46.147 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.043 * * * [progress]: [2/2] Setting up program.
0.050 * [progress]: [Phase 2 of 3] Improving.
0.050 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.050 * * [simplify]: iteration 0: 9 enodes
0.055 * * [simplify]: iteration 1: 22 enodes
0.074 * * [simplify]: iteration 2: 46 enodes
0.096 * * [simplify]: iteration 3: 95 enodes
0.159 * * [simplify]: iteration 4: 183 enodes
0.283 * * [simplify]: iteration 5: 346 enodes
0.529 * * [simplify]: iteration 6: 574 enodes
0.989 * * [simplify]: iteration 7: 1466 enodes
4.201 * * [simplify]: iteration complete: 5001 enodes
4.201 * * [simplify]: Extracting #0: cost 1 inf + 0
4.202 * * [simplify]: Extracting #1: cost 205 inf + 0
4.206 * * [simplify]: Extracting #2: cost 813 inf + 1
4.216 * * [simplify]: Extracting #3: cost 1482 inf + 4891
4.259 * * [simplify]: Extracting #4: cost 798 inf + 81907
4.331 * * [simplify]: Extracting #5: cost 250 inf + 194676
4.441 * * [simplify]: Extracting #6: cost 17 inf + 267186
4.560 * * [simplify]: Extracting #7: cost 0 inf + 272901
4.672 * [simplify]: Simplified to:
  (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
4.697 * * [progress]: iteration 1 / 4
4.697 * * * [progress]: picking best candidate
4.704 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))>
4.704 * * * [progress]: localizing error
4.734 * * * [progress]: generating rewritten candidates
4.734 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
4.770 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
4.810 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
4.967 * * * [progress]: generating series expansions
4.967 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
4.968 * [backup-simplify]: Simplify (/ (* y y) (+ (* y y) (* x x))) into (/ (pow y 2) (+ (pow x 2) (pow y 2)))
4.968 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in (y x) around 0
4.968 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in x
4.968 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.968 * [taylor]: Taking taylor expansion of y in x
4.968 * [backup-simplify]: Simplify y into y
4.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.968 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.968 * [taylor]: Taking taylor expansion of x in x
4.968 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify 1 into 1
4.968 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.968 * [taylor]: Taking taylor expansion of y in x
4.968 * [backup-simplify]: Simplify y into y
4.968 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.968 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.969 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.969 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
4.969 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in y
4.969 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.969 * [taylor]: Taking taylor expansion of y in y
4.969 * [backup-simplify]: Simplify 0 into 0
4.969 * [backup-simplify]: Simplify 1 into 1
4.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.969 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.969 * [taylor]: Taking taylor expansion of x in y
4.969 * [backup-simplify]: Simplify x into x
4.969 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.969 * [taylor]: Taking taylor expansion of y in y
4.969 * [backup-simplify]: Simplify 0 into 0
4.969 * [backup-simplify]: Simplify 1 into 1
4.970 * [backup-simplify]: Simplify (* 1 1) into 1
4.970 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.970 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.970 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.970 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in y
4.970 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.970 * [taylor]: Taking taylor expansion of y in y
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify 1 into 1
4.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.971 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.971 * [taylor]: Taking taylor expansion of x in y
4.971 * [backup-simplify]: Simplify x into x
4.971 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.971 * [taylor]: Taking taylor expansion of y in y
4.971 * [backup-simplify]: Simplify 0 into 0
4.971 * [backup-simplify]: Simplify 1 into 1
4.971 * [backup-simplify]: Simplify (* 1 1) into 1
4.971 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.972 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.972 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.972 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.972 * [taylor]: Taking taylor expansion of x in x
4.972 * [backup-simplify]: Simplify 0 into 0
4.972 * [backup-simplify]: Simplify 1 into 1
4.973 * [backup-simplify]: Simplify (* 1 1) into 1
4.973 * [backup-simplify]: Simplify (/ 1 1) into 1
4.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.977 * [backup-simplify]: Simplify 0 into 0
4.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.978 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.978 * [backup-simplify]: Simplify (+ 0 0) into 0
4.979 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.979 * [taylor]: Taking taylor expansion of 0 in x
4.979 * [backup-simplify]: Simplify 0 into 0
4.979 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.981 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.982 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.983 * [backup-simplify]: Simplify (* 1 1) into 1
4.983 * [backup-simplify]: Simplify (+ 0 1) into 1
4.984 * [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)))
4.984 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
4.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
4.984 * [taylor]: Taking taylor expansion of (pow x 4) in x
4.984 * [taylor]: Taking taylor expansion of x in x
4.984 * [backup-simplify]: Simplify 0 into 0
4.984 * [backup-simplify]: Simplify 1 into 1
4.985 * [backup-simplify]: Simplify (* 1 1) into 1
4.986 * [backup-simplify]: Simplify (* 1 1) into 1
4.986 * [backup-simplify]: Simplify (/ 1 1) into 1
4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.999 * [backup-simplify]: Simplify (- 0) into 0
4.999 * [backup-simplify]: Simplify 0 into 0
4.999 * [backup-simplify]: Simplify 0 into 0
5.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.001 * [backup-simplify]: Simplify 0 into 0
5.001 * [backup-simplify]: Simplify 0 into 0
5.002 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))
5.002 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in (y x) around 0
5.002 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
5.002 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
5.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.002 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.002 * [taylor]: Taking taylor expansion of x in x
5.002 * [backup-simplify]: Simplify 0 into 0
5.002 * [backup-simplify]: Simplify 1 into 1
5.003 * [backup-simplify]: Simplify (* 1 1) into 1
5.003 * [backup-simplify]: Simplify (/ 1 1) into 1
5.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.003 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.003 * [taylor]: Taking taylor expansion of y in x
5.003 * [backup-simplify]: Simplify y into y
5.004 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.004 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.004 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.004 * [taylor]: Taking taylor expansion of y in x
5.004 * [backup-simplify]: Simplify y into y
5.004 * [backup-simplify]: Simplify (+ 1 0) into 1
5.005 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.005 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
5.005 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.005 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
5.005 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
5.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.005 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.005 * [taylor]: Taking taylor expansion of x in y
5.005 * [backup-simplify]: Simplify x into x
