1.682 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.066 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.067 * * [simplify]: iteration 1: (9 enodes) 0.070 * * [simplify]: iteration 2: (22 enodes) 0.078 * * [simplify]: iteration 3: (46 enodes) 0.096 * * [simplify]: iteration 4: (95 enodes) 0.128 * * [simplify]: iteration 5: (177 enodes) 0.218 * * [simplify]: iteration 6: (339 enodes) 0.377 * * [simplify]: iteration 7: (573 enodes) 0.644 * * [simplify]: iteration 8: (1046 enodes) 3.229 * * [simplify]: Extracting #0: cost 1 inf + 0 3.229 * * [simplify]: Extracting #1: cost 76 inf + 0 3.231 * * [simplify]: Extracting #2: cost 285 inf + 1 3.235 * * [simplify]: Extracting #3: cost 458 inf + 2419 3.245 * * [simplify]: Extracting #4: cost 176 inf + 46844 3.267 * * [simplify]: Extracting #5: cost 14 inf + 89090 3.294 * * [simplify]: Extracting #6: cost 0 inf + 93639 3.345 * [simplify]: Simplified to: (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) 3.356 * * [progress]: iteration 1 / 4 3.356 * * * [progress]: picking best candidate 3.360 * * * * [pick]: Picked # 3.360 * * * [progress]: localizing error 3.394 * * * [progress]: generating rewritten candidates 3.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.423 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.456 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.553 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.570 * * * [progress]: generating series expansions 3.570 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.570 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 3.570 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 3.570 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 3.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.570 * [taylor]: Taking taylor expansion of y in x 3.570 * [backup-simplify]: Simplify y into y 3.570 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.570 * [taylor]: Taking taylor expansion of y in x 3.570 * [backup-simplify]: Simplify y into y 3.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.570 * [taylor]: Taking taylor expansion of x in x 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.571 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.571 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.571 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 3.571 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 3.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.571 * [taylor]: Taking taylor expansion of y in y 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.571 * [taylor]: Taking taylor expansion of y in y 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.571 * [taylor]: Taking taylor expansion of x in y 3.571 * [backup-simplify]: Simplify x into x 3.572 * [backup-simplify]: Simplify (* 1 1) into 1 3.572 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.572 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.572 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.572 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 3.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.572 * [taylor]: Taking taylor expansion of y in y 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.572 * [taylor]: Taking taylor expansion of y in y 3.572 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify 1 into 1 3.572 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.572 * [taylor]: Taking taylor expansion of x in y 3.572 * [backup-simplify]: Simplify x into x 3.573 * [backup-simplify]: Simplify (* 1 1) into 1 3.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.573 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.573 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.573 * [taylor]: Taking taylor expansion of x in x 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (* 1 1) into 1 3.574 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.578 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.579 * [backup-simplify]: Simplify (+ 0 0) into 0 3.579 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.579 * [taylor]: Taking taylor expansion of 0 in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify 0 into 0 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.582 * [backup-simplify]: Simplify (* 1 1) into 1 3.583 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.583 * [backup-simplify]: Simplify (+ 1 0) into 1 3.584 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 3.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 3.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.584 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (* 1 1) into 1 3.585 * [backup-simplify]: Simplify (* 1 1) into 1 3.585 * [backup-simplify]: Simplify (/ 1 1) into 1 3.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (- 0) into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3.599 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 3.599 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.599 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.599 * [taylor]: Taking taylor expansion of y in x 3.599 * [backup-simplify]: Simplify y into y 3.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.599 * [taylor]: Taking taylor expansion of y in x 3.599 * [backup-simplify]: Simplify y into y 3.599 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.600 * [taylor]: Taking taylor expansion of x in x 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.600 * [backup-simplify]: Simplify (* 1 1) into 1 3.600 * [backup-simplify]: Simplify (/ 1 1) into 1 3.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.601 * [backup-simplify]: Simplify (+ 0 1) into 1 3.601 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.601 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.601 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.601 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.601 * [taylor]: Taking taylor expansion of y in y 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.601 * [taylor]: Taking taylor expansion of y in y 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (* 1 1) into 1 3.602 * [backup-simplify]: Simplify (/ 1 1) into 1 3.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.602 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.602 * [taylor]: Taking taylor expansion of x in y 3.602 * [backup-simplify]: Simplify x into x 3.602 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.602 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.603 * [backup-simplify]: Simplify (* 1 1) into 1 3.603 * [backup-simplify]: Simplify (+ 1 0) into 1 3.604 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.604 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.604 * [taylor]: Taking taylor expansion of y in y 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.604 * [taylor]: Taking taylor expansion of y in y 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (* 1 1) into 1 3.605 * [backup-simplify]: Simplify (/ 1 1) into 1 3.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.605 * [taylor]: Taking taylor expansion of x in y 3.605 * [backup-simplify]: Simplify x into x 3.605 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.605 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (+ 1 0) into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [taylor]: Taking taylor expansion of 1 in x 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.609 * [taylor]: Taking taylor expansion of 0 in x 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.610 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.611 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 3.612 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.612 * [taylor]: Taking taylor expansion of x in x 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (* 1 1) into 1 3.613 * [backup-simplify]: Simplify (/ 1 1) into 1 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (- 0) into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3.618 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 3.618 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.618 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.618 * [taylor]: Taking taylor expansion of y in x 3.618 * [backup-simplify]: Simplify y into y 3.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.618 * [taylor]: Taking taylor expansion of y in x 3.618 * [backup-simplify]: Simplify y into y 3.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.618 * [taylor]: Taking taylor expansion of x in x 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (* 1 1) into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.619 * [backup-simplify]: Simplify (+ 0 1) into 1 3.619 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.619 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.619 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.619 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.619 * [taylor]: Taking taylor expansion of y in y 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.619 * [taylor]: Taking taylor expansion of y in y 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (* 1 1) into 1 3.619 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.620 * [taylor]: Taking taylor expansion of x in y 3.620 * [backup-simplify]: Simplify x into x 3.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.620 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.620 * [backup-simplify]: Simplify (* 1 1) into 1 3.620 * [backup-simplify]: Simplify (+ 1 0) into 1 3.620 * [backup-simplify]: Simplify (* 1 1) into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.621 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.621 * [taylor]: Taking taylor expansion of y in y 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.621 * [taylor]: Taking taylor expansion of y in y 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (* 1 1) into 1 3.621 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.621 * [taylor]: Taking taylor expansion of x in y 3.621 * [backup-simplify]: Simplify x into x 3.621 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.621 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.622 * [backup-simplify]: Simplify (* 1 1) into 1 3.622 * [backup-simplify]: Simplify (+ 1 0) into 1 3.622 * [backup-simplify]: Simplify (* 1 1) into 1 3.622 * [backup-simplify]: Simplify (/ 1 1) into 1 3.623 * [taylor]: Taking taylor expansion of 1 in x 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 0) into 0 3.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.625 * [taylor]: Taking taylor expansion of 0 in x 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.627 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 3.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 3.628 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 3.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.628 * [taylor]: Taking taylor expansion of x in x 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify 1 into 1 3.628 * [backup-simplify]: Simplify (* 1 1) into 1 3.628 * [backup-simplify]: Simplify (/ 1 1) into 1 3.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (- 0) into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.633 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 3.633 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 3.633 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 3.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [backup-simplify]: Simplify x into x 3.633 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.633 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.633 * [taylor]: Taking taylor expansion of y in y 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.633 * [taylor]: Taking taylor expansion of x in y 3.633 * [backup-simplify]: Simplify x into x 3.633 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.633 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.633 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.634 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.634 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.634 * [taylor]: Taking taylor expansion of y in x 3.634 * [backup-simplify]: Simplify y into y 3.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (* 1 1) into 1 3.634 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.634 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.634 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.634 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.634 * [taylor]: Taking taylor expansion of x in x 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.634 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.634 * [taylor]: Taking taylor expansion of y in x 3.634 * [backup-simplify]: Simplify y into y 3.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.635 * [taylor]: Taking taylor expansion of x in x 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (* 1 1) into 1 3.635 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.635 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.635 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.635 * [taylor]: Taking taylor expansion of y in y 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (* 1 1) into 1 3.636 * [backup-simplify]: Simplify (/ 1 1) into 1 3.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.638 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.638 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.638 * [taylor]: Taking taylor expansion of 0 in y 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.641 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.641 * [backup-simplify]: Simplify (* 1 1) into 1 3.641 * [backup-simplify]: Simplify (+ 0 1) into 1 3.641 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 3.641 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.641 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.641 * [taylor]: Taking taylor expansion of y in y 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (* 1 1) into 1 3.642 * [backup-simplify]: Simplify (* 1 1) into 1 3.642 * [backup-simplify]: Simplify (/ 1 1) into 1 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (- 0) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3.653 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 3.653 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.653 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.653 * [taylor]: Taking taylor expansion of x in y 3.653 * [backup-simplify]: Simplify x into x 3.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.653 * [taylor]: Taking taylor expansion of y in y 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (/ 1 1) into 1 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.654 * [taylor]: Taking taylor expansion of x in y 3.654 * [backup-simplify]: Simplify x into x 3.654 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.654 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.654 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.654 * [backup-simplify]: Simplify (+ 1 0) into 1 3.654 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.654 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.654 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.654 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.654 * [taylor]: Taking taylor expansion of y in x 3.654 * [backup-simplify]: Simplify y into y 3.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.654 * [taylor]: Taking taylor expansion of x in x 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (* 1 1) into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [backup-simplify]: Simplify (* 1 1) into 1 3.655 * [backup-simplify]: Simplify (+ 0 1) into 1 3.656 * [backup-simplify]: Simplify (* 1 1) into 1 3.656 * [backup-simplify]: Simplify (/ 1 1) into 1 3.656 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.656 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.656 * [taylor]: Taking taylor expansion of x in x 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.656 * [taylor]: Taking taylor expansion of y in x 3.656 * [backup-simplify]: Simplify y into y 3.656 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.656 * [taylor]: Taking taylor expansion of x in x 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [backup-simplify]: Simplify (* 1 1) into 1 3.657 * [backup-simplify]: Simplify (/ 1 1) into 1 3.657 * [backup-simplify]: Simplify (* 1 1) into 1 3.657 * [backup-simplify]: Simplify (+ 0 1) into 1 3.657 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [taylor]: Taking taylor expansion of 1 in y 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.661 * [taylor]: Taking taylor expansion of 0 in y 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.664 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.664 * [taylor]: Taking taylor expansion of y in y 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify 1 into 1 3.664 * [backup-simplify]: Simplify (* 1 1) into 1 3.664 * [backup-simplify]: Simplify (/ 1 1) into 1 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (- 0) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3.669 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 3.669 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.669 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.669 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.669 * [taylor]: Taking taylor expansion of x in y 3.669 * [backup-simplify]: Simplify x into x 3.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.669 * [taylor]: Taking taylor expansion of y in y 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.669 * [backup-simplify]: Simplify (* 1 1) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.670 * [taylor]: Taking taylor expansion of x in y 3.670 * [backup-simplify]: Simplify x into x 3.670 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.670 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.670 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.670 * [backup-simplify]: Simplify (+ 1 0) into 1 3.670 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.670 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.670 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.670 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.670 * [taylor]: Taking taylor expansion of y in x 3.670 * [backup-simplify]: Simplify y into y 3.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.671 * [taylor]: Taking taylor expansion of x in x 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [backup-simplify]: Simplify (* 1 1) into 1 3.672 * [backup-simplify]: Simplify (+ 0 1) into 1 3.672 * [backup-simplify]: Simplify (* 1 1) into 1 3.672 * [backup-simplify]: Simplify (/ 1 1) into 1 3.672 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.672 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.672 * [taylor]: Taking taylor expansion of x in x 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.672 * [taylor]: Taking taylor expansion of y in x 3.672 * [backup-simplify]: Simplify y into y 3.672 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.672 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.672 * [taylor]: Taking taylor expansion of x in x 3.672 * [backup-simplify]: Simplify 0 into 0 3.672 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (* 1 1) into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [backup-simplify]: Simplify (* 1 1) into 1 3.673 * [backup-simplify]: Simplify (+ 0 1) into 1 3.674 * [backup-simplify]: Simplify (* 1 1) into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.674 * [taylor]: Taking taylor expansion of 1 in y 3.674 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.676 * [taylor]: Taking taylor expansion of 0 in y 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.678 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.679 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.679 * [taylor]: Taking taylor expansion of y in y 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (* 1 1) into 1 3.679 * [backup-simplify]: Simplify (/ 1 1) into 1 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (- 0) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.684 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 3.684 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 3.684 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 3.684 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 3.684 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.684 * [taylor]: Taking taylor expansion of x in y 3.685 * [backup-simplify]: Simplify x into x 3.685 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.685 * [taylor]: Taking taylor expansion of y in y 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.685 * [taylor]: Taking taylor expansion of x in y 3.685 * [backup-simplify]: Simplify x into x 3.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.685 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.685 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.685 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 3.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.685 * [taylor]: Taking taylor expansion of y in y 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.685 * [taylor]: Taking taylor expansion of y in y 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.685 * [taylor]: Taking taylor expansion of x in y 3.685 * [backup-simplify]: Simplify x into x 3.685 * [backup-simplify]: Simplify (* 1 1) into 1 3.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.685 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.685 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.685 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 3.685 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.686 * [taylor]: Taking taylor expansion of x in x 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.686 * [taylor]: Taking taylor expansion of y in x 3.686 * [backup-simplify]: Simplify y into y 3.