16.170 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.052 * * * [progress]: [2/2] Setting up program.
0.058 * [progress]: [Phase 2 of 3] Improving.
0.058 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.059 * * [simplify]: iteration 0: 9 enodes
0.062 * * [simplify]: iteration 1: 22 enodes
0.068 * * [simplify]: iteration 2: 48 enodes
0.081 * * [simplify]: iteration 3: 103 enodes
0.096 * * [simplify]: iteration 4: 208 enodes
0.136 * * [simplify]: iteration 5: 403 enodes
0.252 * * [simplify]: iteration 6: 840 enodes
0.625 * * [simplify]: iteration 7: 3699 enodes
2.409 * * [simplify]: iteration complete: 5000 enodes
2.409 * * [simplify]: Extracting #0: cost 1 inf + 0
2.410 * * [simplify]: Extracting #1: cost 239 inf + 0
2.412 * * [simplify]: Extracting #2: cost 844 inf + 1
2.417 * * [simplify]: Extracting #3: cost 1424 inf + 617
2.428 * * [simplify]: Extracting #4: cost 754 inf + 50096
2.478 * * [simplify]: Extracting #5: cost 101 inf + 180290
2.537 * * [simplify]: Extracting #6: cost 1 inf + 211970
2.595 * * [simplify]: Extracting #7: cost 0 inf + 212372
2.651 * [simplify]: Simplified to:
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
2.657 * * [progress]: iteration 1 / 4
2.657 * * * [progress]: picking best candidate
2.670 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))>
2.670 * * * [progress]: localizing error
2.685 * * * [progress]: generating rewritten candidates
2.685 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
2.698 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
2.721 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
2.818 * * * [progress]: generating series expansions
2.819 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
2.819 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
2.819 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
2.819 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
2.819 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.819 * [taylor]: Taking taylor expansion of y in x
2.819 * [backup-simplify]: Simplify y into y
2.819 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.819 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.819 * [taylor]: Taking taylor expansion of y in x
2.819 * [backup-simplify]: Simplify y into y
2.819 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.819 * [taylor]: Taking taylor expansion of x in x
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 1 into 1
2.819 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.819 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.819 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.819 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
2.819 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
2.819 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.819 * [taylor]: Taking taylor expansion of y in y
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 1 into 1
2.819 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.819 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.819 * [taylor]: Taking taylor expansion of y in y
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 1 into 1
2.820 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.820 * [taylor]: Taking taylor expansion of x in y
2.820 * [backup-simplify]: Simplify x into x
2.820 * [backup-simplify]: Simplify (* 1 1) into 1
2.820 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.820 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.820 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.820 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
2.820 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.820 * [taylor]: Taking taylor expansion of y in y
2.820 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify 1 into 1
2.820 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.820 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.820 * [taylor]: Taking taylor expansion of y in y
2.820 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify 1 into 1
2.821 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.821 * [taylor]: Taking taylor expansion of x in y
2.821 * [backup-simplify]: Simplify x into x
2.821 * [backup-simplify]: Simplify (* 1 1) into 1
2.821 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.821 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.821 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.821 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.821 * [taylor]: Taking taylor expansion of x in x
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 1 into 1
2.822 * [backup-simplify]: Simplify (* 1 1) into 1
2.822 * [backup-simplify]: Simplify (/ 1 1) into 1
2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.824 * [backup-simplify]: Simplify 0 into 0
2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.824 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.824 * [backup-simplify]: Simplify (+ 0 0) into 0
2.825 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.825 * [taylor]: Taking taylor expansion of 0 in x
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.827 * [backup-simplify]: Simplify (* 1 1) into 1
2.827 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.827 * [backup-simplify]: Simplify (+ 1 0) into 1
2.827 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
2.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
2.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.828 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.828 * [taylor]: Taking taylor expansion of x in x
2.828 * [backup-simplify]: Simplify 0 into 0
2.828 * [backup-simplify]: Simplify 1 into 1
2.828 * [backup-simplify]: Simplify (* 1 1) into 1
2.828 * [backup-simplify]: Simplify (* 1 1) into 1
2.828 * [backup-simplify]: Simplify (/ 1 1) into 1
2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.836 * [backup-simplify]: Simplify (- 0) into 0
2.836 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.838 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
2.838 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.838 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.838 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.838 * [taylor]: Taking taylor expansion of y in x
2.838 * [backup-simplify]: Simplify y into y
2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.838 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.838 * [taylor]: Taking taylor expansion of y in x
2.838 * [backup-simplify]: Simplify y into y
2.838 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.838 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.838 * [taylor]: Taking taylor expansion of x in x
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 1 into 1
2.839 * [backup-simplify]: Simplify (* 1 1) into 1
2.839 * [backup-simplify]: Simplify (/ 1 1) into 1
2.839 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.839 * [backup-simplify]: Simplify (+ 0 1) into 1
2.839 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.839 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.839 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.839 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.839 * [taylor]: Taking taylor expansion of y in y
2.840 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify 1 into 1
2.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.840 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.840 * [taylor]: Taking taylor expansion of y in y
2.840 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify 1 into 1
2.840 * [backup-simplify]: Simplify (* 1 1) into 1
2.840 * [backup-simplify]: Simplify (/ 1 1) into 1
2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.840 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.840 * [taylor]: Taking taylor expansion of x in y
2.840 * [backup-simplify]: Simplify x into x
2.840 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.840 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.841 * [backup-simplify]: Simplify (* 1 1) into 1
2.841 * [backup-simplify]: Simplify (+ 1 0) into 1
2.841 * [backup-simplify]: Simplify (* 1 1) into 1
2.841 * [backup-simplify]: Simplify (/ 1 1) into 1
2.841 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.841 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.841 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.841 * [taylor]: Taking taylor expansion of y in y
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify 1 into 1
2.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.841 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.841 * [taylor]: Taking taylor expansion of y in y
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify 1 into 1
2.842 * [backup-simplify]: Simplify (* 1 1) into 1
2.842 * [backup-simplify]: Simplify (/ 1 1) into 1
2.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.842 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.842 * [taylor]: Taking taylor expansion of x in y
2.842 * [backup-simplify]: Simplify x into x
2.842 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.842 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.842 * [backup-simplify]: Simplify (* 1 1) into 1
2.843 * [backup-simplify]: Simplify (+ 1 0) into 1
2.843 * [backup-simplify]: Simplify (* 1 1) into 1
2.843 * [backup-simplify]: Simplify (/ 1 1) into 1
2.843 * [taylor]: Taking taylor expansion of 1 in x
2.843 * [backup-simplify]: Simplify 1 into 1
2.843 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (+ 0 0) into 0
2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.845 * [taylor]: Taking taylor expansion of 0 in x
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 0 into 0
2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.847 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.848 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.848 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.848 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.848 * [taylor]: Taking taylor expansion of x in x
2.848 * [backup-simplify]: Simplify 0 into 0
2.848 * [backup-simplify]: Simplify 1 into 1
2.849 * [backup-simplify]: Simplify (* 1 1) into 1
2.849 * [backup-simplify]: Simplify (/ 1 1) into 1
2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify (- 0) into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.854 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
2.854 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.854 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.854 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.854 * [taylor]: Taking taylor expansion of y in x
2.854 * [backup-simplify]: Simplify y into y
2.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.854 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.854 * [taylor]: Taking taylor expansion of y in x
2.854 * [backup-simplify]: Simplify y into y
2.854 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.854 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.854 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.854 * [taylor]: Taking taylor expansion of x in x
2.854 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify 1 into 1
2.854 * [backup-simplify]: Simplify (* 1 1) into 1
2.855 * [backup-simplify]: Simplify (/ 1 1) into 1
2.855 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.855 * [backup-simplify]: Simplify (+ 0 1) into 1
2.855 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.855 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.855 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.855 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.855 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.855 * [taylor]: Taking taylor expansion of y in y
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.855 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.855 * [taylor]: Taking taylor expansion of y in y
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (* 1 1) into 1
2.856 * [backup-simplify]: Simplify (/ 1 1) into 1
2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.856 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.856 * [taylor]: Taking taylor expansion of x in y
2.856 * [backup-simplify]: Simplify x into x
2.856 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.856 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.856 * [backup-simplify]: Simplify (* 1 1) into 1
2.856 * [backup-simplify]: Simplify (+ 1 0) into 1
2.857 * [backup-simplify]: Simplify (* 1 1) into 1
2.857 * [backup-simplify]: Simplify (/ 1 1) into 1
2.857 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.857 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.857 * [taylor]: Taking taylor expansion of y in y
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.857 * [taylor]: Taking taylor expansion of y in y
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [backup-simplify]: Simplify (* 1 1) into 1
2.857 * [backup-simplify]: Simplify (/ 1 1) into 1
2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.858 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.858 * [taylor]: Taking taylor expansion of x in y
2.858 * [backup-simplify]: Simplify x into x
2.858 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.858 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.858 * [backup-simplify]: Simplify (* 1 1) into 1
2.858 * [backup-simplify]: Simplify (+ 1 0) into 1
2.859 * [backup-simplify]: Simplify (* 1 1) into 1
2.859 * [backup-simplify]: Simplify (/ 1 1) into 1
2.859 * [taylor]: Taking taylor expansion of 1 in x
2.859 * [backup-simplify]: Simplify 1 into 1
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.860 * [backup-simplify]: Simplify (+ 0 0) into 0
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.861 * [taylor]: Taking taylor expansion of 0 in x
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify 0 into 0
2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.863 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.864 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
2.864 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
2.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.864 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.864 * [taylor]: Taking taylor expansion of x in x
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 1 into 1
2.864 * [backup-simplify]: Simplify (* 1 1) into 1
2.865 * [backup-simplify]: Simplify (/ 1 1) into 1
2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.869 * [backup-simplify]: Simplify (- 0) into 0
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
2.869 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
2.869 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
2.869 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
2.869 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.869 * [taylor]: Taking taylor expansion of x in y
2.869 * [backup-simplify]: Simplify x into x
2.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.869 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.869 * [taylor]: Taking taylor expansion of y in y
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.869 * [taylor]: Taking taylor expansion of x in y
2.869 * [backup-simplify]: Simplify x into x
2.869 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.869 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.870 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.870 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
2.870 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
2.870 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.870 * [taylor]: Taking taylor expansion of x in x
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 1 into 1
2.870 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.870 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.870 * [taylor]: Taking taylor expansion of y in x
2.870 * [backup-simplify]: Simplify y into y
2.870 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.870 * [taylor]: Taking taylor expansion of x in x
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 1 into 1
2.870 * [backup-simplify]: Simplify (* 1 1) into 1
2.870 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.870 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.870 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.870 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
2.870 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.870 * [taylor]: Taking taylor expansion of x in x
2.870 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify 1 into 1
2.870 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.871 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.871 * [taylor]: Taking taylor expansion of y in x
2.871 * [backup-simplify]: Simplify y into y
2.871 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.871 * [taylor]: Taking taylor expansion of x in x
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [backup-simplify]: Simplify (* 1 1) into 1
2.871 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.871 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.871 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.871 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.871 * [taylor]: Taking taylor expansion of y in y
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [backup-simplify]: Simplify (* 1 1) into 1
2.872 * [backup-simplify]: Simplify (/ 1 1) into 1
2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.874 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.875 * [backup-simplify]: Simplify (+ 0 0) into 0
2.875 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.875 * [taylor]: Taking taylor expansion of 0 in y
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.877 * [backup-simplify]: Simplify 0 into 0
2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.879 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.879 * [backup-simplify]: Simplify (* 1 1) into 1
2.879 * [backup-simplify]: Simplify (+ 0 1) into 1
2.880 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
2.880 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.880 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.880 * [taylor]: Taking taylor expansion of y in y
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.881 * [backup-simplify]: Simplify (* 1 1) into 1
2.881 * [backup-simplify]: Simplify (* 1 1) into 1
2.881 * [backup-simplify]: Simplify (/ 1 1) into 1
2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.893 * [backup-simplify]: Simplify (- 0) into 0
2.893 * [backup-simplify]: Simplify 0 into 0
2.893 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.895 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify 0 into 0
2.896 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.896 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
