13.651 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.042 * * * [progress]: [2/2] Setting up program.
0.048 * [progress]: [Phase 2 of 3] Improving.
0.048 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.048 * * [simplify]: iteration 0: 9 enodes
0.051 * * [simplify]: iteration 1: 22 enodes
0.057 * * [simplify]: iteration 2: 48 enodes
0.081 * * [simplify]: iteration 3: 103 enodes
0.096 * * [simplify]: iteration 4: 208 enodes
0.156 * * [simplify]: iteration 5: 403 enodes
0.284 * * [simplify]: iteration 6: 840 enodes
0.733 * * [simplify]: iteration 7: 3699 enodes
2.884 * * [simplify]: iteration complete: 5000 enodes
2.884 * * [simplify]: Extracting #0: cost 1 inf + 0
2.885 * * [simplify]: Extracting #1: cost 239 inf + 0
2.887 * * [simplify]: Extracting #2: cost 844 inf + 1
2.890 * * [simplify]: Extracting #3: cost 1424 inf + 34
2.895 * * [simplify]: Extracting #4: cost 754 inf + 2779
2.900 * * [simplify]: Extracting #5: cost 101 inf + 11189
2.904 * * [simplify]: Extracting #6: cost 1 inf + 13402
2.909 * * [simplify]: Extracting #7: cost 0 inf + 13438
2.916 * [simplify]: Simplified to:
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x)))
2.925 * * [progress]: iteration 1 / 4
2.925 * * * [progress]: picking best candidate
2.936 * * * * [pick]: Picked  #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))>
2.936 * * * [progress]: localizing error
2.966 * * * [progress]: generating rewritten candidates
2.966 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
3.013 * * * [progress]: generating series expansions
3.014 * * * * [progress]: [ 1 / 1 ] generating series at (2)
3.014 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2)))
3.014 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (x y) around 0
3.014 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
3.014 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
3.014 * [taylor]: Taking taylor expansion of (+ x y) in y
3.014 * [taylor]: Taking taylor expansion of x in y
3.014 * [backup-simplify]: Simplify x into x
3.014 * [taylor]: Taking taylor expansion of y in y
3.014 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify 1 into 1
3.014 * [taylor]: Taking taylor expansion of (- x y) in y
3.014 * [taylor]: Taking taylor expansion of x in y
3.014 * [backup-simplify]: Simplify x into x
3.015 * [taylor]: Taking taylor expansion of y in y
3.015 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify 1 into 1
3.015 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
3.015 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.015 * [taylor]: Taking taylor expansion of y in y
3.015 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify 1 into 1
3.015 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.015 * [taylor]: Taking taylor expansion of x in y
3.015 * [backup-simplify]: Simplify x into x
3.015 * [backup-simplify]: Simplify (+ x 0) into x
3.018 * [backup-simplify]: Simplify (- 0) into 0
3.018 * [backup-simplify]: Simplify (+ x 0) into x
3.018 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.018 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.019 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.019 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.019 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
3.019 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
3.019 * [taylor]: Taking taylor expansion of (+ x y) in x
3.019 * [taylor]: Taking taylor expansion of x in x
3.019 * [backup-simplify]: Simplify 0 into 0
3.019 * [backup-simplify]: Simplify 1 into 1
3.019 * [taylor]: Taking taylor expansion of y in x
3.019 * [backup-simplify]: Simplify y into y
3.019 * [taylor]: Taking taylor expansion of (- x y) in x
3.019 * [taylor]: Taking taylor expansion of x in x
3.019 * [backup-simplify]: Simplify 0 into 0
3.019 * [backup-simplify]: Simplify 1 into 1
3.019 * [taylor]: Taking taylor expansion of y in x
3.019 * [backup-simplify]: Simplify y into y
3.019 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.019 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.019 * [taylor]: Taking taylor expansion of y in x
3.019 * [backup-simplify]: Simplify y into y
3.019 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.020 * [taylor]: Taking taylor expansion of x in x
3.020 * [backup-simplify]: Simplify 0 into 0
3.020 * [backup-simplify]: Simplify 1 into 1
3.020 * [backup-simplify]: Simplify (+ 0 y) into y
3.020 * [backup-simplify]: Simplify (- y) into (- y)
3.020 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
3.020 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
3.020 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.020 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.020 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
3.021 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
3.021 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
3.021 * [taylor]: Taking taylor expansion of (+ x y) in x
3.021 * [taylor]: Taking taylor expansion of x in x
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.021 * [taylor]: Taking taylor expansion of y in x
3.021 * [backup-simplify]: Simplify y into y
3.021 * [taylor]: Taking taylor expansion of (- x y) in x
3.021 * [taylor]: Taking taylor expansion of x in x
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.021 * [taylor]: Taking taylor expansion of y in x
3.021 * [backup-simplify]: Simplify y into y
3.021 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
3.021 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.021 * [taylor]: Taking taylor expansion of y in x
3.021 * [backup-simplify]: Simplify y into y
3.021 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.021 * [taylor]: Taking taylor expansion of x in x
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.022 * [backup-simplify]: Simplify (+ 0 y) into y
3.022 * [backup-simplify]: Simplify (- y) into (- y)
3.022 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
3.022 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
3.022 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.022 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.022 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
3.022 * [taylor]: Taking taylor expansion of -1 in y
3.022 * [backup-simplify]: Simplify -1 into -1
3.022 * [backup-simplify]: Simplify -1 into -1
3.023 * [backup-simplify]: Simplify (- 0) into 0
3.024 * [backup-simplify]: Simplify (+ 1 0) into 1
3.024 * [backup-simplify]: Simplify (+ 1 0) into 1
3.024 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
3.024 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.025 * [backup-simplify]: Simplify (+ 0 0) into 0
3.025 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
3.025 * [taylor]: Taking taylor expansion of 0 in y
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify (- 0) into 0
3.026 * [backup-simplify]: Simplify (+ 0 0) into 0
3.027 * [backup-simplify]: Simplify (+ 0 0) into 0
3.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
3.028 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.028 * [backup-simplify]: Simplify (* 1 1) into 1
3.028 * [backup-simplify]: Simplify (+ 0 1) into 1
3.029 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
3.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.029 * [taylor]: Taking taylor expansion of 2 in y
3.029 * [backup-simplify]: Simplify 2 into 2
3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.029 * [taylor]: Taking taylor expansion of y in y
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 1 into 1
3.030 * [backup-simplify]: Simplify (* 1 1) into 1
3.030 * [backup-simplify]: Simplify (/ 1 1) into 1
3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.034 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify (- 0) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
3.036 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.036 * [backup-simplify]: Simplify (+ 0 0) into 0
3.037 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
3.037 * [taylor]: Taking taylor expansion of 0 in y
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify -1 into -1
3.037 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
3.037 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
3.037 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.037 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y
3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
3.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.037 * [taylor]: Taking taylor expansion of x in y
3.037 * [backup-simplify]: Simplify x into x
3.037 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.037 * [taylor]: Taking taylor expansion of y in y
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.037 * [backup-simplify]: Simplify (/ 1 1) into 1
3.037 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
3.037 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.038 * [taylor]: Taking taylor expansion of x in y
3.038 * [backup-simplify]: Simplify x into x
3.038 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.038 * [taylor]: Taking taylor expansion of y in y
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (/ 1 1) into 1
3.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.038 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.038 * [taylor]: Taking taylor expansion of y in y
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (* 1 1) into 1
3.038 * [backup-simplify]: Simplify (/ 1 1) into 1
3.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.038 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.038 * [taylor]: Taking taylor expansion of x in y
3.039 * [backup-simplify]: Simplify x into x