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.686 * [taylor]: Taking taylor expansion of x in x 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.686 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.686 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.686 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.686 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 3.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.686 * [taylor]: Taking taylor expansion of y in x 3.686 * [backup-simplify]: Simplify y into y 3.686 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.686 * [taylor]: Taking taylor expansion of y in x 3.686 * [backup-simplify]: Simplify y into y 3.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.686 * [taylor]: Taking taylor expansion of x in x 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.686 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.686 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.686 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 3.686 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 3.686 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 3.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.686 * [taylor]: Taking taylor expansion of x in x 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.687 * [taylor]: Taking taylor expansion of y in x 3.687 * [backup-simplify]: Simplify y into y 3.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.687 * [taylor]: Taking taylor expansion of x in x 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.687 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.687 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.687 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 3.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.687 * [taylor]: Taking taylor expansion of y in x 3.687 * [backup-simplify]: Simplify y into y 3.687 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.687 * [taylor]: Taking taylor expansion of y in x 3.687 * [backup-simplify]: Simplify y into y 3.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.687 * [taylor]: Taking taylor expansion of x in x 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.687 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.687 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 3.688 * [backup-simplify]: Simplify (- 1) into -1 3.688 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.688 * [taylor]: Taking taylor expansion of -1 in y 3.688 * [backup-simplify]: Simplify -1 into -1 3.688 * [backup-simplify]: Simplify -1 into -1 3.688 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.688 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 3.689 * [backup-simplify]: Simplify (- 0) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [taylor]: Taking taylor expansion of 0 in y 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.690 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.690 * [backup-simplify]: Simplify (* 1 1) into 1 3.690 * [backup-simplify]: Simplify (+ 0 1) into 1 3.690 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 3.690 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 3.690 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 3.691 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.691 * [taylor]: Taking taylor expansion of 2 in y 3.691 * [backup-simplify]: Simplify 2 into 2 3.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.691 * [taylor]: Taking taylor expansion of y in y 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.695 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.695 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 3.697 * [backup-simplify]: Simplify (- 0) into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [taylor]: Taking taylor expansion of 0 in y 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify -1 into -1 3.697 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 3.697 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 3.697 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.697 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.697 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.697 * [taylor]: Taking taylor expansion of x in y 3.697 * [backup-simplify]: Simplify x into x 3.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.697 * [taylor]: Taking taylor expansion of y in y 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (* 1 1) into 1 3.698 * [backup-simplify]: Simplify (/ 1 1) into 1 3.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.698 * [taylor]: Taking taylor expansion of x in y 3.698 * [backup-simplify]: Simplify x into x 3.698 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.698 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.698 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.698 * [backup-simplify]: Simplify (+ 1 0) into 1 3.698 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.699 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.699 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.699 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.699 * [taylor]: Taking taylor expansion of y in y 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.699 * [taylor]: Taking taylor expansion of y in y 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (* 1 1) into 1 3.699 * [backup-simplify]: Simplify (/ 1 1) into 1 3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.699 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.699 * [taylor]: Taking taylor expansion of x in y 3.699 * [backup-simplify]: Simplify x into x 3.699 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.699 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.700 * [backup-simplify]: Simplify (* 1 1) into 1 3.700 * [backup-simplify]: Simplify (+ 1 0) into 1 3.700 * [backup-simplify]: Simplify (* 1 1) into 1 3.700 * [backup-simplify]: Simplify (/ 1 1) into 1 3.700 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.700 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.700 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.700 * [taylor]: Taking taylor expansion of x in x 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.701 * [taylor]: Taking taylor expansion of y in x 3.701 * [backup-simplify]: Simplify y into y 3.701 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.701 * [taylor]: Taking taylor expansion of x in x 3.701 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (* 1 1) into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [backup-simplify]: Simplify (* 1 1) into 1 3.702 * [backup-simplify]: Simplify (+ 0 1) into 1 3.702 * [backup-simplify]: Simplify (* 1 1) into 1 3.702 * [backup-simplify]: Simplify (/ 1 1) into 1 3.702 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.702 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.702 * [taylor]: Taking taylor expansion of y in x 3.702 * [backup-simplify]: Simplify y into y 3.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.702 * [taylor]: Taking taylor expansion of y in x 3.702 * [backup-simplify]: Simplify y into y 3.702 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.702 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.702 * [taylor]: Taking taylor expansion of x in x 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (* 1 1) into 1 3.703 * [backup-simplify]: Simplify (/ 1 1) into 1 3.703 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.703 * [backup-simplify]: Simplify (+ 0 1) into 1 3.703 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.703 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.703 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.703 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.703 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.704 * [taylor]: Taking taylor expansion of y in x 3.704 * [backup-simplify]: Simplify y into y 3.704 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.704 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.704 * [taylor]: Taking taylor expansion of x in x 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.704 * [backup-simplify]: Simplify (/ 1 1) into 1 3.704 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (+ 0 1) into 1 3.705 * [backup-simplify]: Simplify (* 1 1) into 1 3.705 * [backup-simplify]: Simplify (/ 1 1) into 1 3.705 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.705 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.705 * [taylor]: Taking taylor expansion of y in x 3.705 * [backup-simplify]: Simplify y into y 3.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.705 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.705 * [taylor]: Taking taylor expansion of y in x 3.705 * [backup-simplify]: Simplify y into y 3.705 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.705 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.706 * [taylor]: Taking taylor expansion of x in x 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (* 1 1) into 1 3.706 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.706 * [backup-simplify]: Simplify (+ 0 1) into 1 3.706 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.706 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.707 * [backup-simplify]: Simplify (+ 1 0) into 1 3.707 * [taylor]: Taking taylor expansion of 1 in y 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.710 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [taylor]: Taking taylor expansion of 0 in y 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.712 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.712 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.713 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 3.713 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.713 * [taylor]: Taking taylor expansion of 2 in y 3.713 * [backup-simplify]: Simplify 2 into 2 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.713 * [taylor]: Taking taylor expansion of y in y 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (* 1 1) into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.716 * [backup-simplify]: Simplify (- 0) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.723 * [backup-simplify]: Simplify (+ 0 0) into 0 3.723 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.724 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 3.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.724 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.725 * [taylor]: Taking taylor expansion of 0 in y 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 3.726 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 3.726 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 3.726 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.726 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.726 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.726 * [taylor]: Taking taylor expansion of x in y 3.726 * [backup-simplify]: Simplify x into x 3.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.726 * [taylor]: Taking taylor expansion of y in y 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (* 1 1) into 1 3.727 * [backup-simplify]: Simplify (/ 1 1) into 1 3.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.727 * [taylor]: Taking taylor expansion of x in y 3.727 * [backup-simplify]: Simplify x into x 3.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.727 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.728 * [backup-simplify]: Simplify (+ 1 0) into 1 3.728 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 3.728 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.728 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.728 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.728 * [taylor]: Taking taylor expansion of y in y 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.728 * [taylor]: Taking taylor expansion of y in y 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.729 * [backup-simplify]: Simplify (* 1 1) into 1 3.729 * [backup-simplify]: Simplify (/ 1 1) into 1 3.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.729 * [taylor]: Taking taylor expansion of x in y 3.729 * [backup-simplify]: Simplify x into x 3.729 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.729 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.730 * [backup-simplify]: Simplify (* 1 1) into 1 3.730 * [backup-simplify]: Simplify (+ 1 0) into 1 3.730 * [backup-simplify]: Simplify (* 1 1) into 1 3.731 * [backup-simplify]: Simplify (/ 1 1) into 1 3.731 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.731 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.731 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.731 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.731 * [taylor]: Taking taylor expansion of y in x 3.731 * [backup-simplify]: Simplify y into y 3.731 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.731 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.732 * [backup-simplify]: Simplify (/ 1 1) into 1 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (+ 0 1) into 1 3.733 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (/ 1 1) into 1 3.733 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.733 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.734 * [taylor]: Taking taylor expansion of y in x 3.734 * [backup-simplify]: Simplify y into y 3.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.734 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.734 * [taylor]: Taking taylor expansion of y in x 3.734 * [backup-simplify]: Simplify y into y 3.734 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.734 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.734 * [taylor]: Taking taylor expansion of x in x 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (* 1 1) into 1 3.735 * [backup-simplify]: Simplify (/ 1 1) into 1 3.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.735 * [backup-simplify]: Simplify (+ 0 1) into 1 3.735 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.735 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 3.735 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.735 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.735 * [taylor]: Taking taylor expansion of x in x 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.736 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.736 * [taylor]: Taking taylor expansion of y in x 3.736 * [backup-simplify]: Simplify y into y 3.736 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.736 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.736 * [taylor]: Taking taylor expansion of x in x 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (* 1 1) into 1 3.737 * [backup-simplify]: Simplify (/ 1 1) into 1 3.737 * [backup-simplify]: Simplify (* 1 1) into 1 3.738 * [backup-simplify]: Simplify (+ 0 1) into 1 3.738 * [backup-simplify]: Simplify (* 1 1) into 1 3.738 * [backup-simplify]: Simplify (/ 1 1) into 1 3.738 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.738 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.739 * [taylor]: Taking taylor expansion of y in x 3.739 * [backup-simplify]: Simplify y into y 3.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.739 * [taylor]: Taking taylor expansion of y in x 3.739 * [backup-simplify]: Simplify y into y 3.739 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.739 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.739 * [taylor]: Taking taylor expansion of x in x 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.739 * [backup-simplify]: Simplify (* 1 1) into 1 3.740 * [backup-simplify]: Simplify (/ 1 1) into 1 3.740 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.740 * [backup-simplify]: Simplify (+ 0 1) into 1 3.740 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.740 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.741 * [backup-simplify]: Simplify (+ 1 0) into 1 3.741 * [taylor]: Taking taylor expansion of 1 in y 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify 1 into 1 3.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.745 * [taylor]: Taking taylor expansion of 0 in y 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.749 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 3.750 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 3.750 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 3.750 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 3.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 3.750 * [taylor]: Taking taylor expansion of 2 in y 3.750 * [backup-simplify]: Simplify 2 into 2 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.750 * [taylor]: Taking taylor expansion of y in y 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.758 * [backup-simplify]: Simplify (- 0) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.764 * [backup-simplify]: Simplify (+ 0 0) into 0 3.764 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.765 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.765 * [backup-simplify]: Simplify (- 0) into 0 3.765 * [backup-simplify]: Simplify (+ 0 0) into 0 3.765 * [taylor]: Taking taylor expansion of 0 in y 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.765 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 3.765 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 3.765 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.766 * [taylor]: Taking taylor expansion of y in y 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.766 * [taylor]: Taking taylor expansion of x in y 3.766 * [backup-simplify]: Simplify x into x 3.766 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.766 * [taylor]: Taking taylor expansion of y in x 3.766 * [backup-simplify]: Simplify y into y 3.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.766 * [taylor]: Taking taylor expansion of y in x 3.766 * [backup-simplify]: Simplify y into y 3.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.766 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.766 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.766 * [taylor]: Taking taylor expansion of y in y 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [taylor]: Taking taylor expansion of 0 in y 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.767 * [backup-simplify]: Simplify (* 1 1) into 1 3.767 * [backup-simplify]: Simplify (+ 0 1) into 1 3.767 * [taylor]: Taking taylor expansion of 1 in y 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.769 * [backup-simplify]: Simplify (+ 0 0) into 0 3.769 * [taylor]: Taking taylor expansion of 0 in y 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [taylor]: Taking taylor expansion of 0 in y 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 3.771 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3.771 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 3.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.771 * [taylor]: Taking taylor expansion of y in y 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.772 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (/ 1 1) into 1 3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.772 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.772 * [taylor]: Taking taylor expansion of x in y 3.772 * [backup-simplify]: Simplify x into x 3.772 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.772 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.772 * [taylor]: Taking taylor expansion of y in x 3.772 * [backup-simplify]: Simplify y into y 3.772 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.772 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.772 * [taylor]: Taking taylor expansion of x in x 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.773 * [backup-simplify]: Simplify (* 1 1) into 1 3.773 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.773 * [taylor]: Taking taylor expansion of y in x 3.773 * [backup-simplify]: Simplify y into y 3.773 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.773 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.773 * [taylor]: Taking taylor expansion of x in x 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 1 into 1 3.774 * [backup-simplify]: Simplify (* 1 1) into 1 3.774 * [backup-simplify]: Simplify (/ 1 1) into 1 3.774 * [backup-simplify]: Simplify (+ 0 1) into 1 3.774 * [taylor]: Taking taylor expansion of 1 in y 3.774 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [taylor]: Taking taylor expansion of 0 in y 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.777 * [taylor]: Taking taylor expansion of y in y 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (* 1 1) into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (+ 0 0) into 0 3.779 * [taylor]: Taking taylor expansion of 0 in y 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.782 * [taylor]: Taking taylor expansion of 0 in y 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.783 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 3.783 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 3.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.783 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.783 * [taylor]: Taking taylor expansion of y in y 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.784 * [backup-simplify]: Simplify (* 1 1) into 1 3.784 * [backup-simplify]: Simplify (/ 1 1) into 1 3.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.784 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.784 * [taylor]: Taking taylor expansion of x in y 3.784 * [backup-simplify]: Simplify x into x 3.784 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.784 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.784 * [taylor]: Taking taylor expansion of y in x 3.784 * [backup-simplify]: Simplify y into y 3.784 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.784 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.785 * [taylor]: Taking taylor expansion of x in x 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (* 1 1) into 1 3.785 * [backup-simplify]: Simplify (/ 1 1) into 1 3.