21.042 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.061 * * [simplify]: iteration 0: 9 enodes 0.064 * * [simplify]: iteration 1: 22 enodes 0.072 * * [simplify]: iteration 2: 46 enodes 0.089 * * [simplify]: iteration 3: 95 enodes 0.121 * * [simplify]: iteration 4: 177 enodes 0.178 * * [simplify]: iteration 5: 339 enodes 0.289 * * [simplify]: iteration 6: 575 enodes 0.596 * * [simplify]: iteration 7: 1519 enodes 2.198 * * [simplify]: iteration complete: 5002 enodes 2.199 * * [simplify]: Extracting #0: cost 1 inf + 0 2.199 * * [simplify]: Extracting #1: cost 286 inf + 0 2.201 * * [simplify]: Extracting #2: cost 1023 inf + 1 2.207 * * [simplify]: Extracting #3: cost 1586 inf + 4035 2.232 * * [simplify]: Extracting #4: cost 952 inf + 73800 2.280 * * [simplify]: Extracting #5: cost 263 inf + 226185 2.368 * * [simplify]: Extracting #6: cost 22 inf + 292710 2.491 * * [simplify]: Extracting #7: cost 0 inf + 300274 2.589 * [simplify]: Simplified to: (- (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) 2.597 * * [progress]: iteration 1 / 4 2.598 * * * [progress]: picking best candidate 2.604 * * * * [pick]: Picked # 2.604 * * * [progress]: localizing error 2.631 * * * [progress]: generating rewritten candidates 2.632 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.676 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.689 * * * [progress]: generating series expansions 2.689 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.690 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) 2.690 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (x y) around 0 2.690 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y 2.690 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 2.690 * [taylor]: Taking taylor expansion of (+ x y) in y 2.690 * [taylor]: Taking taylor expansion of x in y 2.690 * [backup-simplify]: Simplify x into x 2.690 * [taylor]: Taking taylor expansion of y in y 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of (- x y) in y 2.690 * [taylor]: Taking taylor expansion of x in y 2.690 * [backup-simplify]: Simplify x into x 2.690 * [taylor]: Taking taylor expansion of y in y 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.690 * [taylor]: Taking taylor expansion of y in y 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.690 * [taylor]: Taking taylor expansion of x in y 2.691 * [backup-simplify]: Simplify x into x 2.691 * [backup-simplify]: Simplify (+ x 0) into x 2.691 * [backup-simplify]: Simplify (- 0) into 0 2.691 * [backup-simplify]: Simplify (+ x 0) into x 2.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.692 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.692 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.692 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x 2.692 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.692 * [taylor]: Taking taylor expansion of (+ x y) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [taylor]: Taking taylor expansion of (- x y) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (+ 0 y) into y 2.692 * [backup-simplify]: Simplify (- y) into (- y) 2.692 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.693 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.693 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.693 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.693 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 2.693 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x 2.693 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 2.693 * [taylor]: Taking taylor expansion of (+ x y) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of y in x 2.693 * [backup-simplify]: Simplify y into y 2.693 * [taylor]: Taking taylor expansion of (- x y) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [taylor]: Taking taylor expansion of y in x 2.693 * [backup-simplify]: Simplify y into y 2.693 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.693 * [taylor]: Taking taylor expansion of y in x 2.693 * [backup-simplify]: Simplify y into y 2.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (+ 0 y) into y 2.694 * [backup-simplify]: Simplify (- y) into (- y) 2.694 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.694 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.694 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.694 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.694 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 2.694 * [taylor]: Taking taylor expansion of -1 in y 2.694 * [backup-simplify]: Simplify -1 into -1 2.694 * [backup-simplify]: Simplify -1 into -1 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.695 * [backup-simplify]: Simplify (+ 1 0) into 1 2.695 * [backup-simplify]: Simplify (+ 1 0) into 1 2.695 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 2.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 2.696 * [taylor]: Taking taylor expansion of 0 in y 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify (- 0) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 2.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.697 * [backup-simplify]: Simplify (* 1 1) into 1 2.698 * [backup-simplify]: Simplify (+ 0 1) into 1 2.698 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 2.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.698 * [taylor]: Taking taylor expansion of 2 in y 2.698 * [backup-simplify]: Simplify 2 into 2 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.698 * [taylor]: Taking taylor expansion of y in y 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (* 1 1) into 1 2.698 * [backup-simplify]: Simplify (/ 1 1) into 1 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (- 0) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 2.703 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.703 * [backup-simplify]: Simplify (+ 0 0) into 0 2.704 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 2.704 * [taylor]: Taking taylor expansion of 0 in y 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify -1 into -1 2.704 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2.705 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 2.705 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 2.705 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.705 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.705 * [taylor]: Taking taylor expansion of x in y 2.705 * [backup-simplify]: Simplify x into x 2.705 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.705 * [taylor]: Taking taylor expansion of y in y 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.705 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.705 * [taylor]: Taking taylor expansion of x in y 2.705 * [backup-simplify]: Simplify x into x 2.705 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.705 * [taylor]: Taking taylor expansion of y in y 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.705 * [taylor]: Taking taylor expansion of y in y 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.706 * [backup-simplify]: Simplify (* 1 1) into 1 2.706 * [backup-simplify]: Simplify (/ 1 1) into 1 2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.706 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.706 * [taylor]: Taking taylor expansion of x in y 2.706 * [backup-simplify]: Simplify x into x 2.706 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.706 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.706 * [backup-simplify]: Simplify (+ 0 1) into 1 2.707 * [backup-simplify]: Simplify (- 1) into -1 2.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.711 * [backup-simplify]: Simplify (* 1 -1) into -1 2.712 * [backup-simplify]: Simplify (+ 1 0) into 1 2.712 * [backup-simplify]: Simplify (/ -1 1) into -1 2.712 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (/ 1 1) into 1 2.712 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.712 * [taylor]: Taking taylor expansion of y in x 2.712 * [backup-simplify]: Simplify y into y 2.712 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.712 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.713 * [taylor]: Taking taylor expansion of y in x 2.713 * [backup-simplify]: Simplify y into y 2.713 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.713 * [taylor]: Taking taylor expansion of y in x 2.713 * [backup-simplify]: Simplify y into y 2.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (* 1 1) into 1 2.714 * [backup-simplify]: Simplify (/ 1 1) into 1 2.714 * [backup-simplify]: Simplify (+ 1 0) into 1 2.714 * [backup-simplify]: Simplify (+ 1 0) into 1 2.714 * [backup-simplify]: Simplify (* 1 1) into 1 2.715 * [backup-simplify]: Simplify (+ 0 1) into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.715 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 2.715 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (/ 1 1) into 1 2.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.716 * [taylor]: Taking taylor expansion of y in x 2.716 * [backup-simplify]: Simplify y into y 2.716 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.716 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.716 * [taylor]: Taking taylor expansion of x in x 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (/ 1 1) into 1 2.716 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.716 * [taylor]: Taking taylor expansion of y in x 2.716 * [backup-simplify]: Simplify y into y 2.716 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.716 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.716 * [taylor]: Taking taylor expansion of y in x 2.716 * [backup-simplify]: Simplify y into y 2.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.717 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.717 * [taylor]: Taking taylor expansion of x in x 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (* 1 1) into 1 2.717 * [backup-simplify]: Simplify (/ 1 1) into 1 2.717 * [backup-simplify]: Simplify (+ 1 0) into 1 2.718 * [backup-simplify]: Simplify (+ 1 0) into 1 2.718 * [backup-simplify]: Simplify (* 1 1) into 1 2.718 * [backup-simplify]: Simplify (+ 0 1) into 1 2.718 * [backup-simplify]: Simplify (/ 1 1) into 1 2.718 * [taylor]: Taking taylor expansion of 1 in y 2.718 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.719 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.720 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ 0 0) into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.721 * [taylor]: Taking taylor expansion of 0 in y 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.722 * [backup-simplify]: Simplify (- 0) into 0 2.722 * [backup-simplify]: Simplify (+ 0 0) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2))) 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.726 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.726 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.726 * [taylor]: Taking taylor expansion of 2 in y 2.726 * [backup-simplify]: Simplify 2 into 2 2.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.726 * [taylor]: Taking taylor expansion of y in y 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (* 1 1) into 1 2.727 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.731 * [backup-simplify]: Simplify (- 0) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.733 * [backup-simplify]: Simplify (- 0) into 0 2.733 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.739 * [taylor]: Taking taylor expansion of 0 in y 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.740 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 2.740 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.740 * [taylor]: Taking taylor expansion of -1 in y 2.740 * [backup-simplify]: Simplify -1 into -1 2.740 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.740 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y 2.740 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.740 * [taylor]: Taking taylor expansion of y in y 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.740 * [taylor]: Taking taylor expansion of x in y 2.740 * [backup-simplify]: Simplify x into x 2.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.740 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 2.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.740 * [taylor]: Taking taylor expansion of x in y 2.740 * [backup-simplify]: Simplify x into x 2.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.740 * [taylor]: Taking taylor expansion of y in y 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.741 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (* 1 1) into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.741 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.741 * [taylor]: Taking taylor expansion of x in y 2.741 * [backup-simplify]: Simplify x into x 2.741 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.741 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.742 * [backup-simplify]: Simplify (+ 1 0) into 1 2.742 * [backup-simplify]: Simplify (+ 0 1) into 1 2.742 * [backup-simplify]: Simplify (* 1 1) into 1 2.742 * [backup-simplify]: Simplify (+ 1 0) into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.743 * [taylor]: Taking taylor expansion of -1 in x 2.743 * [backup-simplify]: Simplify -1 into -1 2.743 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.743 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 2.743 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.743 * [taylor]: Taking taylor expansion of y in x 2.743 * [backup-simplify]: Simplify y into y 2.743 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.744 * [taylor]: Taking taylor expansion of y in x 2.744 * [backup-simplify]: Simplify y into y 2.744 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.744 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.744 * [taylor]: Taking taylor expansion of y in x 2.744 * [backup-simplify]: Simplify y into y 2.744 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.744 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.745 * [backup-simplify]: Simplify (- 1) into -1 2.745 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.745 * [backup-simplify]: Simplify (+ 1 0) into 1 2.745 * [backup-simplify]: Simplify (* -1 1) into -1 2.746 * [backup-simplify]: Simplify (+ 0 1) into 1 2.746 * [backup-simplify]: Simplify (/ -1 1) into -1 2.746 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.746 * [taylor]: Taking taylor expansion of -1 in x 2.746 * [backup-simplify]: Simplify -1 into -1 2.746 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.746 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 2.746 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.746 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.746 * [taylor]: Taking taylor expansion of y in x 2.746 * [backup-simplify]: Simplify y into y 2.746 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 2.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.747 * [taylor]: Taking taylor expansion of y in x 2.747 * [backup-simplify]: Simplify y into y 2.747 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.747 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.747 * [taylor]: Taking taylor expansion of y in x 2.747 * [backup-simplify]: Simplify y into y 2.747 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.747 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (/ 1 1) into 1 2.748 * [backup-simplify]: Simplify (- 1) into -1 2.748 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.748 * [backup-simplify]: Simplify (+ 1 0) into 1 2.749 * [backup-simplify]: Simplify (* -1 1) into -1 2.749 * [backup-simplify]: Simplify (+ 0 1) into 1 2.749 * [backup-simplify]: Simplify (/ -1 1) into -1 2.749 * [backup-simplify]: Simplify (* -1 -1) into 1 2.750 * [taylor]: Taking taylor expansion of 1 in y 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- 0) into 0 2.751 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.751 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.753 * [taylor]: Taking taylor expansion of 0 in y 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (- 0) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.757 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 2.758 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 2.758 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.758 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.758 * [taylor]: Taking taylor expansion of 2 in y 2.758 * [backup-simplify]: Simplify 2 into 2 2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.758 * [taylor]: Taking taylor expansion of y in y 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.759 * [backup-simplify]: Simplify (/ 1 1) into 1 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.761 * [backup-simplify]: Simplify (- 0) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.762 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 2.768 * [taylor]: Taking taylor expansion of 0 in y 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.768 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 2.768 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 2.768 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.768 * [taylor]: Taking taylor expansion of y in y 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.768 * [taylor]: Taking taylor expansion of x in y 2.768 * [backup-simplify]: Simplify x into x 2.768 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.768 * [taylor]: Taking taylor expansion of y in x 2.768 * [backup-simplify]: Simplify y into y 2.