3.039 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.039 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.039 * [backup-simplify]: Simplify (+ 0 1) into 1
3.039 * [backup-simplify]: Simplify (- 1) into -1
3.039 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.040 * [backup-simplify]: Simplify (* 1 -1) into -1
3.040 * [backup-simplify]: Simplify (+ 1 0) into 1
3.040 * [backup-simplify]: Simplify (/ -1 1) into -1
3.040 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.040 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.040 * [taylor]: Taking taylor expansion of x in x
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [backup-simplify]: Simplify 1 into 1
3.041 * [backup-simplify]: Simplify (/ 1 1) into 1
3.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.041 * [taylor]: Taking taylor expansion of y in x
3.041 * [backup-simplify]: Simplify y into y
3.041 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.041 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
3.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.041 * [taylor]: Taking taylor expansion of x in x
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.041 * [backup-simplify]: Simplify (/ 1 1) into 1
3.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.041 * [taylor]: Taking taylor expansion of y in x
3.041 * [backup-simplify]: Simplify y into y
3.041 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.041 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.041 * [taylor]: Taking taylor expansion of y in x
3.041 * [backup-simplify]: Simplify y into y
3.041 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.041 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.041 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.041 * [taylor]: Taking taylor expansion of x in x
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify (* 1 1) into 1
3.042 * [backup-simplify]: Simplify (/ 1 1) into 1
3.042 * [backup-simplify]: Simplify (+ 1 0) into 1
3.042 * [backup-simplify]: Simplify (+ 1 0) into 1
3.043 * [backup-simplify]: Simplify (* 1 1) into 1
3.043 * [backup-simplify]: Simplify (+ 0 1) into 1
3.043 * [backup-simplify]: Simplify (/ 1 1) into 1
3.043 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.043 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
3.043 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.043 * [taylor]: Taking taylor expansion of x in x
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 1 into 1
3.043 * [backup-simplify]: Simplify (/ 1 1) into 1
3.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.044 * [taylor]: Taking taylor expansion of y in x
3.044 * [backup-simplify]: Simplify y into y
3.044 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.044 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
3.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.044 * [taylor]: Taking taylor expansion of x in x
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify 1 into 1
3.044 * [backup-simplify]: Simplify (/ 1 1) into 1
3.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.044 * [taylor]: Taking taylor expansion of y in x
3.044 * [backup-simplify]: Simplify y into y
3.044 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.044 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.044 * [taylor]: Taking taylor expansion of y in x
3.044 * [backup-simplify]: Simplify y into y
3.044 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.044 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.044 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.044 * [taylor]: Taking taylor expansion of x in x
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify 1 into 1
3.045 * [backup-simplify]: Simplify (* 1 1) into 1
3.045 * [backup-simplify]: Simplify (/ 1 1) into 1
3.045 * [backup-simplify]: Simplify (+ 1 0) into 1
3.045 * [backup-simplify]: Simplify (+ 1 0) into 1
3.046 * [backup-simplify]: Simplify (* 1 1) into 1
3.046 * [backup-simplify]: Simplify (+ 0 1) into 1
3.046 * [backup-simplify]: Simplify (/ 1 1) into 1
3.046 * [taylor]: Taking taylor expansion of 1 in y
3.046 * [backup-simplify]: Simplify 1 into 1
3.046 * [backup-simplify]: Simplify 1 into 1
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
3.047 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
3.048 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0
3.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.049 * [backup-simplify]: Simplify (+ 0 0) into 0
3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
3.049 * [taylor]: Taking taylor expansion of 0 in y
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.050 * [backup-simplify]: Simplify (- 0) into 0
3.050 * [backup-simplify]: Simplify (+ 0 0) into 0
3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.051 * [backup-simplify]: Simplify (+ 0 0) into 0
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2)))
3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.053 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.054 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
3.054 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.054 * [taylor]: Taking taylor expansion of 2 in y
3.054 * [backup-simplify]: Simplify 2 into 2
3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.054 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.054 * [taylor]: Taking taylor expansion of y in y
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 1 into 1
3.054 * [backup-simplify]: Simplify (* 1 1) into 1
3.054 * [backup-simplify]: Simplify (/ 1 1) into 1
3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.057 * [backup-simplify]: Simplify (- 0) into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.058 * [backup-simplify]: Simplify (- 0) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.059 * [backup-simplify]: Simplify (+ 0 0) into 0
3.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0
3.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (+ 0 0) into 0
3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
3.062 * [taylor]: Taking taylor expansion of 0 in y
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 1 into 1
3.063 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
3.063 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
3.063 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
3.063 * [taylor]: Taking taylor expansion of -1 in y
3.063 * [backup-simplify]: Simplify -1 into -1
3.063 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
3.063 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
3.063 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
3.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.063 * [taylor]: Taking taylor expansion of y in y
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify 1 into 1
3.063 * [backup-simplify]: Simplify (/ 1 1) into 1
3.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.063 * [taylor]: Taking taylor expansion of x in y
3.063 * [backup-simplify]: Simplify x into x
3.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.063 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
3.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.063 * [taylor]: Taking taylor expansion of x in y
3.063 * [backup-simplify]: Simplify x into x
3.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.063 * [taylor]: Taking taylor expansion of y in y
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify 1 into 1
3.064 * [backup-simplify]: Simplify (/ 1 1) into 1
3.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
3.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.064 * [taylor]: Taking taylor expansion of y in y
3.064 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify 1 into 1
3.064 * [backup-simplify]: Simplify (* 1 1) into 1
3.064 * [backup-simplify]: Simplify (/ 1 1) into 1
3.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.064 * [taylor]: Taking taylor expansion of x in y
3.064 * [backup-simplify]: Simplify x into x
3.064 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.065 * [backup-simplify]: Simplify (+ 1 0) into 1
3.065 * [backup-simplify]: Simplify (+ 0 1) into 1
3.066 * [backup-simplify]: Simplify (* 1 1) into 1
3.071 * [backup-simplify]: Simplify (+ 1 0) into 1
3.071 * [backup-simplify]: Simplify (/ 1 1) into 1
3.071 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.072 * [taylor]: Taking taylor expansion of -1 in x
3.072 * [backup-simplify]: Simplify -1 into -1
3.072 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.072 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
3.072 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
3.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.072 * [taylor]: Taking taylor expansion of y in x
3.072 * [backup-simplify]: Simplify y into y
3.072 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.072 * [taylor]: Taking taylor expansion of x in x
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify (/ 1 1) into 1
3.072 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.072 * [taylor]: Taking taylor expansion of x in x
3.072 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (/ 1 1) into 1
3.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.073 * [taylor]: Taking taylor expansion of y in x
3.073 * [backup-simplify]: Simplify y into y
3.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.073 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.073 * [taylor]: Taking taylor expansion of y in x
3.073 * [backup-simplify]: Simplify y into y
3.073 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.074 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.074 * [taylor]: Taking taylor expansion of x in x