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.785 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.785 * [taylor]: Taking taylor expansion of y in x 3.785 * [backup-simplify]: Simplify y into y 3.785 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.785 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.785 * [taylor]: Taking taylor expansion of x in x 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (* 1 1) into 1 3.786 * [backup-simplify]: Simplify (/ 1 1) into 1 3.786 * [backup-simplify]: Simplify (+ 0 1) into 1 3.786 * [taylor]: Taking taylor expansion of 1 in y 3.786 * [backup-simplify]: Simplify 1 into 1 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.787 * [taylor]: Taking taylor expansion of 0 in y 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.788 * [taylor]: Taking taylor expansion of y in y 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (/ 1 1) into 1 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ 0 0) into 0 3.791 * [taylor]: Taking taylor expansion of 0 in y 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ 0 0) into 0 3.794 * [taylor]: Taking taylor expansion of 0 in y 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.795 * * * [progress]: simplifying candidates 3.795 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 3.795 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))> 3.796 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 3.796 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 42 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))> 3.797 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 59 / 95 ] simplifiying candidate # 3.797 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))> 3.798 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))))> 3.798 * * * * [progress]: [ 83 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 3.798 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 3.799 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 3.800 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* y y) 1) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* y y) (+ (* x x) (* y y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* y y)))) (- (log (* x x)) (log (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* x x) (+ (* x x) (* y y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x 1) (/ x (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* x x) 1) (/ (+ (* x x) (* y y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* x x) (+ (* x x) (* y y)))) (/ (exp (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y))))) (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (* x x) (* y y)) (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* y y) (+ (* x x) (* y y)))) (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (* x x) (* y y)) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (- (/ (* y y) (+ (* x x) (* y y)))) (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) 0 0 0 0 0 0 -1 1 1 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 3.801 * * [simplify]: iteration 1: (132 enodes) 3.830 * * [simplify]: iteration 2: (372 enodes) 4.029 * * [simplify]: iteration 3: (1127 enodes) 4.817 * * [simplify]: Extracting #0: cost 82 inf + 0 4.818 * * [simplify]: Extracting #1: cost 424 inf + 87 4.826 * * [simplify]: Extracting #2: cost 680 inf + 29280 4.885 * * [simplify]: Extracting #3: cost 223 inf + 153761 4.956 * * [simplify]: Extracting #4: cost 12 inf + 214121 5.049 * * [simplify]: Extracting #5: cost 0 inf + 219478 5.125 * [simplify]: Simplified to: (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (* y (- y)) (- (+ (* y y) (* x x))) (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) y (/ y (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* y y)) (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))) (/ (* y y) (sqrt (+ (* y y) (* x x)))) (* y y) (/ (+ (* y y) (* x x)) y) (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (exp (/ (* x x) (+ (* y y) (* x x)))) (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (cbrt (/ (* x x) (+ (* y y) (* x x)))) (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (- (* x x)) (- (+ (* y y) (* x x))) (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) x (/ x (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* x x)) (* (/ x (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* y y) (* x x))))) (/ (* x x) (sqrt (+ (* y y) (* x x)))) (* x x) (/ (+ (* y y) (* x x)) x) (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* x x) (+ (* y y) (* x x)))) (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (+ x y) (- x y)) (- (* (+ (* y y) (* x x)) (* x x)) (* (* y y) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (- (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (+ (* (/ (* y y) (+ (* y y) (* x x))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (- (/ (* y y) (+ (* y y) (* x x)))) (* (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ y (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (* (+ x y) (- x y)) (- (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (- (/ (* y y) (+ (* y y) (* x x)))) (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (+ x y) (- x y)) (real->posit16 (+ (* y y) (* x x))) 0 0 0 0 0 0 -1 1 1 (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 5.135 * * * [progress]: adding candidates to table 6.023 * * [progress]: iteration 2 / 4 6.023 * * * [progress]: picking best candidate 6.031 * * * * [pick]: Picked # 6.031 * * * [progress]: localizing error 6.031 * * * [progress]: generating rewritten candidates 6.032 * * * [progress]: generating series expansions 6.032 * * * [progress]: simplifying candidates 6.032 * [simplify]: Simplifying: 6.032 * * [simplify]: iteration 1: (0 enodes) 6.032 * * [simplify]: Extracting #0: cost 0 inf + 0 6.032 * [simplify]: Simplified to: 6.032 * * * [progress]: adding candidates to table 6.032 * * [progress]: iteration 3 / 4 6.032 * * * [progress]: picking best candidate 6.039 * * * * [pick]: Picked # 6.039 * * * [progress]: localizing error 6.058 * * * [progress]: generating rewritten candidates 6.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 6.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.131 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.251 * * * [progress]: generating series expansions 6.251 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.251 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 6.251 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 6.252 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.252 * [taylor]: Taking taylor expansion of y in x 6.252 * [backup-simplify]: Simplify y into y 6.252 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.252 * [taylor]: Taking taylor expansion of y in x 6.252 * [backup-simplify]: Simplify y into y 6.252 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* y y) into (pow y 2) 6.252 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.252 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.252 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.252 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.252 * [taylor]: Taking taylor expansion of y in y 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.253 * [taylor]: Taking taylor expansion of y in y 6.253 * [backup-simplify]: Simplify 0 into 0 6.253 * [backup-simplify]: Simplify 1 into 1 6.253 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.253 * [taylor]: Taking taylor expansion of x in y 6.253 * [backup-simplify]: Simplify x into x 6.254 * [backup-simplify]: Simplify (* 1 1) into 1 6.254 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.254 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.254 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.254 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.254 * [taylor]: Taking taylor expansion of y in y 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.254 * [taylor]: Taking taylor expansion of y in y 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.254 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.254 * [taylor]: Taking taylor expansion of x in y 6.254 * [backup-simplify]: Simplify x into x 6.255 * [backup-simplify]: Simplify (* 1 1) into 1 6.255 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.255 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.255 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.255 * [taylor]: Taking taylor expansion of x in x 6.255 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify 1 into 1 6.255 * [backup-simplify]: Simplify (* 1 1) into 1 6.256 * [backup-simplify]: Simplify (/ 1 1) into 1 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify 0 into 0 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.260 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.261 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.261 * [taylor]: Taking taylor expansion of 0 in x 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 0 into 0 6.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.263 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.265 * [backup-simplify]: Simplify (* 1 1) into 1 6.265 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.266 * [backup-simplify]: Simplify (+ 1 0) into 1 6.266 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 6.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 6.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.266 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.266 * [taylor]: Taking taylor expansion of x in x 6.266 * [backup-simplify]: Simplify 0 into 0 6.266 * [backup-simplify]: Simplify 1 into 1 6.267 * [backup-simplify]: Simplify (* 1 1) into 1 6.267 * [backup-simplify]: Simplify (* 1 1) into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 1))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (- 0) into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.282 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.282 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.282 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.282 * [taylor]: Taking taylor expansion of y in x 6.282 * [backup-simplify]: Simplify y into y 6.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.283 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.283 * [taylor]: Taking taylor expansion of y in x 6.283 * [backup-simplify]: Simplify y into y 6.283 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.283 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.283 * [taylor]: Taking taylor expansion of x in x 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.283 * [backup-simplify]: Simplify (* 1 1) into 1 6.284 * [backup-simplify]: Simplify (/ 1 1) into 1 6.284 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.285 * [backup-simplify]: Simplify (+ 0 1) into 1 6.285 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.285 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.285 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.285 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.285 * [taylor]: Taking taylor expansion of y in y 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.285 * [taylor]: Taking taylor expansion of y in y 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (* 1 1) into 1 6.286 * [backup-simplify]: Simplify (/ 1 1) into 1 6.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.286 * [taylor]: Taking taylor expansion of x in y 6.286 * [backup-simplify]: Simplify x into x 6.286 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.286 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.287 * [backup-simplify]: Simplify (* 1 1) into 1 6.287 * [backup-simplify]: Simplify (+ 1 0) into 1 6.287 * [backup-simplify]: Simplify (* 1 1) into 1 6.288 * [backup-simplify]: Simplify (/ 1 1) into 1 6.288 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.288 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.288 * [taylor]: Taking taylor expansion of y in y 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.288 * [taylor]: Taking taylor expansion of y in y 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 1 into 1 6.288 * [backup-simplify]: Simplify (* 1 1) into 1 6.289 * [backup-simplify]: Simplify (/ 1 1) into 1 6.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.289 * [taylor]: Taking taylor expansion of x in y 6.289 * [backup-simplify]: Simplify x into x 6.289 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.289 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.289 * [backup-simplify]: Simplify (* 1 1) into 1 6.290 * [backup-simplify]: Simplify (+ 1 0) into 1 6.290 * [backup-simplify]: Simplify (* 1 1) into 1 6.291 * [backup-simplify]: Simplify (/ 1 1) into 1 6.291 * [taylor]: Taking taylor expansion of 1 in x 6.291 * [backup-simplify]: Simplify 1 into 1 6.291 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.295 * [taylor]: Taking taylor expansion of 0 in x 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.299 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.299 * [taylor]: Taking taylor expansion of x in x 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.300 * [backup-simplify]: Simplify (* 1 1) into 1 6.300 * [backup-simplify]: Simplify (/ 1 1) into 1 6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (- 0) into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.312 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.312 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.312 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.312 * [taylor]: Taking taylor expansion of y in x 6.312 * [backup-simplify]: Simplify y into y 6.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.312 * [taylor]: Taking taylor expansion of y in x 6.312 * [backup-simplify]: Simplify y into y 6.312 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (* 1 1) into 1 6.313 * [backup-simplify]: Simplify (/ 1 1) into 1 6.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.314 * [backup-simplify]: Simplify (+ 0 1) into 1 6.314 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.314 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.314 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.314 * [taylor]: Taking taylor expansion of y in y 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.314 * [taylor]: Taking taylor expansion of y in y 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.315 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.315 * [taylor]: Taking taylor expansion of x in y 6.315 * [backup-simplify]: Simplify x into x 6.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.315 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.316 * [backup-simplify]: Simplify (* 1 1) into 1 6.316 * [backup-simplify]: Simplify (+ 1 0) into 1 6.317 * [backup-simplify]: Simplify (* 1 1) into 1 6.317 * [backup-simplify]: Simplify (/ 1 1) into 1 6.317 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.317 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.317 * [taylor]: Taking taylor expansion of y in y 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 1 into 1 6.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.317 * [taylor]: Taking taylor expansion of y in y 6.317 * [backup-simplify]: Simplify 0 into 0 6.317 * [backup-simplify]: Simplify 1 into 1 6.318 * [backup-simplify]: Simplify (* 1 1) into 1 6.318 * [backup-simplify]: Simplify (/ 1 1) into 1 6.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.318 * [taylor]: Taking taylor expansion of x in y 6.318 * [backup-simplify]: Simplify x into x 6.318 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.318 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.319 * [backup-simplify]: Simplify (* 1 1) into 1 6.319 * [backup-simplify]: Simplify (+ 1 0) into 1 6.319 * [backup-simplify]: Simplify (* 1 1) into 1 6.320 * [backup-simplify]: Simplify (/ 1 1) into 1 6.320 * [taylor]: Taking taylor expansion of 1 in x 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.324 * [taylor]: Taking taylor expansion of 0 in x 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.328 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.329 * [taylor]: Taking taylor expansion of x in x 6.329 * [backup-simplify]: Simplify 0 into 0 6.329 * [backup-simplify]: Simplify 1 into 1 6.329 * [backup-simplify]: Simplify (* 1 1) into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (- 0) into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 6.338 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* x x)) into (/ (+ (pow y 2) (pow x 2)) (pow x 2)) 6.338 * [approximate]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in (x y) around 0 6.338 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in y 6.338 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.338 * [taylor]: Taking taylor expansion of y in y 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.338 * [taylor]: Taking taylor expansion of x in y 6.338 * [backup-simplify]: Simplify x into x 6.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.338 * [taylor]: Taking taylor expansion of x in y 6.338 * [backup-simplify]: Simplify x into x 6.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.338 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.338 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.338 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in x 6.338 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.338 * [taylor]: Taking taylor expansion of y in x 6.338 * [backup-simplify]: Simplify y into y 6.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.338 * [taylor]: Taking taylor expansion of x in x 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.338 * [taylor]: Taking taylor expansion of x in x 6.338 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 1 into 1 6.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.339 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.339 * [backup-simplify]: Simplify (* 1 1) into 1 6.339 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 6.339 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in x 6.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.339 * [taylor]: Taking taylor expansion of y in x 6.339 * [backup-simplify]: Simplify y into y 6.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.339 * [taylor]: Taking taylor expansion of x in x 6.339 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify 1 into 1 6.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.339 * [taylor]: Taking taylor expansion of x in x 6.339 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify 1 into 1 6.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.340 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.340 * [backup-simplify]: Simplify (* 1 1) into 1 6.340 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 6.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.340 * [taylor]: Taking taylor expansion of y in y 6.340 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify 1 into 1 6.340 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.341 * [backup-simplify]: Simplify (+ 0 0) into 0 6.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 6.342 * [taylor]: Taking taylor expansion of 0 in y 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.342 * [backup-simplify]: Simplify (* 1 1) into 1 6.343 * [backup-simplify]: Simplify (+ 0 1) into 1 6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.344 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 1 6.344 * [taylor]: Taking taylor expansion of 1 in y 6.344 * [backup-simplify]: Simplify 1 into 1 6.344 * [backup-simplify]: Simplify 1 into 1 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify (* 1 1) into 1 6.344 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.346 * [backup-simplify]: Simplify (+ 0 0) into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.348 * [taylor]: Taking taylor expansion of 0 in y 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.350 * [backup-simplify]: Simplify (+ 0 0) into 0 6.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.352 * [taylor]: Taking taylor expansion of 0 in y 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify (+ (* 1 (pow (* y (/ 1 x)) 2)) 1) into (+ (/ (pow y 2) (pow x 2)) 1) 6.353 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 6.353 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 6.353 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.353 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.353 * [taylor]: Taking taylor expansion of x in y 6.353 * [backup-simplify]: Simplify x into x 6.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.353 * [taylor]: Taking taylor expansion of y in y 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.353 * [backup-simplify]: Simplify (* 1 1) into 1 6.353 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.354 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.354 * [taylor]: Taking taylor expansion of x in y 6.354 * [backup-simplify]: Simplify x into x 6.354 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.354 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.354 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.354 * [taylor]: Taking taylor expansion of x in x 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.354 * [taylor]: Taking taylor expansion of y in x 6.354 * [backup-simplify]: Simplify y into y 6.354 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.354 * [taylor]: Taking taylor expansion of x in x 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (* 1 1) into 1 6.354 * [backup-simplify]: Simplify (/ 1 1) into 1 6.354 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.354 * [taylor]: Taking taylor expansion of x in x 6.354 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.355 * [taylor]: Taking taylor expansion of y in x 6.355 * [backup-simplify]: Simplify y into y 6.