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.768 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.768 * [taylor]: Taking taylor expansion of y in x 2.768 * [backup-simplify]: Simplify y into y 2.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.769 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.769 * [taylor]: Taking taylor expansion of y in y 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [taylor]: Taking taylor expansion of 0 in y 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.770 * [backup-simplify]: Simplify (* 1 1) into 1 2.770 * [backup-simplify]: Simplify (+ 0 1) into 1 2.770 * [taylor]: Taking taylor expansion of 1 in y 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (* 1 1) into 1 2.771 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.773 * [backup-simplify]: Simplify (+ 0 0) into 0 2.773 * [taylor]: Taking taylor expansion of 0 in y 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [taylor]: Taking taylor expansion of 0 in y 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 2.777 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.777 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.778 * [taylor]: Taking taylor expansion of y in y 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.778 * [taylor]: Taking taylor expansion of x in y 2.779 * [backup-simplify]: Simplify x into x 2.779 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.779 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.779 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.779 * [taylor]: Taking taylor expansion of y in x 2.779 * [backup-simplify]: Simplify y into y 2.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.779 * [taylor]: Taking taylor expansion of x in x 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (/ 1 1) into 1 2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.780 * [taylor]: Taking taylor expansion of y in x 2.780 * [backup-simplify]: Simplify y into y 2.780 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.780 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.780 * [taylor]: Taking taylor expansion of x in x 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (* 1 1) into 1 2.781 * [backup-simplify]: Simplify (/ 1 1) into 1 2.782 * [backup-simplify]: Simplify (+ 0 1) into 1 2.782 * [taylor]: Taking taylor expansion of 1 in y 2.782 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [taylor]: Taking taylor expansion of 0 in y 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.786 * [taylor]: Taking taylor expansion of y in y 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (* 1 1) into 1 2.787 * [backup-simplify]: Simplify (/ 1 1) into 1 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [taylor]: Taking taylor expansion of 0 in y 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0) into 0 2.795 * [taylor]: Taking taylor expansion of 0 in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.798 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.798 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.799 * [taylor]: Taking taylor expansion of y in y 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (/ 1 1) into 1 2.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.799 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.799 * [taylor]: Taking taylor expansion of x in y 2.800 * [backup-simplify]: Simplify x into x 2.800 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.800 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.800 * [taylor]: Taking taylor expansion of y in x 2.800 * [backup-simplify]: Simplify y into y 2.800 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.800 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (* 1 1) into 1 2.801 * [backup-simplify]: Simplify (/ 1 1) into 1 2.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.801 * [taylor]: Taking taylor expansion of y in x 2.801 * [backup-simplify]: Simplify y into y 2.801 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.801 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [backup-simplify]: Simplify (+ 0 1) into 1 2.803 * [taylor]: Taking taylor expansion of 1 in y 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [taylor]: Taking taylor expansion of 0 in y 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.807 * [taylor]: Taking taylor expansion of y in y 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [taylor]: Taking taylor expansion of 0 in y 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [taylor]: Taking taylor expansion of 0 in y 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.816 * * * [progress]: simplifying candidates 2.817 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 2.818 * * [simplify]: iteration 0: 91 enodes 2.844 * * [simplify]: iteration 1: 321 enodes 3.015 * * [simplify]: iteration 2: 1471 enodes 3.485 * * [simplify]: iteration complete: 5016 enodes 3.485 * * [simplify]: Extracting #0: cost 42 inf + 0 3.487 * * [simplify]: Extracting #1: cost 765 inf + 2 3.491 * * [simplify]: Extracting #2: cost 1706 inf + 6 3.517 * * [simplify]: Extracting #3: cost 1922 inf + 31046 3.601 * * [simplify]: Extracting #4: cost 810 inf + 280032 3.715 * * [simplify]: Extracting #5: cost 114 inf + 467260 3.874 * * [simplify]: Extracting #6: cost 11 inf + 492130 4.037 * * [simplify]: Extracting #7: cost 0 inf + 495460 4.196 * [simplify]: Simplified to: (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (exp (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (* (* (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (* (* (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (* (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))) (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (* (* (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (sqrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (sqrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (* (- x y) (- (+ y x))) (- (* (- x) x) (* y y)) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ y x) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ y x) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ y x) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) (/ (/ (- (* x x) (* y y)) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (/ (- (* x x) (* y y)) (sqrt (+ (* x x) (* y y)))) (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (+ y x)) (/ (- (* x x) (* y y)) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y (* y y)) (* y (* y y))))) (/ (- (* x x) (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* (- (* y y) (- (* x y) (* x x))) (* x y)) (* (- (* y y) (- (* x y) (* x x))) (+ (* x x) (* y y))))) (* (+ (* x x) (* y (+ y x))) (* (- x y) (+ (* x x) (* y y)))) (* (* (+ y x) (+ (* x x) (* y y))) (+ (* x x) (* y (- y x)))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (- (* y y) (- (* x y) (* x x))) (+ (* x x) (* y y))) (* (- x y) (+ (* x x) (* y y))) (+ (* (+ (* x x) (* y y)) (* x y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) (* (+ y x) (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y (* y y)) (* y (* y y)))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 4.198 * * * [progress]: adding candidates to table 4.412 * * [progress]: iteration 2 / 4 4.412 * * * [progress]: picking best candidate 4.431 * * * * [pick]: Picked # 4.431 * * * [progress]: localizing error 4.482 * * * [progress]: generating rewritten candidates 4.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.488 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.494 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.626 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.673 * * * [progress]: generating series expansions 4.673 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.673 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 4.673 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 4.673 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 4.673 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.674 * [taylor]: Taking taylor expansion of y in y 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.674 * [taylor]: Taking taylor expansion of x in y 4.674 * [backup-simplify]: Simplify x into x 4.674 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.674 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.674 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.674 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.675 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 4.675 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.675 * [taylor]: Taking taylor expansion of y in x 4.675 * [backup-simplify]: Simplify y into y 4.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.676 * [taylor]: Taking taylor expansion of x in x 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.676 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.676 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.676 * [backup-simplify]: Simplify (+ 0 0) into 0 4.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 4.677 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.677 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.677 * [taylor]: Taking taylor expansion of y in x 4.677 * [backup-simplify]: Simplify y into y 4.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.677 * [taylor]: Taking taylor expansion of x in x 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.677 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.677 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.677 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.679 * [taylor]: Taking taylor expansion of y in y 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [taylor]: Taking taylor expansion of 0 in y 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.680 * [backup-simplify]: Simplify (* 1 1) into 1 4.681 * [backup-simplify]: Simplify (+ 0 1) into 1 4.681 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.682 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.682 * [taylor]: Taking taylor expansion of 1/2 in y 4.682 * [backup-simplify]: Simplify 1/2 into 1/2 4.682 * [taylor]: Taking taylor expansion of y in y 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.685 * [taylor]: Taking taylor expansion of 0 in y 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.687 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 4.687 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 4.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.687 * [taylor]: Taking taylor expansion of y in y 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [backup-simplify]: Simplify (* 1 1) into 1 4.687 * [backup-simplify]: Simplify (/ 1 1) into 1 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.688 * [taylor]: Taking taylor expansion of x in y 4.688 * [backup-simplify]: Simplify x into x 4.688 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.688 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.688 * [backup-simplify]: Simplify (+ 1 0) into 1 4.689 * [backup-simplify]: Simplify (sqrt 1) into 1 4.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.691 * [backup-simplify]: Simplify (+ 0 0) into 0 4.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.691 * [taylor]: Taking taylor expansion of y in x 4.691 * [backup-simplify]: Simplify y into y 4.691 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.692 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.692 * [taylor]: Taking taylor expansion of x in x 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (* 1 1) into 1 4.692 * [backup-simplify]: Simplify (/ 1 1) into 1 4.693 * [backup-simplify]: Simplify (+ 0 1) into 1 4.693 * [backup-simplify]: Simplify (sqrt 1) into 1 4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.695 * [backup-simplify]: Simplify (+ 0 0) into 0 4.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.696 * [taylor]: Taking taylor expansion of y in x 4.696 * [backup-simplify]: Simplify y into y 4.696 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.696 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.696 * [taylor]: Taking taylor expansion of x in x 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (* 1 1) into 1 4.697 * [backup-simplify]: Simplify (/ 1 1) into 1 4.697 * [backup-simplify]: Simplify (+ 0 1) into 1 4.697 * [backup-simplify]: Simplify (sqrt 1) into 1 4.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.700 * [taylor]: Taking taylor expansion of 1 in y 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [taylor]: Taking taylor expansion of 0 in y 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.703 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.703 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.703 * [taylor]: Taking taylor expansion of 1/2 in y 4.703 * [backup-simplify]: Simplify 1/2 into 1/2 4.703 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.703 * [taylor]: Taking taylor expansion of y in y 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [backup-simplify]: Simplify (* 1 1) into 1 4.704 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.709 * [taylor]: Taking taylor expansion of 0 in y 4.709 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.711 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 4.711 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 4.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.711 * [taylor]: Taking taylor expansion of y in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.712 * [backup-simplify]: Simplify (* 1 1) into 1 4.712 * [backup-simplify]: Simplify (/ 1 1) into 1 4.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.712 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.712 * [taylor]: Taking taylor expansion of x in y 4.712 * [backup-simplify]: Simplify x into x 4.712 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.712 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.713 * [backup-simplify]: Simplify (+ 1 0) into 1 4.713 * [backup-simplify]: Simplify (sqrt 1) into 1 4.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.715 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.715 * [taylor]: Taking taylor expansion of y in x 4.715 * [backup-simplify]: Simplify y into y 4.715 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.715 * [taylor]: Taking taylor expansion of x in x 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (* 1 1) into 1 4.715 * [backup-simplify]: Simplify (/ 1 1) into 1 4.716 * [backup-simplify]: Simplify (+ 0 1) into 1 4.716 * [backup-simplify]: Simplify (sqrt 1) into 1 4.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.717 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.717 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.717 * [taylor]: Taking taylor expansion of y in x 4.718 * [backup-simplify]: Simplify y into y 4.718 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.718 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.718 * [taylor]: Taking taylor expansion of x in x 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 1 into 1 4.718 * [backup-simplify]: Simplify (* 1 1) into 1 4.718 * [backup-simplify]: Simplify (/ 1 1) into 1 4.718 * [backup-simplify]: Simplify (+ 0 1) into 1 4.719 * [backup-simplify]: Simplify (sqrt 1) into 1 4.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (+ 0 0) into 0 4.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.720 * [taylor]: Taking taylor expansion of 1 in y 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [taylor]: Taking taylor expansion of 0 in y 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.722 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.722 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.722 * [taylor]: Taking taylor expansion of 1/2 in y 4.722 * [backup-simplify]: Simplify 1/2 into 1/2 4.