2.896 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.896 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.896 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.896 * [taylor]: Taking taylor expansion of x in y
2.896 * [backup-simplify]: Simplify x into x
2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.896 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.896 * [taylor]: Taking taylor expansion of y in y
2.896 * [backup-simplify]: Simplify 0 into 0
2.896 * [backup-simplify]: Simplify 1 into 1
2.896 * [backup-simplify]: Simplify (* 1 1) into 1
2.897 * [backup-simplify]: Simplify (/ 1 1) into 1
2.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.897 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.897 * [taylor]: Taking taylor expansion of x in y
2.897 * [backup-simplify]: Simplify x into x
2.897 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.897 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.897 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.898 * [backup-simplify]: Simplify (+ 1 0) into 1
2.898 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
2.898 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.898 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.898 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.898 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.898 * [taylor]: Taking taylor expansion of x in x
2.898 * [backup-simplify]: Simplify 0 into 0
2.898 * [backup-simplify]: Simplify 1 into 1
2.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.898 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.899 * [taylor]: Taking taylor expansion of y in x
2.899 * [backup-simplify]: Simplify y into y
2.899 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.899 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.899 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.899 * [taylor]: Taking taylor expansion of x in x
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 1 into 1
2.899 * [backup-simplify]: Simplify (* 1 1) into 1
2.900 * [backup-simplify]: Simplify (/ 1 1) into 1
2.900 * [backup-simplify]: Simplify (* 1 1) into 1
2.901 * [backup-simplify]: Simplify (+ 0 1) into 1
2.901 * [backup-simplify]: Simplify (* 1 1) into 1
2.901 * [backup-simplify]: Simplify (/ 1 1) into 1
2.901 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.902 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.902 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.902 * [taylor]: Taking taylor expansion of x in x
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.902 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.902 * [taylor]: Taking taylor expansion of y in x
2.902 * [backup-simplify]: Simplify y into y
2.902 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.902 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.902 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.902 * [taylor]: Taking taylor expansion of x in x
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.903 * [backup-simplify]: Simplify (* 1 1) into 1
2.903 * [backup-simplify]: Simplify (/ 1 1) into 1
2.903 * [backup-simplify]: Simplify (* 1 1) into 1
2.904 * [backup-simplify]: Simplify (+ 0 1) into 1
2.904 * [backup-simplify]: Simplify (* 1 1) into 1
2.905 * [backup-simplify]: Simplify (/ 1 1) into 1
2.905 * [taylor]: Taking taylor expansion of 1 in y
2.905 * [backup-simplify]: Simplify 1 into 1
2.905 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.910 * [taylor]: Taking taylor expansion of 0 in y
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.912 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.914 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
2.915 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
2.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.915 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.915 * [taylor]: Taking taylor expansion of y in y
2.915 * [backup-simplify]: Simplify 0 into 0
2.915 * [backup-simplify]: Simplify 1 into 1
2.915 * [backup-simplify]: Simplify (* 1 1) into 1
2.916 * [backup-simplify]: Simplify (/ 1 1) into 1
2.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.924 * [backup-simplify]: Simplify (- 0) into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify 0 into 0
2.924 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.924 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
2.924 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.924 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.924 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.924 * [taylor]: Taking taylor expansion of x in y
2.925 * [backup-simplify]: Simplify x into x
2.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.925 * [taylor]: Taking taylor expansion of y in y
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [backup-simplify]: Simplify (* 1 1) into 1
2.925 * [backup-simplify]: Simplify (/ 1 1) into 1
2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.926 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.926 * [taylor]: Taking taylor expansion of x in y
2.926 * [backup-simplify]: Simplify x into x
2.926 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.926 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.926 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.926 * [backup-simplify]: Simplify (+ 1 0) into 1
2.927 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
2.927 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.927 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.927 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.927 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.927 * [taylor]: Taking taylor expansion of x in x
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.927 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.927 * [taylor]: Taking taylor expansion of y in x
2.927 * [backup-simplify]: Simplify y into y
2.927 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.927 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.927 * [taylor]: Taking taylor expansion of x in x
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.928 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (/ 1 1) into 1
2.929 * [backup-simplify]: Simplify (* 1 1) into 1
2.929 * [backup-simplify]: Simplify (+ 0 1) into 1
2.929 * [backup-simplify]: Simplify (* 1 1) into 1
2.930 * [backup-simplify]: Simplify (/ 1 1) into 1
2.930 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.930 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.930 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.930 * [taylor]: Taking taylor expansion of x in x
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 1 into 1
2.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.930 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.930 * [taylor]: Taking taylor expansion of y in x
2.930 * [backup-simplify]: Simplify y into y
2.930 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.930 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.930 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.930 * [taylor]: Taking taylor expansion of x in x
2.930 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 1 into 1
2.931 * [backup-simplify]: Simplify (* 1 1) into 1
2.931 * [backup-simplify]: Simplify (/ 1 1) into 1
2.932 * [backup-simplify]: Simplify (* 1 1) into 1
2.932 * [backup-simplify]: Simplify (+ 0 1) into 1
2.932 * [backup-simplify]: Simplify (* 1 1) into 1
2.933 * [backup-simplify]: Simplify (/ 1 1) into 1
2.933 * [taylor]: Taking taylor expansion of 1 in y
2.933 * [backup-simplify]: Simplify 1 into 1
2.933 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.937 * [taylor]: Taking taylor expansion of 0 in y
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify 0 into 0
2.937 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.941 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
2.942 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.942 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.942 * [taylor]: Taking taylor expansion of y in y
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 1 into 1
2.942 * [backup-simplify]: Simplify (* 1 1) into 1
2.943 * [backup-simplify]: Simplify (/ 1 1) into 1
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (- 0) into 0
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 0 into 0
2.951 * [backup-simplify]: Simplify 0 into 0
2.951 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.951 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2))))
2.951 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0
2.951 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y
2.951 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
2.951 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.951 * [taylor]: Taking taylor expansion of x in y
2.951 * [backup-simplify]: Simplify x into x
2.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.951 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.952 * [taylor]: Taking taylor expansion of y in y
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 1 into 1
2.952 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.952 * [taylor]: Taking taylor expansion of x in y
2.952 * [backup-simplify]: Simplify x into x
2.952 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.952 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.952 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.952 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
2.952 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
2.952 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.952 * [taylor]: Taking taylor expansion of y in y
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 1 into 1
2.952 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.952 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.952 * [taylor]: Taking taylor expansion of y in y
2.952 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.953 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.953 * [taylor]: Taking taylor expansion of x in y
2.953 * [backup-simplify]: Simplify x into x
2.955 * [backup-simplify]: Simplify (* 1 1) into 1
2.955 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.955 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.956 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.956 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x
2.956 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
2.956 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.956 * [taylor]: Taking taylor expansion of x in x
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.956 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.956 * [taylor]: Taking taylor expansion of y in x
2.956 * [backup-simplify]: Simplify y into y
2.956 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.956 * [taylor]: Taking taylor expansion of x in x
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (* 1 1) into 1
2.957 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.957 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.957 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.957 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
2.957 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.957 * [taylor]: Taking taylor expansion of y in x
2.957 * [backup-simplify]: Simplify y into y
2.957 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.957 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.957 * [taylor]: Taking taylor expansion of y in x
2.957 * [backup-simplify]: Simplify y into y
2.957 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.957 * [taylor]: Taking taylor expansion of x in x
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.957 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.958 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.958 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
2.958 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x
2.958 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
2.958 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.958 * [taylor]: Taking taylor expansion of x in x
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify 1 into 1
2.958 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.958 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.958 * [taylor]: Taking taylor expansion of y in x
2.958 * [backup-simplify]: Simplify y into y
2.958 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.958 * [taylor]: Taking taylor expansion of x in x
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (* 1 1) into 1
2.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.959 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.959 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
2.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.959 * [taylor]: Taking taylor expansion of y in x
2.959 * [backup-simplify]: Simplify y into y
2.959 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.959 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.959 * [taylor]: Taking taylor expansion of y in x
2.959 * [backup-simplify]: Simplify y into y
2.959 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.959 * [taylor]: Taking taylor expansion of x in x
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.960 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.960 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
2.960 * [backup-simplify]: Simplify (- 1) into -1
2.961 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.961 * [taylor]: Taking taylor expansion of -1 in y
2.961 * [backup-simplify]: Simplify -1 into -1
2.961 * [backup-simplify]: Simplify -1 into -1
2.961 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.961 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.961 * [backup-simplify]: Simplify (+ 0 0) into 0
2.962 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0
2.962 * [backup-simplify]: Simplify (- 0) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [taylor]: Taking taylor expansion of 0 in y
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.964 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.964 * [backup-simplify]: Simplify (* 1 1) into 1
2.964 * [backup-simplify]: Simplify (+ 0 1) into 1
2.965 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2)))
2.965 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2))
2.965 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
2.965 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
2.966 * [taylor]: Taking taylor expansion of 2 in y
2.966 * [backup-simplify]: Simplify 2 into 2
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.966 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.966 * [taylor]: Taking taylor expansion of y in y
2.966 * [backup-simplify]: Simplify 0 into 0
2.966 * [backup-simplify]: Simplify 1 into 1
2.966 * [backup-simplify]: Simplify (* 1 1) into 1
2.966 * [backup-simplify]: Simplify (/ 1 1) into 1
2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.971 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.972 * [backup-simplify]: Simplify (+ 0 0) into 0
2.973 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.974 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.975 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.976 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
2.977 * [backup-simplify]: Simplify (- 0) into 0
2.978 * [backup-simplify]: Simplify (+ 0 0) into 0
2.978 * [taylor]: Taking taylor expansion of 0 in y
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify -1 into -1
2.979 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
2.979 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0
2.979 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
2.979 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.979 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.979 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.979 * [taylor]: Taking taylor expansion of x in y
2.979 * [backup-simplify]: Simplify x into x
2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.979 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.979 * [taylor]: Taking taylor expansion of y in y
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 1 into 1
2.980 * [backup-simplify]: Simplify (* 1 1) into 1
2.980 * [backup-simplify]: Simplify (/ 1 1) into 1
2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.980 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.980 * [taylor]: Taking taylor expansion of x in y
2.980 * [backup-simplify]: Simplify x into x
2.980 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.981 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.981 * [backup-simplify]: Simplify (+ 1 0) into 1
2.981 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
2.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.981 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.981 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.981 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.981 * [taylor]: Taking taylor expansion of y in y
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.982 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.982 * [taylor]: Taking taylor expansion of y in y
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (* 1 1) into 1
2.982 * [backup-simplify]: Simplify (/ 1 1) into 1
2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.983 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.983 * [taylor]: Taking taylor expansion of x in y
2.983 * [backup-simplify]: Simplify x into x
2.983 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.983 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.983 * [backup-simplify]: Simplify (* 1 1) into 1
2.984 * [backup-simplify]: Simplify (+ 1 0) into 1
2.984 * [backup-simplify]: Simplify (* 1 1) into 1
2.984 * [backup-simplify]: Simplify (/ 1 1) into 1
2.984 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
2.985 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.985 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.985 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.985 * [taylor]: Taking taylor expansion of x in x
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.985 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.985 * [taylor]: Taking taylor expansion of y in x
2.985 * [backup-simplify]: Simplify y into y
2.985 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.985 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.985 * [taylor]: Taking taylor expansion of x in x
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 1 into 1
2.986 * [backup-simplify]: Simplify (* 1 1) into 1
2.986 * [backup-simplify]: Simplify (/ 1 1) into 1
2.986 * [backup-simplify]: Simplify (* 1 1) into 1