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.355 * [taylor]: Taking taylor expansion of x in x 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (* 1 1) into 1 6.355 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [backup-simplify]: Simplify (+ 0 1) into 1 6.356 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of 1 in y 6.356 * [backup-simplify]: Simplify 1 into 1 6.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.357 * [backup-simplify]: Simplify (+ 0 0) into 0 6.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.358 * [taylor]: Taking taylor expansion of 0 in y 6.358 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.359 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.360 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.360 * [taylor]: Taking taylor expansion of y in y 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify (* 1 1) into 1 6.361 * [backup-simplify]: Simplify (/ 1 1) into 1 6.361 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (+ 0 0) into 0 6.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.364 * [taylor]: Taking taylor expansion of 0 in y 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.367 * [backup-simplify]: Simplify (+ 0 0) into 0 6.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into 0 6.368 * [taylor]: Taking taylor expansion of 0 in y 6.368 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 x)) 2))) into (+ (/ (pow y 2) (pow x 2)) 1) 6.370 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 6.370 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 6.370 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.370 * [taylor]: Taking taylor expansion of x in y 6.370 * [backup-simplify]: Simplify x into x 6.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.370 * [taylor]: Taking taylor expansion of y in y 6.370 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify 1 into 1 6.370 * [backup-simplify]: Simplify (* 1 1) into 1 6.371 * [backup-simplify]: Simplify (/ 1 1) into 1 6.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.371 * [taylor]: Taking taylor expansion of x in y 6.371 * [backup-simplify]: Simplify x into x 6.371 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.371 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.371 * [taylor]: Taking taylor expansion of x in x 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.371 * [taylor]: Taking taylor expansion of y in x 6.371 * [backup-simplify]: Simplify y into y 6.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.371 * [taylor]: Taking taylor expansion of x in x 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.371 * [backup-simplify]: Simplify (* 1 1) into 1 6.372 * [backup-simplify]: Simplify (/ 1 1) into 1 6.372 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.372 * [taylor]: Taking taylor expansion of x in x 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.372 * [taylor]: Taking taylor expansion of y in x 6.372 * [backup-simplify]: Simplify y into y 6.372 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.372 * [taylor]: Taking taylor expansion of x in x 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (* 1 1) into 1 6.373 * [backup-simplify]: Simplify (/ 1 1) into 1 6.373 * [backup-simplify]: Simplify (* 1 1) into 1 6.373 * [backup-simplify]: Simplify (+ 0 1) into 1 6.373 * [backup-simplify]: Simplify (* 1 1) into 1 6.373 * [taylor]: Taking taylor expansion of 1 in y 6.373 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.374 * [backup-simplify]: Simplify (+ 0 0) into 0 6.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.375 * [taylor]: Taking taylor expansion of 0 in y 6.375 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.377 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.378 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.378 * [taylor]: Taking taylor expansion of y in y 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (* 1 1) into 1 6.379 * [backup-simplify]: Simplify (/ 1 1) into 1 6.379 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ 0 0) into 0 6.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.385 * [taylor]: Taking taylor expansion of 0 in y 6.385 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (+ 0 0) into 0 6.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into 0 6.393 * [taylor]: Taking taylor expansion of 0 in y 6.393 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (- x))) 2))) into (+ (/ (pow y 2) (pow x 2)) 1) 6.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.395 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* x x))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 6.395 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 6.395 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 6.395 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.395 * [taylor]: Taking taylor expansion of x in y 6.396 * [backup-simplify]: Simplify x into x 6.396 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.396 * [taylor]: Taking taylor expansion of y in y 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.396 * [taylor]: Taking taylor expansion of x in y 6.396 * [backup-simplify]: Simplify x into x 6.396 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.396 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.396 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.396 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.396 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.396 * [taylor]: Taking taylor expansion of x in x 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.396 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.396 * [taylor]: Taking taylor expansion of y in x 6.396 * [backup-simplify]: Simplify y into y 6.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.396 * [taylor]: Taking taylor expansion of x in x 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.397 * [backup-simplify]: Simplify (* 1 1) into 1 6.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.397 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.397 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.397 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.397 * [taylor]: Taking taylor expansion of x in x 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 1 into 1 6.397 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.397 * [taylor]: Taking taylor expansion of y in x 6.397 * [backup-simplify]: Simplify y into y 6.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.397 * [taylor]: Taking taylor expansion of x in x 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 1 into 1 6.398 * [backup-simplify]: Simplify (* 1 1) into 1 6.398 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.398 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.398 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.398 * [taylor]: Taking taylor expansion of y in y 6.398 * [backup-simplify]: Simplify 0 into 0 6.398 * [backup-simplify]: Simplify 1 into 1 6.399 * [backup-simplify]: Simplify (* 1 1) into 1 6.399 * [backup-simplify]: Simplify (/ 1 1) into 1 6.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.403 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.404 * [backup-simplify]: Simplify (+ 0 0) into 0 6.404 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.404 * [taylor]: Taking taylor expansion of 0 in y 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.406 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.407 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.408 * [backup-simplify]: Simplify (* 1 1) into 1 6.408 * [backup-simplify]: Simplify (+ 0 1) into 1 6.408 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 6.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 6.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.409 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.409 * [taylor]: Taking taylor expansion of y in y 6.409 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify 1 into 1 6.409 * [backup-simplify]: Simplify (* 1 1) into 1 6.409 * [backup-simplify]: Simplify (* 1 1) into 1 6.410 * [backup-simplify]: Simplify (/ 1 1) into 1 6.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (- 0) into 0 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.419 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 6.419 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.419 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.420 * [taylor]: Taking taylor expansion of x in y 6.420 * [backup-simplify]: Simplify x into x 6.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.420 * [taylor]: Taking taylor expansion of y in y 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (* 1 1) into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.420 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.420 * [taylor]: Taking taylor expansion of x in y 6.420 * [backup-simplify]: Simplify x into x 6.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.420 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.421 * [backup-simplify]: Simplify (+ 1 0) into 1 6.421 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.421 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.421 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.421 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.421 * [taylor]: Taking taylor expansion of x in x 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.421 * [taylor]: Taking taylor expansion of y in x 6.421 * [backup-simplify]: Simplify y into y 6.421 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.421 * [taylor]: Taking taylor expansion of x in x 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [backup-simplify]: Simplify (* 1 1) into 1 6.423 * [backup-simplify]: Simplify (/ 1 1) into 1 6.423 * [backup-simplify]: Simplify (* 1 1) into 1 6.424 * [backup-simplify]: Simplify (+ 0 1) into 1 6.424 * [backup-simplify]: Simplify (* 1 1) into 1 6.424 * [backup-simplify]: Simplify (/ 1 1) into 1 6.424 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.424 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.424 * [taylor]: Taking taylor expansion of x in x 6.424 * [backup-simplify]: Simplify 0 into 0 6.424 * [backup-simplify]: Simplify 1 into 1 6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.424 * [taylor]: Taking taylor expansion of y in x 6.424 * [backup-simplify]: Simplify y into y 6.424 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.424 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.425 * [taylor]: Taking taylor expansion of x in x 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.425 * [backup-simplify]: Simplify (* 1 1) into 1 6.425 * [backup-simplify]: Simplify (/ 1 1) into 1 6.425 * [backup-simplify]: Simplify (* 1 1) into 1 6.426 * [backup-simplify]: Simplify (+ 0 1) into 1 6.426 * [backup-simplify]: Simplify (* 1 1) into 1 6.426 * [backup-simplify]: Simplify (/ 1 1) into 1 6.426 * [taylor]: Taking taylor expansion of 1 in y 6.426 * [backup-simplify]: Simplify 1 into 1 6.426 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.429 * [taylor]: Taking taylor expansion of 0 in y 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.431 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.432 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.432 * [taylor]: Taking taylor expansion of y in y 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (* 1 1) into 1 6.432 * [backup-simplify]: Simplify (/ 1 1) into 1 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (- 0) into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 6.437 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 6.437 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.437 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.437 * [taylor]: Taking taylor expansion of x in y 6.437 * [backup-simplify]: Simplify x into x 6.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.437 * [taylor]: Taking taylor expansion of y in y 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.438 * [backup-simplify]: Simplify (* 1 1) into 1 6.438 * [backup-simplify]: Simplify (/ 1 1) into 1 6.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.438 * [taylor]: Taking taylor expansion of x in y 6.438 * [backup-simplify]: Simplify x into x 6.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.438 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.439 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.439 * [backup-simplify]: Simplify (+ 1 0) into 1 6.439 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.439 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.439 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.439 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.439 * [taylor]: Taking taylor expansion of x in x 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 1 into 1 6.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.439 * [taylor]: Taking taylor expansion of y in x 6.439 * [backup-simplify]: Simplify y into y 6.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.440 * [taylor]: Taking taylor expansion of x in x 6.440 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (/ 1 1) into 1 6.441 * [backup-simplify]: Simplify (* 1 1) into 1 6.441 * [backup-simplify]: Simplify (+ 0 1) into 1 6.441 * [backup-simplify]: Simplify (* 1 1) into 1 6.442 * [backup-simplify]: Simplify (/ 1 1) into 1 6.442 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.442 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.442 * [taylor]: Taking taylor expansion of x in x 6.442 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify 1 into 1 6.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.442 * [taylor]: Taking taylor expansion of y in x 6.442 * [backup-simplify]: Simplify y into y 6.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.442 * [taylor]: Taking taylor expansion of x in x 6.442 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify 1 into 1 6.443 * [backup-simplify]: Simplify (* 1 1) into 1 6.443 * [backup-simplify]: Simplify (/ 1 1) into 1 6.443 * [backup-simplify]: Simplify (* 1 1) into 1 6.444 * [backup-simplify]: Simplify (+ 0 1) into 1 6.444 * [backup-simplify]: Simplify (* 1 1) into 1 6.444 * [backup-simplify]: Simplify (/ 1 1) into 1 6.445 * [taylor]: Taking taylor expansion of 1 in y 6.445 * [backup-simplify]: Simplify 1 into 1 6.445 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.446 * [backup-simplify]: Simplify (+ 0 0) into 0 6.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.449 * [taylor]: Taking taylor expansion of 0 in y 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.451 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.452 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.453 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.453 * [taylor]: Taking taylor expansion of y in y 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (* 1 1) into 1 6.454 * [backup-simplify]: Simplify (/ 1 1) into 1 6.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (- 0) into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.462 * [backup-simplify]: Simplify (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 6.463 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 6.463 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 6.463 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 6.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.463 * [taylor]: Taking taylor expansion of x in y 6.463 * [backup-simplify]: Simplify x into x 6.463 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.463 * [taylor]: Taking taylor expansion of y in y 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.463 * [taylor]: Taking taylor expansion of x in y 6.463 * [backup-simplify]: Simplify x into x 6.463 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.463 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.463 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.463 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.463 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.463 * [taylor]: Taking taylor expansion of y in y 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.463 * [taylor]: Taking taylor expansion of y in y 6.463 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify 1 into 1 6.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.463 * [taylor]: Taking taylor expansion of x in y 6.463 * [backup-simplify]: Simplify x into x 6.464 * [backup-simplify]: Simplify (* 1 1) into 1 6.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.464 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.464 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.464 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 6.464 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.464 * [taylor]: Taking taylor expansion of x in x 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.464 * [taylor]: Taking taylor expansion of y in x 6.464 * [backup-simplify]: Simplify y into y 6.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.464 * [taylor]: Taking taylor expansion of x in x 6.464 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [backup-simplify]: Simplify (* 1 1) into 1 6.465 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.465 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.465 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.465 * [taylor]: Taking taylor expansion of y in x 6.465 * [backup-simplify]: Simplify y into y 6.465 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.465 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.465 * [taylor]: Taking taylor expansion of y in x 6.465 * [backup-simplify]: Simplify y into y 6.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.465 * [taylor]: Taking taylor expansion of x in x 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 1 into 1 6.465 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.466 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.466 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.466 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.466 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 6.466 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.466 * [taylor]: Taking taylor expansion of x in x 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.466 * [taylor]: Taking taylor expansion of y in x 6.466 * [backup-simplify]: Simplify y into y 6.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.466 * [taylor]: Taking taylor expansion of x in x 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.467 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.467 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.467 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.467 * [taylor]: Taking taylor expansion of y in x 6.467 * [backup-simplify]: Simplify y into y 6.467 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.467 * [taylor]: Taking taylor expansion of y in x 6.467 * [backup-simplify]: Simplify y into y 6.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.467 * [taylor]: Taking taylor expansion of x in x 6.467 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify 1 into 1 6.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.467 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.467 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.468 * [backup-simplify]: Simplify (- 1) into -1 6.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.468 * [taylor]: Taking taylor expansion of -1 in y 6.468 * [backup-simplify]: Simplify -1 into -1 6.468 * [backup-simplify]: Simplify -1 into -1 6.469 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.469 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.469 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 6.470 * [backup-simplify]: Simplify (- 0) into 0 6.470 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [taylor]: Taking taylor expansion of 0 in y 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.471 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.471 * [backup-simplify]: Simplify (* 1 1) into 1 6.472 * [backup-simplify]: Simplify (+ 0 1) into 1 6.472 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 6.472 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 6.472 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.472 * [taylor]: Taking taylor expansion of 2 in y 6.472 * [backup-simplify]: Simplify 2 into 2 6.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.472 * [taylor]: Taking taylor expansion of y in y 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify (* 1 1) into 1 6.473 * [backup-simplify]: Simplify (/ 1 1) into 1 6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.479 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.479 * [backup-simplify]: Simplify (+ 0 0) into 0 6.479 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.480 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.482 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 6.483 * [backup-simplify]: Simplify (- 0) into 0 6.483 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [taylor]: Taking taylor expansion of 0 in y 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify -1 into -1 6.484 * [backup-simplify]: Simplify (- (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 6.484 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 6.484 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 6.484 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.484 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.484 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.484 * [taylor]: Taking taylor expansion of x in y 6.484 * [backup-simplify]: Simplify x into x 6.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.484 * [taylor]: Taking taylor expansion of y in y 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 1 into 1 6.485 * [backup-simplify]: Simplify (* 1 1) into 1 6.485 * [backup-simplify]: Simplify (/ 1 1) into 1 6.