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.723 * [taylor]: Taking taylor expansion of y in y 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (* 1 1) into 1 4.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.726 * [taylor]: Taking taylor expansion of 0 in y 4.726 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.727 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.728 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2))) 4.728 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0 4.728 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y 4.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.728 * [taylor]: Taking taylor expansion of y in y 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 1 into 1 4.728 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.728 * [taylor]: Taking taylor expansion of x in y 4.728 * [backup-simplify]: Simplify x into x 4.728 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.728 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.728 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.728 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.728 * [backup-simplify]: Simplify (+ 0 0) into 0 4.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.728 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 4.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.728 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.728 * [taylor]: Taking taylor expansion of y in x 4.728 * [backup-simplify]: Simplify y into y 4.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.728 * [taylor]: Taking taylor expansion of x in x 4.728 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.729 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.729 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.729 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x 4.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.729 * [taylor]: Taking taylor expansion of y in x 4.729 * [backup-simplify]: Simplify y into y 4.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.729 * [taylor]: Taking taylor expansion of x in x 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.729 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.729 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 4.730 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.730 * [backup-simplify]: Simplify (+ 0 0) into 0 4.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 4.730 * [taylor]: Taking taylor expansion of y in y 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [taylor]: Taking taylor expansion of 0 in y 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.731 * [backup-simplify]: Simplify (* 1 1) into 1 4.731 * [backup-simplify]: Simplify (+ 0 1) into 1 4.731 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 4.731 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.731 * [taylor]: Taking taylor expansion of 1/2 in y 4.731 * [backup-simplify]: Simplify 1/2 into 1/2 4.731 * [taylor]: Taking taylor expansion of y in y 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 4.734 * [taylor]: Taking taylor expansion of 0 in y 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 4.735 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 4.735 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 4.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.736 * [taylor]: Taking taylor expansion of y in y 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (* 1 1) into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.742 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.742 * [taylor]: Taking taylor expansion of x in y 4.742 * [backup-simplify]: Simplify x into x 4.742 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.743 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.743 * [backup-simplify]: Simplify (+ 1 0) into 1 4.743 * [backup-simplify]: Simplify (sqrt 1) into 1 4.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.745 * [backup-simplify]: Simplify (+ 0 0) into 0 4.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.746 * [taylor]: Taking taylor expansion of y in x 4.746 * [backup-simplify]: Simplify y into y 4.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.747 * [taylor]: Taking taylor expansion of x in x 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (* 1 1) into 1 4.747 * [backup-simplify]: Simplify (/ 1 1) into 1 4.748 * [backup-simplify]: Simplify (+ 0 1) into 1 4.748 * [backup-simplify]: Simplify (sqrt 1) into 1 4.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.750 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.751 * [taylor]: Taking taylor expansion of y in x 4.751 * [backup-simplify]: Simplify y into y 4.751 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.751 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.751 * [taylor]: Taking taylor expansion of x in x 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.752 * [backup-simplify]: Simplify (* 1 1) into 1 4.752 * [backup-simplify]: Simplify (/ 1 1) into 1 4.753 * [backup-simplify]: Simplify (+ 0 1) into 1 4.753 * [backup-simplify]: Simplify (sqrt 1) into 1 4.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.755 * [backup-simplify]: Simplify (+ 0 0) into 0 4.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.756 * [taylor]: Taking taylor expansion of 1 in y 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [taylor]: Taking taylor expansion of 0 in y 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.760 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.760 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.760 * [taylor]: Taking taylor expansion of 1/2 in y 4.760 * [backup-simplify]: Simplify 1/2 into 1/2 4.760 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.760 * [taylor]: Taking taylor expansion of y in y 4.760 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 1 into 1 4.761 * [backup-simplify]: Simplify (* 1 1) into 1 4.761 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.766 * [taylor]: Taking taylor expansion of 0 in y 4.766 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.768 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 4.768 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 4.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.768 * [taylor]: Taking taylor expansion of y in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify (* 1 1) into 1 4.769 * [backup-simplify]: Simplify (/ 1 1) into 1 4.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.769 * [taylor]: Taking taylor expansion of x in y 4.769 * [backup-simplify]: Simplify x into x 4.769 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.770 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.770 * [backup-simplify]: Simplify (+ 1 0) into 1 4.770 * [backup-simplify]: Simplify (sqrt 1) into 1 4.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.773 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (* 1 1) into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.775 * [backup-simplify]: Simplify (+ 0 1) into 1 4.775 * [backup-simplify]: Simplify (sqrt 1) into 1 4.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ 0 0) into 0 4.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.778 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.778 * [taylor]: Taking taylor expansion of y in x 4.778 * [backup-simplify]: Simplify y into y 4.778 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.779 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.779 * [taylor]: Taking taylor expansion of x in x 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (* 1 1) into 1 4.779 * [backup-simplify]: Simplify (/ 1 1) into 1 4.780 * [backup-simplify]: Simplify (+ 0 1) into 1 4.780 * [backup-simplify]: Simplify (sqrt 1) into 1 4.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.783 * [taylor]: Taking taylor expansion of 1 in y 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [taylor]: Taking taylor expansion of 0 in y 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify 1 into 1 4.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.786 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 4.786 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 4.786 * [taylor]: Taking taylor expansion of 1/2 in y 4.786 * [backup-simplify]: Simplify 1/2 into 1/2 4.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.786 * [taylor]: Taking taylor expansion of y in y 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 4.790 * [taylor]: Taking taylor expansion of 0 in y 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.791 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.791 * [backup-simplify]: Simplify (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) 4.791 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (x y) around 0 4.791 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y 4.791 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 4.791 * [taylor]: Taking taylor expansion of (+ x y) in y 4.791 * [taylor]: Taking taylor expansion of x in y 4.791 * [backup-simplify]: Simplify x into x 4.791 * [taylor]: Taking taylor expansion of y in y 4.791 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [taylor]: Taking taylor expansion of (- x y) in y 4.792 * [taylor]: Taking taylor expansion of x in y 4.792 * [backup-simplify]: Simplify x into x 4.792 * [taylor]: Taking taylor expansion of y in y 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.792 * [taylor]: Taking taylor expansion of y in y 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.792 * [taylor]: Taking taylor expansion of x in y 4.792 * [backup-simplify]: Simplify x into x 4.792 * [backup-simplify]: Simplify (+ x 0) into x 4.792 * [backup-simplify]: Simplify (- 0) into 0 4.792 * [backup-simplify]: Simplify (+ x 0) into x 4.792 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.792 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.792 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.792 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.792 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x 4.792 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.792 * [taylor]: Taking taylor expansion of (+ x y) in x 4.792 * [taylor]: Taking taylor expansion of x in x 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 1 into 1 4.792 * [taylor]: Taking taylor expansion of y in x 4.793 * [backup-simplify]: Simplify y into y 4.793 * [taylor]: Taking taylor expansion of (- x y) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [taylor]: Taking taylor expansion of y in x 4.793 * [backup-simplify]: Simplify y into y 4.793 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.793 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.793 * [taylor]: Taking taylor expansion of y in x 4.793 * [backup-simplify]: Simplify y into y 4.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [backup-simplify]: Simplify (+ 0 y) into y 4.793 * [backup-simplify]: Simplify (- y) into (- y) 4.793 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.793 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.793 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.793 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.793 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.793 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x 4.793 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 4.793 * [taylor]: Taking taylor expansion of (+ x y) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [taylor]: Taking taylor expansion of y in x 4.793 * [backup-simplify]: Simplify y into y 4.793 * [taylor]: Taking taylor expansion of (- x y) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [taylor]: Taking taylor expansion of y in x 4.793 * [backup-simplify]: Simplify y into y 4.793 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.793 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.793 * [taylor]: Taking taylor expansion of y in x 4.793 * [backup-simplify]: Simplify y into y 4.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [backup-simplify]: Simplify (+ 0 y) into y 4.794 * [backup-simplify]: Simplify (- y) into (- y) 4.794 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.794 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 4.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.794 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.794 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 4.794 * [taylor]: Taking taylor expansion of -1 in y 4.794 * [backup-simplify]: Simplify -1 into -1 4.794 * [backup-simplify]: Simplify -1 into -1 4.794 * [backup-simplify]: Simplify (- 0) into 0 4.795 * [backup-simplify]: Simplify (+ 1 0) into 1 4.795 * [backup-simplify]: Simplify (+ 1 0) into 1 4.795 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 4.795 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.795 * [backup-simplify]: Simplify (+ 0 0) into 0 4.795 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 4.795 * [taylor]: Taking taylor expansion of 0 in y 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (- 0) into 0 4.796 * [backup-simplify]: Simplify (+ 0 0) into 0 4.796 * [backup-simplify]: Simplify (+ 0 0) into 0 4.796 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 4.797 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.797 * [backup-simplify]: Simplify (* 1 1) into 1 4.797 * [backup-simplify]: Simplify (+ 0 1) into 1 4.798 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 4.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.798 * [taylor]: Taking taylor expansion of 2 in y 4.798 * [backup-simplify]: Simplify 2 into 2 4.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.798 * [taylor]: Taking taylor expansion of y in y 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (* 1 1) into 1 4.798 * [backup-simplify]: Simplify (/ 1 1) into 1 4.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify (- 0) into 0 4.801 * [backup-simplify]: Simplify (+ 0 0) into 0 4.801 * [backup-simplify]: Simplify (+ 0 0) into 0 4.802 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 4.803 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.803 * [backup-simplify]: Simplify (+ 0 0) into 0 4.804 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 4.804 * [taylor]: Taking taylor expansion of 0 in y 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify -1 into -1 4.804 * [backup-simplify]: Simplify (* (/ (- (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (/ (+ (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 4.804 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 4.804 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.804 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y 4.804 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.804 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.804 * [taylor]: Taking taylor expansion of x in y 4.804 * [backup-simplify]: Simplify x into x 4.804 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.804 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.804 * [taylor]: Taking taylor expansion of y in y 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (/ 1 1) into 1 4.805 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.805 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.805 * [taylor]: Taking taylor expansion of x in y 4.805 * [backup-simplify]: Simplify x into x 4.805 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.805 * [taylor]: Taking taylor expansion of y in y 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (/ 1 1) into 1 4.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.805 * [taylor]: Taking taylor expansion of y in y 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 1 into 1 4.805 * [backup-simplify]: Simplify (* 1 1) into 1 4.806 * [backup-simplify]: Simplify (/ 1 1) into 1 4.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.806 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.806 * [taylor]: Taking taylor expansion of x in y 4.806 * [backup-simplify]: Simplify x into x 4.806 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.806 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.806 * [backup-simplify]: Simplify (+ 0 1) into 1 4.806 * [backup-simplify]: Simplify (- 1) into -1 4.807 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.807 * [backup-simplify]: Simplify (* 1 -1) into -1 4.807 * [backup-simplify]: Simplify (+ 1 0) into 1 4.808 * [backup-simplify]: Simplify (/ -1 1) into -1 4.808 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.808 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.808 * [taylor]: Taking taylor expansion of x in x 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 1 into 1 4.808 * [backup-simplify]: Simplify (/ 1 1) into 1 4.