5.005 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.005 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.005 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.005 * [taylor]: Taking taylor expansion of y in y
5.005 * [backup-simplify]: Simplify 0 into 0
5.005 * [backup-simplify]: Simplify 1 into 1
5.006 * [backup-simplify]: Simplify (* 1 1) into 1
5.006 * [backup-simplify]: Simplify (/ 1 1) into 1
5.006 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.006 * [taylor]: Taking taylor expansion of y in y
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify 1 into 1
5.007 * [backup-simplify]: Simplify (+ 0 1) into 1
5.007 * [backup-simplify]: Simplify (* 1 1) into 1
5.007 * [backup-simplify]: Simplify (* 1 1) into 1
5.008 * [backup-simplify]: Simplify (/ 1 1) into 1
5.008 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
5.008 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
5.008 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.008 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.008 * [taylor]: Taking taylor expansion of x in y
5.008 * [backup-simplify]: Simplify x into x
5.008 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.008 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.008 * [taylor]: Taking taylor expansion of y in y
5.008 * [backup-simplify]: Simplify 0 into 0
5.008 * [backup-simplify]: Simplify 1 into 1
5.009 * [backup-simplify]: Simplify (* 1 1) into 1
5.009 * [backup-simplify]: Simplify (/ 1 1) into 1
5.009 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.009 * [taylor]: Taking taylor expansion of y in y
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 1 into 1
5.010 * [backup-simplify]: Simplify (+ 0 1) into 1
5.010 * [backup-simplify]: Simplify (* 1 1) into 1
5.010 * [backup-simplify]: Simplify (* 1 1) into 1
5.011 * [backup-simplify]: Simplify (/ 1 1) into 1
5.011 * [taylor]: Taking taylor expansion of 1 in x
5.011 * [backup-simplify]: Simplify 1 into 1
5.011 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.014 * [backup-simplify]: Simplify (+ 0 0) into 0
5.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.016 * [taylor]: Taking taylor expansion of 0 in x
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify 0 into 0
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.020 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2))
5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
5.022 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
5.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.023 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.023 * [taylor]: Taking taylor expansion of x in x
5.023 * [backup-simplify]: Simplify 0 into 0
5.023 * [backup-simplify]: Simplify 1 into 1
5.023 * [backup-simplify]: Simplify (* 1 1) into 1
5.023 * [backup-simplify]: Simplify (/ 1 1) into 1
5.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.032 * [backup-simplify]: Simplify (- 0) into 0
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))
5.033 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in (y x) around 0
5.033 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
5.033 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
5.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.033 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.033 * [taylor]: Taking taylor expansion of x in x
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 1 into 1
5.034 * [backup-simplify]: Simplify (* 1 1) into 1
5.034 * [backup-simplify]: Simplify (/ 1 1) into 1
5.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.034 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.034 * [taylor]: Taking taylor expansion of y in x
5.034 * [backup-simplify]: Simplify y into y
5.035 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.035 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.035 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.035 * [taylor]: Taking taylor expansion of y in x
5.035 * [backup-simplify]: Simplify y into y
5.035 * [backup-simplify]: Simplify (+ 1 0) into 1
5.036 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.036 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
5.036 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.036 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
5.036 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
5.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.036 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.036 * [taylor]: Taking taylor expansion of x in y
5.036 * [backup-simplify]: Simplify x into x
5.036 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.037 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.037 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.037 * [taylor]: Taking taylor expansion of y in y
5.037 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify 1 into 1
5.037 * [backup-simplify]: Simplify (* 1 1) into 1
5.038 * [backup-simplify]: Simplify (/ 1 1) into 1
5.038 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.038 * [taylor]: Taking taylor expansion of y in y
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify 1 into 1
5.038 * [backup-simplify]: Simplify (+ 0 1) into 1
5.039 * [backup-simplify]: Simplify (* 1 1) into 1
5.039 * [backup-simplify]: Simplify (* 1 1) into 1
5.039 * [backup-simplify]: Simplify (/ 1 1) into 1
5.039 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
5.040 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
5.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.040 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.040 * [taylor]: Taking taylor expansion of x in y
5.040 * [backup-simplify]: Simplify x into x
5.040 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.040 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.040 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.040 * [taylor]: Taking taylor expansion of y in y
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.041 * [backup-simplify]: Simplify (* 1 1) into 1
5.041 * [backup-simplify]: Simplify (/ 1 1) into 1
5.041 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.041 * [taylor]: Taking taylor expansion of y in y
5.041 * [backup-simplify]: Simplify 0 into 0
5.041 * [backup-simplify]: Simplify 1 into 1
5.042 * [backup-simplify]: Simplify (+ 0 1) into 1
5.042 * [backup-simplify]: Simplify (* 1 1) into 1
5.042 * [backup-simplify]: Simplify (* 1 1) into 1
5.043 * [backup-simplify]: Simplify (/ 1 1) into 1
5.043 * [taylor]: Taking taylor expansion of 1 in x
5.043 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.045 * [backup-simplify]: Simplify (+ 0 0) into 0
5.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.047 * [taylor]: Taking taylor expansion of 0 in x
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.050 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
5.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2))
5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
5.052 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
5.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.052 * [taylor]: Taking taylor expansion of x in x
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify 1 into 1
5.053 * [backup-simplify]: Simplify (* 1 1) into 1
5.053 * [backup-simplify]: Simplify (/ 1 1) into 1
5.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.061 * [backup-simplify]: Simplify (- 0) into 0
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * [backup-simplify]: Simplify 0 into 0
5.061 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
5.062 * [backup-simplify]: Simplify (/ (* x x) (+ (* y y) (* x x))) into (/ (pow x 2) (+ (pow x 2) (pow y 2)))
5.062 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in (x y) around 0
5.062 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in y
5.062 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.062 * [taylor]: Taking taylor expansion of x in y
5.062 * [backup-simplify]: Simplify x into x
5.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.062 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.062 * [taylor]: Taking taylor expansion of x in y
5.062 * [backup-simplify]: Simplify x into x
5.062 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.062 * [taylor]: Taking taylor expansion of y in y
