24.143 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: Extracting # 3 : cost 0 0.045 * * [simplify]: Extracting # 4 : cost 0 0.045 * * [simplify]: Extracting # 5 : cost 0 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 15 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.057 * * [simplify]: Extracting # 0 : cost 0 0.057 * * [simplify]: Extracting # 1 : cost 0 0.057 * * [simplify]: Extracting # 2 : cost 0 0.057 * * [simplify]: iteration 2 : 48 enodes (cost 15 ) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.080 * * [simplify]: iteration 3 : 101 enodes (cost 15 ) 0.133 * * [simplify]: Extracting # 0 : cost 0 0.134 * * [simplify]: Extracting # 1 : cost 0 0.134 * * [simplify]: Extracting # 2 : cost 0 0.134 * * [simplify]: iteration 4 : 188 enodes (cost 15 ) 0.244 * * [simplify]: Extracting # 0 : cost 0 0.245 * * [simplify]: Extracting # 1 : cost 0 0.245 * * [simplify]: Extracting # 2 : cost 0 0.246 * * [simplify]: Extracting # 3 : cost 0 0.246 * * [simplify]: iteration 5 : 346 enodes (cost 15 ) 0.415 * * [simplify]: Extracting # 0 : cost 0 0.419 * * [simplify]: Extracting # 1 : cost 0 0.419 * * [simplify]: Extracting # 2 : cost 0 0.420 * * [simplify]: Extracting # 3 : cost 0 0.420 * * [simplify]: Extracting # 4 : cost 0 0.421 * * [simplify]: iteration 6 : 579 enodes (cost 15 ) 0.733 * * [simplify]: Extracting # 0 : cost 0 0.734 * * [simplify]: Extracting # 1 : cost 0 0.735 * * [simplify]: Extracting # 2 : cost 0 0.735 * * [simplify]: iteration 7 : 875 enodes (cost 15 ) 1.752 * * [simplify]: Extracting # 0 : cost 0 1.754 * * [simplify]: Extracting # 1 : cost 0 1.756 * * [simplify]: Extracting # 2 : cost 0 1.757 * * [simplify]: iteration 8 : 2271 enodes (cost 15 ) 4.440 * * [simplify]: Extracting # 0 : cost 0 4.451 * * [simplify]: Extracting # 1 : cost 0 4.458 * * [simplify]: Extracting # 2 : cost 0 4.465 * * [simplify]: Extracting # 3 : cost 0 4.472 * * [simplify]: Extracting # 4 : cost 0 4.479 * * [simplify]: iteration done: 5000 enodes (cost 15 ) 4.479 * [simplify]: Simplified to: (* (- x y) (/ (+ x y) (+ (* x x) (* y y)))) 4.484 * * [progress]: iteration 1 / 4 4.484 * * * [progress]: picking best candidate 4.490 * * * * [pick]: Picked # 4.491 * * * [progress]: localizing error 4.512 * * * [progress]: generating rewritten candidates 4.512 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.555 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.573 * * * [progress]: generating series expansions 4.573 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.574 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 4.574 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 4.574 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 4.574 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.574 * [taylor]: Taking taylor expansion of (+ x y) in y 4.574 * [taylor]: Taking taylor expansion of x in y 4.574 * [backup-simplify]: Simplify x into x 4.574 * [taylor]: Taking taylor expansion of y in y 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [taylor]: Taking taylor expansion of (- x y) in y 4.574 * [taylor]: Taking taylor expansion of x in y 4.574 * [backup-simplify]: Simplify x into x 4.574 * [taylor]: Taking taylor expansion of y in y 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.574 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.574 * [taylor]: Taking taylor expansion of x in y 4.574 * [backup-simplify]: Simplify x into x 4.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.574 * [taylor]: Taking taylor expansion of y in y 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (+ x 0) into x 4.575 * [backup-simplify]: Simplify (- 0) into 0 4.575 * [backup-simplify]: Simplify (+ x 0) into x 4.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.576 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.576 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.576 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.576 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.576 * [taylor]: Taking taylor expansion of (+ x y) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.576 * [taylor]: Taking taylor expansion of (- x y) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.576 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.576 * [backup-simplify]: Simplify (+ 0 y) into y 4.576 * [backup-simplify]: Simplify (- y) into (- y) 4.576 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.577 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.577 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.577 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.577 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 4.577 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.577 * [taylor]: Taking taylor expansion of (+ x y) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [taylor]: Taking taylor expansion of y in x 4.577 * [backup-simplify]: Simplify y into y 4.577 * [taylor]: Taking taylor expansion of (- x y) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [taylor]: Taking taylor expansion of y in x 4.577 * [backup-simplify]: Simplify y into y 4.577 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.578 * [taylor]: Taking taylor expansion of y in x 4.578 * [backup-simplify]: Simplify y into y 4.578 * [backup-simplify]: Simplify (+ 0 y) into y 4.578 * [backup-simplify]: Simplify (- y) into (- y) 4.578 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.578 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.578 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.578 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.578 * [taylor]: Taking taylor expansion of -1 in y 4.578 * [backup-simplify]: Simplify -1 into -1 4.578 * [backup-simplify]: Simplify -1 into -1 4.579 * [backup-simplify]: Simplify (- 0) into 0 4.579 * [backup-simplify]: Simplify (+ 1 0) into 1 4.580 * [backup-simplify]: Simplify (+ 1 0) into 1 4.580 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.580 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.580 * [backup-simplify]: Simplify (+ 0 0) into 0 4.581 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 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 0 into 0 4.581 * [backup-simplify]: Simplify (- 0) into 0 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [backup-simplify]: Simplify (+ 0 0) into 0 4.582 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.582 * [backup-simplify]: Simplify (* 1 1) into 1 4.583 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.583 * [backup-simplify]: Simplify (+ 1 0) into 1 4.583 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 4.583 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.583 * [taylor]: Taking taylor expansion of 2 in y 4.583 * [backup-simplify]: Simplify 2 into 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 4.584 * [backup-simplify]: Simplify (* 1 1) into 1 4.584 * [backup-simplify]: Simplify (/ 1 1) into 1 4.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify (- 0) into 0 4.587 * [backup-simplify]: Simplify (+ 0 0) into 0 4.587 * [backup-simplify]: Simplify (+ 0 0) into 0 4.588 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.588 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.589 * [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 4.589 * [taylor]: Taking taylor expansion of 0 in y 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify -1 into -1 4.589 * [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)))) 4.589 * [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 4.589 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.590 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 4.590 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.590 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.590 * [taylor]: Taking taylor expansion of x in y 4.590 * [backup-simplify]: Simplify x into x 4.590 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.590 * [taylor]: Taking taylor expansion of y in y 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (/ 1 1) into 1 4.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.590 * [taylor]: Taking taylor expansion of y in y 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify (/ 1 1) into 1 4.590 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.590 * [taylor]: Taking taylor expansion of x in y 4.590 * [backup-simplify]: Simplify x into x 4.590 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.590 * [taylor]: Taking taylor expansion of x in y 4.590 * [backup-simplify]: Simplify x into x 4.591 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.591 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.591 * [taylor]: Taking taylor expansion of y in y 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.591 * [backup-simplify]: Simplify (/ 1 1) into 1 4.591 * [backup-simplify]: Simplify (- 1) into -1 4.592 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.592 * [backup-simplify]: Simplify (+ 1 0) into 1 4.592 * [backup-simplify]: Simplify (* -1 1) into -1 4.592 * [backup-simplify]: Simplify (+ 0 1) into 1 4.593 * [backup-simplify]: Simplify (/ -1 1) into -1 4.593 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.593 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.593 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.593 * [taylor]: Taking taylor expansion of x in x 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (/ 1 1) into 1 4.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.593 * [taylor]: Taking taylor expansion of y in x 4.593 * [backup-simplify]: Simplify y into y 4.593 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.593 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.593 * [taylor]: Taking taylor expansion of y in x 4.593 * [backup-simplify]: Simplify y into y 4.593 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.593 * [taylor]: Taking taylor expansion of x in x 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ 1 1) into 1 4.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.594 * [taylor]: Taking taylor expansion of x in x 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (* 1 1) into 1 4.594 * [backup-simplify]: Simplify (/ 1 1) into 1 4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.594 * [taylor]: Taking taylor expansion of y in x 4.594 * [backup-simplify]: Simplify y into y 4.594 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.594 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.595 * [backup-simplify]: Simplify (+ 1 0) into 1 4.595 * [backup-simplify]: Simplify (+ 0 1) into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (+ 1 0) into 1 4.596 * [backup-simplify]: Simplify (/ 1 1) into 1 4.596 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.596 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 4.596 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.596 * [taylor]: Taking taylor expansion of x in x 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [backup-simplify]: Simplify (/ 1 1) into 1 4.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.596 * [taylor]: Taking taylor expansion of y in x 4.596 * [backup-simplify]: Simplify y into y 4.596 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.596 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.596 * [taylor]: Taking taylor expansion of y in x 4.596 * [backup-simplify]: Simplify y into y 4.596 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.596 * [taylor]: Taking taylor expansion of x in x 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.597 * [backup-simplify]: Simplify (/ 1 1) into 1 4.