3.074 * [backup-simplify]: Simplify 0 into 0
3.074 * [backup-simplify]: Simplify 1 into 1
3.074 * [backup-simplify]: Simplify (* 1 1) into 1
3.074 * [backup-simplify]: Simplify (/ 1 1) into 1
3.075 * [backup-simplify]: Simplify (- 1) into -1
3.075 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.076 * [backup-simplify]: Simplify (+ 1 0) into 1
3.076 * [backup-simplify]: Simplify (* -1 1) into -1
3.077 * [backup-simplify]: Simplify (+ 0 1) into 1
3.077 * [backup-simplify]: Simplify (/ -1 1) into -1
3.077 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
3.077 * [taylor]: Taking taylor expansion of -1 in x
3.077 * [backup-simplify]: Simplify -1 into -1
3.077 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
3.077 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
3.077 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
3.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.078 * [taylor]: Taking taylor expansion of y in x
3.078 * [backup-simplify]: Simplify y into y
3.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.078 * [taylor]: Taking taylor expansion of x in x
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify (/ 1 1) into 1
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.078 * [taylor]: Taking taylor expansion of x in x
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.079 * [taylor]: Taking taylor expansion of y in x
3.079 * [backup-simplify]: Simplify y into y
3.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.079 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.079 * [taylor]: Taking taylor expansion of y in x
3.079 * [backup-simplify]: Simplify y into y
3.079 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.079 * [taylor]: Taking taylor expansion of x in x
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify (* 1 1) into 1
3.080 * [backup-simplify]: Simplify (/ 1 1) into 1
3.081 * [backup-simplify]: Simplify (- 1) into -1
3.081 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.081 * [backup-simplify]: Simplify (+ 1 0) into 1
3.082 * [backup-simplify]: Simplify (* -1 1) into -1
3.082 * [backup-simplify]: Simplify (+ 0 1) into 1
3.083 * [backup-simplify]: Simplify (/ -1 1) into -1
3.083 * [backup-simplify]: Simplify (* -1 -1) into 1
3.083 * [taylor]: Taking taylor expansion of 1 in y
3.083 * [backup-simplify]: Simplify 1 into 1
3.083 * [backup-simplify]: Simplify 1 into 1
3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.084 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.085 * [backup-simplify]: Simplify (- 0) into 0
3.085 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
3.085 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0
3.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.086 * [backup-simplify]: Simplify (+ 0 0) into 0
3.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.087 * [taylor]: Taking taylor expansion of 0 in y
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.088 * [backup-simplify]: Simplify (+ 0 0) into 0
3.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.089 * [backup-simplify]: Simplify (- 0) into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.090 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.091 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.092 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
3.092 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
3.092 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
3.092 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
3.092 * [taylor]: Taking taylor expansion of 2 in y
3.092 * [backup-simplify]: Simplify 2 into 2
3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.092 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.092 * [taylor]: Taking taylor expansion of y in y
3.092 * [backup-simplify]: Simplify 0 into 0
3.092 * [backup-simplify]: Simplify 1 into 1
3.092 * [backup-simplify]: Simplify (* 1 1) into 1
3.093 * [backup-simplify]: Simplify (/ 1 1) into 1
3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.095 * [backup-simplify]: Simplify (- 0) into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify 0 into 0
3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.097 * [backup-simplify]: Simplify (+ 0 0) into 0
3.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.097 * [backup-simplify]: Simplify (- 0) into 0
3.098 * [backup-simplify]: Simplify (+ 0 0) into 0
3.098 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.100 * [backup-simplify]: Simplify (+ 0 0) into 0
3.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
3.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
3.102 * [taylor]: Taking taylor expansion of 0 in y
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 1 into 1
3.102 * * * [progress]: simplifying candidates
3.102 * [simplify]: Simplifying:
  (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y))))
  (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
  (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (- (* (- x y) (+ x y)))
  (- (+ (* x x) (* y y)))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) 1)
  (/ (+ x y) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (* (- x y) (+ x y)) 1)
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)))
  (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (- x y))
  (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (+ x y))
  -1
  1
  1
3.103 * * [simplify]: iteration 0: 79 enodes
3.117 * * [simplify]: iteration 1: 280 enodes
3.258 * * [simplify]: iteration 2: 1903 enodes
3.880 * * [simplify]: iteration complete: 5002 enodes
3.880 * * [simplify]: Extracting #0: cost 32 inf + 0
3.884 * * [simplify]: Extracting #1: cost 758 inf + 2
3.892 * * [simplify]: Extracting #2: cost 1548 inf + 13
3.905 * * [simplify]: Extracting #3: cost 1840 inf + 1919
3.929 * * [simplify]: Extracting #4: cost 877 inf + 12823
3.945 * * [simplify]: Extracting #5: cost 150 inf + 25210
3.960 * * [simplify]: Extracting #6: cost 34 inf + 27251
3.975 * * [simplify]: Extracting #7: cost 5 inf + 27384
3.989 * * [simplify]: Extracting #8: cost 0 inf + 27427
4.006 * [simplify]: Simplified to:
  (log (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))
  (exp (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (* (cbrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))) (cbrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))))
  (cbrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (sqrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))
  (sqrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))
  (* (- x y) (- (+ x y)))
  (- (* (- x) x) (* y y))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ y x) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ y x) (sqrt (+ (* x x) (* y y))))
  (- x y)
  (/ (+ y x) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (+ y x) (- x y)))
  (* (/ (- x y) (cbrt (+ (* x x) (* y y)))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (* (+ y x) (- x y))
  (/ (+ (* x x) (* y y)) (+ y x))
  (/ (- x y) (/ (+ (pow x 6) (pow y 6)) (+ y x)))
  (/ (- x y) (/ (- (* (pow x 3) x) (* y (pow y 3))) (+ y x)))
  (* (+ (* y (- y x)) (* x x)) (* (+ (* x x) (* y y)) (+ (* y (+ y x)) (* x x))))
  (* (+ (* y (+ y x)) (* x x)) (* (- x y) (+ (* x x) (* y y))))
  (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* y (- y x)) (* x x)))
  (* (- x y) (* (+ (* x x) (* y y)) (+ x y)))
  (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y y)))
  (* (- x y) (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (+ (* y (+ y x)) (* x x)))
  (* (+ (* x x) (* y y)) (+ x y))
  -1
  1
  1
4.006 * * * [progress]: adding candidates to table
4.192 * * [progress]: iteration 2 / 4
4.192 * * * [progress]: picking best candidate
4.216 * * * * [pick]: Picked  #<alt (λ (x y) (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)))>
4.216 * * * [progress]: localizing error
4.251 * * * [progress]: generating rewritten candidates
4.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2)
4.276 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.314 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
4.367 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
4.465 * * * [progress]: generating series expansions
4.465 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2)
4.466 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (- x y)) into (/ (+ (pow y 2) (pow x 2)) (- x y))
4.466 * [approximate]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- x y)) in (x y) around 0
4.466 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- x y)) in y
4.466 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.466 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.466 * [taylor]: Taking taylor expansion of y in y
4.466 * [backup-simplify]: Simplify 0 into 0
4.466 * [backup-simplify]: Simplify 1 into 1
4.466 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.466 * [taylor]: Taking taylor expansion of x in y
4.466 * [backup-simplify]: Simplify x into x
4.466 * [taylor]: Taking taylor expansion of (- x y) in y
4.466 * [taylor]: Taking taylor expansion of x in y
4.466 * [backup-simplify]: Simplify x into x
4.466 * [taylor]: Taking taylor expansion of y in y
4.466 * [backup-simplify]: Simplify 0 into 0
4.466 * [backup-simplify]: Simplify 1 into 1
4.466 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.466 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.467 * [backup-simplify]: Simplify (- 0) into 0
4.467 * [backup-simplify]: Simplify (+ x 0) into x
4.467 * [backup-simplify]: Simplify (/ (pow x 2) x) into x
4.467 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- x y)) in x