2.987 * [backup-simplify]: Simplify (+ 0 1) into 1
2.987 * [backup-simplify]: Simplify (* 1 1) into 1
2.987 * [backup-simplify]: Simplify (/ 1 1) into 1
2.987 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.987 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.987 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.987 * [taylor]: Taking taylor expansion of y in x
2.987 * [backup-simplify]: Simplify y into y
2.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.988 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.988 * [taylor]: Taking taylor expansion of y in x
2.988 * [backup-simplify]: Simplify y into y
2.988 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.988 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.988 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.988 * [taylor]: Taking taylor expansion of x in x
2.988 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify 1 into 1
2.988 * [backup-simplify]: Simplify (* 1 1) into 1
2.989 * [backup-simplify]: Simplify (/ 1 1) into 1
2.989 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.989 * [backup-simplify]: Simplify (+ 0 1) into 1
2.989 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.989 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.989 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
2.989 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.989 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.989 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.990 * [taylor]: Taking taylor expansion of x in x
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.990 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.990 * [taylor]: Taking taylor expansion of y in x
2.990 * [backup-simplify]: Simplify y into y
2.990 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.990 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.990 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.990 * [taylor]: Taking taylor expansion of x in x
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 1 into 1
2.990 * [backup-simplify]: Simplify (* 1 1) into 1
2.991 * [backup-simplify]: Simplify (/ 1 1) into 1
2.991 * [backup-simplify]: Simplify (* 1 1) into 1
2.991 * [backup-simplify]: Simplify (+ 0 1) into 1
2.992 * [backup-simplify]: Simplify (* 1 1) into 1
2.992 * [backup-simplify]: Simplify (/ 1 1) into 1
2.992 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.992 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.992 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.992 * [taylor]: Taking taylor expansion of y in x
2.992 * [backup-simplify]: Simplify y into y
2.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.992 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.992 * [taylor]: Taking taylor expansion of y in x
2.992 * [backup-simplify]: Simplify y into y
2.992 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.993 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.993 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.993 * [taylor]: Taking taylor expansion of x in x
2.993 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify 1 into 1
2.993 * [backup-simplify]: Simplify (* 1 1) into 1
2.993 * [backup-simplify]: Simplify (/ 1 1) into 1
2.993 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.994 * [backup-simplify]: Simplify (+ 0 1) into 1
2.994 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
2.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.994 * [backup-simplify]: Simplify (+ 1 0) into 1
2.994 * [taylor]: Taking taylor expansion of 1 in y
2.994 * [backup-simplify]: Simplify 1 into 1
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.996 * [backup-simplify]: Simplify (+ 0 0) into 0
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.998 * [backup-simplify]: Simplify (+ 0 0) into 0
2.998 * [taylor]: Taking taylor expansion of 0 in y
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.000 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.003 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
3.003 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
3.003 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.003 * [taylor]: Taking taylor expansion of 2 in y
3.003 * [backup-simplify]: Simplify 2 into 2
3.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.003 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.003 * [taylor]: Taking taylor expansion of y in y
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 1 into 1
3.003 * [backup-simplify]: Simplify (* 1 1) into 1
3.004 * [backup-simplify]: Simplify (/ 1 1) into 1
3.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.007 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.008 * [backup-simplify]: Simplify (- 0) into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.010 * [backup-simplify]: Simplify (+ 0 0) into 0
3.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.015 * [backup-simplify]: Simplify (+ 0 0) into 0
3.015 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.016 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
3.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.016 * [backup-simplify]: Simplify (- 0) into 0
3.017 * [backup-simplify]: Simplify (+ 0 0) into 0
3.017 * [taylor]: Taking taylor expansion of 0 in y
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.018 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))))
3.018 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0
3.018 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y
3.018 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.018 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.018 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.018 * [taylor]: Taking taylor expansion of x in y
3.018 * [backup-simplify]: Simplify x into x
3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.018 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.018 * [taylor]: Taking taylor expansion of y in y
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 1 into 1
3.018 * [backup-simplify]: Simplify (* 1 1) into 1
3.019 * [backup-simplify]: Simplify (/ 1 1) into 1
3.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.019 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.019 * [taylor]: Taking taylor expansion of x in y
3.019 * [backup-simplify]: Simplify x into x
3.019 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.019 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.019 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.020 * [backup-simplify]: Simplify (+ 1 0) into 1
3.020 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
3.020 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.020 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.020 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.020 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.020 * [taylor]: Taking taylor expansion of y in y
3.020 * [backup-simplify]: Simplify 0 into 0
3.020 * [backup-simplify]: Simplify 1 into 1
3.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.020 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.020 * [taylor]: Taking taylor expansion of y in y
3.020 * [backup-simplify]: Simplify 0 into 0
3.020 * [backup-simplify]: Simplify 1 into 1
3.021 * [backup-simplify]: Simplify (* 1 1) into 1
3.021 * [backup-simplify]: Simplify (/ 1 1) into 1
3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.021 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.021 * [taylor]: Taking taylor expansion of x in y
3.021 * [backup-simplify]: Simplify x into x
3.021 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.021 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.022 * [backup-simplify]: Simplify (* 1 1) into 1
3.022 * [backup-simplify]: Simplify (+ 1 0) into 1
3.023 * [backup-simplify]: Simplify (* 1 1) into 1
3.023 * [backup-simplify]: Simplify (/ 1 1) into 1
3.023 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
3.023 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.023 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.023 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.023 * [taylor]: Taking taylor expansion of x in x
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify 1 into 1
3.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.023 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.023 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.023 * [taylor]: Taking taylor expansion of y in x
3.023 * [backup-simplify]: Simplify y into y
3.023 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.024 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.024 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.024 * [taylor]: Taking taylor expansion of x in x
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.024 * [backup-simplify]: Simplify (* 1 1) into 1
3.025 * [backup-simplify]: Simplify (/ 1 1) into 1
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.025 * [backup-simplify]: Simplify (+ 0 1) into 1
3.026 * [backup-simplify]: Simplify (* 1 1) into 1
3.026 * [backup-simplify]: Simplify (/ 1 1) into 1
3.026 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.026 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.026 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.026 * [taylor]: Taking taylor expansion of y in x
3.026 * [backup-simplify]: Simplify y into y
3.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.026 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.026 * [taylor]: Taking taylor expansion of y in x
3.026 * [backup-simplify]: Simplify y into y
3.026 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.027 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.027 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.027 * [taylor]: Taking taylor expansion of x in x
3.027 * [backup-simplify]: Simplify 0 into 0
3.027 * [backup-simplify]: Simplify 1 into 1
3.027 * [backup-simplify]: Simplify (* 1 1) into 1
3.028 * [backup-simplify]: Simplify (/ 1 1) into 1
3.028 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.028 * [backup-simplify]: Simplify (+ 0 1) into 1
3.028 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.028 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.028 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x
3.028 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.029 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.029 * [taylor]: Taking taylor expansion of x in x
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 1 into 1
3.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.029 * [taylor]: Taking taylor expansion of y in x
3.029 * [backup-simplify]: Simplify y into y
3.029 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.029 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.029 * [taylor]: Taking taylor expansion of x in x
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 1 into 1
3.030 * [backup-simplify]: Simplify (* 1 1) into 1
3.030 * [backup-simplify]: Simplify (/ 1 1) into 1
3.031 * [backup-simplify]: Simplify (* 1 1) into 1
3.031 * [backup-simplify]: Simplify (+ 0 1) into 1
3.032 * [backup-simplify]: Simplify (* 1 1) into 1
3.032 * [backup-simplify]: Simplify (/ 1 1) into 1
3.032 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.032 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.032 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.032 * [taylor]: Taking taylor expansion of y in x
3.032 * [backup-simplify]: Simplify y into y
3.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.032 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.032 * [taylor]: Taking taylor expansion of y in x
3.032 * [backup-simplify]: Simplify y into y
3.032 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.033 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.033 * [taylor]: Taking taylor expansion of x in x
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 1 into 1
3.033 * [backup-simplify]: Simplify (* 1 1) into 1
3.034 * [backup-simplify]: Simplify (/ 1 1) into 1
3.034 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.034 * [backup-simplify]: Simplify (+ 0 1) into 1
3.034 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
3.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.035 * [backup-simplify]: Simplify (+ 1 0) into 1
3.035 * [taylor]: Taking taylor expansion of 1 in y
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [backup-simplify]: Simplify 1 into 1
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (+ 0 0) into 0
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (+ 0 0) into 0
3.040 * [taylor]: Taking taylor expansion of 0 in y
3.040 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.043 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.046 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
3.047 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
3.048 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
3.048 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.048 * [taylor]: Taking taylor expansion of 2 in y
3.048 * [backup-simplify]: Simplify 2 into 2
3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.048 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.048 * [taylor]: Taking taylor expansion of y in y
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify 1 into 1
3.048 * [backup-simplify]: Simplify (* 1 1) into 1
3.049 * [backup-simplify]: Simplify (/ 1 1) into 1
3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.053 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.054 * [backup-simplify]: Simplify (- 0) into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify (+ 0 0) into 0
3.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.063 * [backup-simplify]: Simplify (+ 0 0) into 0
3.063 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.063 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0
3.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.064 * [backup-simplify]: Simplify (- 0) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.064 * [taylor]: Taking taylor expansion of 0 in y
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 1 into 1
3.064 * * * [progress]: simplifying candidates
3.067 * [simplify]: Simplifying:
  (- (+ (log y) (log y)) (log (+ (* x x) (* y y))))
  (- (log (* y y)) (log (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (- (* y y))
  (- (+ (* x x) (* y y)))
  (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y 1)
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (/ (* y y) 1)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))
  (- (log (* x x)) (log (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (- (* x x))
  (- (+ (* x x) (* y y)))
  (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x 1)
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (/ (exp (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))))
  (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (- (* x x) (* y y))
  (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3))
  (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (- (/ (* y y) (+ (* x x) (* y y))))
  (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
  (- (* x x) (* y y))
  (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))))
  (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
  (- (/ (* y y) (+ (* x x) (* y y))))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
3.069 * * [simplify]: iteration 0: 117 enodes
3.101 * * [simplify]: iteration 1: 373 enodes
3.261 * * [simplify]: iteration 2: 2706 enodes
4.535 * * [simplify]: iteration complete: 5002 enodes
4.536 * * [simplify]: Extracting #0: cost 68 inf + 0
4.538 * * [simplify]: Extracting #1: cost 602 inf + 209
4.553 * * [simplify]: Extracting #2: cost 1920 inf + 28222
4.616 * * [simplify]: Extracting #3: cost 897 inf + 214512
4.688 * * [simplify]: Extracting #4: cost 131 inf + 397414
4.802 * * [simplify]: Extracting #5: cost 1 inf + 447052
4.924 * * [simplify]: Extracting #6: cost 0 inf + 447334
5.047 * [simplify]: Simplified to:
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (log (/ (* y y) (+ (* x x) (* y y))))
  (exp (/ (* y y) (+ (* x x) (* y y))))
  (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y)))))
  (cbrt (/ (* y y) (+ (* x x) (* y y))))
  (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (sqrt (/ (* y y) (+ (* x x) (* y y))))
  (- (* y y))
  (- (+ (* x x) (* y y)))
  (/ (/ y (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ y (cbrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  (/ y (sqrt (+ (* x x) (* y y))))
  y
  (/ y (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* y y))
  (/ (/ (* y y) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ (* y y) (sqrt (+ (* x x) (* y y))))
  (* y y)
  (/ (+ (* x x) (* y y)) y)
  (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (/ (* y y) (+ (* x x) (* y y))) (- (* x x) (* y y)))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (* x (- x))
  (- (+ (* x x) (* y y)))
  (/ (/ x (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  x
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (* x x)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x))))
  (/ (/ (* x x) (+ (* x x) (* y y))) (- (* x x) (* y y)))
  (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (- (* x x) (* y y))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  (- (* (/ (* x x) (+ (* x x) (* y y))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))) (* (/ (* y y) (+ (* x x) (* y y))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (+ (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))))
  (- (/ (* y y) (+ (* x x) (* y y))))
  (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (+ (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))))
  (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
  (- (* x x) (* y y))
  (- (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) (* x x)) (* x x)))))
  (- (/ (/ (* x x) (+ (* x x) (* y y))) (- (* x x) (* y y))) (/ (/ (* y y) (+ (* x x) (* y y))) (- (* x x) (* y y))))
  (- (/ (* y y) (+ (* x x) (* y y))))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
5.055 * * * [progress]: adding candidates to table
5.458 * * [progress]: iteration 2 / 4
5.458 * * * [progress]: picking best candidate
5.470 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>
5.470 * * * [progress]: localizing error
5.494 * * * [progress]: generating rewritten candidates
5.494 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
5.501 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
5.511 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
5.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
5.612 * * * [progress]: generating series expansions
5.612 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
5.612 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