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.597 * [taylor]: Taking taylor expansion of x in x 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [backup-simplify]: Simplify (* 1 1) into 1 4.597 * [backup-simplify]: Simplify (/ 1 1) into 1 4.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.597 * [taylor]: Taking taylor expansion of y in x 4.597 * [backup-simplify]: Simplify y into y 4.597 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.598 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.598 * [backup-simplify]: Simplify (+ 1 0) into 1 4.598 * [backup-simplify]: Simplify (+ 0 1) into 1 4.598 * [backup-simplify]: Simplify (* 1 1) into 1 4.599 * [backup-simplify]: Simplify (+ 1 0) into 1 4.599 * [backup-simplify]: Simplify (/ 1 1) into 1 4.599 * [taylor]: Taking taylor expansion of 1 in y 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.599 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.600 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.600 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 4.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.602 * [taylor]: Taking taylor expansion of 0 in y 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.603 * [backup-simplify]: Simplify (- 0) into 0 4.604 * [backup-simplify]: Simplify (+ 0 0) into 0 4.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 4.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.606 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 4.606 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.606 * [taylor]: Taking taylor expansion of 2 in y 4.606 * [backup-simplify]: Simplify 2 into 2 4.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.606 * [taylor]: Taking taylor expansion of y in y 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [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 4.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.609 * [backup-simplify]: Simplify (- 0) into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (+ 0 0) into 0 4.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.612 * [backup-simplify]: Simplify (- 0) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [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 4.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.616 * [backup-simplify]: Simplify (+ 0 0) into 0 4.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.618 * [taylor]: Taking taylor expansion of 0 in y 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.619 * [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))))) 4.619 * [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 4.619 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 4.619 * [taylor]: Taking taylor expansion of -1 in y 4.619 * [backup-simplify]: Simplify -1 into -1 4.619 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 4.619 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 4.619 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.619 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.619 * [taylor]: Taking taylor expansion of y in y 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.620 * [backup-simplify]: Simplify (/ 1 1) into 1 4.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.620 * [taylor]: Taking taylor expansion of x in y 4.620 * [backup-simplify]: Simplify x into x 4.620 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.620 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.620 * [taylor]: Taking taylor expansion of y in y 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.620 * [backup-simplify]: Simplify (/ 1 1) into 1 4.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.620 * [taylor]: Taking taylor expansion of x in y 4.620 * [backup-simplify]: Simplify x into x 4.621 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.621 * [taylor]: Taking taylor expansion of x in y 4.621 * [backup-simplify]: Simplify x into x 4.621 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.621 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.621 * [taylor]: Taking taylor expansion of y in y 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (* 1 1) into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [backup-simplify]: Simplify (+ 1 0) into 1 4.623 * [backup-simplify]: Simplify (+ 1 0) into 1 4.623 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (+ 0 1) into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [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 4.625 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.625 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.625 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 4.625 * [taylor]: Taking taylor expansion of (/ 1 x) 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 4.626 * [backup-simplify]: Simplify (/ 1 1) into 1 4.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.626 * [taylor]: Taking taylor expansion of x in x 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 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 (pow y 2)) in x 4.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.627 * [taylor]: Taking taylor expansion of y in x 4.627 * [backup-simplify]: Simplify y into y 4.627 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.627 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.628 * [backup-simplify]: Simplify (+ 0 1) into 1 4.628 * [backup-simplify]: Simplify (- 1) into -1 4.629 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.629 * [backup-simplify]: Simplify (* 1 -1) into -1 4.630 * [backup-simplify]: Simplify (+ 1 0) into 1 4.630 * [backup-simplify]: Simplify (/ -1 1) into -1 4.630 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 4.630 * [taylor]: Taking taylor expansion of -1 in x 4.630 * [backup-simplify]: Simplify -1 into -1 4.630 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 4.630 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 4.630 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.630 * [taylor]: Taking taylor expansion of y in x 4.631 * [backup-simplify]: Simplify y into y 4.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.631 * [taylor]: Taking taylor expansion of x in x 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.631 * [taylor]: Taking taylor expansion of y in x 4.631 * [backup-simplify]: Simplify y into y 4.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.631 * [taylor]: Taking taylor expansion of x in x 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (/ 1 1) into 1 4.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.632 * [taylor]: Taking taylor expansion of x in x 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (* 1 1) into 1 4.633 * [backup-simplify]: Simplify (/ 1 1) into 1 4.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.633 * [taylor]: Taking taylor expansion of y in x 4.633 * [backup-simplify]: Simplify y into y 4.633 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.633 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.634 * [backup-simplify]: Simplify (+ 0 1) into 1 4.634 * [backup-simplify]: Simplify (- 1) into -1 4.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.635 * [backup-simplify]: Simplify (* 1 -1) into -1 4.635 * [backup-simplify]: Simplify (+ 1 0) into 1 4.636 * [backup-simplify]: Simplify (/ -1 1) into -1 4.636 * [backup-simplify]: Simplify (* -1 -1) into 1 4.636 * [taylor]: Taking taylor expansion of 1 in y 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify (- 0) into 0 4.638 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.639 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 4.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (+ 0 0) into 0 4.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.649 * [taylor]: Taking taylor expansion of 0 in y 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (- 0) into 0 4.651 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.657 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 4.658 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 4.658 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.658 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.658 * [taylor]: Taking taylor expansion of 2 in y 4.658 * [backup-simplify]: Simplify 2 into 2 4.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.658 * [taylor]: Taking taylor expansion of y in y 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 1 into 1 4.658 * [backup-simplify]: Simplify (* 1 1) into 1 4.659 * [backup-simplify]: Simplify (/ 1 1) into 1 4.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.663 * [backup-simplify]: Simplify (- 0) into 0 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (- 0) into 0 4.665 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.667 * [backup-simplify]: Simplify (+ 0 0) into 0 4.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.671 * [backup-simplify]: Simplify (+ 0 0) into 0 4.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 4.674 * [taylor]: Taking taylor expansion of 0 in y 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.675 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 4.675 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 4.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.675 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.675 * [taylor]: Taking taylor expansion of x in y 4.675 * [backup-simplify]: Simplify x into x 4.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.675 * [taylor]: Taking taylor expansion of y in y 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.675 * [taylor]: Taking taylor expansion of y in x 4.675 * [backup-simplify]: Simplify y into y 4.675 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.675 * [taylor]: Taking taylor expansion of x in x 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.675 * [taylor]: Taking taylor expansion of y in x 4.675 * [backup-simplify]: Simplify y into y 4.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.676 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 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 4.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.676 * [backup-simplify]: Simplify (+ 0 0) into 0 4.676 * [taylor]: Taking taylor expansion of 0 in y 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (* 1 1) into 1 4.677 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.678 * [backup-simplify]: Simplify (+ 1 0) into 1 4.678 * [taylor]: Taking taylor expansion of 1 in y 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify (* 1 1) into 1 4.678 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) 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 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.681 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.683 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) 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 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 4.685 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.685 * [taylor]: Taking taylor expansion of x in y 4.685 * [backup-simplify]: Simplify x into x 4.