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.485 * [taylor]: Taking taylor expansion of x in y 6.485 * [backup-simplify]: Simplify x into x 6.485 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.486 * [backup-simplify]: Simplify (+ 1 0) into 1 6.486 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.486 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.486 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.486 * [taylor]: Taking taylor expansion of y in y 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.487 * [taylor]: Taking taylor expansion of y in y 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (* 1 1) into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.488 * [taylor]: Taking taylor expansion of x in y 6.488 * [backup-simplify]: Simplify x into x 6.488 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.488 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.488 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (+ 1 0) into 1 6.489 * [backup-simplify]: Simplify (* 1 1) into 1 6.490 * [backup-simplify]: Simplify (/ 1 1) into 1 6.490 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.490 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.490 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.490 * [taylor]: Taking taylor expansion of x in x 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.490 * [taylor]: Taking taylor expansion of y in x 6.490 * [backup-simplify]: Simplify y into y 6.490 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.490 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.490 * [taylor]: Taking taylor expansion of x in x 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.491 * [backup-simplify]: Simplify (* 1 1) into 1 6.491 * [backup-simplify]: Simplify (/ 1 1) into 1 6.491 * [backup-simplify]: Simplify (* 1 1) into 1 6.492 * [backup-simplify]: Simplify (+ 0 1) into 1 6.492 * [backup-simplify]: Simplify (* 1 1) into 1 6.493 * [backup-simplify]: Simplify (/ 1 1) into 1 6.493 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.493 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.493 * [taylor]: Taking taylor expansion of y in x 6.493 * [backup-simplify]: Simplify y into y 6.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.493 * [taylor]: Taking taylor expansion of y in x 6.493 * [backup-simplify]: Simplify y into y 6.493 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.493 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.493 * [taylor]: Taking taylor expansion of x in x 6.493 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify 1 into 1 6.494 * [backup-simplify]: Simplify (* 1 1) into 1 6.494 * [backup-simplify]: Simplify (/ 1 1) into 1 6.494 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.494 * [backup-simplify]: Simplify (+ 0 1) into 1 6.494 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.495 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.495 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.495 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.495 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.495 * [taylor]: Taking taylor expansion of x in x 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.495 * [taylor]: Taking taylor expansion of y in x 6.495 * [backup-simplify]: Simplify y into y 6.495 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.495 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.495 * [taylor]: Taking taylor expansion of x in x 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 1 into 1 6.496 * [backup-simplify]: Simplify (* 1 1) into 1 6.496 * [backup-simplify]: Simplify (/ 1 1) into 1 6.496 * [backup-simplify]: Simplify (* 1 1) into 1 6.497 * [backup-simplify]: Simplify (+ 0 1) into 1 6.497 * [backup-simplify]: Simplify (* 1 1) into 1 6.497 * [backup-simplify]: Simplify (/ 1 1) into 1 6.497 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.498 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.498 * [taylor]: Taking taylor expansion of y in x 6.498 * [backup-simplify]: Simplify y into y 6.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.498 * [taylor]: Taking taylor expansion of y in x 6.498 * [backup-simplify]: Simplify y into y 6.498 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.498 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.498 * [taylor]: Taking taylor expansion of x in x 6.498 * [backup-simplify]: Simplify 0 into 0 6.498 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (* 1 1) into 1 6.499 * [backup-simplify]: Simplify (/ 1 1) into 1 6.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.499 * [backup-simplify]: Simplify (+ 0 1) into 1 6.499 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.499 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.500 * [backup-simplify]: Simplify (+ 1 0) into 1 6.500 * [taylor]: Taking taylor expansion of 1 in y 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.502 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.504 * [backup-simplify]: Simplify (+ 0 0) into 0 6.504 * [taylor]: Taking taylor expansion of 0 in y 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify 0 into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.508 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.509 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.509 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 6.509 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.509 * [taylor]: Taking taylor expansion of 2 in y 6.509 * [backup-simplify]: Simplify 2 into 2 6.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.509 * [taylor]: Taking taylor expansion of y in y 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.510 * [backup-simplify]: Simplify (* 1 1) into 1 6.510 * [backup-simplify]: Simplify (/ 1 1) into 1 6.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.515 * [backup-simplify]: Simplify (- 0) into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.518 * [backup-simplify]: Simplify (+ 0 0) into 0 6.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (+ 0 0) into 0 6.521 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.521 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 6.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.522 * [backup-simplify]: Simplify (- 0) into 0 6.522 * [backup-simplify]: Simplify (+ 0 0) into 0 6.522 * [taylor]: Taking taylor expansion of 0 in y 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (- (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 6.522 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 6.522 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 6.522 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.522 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.522 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.522 * [taylor]: Taking taylor expansion of x in y 6.523 * [backup-simplify]: Simplify x into x 6.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.523 * [taylor]: Taking taylor expansion of y in y 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (* 1 1) into 1 6.523 * [backup-simplify]: Simplify (/ 1 1) into 1 6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.523 * [taylor]: Taking taylor expansion of x in y 6.523 * [backup-simplify]: Simplify x into x 6.523 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.523 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.523 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.524 * [backup-simplify]: Simplify (+ 1 0) into 1 6.524 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.524 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.524 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.524 * [taylor]: Taking taylor expansion of y in y 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.524 * [taylor]: Taking taylor expansion of y in y 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (* 1 1) into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.524 * [taylor]: Taking taylor expansion of x in y 6.525 * [backup-simplify]: Simplify x into x 6.525 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.525 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.525 * [backup-simplify]: Simplify (* 1 1) into 1 6.525 * [backup-simplify]: Simplify (+ 1 0) into 1 6.525 * [backup-simplify]: Simplify (* 1 1) into 1 6.526 * [backup-simplify]: Simplify (/ 1 1) into 1 6.526 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.526 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.526 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.526 * [taylor]: Taking taylor expansion of x in x 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 1 into 1 6.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.526 * [taylor]: Taking taylor expansion of y in x 6.526 * [backup-simplify]: Simplify y into y 6.526 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.526 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.526 * [taylor]: Taking taylor expansion of x in x 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 1 into 1 6.526 * [backup-simplify]: Simplify (* 1 1) into 1 6.527 * [backup-simplify]: Simplify (/ 1 1) into 1 6.527 * [backup-simplify]: Simplify (* 1 1) into 1 6.527 * [backup-simplify]: Simplify (+ 0 1) into 1 6.527 * [backup-simplify]: Simplify (* 1 1) into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.528 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.528 * [taylor]: Taking taylor expansion of y in x 6.528 * [backup-simplify]: Simplify y into y 6.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.528 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.528 * [taylor]: Taking taylor expansion of y in x 6.528 * [backup-simplify]: Simplify y into y 6.528 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.528 * [taylor]: Taking taylor expansion of x in x 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (* 1 1) into 1 6.529 * [backup-simplify]: Simplify (/ 1 1) into 1 6.529 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.529 * [backup-simplify]: Simplify (+ 0 1) into 1 6.529 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.529 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.529 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 6.529 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.529 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.529 * [taylor]: Taking taylor expansion of x in x 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.529 * [taylor]: Taking taylor expansion of y in x 6.529 * [backup-simplify]: Simplify y into y 6.529 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.529 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.529 * [taylor]: Taking taylor expansion of x in x 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.530 * [backup-simplify]: Simplify (* 1 1) into 1 6.530 * [backup-simplify]: Simplify (/ 1 1) into 1 6.530 * [backup-simplify]: Simplify (* 1 1) into 1 6.530 * [backup-simplify]: Simplify (+ 0 1) into 1 6.531 * [backup-simplify]: Simplify (* 1 1) into 1 6.531 * [backup-simplify]: Simplify (/ 1 1) into 1 6.531 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.531 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.531 * [taylor]: Taking taylor expansion of y in x 6.531 * [backup-simplify]: Simplify y into y 6.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.531 * [taylor]: Taking taylor expansion of y in x 6.531 * [backup-simplify]: Simplify y into y 6.531 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.531 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (* 1 1) into 1 6.532 * [backup-simplify]: Simplify (/ 1 1) into 1 6.532 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.532 * [backup-simplify]: Simplify (+ 0 1) into 1 6.532 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.532 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.532 * [backup-simplify]: Simplify (+ 1 0) into 1 6.532 * [taylor]: Taking taylor expansion of 1 in y 6.532 * [backup-simplify]: Simplify 1 into 1 6.532 * [backup-simplify]: Simplify 1 into 1 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ 0 0) into 0 6.535 * [taylor]: Taking taylor expansion of 0 in y 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.537 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.539 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.539 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 6.539 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.539 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.539 * [taylor]: Taking taylor expansion of 2 in y 6.539 * [backup-simplify]: Simplify 2 into 2 6.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.539 * [taylor]: Taking taylor expansion of y in y 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (* 1 1) into 1 6.540 * [backup-simplify]: Simplify (/ 1 1) into 1 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.543 * [backup-simplify]: Simplify (- 0) into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.544 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify (+ 0 0) into 0 6.550 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.550 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 6.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.551 * [backup-simplify]: Simplify (- 0) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.551 * [taylor]: Taking taylor expansion of 0 in y 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 1 into 1 6.551 * * * [progress]: simplifying candidates 6.551 * * * * [progress]: [ 1 / 143 ] simplifiying candidate # 6.551 * * * * [progress]: [ 2 / 143 ] simplifiying candidate # 6.551 * * * * [progress]: [ 3 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 4 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 5 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 6 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 7 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 8 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 9 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 10 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 11 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 12 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 13 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 14 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 15 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 16 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 17 / 143 ] simplifiying candidate # 6.552 * * * * [progress]: [ 18 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 19 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 20 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 21 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 22 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 23 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 24 / 143 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))> 6.553 * * * * [progress]: [ 25 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 26 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 27 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 28 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 29 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 30 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 31 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 32 / 143 ] simplifiying candidate # 6.553 * * * * [progress]: [ 33 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 34 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 35 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 36 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 37 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 38 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 39 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 40 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 41 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 42 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 43 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 44 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 45 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 46 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 47 / 143 ] simplifiying candidate # 6.554 * * * * [progress]: [ 48 / 143 ] simplifiying candidate #real (real->posit16 (/ (+ (* x x) (* y y)) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))> 6.554 * * * * [progress]: [ 49 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 50 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 51 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 52 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 53 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 54 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 55 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 56 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 57 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 58 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 59 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 60 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 61 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 62 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 63 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 64 / 143 ] simplifiying candidate # 6.555 * * * * [progress]: [ 65 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 66 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 67 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 68 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 69 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 70 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 71 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 72 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 73 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 74 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 75 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 76 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 77 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 78 / 143 ] simplifiying candidate # 6.556 * * * * [progress]: [ 79 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 80 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 81 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 82 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 83 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 84 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 85 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 86 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 87 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 88 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 89 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 90 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 91 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 92 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 93 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 94 / 143 ] simplifiying candidate # 6.557 * * * * [progress]: [ 95 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 96 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 97 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 98 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 99 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 100 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 101 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 102 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 103 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 104 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 105 / 143 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (+ (* x x) (* y y)) (* x x))))) (/ (* y y) (+ (* x x) (* y y)))))> 6.558 * * * * [progress]: [ 106 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 107 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 108 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 109 / 143 ] simplifiying candidate # 6.558 * * * * [progress]: [ 110 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 111 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 112 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 113 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 114 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 115 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 116 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 117 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 118 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 119 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 120 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 121 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 122 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 123 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 124 / 143 ] simplifiying candidate # 6.559 * * * * [progress]: [ 125 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 126 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 127 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 128 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 129 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 130 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 131 / 143 ] simplifiying candidate #real (real->posit16 (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y)))))))> 6.560 * * * * [progress]: [ 132 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 133 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 134 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 135 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 136 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 137 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 138 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 139 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 140 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 141 