]: Simplify (* 1 1) into 1 9.091 * [backup-simplify]: Simplify (/ 1 1) into 1 9.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.095 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.096 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 9.097 * [backup-simplify]: Simplify (- 0) into 0 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 3 (pow y 2))) 9.097 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 9.098 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 9.098 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 9.098 * [taylor]: Taking taylor expansion of -1 in y 9.098 * [backup-simplify]: Simplify -1 into -1 9.098 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 9.098 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 9.098 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 9.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.098 * [taylor]: Taking taylor expansion of y in y 9.098 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify 1 into 1 9.098 * [backup-simplify]: Simplify (/ 1 1) into 1 9.098 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.098 * [taylor]: Taking taylor expansion of x in y 9.098 * [backup-simplify]: Simplify x into x 9.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.098 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 9.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.098 * [taylor]: Taking taylor expansion of x in y 9.098 * [backup-simplify]: Simplify x into x 9.098 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.098 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.098 * [taylor]: Taking taylor expansion of y in y 9.098 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify 1 into 1 9.099 * [backup-simplify]: Simplify (* 1 1) into 1 9.099 * [backup-simplify]: Simplify (/ 1 1) into 1 9.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 9.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 9.099 * [taylor]: Taking taylor expansion of y in y 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 1 into 1 9.099 * [backup-simplify]: Simplify (/ 1 1) into 1 9.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 9.099 * [taylor]: Taking taylor expansion of x in y 9.099 * [backup-simplify]: Simplify x into x 9.099 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.100 * [taylor]: Taking taylor expansion of x in y 9.100 * [backup-simplify]: Simplify x into x 9.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.100 * [taylor]: Taking taylor expansion of y in y 9.100 * [backup-simplify]: Simplify 0 into 0 9.100 * [backup-simplify]: Simplify 1 into 1 9.100 * [backup-simplify]: Simplify (* 1 1) into 1 9.100 * [backup-simplify]: Simplify (/ 1 1) into 1 9.101 * [backup-simplify]: Simplify (+ 1 0) into 1 9.101 * [backup-simplify]: Simplify (- 1) into -1 9.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.101 * [backup-simplify]: Simplify (+ 1 0) into 1 9.102 * [backup-simplify]: Simplify (* -1 1) into -1 9.102 * [backup-simplify]: Simplify (* 1 -1) into -1 9.102 * [backup-simplify]: Simplify (+ 0 1) into 1 9.102 * [backup-simplify]: Simplify (/ -1 1) into -1 9.102 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 9.102 * [taylor]: Taking taylor expansion of -1 in x 9.102 * [backup-simplify]: Simplify -1 into -1 9.102 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.102 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 9.102 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 9.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.102 * [taylor]: Taking taylor expansion of y in x 9.102 * [backup-simplify]: Simplify y into y 9.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.103 * [taylor]: Taking taylor expansion of x in x 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [backup-simplify]: Simplify (/ 1 1) into 1 9.103 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 9.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.103 * [taylor]: Taking taylor expansion of x in x 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [backup-simplify]: Simplify (* 1 1) into 1 9.103 * [backup-simplify]: Simplify (/ 1 1) into 1 9.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.104 * [taylor]: Taking taylor expansion of y in x 9.104 * [backup-simplify]: Simplify y into y 9.104 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.104 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.104 * [taylor]: Taking taylor expansion of y in x 9.104 * [backup-simplify]: Simplify y into y 9.104 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.104 * [taylor]: Taking taylor expansion of x in x 9.104 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify 1 into 1 9.104 * [backup-simplify]: Simplify (/ 1 1) into 1 9.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.104 * [taylor]: Taking taylor expansion of x in x 9.104 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify 1 into 1 9.104 * [backup-simplify]: Simplify (* 1 1) into 1 9.105 * [backup-simplify]: Simplify (/ 1 1) into 1 9.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.105 * [taylor]: Taking taylor expansion of y in x 9.105 * [backup-simplify]: Simplify y into y 9.105 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.105 * [backup-simplify]: Simplify (- 1) into -1 9.