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.685 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.685 * [taylor]: Taking taylor expansion of y in y 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 1 into 1 4.686 * [backup-simplify]: Simplify (* 1 1) into 1 4.686 * [backup-simplify]: Simplify (/ 1 1) into 1 4.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.686 * [taylor]: Taking taylor expansion of x in x 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (* 1 1) into 1 4.687 * [backup-simplify]: Simplify (/ 1 1) into 1 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.687 * [taylor]: Taking taylor expansion of y in x 4.687 * [backup-simplify]: Simplify y into y 4.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.687 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.687 * [taylor]: Taking taylor expansion of x in x 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (* 1 1) into 1 4.688 * [backup-simplify]: Simplify (/ 1 1) into 1 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.688 * [taylor]: Taking taylor expansion of y in x 4.688 * [backup-simplify]: Simplify y into y 4.688 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.689 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.689 * [backup-simplify]: Simplify (+ 1 0) into 1 4.689 * [taylor]: Taking taylor expansion of 1 in y 4.689 * [backup-simplify]: Simplify 1 into 1 4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (+ 0 0) into 0 4.691 * [taylor]: Taking taylor expansion of 0 in y 4.691 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.693 * [taylor]: Taking taylor expansion of y in y 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify 1 into 1 4.693 * [backup-simplify]: Simplify (* 1 1) into 1 4.694 * [backup-simplify]: Simplify (/ 1 1) into 1 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.697 * [backup-simplify]: Simplify (+ 0 0) into 0 4.697 * [taylor]: Taking taylor expansion of 0 in y 4.697 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [taylor]: Taking taylor expansion of 0 in y 4.702 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.704 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.704 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.705 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.705 * [taylor]: Taking taylor expansion of x in y 4.705 * [backup-simplify]: Simplify x into x 4.705 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.705 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.705 * [taylor]: Taking taylor expansion of y in y 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.705 * [backup-simplify]: Simplify (* 1 1) into 1 4.706 * [backup-simplify]: Simplify (/ 1 1) into 1 4.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.706 * [taylor]: Taking taylor expansion of x in x 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (* 1 1) into 1 4.707 * [backup-simplify]: Simplify (/ 1 1) into 1 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.707 * [taylor]: Taking taylor expansion of y in x 4.707 * [backup-simplify]: Simplify y into y 4.707 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.707 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.707 * [taylor]: Taking taylor expansion of x in x 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.708 * [backup-simplify]: Simplify (* 1 1) into 1 4.708 * [backup-simplify]: Simplify (/ 1 1) into 1 4.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.708 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.708 * [taylor]: Taking taylor expansion of y in x 4.708 * [backup-simplify]: Simplify y into y 4.708 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.709 * [backup-simplify]: Simplify (+ 1 0) into 1 4.709 * [taylor]: Taking taylor expansion of 1 in y 4.709 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [taylor]: Taking taylor expansion of 0 in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.712 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.713 * [taylor]: Taking taylor expansion of y in y 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (* 1 1) into 1 4.713 * [backup-simplify]: Simplify (/ 1 1) into 1 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [taylor]: Taking taylor expansion of 0 in y 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.720 * [backup-simplify]: Simplify (+ 0 0) into 0 4.721 * [taylor]: Taking taylor expansion of 0 in y 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.723 * * * [progress]: simplifying candidates 4.724 * [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)) 4.727 * * [simplify]: Extracting # 0 : cost 0 4.727 * * [simplify]: Extracting # 1 : cost 0 4.727 * * [simplify]: Extracting # 2 : cost 0 4.727 * * [simplify]: Extracting # 3 : cost 0 4.728 * * [simplify]: Extracting # 4 : cost 0 4.728 * * [simplify]: Extracting # 5 : cost 0 4.728 * * [simplify]: Extracting # 6 : cost 0 4.728 * * [simplify]: Extracting # 7 : cost 0 4.729 * * [simplify]: iteration 0 : 91 enodes (cost 826 ) 4.753 * * [simplify]: Extracting # 0 : cost 0 4.754 * * [simplify]: Extracting # 1 : cost 0 4.754 * * [simplify]: Extracting # 2 : cost 0 4.755 * * [simplify]: Extracting # 3 : cost 0 4.755 * * [simplify]: Extracting # 4 : cost 0 4.755 * * [simplify]: iteration 1 : 303 enodes (cost 802 ) 4.950 * * [simplify]: Extracting # 0 : cost 0 4.951 * * [simplify]: Extracting # 1 : cost 0 4.953 * * [simplify]: Extracting # 2 : cost 0 4.955 * * [simplify]: Extracting # 3 : cost 0 4.956 * * [simplify]: Extracting # 4 : cost 0 4.958 * * [simplify]: Extracting # 5 : cost 0 4.960 * * [simplify]: iteration 2 : 1443 enodes (cost 662 ) 5.545 * * [simplify]: Extracting # 0 : cost 0 5.554 * * [simplify]: Extracting # 1 : cost 0 5.567 * * [simplify]: Extracting # 2 : cost 0 5.578 * * [simplify]: Extracting # 3 : cost 0 5.588 * * [simplify]: Extracting # 4 : cost 0 5.600 * * [simplify]: iteration done: 5000 enodes (cost 655 ) 5.601 * [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)) 5.601 * * * [progress]: adding candidates to table 5.769 * * [progress]: iteration 2 / 4 5.769 * * * [progress]: picking best candidate 5.773 * * * * [pick]: Picked # 5.773 * * * [progress]: localizing error 5.773 * * * [progress]: generating rewritten candidates 5.773 * * * [progress]: generating series expansions 5.773 * * * [progress]: simplifying candidates 5.774 * [simplify]: Simplifying: 5.774 * * [simplify]: Extracting # 0 : cost 0 5.774 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.774 * * [simplify]: Extracting # 0 : cost 0 5.774 * * [simplify]: iteration done: 0 enodes (cost 0 ) 5.774 * [simplify]: Simplified to: 5.774 * * * [progress]: adding candidates to table 5.774 * * [progress]: iteration 3 / 4 5.774 * * * [progress]: picking best candidate 5.781 * * * * [pick]: Picked # 5.781 * * * [progress]: localizing error 5.804 * * * [progress]: generating rewritten candidates 5.804 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.893 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.010 * * * [progress]: generating series expansions 6.010 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.011 * [backup-simplify]: Simplify (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) into (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 6.011 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in (x y) around 0 6.011 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in y 6.011 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 6.011 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.011 * [taylor]: Taking taylor expansion of x in y 6.011 * [backup-simplify]: Simplify x into x 6.011 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.011 * [taylor]: Taking taylor expansion of y in y 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 6.011 * [taylor]: Taking taylor expansion of (+ x y) in y 6.011 * [taylor]: Taking taylor expansion of x in y 6.011 * [backup-simplify]: Simplify x into x 6.011 * [taylor]: Taking taylor expansion of y in y 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.012 * [taylor]: Taking taylor expansion of (- x y) in y 6.012 * [taylor]: Taking taylor expansion of x in y 6.012 * [backup-simplify]: Simplify x into x 6.012 * [taylor]: Taking taylor expansion of y in y 6.012 * [backup-simplify]: Simplify 0 into 0 6.012 * [backup-simplify]: Simplify 1 into 1 6.012 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.012 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.012 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 6.012 * [backup-simplify]: Simplify (+ x 0) into x 6.013 * [backup-simplify]: Simplify (- 0) into 0 6.013 * [backup-simplify]: Simplify (+ x 0) into x 6.013 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.014 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 6.014 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in x 6.014 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.014 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.014 * [taylor]: Taking taylor expansion of y in x 6.014 * [backup-simplify]: Simplify y into y 6.014 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.014 * [taylor]: Taking taylor expansion of (+ x y) in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [taylor]: Taking taylor expansion of y in x 6.014 * [backup-simplify]: Simplify y into y 6.014 * [taylor]: Taking taylor expansion of (- x y) in x 6.014 * [taylor]: Taking taylor expansion of x in x 6.014 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [taylor]: Taking taylor expansion of y in x 6.014 * [backup-simplify]: Simplify y into y 6.014 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.015 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.015 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.015 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.015 * [backup-simplify]: Simplify (+ 0 y) into y 6.015 * [backup-simplify]: Simplify (- y) into (- y) 6.015 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.015 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.016 * [backup-simplify]: Simplify (/ (- (pow y 4)) (* -1 (pow y 2))) into (pow y 2) 6.016 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) in x 6.016 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.016 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.016 * [taylor]: Taking taylor expansion of x in x 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.016 * [taylor]: Taking taylor expansion of y in x 6.016 * [backup-simplify]: Simplify y into y 6.016 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 6.016 * [taylor]: Taking taylor expansion of (+ x y) in x 6.016 * [taylor]: Taking taylor expansion of x in x 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of y in x 6.016 * [backup-simplify]: Simplify y into y 6.016 * [taylor]: Taking taylor expansion of (- x y) in x 6.016 * [taylor]: Taking taylor expansion of x in x 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of y in x 6.016 * [backup-simplify]: Simplify y into y 6.