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.808 * [taylor]: Taking taylor expansion of y in x 4.808 * [backup-simplify]: Simplify y into y 4.808 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.808 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.808 * [taylor]: Taking taylor expansion of x in x 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 1 into 1 4.808 * [backup-simplify]: Simplify (/ 1 1) into 1 4.808 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.808 * [taylor]: Taking taylor expansion of y in x 4.808 * [backup-simplify]: Simplify y into y 4.808 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.809 * [taylor]: Taking taylor expansion of y in x 4.809 * [backup-simplify]: Simplify y into y 4.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.809 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.809 * [taylor]: Taking taylor expansion of x in x 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (* 1 1) into 1 4.809 * [backup-simplify]: Simplify (/ 1 1) into 1 4.810 * [backup-simplify]: Simplify (+ 1 0) into 1 4.810 * [backup-simplify]: Simplify (+ 1 0) into 1 4.810 * [backup-simplify]: Simplify (* 1 1) into 1 4.810 * [backup-simplify]: Simplify (+ 0 1) into 1 4.811 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.811 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x 4.811 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.811 * [taylor]: Taking taylor expansion of x in x 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.811 * [taylor]: Taking taylor expansion of y in x 4.811 * [backup-simplify]: Simplify y into y 4.811 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.811 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.811 * [taylor]: Taking taylor expansion of x in x 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [backup-simplify]: Simplify (/ 1 1) into 1 4.811 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.811 * [taylor]: Taking taylor expansion of y in x 4.811 * [backup-simplify]: Simplify y into y 4.811 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.811 * [taylor]: Taking taylor expansion of y in x 4.812 * [backup-simplify]: Simplify y into y 4.812 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.812 * [taylor]: Taking taylor expansion of x in x 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (* 1 1) into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.813 * [backup-simplify]: Simplify (+ 1 0) into 1 4.813 * [backup-simplify]: Simplify (+ 1 0) into 1 4.813 * [backup-simplify]: Simplify (* 1 1) into 1 4.813 * [backup-simplify]: Simplify (+ 0 1) into 1 4.813 * [backup-simplify]: Simplify (/ 1 1) into 1 4.814 * [taylor]: Taking taylor expansion of 1 in y 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.814 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.815 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.815 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0 4.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 4.816 * [taylor]: Taking taylor expansion of 0 in y 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.818 * [backup-simplify]: Simplify (- 0) into 0 4.818 * [backup-simplify]: Simplify (+ 0 0) into 0 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.819 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2))) 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.822 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 4.822 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.822 * [taylor]: Taking taylor expansion of 2 in y 4.822 * [backup-simplify]: Simplify 2 into 2 4.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.822 * [taylor]: Taking taylor expansion of y in y 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 1 into 1 4.823 * [backup-simplify]: Simplify (* 1 1) into 1 4.823 * [backup-simplify]: Simplify (/ 1 1) into 1 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.826 * [backup-simplify]: Simplify (- 0) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.827 * [backup-simplify]: Simplify (- 0) into 0 4.827 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.828 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 4.828 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 4.831 * [taylor]: Taking taylor expansion of 0 in y 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (* (/ (- (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (/ (+ (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.832 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 4.832 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.832 * [taylor]: Taking taylor expansion of -1 in y 4.832 * [backup-simplify]: Simplify -1 into -1 4.832 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.832 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y 4.832 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.832 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.832 * [taylor]: Taking taylor expansion of y in y 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (/ 1 1) into 1 4.832 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.832 * [taylor]: Taking taylor expansion of x in y 4.832 * [backup-simplify]: Simplify x into x 4.832 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.832 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 4.832 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.832 * [taylor]: Taking taylor expansion of x in y 4.832 * [backup-simplify]: Simplify x into x 4.832 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.832 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.832 * [taylor]: Taking taylor expansion of y in y 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.833 * [taylor]: Taking taylor expansion of y in y 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (* 1 1) into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.833 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.833 * [taylor]: Taking taylor expansion of x in y 4.833 * [backup-simplify]: Simplify x into x 4.833 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.833 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.834 * [backup-simplify]: Simplify (+ 1 0) into 1 4.834 * [backup-simplify]: Simplify (+ 0 1) into 1 4.834 * [backup-simplify]: Simplify (* 1 1) into 1 4.835 * [backup-simplify]: Simplify (+ 1 0) into 1 4.835 * [backup-simplify]: Simplify (/ 1 1) into 1 4.835 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.835 * [taylor]: Taking taylor expansion of -1 in x 4.835 * [backup-simplify]: Simplify -1 into -1 4.835 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.835 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 4.835 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.835 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.835 * [taylor]: Taking taylor expansion of y in x 4.835 * [backup-simplify]: Simplify y into y 4.835 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.835 * [taylor]: Taking taylor expansion of x in x 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 1 into 1 4.835 * [backup-simplify]: Simplify (/ 1 1) into 1 4.835 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.835 * [taylor]: Taking taylor expansion of x in x 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (/ 1 1) into 1 4.836 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.836 * [taylor]: Taking taylor expansion of y in x 4.836 * [backup-simplify]: Simplify y into y 4.836 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.836 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.836 * [taylor]: Taking taylor expansion of y in x 4.836 * [backup-simplify]: Simplify y into y 4.836 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.836 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.836 * [taylor]: Taking taylor expansion of x in x 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (* 1 1) into 1 4.837 * [backup-simplify]: Simplify (/ 1 1) into 1 4.837 * [backup-simplify]: Simplify (- 1) into -1 4.837 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.837 * [backup-simplify]: Simplify (+ 1 0) into 1 4.838 * [backup-simplify]: Simplify (* -1 1) into -1 4.838 * [backup-simplify]: Simplify (+ 0 1) into 1 4.838 * [backup-simplify]: Simplify (/ -1 1) into -1 4.838 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.838 * [taylor]: Taking taylor expansion of -1 in x 4.838 * [backup-simplify]: Simplify -1 into -1 4.838 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.838 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x 4.838 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.838 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.838 * [taylor]: Taking taylor expansion of y in x 4.838 * [backup-simplify]: Simplify y into y 4.838 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.838 * [taylor]: Taking taylor expansion of x in x 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 4.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.839 * [taylor]: Taking taylor expansion of x in x 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (/ 1 1) into 1 4.839 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.839 * [taylor]: Taking taylor expansion of y in x 4.839 * [backup-simplify]: Simplify y into y 4.839 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.839 * [taylor]: Taking taylor expansion of y in x 4.839 * [backup-simplify]: Simplify y into y 4.839 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.839 * [taylor]: Taking taylor expansion of x in x 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (* 1 1) into 1 4.840 * [backup-simplify]: Simplify (/ 1 1) into 1 4.840 * [backup-simplify]: Simplify (- 1) into -1 4.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.841 * [backup-simplify]: Simplify (+ 1 0) into 1 4.841 * [backup-simplify]: Simplify (* -1 1) into -1 4.841 * [backup-simplify]: Simplify (+ 0 1) into 1 4.841 * [backup-simplify]: Simplify (/ -1 1) into -1 4.842 * [backup-simplify]: Simplify (* -1 -1) into 1 4.842 * [taylor]: Taking taylor expansion of 1 in y 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- 0) into 0 4.843 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.843 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0 4.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.845 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.845 * [taylor]: Taking taylor expansion of 0 in y 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.847 * [backup-simplify]: Simplify (- 0) into 0 4.847 * [backup-simplify]: Simplify (+ 0 0) into 0 4.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 4.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.849 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.850 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 4.851 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 4.851 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.851 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.851 * [taylor]: Taking taylor expansion of 2 in y 4.851 * [backup-simplify]: Simplify 2 into 2 4.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.851 * [taylor]: Taking taylor expansion of y in y 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.852 * [backup-simplify]: Simplify (* 1 1) into 1 4.852 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.862 * [backup-simplify]: Simplify (- 0) into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (- 0) into 0 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.868 * [backup-simplify]: Simplify (+ 0 0) into 0 4.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 4.870 * [taylor]: Taking taylor expansion of 0 in y 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.870 * [backup-simplify]: Simplify (/ (- x y) (sqrt (+ (* x x) (* y y)))) into (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) (- x y)) 4.870 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) (- x y)) in (x y) around 0 4.870 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) (- x y)) in y 4.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y 4.870 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y 4.870 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.870 * [taylor]: Taking taylor expansion of y in y 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.870 * [taylor]: Taking taylor expansion of x in y 4.870 * [backup-simplify]: Simplify x into x 4.870 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.871 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.871 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.871 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 4.871 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.871 * [backup-simplify]: Simplify (+ 0 0) into 0 4.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 4.871 * [taylor]: Taking taylor expansion of (- x y) in y 4.871 * [taylor]: Taking taylor expansion of x in y 4.871 * [backup-simplify]: Simplify x into x 4.871 * [taylor]: Taking taylor expansion of y in y 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) (- x y)) in x 4.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in x 4.871 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in x 4.871 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.872 * [taylor]: Taking taylor expansion of y in x 4.872 * [backup-simplify]: Simplify y into y 4.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.872 * [taylor]: Taking taylor expansion of x in x 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.872 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.872 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.872 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y) 4.872 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.872 * [backup-simplify]: Simplify (+ 0 0) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0 4.873 * [taylor]: Taking taylor expansion of (- x y) in x 4.873 * [taylor]: Taking taylor expansion of x in x 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 1 into 1 4.873 * [taylor]: Taking taylor expansion of y in x 4.873 * [backup-simplify]: Simplify y into y 4.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) (- x y)) in x 4.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in x 4.873 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in x 4.873 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.873 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.873 * [taylor]: Taking taylor expansion of y in x 4.873 * [backup-simplify]: Simplify y into y 4.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.873 * [taylor]: Taking taylor expansion of x in x 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 1 into 1 4.873 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.873 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.873 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.873 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y) 4.873 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0 4.874 * [taylor]: Taking taylor expansion of (- x y) in x 4.874 * [taylor]: Taking taylor expansion of x in x 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 1 into 1 4.874 * [taylor]: Taking taylor expansion of y in x 4.874 * [backup-simplify]: Simplify y into y 4.874 * [backup-simplify]: Simplify (- y) into (- y) 4.874 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 4.874 * [backup-simplify]: Simplify (* (/ 1 y) (- y)) into -1 4.874 * [taylor]: Taking taylor expansion of -1 in y 4.874 * [backup-simplify]: Simplify -1 into -1 4.874 * [backup-simplify]: Simplify -1 into -1 4.874 * [backup-simplify]: Simplify (- 0) into 0 4.875 * [backup-simplify]: Simplify (+ 1 0) into 1 4.875 * [backup-simplify]: Simplify (+ (* (/ 1 y) 1) (* 0 (- y))) into (/ 1 y) 4.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.875 * [taylor]: Taking taylor expansion of y in y 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [backup-simplify]: Simplify (/ 1 1) into 1 4.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify (- 0) into 0 4.876 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.876 * [backup-simplify]: Simplify (* 1 1) into 1 4.877 * [backup-simplify]: Simplify (+ 0 1) into 1 4.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 4.878 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+)) (* 2 (/ 1 y))) into (/ -1/2 (pow y 3)) 4.878 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 1) (* (/ -1/2 (pow y 3)) (- y)))) into (* 1/2 (/ 1 (pow y 2))) 4.