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 142 / 143 ] simplifiying candidate # 6.560 * * * * [progress]: [ 143 / 143 ] simplifiying candidate # 6.563 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* y y) 1) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* y y) (+ (* x x) (* y y)))) (- (log (+ (* x x) (* y y))) (+ (log x) (log x))) (- (log (+ (* x x) (* y y))) (log (* x x))) (log (/ (+ (* x x) (* y y)) (* x x))) (exp (/ (+ (* x x) (* y y)) (* x x))) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (+ (* x x) (* y y)) (* x x))) (cbrt (/ (+ (* x x) (* y y)) (* x x)))) (cbrt (/ (+ (* x x) (* y y)) (* x x))) (* (* (/ (+ (* x x) (* y y)) (* x x)) (/ (+ (* x x) (* y y)) (* x x))) (/ (+ (* x x) (* y y)) (* x x))) (sqrt (/ (+ (* x x) (* y y)) (* x x))) (sqrt (/ (+ (* x x) (* y y)) (* x x))) (- (+ (* x x) (* y y))) (- (* x x)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) x) (/ (cbrt (+ (* x x) (* y y))) x) (/ (sqrt (+ (* x x) (* y y))) x) (/ (sqrt (+ (* x x) (* y y))) x) (/ 1 x) (/ (+ (* x x) (* y y)) x) (/ 1 (* x x)) (/ (* x x) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) x) (/ (* x x) (cbrt (+ (* x x) (* y y)))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))) (* (* x x) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (* x x) (- (* x x) (* y y))) (real->posit16 (/ (+ (* x x) (* y y)) (* x x))) (- 1) (- (- (log (+ (* x x) (* y y))) (+ (log x) (log x)))) (- (- (log (+ (* x x) (* y y))) (log (* x x)))) (- (log (/ (+ (* x x) (* y y)) (* x x)))) (- 0 (- (log (+ (* x x) (* y y))) (+ (log x) (log x)))) (- 0 (- (log (+ (* x x) (* y y))) (log (* x x)))) (- 0 (log (/ (+ (* x x) (* y y)) (* x x)))) (- (log 1) (- (log (+ (* x x) (* y y))) (+ (log x) (log x)))) (- (log 1) (- (log (+ (* x x) (* y y))) (log (* x x)))) (- (log 1) (log (/ (+ (* x x) (* y y)) (* x x)))) (log (/ 1 (/ (+ (* x x) (* y y)) (* x x)))) (exp (/ 1 (/ (+ (* x x) (* y y)) (* x x)))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* x x) x) (* (* x x) x)))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* y y)) (* x x)) (/ (+ (* x x) (* y y)) (* x x))) (/ (+ (* x x) (* y y)) (* x x)))) (* (cbrt 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(sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ 1 (/ (sqrt (+ (* x x) (* y y))) x)) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ 1 (/ (sqrt (+ (* x x) (* y y))) x)) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* y y) (+ (* x x) (* y y)))) (real->posit16 (- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y))))) 0 0 0 (+ (/ (pow y 2) (pow x 2)) 1) (+ (/ (pow y 2) (pow x 2)) 1) (+ (/ (pow y 2) (pow x 2)) 1) 0 0 0 -1 1 1 6.569 * * [simplify]: iteration 1: (206 enodes) 6.793 * * [simplify]: iteration 2: (569 enodes) 7.218 * * [simplify]: iteration 3: (1925 enodes) 17.365 * * [simplify]: Extracting #0: cost 91 inf + 0 17.368 * * [simplify]: Extracting #1: cost 637 inf + 128 17.379 * * [simplify]: Extracting #2: cost 1011 inf + 12800 17.445 * * [simplify]: Extracting #3: cost 574 inf + 138152 17.542 * * [simplify]: Extracting #4: cost 84 inf 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(+ (* x x) (* y y))))) (- (/ (* 1 x) (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* 1 x) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* 1 x) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (+ (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* x x)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* x x)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ y (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* x x))))) (- (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* x x)))) (/ y (sqrt (+ (* x x) (* y y))))) (+ (/ (* 1 x) (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* 1 x) (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* 1 x) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* 1 x) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (- (* y y)) (+ (* x x) (* y y))) (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) 0 0 0 (+ (* (/ y x) (/ y x)) 1) (+ (* (/ y x) (/ y x)) 1) (+ (* (/ y x) (/ y x)) 1) 0 0 0 -1 1 1 17.854 * * * [progress]: adding candidates to table 18.929 * * [progress]: iteration 4 / 4 18.929 * * * [progress]: picking best candidate 18.934 * * * * [pick]: Picked # 18.934 * * * [progress]: localizing error 18.963 * * * [progress]: generating rewritten candidates 18.963 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 18.977 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 18.996 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 19.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 19.015 * * * [progress]: generating series expansions 19.015 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 19.015 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 19.015 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 19.015 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 19.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.015 * [taylor]: Taking taylor expansion of y in x 19.015 * [backup-simplify]: Simplify y into y 19.015 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 19.015 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.015 * [taylor]: Taking taylor expansion of y in x 19.015 * [backup-simplify]: Simplify y into y 19.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.015 * [taylor]: Taking taylor expansion of x in x 19.015 * [backup-simplify]: Simplify 0 into 0 19.015 * [backup-simplify]: Simplify 1 into 1 19.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.016 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.016 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 19.016 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 19.016 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 19.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.016 * [taylor]: Taking taylor expansion of y in y 19.016 * [backup-simplify]: Simplify 0 into 0 19.016 * [backup-simplify]: Simplify 1 into 1 19.016 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 19.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.016 * [taylor]: Taking taylor expansion of y in y 19.016 * [backup-simplify]: Simplify 0 into 0 19.016 * [backup-simplify]: Simplify 1 into 1 19.016 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.016 * [taylor]: Taking taylor expansion of x in y 19.016 * [backup-simplify]: Simplify x into x 19.017 * [backup-simplify]: Simplify (* 1 1) into 1 19.017 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.017 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 19.017 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.017 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 19.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.017 * [taylor]: Taking taylor expansion of y in y 19.017 * [backup-simplify]: Simplify 0 into 0 19.017 * [backup-simplify]: Simplify 1 into 1 19.017 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 19.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.017 * [taylor]: Taking taylor expansion of y in y 19.017 * [backup-simplify]: Simplify 0 into 0 19.017 * [backup-simplify]: Simplify 1 into 1 19.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.017 * [taylor]: Taking taylor expansion of x in y 19.017 * [backup-simplify]: Simplify x into x 19.018 * [backup-simplify]: Simplify (* 1 1) into 1 19.018 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.018 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 19.018 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.018 * [taylor]: Taking taylor expansion of x in x 19.018 * [backup-simplify]: Simplify 0 into 0 19.018 * [backup-simplify]: Simplify 1 into 1 19.018 * [backup-simplify]: Simplify (* 1 1) into 1 19.018 * [backup-simplify]: Simplify (/ 1 1) into 1 19.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.021 * [backup-simplify]: Simplify 0 into 0 19.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.022 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 19.022 * [backup-simplify]: Simplify (+ 0 0) into 0 19.023 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 19.023 * [taylor]: Taking taylor expansion of 0 in x 19.023 * [backup-simplify]: Simplify 0 into 0 19.023 * [backup-simplify]: Simplify 0 into 0 19.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.024 * [backup-simplify]: Simplify 0 into 0 19.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.025 * [backup-simplify]: Simplify (* 1 1) into 1 19.026 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 19.026 * [backup-simplify]: Simplify (+ 1 0) into 1 19.027 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 19.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 19.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 19.027 * [taylor]: Taking taylor expansion of (pow x 4) in x 19.027 * [taylor]: Taking taylor expansion of x in x 19.027 * [backup-simplify]: Simplify 0 into 0 19.027 * [backup-simplify]: Simplify 1 into 1 19.027 * [backup-simplify]: Simplify (* 1 1) into 1 19.027 * [backup-simplify]: Simplify (* 1 1) into 1 19.028 * [backup-simplify]: Simplify (/ 1 1) into 1 19.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.039 * [backup-simplify]: Simplify (- 0) into 0 19.039 * [backup-simplify]: Simplify 0 into 0 19.039 * [backup-simplify]: Simplify 0 into 0 19.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.041 * [backup-simplify]: Simplify 0 into 0 19.041 * [backup-simplify]: Simplify 0 into 0 19.041 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 19.041 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 19.041 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 19.041 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.041 * [taylor]: Taking taylor expansion of y in x 19.041 * [backup-simplify]: Simplify y into y 19.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.041 * [taylor]: Taking taylor expansion of y in x 19.041 * [backup-simplify]: Simplify y into y 19.041 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.042 * [taylor]: Taking taylor expansion of x in x 19.042 * [backup-simplify]: Simplify 0 into 0 19.042 * [backup-simplify]: Simplify 1 into 1 19.042 * [backup-simplify]: Simplify (* 1 1) into 1 19.042 * [backup-simplify]: Simplify (/ 1 1) into 1 19.042 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.043 * [backup-simplify]: Simplify (+ 0 1) into 1 19.043 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 19.043 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.043 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.043 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.043 * [taylor]: Taking taylor expansion of y in y 19.043 * [backup-simplify]: Simplify 0 into 0 19.043 * [backup-simplify]: Simplify 1 into 1 19.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.043 * [taylor]: Taking taylor expansion of y in y 19.043 * [backup-simplify]: Simplify 0 into 0 19.043 * [backup-simplify]: Simplify 1 into 1 19.044 * [backup-simplify]: Simplify (* 1 1) into 1 19.044 * [backup-simplify]: Simplify (/ 1 1) into 1 19.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.044 * [taylor]: Taking taylor expansion of x in y 19.044 * [backup-simplify]: Simplify x into x 19.045 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.045 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.045 * [backup-simplify]: Simplify (* 1 1) into 1 19.045 * [backup-simplify]: Simplify (+ 1 0) into 1 19.046 * [backup-simplify]: Simplify (* 1 1) into 1 19.046 * [backup-simplify]: Simplify (/ 1 1) into 1 19.046 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.046 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.046 * [taylor]: Taking taylor expansion of y in y 19.046 * [backup-simplify]: Simplify 0 into 0 19.046 * [backup-simplify]: Simplify 1 into 1 19.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.046 * [taylor]: Taking taylor expansion of y in y 19.047 * [backup-simplify]: Simplify 0 into 0 19.047 * [backup-simplify]: Simplify 1 into 1 19.047 * [backup-simplify]: Simplify (* 1 1) into 1 19.047 * [backup-simplify]: Simplify (/ 1 1) into 1 19.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.047 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.047 * [taylor]: Taking taylor expansion of x in y 19.047 * [backup-simplify]: Simplify x into x 19.047 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.047 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.048 * [backup-simplify]: Simplify (* 1 1) into 1 19.048 * [backup-simplify]: Simplify (+ 1 0) into 1 19.049 * [backup-simplify]: Simplify (* 1 1) into 1 19.049 * [backup-simplify]: Simplify (/ 1 1) into 1 19.049 * [taylor]: Taking taylor expansion of 1 in x 19.049 * [backup-simplify]: Simplify 1 into 1 19.049 * [backup-simplify]: Simplify 0 into 0 19.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.051 * [backup-simplify]: Simplify (+ 0 0) into 0 19.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.052 * [taylor]: Taking taylor expansion of 0 in x 19.052 * [backup-simplify]: Simplify 0 into 0 19.053 * [backup-simplify]: Simplify 0 into 0 19.053 * [backup-simplify]: Simplify 0 into 0 19.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.054 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 19.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.056 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 19.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 19.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 19.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.057 * [taylor]: Taking taylor expansion of x in x 19.057 * [backup-simplify]: Simplify 0 into 0 19.057 * [backup-simplify]: Simplify 1 into 1 19.057 * [backup-simplify]: Simplify (* 1 1) into 1 19.057 * [backup-simplify]: Simplify (/ 1 1) into 1 19.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.064 * [backup-simplify]: Simplify (- 0) into 0 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify 0 into 0 19.065 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 19.065 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 19.065 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 19.065 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.065 * [taylor]: Taking taylor expansion of y in x 19.065 * [backup-simplify]: Simplify y into y 19.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.065 * [taylor]: Taking taylor expansion of y in x 19.065 * [backup-simplify]: Simplify y into y 19.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.065 * [taylor]: Taking taylor expansion of x in x 19.065 * [backup-simplify]: Simplify 0 into 0 19.065 * [backup-simplify]: Simplify 1 into 1 19.066 * [backup-simplify]: Simplify (* 1 1) into 1 19.066 * [backup-simplify]: Simplify (/ 1 1) into 1 19.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.066 * [backup-simplify]: Simplify (+ 0 1) into 1 19.067 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 19.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.067 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.067 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.067 * [taylor]: Taking taylor expansion of y in y 19.067 * [backup-simplify]: Simplify 0 into 0 19.067 * [backup-simplify]: Simplify 1 into 1 19.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.067 * [taylor]: Taking taylor expansion of y in y 19.067 * [backup-simplify]: Simplify 0 into 0 19.067 * [backup-simplify]: Simplify 1 into 1 19.067 * [backup-simplify]: Simplify (* 1 1) into 1 19.068 * [backup-simplify]: Simplify (/ 1 1) into 1 19.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.068 * [taylor]: Taking taylor expansion of x in y 19.068 * [backup-simplify]: Simplify x into x 19.068 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.068 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.068 * [backup-simplify]: Simplify (* 1 1) into 1 19.069 * [backup-simplify]: Simplify (+ 1 0) into 1 19.069 * [backup-simplify]: Simplify (* 1 1) into 1 19.069 * [backup-simplify]: Simplify (/ 1 1) into 1 19.069 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.069 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.069 * [taylor]: Taking taylor expansion of y in y 19.069 * [backup-simplify]: Simplify 0 into 0 19.069 * [backup-simplify]: Simplify 1 into 1 19.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.069 * [taylor]: Taking taylor expansion of y in y 19.069 * [backup-simplify]: Simplify 0 into 0 19.070 * [backup-simplify]: Simplify 1 into 1 19.070 * [backup-simplify]: Simplify (* 1 1) into 1 19.070 * [backup-simplify]: Simplify (/ 1 1) into 1 19.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.070 * [taylor]: Taking taylor expansion of x in y 19.070 * [backup-simplify]: Simplify x into x 19.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.070 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.071 * [backup-simplify]: Simplify (* 1 1) into 1 19.071 * [backup-simplify]: Simplify (+ 1 0) into 1 19.072 * [backup-simplify]: Simplify (* 1 1) into 1 19.072 * [backup-simplify]: Simplify (/ 1 1) into 1 19.072 * [taylor]: Taking taylor expansion of 1 in x 19.072 * [backup-simplify]: Simplify 1 into 1 19.072 * [backup-simplify]: Simplify 0 into 0 19.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.074 * [backup-simplify]: Simplify (+ 0 0) into 0 19.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.075 * [taylor]: Taking taylor expansion of 0 in x 19.076 * [backup-simplify]: Simplify 0 into 0 19.076 * [backup-simplify]: Simplify 0 into 0 19.076 * [backup-simplify]: Simplify 0 into 0 19.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.077 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 19.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.079 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 19.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 19.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 19.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.080 * [taylor]: Taking taylor expansion of x in x 19.080 * [backup-simplify]: Simplify 0 into 0 19.080 * [backup-simplify]: Simplify 1 into 1 19.081 * [backup-simplify]: Simplify (* 1 1) into 1 19.081 * [backup-simplify]: Simplify (/ 1 1) into 1 19.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.088 * [backup-simplify]: Simplify (- 0) into 0 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 19.088 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 19.088 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 19.088 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 19.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.088 * [taylor]: Taking taylor expansion of y in x 19.088 * [backup-simplify]: Simplify y into y 19.088 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 19.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.088 * [taylor]: Taking taylor expansion of y in x 19.088 * [backup-simplify]: Simplify y into y 19.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.089 * [taylor]: Taking taylor expansion of x in x 19.089 * [backup-simplify]: Simplify 0 into 0 19.089 * [backup-simplify]: Simplify 1 into 1 19.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.089 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 19.089 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 19.089 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 19.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.089 * [taylor]: Taking taylor expansion of y in y 19.089 * [backup-simplify]: Simplify 0 into 0 19.089 * [backup-simplify]: Simplify 1 into 1 19.089 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 19.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.089 * [taylor]: Taking taylor expansion of y in y 19.089 * [backup-simplify]: Simplify 0 into 0 19.089 * [backup-simplify]: Simplify 1 into 1 19.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.089 * [taylor]: Taking taylor expansion of x in y 19.089 * [backup-simplify]: Simplify x into x 19.090 * [backup-simplify]: Simplify (* 1 1) into 1 19.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.090 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 19.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.090 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 19.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.090 * [taylor]: Taking taylor expansion of y in y 19.090 * [backup-simplify]: Simplify 0 into 0 19.090 * [backup-simplify]: Simplify 1 into 1 19.090 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 19.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.090 * [taylor]: Taking taylor expansion of y in y 19.090 * [backup-simplify]: Simplify 0 into 0 19.090 * [backup-simplify]: Simplify 1 into 1 19.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.090 * [taylor]: Taking taylor expansion of x in y 19.090 * [backup-simplify]: Simplify x into x 19.090 * [backup-simplify]: Simplify (* 1 1) into 1 19.091 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.091 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 19.091 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.091 * [taylor]: Taking taylor expansion of x in x 19.091 * [backup-simplify]: Simplify 0 into 0 19.091 * [backup-simplify]: Simplify 1 into 1 19.091 * [backup-simplify]: Simplify (* 1 1) into 1 19.092 * [backup-simplify]: Simplify (/ 1 1) into 1 19.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.097 * [backup-simplify]: Simplify 0 into 0 19.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.098 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 19.098 * [backup-simplify]: Simplify (+ 0 0) into 0 19.098 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 19.098 * [taylor]: Taking taylor expansion of 0 in x 19.098 * [backup-simplify]: Simplify 0 into 0 19.098 * [backup-simplify]: Simplify 0 into 0 19.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.100 * [backup-simplify]: Simplify 0 into 0 19.