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.017 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.017 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.017 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.017 * [backup-simplify]: Simplify (+ 0 y) into y 6.017 * [backup-simplify]: Simplify (- y) into (- y) 6.017 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.017 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 6.018 * [backup-simplify]: Simplify (/ (- (pow y 4)) (* -1 (pow y 2))) into (pow y 2) 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 6.018 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.018 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 6.019 * [backup-simplify]: Simplify (- 0) into 0 6.019 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (- 0) into 0 6.020 * [backup-simplify]: Simplify (+ 1 0) into 1 6.021 * [backup-simplify]: Simplify (+ 1 0) into 1 6.021 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 6.021 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 0 (* -1 (pow y 2)))))) into 0 6.021 * [taylor]: Taking taylor expansion of 0 in y 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.023 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify (+ 0 0) into 0 6.024 * [backup-simplify]: Simplify (- 0) into 0 6.024 * [backup-simplify]: Simplify (+ 0 0) into 0 6.025 * [backup-simplify]: Simplify (+ 0 0) into 0 6.025 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 6.026 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into 1 6.026 * [taylor]: Taking taylor expansion of 1 in y 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify (* 1 1) into 1 6.027 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.029 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.029 * [backup-simplify]: Simplify (- 0) into 0 6.029 * [backup-simplify]: Simplify (+ 0 0) into 0 6.030 * [backup-simplify]: Simplify (- 0) into 0 6.030 * [backup-simplify]: Simplify (+ 0 0) into 0 6.031 * [backup-simplify]: Simplify (+ 0 0) into 0 6.031 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 6.032 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* 1 (/ 0 (* -1 (pow y 2)))))) into 0 6.032 * [taylor]: Taking taylor expansion of 0 in y 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.033 * [backup-simplify]: Simplify 0 into 0 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.035 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.036 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify (+ 1 0) into 1 6.038 * [backup-simplify]: Simplify (- 0) into 0 6.038 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (+ 0 0) into 0 6.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 6.041 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* (pow y 2) (/ 0 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))) (* 1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into 0 6.041 * [taylor]: Taking taylor expansion of 0 in y 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 6.042 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) 6.042 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 6.042 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 6.042 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.042 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.042 * [taylor]: Taking taylor expansion of x in y 6.042 * [backup-simplify]: Simplify x into x 6.042 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.042 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.042 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.042 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.042 * [taylor]: Taking taylor expansion of y in y 6.042 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (* 1 1) into 1 6.043 * [backup-simplify]: Simplify (* 1 1) into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.044 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 6.044 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 6.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.044 * [taylor]: Taking taylor expansion of x in y 6.044 * [backup-simplify]: Simplify x into x 6.044 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.044 * [taylor]: Taking taylor expansion of y in y 6.044 * [backup-simplify]: Simplify 0 into 0 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.044 * [taylor]: Taking taylor expansion of y in y 6.044 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [backup-simplify]: Simplify (/ 1 1) into 1 6.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.045 * [taylor]: Taking taylor expansion of x in y 6.045 * [backup-simplify]: Simplify x into x 6.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.045 * [backup-simplify]: Simplify (- 1) into -1 6.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.046 * [backup-simplify]: Simplify (- 1) into -1 6.047 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.047 * [backup-simplify]: Simplify (+ 1 0) into 1 6.047 * [backup-simplify]: Simplify (* -1 1) into -1 6.048 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.048 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 6.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.048 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.048 * [taylor]: Taking taylor expansion of x in x 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 1 into 1 6.048 * [backup-simplify]: Simplify (* 1 1) into 1 6.049 * [backup-simplify]: Simplify (* 1 1) into 1 6.049 * [backup-simplify]: Simplify (/ 1 1) into 1 6.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.049 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.049 * [taylor]: Taking taylor expansion of y in x 6.049 * [backup-simplify]: Simplify y into y 6.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.050 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.050 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.050 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.050 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.050 * [taylor]: Taking taylor expansion of x in x 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 1 into 1 6.050 * [backup-simplify]: Simplify (/ 1 1) into 1 6.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.050 * [taylor]: Taking taylor expansion of y in x 6.050 * [backup-simplify]: Simplify y into y 6.050 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.050 * [taylor]: Taking taylor expansion of y in x 6.051 * [backup-simplify]: Simplify y into y 6.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.051 * [taylor]: Taking taylor expansion of x in x 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.051 * [backup-simplify]: Simplify (/ 1 1) into 1 6.051 * [backup-simplify]: Simplify (+ 1 0) into 1 6.052 * [backup-simplify]: Simplify (+ 1 0) into 1 6.052 * [backup-simplify]: Simplify (+ 0 1) into 1 6.053 * [backup-simplify]: Simplify (* 1 1) into 1 6.053 * [backup-simplify]: Simplify (/ 1 1) into 1 6.053 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 6.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.053 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.053 * [taylor]: Taking taylor expansion of x in x 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (* 1 1) into 1 6.054 * [backup-simplify]: Simplify (* 1 1) into 1 6.054 * [backup-simplify]: Simplify (/ 1 1) into 1 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.054 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.054 * [taylor]: Taking taylor expansion of y in x 6.055 * [backup-simplify]: Simplify y into y 6.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.055 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.055 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.055 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 6.055 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.055 * [taylor]: Taking taylor expansion of x in x 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.056 * [taylor]: Taking taylor expansion of y in x 6.056 * [backup-simplify]: Simplify y into y 6.056 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.056 * [taylor]: Taking taylor expansion of y in x 6.056 * [backup-simplify]: Simplify y into y 6.056 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.056 * [taylor]: Taking taylor expansion of x in x 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.057 * [backup-simplify]: Simplify (+ 1 0) into 1 6.057 * [backup-simplify]: Simplify (+ 1 0) into 1 6.058 * [backup-simplify]: Simplify (+ 0 1) into 1 6.058 * [backup-simplify]: Simplify (* 1 1) into 1 6.058 * [backup-simplify]: Simplify (/ 1 1) into 1 6.059 * [taylor]: Taking taylor expansion of 1 in y 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.061 * [backup-simplify]: Simplify (+ 0 0) into 0 6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.062 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.063 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.063 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.063 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 6.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.064 * [taylor]: Taking taylor expansion of 0 in y 6.064 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.070 * [backup-simplify]: Simplify (- 0) into 0 6.070 * [backup-simplify]: Simplify (+ 0 0) into 0 6.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 6.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y 2)) 6.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.073 * [taylor]: Taking taylor expansion of y in y 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (* 1 1) into 1 6.074 * [backup-simplify]: Simplify (/ 1 1) into 1 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (+ 0 0) into 0 6.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (+ 0 0) into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.081 * [backup-simplify]: Simplify (- 0) into 0 6.081 * [backup-simplify]: Simplify (+ 0 0) into 0 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (/ 1 (pow y 2)) (/ 0 1)))) into 0 6.084 * [taylor]: Taking taylor expansion of 0 in y 6.084 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 0 into 0 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.100 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 6.100 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 6.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (+ 0 0) into 0 6.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.103 * [backup-simplify]: Simplify (- 0) into 0 6.104 * [backup-simplify]: Simplify (+ 0 0) into 0 6.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 6.107 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 (pow y 2)) (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into 0 6.107 * [taylor]: Taking taylor expansion of 0 in y 6.107 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 0 into 0 6.110 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.111 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 6.111 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 6.111 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 6.111 * [taylor]: Taking taylor expansion of -1 in y 6.111 * [backup-simplify]: Simplify -1 into -1 6.111 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 6.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.111 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.111 * [taylor]: Taking taylor expansion of x in y 6.111 * [backup-simplify]: Simplify x into x 6.111 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.111 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.112 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.112 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.112 * [taylor]: Taking taylor expansion of y in y 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [backup-simplify]: Simplify (* 1 1) into 1 6.113 * [backup-simplify]: Simplify (* 1 1) into 1 6.113 * [backup-simplify]: Simplify (/ 1 1) into 1 6.113 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 6.