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [backup-simplify]: Simplify 1 into 1
5.062 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.062 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.062 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.063 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
5.063 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in x
5.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.063 * [taylor]: Taking taylor expansion of x in x
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.063 * [taylor]: Taking taylor expansion of x in x
5.063 * [backup-simplify]: Simplify 0 into 0
5.063 * [backup-simplify]: Simplify 1 into 1
5.063 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.063 * [taylor]: Taking taylor expansion of y in x
5.063 * [backup-simplify]: Simplify y into y
5.064 * [backup-simplify]: Simplify (* 1 1) into 1
5.064 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.064 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.064 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in x
5.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.064 * [taylor]: Taking taylor expansion of x in x
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify 1 into 1
5.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.064 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.064 * [taylor]: Taking taylor expansion of x in x
5.064 * [backup-simplify]: Simplify 0 into 0
5.064 * [backup-simplify]: Simplify 1 into 1
5.064 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.064 * [taylor]: Taking taylor expansion of y in x
5.064 * [backup-simplify]: Simplify y into y
5.065 * [backup-simplify]: Simplify (* 1 1) into 1
5.065 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.065 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.065 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.065 * [taylor]: Taking taylor expansion of y in y
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 1 into 1
5.066 * [backup-simplify]: Simplify (* 1 1) into 1
5.066 * [backup-simplify]: Simplify (/ 1 1) into 1
5.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.070 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.071 * [backup-simplify]: Simplify (+ 0 0) into 0
5.071 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.071 * [taylor]: Taking taylor expansion of 0 in y
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.074 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.075 * [backup-simplify]: Simplify (* 1 1) into 1
5.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.076 * [backup-simplify]: Simplify (+ 1 0) into 1
5.077 * [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)))
5.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
5.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.077 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.077 * [taylor]: Taking taylor expansion of y in y
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 1 into 1
5.077 * [backup-simplify]: Simplify (* 1 1) into 1
5.078 * [backup-simplify]: Simplify (* 1 1) into 1
5.078 * [backup-simplify]: Simplify (/ 1 1) into 1
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.091 * [backup-simplify]: Simplify (- 0) into 0
5.091 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.123 * [backup-simplify]: Simplify 0 into 0
5.123 * [backup-simplify]: Simplify 0 into 0
5.123 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
5.123 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
5.124 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
5.124 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.124 * [taylor]: Taking taylor expansion of x in y
5.124 * [backup-simplify]: Simplify x into x
5.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.124 * [taylor]: Taking taylor expansion of x in y
5.124 * [backup-simplify]: Simplify x into x
5.124 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.124 * [taylor]: Taking taylor expansion of y in y
5.124 * [backup-simplify]: Simplify 0 into 0
5.124 * [backup-simplify]: Simplify 1 into 1
5.125 * [backup-simplify]: Simplify (* 1 1) into 1
5.125 * [backup-simplify]: Simplify (/ 1 1) into 1
5.125 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.126 * [backup-simplify]: Simplify (+ 0 1) into 1
5.126 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.126 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.126 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.126 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.126 * [taylor]: Taking taylor expansion of x in x
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.126 * [taylor]: Taking taylor expansion of x in x
5.126 * [backup-simplify]: Simplify 0 into 0
5.126 * [backup-simplify]: Simplify 1 into 1
5.127 * [backup-simplify]: Simplify (* 1 1) into 1
5.127 * [backup-simplify]: Simplify (/ 1 1) into 1
5.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.127 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.127 * [taylor]: Taking taylor expansion of y in x
5.127 * [backup-simplify]: Simplify y into y
5.127 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.128 * [backup-simplify]: Simplify (* 1 1) into 1
5.128 * [backup-simplify]: Simplify (+ 1 0) into 1
5.128 * [backup-simplify]: Simplify (* 1 1) into 1
5.129 * [backup-simplify]: Simplify (/ 1 1) into 1
5.129 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.129 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.129 * [taylor]: Taking taylor expansion of x in x
5.129 * [backup-simplify]: Simplify 0 into 0
5.129 * [backup-simplify]: Simplify 1 into 1
5.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.129 * [taylor]: Taking taylor expansion of x in x
5.129 * [backup-simplify]: Simplify 0 into 0
5.129 * [backup-simplify]: Simplify 1 into 1
5.130 * [backup-simplify]: Simplify (* 1 1) into 1
5.130 * [backup-simplify]: Simplify (/ 1 1) into 1
5.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.130 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.130 * [taylor]: Taking taylor expansion of y in x
5.130 * [backup-simplify]: Simplify y into y
5.130 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.130 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.131 * [backup-simplify]: Simplify (* 1 1) into 1
5.131 * [backup-simplify]: Simplify (+ 1 0) into 1
5.132 * [backup-simplify]: Simplify (* 1 1) into 1
5.132 * [backup-simplify]: Simplify (/ 1 1) into 1
5.132 * [taylor]: Taking taylor expansion of 1 in y
5.132 * [backup-simplify]: Simplify 1 into 1
5.132 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.134 * [backup-simplify]: Simplify (+ 0 0) into 0
5.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.136 * [taylor]: Taking taylor expansion of 0 in y
5.136 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify 0 into 0
5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.139 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.141 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
5.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
5.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.142 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.142 * [taylor]: Taking taylor expansion of y in y
5.142 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify 1 into 1
5.142 * [backup-simplify]: Simplify (* 1 1) into 1
5.143 * [backup-simplify]: Simplify (/ 1 1) into 1
5.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.151 * [backup-simplify]: Simplify (- 0) into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
5.152 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
5.152 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
5.152 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.152 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.152 * [taylor]: Taking taylor expansion of x in y
5.152 * [backup-simplify]: Simplify x into x
5.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.152 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.152 * [taylor]: Taking taylor expansion of x in y
5.152 * [backup-simplify]: Simplify x into x