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.101 * [backup-simplify]: Simplify (* 1 1) into 1 19.101 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 19.102 * [backup-simplify]: Simplify (+ 1 0) into 1 19.102 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 19.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 19.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 19.102 * [taylor]: Taking taylor expansion of (pow x 4) in x 19.102 * [taylor]: Taking taylor expansion of x in x 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 1 into 1 19.102 * [backup-simplify]: Simplify (* 1 1) into 1 19.102 * [backup-simplify]: Simplify (* 1 1) into 1 19.103 * [backup-simplify]: Simplify (/ 1 1) into 1 19.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.110 * [backup-simplify]: Simplify (- 0) into 0 19.110 * [backup-simplify]: Simplify 0 into 0 19.110 * [backup-simplify]: Simplify 0 into 0 19.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.111 * [backup-simplify]: Simplify 0 into 0 19.111 * [backup-simplify]: Simplify 0 into 0 19.111 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 19.112 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 19.112 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 19.112 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.112 * [taylor]: Taking taylor expansion of y in x 19.112 * [backup-simplify]: Simplify y into y 19.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.112 * [taylor]: Taking taylor expansion of y in x 19.112 * [backup-simplify]: Simplify y into y 19.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.112 * [taylor]: Taking taylor expansion of x in x 19.112 * [backup-simplify]: Simplify 0 into 0 19.112 * [backup-simplify]: Simplify 1 into 1 19.112 * [backup-simplify]: Simplify (* 1 1) into 1 19.112 * [backup-simplify]: Simplify (/ 1 1) into 1 19.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.113 * [backup-simplify]: Simplify (+ 0 1) into 1 19.113 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 19.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.113 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.113 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.113 * [taylor]: Taking taylor expansion of y in y 19.113 * [backup-simplify]: Simplify 0 into 0 19.113 * [backup-simplify]: Simplify 1 into 1 19.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.113 * [taylor]: Taking taylor expansion of y in y 19.113 * [backup-simplify]: Simplify 0 into 0 19.113 * [backup-simplify]: Simplify 1 into 1 19.113 * [backup-simplify]: Simplify (* 1 1) into 1 19.113 * [backup-simplify]: Simplify (/ 1 1) into 1 19.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.113 * [taylor]: Taking taylor expansion of x in y 19.113 * [backup-simplify]: Simplify x into x 19.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.114 * [backup-simplify]: Simplify (* 1 1) into 1 19.114 * [backup-simplify]: Simplify (+ 1 0) into 1 19.114 * [backup-simplify]: Simplify (* 1 1) into 1 19.115 * [backup-simplify]: Simplify (/ 1 1) into 1 19.115 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.115 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.115 * [taylor]: Taking taylor expansion of y in y 19.115 * [backup-simplify]: Simplify 0 into 0 19.115 * [backup-simplify]: Simplify 1 into 1 19.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.115 * [taylor]: Taking taylor expansion of y in y 19.115 * [backup-simplify]: Simplify 0 into 0 19.115 * [backup-simplify]: Simplify 1 into 1 19.115 * [backup-simplify]: Simplify (* 1 1) into 1 19.115 * [backup-simplify]: Simplify (/ 1 1) into 1 19.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.115 * [taylor]: Taking taylor expansion of x in y 19.115 * [backup-simplify]: Simplify x into x 19.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.116 * [backup-simplify]: Simplify (* 1 1) into 1 19.116 * [backup-simplify]: Simplify (+ 1 0) into 1 19.116 * [backup-simplify]: Simplify (* 1 1) into 1 19.116 * [backup-simplify]: Simplify (/ 1 1) into 1 19.117 * [taylor]: Taking taylor expansion of 1 in x 19.117 * [backup-simplify]: Simplify 1 into 1 19.117 * [backup-simplify]: Simplify 0 into 0 19.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.118 * [backup-simplify]: Simplify (+ 0 0) into 0 19.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.119 * [taylor]: Taking taylor expansion of 0 in x 19.119 * [backup-simplify]: Simplify 0 into 0 19.119 * [backup-simplify]: Simplify 0 into 0 19.119 * [backup-simplify]: Simplify 0 into 0 19.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.120 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 19.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.121 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 19.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 19.122 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 19.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.122 * [taylor]: Taking taylor expansion of x in x 19.122 * [backup-simplify]: Simplify 0 into 0 19.122 * [backup-simplify]: Simplify 1 into 1 19.122 * [backup-simplify]: Simplify (* 1 1) into 1 19.122 * [backup-simplify]: Simplify (/ 1 1) into 1 19.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.127 * [backup-simplify]: Simplify (- 0) into 0 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 19.127 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 19.127 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 19.127 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.127 * [taylor]: Taking taylor expansion of y in x 19.127 * [backup-simplify]: Simplify y into y 19.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.127 * [taylor]: Taking taylor expansion of y in x 19.127 * [backup-simplify]: Simplify y into y 19.127 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.127 * [taylor]: Taking taylor expansion of x in x 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [backup-simplify]: Simplify 1 into 1 19.128 * [backup-simplify]: Simplify (* 1 1) into 1 19.128 * [backup-simplify]: Simplify (/ 1 1) into 1 19.128 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.128 * [backup-simplify]: Simplify (+ 0 1) into 1 19.128 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 19.129 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.129 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.129 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.129 * [taylor]: Taking taylor expansion of y in y 19.129 * [backup-simplify]: Simplify 0 into 0 19.129 * [backup-simplify]: Simplify 1 into 1 19.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.129 * [taylor]: Taking taylor expansion of y in y 19.129 * [backup-simplify]: Simplify 0 into 0 19.129 * [backup-simplify]: Simplify 1 into 1 19.129 * [backup-simplify]: Simplify (* 1 1) into 1 19.129 * [backup-simplify]: Simplify (/ 1 1) into 1 19.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.129 * [taylor]: Taking taylor expansion of x in y 19.129 * [backup-simplify]: Simplify x into x 19.129 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.129 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.130 * [backup-simplify]: Simplify (* 1 1) into 1 19.130 * [backup-simplify]: Simplify (+ 1 0) into 1 19.131 * [backup-simplify]: Simplify (* 1 1) into 1 19.131 * [backup-simplify]: Simplify (/ 1 1) into 1 19.131 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 19.131 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.131 * [taylor]: Taking taylor expansion of y in y 19.131 * [backup-simplify]: Simplify 0 into 0 19.131 * [backup-simplify]: Simplify 1 into 1 19.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.131 * [taylor]: Taking taylor expansion of y in y 19.131 * [backup-simplify]: Simplify 0 into 0 19.131 * [backup-simplify]: Simplify 1 into 1 19.131 * [backup-simplify]: Simplify (* 1 1) into 1 19.132 * [backup-simplify]: Simplify (/ 1 1) into 1 19.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.132 * [taylor]: Taking taylor expansion of x in y 19.132 * [backup-simplify]: Simplify x into x 19.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.132 * [backup-simplify]: Simplify (* 1 1) into 1 19.132 * [backup-simplify]: Simplify (+ 1 0) into 1 19.133 * [backup-simplify]: Simplify (* 1 1) into 1 19.133 * [backup-simplify]: Simplify (/ 1 1) into 1 19.133 * [taylor]: Taking taylor expansion of 1 in x 19.133 * [backup-simplify]: Simplify 1 into 1 19.133 * [backup-simplify]: Simplify 0 into 0 19.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.134 * [backup-simplify]: Simplify (+ 0 0) into 0 19.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.135 * [taylor]: Taking taylor expansion of 0 in x 19.136 * [backup-simplify]: Simplify 0 into 0 19.136 * [backup-simplify]: Simplify 0 into 0 19.136 * [backup-simplify]: Simplify 0 into 0 19.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.137 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 19.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.138 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 19.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 19.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 19.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.138 * [taylor]: Taking taylor expansion of x in x 19.138 * [backup-simplify]: Simplify 0 into 0 19.138 * [backup-simplify]: Simplify 1 into 1 19.139 * [backup-simplify]: Simplify (* 1 1) into 1 19.139 * [backup-simplify]: Simplify (/ 1 1) into 1 19.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 19.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.143 * [backup-simplify]: Simplify (- 0) into 0 19.143 * [backup-simplify]: Simplify 0 into 0 19.143 * [backup-simplify]: Simplify 0 into 0 19.143 * [backup-simplify]: Simplify 0 into 0 19.143 * [backup-simplify]: Simplify 0 into 0 19.143 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 19.144 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 19.144 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 19.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 19.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 19.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.144 * [taylor]: Taking taylor expansion of y in y 19.144 * [backup-simplify]: Simplify 0 into 0 19.144 * [backup-simplify]: Simplify 1 into 1 19.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.144 * [taylor]: Taking taylor expansion of x in y 19.144 * [backup-simplify]: Simplify x into x 19.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.144 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 19.144 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 19.144 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 19.144 * [backup-simplify]: Simplify (+ 0 0) into 0 19.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 19.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 19.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 19.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.144 * [taylor]: Taking taylor expansion of y in x 19.144 * [backup-simplify]: Simplify y into y 19.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.144 * [taylor]: Taking taylor expansion of x in x 19.144 * [backup-simplify]: Simplify 0 into 0 19.144 * [backup-simplify]: Simplify 1 into 1 19.144 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.145 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 19.145 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 19.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.145 * [backup-simplify]: Simplify (+ 0 0) into 0 19.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 19.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 19.145 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 19.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.145 * [taylor]: Taking taylor expansion of y in x 19.145 * [backup-simplify]: Simplify y into y 19.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.145 * [taylor]: Taking taylor expansion of x in x 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [backup-simplify]: Simplify 1 into 1 19.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.145 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 19.145 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 19.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.146 * [backup-simplify]: Simplify (+ 0 0) into 0 19.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 19.146 * [taylor]: Taking taylor expansion of y in y 19.146 * [backup-simplify]: Simplify 0 into 0 19.146 * [backup-simplify]: Simplify 1 into 1 19.146 * [backup-simplify]: Simplify 0 into 0 19.146 * [taylor]: Taking taylor expansion of 0 in y 19.146 * [backup-simplify]: Simplify 0 into 0 19.146 * [backup-simplify]: Simplify 0 into 0 19.146 * [backup-simplify]: Simplify 1 into 1 19.146 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 19.146 * [backup-simplify]: Simplify (* 1 1) into 1 19.147 * [backup-simplify]: Simplify (+ 0 1) into 1 19.147 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 19.147 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 19.147 * [taylor]: Taking taylor expansion of 1/2 in y 19.147 * [backup-simplify]: Simplify 1/2 into 1/2 19.147 * [taylor]: Taking taylor expansion of y in y 19.147 * [backup-simplify]: Simplify 0 into 0 19.147 * [backup-simplify]: Simplify 1 into 1 19.147 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 19.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.149 * [backup-simplify]: Simplify (+ 0 0) into 0 19.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 19.149 * [taylor]: Taking taylor expansion of 0 in y 19.149 * [backup-simplify]: Simplify 0 into 0 19.149 * [backup-simplify]: Simplify 0 into 0 19.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.150 * [backup-simplify]: Simplify 0 into 0 19.150 * [backup-simplify]: Simplify 0 into 0 19.150 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 19.150 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 19.150 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 19.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.150 * [taylor]: Taking taylor expansion of y in y 19.150 * [backup-simplify]: Simplify 0 into 0 19.150 * [backup-simplify]: Simplify 1 into 1 19.151 * [backup-simplify]: Simplify (* 1 1) into 1 19.151 * [backup-simplify]: Simplify (/ 1 1) into 1 19.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.151 * [taylor]: Taking taylor expansion of x in y 19.151 * [backup-simplify]: Simplify x into x 19.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.151 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.151 * [backup-simplify]: Simplify (+ 1 0) into 1 19.151 * [backup-simplify]: Simplify (sqrt 1) into 1 19.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.152 * [backup-simplify]: Simplify (+ 0 0) into 0 19.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.153 * [taylor]: Taking taylor expansion of y in x 19.153 * [backup-simplify]: Simplify y into y 19.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.153 * [taylor]: Taking taylor expansion of x in x 19.153 * [backup-simplify]: Simplify 0 into 0 19.153 * [backup-simplify]: Simplify 1 into 1 19.153 * [backup-simplify]: Simplify (* 1 1) into 1 19.154 * [backup-simplify]: Simplify (/ 1 1) into 1 19.154 * [backup-simplify]: Simplify (+ 0 1) into 1 19.154 * [backup-simplify]: Simplify (sqrt 1) into 1 19.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.155 * [backup-simplify]: Simplify (+ 0 0) into 0 19.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.156 * [taylor]: Taking taylor expansion of y in x 19.156 * [backup-simplify]: Simplify y into y 19.156 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.156 * [taylor]: Taking taylor expansion of x in x 19.156 * [backup-simplify]: Simplify 0 into 0 19.156 * [backup-simplify]: Simplify 1 into 1 19.156 * [backup-simplify]: Simplify (* 1 1) into 1 19.156 * [backup-simplify]: Simplify (/ 1 1) into 1 19.157 * [backup-simplify]: Simplify (+ 0 1) into 1 19.157 * [backup-simplify]: Simplify (sqrt 1) into 1 19.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.158 * [backup-simplify]: Simplify (+ 0 0) into 0 19.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.159 * [taylor]: Taking taylor expansion of 1 in y 19.159 * [backup-simplify]: Simplify 1 into 1 19.159 * [taylor]: Taking taylor expansion of 0 in y 19.159 * [backup-simplify]: Simplify 0 into 0 19.159 * [backup-simplify]: Simplify 1 into 1 19.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.161 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 19.162 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 19.162 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 19.162 * [taylor]: Taking taylor expansion of 1/2 in y 19.162 * [backup-simplify]: Simplify 1/2 into 1/2 19.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.162 * [taylor]: Taking taylor expansion of y in y 19.162 * [backup-simplify]: Simplify 0 into 0 19.162 * [backup-simplify]: Simplify 1 into 1 19.162 * [backup-simplify]: Simplify (* 1 1) into 1 19.163 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.164 * [backup-simplify]: Simplify 0 into 0 19.164 * [backup-simplify]: Simplify 0 into 0 19.164 * [backup-simplify]: Simplify 0 into 0 19.164 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 19.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.166 * [backup-simplify]: Simplify (+ 0 0) into 0 19.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 19.167 * [taylor]: Taking taylor expansion of 0 in y 19.167 * [backup-simplify]: Simplify 0 into 0 19.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.168 * [backup-simplify]: Simplify 0 into 0 19.168 * [backup-simplify]: Simplify 0 into 0 19.168 * [backup-simplify]: Simplify 0 into 0 19.168 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 19.168 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 19.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 19.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.168 * [taylor]: Taking taylor expansion of y in y 19.168 * [backup-simplify]: Simplify 0 into 0 19.168 * [backup-simplify]: Simplify 1 into 1 19.168 * [backup-simplify]: Simplify (* 1 1) into 1 19.169 * [backup-simplify]: Simplify (/ 1 1) into 1 19.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.169 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.169 * [taylor]: Taking taylor expansion of x in y 19.169 * [backup-simplify]: Simplify x into x 19.169 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.169 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.169 * [backup-simplify]: Simplify (+ 1 0) into 1 19.169 * [backup-simplify]: Simplify (sqrt 1) into 1 19.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.170 * [backup-simplify]: Simplify (+ 0 0) into 0 19.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.171 * [taylor]: Taking taylor expansion of y in x 19.171 * [backup-simplify]: Simplify y into y 19.171 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.171 * [taylor]: Taking taylor expansion of x in x 19.171 * [backup-simplify]: Simplify 0 into 0 19.171 * [backup-simplify]: Simplify 1 into 1 19.171 * [backup-simplify]: Simplify (* 1 1) into 1 19.172 * [backup-simplify]: Simplify (/ 1 1) into 1 19.172 * [backup-simplify]: Simplify (+ 0 1) into 1 19.173 * [backup-simplify]: Simplify (sqrt 1) into 1 19.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.174 * [backup-simplify]: Simplify (+ 0 0) into 0 19.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.174 * [taylor]: Taking taylor expansion of y in x 19.174 * [backup-simplify]: Simplify y into y 19.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.175 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.175 * [taylor]: Taking taylor expansion of x in x 19.175 * [backup-simplify]: Simplify 0 into 0 19.175 * [backup-simplify]: Simplify 1 into 1 19.175 * [backup-simplify]: Simplify (* 1 1) into 1 19.175 * [backup-simplify]: Simplify (/ 1 1) into 1 19.175 * [backup-simplify]: Simplify (+ 0 1) into 1 19.176 * [backup-simplify]: Simplify (sqrt 1) into 1 19.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.177 * [backup-simplify]: Simplify (+ 0 0) into 0 19.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.177 * [taylor]: Taking taylor expansion of 1 in y 19.177 * [backup-simplify]: Simplify 1 into 1 19.177 * [taylor]: Taking taylor expansion of 0 in y 19.177 * [backup-simplify]: Simplify 0 into 0 19.177 * [backup-simplify]: Simplify 1 into 1 19.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.179 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 19.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 19.179 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 19.179 * [taylor]: Taking taylor expansion of 1/2 in y 19.179 * [backup-simplify]: Simplify 1/2 into 1/2 19.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.179 * [taylor]: Taking taylor expansion of y in y 19.179 * [backup-simplify]: Simplify 0 into 0 19.179 * [backup-simplify]: Simplify 1 into 1 19.180 * [backup-simplify]: Simplify (* 1 1) into 1 19.180 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.181 * [backup-simplify]: Simplify 0 into 0 19.181 * [backup-simplify]: Simplify 0 into 0 19.181 * [backup-simplify]: Simplify 0 into 0 19.181 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 19.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.182 * [backup-simplify]: Simplify (+ 0 0) into 0 19.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 19.183 * [taylor]: Taking taylor expansion of 0 in y 19.183 * [backup-simplify]: Simplify 0 into 0 19.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.184 * [backup-simplify]: Simplify 0 into 0 19.184 * [backup-simplify]: Simplify 0 into 0 19.184 * [backup-simplify]: Simplify 0 into 0 19.184 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 19.184 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 19.184 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 19.184 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 19.