4.467 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.467 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.467 * [taylor]: Taking taylor expansion of y in x
4.467 * [backup-simplify]: Simplify y into y
4.467 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [taylor]: Taking taylor expansion of (- x y) in x
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [taylor]: Taking taylor expansion of y in x
4.467 * [backup-simplify]: Simplify y into y
4.467 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.467 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.467 * [backup-simplify]: Simplify (- y) into (- y)
4.467 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.467 * [backup-simplify]: Simplify (/ (pow y 2) (- y)) into (* -1 y)
4.467 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (- x y)) in x
4.467 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.467 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.467 * [taylor]: Taking taylor expansion of y in x
4.467 * [backup-simplify]: Simplify y into y
4.467 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [taylor]: Taking taylor expansion of (- x y) in x
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.467 * [taylor]: Taking taylor expansion of y in x
4.467 * [backup-simplify]: Simplify y into y
4.468 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.468 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.468 * [backup-simplify]: Simplify (- y) into (- y)
4.468 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.468 * [backup-simplify]: Simplify (/ (pow y 2) (- y)) into (* -1 y)
4.468 * [taylor]: Taking taylor expansion of (* -1 y) in y
4.468 * [taylor]: Taking taylor expansion of -1 in y
4.468 * [backup-simplify]: Simplify -1 into -1
4.468 * [taylor]: Taking taylor expansion of y in y
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 1 into 1
4.468 * [backup-simplify]: Simplify (* -1 0) into 0
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.469 * [backup-simplify]: Simplify (+ 0 0) into 0
4.469 * [backup-simplify]: Simplify (- 0) into 0
4.469 * [backup-simplify]: Simplify (+ 1 0) into 1
4.469 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* (* -1 y) (/ 1 (- y))))) into (- 1)
4.469 * [taylor]: Taking taylor expansion of (- 1) in y
4.469 * [taylor]: Taking taylor expansion of 1 in y
4.469 * [backup-simplify]: Simplify 1 into 1
4.470 * [backup-simplify]: Simplify (- 1) into -1
4.470 * [backup-simplify]: Simplify -1 into -1
4.470 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
4.470 * [backup-simplify]: Simplify -1 into -1
4.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.471 * [backup-simplify]: Simplify (* 1 1) into 1
4.471 * [backup-simplify]: Simplify (+ 0 1) into 1
4.471 * [backup-simplify]: Simplify (- 0) into 0
4.471 * [backup-simplify]: Simplify (+ 0 0) into 0
4.472 * [backup-simplify]: Simplify (- (/ 1 (- y)) (+ (* (* -1 y) (/ 0 (- y))) (* (- 1) (/ 1 (- y))))) into (- (* 2 (/ 1 y)))
4.472 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y
4.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
4.472 * [taylor]: Taking taylor expansion of 2 in y
4.472 * [backup-simplify]: Simplify 2 into 2
4.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.472 * [taylor]: Taking taylor expansion of y in y
4.472 * [backup-simplify]: Simplify 0 into 0
4.472 * [backup-simplify]: Simplify 1 into 1
4.472 * [backup-simplify]: Simplify (/ 1 1) into 1
4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.473 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.473 * [backup-simplify]: Simplify (- 0) into 0
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify (- 0) into 0
4.473 * [backup-simplify]: Simplify 0 into 0
4.474 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
4.474 * [backup-simplify]: Simplify 0 into 0
4.474 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.475 * [backup-simplify]: Simplify (+ 0 0) into 0
4.475 * [backup-simplify]: Simplify (- 0) into 0
4.476 * [backup-simplify]: Simplify (+ 0 0) into 0
4.476 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* (* -1 y) (/ 0 (- y))) (* (- 1) (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 2))))
4.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.476 * [taylor]: Taking taylor expansion of 2 in y
4.476 * [backup-simplify]: Simplify 2 into 2
4.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.476 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.476 * [taylor]: Taking taylor expansion of y in y
4.476 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify 1 into 1
4.476 * [backup-simplify]: Simplify (* 1 1) into 1
4.477 * [backup-simplify]: Simplify (/ 1 1) into 1
4.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.486 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.486 * [backup-simplify]: Simplify (- 0) into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.487 * [backup-simplify]: Simplify (- 0) into 0
4.487 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify (- 0) into 0
4.488 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify (+ (* -1 (* y 1)) (* -1 (* 1 x))) into (- (+ x y))
4.488 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 x) (/ 1 y)))
4.488 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 x) (/ 1 y))) in (x y) around 0
4.488 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 x) (/ 1 y))) in y
4.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.488 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.488 * [taylor]: Taking taylor expansion of y in y
4.488 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify 1 into 1
4.488 * [backup-simplify]: Simplify (* 1 1) into 1
4.489 * [backup-simplify]: Simplify (/ 1 1) into 1
4.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.489 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.489 * [taylor]: Taking taylor expansion of x in y
4.489 * [backup-simplify]: Simplify x into x
4.489 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.489 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.489 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.489 * [taylor]: Taking taylor expansion of x in y
4.489 * [backup-simplify]: Simplify x into x
4.489 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.489 * [taylor]: Taking taylor expansion of y in y
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (/ 1 1) into 1
4.489 * [backup-simplify]: Simplify (+ 1 0) into 1
4.490 * [backup-simplify]: Simplify (- 1) into -1
4.490 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.490 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.490 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 x) (/ 1 y))) in x
4.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.490 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.490 * [taylor]: Taking taylor expansion of y in x
4.490 * [backup-simplify]: Simplify y into y
4.490 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.491 * [taylor]: Taking taylor expansion of x in x
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (* 1 1) into 1
4.491 * [backup-simplify]: Simplify (/ 1 1) into 1
4.491 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.491 * [taylor]: Taking taylor expansion of x in x
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (/ 1 1) into 1
4.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.491 * [taylor]: Taking taylor expansion of y in x
4.491 * [backup-simplify]: Simplify y into y
4.491 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.492 * [backup-simplify]: Simplify (+ 0 1) into 1
4.492 * [backup-simplify]: Simplify (+ 1 0) into 1
4.492 * [backup-simplify]: Simplify (/ 1 1) into 1
4.492 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 x) (/ 1 y))) in x
4.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.492 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.492 * [taylor]: Taking taylor expansion of y in x
4.492 * [backup-simplify]: Simplify y into y
4.492 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.492 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.493 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.493 * [taylor]: Taking taylor expansion of x in x
4.493 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify 1 into 1
4.493 * [backup-simplify]: Simplify (* 1 1) into 1
4.493 * [backup-simplify]: Simplify (/ 1 1) into 1
4.493 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.493 * [taylor]: Taking taylor expansion of x in x
4.493 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify 1 into 1
4.493 * [backup-simplify]: Simplify (/ 1 1) into 1
4.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.493 * [taylor]: Taking taylor expansion of y in x
4.493 * [backup-simplify]: Simplify y into y
4.493 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.494 * [backup-simplify]: Simplify (+ 0 1) into 1
4.494 * [backup-simplify]: Simplify (+ 1 0) into 1
4.494 * [backup-simplify]: Simplify (/ 1 1) into 1
4.494 * [taylor]: Taking taylor expansion of 1 in y
4.494 * [backup-simplify]: Simplify 1 into 1
4.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.495 * [backup-simplify]: Simplify (+ 0 0) into 0
4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.496 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.496 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)))) into (/ 1 y)
4.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.496 * [taylor]: Taking taylor expansion of y in y
4.496 * [backup-simplify]: Simplify 0 into 0
4.496 * [backup-simplify]: Simplify 1 into 1
4.497 * [backup-simplify]: Simplify (/ 1 1) into 1
4.497 * [backup-simplify]: Simplify 1 into 1