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.113 * [taylor]: Taking taylor expansion of y in y 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (/ 1 1) into 1 6.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.114 * [taylor]: Taking taylor expansion of x in y 6.114 * [backup-simplify]: Simplify x into x 6.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.114 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 6.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.114 * [taylor]: Taking taylor expansion of y in y 6.114 * [backup-simplify]: Simplify 0 into 0 6.114 * [backup-simplify]: Simplify 1 into 1 6.114 * [backup-simplify]: Simplify (/ 1 1) into 1 6.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.114 * [taylor]: Taking taylor expansion of x in y 6.114 * [backup-simplify]: Simplify x into x 6.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.115 * [backup-simplify]: Simplify (- 1) into -1 6.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.116 * [backup-simplify]: Simplify (+ 1 0) into 1 6.116 * [backup-simplify]: Simplify (+ 1 0) into 1 6.116 * [backup-simplify]: Simplify (* 1 1) into 1 6.117 * [backup-simplify]: Simplify (/ -1 1) into -1 6.117 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 6.117 * [taylor]: Taking taylor expansion of -1 in x 6.117 * [backup-simplify]: Simplify -1 into -1 6.117 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 6.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.117 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.117 * [taylor]: Taking taylor expansion of x in x 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (* 1 1) into 1 6.118 * [backup-simplify]: Simplify (* 1 1) into 1 6.118 * [backup-simplify]: Simplify (/ 1 1) into 1 6.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.118 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.118 * [taylor]: Taking taylor expansion of y in x 6.118 * [backup-simplify]: Simplify y into y 6.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.119 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.119 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.119 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.119 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.119 * [taylor]: Taking taylor expansion of y in x 6.119 * [backup-simplify]: Simplify y into y 6.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.119 * [taylor]: Taking taylor expansion of x in x 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.120 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.120 * [taylor]: Taking taylor expansion of y in x 6.120 * [backup-simplify]: Simplify y into y 6.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.120 * [taylor]: Taking taylor expansion of x in x 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify 1 into 1 6.120 * [backup-simplify]: Simplify (/ 1 1) into 1 6.121 * [backup-simplify]: Simplify (+ 1 0) into 1 6.121 * [backup-simplify]: Simplify (+ 0 1) into 1 6.121 * [backup-simplify]: Simplify (- 1) into -1 6.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.122 * [backup-simplify]: Simplify (* 1 -1) into -1 6.123 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.123 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 6.123 * [taylor]: Taking taylor expansion of -1 in x 6.123 * [backup-simplify]: Simplify -1 into -1 6.123 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 6.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.123 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.123 * [taylor]: Taking taylor expansion of x in x 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [backup-simplify]: Simplify (* 1 1) into 1 6.124 * [backup-simplify]: Simplify (* 1 1) into 1 6.124 * [backup-simplify]: Simplify (/ 1 1) into 1 6.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.124 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.124 * [taylor]: Taking taylor expansion of y in x 6.124 * [backup-simplify]: Simplify y into y 6.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.125 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.125 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.125 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 6.125 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.125 * [taylor]: Taking taylor expansion of y in x 6.125 * [backup-simplify]: Simplify y into y 6.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.125 * [taylor]: Taking taylor expansion of x in x 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify (/ 1 1) into 1 6.125 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.125 * [taylor]: Taking taylor expansion of y in x 6.126 * [backup-simplify]: Simplify y into y 6.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.126 * [taylor]: Taking taylor expansion of x in x 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (/ 1 1) into 1 6.126 * [backup-simplify]: Simplify (+ 1 0) into 1 6.127 * [backup-simplify]: Simplify (+ 0 1) into 1 6.127 * [backup-simplify]: Simplify (- 1) into -1 6.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.128 * [backup-simplify]: Simplify (* 1 -1) into -1 6.128 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.129 * [backup-simplify]: Simplify (* -1 -1) into 1 6.129 * [taylor]: Taking taylor expansion of 1 in y 6.129 * [backup-simplify]: Simplify 1 into 1 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.132 * [backup-simplify]: Simplify (- 0) into 0 6.133 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.134 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 6.134 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 6.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.135 * [taylor]: Taking taylor expansion of 0 in y 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (- 0) into 0 6.140 * [backup-simplify]: Simplify (+ 0 0) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.142 * [backup-simplify]: Simplify (+ 0 0) into 0 6.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 6.144 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ 1 (pow y 2))) 6.145 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (/ 1 (pow y 2)) 6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.145 * [taylor]: Taking taylor expansion of y in y 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [backup-simplify]: Simplify 1 into 1 6.145 * [backup-simplify]: Simplify (* 1 1) into 1 6.146 * [backup-simplify]: Simplify (/ 1 1) into 1 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ 0 0) into 0 6.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.151 * [backup-simplify]: Simplify (- 0) into 0 6.151 * [backup-simplify]: Simplify (+ 0 0) into 0 6.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 6.155 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (/ 1 (pow y 2))) (/ 0 -1)))) into 0 6.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 6.156 * [taylor]: Taking taylor expansion of 0 in y 6.156 * [backup-simplify]: Simplify 0 into 0 6.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (- (/ 1 (pow y 4))) into (- (/ 1 (pow y 4))) 6.162 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 4)))) into (- (/ 1 (pow y 4))) 6.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.163 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.165 * [backup-simplify]: Simplify (+ 0 0) into 0 6.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 6.168 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 4))) -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (/ 1 (pow y 2))) (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into 0 6.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))))) into 0 6.170 * [taylor]: Taking taylor expansion of 0 in y 6.170 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.173 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.173 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) into (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) 6.173 * [approximate]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in (x y) around 0 6.173 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in y 6.173 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow (- x y) 2)) in y 6.173 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 6.173 * [taylor]: Taking taylor expansion of (+ x y) in y 6.173 * [taylor]: Taking taylor expansion of x in y 6.173 * [backup-simplify]: Simplify x into x 6.173 * [taylor]: Taking taylor expansion of y in y 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (+ x 0) into x 6.174 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in y 6.174 * [taylor]: Taking taylor expansion of (- x y) in y 6.174 * [taylor]: Taking taylor expansion of x in y 6.174 * [backup-simplify]: Simplify x into x 6.174 * [taylor]: Taking taylor expansion of y in y 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (- 0) into 0 6.174 * [backup-simplify]: Simplify (+ x 0) into x 6.174 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in y 6.174 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.174 * [taylor]: Taking taylor expansion of x in y 6.174 * [backup-simplify]: Simplify x into x 6.174 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.174 * [taylor]: Taking taylor expansion of y in y 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.174 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.175 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.175 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.175 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.175 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.175 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 6.175 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 4)) into 1 6.175 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in x 6.175 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow (- x y) 2)) in x 6.175 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 6.175 * [taylor]: Taking taylor expansion of (+ x y) in x 6.176 * [taylor]: Taking taylor expansion of x in x 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [taylor]: Taking taylor expansion of y in x 6.176 * [backup-simplify]: Simplify y into y 6.176 * [backup-simplify]: Simplify (+ 0 y) into y 6.176 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 6.176 * [taylor]: Taking taylor expansion of (- x y) in x 6.176 * [taylor]: Taking taylor expansion of x in x 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [taylor]: Taking taylor expansion of y in x 6.176 * [backup-simplify]: Simplify y into y 6.176 * [backup-simplify]: Simplify (- y) into (- y) 6.176 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.176 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.176 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.176 * [taylor]: Taking taylor expansion of x in x 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.176 * [taylor]: Taking taylor expansion of y in x 6.176 * [backup-simplify]: Simplify y into y 6.176 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.176 * [backup-simplify]: Simplify (* (- y) (- y)) into (pow y 2) 6.177 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.177 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.177 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.177 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.177 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.177 * [backup-simplify]: Simplify (/ (pow y 4) (- (pow y 4))) into -1 6.177 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (pow (- x y) 2)) (- (pow x 4) (pow y 4))) in x 6.177 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow (- x y) 2)) in x 6.177 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 6.177 * [taylor]: Taking taylor expansion of (+ x y) in x 6.177 * [taylor]: Taking taylor expansion of x in x 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.178 * [taylor]: Taking taylor expansion of y in x 6.178 * [backup-simplify]: Simplify y into y 6.178 * [backup-simplify]: Simplify (+ 0 y) into y 6.178 * [taylor]: Taking taylor expansion of (pow (- x y) 2) in x 6.178 * [taylor]: Taking taylor expansion of (- x y) in x 6.178 * [taylor]: Taking taylor expansion of x in x 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.178 * [taylor]: Taking taylor expansion of y in x 6.178 * [backup-simplify]: Simplify y into y 6.178 * [backup-simplify]: Simplify (- y) into (- y) 6.178 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.178 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 4)) in x 6.178 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.178 * [taylor]: Taking taylor expansion of x in x 6.178 * [backup-simplify]: Simplify 0 into 0 6.178 * [backup-simplify]: Simplify 1 into 1 6.178 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.178 * [taylor]: Taking taylor expansion of y in x 6.178 * [backup-simplify]: Simplify y into y 6.