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 4.878 * [taylor]: Taking taylor expansion of 1/2 in y 4.878 * [backup-simplify]: Simplify 1/2 into 1/2 4.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.878 * [taylor]: Taking taylor expansion of y in y 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (* 1 1) into 1 4.879 * [backup-simplify]: Simplify (/ 1 1) into 1 4.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (- 0) into 0 4.882 * [backup-simplify]: Simplify (+ 0 0) into 0 4.883 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.883 * [backup-simplify]: Simplify (+ 0 0) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 4))) (/ 0 (pow y 2))))) into 0 4.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 3)))))) (* 2 (/ 1 y))) into 0 4.884 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y 3)) 1) (* 0 (- y))))) into (- (* 1/2 (/ 1 (pow y 3)))) 4.884 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 4.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 4.884 * [taylor]: Taking taylor expansion of 1/2 in y 4.884 * [backup-simplify]: Simplify 1/2 into 1/2 4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.884 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.884 * [taylor]: Taking taylor expansion of y in y 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (- 0) into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify -1 into -1 4.891 * [backup-simplify]: Simplify (/ (- (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 y))) 4.891 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 4.891 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 y))) in y 4.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.891 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.891 * [taylor]: Taking taylor expansion of y in y 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (* 1 1) into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.891 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.891 * [taylor]: Taking taylor expansion of x in y 4.891 * [backup-simplify]: Simplify x into x 4.892 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.892 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.892 * [backup-simplify]: Simplify (+ 1 0) into 1 4.892 * [backup-simplify]: Simplify (/ 1 1) into 1 4.892 * [backup-simplify]: Simplify (sqrt 1) into 1 4.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.893 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.895 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 4.895 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.895 * [taylor]: Taking taylor expansion of x in y 4.895 * [backup-simplify]: Simplify x into x 4.895 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.895 * [taylor]: Taking taylor expansion of y in y 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 y))) in x 4.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.896 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.896 * [taylor]: Taking taylor expansion of y in x 4.896 * [backup-simplify]: Simplify y into y 4.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.896 * [taylor]: Taking taylor expansion of x in x 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (* 1 1) into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [backup-simplify]: Simplify (+ 0 1) into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [backup-simplify]: Simplify (sqrt 1) into 1 4.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.902 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.902 * [taylor]: Taking taylor expansion of x in x 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.902 * [taylor]: Taking taylor expansion of y in x 4.902 * [backup-simplify]: Simplify y into y 4.902 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.902 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (- (/ 1 x) (/ 1 y))) in x 4.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.902 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.903 * [taylor]: Taking taylor expansion of y in x 4.903 * [backup-simplify]: Simplify y into y 4.903 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.903 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.903 * [taylor]: Taking taylor expansion of x in x 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [backup-simplify]: Simplify (* 1 1) into 1 4.904 * [backup-simplify]: Simplify (/ 1 1) into 1 4.904 * [backup-simplify]: Simplify (+ 0 1) into 1 4.905 * [backup-simplify]: Simplify (/ 1 1) into 1 4.905 * [backup-simplify]: Simplify (sqrt 1) into 1 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (+ 0 0) into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.908 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 4.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.908 * [taylor]: Taking taylor expansion of x in x 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.909 * [taylor]: Taking taylor expansion of y in x 4.909 * [backup-simplify]: Simplify y into y 4.909 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.909 * [backup-simplify]: Simplify (+ 1 0) into 1 4.909 * [backup-simplify]: Simplify (* 1 1) into 1 4.909 * [taylor]: Taking taylor expansion of 1 in y 4.909 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.910 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.911 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* 0 1)) into (- (/ 1 y)) 4.911 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.911 * [taylor]: Taking taylor expansion of y in y 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.912 * [backup-simplify]: Simplify (- 0) into 0 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.914 * [backup-simplify]: Simplify (- 0) into 0 4.914 * [backup-simplify]: Simplify (+ 0 0) into 0 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.918 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2)) 4.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 y))) (* (/ -1/2 (pow y 2)) 1))) into (- (* 1/2 (/ 1 (pow y 2)))) 4.919 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 4.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 4.919 * [taylor]: Taking taylor expansion of 1/2 in y 4.919 * [backup-simplify]: Simplify 1/2 into 1/2 4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.919 * [taylor]: Taking taylor expansion of y in y 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 1 into 1 4.919 * [backup-simplify]: Simplify (* 1 1) into 1 4.920 * [backup-simplify]: Simplify (/ 1 1) into 1 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.924 * [backup-simplify]: Simplify (- 0) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (- 0) into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.927 * [backup-simplify]: Simplify (- 0) into 0 4.927 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify (+ 0 0) into 0 4.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y 2)) (- (/ 1 y))) (* 0 1)))) into (* 1/2 (/ 1 (pow y 3))) 4.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 4.933 * [taylor]: Taking taylor expansion of 1/2 in y 4.933 * [backup-simplify]: Simplify 1/2 into 1/2 4.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.933 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.933 * [taylor]: Taking taylor expansion of y in y 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.935 * [backup-simplify]: Simplify (/ 1 1) into 1 4.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (* (- (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 4.941 * [approximate]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 4.941 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.941 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 4.941 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.941 * [taylor]: Taking taylor expansion of y in y 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.942 * [taylor]: Taking taylor expansion of x in y 4.942 * [backup-simplify]: Simplify x into x 4.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.942 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.942 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.942 * [taylor]: Taking taylor expansion of y in y 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (* 1 1) into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.942 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.942 * [taylor]: Taking taylor expansion of x in y 4.942 * [backup-simplify]: Simplify x into x 4.943 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.943 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.943 * [backup-simplify]: Simplify (+ 1 0) into 1 4.943 * [backup-simplify]: Simplify (/ 1 1) into 1 4.943 * [backup-simplify]: Simplify (sqrt 1) into 1 4.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.945 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.945 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.945 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.945 * [taylor]: Taking taylor expansion of y in x 4.945 * [backup-simplify]: Simplify y into y 4.945 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.946 * [taylor]: Taking taylor expansion of x in x 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (/ 1 1) into 1 4.946 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.946 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.946 * [taylor]: Taking taylor expansion of y in x 4.946 * [backup-simplify]: Simplify y into y 4.946 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.946 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.946 * [taylor]: Taking taylor expansion of x in x 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (* 1 1) into 1 4.947 * [backup-simplify]: Simplify (/ 1 1) into 1 4.947 * [backup-simplify]: Simplify (+ 0 1) into 1 4.947 * [backup-simplify]: Simplify (/ 1 1) into 1 4.947 * [backup-simplify]: Simplify (sqrt 1) into 1 4.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (+ 0 0) into 0 4.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.950 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.950 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 4.950 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.950 * [taylor]: Taking taylor expansion of y in x 4.950 * [backup-simplify]: Simplify y into y 4.950 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.950 * [taylor]: Taking taylor expansion of x in x 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.950 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.950 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.951 * [taylor]: Taking taylor expansion of y in x 4.951 * [backup-simplify]: Simplify y into y 4.951 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.951 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.951 * [taylor]: Taking taylor expansion of x in x 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (* 1 1) into 1 4.951 * [backup-simplify]: Simplify (/ 1 1) into 1 4.952 * [backup-simplify]: Simplify (+ 0 1) into 1 4.952 * [backup-simplify]: Simplify (/ 1 1) into 1 4.952 * [backup-simplify]: Simplify (sqrt 1) into 1 4.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.953 * [backup-simplify]: Simplify (+ 0 0) into 0 4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.955 * [backup-simplify]: Simplify (- 1) into -1 4.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.955 * [backup-simplify]: Simplify (* -1 1) into -1 4.955 * [taylor]: Taking taylor expansion of -1 in y 4.955 * [backup-simplify]: Simplify -1 into -1 4.955 * [backup-simplify]: Simplify -1 into -1 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (- 0) into 0 4.956 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.957 * [backup-simplify]: Simplify (+ (* -1 0) (* (/ 1 y) 1)) into (/ 1 y) 4.957 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.957 * [taylor]: Taking taylor expansion of y in y 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.957 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify 0 into 0 4.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.961 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2)) 4.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (- 0) into 0 4.962 * [backup-simplify]: Simplify (+ 0 0) into 0 4.963 * [backup-simplify]: Simplify (+ (* -1 (/ -1/2 (pow y 2))) (+ (* (/ 1 y) 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2))) 4.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 4.963 * [taylor]: Taking taylor expansion of 1/2 in y 4.963 * [backup-simplify]: Simplify 1/2 into 1/2 4.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.963 * [taylor]: Taking taylor expansion of y in y 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.963 * [backup-simplify]: Simplify (* 1 1) into 1 4.963 * [backup-simplify]: Simplify (/ 1 1) into 1 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.966 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.974 * [backup-simplify]: Simplify (+ 0 0) into 0 4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0 4.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.979 * [backup-simplify]: Simplify (- 0) into 0 4.979 * [backup-simplify]: Simplify (+ 0 0) into 0 4.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ -1/2 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (- (* 1/2 (/ 1 (pow y 3)))) 4.981 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 4.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 4.981 * [taylor]: Taking taylor expansion of 1/2 in y 4.981 * [backup-simplify]: Simplify 1/2 into 1/2 4.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.981 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.981 * [taylor]: Taking taylor expansion of y in y 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 1 into 1 4.982 * [backup-simplify]: Simplify (* 1 1) into 1 4.982 * [backup-simplify]: Simplify (* 1 1) into 1 4.982 * [backup-simplify]: Simplify (/ 1 1) into 1 4.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- 0) into 0 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify -1 into -1 4.993 * * * [progress]: simplifying candidates 4.998 * [simplify]: Simplifying: (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)))) (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)))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (+ (- (log (- x y)) (log (sqrt (+ (* x x) (* y y))))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y)))))) (+ (- (log (- x y)) (log (sqrt (+ (* x x) (* y y))))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (+ (log (/ (- x y) (sqrt (+ (* x x) (* y y))))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y)))))) (+ (log (/ (- x y) (sqrt (+ (* x x) (* y y))))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (log (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (exp (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (* (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))) (* (* (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) 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* [simplify]: Extracting #3: cost 1909 inf + 26611 6.747 * * [simplify]: Extracting #4: cost 1204 inf + 238462 6.877 * * [simplify]: Extracting #5: cost 184 inf + 606951 7.010 * * [simplify]: Extracting #6: cost 22 inf + 668965 7.170 * * [simplify]: Extracting #7: cost 3 inf + 671923 7.335 * * [simplify]: Extracting #8: cost 0 inf + 672802 7.474 * [simplify]: Simplified to: (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))) (+ (* x x) (* y y))) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y))))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (* (+ x y) (- x y))) 1/2 (sqrt (sqrt (+ 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(* x x) (* y y))))) (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (/ (+ (sqrt x) (sqrt y)) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (- (sqrt x) (sqrt y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ (sqrt x) (sqrt y)) (fabs (cbrt (+ (* x x) (* y y))))) (/ (- (sqrt x) (sqrt y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (+ (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (/ 1 (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ 1 (fabs (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (- x y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (- x y) (fabs (cbrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (- x y) (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (- x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ (- x y) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y)))))) (/ (- x y) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (+ (* x x) (* (+ x y) y)) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (+ x y)) y x (- x) y x (- x) -1 1 1 -1 1 -1 7.500 * * * [progress]: adding candidates to table 8.310 * * [progress]: iteration 3 / 4 8.310 * * * [progress]: picking best candidate 8.320 * * * * [pick]: Picked # 8.320 * * * [progress]: localizing error 8.353 * * * [progress]: generating rewritten candidates 8.353 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 8.