4.497 * [backup-simplify]: Simplify 1 into 1
4.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.498 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.499 * [backup-simplify]: Simplify (- 0) into 0
4.499 * [backup-simplify]: Simplify (+ 0 0) into 0
4.500 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 2)))
4.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.500 * [taylor]: Taking taylor expansion of 2 in y
4.500 * [backup-simplify]: Simplify 2 into 2
4.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.500 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.500 * [taylor]: Taking taylor expansion of y in y
4.500 * [backup-simplify]: Simplify 0 into 0
4.500 * [backup-simplify]: Simplify 1 into 1
4.500 * [backup-simplify]: Simplify (* 1 1) into 1
4.500 * [backup-simplify]: Simplify (/ 1 1) into 1
4.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.502 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.502 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.505 * [backup-simplify]: Simplify (+ 0 0) into 0
4.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.507 * [backup-simplify]: Simplify (- 0) into 0
4.507 * [backup-simplify]: Simplify (+ 0 0) into 0
4.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* (* 2 (/ 1 (pow y 2))) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 3)))
4.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
4.509 * [taylor]: Taking taylor expansion of 2 in y
4.509 * [backup-simplify]: Simplify 2 into 2
4.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.509 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.509 * [taylor]: Taking taylor expansion of y in y
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 1 into 1
4.509 * [backup-simplify]: Simplify (* 1 1) into 1
4.510 * [backup-simplify]: Simplify (* 1 1) into 1
4.510 * [backup-simplify]: Simplify (/ 1 1) into 1
4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.516 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.516 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.519 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.519 * [backup-simplify]: Simplify 0 into 0
4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.520 * [backup-simplify]: Simplify 0 into 0
4.520 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) 1))) into (+ x y)
4.521 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 y) (/ 1 x)))
4.521 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0
4.521 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 y) (/ 1 x))) in y
4.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.521 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.521 * [taylor]: Taking taylor expansion of y in y
4.521 * [backup-simplify]: Simplify 0 into 0
4.521 * [backup-simplify]: Simplify 1 into 1
4.521 * [backup-simplify]: Simplify (* 1 1) into 1
4.522 * [backup-simplify]: Simplify (/ 1 1) into 1
4.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.522 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.522 * [taylor]: Taking taylor expansion of x in y
4.522 * [backup-simplify]: Simplify x into x
4.522 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.522 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.522 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.522 * [taylor]: Taking taylor expansion of y in y
4.522 * [backup-simplify]: Simplify 0 into 0
4.522 * [backup-simplify]: Simplify 1 into 1
4.523 * [backup-simplify]: Simplify (/ 1 1) into 1
4.523 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.523 * [taylor]: Taking taylor expansion of x in y
4.523 * [backup-simplify]: Simplify x into x
4.523 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.523 * [backup-simplify]: Simplify (+ 1 0) into 1
4.524 * [backup-simplify]: Simplify (+ 1 0) into 1
4.524 * [backup-simplify]: Simplify (/ 1 1) into 1
4.524 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 y) (/ 1 x))) in x
4.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.524 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.524 * [taylor]: Taking taylor expansion of y in x
4.524 * [backup-simplify]: Simplify y into y
4.525 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.525 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.525 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.525 * [taylor]: Taking taylor expansion of x in x
4.525 * [backup-simplify]: Simplify 0 into 0
4.525 * [backup-simplify]: Simplify 1 into 1
4.525 * [backup-simplify]: Simplify (* 1 1) into 1
4.526 * [backup-simplify]: Simplify (/ 1 1) into 1
4.526 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.526 * [taylor]: Taking taylor expansion of y in x
4.526 * [backup-simplify]: Simplify y into y
4.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.526 * [taylor]: Taking taylor expansion of x in x
4.526 * [backup-simplify]: Simplify 0 into 0
4.526 * [backup-simplify]: Simplify 1 into 1
4.526 * [backup-simplify]: Simplify (/ 1 1) into 1
4.527 * [backup-simplify]: Simplify (+ 0 1) into 1
4.527 * [backup-simplify]: Simplify (- 1) into -1
4.528 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.528 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.528 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (- (/ 1 y) (/ 1 x))) in x
4.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.528 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.528 * [taylor]: Taking taylor expansion of y in x
4.528 * [backup-simplify]: Simplify y into y
4.528 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.529 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.529 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.529 * [taylor]: Taking taylor expansion of x in x
4.529 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify 1 into 1
4.529 * [backup-simplify]: Simplify (* 1 1) into 1
4.530 * [backup-simplify]: Simplify (/ 1 1) into 1
4.530 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.530 * [taylor]: Taking taylor expansion of y in x
4.530 * [backup-simplify]: Simplify y into y
4.530 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.530 * [taylor]: Taking taylor expansion of x in x
4.530 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify 1 into 1
4.530 * [backup-simplify]: Simplify (/ 1 1) into 1
4.531 * [backup-simplify]: Simplify (+ 0 1) into 1
4.531 * [backup-simplify]: Simplify (- 1) into -1
4.532 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.532 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.532 * [taylor]: Taking taylor expansion of -1 in y
4.532 * [backup-simplify]: Simplify -1 into -1
4.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.534 * [backup-simplify]: Simplify (+ 0 0) into 0
4.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.535 * [backup-simplify]: Simplify (- 0) into 0
4.535 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.536 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 y) -1)))) into (- (/ 1 y))
4.536 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
4.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.536 * [taylor]: Taking taylor expansion of y in y
4.536 * [backup-simplify]: Simplify 0 into 0
4.536 * [backup-simplify]: Simplify 1 into 1
4.536 * [backup-simplify]: Simplify (/ 1 1) into 1
4.537 * [backup-simplify]: Simplify (- 1) into -1
4.537 * [backup-simplify]: Simplify -1 into -1
4.537 * [backup-simplify]: Simplify -1 into -1
4.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.539 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.540 * [backup-simplify]: Simplify (- 0) into 0
4.541 * [backup-simplify]: Simplify (+ 0 0) into 0
4.541 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 y)) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 2))))
4.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.542 * [taylor]: Taking taylor expansion of 2 in y
4.542 * [backup-simplify]: Simplify 2 into 2
4.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.542 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.542 * [taylor]: Taking taylor expansion of y in y
4.542 * [backup-simplify]: Simplify 0 into 0
4.542 * [backup-simplify]: Simplify 1 into 1
4.542 * [backup-simplify]: Simplify (* 1 1) into 1
4.543 * [backup-simplify]: Simplify (/ 1 1) into 1
4.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.545 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.545 * [backup-simplify]: Simplify (- 0) into 0
4.545 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.546 * [backup-simplify]: Simplify (- 0) into 0
4.546 * [backup-simplify]: Simplify 0 into 0
4.546 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.549 * [backup-simplify]: Simplify (+ 0 0) into 0
4.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.551 * [backup-simplify]: Simplify (- 0) into 0
4.551 * [backup-simplify]: Simplify (+ 0 0) into 0
4.553 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 y)) (/ 0 -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 3))))
4.553 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y
4.553 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
4.553 * [taylor]: Taking taylor expansion of 2 in y
4.553 * [backup-simplify]: Simplify 2 into 2
4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.553 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.553 * [taylor]: Taking taylor expansion of y in y
4.553 * [backup-simplify]: Simplify 0 into 0
4.553 * [backup-simplify]: Simplify 1 into 1
4.554 * [backup-simplify]: Simplify (* 1 1) into 1
4.554 * [backup-simplify]: Simplify (* 1 1) into 1
4.554 * [backup-simplify]: Simplify (/ 1 1) into 1
4.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.561 * [backup-simplify]: Simplify (- 0) into 0