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.106 * [backup-simplify]: Simplify (+ 1 0) into 1 9.107 * [backup-simplify]: Simplify (+ 0 1) into 1 9.108 * [backup-simplify]: Simplify (* 1 1) into 1 9.108 * [backup-simplify]: Simplify (* -1 1) into -1 9.108 * [backup-simplify]: Simplify (+ 1 0) into 1 9.109 * [backup-simplify]: Simplify (/ -1 1) into -1 9.109 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 9.109 * [taylor]: Taking taylor expansion of -1 in x 9.109 * [backup-simplify]: Simplify -1 into -1 9.109 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 9.109 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 9.109 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 9.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.109 * [taylor]: Taking taylor expansion of y in x 9.109 * [backup-simplify]: Simplify y into y 9.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.109 * [taylor]: Taking taylor expansion of x in x 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.110 * [backup-simplify]: Simplify (/ 1 1) into 1 9.110 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 9.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.110 * [taylor]: Taking taylor expansion of x in x 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 1 into 1 9.110 * [backup-simplify]: Simplify (* 1 1) into 1 9.111 * [backup-simplify]: Simplify (/ 1 1) into 1 9.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.111 * [taylor]: Taking taylor expansion of y in x 9.111 * [backup-simplify]: Simplify y into y 9.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 9.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 9.112 * [taylor]: Taking taylor expansion of y in x 9.112 * [backup-simplify]: Simplify y into y 9.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 9.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.112 * [taylor]: Taking taylor expansion of x in x 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [backup-simplify]: Simplify (/ 1 1) into 1 9.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.112 * [taylor]: Taking taylor expansion of x in x 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.113 * [backup-simplify]: Simplify (* 1 1) into 1 9.113 * [backup-simplify]: Simplify (/ 1 1) into 1 9.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.113 * [taylor]: Taking taylor expansion of y in x 9.113 * [backup-simplify]: Simplify y into y 9.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.114 * [backup-simplify]: Simplify (- 1) into -1 9.114 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.115 * [backup-simplify]: Simplify (+ 1 0) into 1 9.115 * [backup-simplify]: Simplify (+ 0 1) into 1 9.115 * [backup-simplify]: Simplify (* 1 1) into 1 9.116 * [backup-simplify]: Simplify (* -1 1) into -1 9.116 * [backup-simplify]: Simplify (+ 1 0) into 1 9.117 * [backup-simplify]: Simplify (/ -1 1) into -1 9.117 * [backup-simplify]: Simplify (* -1 -1) into 1 9.117 * [taylor]: Taking taylor expansion of 1 in y 9.117 * [backup-simplify]: Simplify 1 into 1 9.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.118 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.120 * [backup-simplify]: Simplify (+ 0 0) into 0 9.120 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 1)) into (/ 1 y) 9.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.121 * [backup-simplify]: Simplify (- 0) into 0 9.121 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 9.121 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0 9.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.123 * [backup-simplify]: Simplify (+ 0 0) into 0 9.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.125 * [taylor]: Taking taylor expansion of 0 in y 9.125 * [backup-simplify]: Simplify 0 into 0 9.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.126 * [backup-simplify]: Simplify (+ 0 0) into 0 9.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.128 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 9.128 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 9.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (- (/ 1 (pow y 2))) 1))) into (- (/ 1 (pow y 2))) 9.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 9.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.130 * [backup-simplify]: Simplify (- 0) into 0 9.131 * [backup-simplify]: Simplify (+ 0 0) into 0 9.132 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (* 2 (/ 1 (pow y 2))) 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 9.135 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 (pow y 2))) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 3 (/ 1 (pow y 2))) 9.136 * [backup-simplify]: Simplify (+ (* -1 (* 3 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 3 (/ 1 (pow y 2)))) 9.136 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 2)))) in y 9.136 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 9.136 * [taylor]: Taking taylor expansion of 3 in y 9.136 * [backup-simplify]: Simplify 3 into 3 9.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.136 * [taylor]: Taking taylor expansion of y in y 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify 1 into 1 9.136 * [backup-simplify]: Simplify (* 1 1) into 1 9.137 * [backup-simplify]: Simplify (/ 1 1) into 1 9.137 * [backup-simplify]: Simplify (* 3 1) into 3 9.138 * [backup-simplify]: Simplify (- 3) into -3 9.138 * [backup-simplify]: Simplify -3 into -3 9.138 * [backup-simplify]: Simplify 1 into 1 9.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.139 * [backup-simplify]: Simplify (+ 0 0) into 0 9.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.142 * [backup-simplify]: Simplify (- 0) into 0 9.143 * [backup-simplify]: Simplify (+ 0 0) into 0 9.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) (/ 1 y)) (* 0 1)))) into (- (/ 1 (pow y 3))) 9.