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 8.417 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.427 * * * [progress]: generating series expansions 8.427 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.428 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) into (/ (+ (pow y 2) (pow x 2)) (- (pow x 2) (pow y 2))) 8.428 * [approximate]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- (pow x 2) (pow y 2))) in (x y) around 0 8.428 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- (pow x 2) (pow y 2))) in y 8.428 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.428 * [taylor]: Taking taylor expansion of y in y 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.428 * [taylor]: Taking taylor expansion of x in y 8.428 * [backup-simplify]: Simplify x into x 8.428 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 8.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.428 * [taylor]: Taking taylor expansion of x in y 8.428 * [backup-simplify]: Simplify x into x 8.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.428 * [taylor]: Taking taylor expansion of y in y 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.428 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.428 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.428 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.428 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.428 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- (pow x 2) (pow y 2))) in x 8.428 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.428 * [taylor]: Taking taylor expansion of y in x 8.428 * [backup-simplify]: Simplify y into y 8.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.429 * [taylor]: Taking taylor expansion of x in x 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.429 * [taylor]: Taking taylor expansion of x in x 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.429 * [taylor]: Taking taylor expansion of y in x 8.429 * [backup-simplify]: Simplify y into y 8.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.429 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.429 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.429 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.429 * [backup-simplify]: Simplify (/ (pow y 2) (- (pow y 2))) into -1 8.429 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- (pow x 2) (pow y 2))) in x 8.429 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.429 * [taylor]: Taking taylor expansion of y in x 8.429 * [backup-simplify]: Simplify y into y 8.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.429 * [taylor]: Taking taylor expansion of x in x 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.429 * [taylor]: Taking taylor expansion of x in x 8.429 * [backup-simplify]: Simplify 0 into 0 8.429 * [backup-simplify]: Simplify 1 into 1 8.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.429 * [taylor]: Taking taylor expansion of y in x 8.429 * [backup-simplify]: Simplify y into y 8.429 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.430 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.430 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.430 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.430 * [backup-simplify]: Simplify (/ (pow y 2) (- (pow y 2))) into -1 8.430 * [taylor]: Taking taylor expansion of -1 in y 8.430 * [backup-simplify]: Simplify -1 into -1 8.430 * [backup-simplify]: Simplify -1 into -1 8.430 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.431 * [backup-simplify]: Simplify (- 0) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.431 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* -1 (/ 0 (- (pow y 2)))))) into 0 8.431 * [taylor]: Taking taylor expansion of 0 in y 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.432 * [backup-simplify]: Simplify (* 1 1) into 1 8.432 * [backup-simplify]: Simplify (+ 0 1) into 1 8.432 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.433 * [backup-simplify]: Simplify (- 0) into 0 8.433 * [backup-simplify]: Simplify (+ 1 0) into 1 8.434 * [backup-simplify]: Simplify (- (/ 1 (- (pow y 2))) (+ (* -1 (/ 1 (- (pow y 2)))) (* 0 (/ 0 (- (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2)))) 8.434 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 8.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.434 * [taylor]: Taking taylor expansion of 2 in y 8.434 * [backup-simplify]: Simplify 2 into 2 8.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.434 * [taylor]: Taking taylor expansion of y in y 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 1 into 1 8.434 * [backup-simplify]: Simplify (* 1 1) into 1 8.434 * [backup-simplify]: Simplify (/ 1 1) into 1 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.437 * [backup-simplify]: Simplify (- 0) into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.438 * [backup-simplify]: Simplify (+ 0 0) into 0 8.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.439 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.439 * [backup-simplify]: Simplify (- 0) into 0 8.439 * [backup-simplify]: Simplify (+ 0 0) into 0 8.440 * [backup-simplify]: Simplify (- (/ 0 (- (pow y 2))) (+ (* -1 (/ 0 (- (pow y 2)))) (* 0 (/ 1 (- (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (- (pow y 2)))))) into 0 8.440 * [taylor]: Taking taylor expansion of 0 in y 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify -1 into -1 8.440 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.440 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.440 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.440 * [taylor]: Taking taylor expansion of y in y 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (* 1 1) into 1 8.441 * [backup-simplify]: Simplify (/ 1 1) into 1 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.441 * [taylor]: Taking taylor expansion of x in y 8.441 * [backup-simplify]: Simplify x into x 8.441 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.441 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.441 * [taylor]: Taking taylor expansion of x in y 8.441 * [backup-simplify]: Simplify x into x 8.441 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.441 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.441 * [taylor]: Taking taylor expansion of y in y 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.442 * [backup-simplify]: Simplify (* 1 1) into 1 8.442 * [backup-simplify]: Simplify (/ 1 1) into 1 8.442 * [backup-simplify]: Simplify (+ 1 0) into 1 8.442 * [backup-simplify]: Simplify (- 1) into -1 8.443 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.443 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.443 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.443 * [taylor]: Taking taylor expansion of y in x 8.443 * [backup-simplify]: Simplify y into y 8.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.443 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.443 * [taylor]: Taking taylor expansion of x in x 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (* 1 1) into 1 8.444 * [backup-simplify]: Simplify (/ 1 1) into 1 8.444 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.444 * [taylor]: Taking taylor expansion of x in x 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (* 1 1) into 1 8.444 * [backup-simplify]: Simplify (/ 1 1) into 1 8.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.444 * [taylor]: Taking taylor expansion of y in x 8.444 * [backup-simplify]: Simplify y into y 8.444 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.445 * [backup-simplify]: Simplify (+ 0 1) into 1 8.445 * [backup-simplify]: Simplify (+ 1 0) into 1 8.445 * [backup-simplify]: Simplify (/ 1 1) into 1 8.445 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.445 * [taylor]: Taking taylor expansion of y in x 8.445 * [backup-simplify]: Simplify y into y 8.446 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.446 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.446 * [taylor]: Taking taylor expansion of x in x 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 1 into 1 8.446 * [backup-simplify]: Simplify (* 1 1) into 1 8.446 * [backup-simplify]: Simplify (/ 1 1) into 1 8.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.446 * [taylor]: Taking taylor expansion of x in x 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify 1 into 1 8.447 * [backup-simplify]: Simplify (* 1 1) into 1 8.447 * [backup-simplify]: Simplify (/ 1 1) into 1 8.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.447 * [taylor]: Taking taylor expansion of y in x 8.447 * [backup-simplify]: Simplify y into y 8.447 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.447 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.447 * [backup-simplify]: Simplify (+ 0 1) into 1 8.447 * [backup-simplify]: Simplify (+ 1 0) into 1 8.448 * [backup-simplify]: Simplify (/ 1 1) into 1 8.448 * [taylor]: Taking taylor expansion of 1 in y 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [backup-simplify]: Simplify 1 into 1 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.451 * [backup-simplify]: Simplify (+ 0 0) into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.453 * [backup-simplify]: Simplify (+ 0 0) into 0 8.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.453 * [taylor]: Taking taylor expansion of 0 in y 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.454 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.455 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.456 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.456 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 8.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.456 * [taylor]: Taking taylor expansion of 2 in y 8.456 * [backup-simplify]: Simplify 2 into 2 8.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.456 * [taylor]: Taking taylor expansion of y in y 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (* 1 1) into 1 8.457 * [backup-simplify]: Simplify (/ 1 1) into 1 8.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (+ 0 0) into 0 8.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.462 * [backup-simplify]: Simplify (- 0) into 0 8.463 * [backup-simplify]: Simplify (+ 0 0) into 0 8.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 8.464 * [taylor]: Taking taylor expansion of 0 in y 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 1 into 1 8.464 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 8.464 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 8.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 8.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.464 * [taylor]: Taking taylor expansion of y in y 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 1 into 1 8.465 * [backup-simplify]: Simplify (* 1 1) into 1 8.465 * [backup-simplify]: Simplify (/ 1 1) into 1 8.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.465 * [taylor]: Taking taylor expansion of x in y 8.465 * [backup-simplify]: Simplify x into x 8.465 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.465 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.465 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.465 * [taylor]: Taking taylor expansion of x in y 8.465 * [backup-simplify]: Simplify x into x 8.465 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.465 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.465 * [taylor]: Taking taylor expansion of y in y 8.465 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify 1 into 1 8.466 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (/ 1 1) into 1 8.466 * [backup-simplify]: Simplify (+ 1 0) into 1 8.467 * [backup-simplify]: Simplify (- 1) into -1 8.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.467 * [backup-simplify]: Simplify (/ 1 -1) into -1 8.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.467 * [taylor]: Taking taylor expansion of y in x 8.467 * [backup-simplify]: Simplify y into y 8.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.467 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.467 * [taylor]: Taking taylor expansion of x in x 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (* 1 1) into 1 8.468 * [backup-simplify]: Simplify (/ 1 1) into 1 8.468 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.468 * [taylor]: Taking taylor expansion of x in x 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (* 1 1) into 1 8.469 * [backup-simplify]: Simplify (/ 1 1) into 1 8.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.469 * [taylor]: Taking taylor expansion of y in x 8.469 * [backup-simplify]: Simplify y into y 8.469 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.469 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.469 * [backup-simplify]: Simplify (+ 0 1) into 1 8.469 * [backup-simplify]: Simplify (+ 1 0) into 1 8.470 * [backup-simplify]: Simplify (/ 1 1) into 1 8.470 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 8.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.470 * [taylor]: Taking taylor expansion of y in x 8.470 * [backup-simplify]: Simplify y into y 8.470 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.470 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.470 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.470 * [taylor]: Taking taylor expansion of x in x 8.470 * [backup-simplify]: Simplify 0 into 0 8.470 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.471 * [backup-simplify]: Simplify (/ 1 1) into 1 8.471 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.471 * [taylor]: Taking taylor expansion of x in x 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (/ 1 1) into 1 8.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.472 * [taylor]: Taking taylor expansion of y in x 8.472 * [backup-simplify]: Simplify y into y 8.472 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.472 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.473 * [backup-simplify]: Simplify (+ 0 1) into 1 8.473 * [backup-simplify]: Simplify (+ 1 0) into 1 8.473 * [backup-simplify]: Simplify (/ 1 1) into 1 8.473 * [taylor]: Taking taylor expansion of 1 in y 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.475 * [backup-simplify]: Simplify (+ 0 0) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.477 * [backup-simplify]: Simplify (+ 0 0) into 0 8.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.478 * [taylor]: Taking taylor expansion of 0 in y 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.480 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.482 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.482 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.483 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 8.483 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.483 * [taylor]: Taking taylor expansion of 2 in y 8.483 * [backup-simplify]: Simplify 2 into 2 8.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.484 * [taylor]: Taking taylor expansion of y in y 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [backup-simplify]: Simplify (* 1 1) into 1 8.484 * [backup-simplify]: Simplify (/ 1 1) into 1 8.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.490 * [backup-simplify]: Simplify (+ 0 0) into 0 8.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.492 * [backup-simplify]: Simplify (- 0) into 0 8.492 * [backup-simplify]: Simplify (+ 0 0) into 0 8.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 8.493 * [taylor]: Taking taylor expansion of 0 in y 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.494 * * * * [progress]: [ 2 / 4 ] generating series at (2) 8.494 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) into (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) 8.494 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in (x y) around 0 8.494 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in y 8.494 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 8.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.494 * [taylor]: Taking taylor expansion of x in y 8.494 * [backup-simplify]: Simplify x into x 8.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.494 * [taylor]: Taking taylor expansion of y in y 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify 1 into 1 8.494 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.494 * [taylor]: Taking taylor expansion of y in y 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify 1 into 1 8.