4.561 * [backup-simplify]: Simplify 0 into 0
4.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.564 * [backup-simplify]: Simplify (- 0) into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.565 * [backup-simplify]: Simplify (- 0) into 0
4.565 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) 1))) into (+ x y)
4.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.566 * [backup-simplify]: Simplify (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3) into (pow (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) 3)
4.566 * [approximate]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) 3) in (y x) around 0
4.566 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) 3) in x
4.566 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
4.566 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.566 * [taylor]: Taking taylor expansion of (+ x y) in x
4.566 * [taylor]: Taking taylor expansion of x in x
4.566 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify 1 into 1
4.566 * [taylor]: Taking taylor expansion of y in x
4.566 * [backup-simplify]: Simplify y into y
4.566 * [taylor]: Taking taylor expansion of (- x y) in x
4.567 * [taylor]: Taking taylor expansion of x in x
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify 1 into 1
4.567 * [taylor]: Taking taylor expansion of y in x
4.567 * [backup-simplify]: Simplify y into y
4.567 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.567 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.567 * [taylor]: Taking taylor expansion of y in x
4.567 * [backup-simplify]: Simplify y into y
4.567 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.567 * [taylor]: Taking taylor expansion of x in x
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify 1 into 1
4.567 * [backup-simplify]: Simplify (+ 0 y) into y
4.567 * [backup-simplify]: Simplify (- y) into (- y)
4.567 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.567 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.567 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.567 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.568 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.568 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) 3) in y
4.568 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
4.568 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.568 * [taylor]: Taking taylor expansion of (+ x y) in y
4.568 * [taylor]: Taking taylor expansion of x in y
4.568 * [backup-simplify]: Simplify x into x
4.568 * [taylor]: Taking taylor expansion of y in y
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 1 into 1
4.568 * [taylor]: Taking taylor expansion of (- x y) in y
4.568 * [taylor]: Taking taylor expansion of x in y
4.568 * [backup-simplify]: Simplify x into x
4.568 * [taylor]: Taking taylor expansion of y in y
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 1 into 1
4.568 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.568 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.568 * [taylor]: Taking taylor expansion of y in y
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 1 into 1
4.568 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.568 * [taylor]: Taking taylor expansion of x in y
4.568 * [backup-simplify]: Simplify x into x
4.568 * [backup-simplify]: Simplify (+ x 0) into x
4.569 * [backup-simplify]: Simplify (- 0) into 0
4.569 * [backup-simplify]: Simplify (+ x 0) into x
4.569 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.569 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.569 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.569 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.569 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) 3) in y
4.569 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
4.569 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.569 * [taylor]: Taking taylor expansion of (+ x y) in y
4.569 * [taylor]: Taking taylor expansion of x in y
4.569 * [backup-simplify]: Simplify x into x
4.569 * [taylor]: Taking taylor expansion of y in y
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [taylor]: Taking taylor expansion of (- x y) in y
4.569 * [taylor]: Taking taylor expansion of x in y
4.569 * [backup-simplify]: Simplify x into x
4.569 * [taylor]: Taking taylor expansion of y in y
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.569 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.569 * [taylor]: Taking taylor expansion of y in y
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.570 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.570 * [taylor]: Taking taylor expansion of x in y
4.570 * [backup-simplify]: Simplify x into x
4.570 * [backup-simplify]: Simplify (+ x 0) into x
4.570 * [backup-simplify]: Simplify (- 0) into 0
4.570 * [backup-simplify]: Simplify (+ x 0) into x
4.570 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.570 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.570 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.570 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.571 * [backup-simplify]: Simplify (* 1 1) into 1
4.571 * [backup-simplify]: Simplify (* 1 1) into 1
4.571 * [taylor]: Taking taylor expansion of 1 in x
4.571 * [backup-simplify]: Simplify 1 into 1
4.571 * [backup-simplify]: Simplify 1 into 1
4.571 * [backup-simplify]: Simplify (- 1) into -1
4.571 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.572 * [backup-simplify]: Simplify (+ 0 1) into 1
4.572 * [backup-simplify]: Simplify (+ (* x -1) (* 1 x)) into 0
4.572 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.572 * [backup-simplify]: Simplify (+ 0 0) into 0
4.572 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))))) into 0
4.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.573 * [taylor]: Taking taylor expansion of 0 in x
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify (- 0) into 0
4.574 * [backup-simplify]: Simplify (+ 0 0) into 0
4.574 * [backup-simplify]: Simplify (+ 0 0) into 0
4.574 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 -1) (* 0 x))) into (- 1)
4.575 * [backup-simplify]: Simplify (* 1 1) into 1
4.575 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.575 * [backup-simplify]: Simplify (+ 1 0) into 1
4.576 * [backup-simplify]: Simplify (- (/ (- 1) (pow x 2)) (+ (* 1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 2 (/ 1 (pow x 2))))
4.576 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow x 2)))) 1))) into (- (* 4 (/ 1 (pow x 2))))
4.577 * [backup-simplify]: Simplify (+ (* 1 (- (* 4 (/ 1 (pow x 2))))) (+ (* 0 0) (* (- (* 2 (/ 1 (pow x 2)))) 1))) into (- (* 6 (/ 1 (pow x 2))))
4.577 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow x 2)))) in x
4.577 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow x 2))) in x
4.577 * [taylor]: Taking taylor expansion of 6 in x
4.577 * [backup-simplify]: Simplify 6 into 6
4.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.577 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.577 * [taylor]: Taking taylor expansion of x in x
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [backup-simplify]: Simplify (* 1 1) into 1
4.578 * [backup-simplify]: Simplify (/ 1 1) into 1
4.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.580 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
4.580 * [backup-simplify]: Simplify (- 0) into 0
4.580 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify 0 into 0
4.581 * [backup-simplify]: Simplify (- 0) into 0
4.581 * [backup-simplify]: Simplify (+ 0 0) into 0
4.581 * [backup-simplify]: Simplify (+ 0 0) into 0
4.582 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 -1) (* 0 x)))) into 0
4.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.584 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.584 * [backup-simplify]: Simplify (+ 0 0) into 0
4.585 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 (pow x 2))))) into 0
4.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 2 (/ 1 (pow x 2))))) (+ (* (- (* 2 (/ 1 (pow x 2)))) 0) (* 0 1)))) into 0
4.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 4 (/ 1 (pow x 2))))) (+ (* (- (* 2 (/ 1 (pow x 2)))) 0) (* 0 1)))) into 0
4.587 * [taylor]: Taking taylor expansion of 0 in x
4.587 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify 1 into 1
4.587 * [backup-simplify]: Simplify (pow (/ (+ (/ 1 y) (/ 1 x)) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y)))) 3) into (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 3)
4.587 * [approximate]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 3) in (y x) around 0
4.587 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 3) in x
4.587 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.587 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x
4.587 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.587 * [taylor]: Taking taylor expansion of x in x
4.587 * [backup-simplify]: Simplify 0 into 0
4.587 * [backup-simplify]: Simplify 1 into 1
4.588 * [backup-simplify]: Simplify (/ 1 1) into 1
4.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.588 * [taylor]: Taking taylor expansion of y in x
4.588 * [backup-simplify]: Simplify y into y
4.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.588 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.588 * [taylor]: Taking taylor expansion of x in x
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 1 into 1
4.588 * [backup-simplify]: Simplify (/ 1 1) into 1
4.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.588 * [taylor]: Taking taylor expansion of y in x
4.588 * [backup-simplify]: Simplify y into y