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.178 * [backup-simplify]: Simplify (* (- y) (- y)) into (pow y 2) 6.178 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.178 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.179 * [backup-simplify]: Simplify (- (pow y 4)) into (- (pow y 4)) 6.179 * [backup-simplify]: Simplify (+ 0 (- (pow y 4))) into (- (pow y 4)) 6.179 * [backup-simplify]: Simplify (/ (pow y 4) (- (pow y 4))) into -1 6.179 * [taylor]: Taking taylor expansion of -1 in y 6.179 * [backup-simplify]: Simplify -1 into -1 6.179 * [backup-simplify]: Simplify -1 into -1 6.179 * [backup-simplify]: Simplify (- 0) into 0 6.180 * [backup-simplify]: Simplify (+ 1 0) into 1 6.180 * [backup-simplify]: Simplify (+ (* (- y) 1) (* 1 (- y))) into (- (* 2 y)) 6.180 * [backup-simplify]: Simplify (+ 1 0) into 1 6.180 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 6.180 * [backup-simplify]: Simplify (+ (* (pow y 2) (- (* 2 y))) (* (* 2 y) (pow y 2))) into 0 6.180 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.180 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 (pow y 2))) into 0 6.181 * [backup-simplify]: Simplify (- 0) into 0 6.181 * [backup-simplify]: Simplify (+ 0 0) into 0 6.181 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 4))) (+ (* -1 (/ 0 (- (pow y 4)))))) into 0 6.181 * [taylor]: Taking taylor expansion of 0 in y 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify 0 into 0 6.181 * [backup-simplify]: Simplify (- 0) into 0 6.182 * [backup-simplify]: Simplify (+ 0 0) into 0 6.182 * [backup-simplify]: Simplify (+ (* (- y) 0) (+ (* 1 1) (* 0 (- y)))) into 1 6.182 * [backup-simplify]: Simplify (+ 0 0) into 0 6.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 6.183 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (+ (* (* 2 y) (- (* 2 y))) (* 1 (pow y 2)))) into (- (* 2 (pow y 2))) 6.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.184 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.184 * [backup-simplify]: Simplify (- 0) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (- (/ (- (* 2 (pow y 2))) (- (pow y 4))) (+ (* -1 (/ 0 (- (pow y 4)))) (* 0 (/ 0 (- (pow y 4)))))) into (* 2 (/ 1 (pow y 2))) 6.184 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.184 * [taylor]: Taking taylor expansion of 2 in y 6.184 * [backup-simplify]: Simplify 2 into 2 6.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.184 * [taylor]: Taking taylor expansion of y in y 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.185 * [backup-simplify]: Simplify (* 1 1) into 1 6.185 * [backup-simplify]: Simplify (/ 1 1) into 1 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify (- 0) into 0 6.188 * [backup-simplify]: Simplify (+ 0 0) into 0 6.189 * [backup-simplify]: Simplify (+ (* (- y) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 6.189 * [backup-simplify]: Simplify (+ 0 0) into 0 6.189 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 6.190 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* (* 2 y) 1) (+ (* 1 (- (* 2 y))) (* 0 (pow y 2))))) into 0 6.190 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.191 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.191 * [backup-simplify]: Simplify (- 0) into 0 6.191 * [backup-simplify]: Simplify (+ 0 0) into 0 6.192 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 4))) (+ (* -1 (/ 0 (- (pow y 4)))) (* 0 (/ 0 (- (pow y 4)))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (- (pow y 4)))))) into 0 6.192 * [taylor]: Taking taylor expansion of 0 in y 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify -1 into -1 6.192 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 4)) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))))) into (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 6.192 * [approximate]: Taking taylor expansion of (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 6.192 * [taylor]: Taking taylor expansion of (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 6.192 * [taylor]: Taking taylor expansion of (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 6.192 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in y 6.192 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 6.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.192 * [taylor]: Taking taylor expansion of x in y 6.192 * [backup-simplify]: Simplify x into x 6.192 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 6.193 * [backup-simplify]: Simplify (/ 1 1) into 1 6.193 * [backup-simplify]: Simplify (- 1) into -1 6.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.193 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 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 * [backup-simplify]: Simplify (+ 1 0) into 1 6.194 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.194 * [taylor]: Taking taylor expansion of (pow x 4) 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 (* (pow x 2) (pow x 2)) into (pow x 4) 6.194 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.194 * [taylor]: Taking taylor expansion of (pow y 4) 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 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.196 * [backup-simplify]: Simplify (* -1 -1) into 1 6.196 * [backup-simplify]: Simplify (* 1 1) into 1 6.196 * [backup-simplify]: Simplify (* 1 1) into 1 6.196 * [backup-simplify]: Simplify (- 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 (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.197 * [taylor]: Taking taylor expansion of (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 6.197 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 6.197 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.197 * [taylor]: Taking taylor expansion of x in x 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.197 * [taylor]: Taking taylor expansion of y in x 6.197 * [backup-simplify]: Simplify y into y 6.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.198 * [backup-simplify]: Simplify (+ 1 0) into 1 6.198 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 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 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [backup-simplify]: Simplify (+ 0 1) into 1 6.198 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.198 * [taylor]: Taking taylor expansion of (pow x 4) 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 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (* 1 1) into 1 6.199 * [backup-simplify]: Simplify (/ 1 1) into 1 6.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.199 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.199 * [taylor]: Taking taylor expansion of y in x 6.199 * [backup-simplify]: Simplify y into y 6.199 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.199 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.199 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.200 * [backup-simplify]: Simplify (* 1 1) into 1 6.200 * [backup-simplify]: Simplify (* 1 1) into 1 6.200 * [backup-simplify]: Simplify (* 1 1) into 1 6.200 * [backup-simplify]: Simplify (+ 1 0) into 1 6.201 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [taylor]: Taking taylor expansion of (/ (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.201 * [taylor]: Taking taylor expansion of (* (pow (- (/ 1 x) (/ 1 y)) 2) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 6.201 * [taylor]: Taking taylor expansion of (pow (- (/ 1 x) (/ 1 y)) 2) in x 6.201 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 6.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.201 * [taylor]: Taking taylor expansion of x in x 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ 1 1) into 1 6.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.201 * [taylor]: Taking taylor expansion of y in x 6.201 * [backup-simplify]: Simplify y into y 6.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.201 * [backup-simplify]: Simplify (+ 1 0) into 1 6.201 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 6.201 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.201 * [taylor]: Taking taylor expansion of y in x 6.202 * [backup-simplify]: Simplify y into y 6.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.202 * [taylor]: Taking taylor expansion of x in x 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (/ 1 1) into 1 6.202 * [backup-simplify]: Simplify (+ 0 1) into 1 6.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.202 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.202 * [taylor]: Taking taylor expansion of x in x 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (* 1 1) into 1 6.203 * [backup-simplify]: Simplify (* 1 1) into 1 6.203 * [backup-simplify]: Simplify (/ 1 1) into 1 6.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.203 * [taylor]: Taking taylor expansion of (pow y 4) 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 (* y y) into (pow y 2) 6.203 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.203 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.204 * [backup-simplify]: Simplify (* 1 1) into 1 6.204 * [backup-simplify]: Simplify (* 1 1) into 1 6.204 * [backup-simplify]: Simplify (* 1 1) into 1 6.204 * [backup-simplify]: Simplify (+ 1 0) into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.205 * [taylor]: Taking taylor expansion of 1 in y 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.205 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 6.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.206 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.206 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.206 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (- (/ 1 y)) 1)) into (- (* 2 (/ 1 y))) 6.206 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (* (- (* 2 (/ 1 y))) 1)) into 0 6.