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.494 * [taylor]: Taking taylor expansion of x in y 8.494 * [backup-simplify]: Simplify x into x 8.494 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.494 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.494 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.494 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 8.494 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 8.494 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in x 8.494 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.494 * [taylor]: Taking taylor expansion of x in x 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.495 * [taylor]: Taking taylor expansion of y in x 8.495 * [backup-simplify]: Simplify y into y 8.495 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.495 * [taylor]: Taking taylor expansion of y in x 8.495 * [backup-simplify]: Simplify y into y 8.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.495 * [taylor]: Taking taylor expansion of x in x 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.495 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.495 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.495 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.495 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.495 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 8.495 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in x 8.495 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.495 * [taylor]: Taking taylor expansion of x in x 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.495 * [taylor]: Taking taylor expansion of y in x 8.495 * [backup-simplify]: Simplify y into y 8.495 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.495 * [taylor]: Taking taylor expansion of y in x 8.495 * [backup-simplify]: Simplify y into y 8.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.495 * [taylor]: Taking taylor expansion of x in x 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.496 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.496 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.496 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.496 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.496 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 8.496 * [taylor]: Taking taylor expansion of -1 in y 8.496 * [backup-simplify]: Simplify -1 into -1 8.496 * [backup-simplify]: Simplify -1 into -1 8.496 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.496 * [backup-simplify]: Simplify (- 0) into 0 8.497 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.497 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 8.497 * [taylor]: Taking taylor expansion of 0 in y 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify (* 1 1) into 1 8.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.498 * [backup-simplify]: Simplify (- 0) into 0 8.498 * [backup-simplify]: Simplify (+ 1 0) into 1 8.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.499 * [backup-simplify]: Simplify (* 1 1) into 1 8.499 * [backup-simplify]: Simplify (+ 0 1) into 1 8.499 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 8.499 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.499 * [taylor]: Taking taylor expansion of 2 in y 8.499 * [backup-simplify]: Simplify 2 into 2 8.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.499 * [taylor]: Taking taylor expansion of y in y 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.500 * [backup-simplify]: Simplify (* 1 1) into 1 8.500 * [backup-simplify]: Simplify (/ 1 1) into 1 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.502 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 0 into 0 8.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.503 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.504 * [backup-simplify]: Simplify (- 0) into 0 8.504 * [backup-simplify]: Simplify (+ 0 0) into 0 8.504 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.505 * [backup-simplify]: Simplify (+ 0 0) into 0 8.505 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 8.505 * [taylor]: Taking taylor expansion of 0 in y 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify -1 into -1 8.506 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 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 y 2)) (/ 1 (pow x 2)))) 8.506 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 8.506 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.506 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.506 * [taylor]: Taking taylor expansion of x in y 8.506 * [backup-simplify]: Simplify x into x 8.506 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.506 * [taylor]: Taking taylor expansion of y in y 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [backup-simplify]: Simplify (* 1 1) into 1 8.507 * [backup-simplify]: Simplify (/ 1 1) into 1 8.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.507 * [taylor]: Taking taylor expansion of y in y 8.507 * [backup-simplify]: Simplify 0 into 0 8.507 * [backup-simplify]: Simplify 1 into 1 8.507 * [backup-simplify]: Simplify (* 1 1) into 1 8.507 * [backup-simplify]: Simplify (/ 1 1) into 1 8.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.507 * [taylor]: Taking taylor expansion of x in y 8.507 * [backup-simplify]: Simplify x into x 8.507 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.507 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.508 * [backup-simplify]: Simplify (- 1) into -1 8.508 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.508 * [backup-simplify]: Simplify (+ 1 0) into 1 8.508 * [backup-simplify]: Simplify (/ -1 1) into -1 8.508 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.508 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.508 * [taylor]: Taking taylor expansion of x in x 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (* 1 1) into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.509 * [taylor]: Taking taylor expansion of y in x 8.509 * [backup-simplify]: Simplify y into y 8.509 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.509 * [taylor]: Taking taylor expansion of y in x 8.509 * [backup-simplify]: Simplify y into y 8.509 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.509 * [taylor]: Taking taylor expansion of x in x 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (* 1 1) into 1 8.510 * [backup-simplify]: Simplify (/ 1 1) into 1 8.510 * [backup-simplify]: Simplify (+ 1 0) into 1 8.510 * [backup-simplify]: Simplify (+ 0 1) into 1 8.511 * [backup-simplify]: Simplify (/ 1 1) into 1 8.511 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.511 * [taylor]: Taking taylor expansion of x in x 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [backup-simplify]: Simplify (* 1 1) into 1 8.511 * [backup-simplify]: Simplify (/ 1 1) into 1 8.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.511 * [taylor]: Taking taylor expansion of y in x 8.511 * [backup-simplify]: Simplify y into y 8.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.512 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.512 * [taylor]: Taking taylor expansion of y in x 8.512 * [backup-simplify]: Simplify y into y 8.512 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.512 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.512 * [taylor]: Taking taylor expansion of x in x 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [backup-simplify]: Simplify (* 1 1) into 1 8.512 * [backup-simplify]: Simplify (/ 1 1) into 1 8.512 * [backup-simplify]: Simplify (+ 1 0) into 1 8.513 * [backup-simplify]: Simplify (+ 0 1) into 1 8.513 * [backup-simplify]: Simplify (/ 1 1) into 1 8.513 * [taylor]: Taking taylor expansion of 1 in y 8.513 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify 1 into 1 8.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.514 * [backup-simplify]: Simplify (+ 0 0) into 0 8.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (+ 0 0) into 0 8.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.516 * [taylor]: Taking taylor expansion of 0 in y 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.518 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.520 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.521 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 8.521 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 8.521 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.521 * [taylor]: Taking taylor expansion of 2 in y 8.521 * [backup-simplify]: Simplify 2 into 2 8.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.521 * [taylor]: Taking taylor expansion of y in y 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 1 into 1 8.522 * [backup-simplify]: Simplify (* 1 1) into 1 8.522 * [backup-simplify]: Simplify (/ 1 1) into 1 8.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.526 * [backup-simplify]: Simplify (- 0) into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.528 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.529 * [backup-simplify]: Simplify (- 0) into 0 8.529 * [backup-simplify]: Simplify (+ 0 0) into 0 8.530 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.532 * [backup-simplify]: Simplify (+ 0 0) into 0 8.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 8.534 * [taylor]: Taking taylor expansion of 0 in y 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify 1 into 1 8.534 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 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 y 2)) (/ 1 (pow x 2)))) 8.534 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 8.534 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 8.534 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.534 * [taylor]: Taking taylor expansion of x in y 8.535 * [backup-simplify]: Simplify x into x 8.535 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.535 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.535 * [taylor]: Taking taylor expansion of y in y 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [backup-simplify]: Simplify (* 1 1) into 1 8.536 * [backup-simplify]: Simplify (/ 1 1) into 1 8.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.536 * [taylor]: Taking taylor expansion of y in y 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify 1 into 1 8.536 * [backup-simplify]: Simplify (* 1 1) into 1 8.536 * [backup-simplify]: Simplify (/ 1 1) into 1 8.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.537 * [taylor]: Taking taylor expansion of x in y 8.537 * [backup-simplify]: Simplify x into x 8.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.537 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.537 * [backup-simplify]: Simplify (- 1) into -1 8.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.538 * [backup-simplify]: Simplify (+ 1 0) into 1 8.538 * [backup-simplify]: Simplify (/ -1 1) into -1 8.538 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.539 * [taylor]: Taking taylor expansion of x in x 8.539 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify 1 into 1 8.539 * [backup-simplify]: Simplify (* 1 1) into 1 8.539 * [backup-simplify]: Simplify (/ 1 1) into 1 8.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.539 * [taylor]: Taking taylor expansion of y in x 8.539 * [backup-simplify]: Simplify y into y 8.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.540 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.540 * [taylor]: Taking taylor expansion of y in x 8.540 * [backup-simplify]: Simplify y into y 8.540 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.540 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.540 * [taylor]: Taking taylor expansion of x in x 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (* 1 1) into 1 8.541 * [backup-simplify]: Simplify (/ 1 1) into 1 8.541 * [backup-simplify]: Simplify (+ 1 0) into 1 8.541 * [backup-simplify]: Simplify (+ 0 1) into 1 8.541 * [backup-simplify]: Simplify (/ 1 1) into 1 8.541 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 8.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.542 * [taylor]: Taking taylor expansion of x in x 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 1 into 1 8.542 * [backup-simplify]: Simplify (* 1 1) into 1 8.542 * [backup-simplify]: Simplify (/ 1 1) into 1 8.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.542 * [taylor]: Taking taylor expansion of y in x 8.542 * [backup-simplify]: Simplify y into y 8.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.542 * [taylor]: Taking taylor expansion of y in x 8.542 * [backup-simplify]: Simplify y into y 8.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.543 * [taylor]: Taking taylor expansion of x in x 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 1 into 1 8.543 * [backup-simplify]: Simplify (* 1 1) into 1 8.543 * [backup-simplify]: Simplify (/ 1 1) into 1 8.543 * [backup-simplify]: Simplify (+ 1 0) into 1 8.544 * [backup-simplify]: Simplify (+ 0 1) into 1 8.544 * [backup-simplify]: Simplify (/ 1 1) into 1 8.544 * [taylor]: Taking taylor expansion of 1 in y 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify 1 into 1 8.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.545 * [backup-simplify]: Simplify (+ 0 0) into 0 8.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.546 * [backup-simplify]: Simplify (+ 0 0) into 0 8.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 8.546 * [taylor]: Taking taylor expansion of 0 in y 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.548 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.550 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 8.550 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 8.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.550 * [taylor]: Taking taylor expansion of 2 in y 8.550 * [backup-simplify]: Simplify 2 into 2 8.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.550 * [taylor]: Taking taylor expansion of y in y 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.550 * [backup-simplify]: Simplify (* 1 1) into 1 8.550 * [backup-simplify]: Simplify (/ 1 1) into 1 8.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.553 * [backup-simplify]: Simplify (- 0) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.555 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify (+ 0 0) into 0 8.555 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 8.559 * [taylor]: Taking taylor expansion of 0 in y 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 8.559 * [backup-simplify]: Simplify (- (* x x) (* y y)) into (- (pow x 2) (pow y 2)) 8.559 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 8.559 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 8.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.559 * [taylor]: Taking taylor expansion of x in y 8.559 * [backup-simplify]: Simplify x into x 8.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.559 * [taylor]: Taking taylor expansion of y in y 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.559 * [taylor]: Taking taylor expansion of x in x 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.559 * [taylor]: Taking taylor expansion of y in x 8.559 * [backup-simplify]: Simplify y into y 8.559 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 8.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.559 * [taylor]: Taking taylor expansion of x in x 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.560 * [taylor]: Taking taylor expansion of y in x 8.560 * [backup-simplify]: Simplify y into y 8.560 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.560 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 8.560 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 8.560 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 8.