5.152 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.152 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.152 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.152 * [taylor]: Taking taylor expansion of y in y
5.152 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify 1 into 1
5.153 * [backup-simplify]: Simplify (* 1 1) into 1
5.153 * [backup-simplify]: Simplify (/ 1 1) into 1
5.153 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.154 * [backup-simplify]: Simplify (+ 0 1) into 1
5.154 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.154 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.154 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.154 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.154 * [taylor]: Taking taylor expansion of x in x
5.154 * [backup-simplify]: Simplify 0 into 0
5.154 * [backup-simplify]: Simplify 1 into 1
5.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.154 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.155 * [taylor]: Taking taylor expansion of x in x
5.155 * [backup-simplify]: Simplify 0 into 0
5.155 * [backup-simplify]: Simplify 1 into 1
5.155 * [backup-simplify]: Simplify (* 1 1) into 1
5.155 * [backup-simplify]: Simplify (/ 1 1) into 1
5.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.155 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.155 * [taylor]: Taking taylor expansion of y in x
5.155 * [backup-simplify]: Simplify y into y
5.156 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.156 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.156 * [backup-simplify]: Simplify (* 1 1) into 1
5.157 * [backup-simplify]: Simplify (+ 1 0) into 1
5.157 * [backup-simplify]: Simplify (* 1 1) into 1
5.157 * [backup-simplify]: Simplify (/ 1 1) into 1
5.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.158 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.158 * [taylor]: Taking taylor expansion of x in x
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify 1 into 1
5.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.158 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.158 * [taylor]: Taking taylor expansion of x in x
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify 1 into 1
5.158 * [backup-simplify]: Simplify (* 1 1) into 1
5.159 * [backup-simplify]: Simplify (/ 1 1) into 1
5.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.159 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.159 * [taylor]: Taking taylor expansion of y in x
5.159 * [backup-simplify]: Simplify y into y
5.159 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.159 * [backup-simplify]: Simplify (* 1 1) into 1
5.160 * [backup-simplify]: Simplify (+ 1 0) into 1
5.160 * [backup-simplify]: Simplify (* 1 1) into 1
5.161 * [backup-simplify]: Simplify (/ 1 1) into 1
5.161 * [taylor]: Taking taylor expansion of 1 in y
5.161 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.163 * [backup-simplify]: Simplify (+ 0 0) into 0
5.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.165 * [taylor]: Taking taylor expansion of 0 in y
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify 0 into 0
5.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.168 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
5.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
5.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.169 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.169 * [taylor]: Taking taylor expansion of y in y
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.170 * [backup-simplify]: Simplify (* 1 1) into 1
5.170 * [backup-simplify]: Simplify (/ 1 1) into 1
5.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.177 * [backup-simplify]: Simplify (- 0) into 0
5.177 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * [backup-simplify]: Simplify 0 into 0
5.178 * * * * [progress]: [ 3 / 3 ] generating series at (2)
5.178 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) into (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2))))
5.178 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in (x y) around 0
5.179 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in y
5.179 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in y
5.179 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.179 * [taylor]: Taking taylor expansion of x in y
5.179 * [backup-simplify]: Simplify x into x
5.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.179 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.179 * [taylor]: Taking taylor expansion of x in y
5.179 * [backup-simplify]: Simplify x into x
5.179 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.179 * [taylor]: Taking taylor expansion of y in y
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [backup-simplify]: Simplify 1 into 1
5.179 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.179 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.179 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.179 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
5.179 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in y
5.179 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.179 * [taylor]: Taking taylor expansion of y in y
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify 1 into 1
5.180 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.180 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.180 * [taylor]: Taking taylor expansion of x in y
5.180 * [backup-simplify]: Simplify x into x
5.180 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.180 * [taylor]: Taking taylor expansion of y in y
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify 1 into 1
5.180 * [backup-simplify]: Simplify (* 1 1) into 1
5.180 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.180 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.181 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in x
5.181 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in x
5.181 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.181 * [taylor]: Taking taylor expansion of x in x
5.181 * [backup-simplify]: Simplify 0 into 0
5.181 * [backup-simplify]: Simplify 1 into 1
5.181 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.181 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.181 * [taylor]: Taking taylor expansion of x in x
5.181 * [backup-simplify]: Simplify 0 into 0
5.181 * [backup-simplify]: Simplify 1 into 1
5.181 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.181 * [taylor]: Taking taylor expansion of y in x
5.181 * [backup-simplify]: Simplify y into y
5.181 * [backup-simplify]: Simplify (* 1 1) into 1
5.181 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.181 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.182 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.182 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in x
5.182 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.182 * [taylor]: Taking taylor expansion of y in x
5.182 * [backup-simplify]: Simplify y into y
5.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.182 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.182 * [taylor]: Taking taylor expansion of x in x
5.182 * [backup-simplify]: Simplify 0 into 0
5.182 * [backup-simplify]: Simplify 1 into 1
5.182 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.182 * [taylor]: Taking taylor expansion of y in x
5.182 * [backup-simplify]: Simplify y into y
5.182 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.182 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.182 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.183 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
5.183 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in x
5.183 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in x
5.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.183 * [taylor]: Taking taylor expansion of x in x
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify 1 into 1
5.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.183 * [taylor]: Taking taylor expansion of x in x
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify 1 into 1
5.183 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.183 * [taylor]: Taking taylor expansion of y in x