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify (- 0) into 0 9.146 * [backup-simplify]: Simplify (+ 0 0) into 0 9.147 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 3)))) (+ (* (/ 1 y) (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 9.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 3 (/ 1 (pow y 2))) (/ 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 3 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 9.152 * [taylor]: Taking taylor expansion of 0 in y 9.152 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.155 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 9.155 * [backup-simplify]: Simplify (- 0) into 0 9.155 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.157 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.160 * [backup-simplify]: Simplify (- 0) into 0 9.160 * [backup-simplify]: Simplify (+ 0 0) into 0 9.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 (pow y 2))) 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 9.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 9.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.163 * [backup-simplify]: Simplify (- 0) into 0 9.164 * [backup-simplify]: Simplify (+ 0 0) into 0 9.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (- (/ 1 (pow y 3)))) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 (/ 1 y)) (* 0 1))))) into (- (/ 1 (pow y 4))) 9.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.168 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.168 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* (* 3 (/ 1 (pow y 2))) (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow y 4)))) 9.172 * [backup-simplify]: Simplify (+ (* -1 (- (* 4 (/ 1 (pow y 4))))) (+ (* 0 0) (+ (* 0 (* 3 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))))) into (* 4 (/ 1 (pow y 4))) 9.173 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 4))) in y 9.173 * [taylor]: Taking taylor expansion of 4 in y 9.173 * [backup-simplify]: Simplify 4 into 4 9.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 9.173 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.173 * [taylor]: Taking taylor expansion of y in y 9.173 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify 1 into 1 9.173 * [backup-simplify]: Simplify (* 1 1) into 1 9.174 * [backup-simplify]: Simplify (* 1 1) into 1 9.174 * [backup-simplify]: Simplify (/ 1 1) into 1 9.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.180 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 9.180 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 9.183 * [backup-simplify]: Simplify (- 0) into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 3 (pow y 2))) 9.184 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.184 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 9.184 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 9.184 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 9.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.184 * [taylor]: Taking taylor expansion of x in y 9.184 * [backup-simplify]: Simplify x into x 9.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.185 * [taylor]: Taking taylor expansion of y in y 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 9.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.185 * [taylor]: Taking taylor expansion of x in x 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.185 * [taylor]: Taking taylor expansion of y in x 9.185 * [backup-simplify]: Simplify y into y 9.185 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 9.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.185 * [taylor]: Taking taylor expansion of x in x 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.185 * [taylor]: Taking taylor expansion of y in x 9.185 * [backup-simplify]: Simplify y into y 9.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.185 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 9.186 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 9.186 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 9.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.186 * [taylor]: Taking taylor expansion of y in y 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.186 * [backup-simplify]: Simplify (- 0) into 0 9.187 * [backup-simplify]: Simplify (+ 0 0) into 0 9.187 * [taylor]: Taking taylor expansion of 0 in y 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (* 1 1) into 1 9.188 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.188 * [backup-simplify]: Simplify (- 0) into 0 9.189 * [backup-simplify]: Simplify (+ 1 0) into 1 9.189 * [taylor]: Taking taylor expansion of 1 in y 9.189 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify (* 1 1) into 1 9.189 * [backup-simplify]: Simplify (- 1) into -1 9.190 * [backup-simplify]: Simplify -1 into -1 9.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.191 * [backup-simplify]: Simplify (- 0) into 0 9.192 * [backup-simplify]: Simplify (+ 0 0) into 0 9.192 * [taylor]: Taking taylor expansion of 0 in y 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.193 * [backup-simplify]: Simplify (- 0) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.196 * [backup-simplify]: Simplify (- 0) into 0 9.196 * [backup-simplify]: Simplify (+ 0 0) into 0 9.196 * [taylor]: Taking taylor expansion of 0 in y 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 9.197 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 9.197 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 9.