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.560 * [taylor]: Taking taylor expansion of y in y 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 1 into 1 8.560 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.560 * [backup-simplify]: Simplify (- 0) into 0 8.560 * [backup-simplify]: Simplify (+ 0 0) into 0 8.560 * [taylor]: Taking taylor expansion of 0 in y 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify (* 1 1) into 1 8.561 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.561 * [backup-simplify]: Simplify (- 0) into 0 8.562 * [backup-simplify]: Simplify (+ 1 0) into 1 8.562 * [taylor]: Taking taylor expansion of 1 in y 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify (* 1 1) into 1 8.563 * [backup-simplify]: Simplify (- 1) into -1 8.563 * [backup-simplify]: Simplify -1 into -1 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.564 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.564 * [backup-simplify]: Simplify (- 0) into 0 8.565 * [backup-simplify]: Simplify (+ 0 0) into 0 8.565 * [taylor]: Taking taylor expansion of 0 in y 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.566 * [backup-simplify]: Simplify (- 0) into 0 8.566 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.568 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.568 * [backup-simplify]: Simplify (- 0) into 0 8.569 * [backup-simplify]: Simplify (+ 0 0) into 0 8.569 * [taylor]: Taking taylor expansion of 0 in y 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 8.570 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.570 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.570 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.570 * [taylor]: Taking taylor expansion of x in y 8.570 * [backup-simplify]: Simplify x into x 8.570 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.570 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.570 * [taylor]: Taking taylor expansion of y in y 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.571 * [backup-simplify]: Simplify (* 1 1) into 1 8.571 * [backup-simplify]: Simplify (/ 1 1) into 1 8.571 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.571 * [taylor]: Taking taylor expansion of x in x 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 1 into 1 8.571 * [backup-simplify]: Simplify (* 1 1) into 1 8.572 * [backup-simplify]: Simplify (/ 1 1) into 1 8.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.572 * [taylor]: Taking taylor expansion of y in x 8.572 * [backup-simplify]: Simplify y into y 8.572 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.572 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.572 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.572 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.572 * [taylor]: Taking taylor expansion of x in x 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (* 1 1) into 1 8.573 * [backup-simplify]: Simplify (/ 1 1) into 1 8.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.573 * [taylor]: Taking taylor expansion of y in x 8.573 * [backup-simplify]: Simplify y into y 8.573 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.573 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.574 * [backup-simplify]: Simplify (+ 1 0) into 1 8.574 * [taylor]: Taking taylor expansion of 1 in y 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.576 * [backup-simplify]: Simplify (+ 0 0) into 0 8.576 * [taylor]: Taking taylor expansion of 0 in y 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.577 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.578 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.578 * [taylor]: Taking taylor expansion of y in y 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [backup-simplify]: Simplify (* 1 1) into 1 8.579 * [backup-simplify]: Simplify (/ 1 1) into 1 8.579 * [backup-simplify]: Simplify (- 1) into -1 8.579 * [backup-simplify]: Simplify -1 into -1 8.579 * [backup-simplify]: Simplify 1 into 1 8.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.582 * [backup-simplify]: Simplify (- 0) into 0 8.582 * [backup-simplify]: Simplify (+ 0 0) into 0 8.582 * [taylor]: Taking taylor expansion of 0 in y 8.582 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.584 * [backup-simplify]: Simplify (- 0) into 0 8.584 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.587 * [backup-simplify]: Simplify (- 0) into 0 8.587 * [backup-simplify]: Simplify (+ 0 0) into 0 8.587 * [taylor]: Taking taylor expansion of 0 in y 8.587 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (- 0) into 0 8.589 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify 0 into 0 8.589 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 8.590 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.590 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.590 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.590 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.590 * [taylor]: Taking taylor expansion of x in y 8.590 * [backup-simplify]: Simplify x into x 8.591 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.591 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.591 * [taylor]: Taking taylor expansion of y in y 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.591 * [backup-simplify]: Simplify (/ 1 1) into 1 8.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.591 * [taylor]: Taking taylor expansion of x in x 8.591 * [backup-simplify]: Simplify 0 into 0 8.591 * [backup-simplify]: Simplify 1 into 1 8.591 * [backup-simplify]: Simplify (* 1 1) into 1 8.592 * [backup-simplify]: Simplify (/ 1 1) into 1 8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.592 * [taylor]: Taking taylor expansion of y in x 8.592 * [backup-simplify]: Simplify y into y 8.592 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.592 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.592 * [taylor]: Taking taylor expansion of x in x 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [backup-simplify]: Simplify (* 1 1) into 1 8.593 * [backup-simplify]: Simplify (/ 1 1) into 1 8.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.593 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.593 * [taylor]: Taking taylor expansion of y in x 8.593 * [backup-simplify]: Simplify y into y 8.593 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.593 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.593 * [backup-simplify]: Simplify (+ 1 0) into 1 8.593 * [taylor]: Taking taylor expansion of 1 in y 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify (+ 0 0) into 0 8.594 * [taylor]: Taking taylor expansion of 0 in y 8.594 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.596 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 8.596 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 8.596 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 8.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.596 * [taylor]: Taking taylor expansion of y in y 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (* 1 1) into 1 8.596 * [backup-simplify]: Simplify (/ 1 1) into 1 8.597 * [backup-simplify]: Simplify (- 1) into -1 8.597 * [backup-simplify]: Simplify -1 into -1 8.597 * [backup-simplify]: Simplify 1 into 1 8.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.598 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.598 * [backup-simplify]: Simplify (- 0) into 0 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.599 * [taylor]: Taking taylor expansion of 0 in y 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (- 0) into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.602 * [backup-simplify]: Simplify (- 0) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.602 * [taylor]: Taking taylor expansion of 0 in y 8.602 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.603 * [backup-simplify]: Simplify (- 0) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 8.604 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.604 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 8.604 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 8.604 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 8.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.604 * [taylor]: Taking taylor expansion of y in y 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.604 * [taylor]: Taking taylor expansion of x in y 8.604 * [backup-simplify]: Simplify x into x 8.604 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.604 * [taylor]: Taking taylor expansion of y in x 8.604 * [backup-simplify]: Simplify y into y 8.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.604 * [taylor]: Taking taylor expansion of x in x 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 8.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.604 * [taylor]: Taking taylor expansion of y in x 8.604 * [backup-simplify]: Simplify y into y 8.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.604 * [taylor]: Taking taylor expansion of x in x 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.604 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 8.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.604 * [taylor]: Taking taylor expansion of y in y 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.605 * [backup-simplify]: Simplify (+ 0 0) into 0 8.605 * [taylor]: Taking taylor expansion of 0 in y 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.605 * [backup-simplify]: Simplify (* 1 1) into 1 8.605 * [backup-simplify]: Simplify (+ 0 1) into 1 8.606 * [taylor]: Taking taylor expansion of 1 in y 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify (* 1 1) into 1 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.607 * [backup-simplify]: Simplify (+ 0 0) into 0 8.607 * [taylor]: Taking taylor expansion of 0 in y 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.608 * [backup-simplify]: Simplify 0 into 0 8.608 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.609 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [taylor]: Taking taylor expansion of 0 in y 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 8.609 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 8.609 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 8.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.610 * [taylor]: Taking taylor expansion of y in y 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [backup-simplify]: Simplify (* 1 1) into 1 8.610 * [backup-simplify]: Simplify (/ 1 1) into 1 8.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.610 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.610 * [taylor]: Taking taylor expansion of x in y 8.610 * [backup-simplify]: Simplify x into x 8.610 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.610 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.610 * [taylor]: Taking taylor expansion of y in x 8.610 * [backup-simplify]: Simplify y into y 8.610 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.611 * [taylor]: Taking taylor expansion of x in x 8.611 * [backup-simplify]: Simplify 0 into 0 8.611 * [backup-simplify]: Simplify 1 into 1 8.611 * [backup-simplify]: Simplify (* 1 1) into 1 8.611 * [backup-simplify]: Simplify (/ 1 1) into 1 8.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.611 * [taylor]: Taking taylor expansion of y in x 8.611 * [backup-simplify]: Simplify y into y 8.611 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.611 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.612 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.612 * [taylor]: Taking taylor expansion of x in x 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [backup-simplify]: Simplify (* 1 1) into 1 8.612 * [backup-simplify]: Simplify (/ 1 1) into 1 8.613 * [backup-simplify]: Simplify (+ 0 1) into 1 8.613 * [taylor]: Taking taylor expansion of 1 in y 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.614 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [taylor]: Taking taylor expansion of 0 in y 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.616 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.616 * [taylor]: Taking taylor expansion of y in y 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (* 1 1) into 1 8.617 * [backup-simplify]: Simplify (/ 1 1) into 1 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.620 * [backup-simplify]: Simplify (+ 0 0) into 0 8.620 * [taylor]: Taking taylor expansion of 0 in y 8.620 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 0 into 0 8.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [taylor]: Taking taylor expansion of 0 in y 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 8.628 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 8.628 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 8.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 8.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.628 * [taylor]: Taking taylor expansion of y in y 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (* 1 1) into 1 8.629 * [backup-simplify]: Simplify (/ 1 1) into 1 8.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.629 * [taylor]: Taking taylor expansion of x in y 8.629 * [backup-simplify]: Simplify x into x 8.629 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.629 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.629 * [taylor]: Taking taylor expansion of y in x 8.629 * [backup-simplify]: Simplify y into y 8.629 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.629 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.629 * [taylor]: Taking taylor expansion of x in x 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (* 1 1) into 1 8.630 * [backup-simplify]: Simplify (/ 1 1) into 1 8.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.631 * [taylor]: Taking taylor expansion of y in x 8.631 * [backup-simplify]: Simplify y into y 8.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.631 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.631 * [taylor]: Taking taylor expansion of x in x 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (/ 1 1) into 1 8.632 * [backup-simplify]: Simplify (+ 0 1) into 1 8.632 * [taylor]: Taking taylor expansion of 1 in y 8.632 * [backup-simplify]: Simplify 1 into 1 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ 0 0) into 0 8.634 * [taylor]: Taking taylor expansion of 0 in y 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.635 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 8.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.635 * [taylor]: Taking taylor expansion of y in y 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify (* 1 1) into 1 8.635 * [backup-simplify]: Simplify (/ 1 1) into 1 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (+ 0 0) into 0 8.637 * [taylor]: Taking taylor expansion of 0 in y 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ 0 0) into 0 8.640 * [taylor]: Taking taylor expansion of 0 in y 8.640 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 8.642 * * * [progress]: simplifying candidates 8.644 * [simplify]: Simplifying: (- (log (+ (* x x) (* y y))) (log (- (* x x) (* y y)))) (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (exp (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))) (cbrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (* (* (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (sqrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (- (+ (* x x) (* y y))) (- (- (* x x) (* y y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- (* x x) (* y y)))) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1) (/ (cbrt (+ (* x x) (* y y))) (- (* x x) (* y y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- (* x x) (* y y)))) (/ (sqrt (+ (* x x) (* y y))) 1) (/ (sqrt (+ (* x x) (* y y))) (- (* x x) (* y y))) (/ (sqrt (+ (* x x) (* y y))) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y)) (/ 1 (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (/ (+ (* x x) (* y y)) (cbrt (- (* x x) (* y y)))) (/ 1 (sqrt (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (sqrt (- (* x x) (* y y)))) (/ 1 1) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) (/ 1 (+ x y)) (/ (+ (* x x) (* y y)) (- x y)) (/ 1 (- (* x x) (* y y))) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) (/ (+ (* x 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x)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (- x y) (+ x y)) -1 1 1 -1 1 1 (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 10.020 * * * [progress]: adding candidates to table 10.781 * * [progress]: iteration 4 / 4 10.781 * * * [progress]: picking best candidate 10.790 * * * * [pick]: Picked # 10.790 * * * [progress]: localizing error 10.790 * * * [progress]: generating rewritten candidates 10.790 * * * [progress]: generating series expansions 10.790 * * * [progress]: simplifying candidates 10.791 * [simplify]: Simplifying: 10.791 * * [simplify]: iteration 0: 0 enodes 10.791 * * [simplify]: iteration complete: 0 enodes 10.791 * * [simplify]: Extracting #0: cost 0 inf + 0 10.791 * [simplify]: Simplified to: 10.791 * * * [progress]: adding candidates to table 10.791 * [progress]: [Phase 3 of 3] Extracting. 10.791 * * [regime]: Finding splitpoints for: (# # # #) 10.792 * * * [regime-changes]: Trying 2 branch expressions: (y x) 10.792 * * * * [regimes]: Trying to branch on y from (# # # #) 10.850 * * * * [regimes]: Trying to branch on x from (# # # #) 10.888 * * * [regime]: Found split indices: #