5.183 * [backup-simplify]: Simplify y into y
5.184 * [backup-simplify]: Simplify (* 1 1) into 1
5.184 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.184 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.184 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in x
5.184 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.184 * [taylor]: Taking taylor expansion of y in x
5.184 * [backup-simplify]: Simplify y into y
5.184 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.184 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.184 * [taylor]: Taking taylor expansion of x in x
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 1 into 1
5.185 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.185 * [taylor]: Taking taylor expansion of y in x
5.185 * [backup-simplify]: Simplify y into y
5.185 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.185 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.185 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.185 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
5.186 * [backup-simplify]: Simplify (- 1) into -1
5.186 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.186 * [taylor]: Taking taylor expansion of -1 in y
5.186 * [backup-simplify]: Simplify -1 into -1
5.186 * [backup-simplify]: Simplify -1 into -1
5.186 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.187 * [backup-simplify]: Simplify (+ 0 0) into 0
5.187 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0
5.188 * [backup-simplify]: Simplify (- 0) into 0
5.188 * [backup-simplify]: Simplify (+ 0 0) into 0
5.188 * [taylor]: Taking taylor expansion of 0 in y
5.188 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify 0 into 0
5.189 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.189 * [backup-simplify]: Simplify (* 1 1) into 1
5.190 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.190 * [backup-simplify]: Simplify (+ 1 0) into 1
5.191 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2)))
5.191 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2))
5.191 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
5.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.191 * [taylor]: Taking taylor expansion of 2 in y
5.191 * [backup-simplify]: Simplify 2 into 2
5.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.191 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.191 * [taylor]: Taking taylor expansion of y in y
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 1 into 1
5.192 * [backup-simplify]: Simplify (* 1 1) into 1
5.192 * [backup-simplify]: Simplify (/ 1 1) into 1
5.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.197 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify 0 into 0
5.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.198 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.199 * [backup-simplify]: Simplify (+ 0 0) into 0
5.199 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.200 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.202 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.202 * [backup-simplify]: Simplify (+ 0 0) into 0
5.203 * [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
5.204 * [backup-simplify]: Simplify (- 0) into 0
5.204 * [backup-simplify]: Simplify (+ 0 0) into 0
5.204 * [taylor]: Taking taylor expansion of 0 in y
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [backup-simplify]: Simplify -1 into -1
5.205 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))))
5.205 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in (x y) around 0
5.205 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in y
5.205 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
5.205 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.205 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.205 * [taylor]: Taking taylor expansion of x in y
5.205 * [backup-simplify]: Simplify x into x
5.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.205 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.205 * [taylor]: Taking taylor expansion of x in y
5.206 * [backup-simplify]: Simplify x into x
5.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.206 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.206 * [taylor]: Taking taylor expansion of y in y
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 1 into 1
5.206 * [backup-simplify]: Simplify (* 1 1) into 1
5.207 * [backup-simplify]: Simplify (/ 1 1) into 1
5.207 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.207 * [backup-simplify]: Simplify (+ 0 1) into 1
5.207 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.208 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.208 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
5.208 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
5.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.208 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.208 * [taylor]: Taking taylor expansion of x in y
5.208 * [backup-simplify]: Simplify x into x
5.208 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.208 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.208 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.208 * [taylor]: Taking taylor expansion of y in y
5.208 * [backup-simplify]: Simplify 0 into 0
5.208 * [backup-simplify]: Simplify 1 into 1
5.209 * [backup-simplify]: Simplify (* 1 1) into 1
5.209 * [backup-simplify]: Simplify (/ 1 1) into 1
5.209 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.209 * [taylor]: Taking taylor expansion of y in y
5.209 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify 1 into 1
5.209 * [backup-simplify]: Simplify (+ 0 1) into 1
5.210 * [backup-simplify]: Simplify (* 1 1) into 1
5.210 * [backup-simplify]: Simplify (* 1 1) into 1
5.211 * [backup-simplify]: Simplify (/ 1 1) into 1
5.211 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
5.211 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.211 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.211 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.211 * [taylor]: Taking taylor expansion of x in x
5.211 * [backup-simplify]: Simplify 0 into 0
5.211 * [backup-simplify]: Simplify 1 into 1
5.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.211 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.211 * [taylor]: Taking taylor expansion of x in x
5.211 * [backup-simplify]: Simplify 0 into 0
5.211 * [backup-simplify]: Simplify 1 into 1
5.211 * [backup-simplify]: Simplify (* 1 1) into 1
5.212 * [backup-simplify]: Simplify (/ 1 1) into 1
5.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.212 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.212 * [taylor]: Taking taylor expansion of y in x
5.212 * [backup-simplify]: Simplify y into y
5.212 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.212 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.213 * [backup-simplify]: Simplify (* 1 1) into 1
5.213 * [backup-simplify]: Simplify (+ 1 0) into 1
5.213 * [backup-simplify]: Simplify (* 1 1) into 1
5.214 * [backup-simplify]: Simplify (/ 1 1) into 1
5.214 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
5.214 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
5.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.214 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.214 * [taylor]: Taking taylor expansion of x in x
5.214 * [backup-simplify]: Simplify 0 into 0
5.214 * [backup-simplify]: Simplify 1 into 1
5.214 * [backup-simplify]: Simplify (* 1 1) into 1
5.215 * [backup-simplify]: Simplify (/ 1 1) into 1
5.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.215 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.215 * [taylor]: Taking taylor expansion of y in x
5.215 * [backup-simplify]: Simplify y into y
5.215 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.215 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.215 * [taylor]: Taking taylor expansion of y in x
5.215 * [backup-simplify]: Simplify y into y
5.216 * [backup-simplify]: Simplify (+ 1 0) into 1
5.216 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.216 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