5.612 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
5.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
5.612 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
5.612 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.612 * [taylor]: Taking taylor expansion of y in y
5.612 * [backup-simplify]: Simplify 0 into 0
5.612 * [backup-simplify]: Simplify 1 into 1
5.612 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.612 * [taylor]: Taking taylor expansion of x in y
5.612 * [backup-simplify]: Simplify x into x
5.613 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.613 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
5.613 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.613 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.614 * [backup-simplify]: Simplify (+ 0 0) into 0
5.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
5.614 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
5.614 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.614 * [taylor]: Taking taylor expansion of y in x
5.614 * [backup-simplify]: Simplify y into y
5.614 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.614 * [taylor]: Taking taylor expansion of x in x
5.614 * [backup-simplify]: Simplify 0 into 0
5.614 * [backup-simplify]: Simplify 1 into 1
5.614 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.614 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
5.615 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.615 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.615 * [backup-simplify]: Simplify (+ 0 0) into 0
5.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.615 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
5.615 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
5.615 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.615 * [taylor]: Taking taylor expansion of y in x
5.615 * [backup-simplify]: Simplify y into y
5.616 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.616 * [taylor]: Taking taylor expansion of x in x
5.616 * [backup-simplify]: Simplify 0 into 0
5.616 * [backup-simplify]: Simplify 1 into 1
5.616 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.616 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
5.616 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.616 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.617 * [backup-simplify]: Simplify (+ 0 0) into 0
5.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.617 * [taylor]: Taking taylor expansion of y in y
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 1 into 1
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [taylor]: Taking taylor expansion of 0 in y
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 0 into 0
5.617 * [backup-simplify]: Simplify 1 into 1
5.618 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.618 * [backup-simplify]: Simplify (* 1 1) into 1
5.618 * [backup-simplify]: Simplify (+ 0 1) into 1
5.619 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.619 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.619 * [taylor]: Taking taylor expansion of 1/2 in y
5.619 * [backup-simplify]: Simplify 1/2 into 1/2
5.619 * [taylor]: Taking taylor expansion of y in y
5.620 * [backup-simplify]: Simplify 0 into 0
5.620 * [backup-simplify]: Simplify 1 into 1
5.620 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.621 * [backup-simplify]: Simplify 0 into 0
5.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.624 * [backup-simplify]: Simplify (+ 0 0) into 0
5.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.624 * [taylor]: Taking taylor expansion of 0 in y
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.625 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
5.626 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
5.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.626 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.626 * [taylor]: Taking taylor expansion of y in y
5.626 * [backup-simplify]: Simplify 0 into 0
5.626 * [backup-simplify]: Simplify 1 into 1
5.626 * [backup-simplify]: Simplify (* 1 1) into 1
5.627 * [backup-simplify]: Simplify (/ 1 1) into 1
5.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.627 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.627 * [taylor]: Taking taylor expansion of x in y
5.627 * [backup-simplify]: Simplify x into x
5.627 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.627 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.628 * [backup-simplify]: Simplify (+ 1 0) into 1
5.628 * [backup-simplify]: Simplify (sqrt 1) into 1
5.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.630 * [backup-simplify]: Simplify (+ 0 0) into 0
5.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.631 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.631 * [taylor]: Taking taylor expansion of y in x
5.631 * [backup-simplify]: Simplify y into y
5.631 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.631 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.631 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.631 * [taylor]: Taking taylor expansion of x in x
5.631 * [backup-simplify]: Simplify 0 into 0
5.631 * [backup-simplify]: Simplify 1 into 1
5.631 * [backup-simplify]: Simplify (* 1 1) into 1
5.632 * [backup-simplify]: Simplify (/ 1 1) into 1
5.632 * [backup-simplify]: Simplify (+ 0 1) into 1
5.633 * [backup-simplify]: Simplify (sqrt 1) into 1
5.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.635 * [backup-simplify]: Simplify (+ 0 0) into 0
5.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.635 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.635 * [taylor]: Taking taylor expansion of y in x
5.635 * [backup-simplify]: Simplify y into y
5.635 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.636 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.636 * [taylor]: Taking taylor expansion of x in x
5.636 * [backup-simplify]: Simplify 0 into 0
5.636 * [backup-simplify]: Simplify 1 into 1
5.636 * [backup-simplify]: Simplify (* 1 1) into 1
5.637 * [backup-simplify]: Simplify (/ 1 1) into 1
5.637 * [backup-simplify]: Simplify (+ 0 1) into 1
5.637 * [backup-simplify]: Simplify (sqrt 1) into 1
5.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.639 * [backup-simplify]: Simplify (+ 0 0) into 0
5.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.640 * [taylor]: Taking taylor expansion of 1 in y
5.640 * [backup-simplify]: Simplify 1 into 1
5.640 * [taylor]: Taking taylor expansion of 0 in y
5.640 * [backup-simplify]: Simplify 0 into 0
5.640 * [backup-simplify]: Simplify 1 into 1
5.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.642 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
5.643 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.643 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.643 * [taylor]: Taking taylor expansion of 1/2 in y
5.643 * [backup-simplify]: Simplify 1/2 into 1/2
5.643 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.644 * [taylor]: Taking taylor expansion of y in y
5.644 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify 1 into 1
5.644 * [backup-simplify]: Simplify (* 1 1) into 1
5.644 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.646 * [backup-simplify]: Simplify 0 into 0
5.646 * [backup-simplify]: Simplify 0 into 0
5.646 * [backup-simplify]: Simplify 0 into 0
5.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.649 * [backup-simplify]: Simplify (+ 0 0) into 0
5.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.649 * [taylor]: Taking taylor expansion of 0 in y
5.649 * [backup-simplify]: Simplify 0 into 0
5.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.651 * [backup-simplify]: Simplify 0 into 0
5.651 * [backup-simplify]: Simplify 0 into 0
5.651 * [backup-simplify]: Simplify 0 into 0
5.651 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.652 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
5.652 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
5.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.652 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.652 * [taylor]: Taking taylor expansion of y in y
5.652 * [backup-simplify]: Simplify 0 into 0
5.652 * [backup-simplify]: Simplify 1 into 1
5.652 * [backup-simplify]: Simplify (* 1 1) into 1
5.653 * [backup-simplify]: Simplify (/ 1 1) into 1
5.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.653 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.653 * [taylor]: Taking taylor expansion of x in y
5.653 * [backup-simplify]: Simplify x into x
5.653 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.653 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.653 * [backup-simplify]: Simplify (+ 1 0) into 1
5.654 * [backup-simplify]: Simplify (sqrt 1) into 1
5.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.656 * [backup-simplify]: Simplify (+ 0 0) into 0
5.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.657 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.657 * [taylor]: Taking taylor expansion of y in x
5.657 * [backup-simplify]: Simplify y into y
5.657 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.657 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.657 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.657 * [taylor]: Taking taylor expansion of x in x
5.657 * [backup-simplify]: Simplify 0 into 0
5.657 * [backup-simplify]: Simplify 1 into 1
5.657 * [backup-simplify]: Simplify (* 1 1) into 1
5.658 * [backup-simplify]: Simplify (/ 1 1) into 1
5.658 * [backup-simplify]: Simplify (+ 0 1) into 1
5.659 * [backup-simplify]: Simplify (sqrt 1) into 1
5.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.660 * [backup-simplify]: Simplify (+ 0 0) into 0
5.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.661 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.661 * [taylor]: Taking taylor expansion of y in x
5.661 * [backup-simplify]: Simplify y into y
5.661 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.661 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.661 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.661 * [taylor]: Taking taylor expansion of x in x
5.662 * [backup-simplify]: Simplify 0 into 0
5.662 * [backup-simplify]: Simplify 1 into 1
5.662 * [backup-simplify]: Simplify (* 1 1) into 1
5.662 * [backup-simplify]: Simplify (/ 1 1) into 1
5.663 * [backup-simplify]: Simplify (+ 0 1) into 1
5.663 * [backup-simplify]: Simplify (sqrt 1) into 1
5.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.665 * [backup-simplify]: Simplify (+ 0 0) into 0
5.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.665 * [taylor]: Taking taylor expansion of 1 in y
5.666 * [backup-simplify]: Simplify 1 into 1
5.666 * [taylor]: Taking taylor expansion of 0 in y
5.666 * [backup-simplify]: Simplify 0 into 0
5.666 * [backup-simplify]: Simplify 1 into 1
5.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.668 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
5.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.669 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.669 * [taylor]: Taking taylor expansion of 1/2 in y
5.669 * [backup-simplify]: Simplify 1/2 into 1/2
5.669 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.669 * [taylor]: Taking taylor expansion of y in y
5.669 * [backup-simplify]: Simplify 0 into 0
5.669 * [backup-simplify]: Simplify 1 into 1
5.669 * [backup-simplify]: Simplify (* 1 1) into 1
5.670 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.671 * [backup-simplify]: Simplify 0 into 0
5.671 * [backup-simplify]: Simplify 0 into 0
5.671 * [backup-simplify]: Simplify 0 into 0
5.672 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.674 * [backup-simplify]: Simplify (+ 0 0) into 0
5.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.675 * [taylor]: Taking taylor expansion of 0 in y
5.675 * [backup-simplify]: Simplify 0 into 0
5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.677 * [backup-simplify]: Simplify 0 into 0
5.677 * [backup-simplify]: Simplify 0 into 0
5.677 * [backup-simplify]: Simplify 0 into 0
5.677 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
5.677 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
5.677 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
5.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
5.678 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
5.678 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.678 * [taylor]: Taking taylor expansion of y in y
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify 1 into 1
5.678 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.678 * [taylor]: Taking taylor expansion of x in y
5.678 * [backup-simplify]: Simplify x into x
5.678 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.678 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
5.678 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.678 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.679 * [backup-simplify]: Simplify (+ 0 0) into 0
5.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
5.679 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
5.679 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.679 * [taylor]: Taking taylor expansion of y in x
5.679 * [backup-simplify]: Simplify y into y
5.679 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.679 * [taylor]: Taking taylor expansion of x in x
5.679 * [backup-simplify]: Simplify 0 into 0
5.679 * [backup-simplify]: Simplify 1 into 1
5.679 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.679 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
5.679 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.679 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.680 * [backup-simplify]: Simplify (+ 0 0) into 0
5.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.680 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
5.680 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
5.680 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.680 * [taylor]: Taking taylor expansion of y in x
5.680 * [backup-simplify]: Simplify y into y
5.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.680 * [taylor]: Taking taylor expansion of x in x
5.680 * [backup-simplify]: Simplify 0 into 0
5.680 * [backup-simplify]: Simplify 1 into 1
5.680 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.680 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
5.681 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.681 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.681 * [backup-simplify]: Simplify (+ 0 0) into 0
5.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.681 * [taylor]: Taking taylor expansion of y in y
5.681 * [backup-simplify]: Simplify 0 into 0
5.681 * [backup-simplify]: Simplify 1 into 1
5.681 * [backup-simplify]: Simplify 0 into 0
5.681 * [taylor]: Taking taylor expansion of 0 in y
5.681 * [backup-simplify]: Simplify 0 into 0
5.681 * [backup-simplify]: Simplify 0 into 0
5.681 * [backup-simplify]: Simplify 1 into 1
5.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.682 * [backup-simplify]: Simplify (* 1 1) into 1
5.683 * [backup-simplify]: Simplify (+ 0 1) into 1
5.684 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.684 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
5.684 * [taylor]: Taking taylor expansion of 1/2 in y
5.684 * [backup-simplify]: Simplify 1/2 into 1/2
5.684 * [taylor]: Taking taylor expansion of y in y
5.684 * [backup-simplify]: Simplify 0 into 0
5.684 * [backup-simplify]: Simplify 1 into 1
5.684 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.685 * [backup-simplify]: Simplify 0 into 0
5.685 * [backup-simplify]: Simplify 0 into 0
5.685 * [backup-simplify]: Simplify 0 into 0
5.686 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.686 * [backup-simplify]: Simplify (+ 0 0) into 0
5.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
5.687 * [taylor]: Taking taylor expansion of 0 in y
5.687 * [backup-simplify]: Simplify 0 into 0
5.687 * [backup-simplify]: Simplify 0 into 0
5.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.687 * [backup-simplify]: Simplify 0 into 0
5.687 * [backup-simplify]: Simplify 0 into 0
5.687 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
5.688 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
5.688 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
5.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.688 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.688 * [taylor]: Taking taylor expansion of y in y
5.688 * [backup-simplify]: Simplify 0 into 0
5.688 * [backup-simplify]: Simplify 1 into 1
5.688 * [backup-simplify]: Simplify (* 1 1) into 1
5.688 * [backup-simplify]: Simplify (/ 1 1) into 1
5.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.688 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.688 * [taylor]: Taking taylor expansion of x in y
5.688 * [backup-simplify]: Simplify x into x
5.688 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.688 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.689 * [backup-simplify]: Simplify (+ 1 0) into 1
5.689 * [backup-simplify]: Simplify (sqrt 1) into 1
5.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.690 * [backup-simplify]: Simplify (+ 0 0) into 0
5.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.690 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.690 * [taylor]: Taking taylor expansion of y in x
5.690 * [backup-simplify]: Simplify y into y
5.690 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.691 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.691 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.691 * [taylor]: Taking taylor expansion of x in x
5.691 * [backup-simplify]: Simplify 0 into 0
5.691 * [backup-simplify]: Simplify 1 into 1
5.691 * [backup-simplify]: Simplify (* 1 1) into 1
5.691 * [backup-simplify]: Simplify (/ 1 1) into 1
5.691 * [backup-simplify]: Simplify (+ 0 1) into 1
5.692 * [backup-simplify]: Simplify (sqrt 1) into 1
5.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.693 * [backup-simplify]: Simplify (+ 0 0) into 0
5.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.693 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.693 * [taylor]: Taking taylor expansion of y in x
5.693 * [backup-simplify]: Simplify y into y
5.693 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.693 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.693 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.693 * [taylor]: Taking taylor expansion of x in x
5.693 * [backup-simplify]: Simplify 0 into 0
5.693 * [backup-simplify]: Simplify 1 into 1
5.694 * [backup-simplify]: Simplify (* 1 1) into 1
5.694 * [backup-simplify]: Simplify (/ 1 1) into 1
5.694 * [backup-simplify]: Simplify (+ 0 1) into 1
5.694 * [backup-simplify]: Simplify (sqrt 1) into 1