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.207 * [backup-simplify]: Simplify (+ 0 0) into 0 6.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.208 * [taylor]: Taking taylor expansion of 0 in y 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ 0 0) into 0 6.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 6.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.211 * [backup-simplify]: Simplify (+ 0 0) into 0 6.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (* 0 1))) into (/ 1 (pow y 2)) 6.212 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (* 2 (/ 1 y))) (* 2 (/ 1 y))) (* (/ 1 (pow y 2)) 1))) into (- (* 2 (/ 1 (pow y 2)))) 6.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify (+ 0 0) into 0 6.216 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 6.216 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.216 * [taylor]: Taking taylor expansion of 2 in y 6.217 * [backup-simplify]: Simplify 2 into 2 6.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.217 * [taylor]: Taking taylor expansion of y in y 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 1 into 1 6.217 * [backup-simplify]: Simplify (* 1 1) into 1 6.217 * [backup-simplify]: Simplify (/ 1 1) into 1 6.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.222 * [backup-simplify]: Simplify (- 0) into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.223 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.226 * [backup-simplify]: Simplify (- 0) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (* 2 (/ 1 y))) (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) (* 2 (/ 1 y))) (* 0 1)))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (+ 0 0) into 0 6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) 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 1 into 1 6.242 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 4)) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))))) into (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) 6.242 * [approximate]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in (x y) around 0 6.242 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in y 6.242 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in y 6.242 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 6.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.242 * [taylor]: Taking taylor expansion of (/ 1 y) 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 6.243 * [backup-simplify]: Simplify (/ 1 1) into 1 6.243 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.243 * [taylor]: Taking taylor expansion of x in y 6.243 * [backup-simplify]: Simplify x into x 6.243 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.243 * [backup-simplify]: Simplify (+ 1 0) into 1 6.243 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in y 6.243 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 6.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.243 * [taylor]: Taking taylor expansion of y in y 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 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.244 * [taylor]: Taking taylor expansion of x in y 6.244 * [backup-simplify]: Simplify x into x 6.244 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.244 * [backup-simplify]: Simplify (+ 1 0) into 1 6.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in y 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.244 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.244 * [taylor]: Taking taylor expansion of x in y 6.244 * [backup-simplify]: Simplify x into x 6.244 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.244 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.244 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.244 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.244 * [taylor]: Taking taylor expansion of y in y 6.244 * [backup-simplify]: Simplify 0 into 0 6.244 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (* 1 1) into 1 6.245 * [backup-simplify]: Simplify (* 1 1) into 1 6.245 * [backup-simplify]: Simplify (/ 1 1) into 1 6.245 * [backup-simplify]: Simplify (* 1 1) into 1 6.246 * [backup-simplify]: Simplify (* 1 1) into 1 6.246 * [backup-simplify]: Simplify (* 1 1) into 1 6.246 * [backup-simplify]: Simplify (- 1) into -1 6.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.247 * [backup-simplify]: Simplify (/ 1 -1) into -1 6.247 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.247 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in x 6.247 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 6.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.247 * [taylor]: Taking taylor expansion of y in x 6.247 * [backup-simplify]: Simplify y into y 6.247 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.247 * [taylor]: Taking taylor expansion of x in x 6.247 * [backup-simplify]: Simplify 0 into 0 6.247 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (/ 1 1) into 1 6.248 * [backup-simplify]: Simplify (+ 0 1) into 1 6.248 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 6.248 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.248 * [taylor]: Taking taylor expansion of y in x 6.248 * [backup-simplify]: Simplify y into y 6.248 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.248 * [taylor]: Taking taylor expansion of x in x 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [backup-simplify]: Simplify (/ 1 1) into 1 6.249 * [backup-simplify]: Simplify (- 1) into -1 6.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.249 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.249 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.249 * [taylor]: Taking taylor expansion of x in x 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.249 * [backup-simplify]: Simplify (* 1 1) into 1 6.249 * [backup-simplify]: Simplify (* 1 1) into 1 6.250 * [backup-simplify]: Simplify (/ 1 1) into 1 6.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.250 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.250 * [taylor]: Taking taylor expansion of y in x 6.250 * [backup-simplify]: Simplify y into y 6.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.250 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.250 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.250 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (* -1 -1) into 1 6.251 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (+ 1 0) into 1 6.251 * [backup-simplify]: Simplify (/ 1 1) into 1 6.251 * [taylor]: Taking taylor expansion of (/ (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) (- (/ 1 (pow x 4)) (/ 1 (pow y 4)))) in x 6.251 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (pow (- (/ 1 y) (/ 1 x)) 2)) in x 6.252 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 6.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.252 * [taylor]: Taking taylor expansion of y in x 6.252 * [backup-simplify]: Simplify y into y 6.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.252 * [taylor]: Taking taylor expansion of x in x 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (/ 1 1) into 1 6.252 * [backup-simplify]: Simplify (+ 0 1) into 1 6.252 * [taylor]: Taking taylor expansion of (pow (- (/ 1 y) (/ 1 x)) 2) in x 6.252 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 6.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.252 * [taylor]: Taking taylor expansion of y in x 6.252 * [backup-simplify]: Simplify y into y 6.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.252 * [taylor]: Taking taylor expansion of x in x 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.253 * [backup-simplify]: Simplify (/ 1 1) into 1 6.253 * [backup-simplify]: Simplify (- 1) into -1 6.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.253 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 4))) in x 6.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.253 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.253 * [taylor]: Taking taylor expansion of x in x 6.253 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify 1 into 1 6.254 * [backup-simplify]: Simplify (* 1 1) into 1 6.254 * [backup-simplify]: Simplify (* 1 1) into 1 6.254 * [backup-simplify]: Simplify (/ 1 1) into 1 6.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x 6.254 * [taylor]: Taking taylor expansion of (pow y 4) in x 6.254 * [taylor]: Taking taylor expansion of y in x 6.254 * [backup-simplify]: Simplify y into y 6.254 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.254 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4) 6.254 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4)) 6.255 * [backup-simplify]: Simplify (* 1 1) into 1 6.255 * [backup-simplify]: Simplify (* -1 -1) into 1 6.255 * [backup-simplify]: Simplify (* 1 1) into 1 6.255 * [backup-simplify]: Simplify (+ 1 0) into 1 6.256 * [backup-simplify]: Simplify (/ 1 1) into 1 6.256 * [taylor]: Taking taylor expansion of 1 in y 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [backup-simplify]: Simplify 1 into 1 6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.257 * [backup-simplify]: Simplify (- 0) into 0 6.257 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.257 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) -1)) into (- (* 2 (/ 1 y))) 6.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.257 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.257 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 6.257 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (* (* 2 (/ 1 y)) 1)) into 0 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ 0 0) into 0 6.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.259 * [taylor]: Taking taylor expansion of 0 in y 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify (- 0) into 0 6.261 * [backup-simplify]: Simplify (+ 0 0) into 0 6.261 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 6.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (+ 0 0) into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 6.263 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (* 2 (/ 1 y)) (- (* 2 (/ 1 y)))) (* (/ 1 (pow y 2)) 1))) into (- (* 2 (/ 1 (pow y 2)))) 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (+ 0 0) into 0 6.265 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 6.265 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.266 * [taylor]: Taking taylor expansion of 2 in y 6.266 * [backup-simplify]: Simplify 2 into 2 6.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.266 * [taylor]: Taking taylor expansion of y in y 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (* 1 1) into 1 6.266 * [backup-simplify]: Simplify (/ 1 1) into 1 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.269 * [backup-simplify]: Simplify (- 0) into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.271 * [backup-simplify]: Simplify (- 0) into 0 6.271 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 6.