5.216 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.216 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
5.216 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.216 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.216 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.216 * [taylor]: Taking taylor expansion of x in x
5.216 * [backup-simplify]: Simplify 0 into 0
5.216 * [backup-simplify]: Simplify 1 into 1
5.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.216 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.217 * [taylor]: Taking taylor expansion of x in x
5.217 * [backup-simplify]: Simplify 0 into 0
5.217 * [backup-simplify]: Simplify 1 into 1
5.217 * [backup-simplify]: Simplify (* 1 1) into 1
5.217 * [backup-simplify]: Simplify (/ 1 1) into 1
5.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.217 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.217 * [taylor]: Taking taylor expansion of y in x
5.218 * [backup-simplify]: Simplify y into y
5.218 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.218 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.218 * [backup-simplify]: Simplify (* 1 1) into 1
5.219 * [backup-simplify]: Simplify (+ 1 0) into 1
5.219 * [backup-simplify]: Simplify (* 1 1) into 1
5.219 * [backup-simplify]: Simplify (/ 1 1) into 1
5.219 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
5.219 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.220 * [taylor]: Taking taylor expansion of x in x
5.220 * [backup-simplify]: Simplify 0 into 0
5.220 * [backup-simplify]: Simplify 1 into 1
5.220 * [backup-simplify]: Simplify (* 1 1) into 1
5.220 * [backup-simplify]: Simplify (/ 1 1) into 1
5.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.220 * [taylor]: Taking taylor expansion of y in x
5.221 * [backup-simplify]: Simplify y into y
5.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.221 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.221 * [taylor]: Taking taylor expansion of y in x
5.221 * [backup-simplify]: Simplify y into y
5.221 * [backup-simplify]: Simplify (+ 1 0) into 1
5.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.222 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
5.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.222 * [backup-simplify]: Simplify (+ 1 0) into 1
5.222 * [taylor]: Taking taylor expansion of 1 in y
5.222 * [backup-simplify]: Simplify 1 into 1
5.222 * [backup-simplify]: Simplify 1 into 1
5.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.224 * [backup-simplify]: Simplify (+ 0 0) into 0
5.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.226 * [backup-simplify]: Simplify (+ 0 0) into 0
5.227 * [taylor]: Taking taylor expansion of 0 in y
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify 0 into 0
5.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.229 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.231 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
5.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
5.232 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
5.232 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
5.232 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
5.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.232 * [taylor]: Taking taylor expansion of 2 in y
5.232 * [backup-simplify]: Simplify 2 into 2
5.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.232 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.232 * [taylor]: Taking taylor expansion of y in y
5.232 * [backup-simplify]: Simplify 0 into 0
5.232 * [backup-simplify]: Simplify 1 into 1
5.233 * [backup-simplify]: Simplify (* 1 1) into 1
5.233 * [backup-simplify]: Simplify (/ 1 1) into 1
5.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.237 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.238 * [backup-simplify]: Simplify (- 0) into 0
5.238 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify 0 into 0
5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.240 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.241 * [backup-simplify]: Simplify (+ 0 0) into 0
5.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
5.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.249 * [backup-simplify]: Simplify (+ 0 0) into 0
5.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
5.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.251 * [backup-simplify]: Simplify (- 0) into 0
5.251 * [backup-simplify]: Simplify (+ 0 0) into 0
5.251 * [taylor]: Taking taylor expansion of 0 in y
5.251 * [backup-simplify]: Simplify 0 into 0
5.251 * [backup-simplify]: Simplify 0 into 0
5.251 * [backup-simplify]: Simplify 1 into 1
5.252 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))))
5.252 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in (x y) around 0
5.253 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in y
5.253 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
5.253 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.253 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.253 * [taylor]: Taking taylor expansion of x in y
5.253 * [backup-simplify]: Simplify x into x
5.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.253 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.253 * [taylor]: Taking taylor expansion of x in y
5.253 * [backup-simplify]: Simplify x into x
5.253 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.253 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.253 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.253 * [taylor]: Taking taylor expansion of y in y
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 1 into 1
5.254 * [backup-simplify]: Simplify (* 1 1) into 1
5.254 * [backup-simplify]: Simplify (/ 1 1) into 1
5.254 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.255 * [backup-simplify]: Simplify (+ 0 1) into 1
5.255 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
5.255 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.255 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
5.255 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
5.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.255 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.255 * [taylor]: Taking taylor expansion of x in y
5.255 * [backup-simplify]: Simplify x into x
5.255 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.256 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.256 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.256 * [taylor]: Taking taylor expansion of y in y
5.256 * [backup-simplify]: Simplify 0 into 0
5.256 * [backup-simplify]: Simplify 1 into 1
5.256 * [backup-simplify]: Simplify (* 1 1) into 1
5.256 * [backup-simplify]: Simplify (/ 1 1) into 1
5.257 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.257 * [taylor]: Taking taylor expansion of y in y
5.257 * [backup-simplify]: Simplify 0 into 0
5.257 * [backup-simplify]: Simplify 1 into 1
5.257 * [backup-simplify]: Simplify (+ 0 1) into 1
5.257 * [backup-simplify]: Simplify (* 1 1) into 1
5.258 * [backup-simplify]: Simplify (* 1 1) into 1
5.258 * [backup-simplify]: Simplify (/ 1 1) into 1
5.258 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
5.258 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.258 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.258 * [taylor]: Taking taylor expansion of x in x
5.258 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify 1 into 1
5.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.259 * [taylor]: Taking taylor expansion of x in x
5.259 * [backup-simplify]: Simplify 0 into 0
5.259 * [backup-simplify]: Simplify 1 into 1
5.259 * [backup-simplify]: Simplify (* 1 1) into 1
5.259 * [backup-simplify]: Simplify (/ 1 1) into 1
5.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.259 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.259 * [taylor]: Taking taylor expansion of y in x
5.259 * [backup-simplify]: Simplify y into y
5.260 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.260 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.260 * [backup-simplify]: Simplify (* 1 1) into 1
5.261 * [backup-simplify]: Simplify (+ 1 0) into 1
5.261 * [backup-simplify]: Simplify (* 1 1) into 1