5.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.695 * [backup-simplify]: Simplify (+ 0 0) into 0
5.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.696 * [taylor]: Taking taylor expansion of 1 in y
5.696 * [backup-simplify]: Simplify 1 into 1
5.696 * [taylor]: Taking taylor expansion of 0 in y
5.696 * [backup-simplify]: Simplify 0 into 0
5.696 * [backup-simplify]: Simplify 1 into 1
5.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.697 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
5.698 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.698 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.698 * [taylor]: Taking taylor expansion of 1/2 in y
5.698 * [backup-simplify]: Simplify 1/2 into 1/2
5.698 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.698 * [taylor]: Taking taylor expansion of y in y
5.698 * [backup-simplify]: Simplify 0 into 0
5.698 * [backup-simplify]: Simplify 1 into 1
5.698 * [backup-simplify]: Simplify (* 1 1) into 1
5.699 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.699 * [backup-simplify]: Simplify 0 into 0
5.700 * [backup-simplify]: Simplify 0 into 0
5.700 * [backup-simplify]: Simplify 0 into 0
5.700 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.704 * [backup-simplify]: Simplify (+ 0 0) into 0
5.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.704 * [taylor]: Taking taylor expansion of 0 in y
5.704 * [backup-simplify]: Simplify 0 into 0
5.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.705 * [backup-simplify]: Simplify 0 into 0
5.706 * [backup-simplify]: Simplify 0 into 0
5.706 * [backup-simplify]: Simplify 0 into 0
5.706 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
5.706 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
5.706 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
5.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.706 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.706 * [taylor]: Taking taylor expansion of y in y
5.706 * [backup-simplify]: Simplify 0 into 0
5.706 * [backup-simplify]: Simplify 1 into 1
5.706 * [backup-simplify]: Simplify (* 1 1) into 1
5.706 * [backup-simplify]: Simplify (/ 1 1) into 1
5.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.706 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.706 * [taylor]: Taking taylor expansion of x in y
5.706 * [backup-simplify]: Simplify x into x
5.707 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.707 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.707 * [backup-simplify]: Simplify (+ 1 0) into 1
5.707 * [backup-simplify]: Simplify (sqrt 1) into 1
5.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.708 * [backup-simplify]: Simplify (+ 0 0) into 0
5.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.709 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.709 * [taylor]: Taking taylor expansion of y in x
5.709 * [backup-simplify]: Simplify y into y
5.709 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.709 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.709 * [taylor]: Taking taylor expansion of x in x
5.709 * [backup-simplify]: Simplify 0 into 0
5.709 * [backup-simplify]: Simplify 1 into 1
5.709 * [backup-simplify]: Simplify (* 1 1) into 1
5.709 * [backup-simplify]: Simplify (/ 1 1) into 1
5.710 * [backup-simplify]: Simplify (+ 0 1) into 1
5.710 * [backup-simplify]: Simplify (sqrt 1) into 1
5.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.711 * [backup-simplify]: Simplify (+ 0 0) into 0
5.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.711 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.711 * [taylor]: Taking taylor expansion of y in x
5.711 * [backup-simplify]: Simplify y into y
5.711 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.711 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.712 * [taylor]: Taking taylor expansion of x in x
5.712 * [backup-simplify]: Simplify 0 into 0
5.712 * [backup-simplify]: Simplify 1 into 1
5.712 * [backup-simplify]: Simplify (* 1 1) into 1
5.712 * [backup-simplify]: Simplify (/ 1 1) into 1
5.712 * [backup-simplify]: Simplify (+ 0 1) into 1
5.712 * [backup-simplify]: Simplify (sqrt 1) into 1
5.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.714 * [backup-simplify]: Simplify (+ 0 0) into 0
5.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.714 * [taylor]: Taking taylor expansion of 1 in y
5.714 * [backup-simplify]: Simplify 1 into 1
5.714 * [taylor]: Taking taylor expansion of 0 in y
5.714 * [backup-simplify]: Simplify 0 into 0
5.715 * [backup-simplify]: Simplify 1 into 1
5.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.717 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
5.718 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.718 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
5.718 * [taylor]: Taking taylor expansion of 1/2 in y
5.718 * [backup-simplify]: Simplify 1/2 into 1/2
5.718 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.718 * [taylor]: Taking taylor expansion of y in y
5.718 * [backup-simplify]: Simplify 0 into 0
5.718 * [backup-simplify]: Simplify 1 into 1
5.718 * [backup-simplify]: Simplify (* 1 1) into 1
5.719 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.721 * [backup-simplify]: Simplify 0 into 0
5.721 * [backup-simplify]: Simplify 0 into 0
5.721 * [backup-simplify]: Simplify 0 into 0
5.721 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.723 * [backup-simplify]: Simplify (+ 0 0) into 0
5.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.724 * [taylor]: Taking taylor expansion of 0 in y
5.724 * [backup-simplify]: Simplify 0 into 0
5.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.726 * [backup-simplify]: Simplify 0 into 0
5.726 * [backup-simplify]: Simplify 0 into 0
5.726 * [backup-simplify]: Simplify 0 into 0
5.726 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
5.727 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
5.727 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2)))
5.727 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0
5.727 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y
5.727 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.727 * [taylor]: Taking taylor expansion of x in y
5.727 * [backup-simplify]: Simplify x into x
5.727 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
5.727 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.727 * [taylor]: Taking taylor expansion of y in y
5.727 * [backup-simplify]: Simplify 0 into 0
5.727 * [backup-simplify]: Simplify 1 into 1
5.727 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.727 * [taylor]: Taking taylor expansion of x in y
5.727 * [backup-simplify]: Simplify x into x
5.727 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.727 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.728 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
5.728 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
5.728 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
5.728 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.728 * [taylor]: Taking taylor expansion of x in x
5.728 * [backup-simplify]: Simplify 0 into 0
5.728 * [backup-simplify]: Simplify 1 into 1
5.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
5.728 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.728 * [taylor]: Taking taylor expansion of y in x
5.728 * [backup-simplify]: Simplify y into y
5.728 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.728 * [taylor]: Taking taylor expansion of x in x
5.728 * [backup-simplify]: Simplify 0 into 0
5.728 * [backup-simplify]: Simplify 1 into 1
5.729 * [backup-simplify]: Simplify (* 1 1) into 1
5.729 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.729 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
5.729 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.729 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x
5.729 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.729 * [taylor]: Taking taylor expansion of x in x
5.729 * [backup-simplify]: Simplify 0 into 0
5.729 * [backup-simplify]: Simplify 1 into 1
5.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
5.729 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.729 * [taylor]: Taking taylor expansion of y in x
5.729 * [backup-simplify]: Simplify y into y
5.729 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.729 * [taylor]: Taking taylor expansion of x in x
5.729 * [backup-simplify]: Simplify 0 into 0
5.729 * [backup-simplify]: Simplify 1 into 1
5.730 * [backup-simplify]: Simplify (* 1 1) into 1
5.730 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.730 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
5.730 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.730 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.730 * [taylor]: Taking taylor expansion of y in y
5.730 * [backup-simplify]: Simplify 0 into 0
5.730 * [backup-simplify]: Simplify 1 into 1
5.731 * [backup-simplify]: Simplify (* 1 1) into 1
5.731 * [backup-simplify]: Simplify (/ 1 1) into 1
5.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.734 * [backup-simplify]: Simplify 0 into 0
5.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.735 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.736 * [backup-simplify]: Simplify (+ 0 0) into 0
5.736 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.736 * [taylor]: Taking taylor expansion of 0 in y
5.736 * [backup-simplify]: Simplify 0 into 0
5.736 * [backup-simplify]: Simplify 0 into 0
5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.738 * [backup-simplify]: Simplify 0 into 0
5.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.740 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.740 * [backup-simplify]: Simplify (* 1 1) into 1
5.741 * [backup-simplify]: Simplify (+ 0 1) into 1
5.741 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
5.741 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
5.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.741 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.741 * [taylor]: Taking taylor expansion of y in y
5.741 * [backup-simplify]: Simplify 0 into 0
5.741 * [backup-simplify]: Simplify 1 into 1
5.742 * [backup-simplify]: Simplify (* 1 1) into 1
5.742 * [backup-simplify]: Simplify (* 1 1) into 1
5.742 * [backup-simplify]: Simplify (/ 1 1) into 1
5.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.749 * [backup-simplify]: Simplify (- 0) into 0
5.749 * [backup-simplify]: Simplify 0 into 0
5.749 * [backup-simplify]: Simplify 0 into 0
5.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
5.750 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
5.750 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
5.750 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.750 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.750 * [taylor]: Taking taylor expansion of x in y
5.750 * [backup-simplify]: Simplify x into x
5.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.750 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.750 * [taylor]: Taking taylor expansion of y in y
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 1 into 1
5.751 * [backup-simplify]: Simplify (* 1 1) into 1
5.751 * [backup-simplify]: Simplify (/ 1 1) into 1
5.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.751 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.751 * [taylor]: Taking taylor expansion of x in y
5.751 * [backup-simplify]: Simplify x into x
5.751 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.751 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.751 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.751 * [backup-simplify]: Simplify (+ 1 0) into 1
5.751 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.752 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.752 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
5.752 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.752 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.752 * [taylor]: Taking taylor expansion of x in x
5.752 * [backup-simplify]: Simplify 0 into 0
5.752 * [backup-simplify]: Simplify 1 into 1
5.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.752 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.752 * [taylor]: Taking taylor expansion of y in x
5.752 * [backup-simplify]: Simplify y into y
5.752 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.752 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.752 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.752 * [taylor]: Taking taylor expansion of x in x
5.752 * [backup-simplify]: Simplify 0 into 0
5.752 * [backup-simplify]: Simplify 1 into 1
5.752 * [backup-simplify]: Simplify (* 1 1) into 1
5.752 * [backup-simplify]: Simplify (/ 1 1) into 1
5.753 * [backup-simplify]: Simplify (* 1 1) into 1
5.753 * [backup-simplify]: Simplify (+ 0 1) into 1
5.753 * [backup-simplify]: Simplify (* 1 1) into 1
5.753 * [backup-simplify]: Simplify (/ 1 1) into 1
5.753 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
5.753 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.753 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.753 * [taylor]: Taking taylor expansion of x in x
5.753 * [backup-simplify]: Simplify 0 into 0
5.753 * [backup-simplify]: Simplify 1 into 1
5.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.754 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.754 * [taylor]: Taking taylor expansion of y in x
5.754 * [backup-simplify]: Simplify y into y
5.754 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.754 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.754 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.754 * [taylor]: Taking taylor expansion of x in x
5.754 * [backup-simplify]: Simplify 0 into 0
5.754 * [backup-simplify]: Simplify 1 into 1
5.754 * [backup-simplify]: Simplify (* 1 1) into 1
5.754 * [backup-simplify]: Simplify (/ 1 1) into 1
5.754 * [backup-simplify]: Simplify (* 1 1) into 1
5.755 * [backup-simplify]: Simplify (+ 0 1) into 1
5.755 * [backup-simplify]: Simplify (* 1 1) into 1
5.755 * [backup-simplify]: Simplify (/ 1 1) into 1
5.755 * [taylor]: Taking taylor expansion of 1 in y
5.755 * [backup-simplify]: Simplify 1 into 1
5.755 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.756 * [backup-simplify]: Simplify (+ 0 0) into 0
5.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.758 * [taylor]: Taking taylor expansion of 0 in y
5.758 * [backup-simplify]: Simplify 0 into 0
5.758 * [backup-simplify]: Simplify 0 into 0
5.758 * [backup-simplify]: Simplify 0 into 0
5.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.759 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
5.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.760 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
5.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
5.760 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
5.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.760 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.760 * [taylor]: Taking taylor expansion of y in y
5.760 * [backup-simplify]: Simplify 0 into 0
5.760 * [backup-simplify]: Simplify 1 into 1
5.761 * [backup-simplify]: Simplify (* 1 1) into 1
5.761 * [backup-simplify]: Simplify (/ 1 1) into 1
5.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.765 * [backup-simplify]: Simplify (- 0) into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify 0 into 0
5.765 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
5.765 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
5.765 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
5.765 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.765 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.766 * [taylor]: Taking taylor expansion of x in y
5.766 * [backup-simplify]: Simplify x into x
5.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.766 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.766 * [taylor]: Taking taylor expansion of y in y
5.766 * [backup-simplify]: Simplify 0 into 0
5.766 * [backup-simplify]: Simplify 1 into 1
5.766 * [backup-simplify]: Simplify (* 1 1) into 1
5.766 * [backup-simplify]: Simplify (/ 1 1) into 1
5.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.766 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.766 * [taylor]: Taking taylor expansion of x in y
5.766 * [backup-simplify]: Simplify x into x
5.766 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.766 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.767 * [backup-simplify]: Simplify (+ 1 0) into 1
5.767 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.767 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.767 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
5.767 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.767 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.767 * [taylor]: Taking taylor expansion of x in x
5.767 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify 1 into 1
5.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.767 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.767 * [taylor]: Taking taylor expansion of y in x
5.767 * [backup-simplify]: Simplify y into y
5.767 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.767 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.767 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.767 * [taylor]: Taking taylor expansion of x in x
5.767 * [backup-simplify]: Simplify 0 into 0
5.767 * [backup-simplify]: Simplify 1 into 1
5.767 * [backup-simplify]: Simplify (* 1 1) into 1
5.768 * [backup-simplify]: Simplify (/ 1 1) into 1
5.768 * [backup-simplify]: Simplify (* 1 1) into 1
5.768 * [backup-simplify]: Simplify (+ 0 1) into 1
5.768 * [backup-simplify]: Simplify (* 1 1) into 1
5.769 * [backup-simplify]: Simplify (/ 1 1) into 1
5.769 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
5.769 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.769 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.769 * [taylor]: Taking taylor expansion of x in x
5.769 * [backup-simplify]: Simplify 0 into 0
5.769 * [backup-simplify]: Simplify 1 into 1
5.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.769 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.769 * [taylor]: Taking taylor expansion of y in x
5.769 * [backup-simplify]: Simplify y into y
5.769 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.769 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.769 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.769 * [taylor]: Taking taylor expansion of x in x
5.769 * [backup-simplify]: Simplify 0 into 0
5.769 * [backup-simplify]: Simplify 1 into 1
5.769 * [backup-simplify]: Simplify (* 1 1) into 1
5.770 * [backup-simplify]: Simplify (/ 1 1) into 1
5.770 * [backup-simplify]: Simplify (* 1 1) into 1