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 y)) (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) (- (* 2 (/ 1 y)))) (* 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 6.278 * [taylor]: Taking taylor expansion of 0 in y 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * * * [progress]: simplifying candidates 6.281 * [simplify]: Simplifying: (- (log (- (pow x 4) (pow y 4))) (+ (log (+ x y)) (log (- x y)))) (- (log (- (pow x 4) (pow y 4))) (log (* (+ x y) (- x y)))) (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (exp (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y)))) (/ (* (* (- (pow x 4) (pow y 4)) (- (pow x 4) (pow y 4))) (- (pow x 4) (pow y 4))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y)))) (* (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (* (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (- (- (pow x 4) (pow y 4))) (- (* (+ x y) (- x y))) (/ (pow x 4) (* (+ x y) (- x y))) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y)) (/ (cbrt (- (pow x 4) (pow y 4))) (- x y)) (/ (sqrt (- (pow x 4) (pow y 4))) (+ x y)) (/ (sqrt (- (pow x 4) (pow y 4))) (- x y)) (/ 1 (+ x y)) (/ (- (pow x 4) (pow y 4)) (- x y)) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 4)) (+ x y)) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 4)) (- x y)) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 4))) (+ x y)) (/ (- (pow (sqrt x) 4) (sqrt (pow y 4))) (- x y)) (/ (+ (pow (sqrt x) 4) (pow y (/ 4 2))) (+ x y)) (/ (- (pow (sqrt x) 4) (pow y (/ 4 2))) (- x y)) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 4)) (+ x y)) (/ (- (sqrt (pow x 4)) (pow (sqrt y) 4)) (- x y)) (/ (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (+ x y)) (/ (- (sqrt (pow x 4)) (sqrt (pow y 4))) (- x y)) (/ (+ (sqrt (pow x 4)) (pow y (/ 4 2))) (+ x y)) (/ (- (sqrt (pow x 4)) (pow y (/ 4 2))) (- x y)) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ x y)) (/ (- (pow x (/ 4 2)) (pow (sqrt y) 4)) (- x y)) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (+ x y)) (/ (- (pow x (/ 4 2)) (sqrt (pow y 4))) (- x y)) (/ (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (+ x y)) (/ (- (pow x (/ 4 2)) (pow y (/ 4 2))) (- x y)) (/ (pow 1 4) (+ x y)) (/ (- (pow x 4) (pow y 4)) (- x y)) (/ 1 (+ x y)) (/ (- (pow x 4) (pow y 4)) (- x y)) (/ 1 (* (+ x y) (- x y))) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (/ (- (pow x 4) (pow y 4)) (+ x y)) (/ (* (+ x y) (- x y)) (cbrt (- (pow x 4) (pow y 4)))) (/ (* (+ x y) (- x y)) (sqrt (- (pow x 4) (pow y 4)))) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (/ (* (+ x y) (- x y)) (- (pow (sqrt x) 4) (pow (sqrt y) 4))) (/ (* (+ x y) (- x y)) (- (pow (sqrt x) 4) (sqrt (pow y 4)))) (/ (* (+ x y) (- x y)) (- (pow (sqrt x) 4) (pow y (/ 4 2)))) (/ (* (+ x y) (- x y)) (- (sqrt (pow x 4)) (pow (sqrt y) 4))) (/ (* (+ x y) (- x y)) (- (sqrt (pow x 4)) (sqrt (pow y 4)))) (/ (* (+ x y) (- x y)) (- (sqrt (pow x 4)) (pow y (/ 4 2)))) (/ (* (+ x y) (- x y)) (- (pow x (/ 4 2)) (pow (sqrt y) 4))) (/ (* (+ x y) (- x y)) (- (pow x (/ 4 2)) (sqrt (pow y 4)))) (/ (* (+ x y) (- x y)) (- (pow x (/ 4 2)) (pow y (/ 4 2)))) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3)))) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3)))) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (* x x) (* y y)))) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y))) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- x y))) (* (* (+ x y) (- x y)) (+ (* (pow x 4) (pow x 4)) (+ (* (pow y 4) (pow y 4)) (* (pow x 4) (pow y 4))))) (* (* (+ x y) (- x y)) (+ (pow x 4) (pow y 4))) (- (+ (log (- x y)) (log (+ x y))) (- (log (- (pow x 4) (pow y 4))) (+ (log (+ x y)) (log (- 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y) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y))) (/ (+ x y) (/ (cbrt (- (pow x 4) (pow y 4))) (- x y))) (/ (- x y) (/ (sqrt (- (pow x 4) (pow y 4))) (+ x y))) (/ (+ x y) (/ (sqrt (- (pow x 4) (pow y 4))) (- x y))) (/ (- x y) (/ 1 (+ x y))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (/ (- x y) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 4)) (+ x y))) (/ (+ x y) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 4)) (- x y))) (/ (- x y) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 4))) (+ x y))) (/ (+ x y) (/ (- (pow (sqrt x) 4) (sqrt (pow y 4))) (- x y))) (/ (- x y) (/ (+ (pow (sqrt x) 4) (pow y (/ 4 2))) (+ x y))) (/ (+ x y) (/ (- (pow (sqrt x) 4) (pow y (/ 4 2))) (- x y))) (/ (- x y) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 4)) (+ x y))) (/ (+ x y) (/ (- (sqrt (pow x 4)) (pow (sqrt y) 4)) (- x y))) (/ (- x y) (/ (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (+ x y))) (/ (+ x y) (/ (- (sqrt (pow x 4)) (sqrt (pow y 4))) (- x y))) (/ (- x y) (/ (+ (sqrt (pow x 4)) (pow y (/ 4 2))) (+ x y))) (/ (+ x y) (/ (- (sqrt (pow x 4)) (pow y (/ 4 2))) (- x y))) (/ (- x y) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ x y))) (/ (+ x y) (/ (- (pow x (/ 4 2)) (pow (sqrt y) 4)) (- x y))) (/ (- x y) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (+ x y))) (/ (+ x y) (/ (- (pow x (/ 4 2)) (sqrt (pow y 4))) (- x y))) (/ (- x y) (/ (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (+ x y))) (/ (+ x y) (/ (- (pow x (/ 4 2)) (pow y (/ 4 2))) (- x y))) (/ (- x y) (/ (pow 1 4) (+ x y))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (/ (- x y) (/ 1 (+ x y))) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (/ (- x y) 1) (/ (+ x y) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (/ (- x y) (- (pow x 4) (pow y 4))) (/ (+ x y) (/ 1 (* (+ x y) (- x y)))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))) (/ (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y))))) (/ (- x y) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (+ x y) 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(- x y) (+ x y)) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))))) (/ (* (- x y) (+ x y)) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (sqrt (- (pow x 4) (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 4)) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow (sqrt x) 4) (pow y (/ 4 2))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 4)) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (sqrt (pow x 4)) (sqrt (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (sqrt (pow x 4)) (pow y (/ 4 2))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 4)) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 4))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (+ (pow x (/ 4 2)) (pow y (/ 4 2))) (+ x y))) (/ (* (- x y) (+ x y)) (/ (pow 1 4) (+ x y))) (/ (* (- x y) (+ x y)) (/ 1 (+ x y))) (/ (* (- x y) (+ x y)) 1) (/ (* (- x y) (+ x y)) (- (pow x 4) (pow y 4))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y)))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- x y)))) (/ (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ x y)) (/ (* (- x y) (+ x y)) (- (pow x 4) (pow y 4))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (* x x) (- (* y y) (* x y)))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (- x y)) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ x y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) -1 1 1 6.286 * * [simplify]: Extracting # 0 : cost 0 6.286 * * [simplify]: Extracting # 1 : cost 0 6.286 * * [simplify]: Extracting # 2 : cost 0 6.286 * * [simplify]: Extracting # 3 : cost 0 6.287 * * [simplify]: Extracting # 4 : cost 0 6.287 * * [simplify]: Extracting # 5 : cost 0 6.288 * * [simplify]: Extracting # 6 : cost 0 6.288 * * [simplify]: Extracting # 7 : cost 0 6.288 * * [simplify]: Extracting # 8 : cost 0 6.289 * * [simplify]: Extracting # 9 : cost 0 6.289 * * [simplify]: iteration 0 : 271 enodes (cost 3864 ) 6.457 * * [simplify]: Extracting # 0 : cost 0 6.459 * * [simplify]: Extracting # 1 : cost 0 6.461 * * [simplify]: Extracting # 2 : cost 0 6.465 * * [simplify]: Extracting # 3 : cost 0 6.467 * * [simplify]: Extracting # 4 : cost 0 6.475 * * [simplify]: Extracting # 5 : cost 0 6.477 * * [simplify]: iteration 1 : 848 enodes (cost 3714 ) 7.202 * * [simplify]: Extracting # 0 : cost 0 7.208 * * [simplify]: Extracting # 1 : cost 0 7.215 * * [simplify]: Extracting # 2 : cost 0 7.225 * * [simplify]: Extracting # 3 : cost 0 7.231 * * [simplify]: Extracting # 4 : cost 0 7.238 * * [simplify]: iteration 2 : 4789 enodes (cost 3220 ) 9.522 * * [simplify]: Extracting # 0 : cost 0 9.531 * * [simplify]: Extracting # 1 : cost 0 9.540 * * [simplify]: Extracting # 2 : cost 0 9.551 * * [simplify]: Extracting # 3 : cost 0 9.561 * * [simplify]: iteration done: 5000 enodes (cost 3148 ) 9.564 * [simplify]: Simplified to: (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (log (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (exp (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (pow (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 3) (pow (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 3) (* (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))))) (cbrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (pow (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) 3) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (sqrt (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (- (- (pow x 4) (pow y 4))) (- (* (+ x y) (- x y))) (/ (pow x 4) (* (+ x y) (- x y))) (/ (pow y 4) (* (+ x y) (- x y))) (/ (* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4)))) (+ x y)) (/ 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x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))) (/ (pow (* (- x y) (+ x y)) 3) (- (pow x 4) (pow y 4))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- (pow x 3) (pow y 3))))) (/ (* (- x y) (* (pow (+ x y) 3) (- x y))) (- (pow x 4) (pow y 4))) (/ (* (- x y) (+ x y)) (/ (- (pow x 4) (pow y 4)) (* (+ (pow x 3) (pow y 3)) (- x y)))) (/ (* (* (+ x y) (+ x y)) (pow (- x y) 3)) (- (pow x 4) (pow y 4))) (/ (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ x y)) (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4))) (* (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (pow x 2) (* y (+ x y)))) (+ (pow x 2) (* y (- y x)))) (* (* (- x y) (+ (pow x 2) (* y (+ x y)))) (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y)))) (* (+ (pow x 2) (* y (- y x))) (/ (- (pow x 4) (pow y 4)) (- x y))) (* (- x y) (/ (- (pow x 4) (pow y 4)) (- x y))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (pow x 2) (* y (- y x)))) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (- x y)) (* (/ (- (pow x 4) (pow y 4)) (* (+ x y) (- x y))) (+ (pow x 2) (* y (+ x y)))) (/ (- (pow x 4) (pow y 4)) (- x y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) (+ (pow x 2) (* y y)) -1 1 1 9.566 * * * [progress]: adding candidates to table 10.170 * * [progress]: iteration 4 / 4 10.170 * * * [progress]: picking best candidate 10.172 * * * * [pick]: Picked # 10.172 * * * [progress]: localizing error 10.173 * * * [progress]: generating rewritten candidates 10.173 * * * [progress]: generating series expansions 10.173 * * * [progress]: simplifying candidates 10.173 * [simplify]: Simplifying: 10.173 * * [simplify]: Extracting # 0 : cost 0 10.173 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 10.173 * * [simplify]: Extracting # 0 : cost 0 10.173 * * [simplify]: iteration done: 0 enodes (cost 0 ) 10.173 * [simplify]: Simplified to: 10.173 * * * [progress]: adding candidates to table 10.174 * [progress]: [Phase 3 of 3] Extracting. 10.174 * * [regime]: Finding splitpoints for: (# # #) 10.175 * * * [regime-changes]: Trying 2 branch expressions: (y x) 10.175 * * * * [regimes]: Trying to branch on y from (# # #) 10.226 * * * * [regimes]: Trying to branch on x from (# # #) 10.254 * * * [regime]: Found split indices: #