5.261 * [backup-simplify]: Simplify (/ 1 1) into 1
5.261 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
5.261 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
5.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.261 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.262 * [taylor]: Taking taylor expansion of x in x
5.262 * [backup-simplify]: Simplify 0 into 0
5.262 * [backup-simplify]: Simplify 1 into 1
5.262 * [backup-simplify]: Simplify (* 1 1) into 1
5.262 * [backup-simplify]: Simplify (/ 1 1) into 1
5.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.262 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.262 * [taylor]: Taking taylor expansion of y in x
5.262 * [backup-simplify]: Simplify y into y
5.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.263 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.263 * [taylor]: Taking taylor expansion of y in x
5.263 * [backup-simplify]: Simplify y into y
5.263 * [backup-simplify]: Simplify (+ 1 0) into 1
5.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.264 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
5.264 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.264 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
5.264 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.264 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.264 * [taylor]: Taking taylor expansion of x in x
5.264 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify 1 into 1
5.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.264 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.264 * [taylor]: Taking taylor expansion of x in x
5.264 * [backup-simplify]: Simplify 0 into 0
5.264 * [backup-simplify]: Simplify 1 into 1
5.265 * [backup-simplify]: Simplify (* 1 1) into 1
5.265 * [backup-simplify]: Simplify (/ 1 1) into 1
5.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.265 * [taylor]: Taking taylor expansion of y in x
5.266 * [backup-simplify]: Simplify y into y
5.266 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.266 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.266 * [backup-simplify]: Simplify (* 1 1) into 1
5.267 * [backup-simplify]: Simplify (+ 1 0) into 1
5.267 * [backup-simplify]: Simplify (* 1 1) into 1
5.268 * [backup-simplify]: Simplify (/ 1 1) into 1
5.268 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
5.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
5.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.268 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.268 * [taylor]: Taking taylor expansion of x in x
5.268 * [backup-simplify]: Simplify 0 into 0
5.268 * [backup-simplify]: Simplify 1 into 1
5.268 * [backup-simplify]: Simplify (* 1 1) into 1
5.269 * [backup-simplify]: Simplify (/ 1 1) into 1
5.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.269 * [taylor]: Taking taylor expansion of y in x
5.269 * [backup-simplify]: Simplify y into y
5.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.269 * [taylor]: Taking taylor expansion of y in x
5.269 * [backup-simplify]: Simplify y into y
5.270 * [backup-simplify]: Simplify (+ 1 0) into 1
5.270 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.270 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
5.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.271 * [backup-simplify]: Simplify (+ 1 0) into 1
5.271 * [taylor]: Taking taylor expansion of 1 in y
5.271 * [backup-simplify]: Simplify 1 into 1
5.271 * [backup-simplify]: Simplify 1 into 1
5.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.274 * [backup-simplify]: Simplify (+ 0 0) into 0
5.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.277 * [backup-simplify]: Simplify (+ 0 0) into 0
5.277 * [taylor]: Taking taylor expansion of 0 in y
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.277 * [backup-simplify]: Simplify 0 into 0
5.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.280 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.282 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
5.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
5.283 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
5.283 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
5.283 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
5.283 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.283 * [taylor]: Taking taylor expansion of 2 in y
5.283 * [backup-simplify]: Simplify 2 into 2
5.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.284 * [taylor]: Taking taylor expansion of y in y
5.284 * [backup-simplify]: Simplify 0 into 0
5.284 * [backup-simplify]: Simplify 1 into 1
5.284 * [backup-simplify]: Simplify (* 1 1) into 1
5.284 * [backup-simplify]: Simplify (/ 1 1) into 1
5.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.289 * [backup-simplify]: Simplify (- 0) into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.297 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.298 * [backup-simplify]: Simplify (+ 0 0) into 0
5.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
5.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.304 * [backup-simplify]: Simplify (+ 0 0) into 0
5.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
5.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.305 * [backup-simplify]: Simplify (- 0) into 0
5.305 * [backup-simplify]: Simplify (+ 0 0) into 0
5.305 * [taylor]: Taking taylor expansion of 0 in y
5.305 * [backup-simplify]: Simplify 0 into 0
5.305 * [backup-simplify]: Simplify 0 into 0
5.305 * [backup-simplify]: Simplify 1 into 1
5.305 * * * [progress]: simplifying candidates
5.308 * [simplify]: Simplifying:
  (- (+ (log y) (log y)) (log (+ (* y y) (* x x))))
  (- (log (* y y)) (log (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* y y) (+ (* 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))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (+ (* y y) (* x x)))
  (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y 1)
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (/ (* y y) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (/ (* y y) 1)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3)))
  (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x))))
  (- (+ (log x) (log x)) (log (+ (* y y) (* x x))))
  (- (log (* x x)) (log (+ (* y y) (* x x))))
  (log (/ (* x x) (+ (* y y) (* x x))))
  (exp (/ (* 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) (* x x))))
  (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x)))))
  (cbrt (/ (* x x) (+ (* y y) (* x x))))
  (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))
  (sqrt (/ (* x x) (+ (* y y) (* x x))))
  (sqrt (/ (* x x) (+ (* y y) (* x x))))
  (- (* x x))
  (- (+ (* y y) (* x x)))
  (/ x (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (/ x (cbrt (+ (* y y) (* x x))))
  (/ x (sqrt (+ (* y y) (* x x))))
  (/ x (sqrt (+ (* y y) (* x x))))
  (/ x 1)
  (/ x (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* x x))
  (/ (* x x) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (/ (* x x) (sqrt (+ (* y y) (* x x))))
  (/ (* x x) 1)
  (/ (+ (* y y) (* x x)) x)
  (/ (* x x) (+ (pow (* y y) 3) (pow (* x x) 3)))
  (/ (* x x) (- (* (* y y) (* y y)) (* (* x x) (* x x))))
  (/ (exp (/ (* x x) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x)))))
  (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
  (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (* (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (- (* x x) (* y y))
  (- (* (* x x) (+ (* y y) (* x x))) (* (+ (* y y) (* x x)) (* y y)))
  (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))
  (- (pow (/ (* x x) (+ (* y y) (* x x))) 3) (pow (/ (* y y) (+ (* y y) (* x x))) 3))
  (+ (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (+ (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
  (- (/ (* y y) (+ (* y y) (* x x))))
  (- (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
  (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))
  (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))
  (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))
  (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))