4.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.588 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.588 * [taylor]: Taking taylor expansion of y in x
4.588 * [backup-simplify]: Simplify y into y
4.588 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.589 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.589 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.589 * [taylor]: Taking taylor expansion of x in x
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [backup-simplify]: Simplify (* 1 1) into 1
4.589 * [backup-simplify]: Simplify (/ 1 1) into 1
4.589 * [backup-simplify]: Simplify (+ 1 0) into 1
4.590 * [backup-simplify]: Simplify (+ 1 0) into 1
4.590 * [backup-simplify]: Simplify (* 1 1) into 1
4.590 * [backup-simplify]: Simplify (+ 0 1) into 1
4.591 * [backup-simplify]: Simplify (/ 1 1) into 1
4.591 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 3) in y
4.591 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.591 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y
4.591 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.591 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.591 * [taylor]: Taking taylor expansion of x in y
4.591 * [backup-simplify]: Simplify x into x
4.591 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.591 * [taylor]: Taking taylor expansion of y in y
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 1 into 1
4.591 * [backup-simplify]: Simplify (/ 1 1) into 1
4.591 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.591 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.591 * [taylor]: Taking taylor expansion of x in y
4.591 * [backup-simplify]: Simplify x into x
4.591 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.591 * [taylor]: Taking taylor expansion of y in y
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 1 into 1
4.591 * [backup-simplify]: Simplify (/ 1 1) into 1
4.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.592 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.592 * [taylor]: Taking taylor expansion of y in y
4.592 * [backup-simplify]: Simplify 0 into 0
4.592 * [backup-simplify]: Simplify 1 into 1
4.592 * [backup-simplify]: Simplify (* 1 1) into 1
4.592 * [backup-simplify]: Simplify (/ 1 1) into 1
4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.592 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.592 * [taylor]: Taking taylor expansion of x in y
4.592 * [backup-simplify]: Simplify x into x
4.592 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.593 * [backup-simplify]: Simplify (- 1) into -1
4.593 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.593 * [backup-simplify]: Simplify (+ 0 1) into 1
4.593 * [backup-simplify]: Simplify (* -1 1) into -1
4.594 * [backup-simplify]: Simplify (+ 1 0) into 1
4.594 * [backup-simplify]: Simplify (/ -1 1) into -1
4.594 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 3) in y
4.594 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.594 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y
4.594 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.594 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.594 * [taylor]: Taking taylor expansion of x in y
4.594 * [backup-simplify]: Simplify x into x
4.594 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.594 * [taylor]: Taking taylor expansion of y in y
4.594 * [backup-simplify]: Simplify 0 into 0
4.594 * [backup-simplify]: Simplify 1 into 1
4.594 * [backup-simplify]: Simplify (/ 1 1) into 1
4.594 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.595 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.595 * [taylor]: Taking taylor expansion of x in y
4.595 * [backup-simplify]: Simplify x into x
4.595 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.595 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.595 * [taylor]: Taking taylor expansion of y in y
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 1 into 1
4.595 * [backup-simplify]: Simplify (/ 1 1) into 1
4.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.595 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.595 * [taylor]: Taking taylor expansion of y in y
4.595 * [backup-simplify]: Simplify 0 into 0
4.595 * [backup-simplify]: Simplify 1 into 1
4.595 * [backup-simplify]: Simplify (* 1 1) into 1
4.595 * [backup-simplify]: Simplify (/ 1 1) into 1
4.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.596 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.596 * [taylor]: Taking taylor expansion of x in y
4.596 * [backup-simplify]: Simplify x into x
4.596 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.596 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.596 * [backup-simplify]: Simplify (- 1) into -1
4.596 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.597 * [backup-simplify]: Simplify (+ 0 1) into 1
4.597 * [backup-simplify]: Simplify (* -1 1) into -1
4.597 * [backup-simplify]: Simplify (+ 1 0) into 1
4.598 * [backup-simplify]: Simplify (/ -1 1) into -1
4.598 * [backup-simplify]: Simplify (* -1 -1) into 1
4.599 * [backup-simplify]: Simplify (* -1 1) into -1
4.599 * [taylor]: Taking taylor expansion of -1 in x
4.599 * [backup-simplify]: Simplify -1 into -1
4.599 * [backup-simplify]: Simplify -1 into -1
4.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.600 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.601 * [backup-simplify]: Simplify (- 0) into 0
4.601 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.601 * [backup-simplify]: Simplify (+ (* -1 (/ 1 x)) (* (/ 1 x) 1)) into 0
4.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (+ 0 0) into 0
4.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.604 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.605 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
4.605 * [taylor]: Taking taylor expansion of 0 in x
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify 0 into 0
4.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.606 * [backup-simplify]: Simplify (+ 0 0) into 0
4.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.610 * [backup-simplify]: Simplify (- 0) into 0
4.611 * [backup-simplify]: Simplify (+ 0 0) into 0
4.612 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2))
4.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.614 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.615 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 2)) 1) (+ (* -1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow x 2)))
4.615 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow x 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow x 2))) -1))) into (- (* 4 (/ 1 (pow x 2))))
4.616 * [backup-simplify]: Simplify (+ (* -1 (- (* 4 (/ 1 (pow x 2))))) (+ (* 0 0) (* (* 2 (/ 1 (pow x 2))) 1))) into (* 6 (/ 1 (pow x 2)))
4.616 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow x 2))) in x
4.616 * [taylor]: Taking taylor expansion of 6 in x
4.616 * [backup-simplify]: Simplify 6 into 6
4.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.616 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.616 * [taylor]: Taking taylor expansion of x in x
4.616 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 1 into 1
4.617 * [backup-simplify]: Simplify (* 1 1) into 1
4.617 * [backup-simplify]: Simplify (/ 1 1) into 1
4.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify 0 into 0
4.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.622 * [backup-simplify]: Simplify (+ 0 0) into 0
4.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.623 * [backup-simplify]: Simplify (- 0) into 0
4.623 * [backup-simplify]: Simplify (+ 0 0) into 0
4.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
4.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.625 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.626 * [backup-simplify]: Simplify (+ 0 0) into 0
4.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (* 2 (/ 1 (pow x 2))) (/ 0 1)))) into 0
4.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow x 2)))) (+ (* (* 2 (/ 1 (pow x 2))) 0) (* 0 -1)))) into 0
4.628 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 4 (/ 1 (pow x 2))))) (+ (* (* 2 (/ 1 (pow x 2))) 0) (* 0 1)))) into 0
4.628 * [taylor]: Taking taylor expansion of 0 in x
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify 0 into 0
4.628 * [backup-simplify]: Simplify -1 into -1
4.629 * [backup-simplify]: Simplify (pow (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y))))) 3) into (pow (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3)
4.629 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3) in (y x) around 0
4.629 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3) in x
4.629 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
4.629 * [taylor]: Taking taylor expansion of -1 in x
4.629 * [backup-simplify]: Simplify -1 into -1
4.629 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.629 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
4.629 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.629 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.629 * [taylor]: Taking taylor expansion of y in x
4.629 * [backup-simplify]: Simplify y into y
4.629 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.629 * [taylor]: Taking taylor expansion of x in x
4.629 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify 1 into 1
4.629 * [backup-simplify]: Simplify (/ 1 1) into 1
4.629 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.630 * [taylor]: Taking taylor expansion of x in x
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 1 into 1
4.630 * [backup-simplify]: Simplify (/ 1 1) into 1