5.770 * [backup-simplify]: Simplify (+ 0 1) into 1
5.770 * [backup-simplify]: Simplify (* 1 1) into 1
5.770 * [backup-simplify]: Simplify (/ 1 1) into 1
5.771 * [taylor]: Taking taylor expansion of 1 in y
5.771 * [backup-simplify]: Simplify 1 into 1
5.771 * [backup-simplify]: Simplify 0 into 0
5.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.772 * [backup-simplify]: Simplify (+ 0 0) into 0
5.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.773 * [taylor]: Taking taylor expansion of 0 in y
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify 0 into 0
5.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.774 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
5.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.775 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
5.776 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
5.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.776 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.776 * [taylor]: Taking taylor expansion of y in y
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 1 into 1
5.776 * [backup-simplify]: Simplify (* 1 1) into 1
5.776 * [backup-simplify]: Simplify (/ 1 1) into 1
5.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (- 0) into 0
5.780 * [backup-simplify]: Simplify 0 into 0
5.780 * [backup-simplify]: Simplify 0 into 0
5.780 * [backup-simplify]: Simplify 0 into 0
5.780 * [backup-simplify]: Simplify 0 into 0
5.780 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
5.781 * [backup-simplify]: Simplify (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) into (/ (pow y 2) (+ (pow y 2) (pow x 2)))
5.781 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0
5.781 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x
5.781 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.781 * [taylor]: Taking taylor expansion of y in x
5.781 * [backup-simplify]: Simplify y into y
5.781 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
5.781 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.781 * [taylor]: Taking taylor expansion of y in x
5.781 * [backup-simplify]: Simplify y into y
5.781 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.781 * [taylor]: Taking taylor expansion of x in x
5.781 * [backup-simplify]: Simplify 0 into 0
5.781 * [backup-simplify]: Simplify 1 into 1
5.781 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.781 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.781 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
5.781 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
5.781 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
5.781 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.781 * [taylor]: Taking taylor expansion of y in y
5.782 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify 1 into 1
5.782 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
5.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.782 * [taylor]: Taking taylor expansion of y in y
5.782 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify 1 into 1
5.782 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.782 * [taylor]: Taking taylor expansion of x in y
5.782 * [backup-simplify]: Simplify x into x
5.782 * [backup-simplify]: Simplify (* 1 1) into 1
5.782 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.782 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
5.782 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.782 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y
5.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.782 * [taylor]: Taking taylor expansion of y in y
5.782 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify 1 into 1
5.782 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
5.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.782 * [taylor]: Taking taylor expansion of y in y
5.782 * [backup-simplify]: Simplify 0 into 0
5.782 * [backup-simplify]: Simplify 1 into 1
5.782 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.782 * [taylor]: Taking taylor expansion of x in y
5.782 * [backup-simplify]: Simplify x into x
5.783 * [backup-simplify]: Simplify (* 1 1) into 1
5.783 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.783 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
5.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.783 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.783 * [taylor]: Taking taylor expansion of x in x
5.783 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify 1 into 1
5.783 * [backup-simplify]: Simplify (* 1 1) into 1
5.783 * [backup-simplify]: Simplify (/ 1 1) into 1
5.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.785 * [backup-simplify]: Simplify 0 into 0
5.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.786 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.786 * [backup-simplify]: Simplify (+ 0 0) into 0
5.786 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
5.786 * [taylor]: Taking taylor expansion of 0 in x
5.786 * [backup-simplify]: Simplify 0 into 0
5.786 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.787 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.788 * [backup-simplify]: Simplify (* 1 1) into 1
5.788 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
5.789 * [backup-simplify]: Simplify (+ 1 0) into 1
5.789 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
5.789 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
5.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
5.789 * [taylor]: Taking taylor expansion of (pow x 4) in x
5.789 * [taylor]: Taking taylor expansion of x in x
5.789 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify 1 into 1
5.789 * [backup-simplify]: Simplify (* 1 1) into 1
5.790 * [backup-simplify]: Simplify (* 1 1) into 1
5.790 * [backup-simplify]: Simplify (/ 1 1) into 1
5.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.797 * [backup-simplify]: Simplify (- 0) into 0
5.797 * [backup-simplify]: Simplify 0 into 0
5.797 * [backup-simplify]: Simplify 0 into 0
5.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify 0 into 0
5.798 * [backup-simplify]: Simplify (* (/ (/ 1 y) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (/ (/ 1 y) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
5.798 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
5.798 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
5.798 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.798 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.798 * [taylor]: Taking taylor expansion of y in x
5.798 * [backup-simplify]: Simplify y into y
5.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.799 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.799 * [taylor]: Taking taylor expansion of y in x
5.799 * [backup-simplify]: Simplify y into y
5.799 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.799 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.799 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.799 * [taylor]: Taking taylor expansion of x in x
5.799 * [backup-simplify]: Simplify 0 into 0
5.799 * [backup-simplify]: Simplify 1 into 1
5.799 * [backup-simplify]: Simplify (* 1 1) into 1
5.799 * [backup-simplify]: Simplify (/ 1 1) into 1
5.799 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.800 * [backup-simplify]: Simplify (+ 0 1) into 1
5.800 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
5.800 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.800 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
5.800 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.800 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.800 * [taylor]: Taking taylor expansion of y in y
5.800 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify 1 into 1
5.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.800 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.800 * [taylor]: Taking taylor expansion of y in y
5.800 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify 1 into 1
5.800 * [backup-simplify]: Simplify (* 1 1) into 1
5.802 * [backup-simplify]: Simplify (/ 1 1) into 1
5.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.802 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.802 * [taylor]: Taking taylor expansion of x in y
5.802 * [backup-simplify]: Simplify x into x
5.802 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.802 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.803 * [backup-simplify]: Simplify (* 1 1) into 1
5.803 * [backup-simplify]: Simplify (+ 1 0) into 1
5.804 * [backup-simplify]: Simplify (* 1 1) into 1
5.804 * [backup-simplify]: Simplify (/ 1 1) into 1
5.804 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
5.804 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.804 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.804 * [taylor]: Taking taylor expansion of y in y
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 1 into 1
5.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.804 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.804 * [taylor]: Taking taylor expansion of y in y
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 1 into 1
5.805 * [backup-simplify]: Simplify (* 1 1) into 1
5.805 * [backup-simplify]: Simplify (/ 1 1) into 1
5.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.805 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.805 * [taylor]: Taking taylor expansion of x in y
5.805 * [backup-simplify]: Simplify x into x
5.805 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.805 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.806 * [backup-simplify]: Simplify (* 1 1) into 1
5.806 * [backup-simplify]: Simplify (+ 1 0) into 1
5.807 * [backup-simplify]: Simplify (* 1 1) into 1
5.807 * [backup-simplify]: Simplify (/ 1 1) into 1
5.807 * [taylor]: Taking taylor expansion of 1 in x
5.807 * [backup-simplify]: Simplify 1 into 1
5.807 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.809 * [backup-simplify]: Simplify (+ 0 0) into 0
5.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.811 * [taylor]: Taking taylor expansion of 0 in x
5.811 * [backup-simplify]: Simplify 0 into 0
5.811 * [backup-simplify]: Simplify 0 into 0
5.811 * [backup-simplify]: Simplify 0 into 0
5.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.813 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
5.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.815 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
5.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
5.815 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
5.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.815 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.815 * [taylor]: Taking taylor expansion of x in x
5.816 * [backup-simplify]: Simplify 0 into 0
5.816 * [backup-simplify]: Simplify 1 into 1
5.816 * [backup-simplify]: Simplify (* 1 1) into 1
5.816 * [backup-simplify]: Simplify (/ 1 1) into 1
5.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.824 * [backup-simplify]: Simplify (- 0) into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.824 * [backup-simplify]: Simplify 0 into 0
5.825 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (/ (/ 1 (- y)) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
5.825 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
5.825 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
5.825 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
5.825 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.825 * [taylor]: Taking taylor expansion of y in x
5.825 * [backup-simplify]: Simplify y into y
5.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
5.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.825 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.825 * [taylor]: Taking taylor expansion of y in x
5.825 * [backup-simplify]: Simplify y into y
5.825 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.825 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.826 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.826 * [taylor]: Taking taylor expansion of x in x
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [backup-simplify]: Simplify 1 into 1
5.826 * [backup-simplify]: Simplify (* 1 1) into 1
5.826 * [backup-simplify]: Simplify (/ 1 1) into 1
5.826 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.827 * [backup-simplify]: Simplify (+ 0 1) into 1
5.827 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2)
5.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.827 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
5.827 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.827 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.827 * [taylor]: Taking taylor expansion of y in y
5.827 * [backup-simplify]: Simplify 0 into 0
5.827 * [backup-simplify]: Simplify 1 into 1
5.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.827 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.827 * [taylor]: Taking taylor expansion of y in y
5.827 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify 1 into 1
5.828 * [backup-simplify]: Simplify (* 1 1) into 1
5.828 * [backup-simplify]: Simplify (/ 1 1) into 1
5.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.828 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.828 * [taylor]: Taking taylor expansion of x in y
5.828 * [backup-simplify]: Simplify x into x
5.828 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.829 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.829 * [backup-simplify]: Simplify (* 1 1) into 1
5.829 * [backup-simplify]: Simplify (+ 1 0) into 1
5.830 * [backup-simplify]: Simplify (* 1 1) into 1
5.830 * [backup-simplify]: Simplify (/ 1 1) into 1
5.830 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
5.830 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
5.830 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.830 * [taylor]: Taking taylor expansion of y in y
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 1 into 1
5.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
5.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.830 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.830 * [taylor]: Taking taylor expansion of y in y
5.830 * [backup-simplify]: Simplify 0 into 0
5.831 * [backup-simplify]: Simplify 1 into 1
5.831 * [backup-simplify]: Simplify (* 1 1) into 1
5.831 * [backup-simplify]: Simplify (/ 1 1) into 1
5.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.831 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.831 * [taylor]: Taking taylor expansion of x in y
5.831 * [backup-simplify]: Simplify x into x
5.831 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.832 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.832 * [backup-simplify]: Simplify (* 1 1) into 1
5.832 * [backup-simplify]: Simplify (+ 1 0) into 1
5.833 * [backup-simplify]: Simplify (* 1 1) into 1
5.833 * [backup-simplify]: Simplify (/ 1 1) into 1
5.833 * [taylor]: Taking taylor expansion of 1 in x
5.833 * [backup-simplify]: Simplify 1 into 1
5.833 * [backup-simplify]: Simplify 0 into 0
5.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.835 * [backup-simplify]: Simplify (+ 0 0) into 0
5.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.837 * [taylor]: Taking taylor expansion of 0 in x
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 0 into 0
5.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.840 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
5.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.842 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2))
5.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
5.843 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
5.843 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.843 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.843 * [taylor]: Taking taylor expansion of x in x
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.844 * [backup-simplify]: Simplify (* 1 1) into 1
5.844 * [backup-simplify]: Simplify (/ 1 1) into 1
5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.853 * [backup-simplify]: Simplify (- 0) into 0
5.853 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * [backup-simplify]: Simplify 0 into 0
5.854 * * * [progress]: simplifying candidates
5.859 * [simplify]: Simplifying:
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  (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))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* y y))))
  (- (log (* x x)) (log (+ (* x x) (* y y))))
  (log (/ (* x x) (+ (* x x) (* y y))))
  (exp (/ (* x x) (+ (* x x) (* y y))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y)))))
  (cbrt (/ (* x x) (+ (* x x) (* y y))))
  (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (sqrt (/ (* x x) (+ (* x x) (* y y))))
  (- (* x x))
  (- (+ (* x x) (* y y)))
  (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ x (cbrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x (sqrt (+ (* x x) (* y y))))
  (/ x 1)
  (/ x (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* x x) (sqrt (+ (* x x) (* y y))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* y y)) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (+ 1 1)
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (+ 1 1)
  (+ (- (log y) (log (sqrt (+ (* x x) (* y y))))) (- (log y) (log (sqrt (+ (* x x) (* y y))))))
  (+ (- (log y) (log (sqrt (+ (* x x) (* y y))))) (log (/ y (sqrt (+ (* x x) (* y y))))))
  (+ (log (/ y (sqrt (+ (* x x) (* y y))))) (- (log y) (log (sqrt (+ (* x x) (* y y))))))
  (+ (log (/ y (sqrt (+ (* x x) (* y y))))) (log (/ y (sqrt (+ (* x x) (* y y))))))
  (log (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (exp (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))) (/ (* (* y y) y) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))
  (* (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))) (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))) (cbrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))
  (cbrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (* (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (sqrt (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* y y)
  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (cbrt (/ y (sqrt (+ (* x x) (* y y)))))) (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (cbrt (/ y (sqrt (+ (* x x) (* y y)))))))
  (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (cbrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ (cbrt y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (* (cbrt y) (cbrt y)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (/ (cbrt y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (cbrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt 1)))