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 19.184 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 19.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.184 * [taylor]: Taking taylor expansion of y in y 19.184 * [backup-simplify]: Simplify 0 into 0 19.184 * [backup-simplify]: Simplify 1 into 1 19.184 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.184 * [taylor]: Taking taylor expansion of x in y 19.184 * [backup-simplify]: Simplify x into x 19.184 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.185 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 19.185 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 19.185 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 19.185 * [backup-simplify]: Simplify (+ 0 0) into 0 19.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 19.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 19.185 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 19.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.185 * [taylor]: Taking taylor expansion of y in x 19.185 * [backup-simplify]: Simplify y into y 19.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.185 * [taylor]: Taking taylor expansion of x in x 19.185 * [backup-simplify]: Simplify 0 into 0 19.185 * [backup-simplify]: Simplify 1 into 1 19.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.185 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 19.185 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 19.185 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.186 * [backup-simplify]: Simplify (+ 0 0) into 0 19.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 19.186 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 19.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 19.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.186 * [taylor]: Taking taylor expansion of y in x 19.186 * [backup-simplify]: Simplify y into y 19.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.186 * [taylor]: Taking taylor expansion of x in x 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * [backup-simplify]: Simplify 1 into 1 19.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.186 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 19.186 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 19.186 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.186 * [backup-simplify]: Simplify (+ 0 0) into 0 19.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 19.186 * [taylor]: Taking taylor expansion of y in y 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * [backup-simplify]: Simplify 1 into 1 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * [taylor]: Taking taylor expansion of 0 in y 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * [backup-simplify]: Simplify 0 into 0 19.186 * [backup-simplify]: Simplify 1 into 1 19.187 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 19.187 * [backup-simplify]: Simplify (* 1 1) into 1 19.187 * [backup-simplify]: Simplify (+ 0 1) into 1 19.189 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 19.189 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 19.189 * [taylor]: Taking taylor expansion of 1/2 in y 19.189 * [backup-simplify]: Simplify 1/2 into 1/2 19.189 * [taylor]: Taking taylor expansion of y in y 19.189 * [backup-simplify]: Simplify 0 into 0 19.189 * [backup-simplify]: Simplify 1 into 1 19.190 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.190 * [backup-simplify]: Simplify 0 into 0 19.190 * [backup-simplify]: Simplify 0 into 0 19.190 * [backup-simplify]: Simplify 0 into 0 19.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 19.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.191 * [backup-simplify]: Simplify (+ 0 0) into 0 19.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 19.191 * [taylor]: Taking taylor expansion of 0 in y 19.191 * [backup-simplify]: Simplify 0 into 0 19.191 * [backup-simplify]: Simplify 0 into 0 19.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.192 * [backup-simplify]: Simplify 0 into 0 19.192 * [backup-simplify]: Simplify 0 into 0 19.192 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 19.192 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 19.192 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 19.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.192 * [taylor]: Taking taylor expansion of y in y 19.192 * [backup-simplify]: Simplify 0 into 0 19.192 * [backup-simplify]: Simplify 1 into 1 19.193 * [backup-simplify]: Simplify (* 1 1) into 1 19.193 * [backup-simplify]: Simplify (/ 1 1) into 1 19.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.193 * [taylor]: Taking taylor expansion of x in y 19.193 * [backup-simplify]: Simplify x into x 19.193 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.193 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.193 * [backup-simplify]: Simplify (+ 1 0) into 1 19.194 * [backup-simplify]: Simplify (sqrt 1) into 1 19.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.195 * [backup-simplify]: Simplify (+ 0 0) into 0 19.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.195 * [taylor]: Taking taylor expansion of y in x 19.195 * [backup-simplify]: Simplify y into y 19.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.195 * [taylor]: Taking taylor expansion of x in x 19.195 * [backup-simplify]: Simplify 0 into 0 19.195 * [backup-simplify]: Simplify 1 into 1 19.196 * [backup-simplify]: Simplify (* 1 1) into 1 19.196 * [backup-simplify]: Simplify (/ 1 1) into 1 19.196 * [backup-simplify]: Simplify (+ 0 1) into 1 19.196 * [backup-simplify]: Simplify (sqrt 1) into 1 19.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.197 * [backup-simplify]: Simplify (+ 0 0) into 0 19.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.198 * [taylor]: Taking taylor expansion of y in x 19.198 * [backup-simplify]: Simplify y into y 19.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.198 * [taylor]: Taking taylor expansion of x in x 19.198 * [backup-simplify]: Simplify 0 into 0 19.198 * [backup-simplify]: Simplify 1 into 1 19.198 * [backup-simplify]: Simplify (* 1 1) into 1 19.199 * [backup-simplify]: Simplify (/ 1 1) into 1 19.199 * [backup-simplify]: Simplify (+ 0 1) into 1 19.199 * [backup-simplify]: Simplify (sqrt 1) into 1 19.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.200 * [backup-simplify]: Simplify (+ 0 0) into 0 19.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.201 * [taylor]: Taking taylor expansion of 1 in y 19.201 * [backup-simplify]: Simplify 1 into 1 19.201 * [taylor]: Taking taylor expansion of 0 in y 19.201 * [backup-simplify]: Simplify 0 into 0 19.201 * [backup-simplify]: Simplify 1 into 1 19.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.202 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 19.203 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 19.203 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 19.203 * [taylor]: Taking taylor expansion of 1/2 in y 19.203 * [backup-simplify]: Simplify 1/2 into 1/2 19.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.203 * [taylor]: Taking taylor expansion of y in y 19.203 * [backup-simplify]: Simplify 0 into 0 19.203 * [backup-simplify]: Simplify 1 into 1 19.203 * [backup-simplify]: Simplify (* 1 1) into 1 19.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.204 * [backup-simplify]: Simplify 0 into 0 19.204 * [backup-simplify]: Simplify 0 into 0 19.204 * [backup-simplify]: Simplify 0 into 0 19.204 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 19.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.206 * [backup-simplify]: Simplify (+ 0 0) into 0 19.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 19.206 * [taylor]: Taking taylor expansion of 0 in y 19.206 * [backup-simplify]: Simplify 0 into 0 19.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.207 * [backup-simplify]: Simplify 0 into 0 19.207 * [backup-simplify]: Simplify 0 into 0 19.207 * [backup-simplify]: Simplify 0 into 0 19.208 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 19.208 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 19.208 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 19.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 19.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 19.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 19.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.208 * [taylor]: Taking taylor expansion of y in y 19.208 * [backup-simplify]: Simplify 0 into 0 19.208 * [backup-simplify]: Simplify 1 into 1 19.208 * [backup-simplify]: Simplify (* 1 1) into 1 19.208 * [backup-simplify]: Simplify (/ 1 1) into 1 19.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 19.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 19.208 * [taylor]: Taking taylor expansion of x in y 19.208 * [backup-simplify]: Simplify x into x 19.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 19.208 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 19.209 * [backup-simplify]: Simplify (+ 1 0) into 1 19.209 * [backup-simplify]: Simplify (sqrt 1) into 1 19.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.210 * [backup-simplify]: Simplify (+ 0 0) into 0 19.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.211 * [taylor]: Taking taylor expansion of y in x 19.211 * [backup-simplify]: Simplify y into y 19.211 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.211 * [taylor]: Taking taylor expansion of x in x 19.211 * [backup-simplify]: Simplify 0 into 0 19.211 * [backup-simplify]: Simplify 1 into 1 19.211 * [backup-simplify]: Simplify (* 1 1) into 1 19.212 * [backup-simplify]: Simplify (/ 1 1) into 1 19.212 * [backup-simplify]: Simplify (+ 0 1) into 1 19.212 * [backup-simplify]: Simplify (sqrt 1) into 1 19.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.213 * [backup-simplify]: Simplify (+ 0 0) into 0 19.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 19.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 19.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 19.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 19.214 * [taylor]: Taking taylor expansion of y in x 19.214 * [backup-simplify]: Simplify y into y 19.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 19.214 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 19.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 19.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 19.214 * [taylor]: Taking taylor expansion of x in x 19.214 * [backup-simplify]: Simplify 0 into 0 19.214 * [backup-simplify]: Simplify 1 into 1 19.214 * [backup-simplify]: Simplify (* 1 1) into 1 19.214 * [backup-simplify]: Simplify (/ 1 1) into 1 19.215 * [backup-simplify]: Simplify (+ 0 1) into 1 19.215 * [backup-simplify]: Simplify (sqrt 1) into 1 19.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.216 * [backup-simplify]: Simplify (+ 0 0) into 0 19.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 19.217 * [taylor]: Taking taylor expansion of 1 in y 19.217 * [backup-simplify]: Simplify 1 into 1 19.217 * [taylor]: Taking taylor expansion of 0 in y 19.217 * [backup-simplify]: Simplify 0 into 0 19.217 * [backup-simplify]: Simplify 1 into 1 19.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.218 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 19.219 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 19.219 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 19.219 * [taylor]: Taking taylor expansion of 1/2 in y 19.219 * [backup-simplify]: Simplify 1/2 into 1/2 19.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 19.219 * [taylor]: Taking taylor expansion of y in y 19.219 * [backup-simplify]: Simplify 0 into 0 19.219 * [backup-simplify]: Simplify 1 into 1 19.219 * [backup-simplify]: Simplify (* 1 1) into 1 19.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 19.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 19.221 * [backup-simplify]: Simplify 0 into 0 19.221 * [backup-simplify]: Simplify 0 into 0 19.221 * [backup-simplify]: Simplify 0 into 0 19.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 19.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 19.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.222 * [backup-simplify]: Simplify (+ 0 0) into 0 19.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 19.223 * [taylor]: Taking taylor expansion of 0 in y 19.223 * [backup-simplify]: Simplify 0 into 0 19.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.224 * [backup-simplify]: Simplify 0 into 0 19.224 * [backup-simplify]: Simplify 0 into 0 19.224 * [backup-simplify]: Simplify 0 into 0 19.224 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 19.224 * * * [progress]: simplifying candidates 19.224 * * * * [progress]: [ 1 / 92 ] simplifiying candidate # 19.224 * * * * [progress]: [ 2 / 92 ] simplifiying candidate # 19.224 * * * * [progress]: [ 3 / 92 ] simplifiying candidate # 19.224 * * * * [progress]: [ 4 / 92 ] simplifiying candidate # 19.224 * * * * [progress]: [ 5 / 92 ] simplifiying candidate # 19.224 * * * * [progress]: [ 6 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 7 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 8 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 9 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 10 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 11 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 12 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 13 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 14 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 15 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 16 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 17 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 18 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 19 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 20 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 21 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 22 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 23 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 24 / 92 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))))> 19.225 * * * * [progress]: [ 25 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 26 / 92 ] simplifiying candidate # 19.225 * * * * [progress]: [ 27 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 28 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 29 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 30 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 31 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 32 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 33 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 34 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 35 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 36 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 37 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 38 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 39 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 40 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 41 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 42 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 43 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 44 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 45 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 46 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 47 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 48 / 92 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* x x) (* y y))))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> 19.226 * * * * [progress]: [ 49 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 50 / 92 ] simplifiying candidate # 19.226 * * * * [progress]: [ 51 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 52 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 53 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 54 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 55 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 56 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 57 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 58 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 59 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 60 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 61 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 62 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 63 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 64 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> 19.227 * * * * [progress]: [ 65 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 66 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 67 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 68 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 69 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 70 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 71 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 72 / 92 ] simplifiying candidate # 19.227 * * * * [progress]: [ 73 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 74 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 75 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 76 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 77 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 78 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 79 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 80 / 92 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* y y)))))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))))> 19.228 * * * * [progress]: [ 81 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 82 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 83 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 84 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 85 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 86 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 87 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 88 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 89 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 90 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 91 / 92 ] simplifiying candidate # 19.228 * * * * [progress]: [ 92 / 92 ] simplifiying candidate # 19.229 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* y y) 1) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* y y) (+ (* x x) (* y y)))) (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* y y) 1) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* y y) (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (real->posit16 (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (real->posit16 (sqrt (+ (* x x) (* y y)))) 0 0 0 0 0 0 y x (* -1 x) y x (* -1 x) 19.230 * * [simplify]: iteration 1: (77 enodes) 19.246 * * [simplify]: iteration 2: (199 enodes) 19.314 * * [simplify]: iteration 3: (682 enodes) 19.725 * * [simplify]: Extracting #0: cost 41 inf + 0 19.725 * * [simplify]: Extracting #1: cost 235 inf + 87 19.727 * * [simplify]: Extracting #2: cost 455 inf + 1277 19.730 * * [simplify]: Extracting #3: cost 583 inf + 5346 19.740 * * [simplify]: Extracting #4: cost 339 inf + 64915 19.778 * * [simplify]: Extracting #5: cost 30 inf + 157411 19.821 * * [simplify]: Extracting #6: cost 0 inf + 165391 19.860 * [simplify]: Simplified to: (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (- (* y y)) (- (* (- x) x) (* y y)) (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ y (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) y (/ y (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* y y)) (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))) (/ (* y y) (sqrt (+ (* y y) (* x x)))) (* y y) (/ (+ (* y y) (* x x)) y) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (* (- (* x x) (* y y)) (+ (* y y) (* x x)))) (real->posit16 (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (- (* y y)) (- (* (- x) x) (* y y)) (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ y (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) y (/ y (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* y y)) (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))) (/ (* y y) (sqrt (+ (* y y) (* x x)))) (* y y) (/ (+ (* y y) (* x x)) y) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (* (- (* x x) (* y y)) (+ (* y y) (* x x)))) (real->posit16 (/ (* y y) (+ (* y y) (* x x)))) (log (sqrt (+ (* y y) (* x x)))) (exp (sqrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (sqrt (+ (* y y) (* x x)))) (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) 1 (sqrt (+ (* y y) (* x x))) (sqrt (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (sqrt (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))) (sqrt (* (- (* x x) (* y y)) (+ (* y y) (* x x)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (real->posit16 (sqrt (+ (* y y) (* x x)))) (log (sqrt (+ (* y y) (* x x)))) (exp (sqrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (sqrt (+ (* y y) (* x x)))) (fabs (cbrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) 1 (sqrt (+ (* y y) (* x x))) (sqrt (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (sqrt (+ (* (- (* y y) (* x x)) (* y y)) (* (* x x) (* x x)))) (sqrt (* (- (* x x) (* y y)) (+ (* y y) (* x x)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))) (real->posit16 (sqrt (+ (* y y) (* x x)))) 0 0 0 0 0 0 y x (- x) y x (- x) 19.876 * * * [progress]: adding candidates to table 20.933 * [progress]: [Phase 3 of 3] Extracting. 20.933 * * [regime]: Finding splitpoints for: (# # # #) 20.934 * * * [regime-changes]: Trying 2 branch expressions: (y x) 20.934 * * * * [regimes]: Trying to branch on y from (# # # #) 20.983 * * * * [regimes]: Trying to branch on x from (# # # #) 21.045 * * * [regime]: Found split indices: #