  (+ (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
  (- (* x x) (* y y))
  (- (/ (* x x) (+ (pow (* y y) 3) (pow (* x x) 3))) (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3))))
  (- (/ (* x x) (- (* (* y y) (* y y)) (* (* x x) (* x x)))) (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))))
  (- (/ (* y y) (+ (* y y) (* x x))))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
5.311 * * [simplify]: iteration 0: 117 enodes
5.367 * * [simplify]: iteration 1: 373 enodes
5.781 * * [simplify]: iteration 2: 1551 enodes
7.151 * * [simplify]: iteration complete: 5001 enodes
7.151 * * [simplify]: Extracting #0: cost 68 inf + 0
7.161 * * [simplify]: Extracting #1: cost 802 inf + 46
7.171 * * [simplify]: Extracting #2: cost 1510 inf + 7899
7.197 * * [simplify]: Extracting #3: cost 1315 inf + 66686
7.278 * * [simplify]: Extracting #4: cost 421 inf + 279221
7.410 * * [simplify]: Extracting #5: cost 51 inf + 377815
7.551 * * [simplify]: Extracting #6: cost 6 inf + 390237
7.695 * * [simplify]: Extracting #7: cost 0 inf + 391995
7.864 * [simplify]: Simplified to:
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (log (/ (* y y) (+ (* y y) (* x x))))
  (exp (/ (* y y) (+ (* y y) (* x x))))
  (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x))))
  (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x))))
  (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x)))))
  (cbrt (/ (* y y) (+ (* y y) (* x x))))
  (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (sqrt (/ (* y y) (+ (* y y) (* x x))))
  (- (* y y))
  (- (- (* y y)) (* x x))
  (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ y (cbrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  (/ y (sqrt (+ (* y y) (* x x))))
  y
  (/ y (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* y y))
  (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))))
  (/ (* y y) (sqrt (+ (* y y) (* x x))))
  (* y y)
  (/ (+ (* y y) (* x x)) y)
  (/ (* y y) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x))))
  (/ (* y y) (* (- (* y y) (* x x)) (+ (* y y) (* x x))))
  (log (/ (* x x) (+ (* y y) (* x x))))
  (log (/ (* x x) (+ (* y y) (* x x))))
  (log (/ (* x x) (+ (* y y) (* x x))))
  (exp (/ (* x x) (+ (* y y) (* x x))))
  (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))
  (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))
  (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x)))))
  (cbrt (/ (* x x) (+ (* y y) (* x x))))
  (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x))))
  (sqrt (/ (* x x) (+ (* y y) (* x x))))
  (sqrt (/ (* x x) (+ (* y y) (* x x))))
  (* x (- x))
  (- (- (* y y)) (* x x))
  (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))))
  (/ x (cbrt (+ (* y y) (* x x))))
  (/ x (sqrt (+ (* y y) (* x x))))
  (/ x (sqrt (+ (* y y) (* x x))))
  x
  (/ x (+ (* y y) (* x x)))
  (/ 1 (+ (* y y) (* x x)))
  (/ (+ (* y y) (* x x)) (* x x))
  (* (/ x (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* y y) (* x x)))))
  (/ (* x x) (sqrt (+ (* y y) (* x x))))
  (* x x)
  (/ (+ (* y y) (* x x)) x)
  (/ (* x x) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) (* x x)) (* x x))))
  (/ (/ (* x x) (+ (* y y) (* x x))) (- (* y y) (* x x)))
  (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
  (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
  (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (- (* x x) (* y y))
  (* (+ (* 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) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))))
  (+ (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))
  (/ (- (* y y)) (+ (* y y) (* x x)))
  (* (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))
  (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
  (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))
  (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))
  (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (+ (sqrt (/ (* y y) (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))))
  (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))))
  (+ (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))))
  (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))
  (- (* x 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) (+ (* y y) (* x x))) (- (* y y) (* x x))) (/ (* y y) (* (- (* y y) (* x x)) (+ (* y y) (* x x)))))
  (/ (- (* y y)) (+ (* y y) (* x x)))
  0
  0
  0
  0
  0
  0
  -1
  1
  1
7.873 * * * [progress]: adding candidates to table
8.428 * * [progress]: iteration 2 / 4
8.428 * * * [progress]: picking best candidate
8.440 * * * * [pick]: Picked  #<alt (λ (x y) -1)>
8.440 * * * [progress]: localizing error
8.441 * * * [progress]: generating rewritten candidates
8.441 * * * [progress]: generating series expansions
8.441 * * * [progress]: simplifying candidates
8.442 * [simplify]: Simplifying:
  
8.442 * * [simplify]: iteration 0: 0 enodes
8.442 * * [simplify]: iteration complete: 0 enodes
8.442 * * [simplify]: Extracting #0: cost 0 inf + 0
8.442 * [simplify]: Simplified to:
  
8.442 * * * [progress]: adding candidates to table
8.443 * * [progress]: iteration 3 / 4
8.443 * * * [progress]: picking best candidate
8.449 * * * * [pick]: Picked  #<alt (λ (x y) 1)>
8.449 * * * [progress]: localizing error
8.450 * * * [progress]: generating rewritten candidates
8.450 * * * [progress]: generating series expansions
8.450 * * * [progress]: simplifying candidates
8.450 * [simplify]: Simplifying:
  
8.450 * * [simplify]: iteration 0: 0 enodes
8.450 * * [simplify]: iteration complete: 0 enodes
8.450 * * [simplify]: Extracting #0: cost 0 inf + 0
8.450 * [simplify]: Simplified to:
  
8.450 * * * [progress]: adding candidates to table
8.452 * [progress]: [Phase 3 of 3] Extracting.
8.452 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))> #<alt (λ (x y) 1)>)
8.452 * * * [regime-changes]: Trying 2 branch expressions: (y x)
8.452 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))> #<alt (λ (x y) 1)>)
8.558 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) -1)> #<alt (λ (x y) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))> #<alt (λ (x y) 1)>)
8.635 * * * [regime]: Found split indices: #<option (#s(si 0 38) #s(si 1 145) #s(si 2 197) #s(si 0 210) #s(si 1 255))>
8.636 * [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) (+ (* y y) (* x x)))))> #<alt (λ (x y) 1)>)
8.815 * [regimes]: Found splitpoints: (#s(sp 0 y -9.553125844209864e+153) #s(sp 1 y -2.262962472101785e-159) #s(sp 2 y 4.982414937133198e-223) #s(sp 0 y 4.7445413372194213e-178) #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) (+ (* y y) (* x x)))))> #<alt (λ (x y) 1)>)
8.816 * [simplify]: Simplifying:
  (if (<= y -9.553125844209864e+153) -1 (if (<= y -2.262962472101785e-159) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (if (<= y 4.982414937133198e-223) 1 (if (<= y 4.7445413372194213e-178) -1 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))))
8.816 * * [simplify]: iteration 0: 22 enodes
8.819 * * [simplify]: iteration 1: 25 enodes
8.821 * * [simplify]: iteration complete: 25 enodes
8.821 * * [simplify]: Extracting #0: cost 1 inf + 0
8.821 * * [simplify]: Extracting #1: cost 4 inf + 0
8.821 * * [simplify]: Extracting #2: cost 8 inf + 1
8.821 * * [simplify]: Extracting #3: cost 11 inf + 70
8.821 * * [simplify]: Extracting #4: cost 13 inf + 139
8.821 * * [simplify]: Extracting #5: cost 13 inf + 181
8.821 * * [simplify]: Extracting #6: cost 6 inf + 642
8.822 * * [simplify]: Extracting #7: cost 3 inf + 1420
8.822 * * [simplify]: Extracting #8: cost 1 inf + 2563
8.823 * * [simplify]: Extracting #9: cost 0 inf + 3331
8.824 * [simplify]: Simplified to:
  (if (<= y -9.553125844209864e+153) -1 (if (<= y -2.262962472101785e-159) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (if (<= y 4.982414937133198e-223) 1 (if (<= y 4.7445413372194213e-178) -1 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))))))
11.019 * [regime-testing]: Baseline error score: 20.598387681599654
11.038 * [regime-testing]: Oracle error score: 0.4429370895525299
11.074 * [regime-testing]: End program error score: 5.911227320155347
11.261 * [regime-testing]: Target error score: 0.05492923490688737