  (* (/ (cbrt y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt y) (sqrt (+ (* x x) (* y y)))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (* (cbrt y) (cbrt y)) 1) (/ (* (cbrt y) (cbrt y)) 1))
  (* (/ (cbrt y) (sqrt (+ (* x x) (* y y)))) (/ (cbrt y) (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (sqrt y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ (sqrt y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ (sqrt y) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (/ (sqrt y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (cbrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt 1)) (/ (sqrt y) (sqrt 1)))
  (* (/ (sqrt y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) 1) (/ (sqrt y) 1))
  (* (/ (sqrt y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) (sqrt (+ (* x x) (* y y)))))
  (* (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ y (cbrt (sqrt (+ (* x x) (* y y))))) (/ y (cbrt (sqrt (+ (* x x) (* y y))))))
  (* (/ 1 (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))) (/ 1 (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (cbrt (+ (* x x) (* y y))))) (/ y (sqrt (cbrt (+ (* x x) (* y y))))))
  (* (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ 1 (sqrt 1)) (/ 1 (sqrt 1)))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ 1 1) (/ 1 1))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* 1 1)
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* y y)
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (/ 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)) (* (* x x) (* y y))))))
  (* (/ y (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (/ y (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* 2 1)
  (* (/ y (sqrt (+ (* x x) (* y y)))) (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (cbrt (/ y (sqrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (sqrt (/ y (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt y) (cbrt y)) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt y) (cbrt y)) (sqrt 1)))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt y) (cbrt y)) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt y) (cbrt y)) 1))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) (sqrt 1)))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ (sqrt y) 1))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt 1)))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ 1 1))
  (* (/ y (sqrt (+ (* x x) (* y y)))) 1)
  (* (/ y (sqrt (+ (* x x) (* y y)))) y)
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))))
  (* (cbrt (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (/ y (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (cbrt y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (cbrt y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (cbrt y) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (cbrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (cbrt y) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ (sqrt y) (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (cbrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (cbrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (sqrt (+ (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (sqrt (- (* x x) (* y y))) (/ y (sqrt (+ (* x x) (* y y)))))
  (* (/ y (sqrt (+ (* x x) (* y y)))) y)
  (* y (/ y (sqrt (+ (* x x) (* y y)))))
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  0
  0
  0
  0
  0
  0
5.868 * * [simplify]: iteration 0: 207 enodes
5.945 * * [simplify]: iteration 1: 721 enodes
6.200 * * [simplify]: iteration complete: 5000 enodes
6.201 * * [simplify]: Extracting #0: cost 110 inf + 0
6.207 * * [simplify]: Extracting #1: cost 1382 inf + 251
6.229 * * [simplify]: Extracting #2: cost 1904 inf + 46050
6.289 * * [simplify]: Extracting #3: cost 698 inf + 355957
6.409 * * [simplify]: Extracting #4: cost 40 inf + 552758
6.534 * * [simplify]: Extracting #5: cost 5 inf + 565673
6.672 * * [simplify]: Extracting #6: cost 0 inf + 566636
6.866 * [simplify]: Simplified to:
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  (exp (sqrt (+ (* y y) (* x x))))
  (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (* y y) (* x x))))
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  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
  (sqrt (+ (* y y) (* x x)))
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  1/2
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  (sqrt (sqrt (+ (* y y) (* x x))))
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  (cbrt (sqrt (+ (* y y) (* x x))))
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  (sqrt (cbrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  1
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  (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (sqrt (+ (* y y) (* x x))))
  (sqrt (sqrt (+ (* y y) (* x x))))
  (log (/ (* x x) (+ (* y y) (* x x))))
  (log (/ (* x x) (+ (* y y) (* x x))))
  (log (/ (* x x) (+ (* y y) (* x x))))
  (exp (/ (* x x) (+ (* y y) (* x x))))
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  (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x)))))
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  (sqrt (/ (* x x) (+ (* y y) (* x x))))
  (sqrt (/ (* x x) (+ (* y y) (* x x))))
  (* x (- x))
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  (/ x (cbrt (+ (* y y) (* x x))))
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  x
  (/ x (+ (* y y) (* x x)))
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  (* x x)
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  (/ (/ (* x x) (+ (* x x) (* y y))) (- (* x x) (* y y)))
  2
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  2
  (+ (log (/ y (sqrt (+ (* y y) (* x x))))) (log (/ y (sqrt (+ (* y y) (* x x))))))
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  (* (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (* (* (/ y (sqrt (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))))
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  (* y y)
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  (/ y (sqrt (+ (* y y) (* x x))))
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  (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))
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  (* (/ (/ (sqrt y) (cbrt (sqrt (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* y y) (* x x))))) (/ (/ (sqrt y) (cbrt (sqrt (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (cbrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (cbrt (sqrt (+ (* y y) (* x x))))))
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  (* (/ (sqrt y) (sqrt (cbrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (cbrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  y
  (* (/ (sqrt y) (sqrt (+ (* y y) (* x x)))) (/ (sqrt y) (sqrt (+ (* y y) (* x x)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  y
  (* (/ (sqrt y) (sqrt (+ (* y y) (* x x)))) (/ (sqrt y) (sqrt (+ (* y y) (* x x)))))
  (/ (/ 1 (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (cbrt (sqrt (+ (* y y) (* x x))))) (/ y (cbrt (sqrt (+ (* y y) (* x x))))))
  (* (/ 1 (fabs (cbrt (+ (* y y) (* x x))))) (/ 1 (fabs (cbrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (cbrt (+ (* y y) (* x x))))) (/ y (sqrt (cbrt (+ (* y y) (* x x))))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  1
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))) (/ 1 (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ y (sqrt (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (sqrt (+ (* y y) (* x x))))))
  1
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  1
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* y y)
  (/ 1 (+ (* y y) (* x x)))
  (* (/ y (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y)))))) (/ y (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y)))))))
  (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* 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))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* (sqrt (/ y (sqrt (+ (* y y) (* x x))))) (sqrt y)) (sqrt (sqrt (+ (* y y) (* x x)))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  (* (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))) (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x))))))
  2
  (* (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt (/ y (sqrt (+ (* y y) (* x x))))) (cbrt (/ y (sqrt (+ (* y y) (* x x)))))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ y (sqrt (+ (* y y) (* x x))))))
  (/ (* (* (/ (cbrt y) (cbrt (sqrt (+ (* y y) (* x x))))) (/ (cbrt y) (cbrt (sqrt (+ (* y y) (* x x)))))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* y (/ (cbrt y) (/ (fabs (cbrt (+ (* y y) (* x x)))) (cbrt y)))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt y) (cbrt y))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* y (* (cbrt y) (cbrt y))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt y) (cbrt y))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ (* y (* (cbrt y) (cbrt y))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt y)) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))))
  (/ (* (sqrt y) (/ y (sqrt (+ (* y y) (* x x))))) (fabs (cbrt (+ (* y y) (* x x)))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (sqrt y) y) (sqrt (+ (* y y) (* x x))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (sqrt y) y) (sqrt (+ (* y y) (* x x))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (* (cbrt (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x))))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (fabs (cbrt (+ (* y y) (* x x)))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (sqrt (+ (* y y) (* x x)))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* (* x x) (* (* x x) (* x x))) (* (* y y) (* (* y y) (* y y))))))
  (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (* (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (* (cbrt (/ y (sqrt (+ (* y y) (* x x))))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ y (sqrt (+ (* y y) (* x x))))))
  (/ (/ (* (cbrt y) y) (sqrt (+ (* y y) (* x x)))) (cbrt (sqrt (+ (* y y) (* x x)))))
  (/ (cbrt y) (/ (sqrt (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))))
  (/ (* (/ (cbrt y) (sqrt (sqrt (+ (* y y) (* x x))))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ (cbrt y) (sqrt (+ (* y y) (* x x)))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ (cbrt y) (sqrt (sqrt (+ (* y y) (* x x))))) y) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ (cbrt y) (sqrt (+ (* y y) (* x x)))) y) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* (sqrt y) y) (cbrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* (sqrt y) y) (sqrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt y)) (sqrt (+ (* y y) (* x x))))
  (/ (* y (/ (sqrt y) (sqrt (sqrt (+ (* y y) (* x x)))))) (sqrt (+ (* y y) (* x x))))
  (/ (* (/ y (sqrt (+ (* y y) (* x x)))) (sqrt y)) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* y y) (cbrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (/ (/ (* y y) (sqrt (+ (* y y) (* x x)))) (sqrt (cbrt (+ (* y y) (* x x)))))
  (/ (/ (* y y) (sqrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (/ (/ (* y y) (sqrt (sqrt (+ (* y y) (* x x))))) (sqrt (+ (* y y) (* x x))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (* (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (/ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))))
  (* (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (/ (* y (sqrt (- (* x x) (* y y)))) (sqrt (+ (* y y) (* x x))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  y
  x
  (- x)
  y
  x
  (- x)
  0
  0
  0
  0
  0
  0
6.908 * * * [progress]: adding candidates to table
7.627 * * [progress]: iteration 3 / 4
7.627 * * * [progress]: picking best candidate
7.642 * * * * [pick]: Picked  #<alt (λ (x y) -1)>
7.642 * * * [progress]: localizing error
7.642 * * * [progress]: generating rewritten candidates
7.642 * * * [progress]: generating series expansions
7.643 * * * [progress]: simplifying candidates
7.643 * [simplify]: Simplifying:
  
7.643 * * [simplify]: iteration 0: 0 enodes
7.643 * * [simplify]: iteration complete: 0 enodes
7.643 * * [simplify]: Extracting #0: cost 0 inf + 0
7.643 * [simplify]: Simplified to:
  
7.643 * * * [progress]: adding candidates to table
7.644 * * [progress]: iteration 4 / 4
7.644 * * * [progress]: picking best candidate
7.654 * * * * [pick]: Picked  #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))>
7.654 * * * [progress]: localizing error
7.676 * * * [progress]: generating rewritten candidates
7.677 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
7.700 * * * [progress]: generating series expansions
7.700 * * * * [progress]: [ 1 / 1 ] generating series at (2)
7.701 * [backup-simplify]: Simplify (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) into (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2)))
7.701 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in (x y) around 0
7.701 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in y
7.701 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y
7.701 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.701 * [taylor]: Taking taylor expansion of x in y
7.701 * [backup-simplify]: Simplify x into x
7.701 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.701 * [taylor]: Taking taylor expansion of y in y
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.701 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
7.701 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.701 * [taylor]: Taking taylor expansion of y in y
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.701 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.701 * [taylor]: Taking taylor expansion of x in y
7.701 * [backup-simplify]: Simplify x into x
7.701 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.701 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.701 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.701 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
7.701 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
7.701 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in x
7.701 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
7.701 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.701 * [taylor]: Taking taylor expansion of x in x
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 1 into 1
7.701 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.701 * [taylor]: Taking taylor expansion of y in x
7.701 * [backup-simplify]: Simplify y into y
7.701 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
7.701 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.701 * [taylor]: Taking taylor expansion of y in x
7.701 * [backup-simplify]: Simplify y into y
7.702 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.702 * [taylor]: Taking taylor expansion of x in x
7.702 * [backup-simplify]: Simplify 0 into 0
7.702 * [backup-simplify]: Simplify 1 into 1
7.702 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.702 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
7.702 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
7.702 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.702 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.702 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1
7.702 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow y 2) (pow x 2))) in x
7.702 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x
7.702 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.702 * [taylor]: Taking taylor expansion of x in x
7.702 * [backup-simplify]: Simplify 0 into 0
7.702 * [backup-simplify]: Simplify 1 into 1
7.702 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.702 * [taylor]: Taking taylor expansion of y in x
7.702 * [backup-simplify]: Simplify y into y
7.702 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
7.702 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.702 * [taylor]: Taking taylor expansion of y in x
7.702 * [backup-simplify]: Simplify y into y
7.702 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.702 * [taylor]: Taking taylor expansion of x in x
7.702 * [backup-simplify]: Simplify 0 into 0
7.702 * [backup-simplify]: Simplify 1 into 1
7.702 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.702 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2))
7.703 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2))
7.703 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.703 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.703 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1
7.703 * [taylor]: Taking taylor expansion of -1 in y
7.703 * [backup-simplify]: Simplify -1 into -1
7.703 * [backup-simplify]: Simplify -1 into -1
7.703 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.704 * [backup-simplify]: Simplify (- 0) into 0
7.704 * [backup-simplify]: Simplify (+ 0 0) into 0
7.704 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.705 * [backup-simplify]: Simplify (+ 0 0) into 0
7.705 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
7.705 * [taylor]: Taking taylor expansion of 0 in y
7.705 * [backup-simplify]: Simplify 0 into 0
7.705 * [backup-simplify]: Simplify 0 into 0
7.705 * [backup-simplify]: Simplify 0 into 0
7.705 * [backup-simplify]: Simplify (* 1 1) into 1
7.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.706 * [backup-simplify]: Simplify (- 0) into 0
7.706 * [backup-simplify]: Simplify (+ 1 0) into 1
7.707 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.707 * [backup-simplify]: Simplify (* 1 1) into 1
7.708 * [backup-simplify]: Simplify (+ 0 1) into 1
7.708 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
7.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
7.708 * [taylor]: Taking taylor expansion of 2 in y
7.708 * [backup-simplify]: Simplify 2 into 2
7.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.708 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.708 * [taylor]: Taking taylor expansion of y in y
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 1 into 1
7.709 * [backup-simplify]: Simplify (* 1 1) into 1
7.709 * [backup-simplify]: Simplify (/ 1 1) into 1
7.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify 0 into 0
7.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.714 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.715 * [backup-simplify]: Simplify (- 0) into 0
7.715 * [backup-simplify]: Simplify (+ 0 0) into 0
7.716 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.717 * [backup-simplify]: Simplify (+ 0 0) into 0
7.717 * [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
7.717 * [taylor]: Taking taylor expansion of 0 in y
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify -1 into -1