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.197 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.197 * [taylor]: Taking taylor expansion of x in y 9.197 * [backup-simplify]: Simplify x into x 9.197 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.198 * [taylor]: Taking taylor expansion of y in y 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 1 into 1 9.198 * [backup-simplify]: Simplify (* 1 1) into 1 9.199 * [backup-simplify]: Simplify (/ 1 1) into 1 9.199 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.199 * [taylor]: Taking taylor expansion of x in x 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 1 into 1 9.199 * [backup-simplify]: Simplify (* 1 1) into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.200 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.200 * [taylor]: Taking taylor expansion of y in x 9.200 * [backup-simplify]: Simplify y into y 9.200 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.200 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.200 * [taylor]: Taking taylor expansion of x in x 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.201 * [backup-simplify]: Simplify (* 1 1) into 1 9.201 * [backup-simplify]: Simplify (/ 1 1) into 1 9.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.201 * [taylor]: Taking taylor expansion of y in x 9.201 * [backup-simplify]: Simplify y into y 9.201 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.202 * [backup-simplify]: Simplify (+ 1 0) into 1 9.202 * [taylor]: Taking taylor expansion of 1 in y 9.202 * [backup-simplify]: Simplify 1 into 1 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (+ 0 0) into 0 9.204 * [taylor]: Taking taylor expansion of 0 in y 9.204 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.206 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 9.206 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 9.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 9.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.206 * [taylor]: Taking taylor expansion of y in y 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify 1 into 1 9.207 * [backup-simplify]: Simplify (* 1 1) into 1 9.207 * [backup-simplify]: Simplify (/ 1 1) into 1 9.207 * [backup-simplify]: Simplify (- 1) into -1 9.207 * [backup-simplify]: Simplify -1 into -1 9.207 * [backup-simplify]: Simplify 1 into 1 9.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.209 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.210 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify (+ 0 0) into 0 9.210 * [taylor]: Taking taylor expansion of 0 in y 9.210 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.212 * [backup-simplify]: Simplify (- 0) into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.223 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.224 * [backup-simplify]: Simplify (- 0) into 0 9.224 * [backup-simplify]: Simplify (+ 0 0) into 0 9.224 * [taylor]: Taking taylor expansion of 0 in y 9.224 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.226 * [backup-simplify]: Simplify (- 0) into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 9.227 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 9.227 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 9.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 9.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 9.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 9.227 * [taylor]: Taking taylor expansion of x in y 9.227 * [backup-simplify]: Simplify x into x 9.228 * [backup-simplify]: Simplify (* x x) into (pow x 2) 9.228 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 9.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.228 * [taylor]: Taking taylor expansion of y in y 9.228 * [backup-simplify]: Simplify 0 into 0 9.228 * [backup-simplify]: Simplify 1 into 1 9.228 * [backup-simplify]: Simplify (* 1 1) into 1 9.229 * [backup-simplify]: Simplify (/ 1 1) into 1 9.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.229 * [taylor]: Taking taylor expansion of x in x 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.229 * [backup-simplify]: Simplify (* 1 1) into 1 9.230 * [backup-simplify]: Simplify (/ 1 1) into 1 9.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.230 * [taylor]: Taking taylor expansion of y in x 9.230 * [backup-simplify]: Simplify y into y 9.230 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 9.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 9.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 9.230 * [taylor]: Taking taylor expansion of x in x 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 1 into 1 9.230 * [backup-simplify]: Simplify (* 1 1) into 1 9.231 * [backup-simplify]: Simplify (/ 1 1) into 1 9.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 9.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.231 * [taylor]: Taking taylor expansion of y in x 9.231 * [backup-simplify]: Simplify y into y 9.231 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.231 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.232 * [backup-simplify]: Simplify (+ 1 0) into 1 9.232 * [taylor]: Taking taylor expansion of 1 in y 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.233 * [backup-simplify]: Simplify (+ 0 0) into 0 9.233 * [taylor]: Taking taylor expansion of 0 in y 9.233 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.234 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 9.235 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 9.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 9.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.235 * [taylor]: Taking taylor expansion of y in y 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [backup-simplify]: Simplify (* 1 1) into 1 9.235 * [backup-simplify]: Simplify (/ 1 1) into 1 9.235 * [backup-simplify]: Simplify (- 1) into -1 9.235 * [backup-simplify]: Simplify -1 into -1 9.235 * [backup-simplify]: Simplify 1 into 1 9.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.237 * [backup-simplify]: Simplify (- 0) into 0 9.237 * [backup-simplify]: Simplify (+ 0 0) into 0 9.237 * [taylor]: Taking taylor expansion of 0 in y 9.237 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (- 0) into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.240 * [backup-simplify]: Simplify (- 0) into 0 9.241 * [backup-simplify]: Simplify (+ 0 0) into 0 9.241 * [taylor]: Taking taylor expansion of 0 in y 9.241 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.242 * [backup-simplify]: Simplify (- 0) into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 9.242 * * * [progress]: simplifying candidates 9.248 * [simplify]: Simplifying: (- (- (log (- (* x x) (* y y))) (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (+ (log (+ x y)) (log (- x y)))) (- (- (log (- (* x x) (* y y))) (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (log (* (+ x y) (- x y)))) (- (- (log (- (* x x) (* y y))) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (+ (log (+ x y)) (log (- x y)))) (- (- (log (- (* x x) (* y y))) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (log (* (+ x y) (- x y)))) (- (- (log (- (* x x) (* y y))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (+ (log (+ x y)) (log (- x y)))) (- (- (log (- (* x x) (* y y))) (log (/ (+ (* x x) (* y y)) (* 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2) (* 3 (pow y 2))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 9.261 * * [simplify]: Extracting # 0 : cost 0 9.262 * * [simplify]: Extracting # 1 : cost 0 9.263 * * [simplify]: Extracting # 2 : cost 0 9.264 * * [simplify]: Extracting # 3 : cost 0 9.265 * * [simplify]: Extracting # 4 : cost 0 9.266 * * [simplify]: Extracting # 5 : cost 0 9.267 * * [simplify]: Extracting # 6 : cost 0 9.268 * * [simplify]: Extracting # 7 : cost 0 9.269 * * [simplify]: Extracting # 8 : cost 0 9.271 * * [simplify]: Extracting # 9 : cost 0 9.274 * * [simplify]: iteration 0 : 514 enodes (cost 11820 ) 9.587 * * [simplify]: Extracting # 0 : cost 0 9.593 * * [simplify]: Extracting # 1 : cost 0 9.597 * * [simplify]: Extracting # 2 : cost 0 9.601 * * [simplify]: Extracting # 3 : cost 0 9.612 * * [simplify]: Extracting # 4 : cost 0 9.616 * * [simplify]: iteration 1 : 1445 enodes (cost 11546 ) 10.772 * * [simplify]: Extracting # 0 : cost 0 10.791 * * [simplify]: Extracting # 1 : cost 0 10.798 * * [simplify]: Extracting # 2 : cost 0 10.805 * * [simplify]: Extracting # 3 : cost 0 10.812 * * [simplify]: Extracting # 4 : cost 0 10.819 * * [simplify]: iteration done: 5000 enodes (cost 9572 ) 10.822 * [simplify]: Simplified to: (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (log (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (exp (* (* 1 (/ (- x y) (+ (* x x) (* y y)))) (+ x y))) (/ (* (/ (pow (- (pow x 2) (* y y)) 3) (pow (+ (* x x) (* y y)) 3)) (* (pow (- x y) 3) (pow (+ x y) 3))) (* (pow (- x y) 3) (pow (+ x y) 3))) (/ (* (/ (pow (- (pow x 2) (* y y)) 3) (pow (+ (* x x) (* 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(* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))) (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (cbrt (- (* x x) (* y y)))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (sqrt (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (- x y)) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (+ (* x (pow x 3)) (* (* y y) (+ (* x x) (* y y))))) (* (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (+ (* x x) (* y y))) (exp (- (* x x) (* y y))) (log (* (+ x y) (- x y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (pow x 2) (* y y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* x (pow x 3)) (* (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (* x (pow x 3)) (* (pow y 3) y)) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) -1 1 1 -1 1 1 (- (pow y 2) (* 3 (pow x 2))) (- (pow x 2) (* 3 (pow y 2))) (- (pow x 2) (* 3 (pow y 2))) (- (pow x 2) (* y y)) (- (pow x 2) (* y y)) (- (pow x 2) (* y y)) 10.825 * * * [progress]: adding candidates to table 12.243 * * [progress]: iteration 4 / 4 12.244 * * * [progress]: picking best candidate 12.245 * * * * [pick]: Picked # 12.245 * * * [progress]: localizing error 12.246 * * * [progress]: generating rewritten candidates 12.246 * * * [progress]: generating series expansions 12.246 * * * [progress]: simplifying candidates 12.246 * [simplify]: Simplifying: 12.246 * * [simplify]: Extracting # 0 : cost 0 12.246 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 12.246 * * [simplify]: Extracting # 0 : cost 0 12.246 * * [simplify]: iteration done: 0 enodes (cost 0 ) 12.246 * [simplify]: Simplified to: 12.246 * * * [progress]: adding candidates to table 12.246 * [progress]: [Phase 3 of 3] Extracting. 12.246 * * [regime]: Finding splitpoints for: (# # # #) 12.247 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 12.247 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 12.263 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # #) 12.279 * * * * [regimes]: Trying to branch on y from (# # # #) 12.310 * * * * [regimes]: Trying to branch on x from (# # # #) 12.349 * * * [regime]: Found split indices: #