7.718 * [backup-simplify]: Simplify (/ (- (* (/ 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))))
7.718 * [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
7.718 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
7.718 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.718 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.718 * [taylor]: Taking taylor expansion of x in y
7.718 * [backup-simplify]: Simplify x into x
7.718 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.718 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.718 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.718 * [taylor]: Taking taylor expansion of y in y
7.718 * [backup-simplify]: Simplify 0 into 0
7.718 * [backup-simplify]: Simplify 1 into 1
7.718 * [backup-simplify]: Simplify (* 1 1) into 1
7.719 * [backup-simplify]: Simplify (/ 1 1) into 1
7.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
7.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.719 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.719 * [taylor]: Taking taylor expansion of y in y
7.719 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify 1 into 1
7.719 * [backup-simplify]: Simplify (* 1 1) into 1
7.719 * [backup-simplify]: Simplify (/ 1 1) into 1
7.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.719 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.719 * [taylor]: Taking taylor expansion of x in y
7.719 * [backup-simplify]: Simplify x into x
7.719 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.719 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.720 * [backup-simplify]: Simplify (- 1) into -1
7.720 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.720 * [backup-simplify]: Simplify (+ 1 0) into 1
7.721 * [backup-simplify]: Simplify (/ -1 1) into -1
7.721 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.721 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.721 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.721 * [taylor]: Taking taylor expansion of x in x
7.721 * [backup-simplify]: Simplify 0 into 0
7.721 * [backup-simplify]: Simplify 1 into 1
7.721 * [backup-simplify]: Simplify (* 1 1) into 1
7.721 * [backup-simplify]: Simplify (/ 1 1) into 1
7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.721 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.721 * [taylor]: Taking taylor expansion of y in x
7.721 * [backup-simplify]: Simplify y into y
7.721 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.721 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.721 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.721 * [taylor]: Taking taylor expansion of y in x
7.721 * [backup-simplify]: Simplify y into y
7.721 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.722 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.722 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.722 * [taylor]: Taking taylor expansion of x in x
7.722 * [backup-simplify]: Simplify 0 into 0
7.722 * [backup-simplify]: Simplify 1 into 1
7.722 * [backup-simplify]: Simplify (* 1 1) into 1
7.722 * [backup-simplify]: Simplify (/ 1 1) into 1
7.722 * [backup-simplify]: Simplify (+ 1 0) into 1
7.723 * [backup-simplify]: Simplify (+ 0 1) into 1
7.723 * [backup-simplify]: Simplify (/ 1 1) into 1
7.723 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.723 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.723 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.723 * [taylor]: Taking taylor expansion of x in x
7.723 * [backup-simplify]: Simplify 0 into 0
7.723 * [backup-simplify]: Simplify 1 into 1
7.723 * [backup-simplify]: Simplify (* 1 1) into 1
7.723 * [backup-simplify]: Simplify (/ 1 1) into 1
7.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.723 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.723 * [taylor]: Taking taylor expansion of y in x
7.723 * [backup-simplify]: Simplify y into y
7.724 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.724 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.724 * [taylor]: Taking taylor expansion of y in x
7.724 * [backup-simplify]: Simplify y into y
7.724 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.724 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.724 * [taylor]: Taking taylor expansion of x in x
7.724 * [backup-simplify]: Simplify 0 into 0
7.724 * [backup-simplify]: Simplify 1 into 1
7.724 * [backup-simplify]: Simplify (* 1 1) into 1
7.724 * [backup-simplify]: Simplify (/ 1 1) into 1
7.725 * [backup-simplify]: Simplify (+ 1 0) into 1
7.725 * [backup-simplify]: Simplify (+ 0 1) into 1
7.725 * [backup-simplify]: Simplify (/ 1 1) into 1
7.725 * [taylor]: Taking taylor expansion of 1 in y
7.725 * [backup-simplify]: Simplify 1 into 1
7.725 * [backup-simplify]: Simplify 1 into 1
7.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.727 * [backup-simplify]: Simplify (+ 0 0) into 0
7.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.728 * [backup-simplify]: Simplify (+ 0 0) into 0
7.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.728 * [taylor]: Taking taylor expansion of 0 in y
7.728 * [backup-simplify]: Simplify 0 into 0
7.728 * [backup-simplify]: Simplify 0 into 0
7.728 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.729 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
7.730 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
7.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.731 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
7.731 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
7.731 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
7.731 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
7.731 * [taylor]: Taking taylor expansion of 2 in y
7.731 * [backup-simplify]: Simplify 2 into 2
7.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.731 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.731 * [taylor]: Taking taylor expansion of y in y
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.732 * [backup-simplify]: Simplify (* 1 1) into 1
7.732 * [backup-simplify]: Simplify (/ 1 1) into 1
7.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.734 * [backup-simplify]: Simplify (- 0) into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify 0 into 0
7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.736 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.736 * [backup-simplify]: Simplify (- 0) into 0
7.736 * [backup-simplify]: Simplify (+ 0 0) into 0
7.736 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
7.739 * [taylor]: Taking taylor expansion of 0 in y
7.739 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 1 into 1
7.740 * [backup-simplify]: Simplify (/ (- (* (/ 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))))
7.740 * [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
7.740 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
7.740 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.740 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.740 * [taylor]: Taking taylor expansion of x in y
7.740 * [backup-simplify]: Simplify x into x
7.740 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.740 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.740 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.740 * [taylor]: Taking taylor expansion of y in y
7.740 * [backup-simplify]: Simplify 0 into 0
7.740 * [backup-simplify]: Simplify 1 into 1
7.740 * [backup-simplify]: Simplify (* 1 1) into 1
7.740 * [backup-simplify]: Simplify (/ 1 1) into 1
7.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
7.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.740 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.740 * [taylor]: Taking taylor expansion of y in y
7.741 * [backup-simplify]: Simplify 0 into 0
7.741 * [backup-simplify]: Simplify 1 into 1
7.741 * [backup-simplify]: Simplify (* 1 1) into 1
7.741 * [backup-simplify]: Simplify (/ 1 1) into 1
7.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.741 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.741 * [taylor]: Taking taylor expansion of x in y
7.741 * [backup-simplify]: Simplify x into x
7.741 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.742 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.742 * [backup-simplify]: Simplify (- 1) into -1
7.742 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.742 * [backup-simplify]: Simplify (+ 1 0) into 1
7.743 * [backup-simplify]: Simplify (/ -1 1) into -1
7.743 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.743 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.743 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.743 * [taylor]: Taking taylor expansion of x in x
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [backup-simplify]: Simplify (* 1 1) into 1
7.743 * [backup-simplify]: Simplify (/ 1 1) into 1
7.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.743 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.743 * [taylor]: Taking taylor expansion of y in x
7.743 * [backup-simplify]: Simplify y into y
7.743 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.744 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.744 * [taylor]: Taking taylor expansion of y in x
7.744 * [backup-simplify]: Simplify y into y
7.744 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.744 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.744 * [taylor]: Taking taylor expansion of x in x
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.744 * [backup-simplify]: Simplify (* 1 1) into 1
7.744 * [backup-simplify]: Simplify (/ 1 1) into 1
7.745 * [backup-simplify]: Simplify (+ 1 0) into 1
7.745 * [backup-simplify]: Simplify (+ 0 1) into 1
7.745 * [backup-simplify]: Simplify (/ 1 1) into 1
7.745 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.745 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.745 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.745 * [taylor]: Taking taylor expansion of x in x
7.745 * [backup-simplify]: Simplify 0 into 0
7.745 * [backup-simplify]: Simplify 1 into 1
7.745 * [backup-simplify]: Simplify (* 1 1) into 1
7.746 * [backup-simplify]: Simplify (/ 1 1) into 1
7.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.746 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.746 * [taylor]: Taking taylor expansion of y in x
7.746 * [backup-simplify]: Simplify y into y
7.746 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.746 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.746 * [taylor]: Taking taylor expansion of y in x
7.746 * [backup-simplify]: Simplify y into y
7.746 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.746 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.746 * [taylor]: Taking taylor expansion of x in x
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 1 into 1
7.746 * [backup-simplify]: Simplify (* 1 1) into 1
7.747 * [backup-simplify]: Simplify (/ 1 1) into 1
7.747 * [backup-simplify]: Simplify (+ 1 0) into 1
7.747 * [backup-simplify]: Simplify (+ 0 1) into 1
7.747 * [backup-simplify]: Simplify (/ 1 1) into 1
7.748 * [taylor]: Taking taylor expansion of 1 in y
7.748 * [backup-simplify]: Simplify 1 into 1
7.748 * [backup-simplify]: Simplify 1 into 1
7.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.749 * [backup-simplify]: Simplify (+ 0 0) into 0
7.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.750 * [backup-simplify]: Simplify (+ 0 0) into 0
7.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.750 * [taylor]: Taking taylor expansion of 0 in y
7.750 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify 0 into 0
7.750 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.751 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
7.751 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2)))
7.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.753 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
7.753 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
7.753 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
7.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
7.753 * [taylor]: Taking taylor expansion of 2 in y
7.753 * [backup-simplify]: Simplify 2 into 2
7.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.753 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.753 * [taylor]: Taking taylor expansion of y in y
7.753 * [backup-simplify]: Simplify 0 into 0
7.753 * [backup-simplify]: Simplify 1 into 1
7.754 * [backup-simplify]: Simplify (* 1 1) into 1
7.754 * [backup-simplify]: Simplify (/ 1 1) into 1
7.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.756 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.756 * [backup-simplify]: Simplify (- 0) into 0
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.758 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.758 * [backup-simplify]: Simplify (- 0) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.758 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
7.761 * [taylor]: Taking taylor expansion of 0 in y
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 1 into 1
7.761 * * * [progress]: simplifying candidates
7.762 * [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)))
  (/ (* x x) (+ (* x x) (* y y)))
  (/ (* 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)))
  (/ (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)))
  (/ 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)))
  (/ (+ 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 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)) 1)
  (/ (+ (* 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)))
  (/ (+ (* x x) (* y y)) (- x y))
  (/ (- (* x x) (* y y)) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (- (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  -1
  1
  1
7.764 * * [simplify]: iteration 0: 78 enodes
7.790 * * [simplify]: iteration 1: 216 enodes
7.836 * * [simplify]: iteration 2: 982 enodes
8.471 * * [simplify]: iteration complete: 5001 enodes
8.471 * * [simplify]: Extracting #0: cost 45 inf + 0
8.472 * * [simplify]: Extracting #1: cost 347 inf + 2
8.476 * * [simplify]: Extracting #2: cost 1546 inf + 2318
8.498 * * [simplify]: Extracting #3: cost 1253 inf + 94189
8.586 * * [simplify]: Extracting #4: cost 263 inf + 332290
8.685 * * [simplify]: Extracting #5: cost 26 inf + 407095
8.774 * * [simplify]: Extracting #6: cost 3 inf + 410787
8.898 * * [simplify]: Extracting #7: cost 0 inf + 411626
9.004 * [simplify]: Simplified to:
  (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))))
  (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))
  (+ (- (* x x)) (* y y))
  (- (+ (* y y) (* x x)))
  (/ (* x x) (+ (* x x) (* y y)))
  (/ (* y y) (+ (* x x) (* y y)))
  (* (/ (cbrt (* (- x y) (+ x y))) (cbrt (+ (* x x) (* y y)))) (/ (cbrt (* (- x y) (+ x y))) (cbrt (+ (* x x) (* y y)))))
  (/ (cbrt (* (- x y) (+ x y))) (cbrt (+ (* x x) (* y y))))
  (/ (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (sqrt (+ (* x x) (* y y))))
  (/ (cbrt (* (- x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
  (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y))))
  (/ (cbrt (* (- x y) (+ x y))) (+ (* x x) (* y y)))
  (/ (/ (sqrt (* (- x y) (+ x y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ (sqrt (* (- x y) (+ x y))) (cbrt (+ (* x x) (* y y))))
  (/ (sqrt (* (- x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
  (/ (sqrt (* (- x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (- x y) (+ x y)))
  (/ (sqrt (* (- x y) (+ x y))) (+ (* x x) (* y y)))
  (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (- (/ (* x x) (cbrt (+ (* x x) (* y y)))) (/ (* y y) (cbrt (+ (* x x) (* y y)))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (- (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* y y) (sqrt (+ (* x x) (* y y)))))
  1
  (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
  (/ (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (cbrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (+ x y)
  (/ (- x y) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (- (/ (* x x) (cbrt (+ (* x x) (* y y)))) (/ (* y y) (cbrt (+ (* x x) (* y y))))) (cbrt (+ (* x x) (* y y))))
  (- (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* y y) (sqrt (+ (* x x) (* y y)))))
  (* (- x y) (+ x y))
  (/ (+ (* x x) (* y y)) (cbrt (* (- 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))
  (- (/ (* x x) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))) (/ (* y y) (+ (* (* y (* y y)) (* y (* y y))) (* (* (* x x) (* x x)) (* x x)))))
  (/ (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)))
  (* (+ (* x x) (* y y)) (+ (* (+ (* x x) (* y y)) (* x x)) (* (* y y) (* y y))))
  (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
  -1
  1
  1
9.007 * * * [progress]: adding candidates to table
9.218 * [progress]: [Phase 3 of 3] Extracting.
9.218 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>)
9.218 * * * [regime-changes]: Trying 2 branch expressions: (y x)
9.218 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>)
9.275 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>)
9.322 * * * [regime]: Found split indices: #<option (#s(si 0 119) #s(si 2 220) #s(si 1 255))>
9.323 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>)
9.380 * [regimes]: Found splitpoints: (#s(sp 0 y -2.9269037547224618e-134) #s(sp 2 y 5.816163962969592e-162) #s(sp 1 y +nan.0)) , with alts (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* y y))) (* (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))))))>)
9.380 * [simplify]: Simplifying:
  (if (<= y -2.9269037547224618e-134) -1 (if (<= y 5.816163962969592e-162) 1 (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))))
9.381 * * [simplify]: iteration 0: 15 enodes
9.382 * * [simplify]: iteration 1: 18 enodes
9.383 * * [simplify]: iteration complete: 18 enodes
9.383 * * [simplify]: Extracting #0: cost 1 inf + 0
9.383 * * [simplify]: Extracting #1: cost 4 inf + 0
9.383 * * [simplify]: Extracting #2: cost 8 inf + 1
9.383 * * [simplify]: Extracting #3: cost 8 inf + 4
9.383 * * [simplify]: Extracting #4: cost 7 inf + 139
9.383 * * [simplify]: Extracting #5: cost 7 inf + 180
9.383 * * [simplify]: Extracting #6: cost 6 inf + 181
9.384 * * [simplify]: Extracting #7: cost 3 inf + 466
9.384 * * [simplify]: Extracting #8: cost 1 inf + 1002
9.384 * * [simplify]: Extracting #9: cost 0 inf + 1468
9.385 * [simplify]: Simplified to:
  (if (<= y -2.9269037547224618e-134) -1 (if (<= y 5.816163962969592e-162) 1 (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))))
10.993 * [regime-testing]: Baseline error score: 19.927961406281938
11.002 * [regime-testing]: Oracle error score: 0.5206735123800337
11.021 * [regime-testing]: End program error score: 8.034447524759498
11.110 * [regime-testing]: Target error score: 0.08818339167648363