4.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.630 * [taylor]: Taking taylor expansion of y in x
4.630 * [backup-simplify]: Simplify y into y
4.630 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.630 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.630 * [taylor]: Taking taylor expansion of y in x
4.630 * [backup-simplify]: Simplify y into y
4.630 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.630 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.630 * [taylor]: Taking taylor expansion of x in x
4.630 * [backup-simplify]: Simplify 0 into 0
4.630 * [backup-simplify]: Simplify 1 into 1
4.630 * [backup-simplify]: Simplify (* 1 1) into 1
4.631 * [backup-simplify]: Simplify (/ 1 1) into 1
4.631 * [backup-simplify]: Simplify (- 1) into -1
4.631 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.631 * [backup-simplify]: Simplify (+ 1 0) into 1
4.632 * [backup-simplify]: Simplify (* -1 1) into -1
4.632 * [backup-simplify]: Simplify (+ 0 1) into 1
4.632 * [backup-simplify]: Simplify (/ -1 1) into -1
4.632 * [backup-simplify]: Simplify (* -1 -1) into 1
4.632 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3) in y
4.633 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
4.633 * [taylor]: Taking taylor expansion of -1 in y
4.633 * [backup-simplify]: Simplify -1 into -1
4.633 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.633 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
4.633 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.633 * [taylor]: Taking taylor expansion of y in y
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 1 into 1
4.633 * [backup-simplify]: Simplify (/ 1 1) into 1
4.633 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.633 * [taylor]: Taking taylor expansion of x in y
4.633 * [backup-simplify]: Simplify x into x
4.633 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.633 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.633 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.633 * [taylor]: Taking taylor expansion of x in y
4.633 * [backup-simplify]: Simplify x into x
4.633 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.633 * [taylor]: Taking taylor expansion of y in y
4.633 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify 1 into 1
4.633 * [backup-simplify]: Simplify (/ 1 1) into 1
4.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.633 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.633 * [taylor]: Taking taylor expansion of y in y
4.633 * [backup-simplify]: Simplify 0 into 0
4.634 * [backup-simplify]: Simplify 1 into 1
4.634 * [backup-simplify]: Simplify (* 1 1) into 1
4.634 * [backup-simplify]: Simplify (/ 1 1) into 1
4.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.634 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.634 * [taylor]: Taking taylor expansion of x in y
4.634 * [backup-simplify]: Simplify x into x
4.634 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.634 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.634 * [backup-simplify]: Simplify (+ 1 0) into 1
4.635 * [backup-simplify]: Simplify (+ 0 1) into 1
4.635 * [backup-simplify]: Simplify (* 1 1) into 1
4.635 * [backup-simplify]: Simplify (+ 1 0) into 1
4.635 * [backup-simplify]: Simplify (/ 1 1) into 1
4.636 * [backup-simplify]: Simplify (* -1 1) into -1
4.636 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 3) in y
4.636 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
4.636 * [taylor]: Taking taylor expansion of -1 in y
4.636 * [backup-simplify]: Simplify -1 into -1
4.636 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.636 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
4.636 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.636 * [taylor]: Taking taylor expansion of y in y
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify 1 into 1
4.636 * [backup-simplify]: Simplify (/ 1 1) into 1
4.636 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.636 * [taylor]: Taking taylor expansion of x in y
4.636 * [backup-simplify]: Simplify x into x
4.636 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.636 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.636 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.636 * [taylor]: Taking taylor expansion of x in y
4.636 * [backup-simplify]: Simplify x into x
4.636 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.636 * [taylor]: Taking taylor expansion of y in y
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify 1 into 1
4.637 * [backup-simplify]: Simplify (/ 1 1) into 1
4.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.637 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.637 * [taylor]: Taking taylor expansion of y in y
4.637 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify 1 into 1
4.637 * [backup-simplify]: Simplify (* 1 1) into 1
4.637 * [backup-simplify]: Simplify (/ 1 1) into 1
4.637 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.637 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.637 * [taylor]: Taking taylor expansion of x in y
4.637 * [backup-simplify]: Simplify x into x
4.637 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.638 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.638 * [backup-simplify]: Simplify (+ 1 0) into 1
4.638 * [backup-simplify]: Simplify (+ 0 1) into 1
4.638 * [backup-simplify]: Simplify (* 1 1) into 1
4.639 * [backup-simplify]: Simplify (+ 1 0) into 1
4.639 * [backup-simplify]: Simplify (/ 1 1) into 1
4.639 * [backup-simplify]: Simplify (* -1 1) into -1
4.639 * [backup-simplify]: Simplify (* -1 -1) into 1
4.640 * [backup-simplify]: Simplify (* -1 1) into -1
4.640 * [taylor]: Taking taylor expansion of -1 in x
4.640 * [backup-simplify]: Simplify -1 into -1
4.640 * [backup-simplify]: Simplify -1 into -1
4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.640 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.641 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
4.641 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x))
4.641 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (- (/ 1 x)) 1)) into 0
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.642 * [backup-simplify]: Simplify (+ 0 0) into 0
4.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.643 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
4.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
4.644 * [taylor]: Taking taylor expansion of 0 in x
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify 0 into 0
4.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.645 * [backup-simplify]: Simplify (+ 0 0) into 0
4.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.646 * [backup-simplify]: Simplify (- 0) into 0
4.646 * [backup-simplify]: Simplify (+ 0 0) into 0
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) (/ 1 x)) (* 0 1))) into (- (/ 1 (pow x 2)))
4.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.648 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.649 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2))))
4.650 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1))) into (* 2 (/ 1 (pow x 2)))
4.651 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow x 2)))) (+ (* 0 0) (* (* 2 (/ 1 (pow x 2))) -1))) into (- (* 4 (/ 1 (pow x 2))))
4.652 * [backup-simplify]: Simplify (+ (* -1 (- (* 4 (/ 1 (pow x 2))))) (+ (* 0 0) (* (* 2 (/ 1 (pow x 2))) 1))) into (* 6 (/ 1 (pow x 2)))
4.652 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow x 2))) in x
4.652 * [taylor]: Taking taylor expansion of 6 in x
4.652 * [backup-simplify]: Simplify 6 into 6
4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.652 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.652 * [taylor]: Taking taylor expansion of x in x
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 1 into 1
4.652 * [backup-simplify]: Simplify (* 1 1) into 1
4.653 * [backup-simplify]: Simplify (/ 1 1) into 1
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.657 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0
4.657 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.659 * [backup-simplify]: Simplify (+ 0 0) into 0
4.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.660 * [backup-simplify]: Simplify (- 0) into 0
4.661 * [backup-simplify]: Simplify (+ 0 0) into 0
4.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.664 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.664 * [backup-simplify]: Simplify (+ 0 0) into 0
4.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0
4.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1)))) into 0
4.669 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow x 2)))) (+ (* (* 2 (/ 1 (pow x 2))) 0) (* 0 -1)))) into 0
4.670 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 4 (/ 1 (pow x 2))))) (+ (* (* 2 (/ 1 (pow x 2))) 0) (* 0 1)))) into 0
4.670 * [taylor]: Taking taylor expansion of 0 in x
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify -1 into -1
4.670 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.670 * [backup-simplify]: Simplify (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2)))
4.671 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (y x) around 0
4.671 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
4.671 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.671 * [taylor]: Taking taylor expansion of (+ x y) in x
4.671 * [taylor]: Taking taylor expansion of x in x
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [taylor]: Taking taylor expansion of y in x
4.671 * [backup-simplify]: Simplify y into y
4.671 * [taylor]: Taking taylor expansion of (- x y) in x
4.671 * [taylor]: Taking taylor expansion of x in x
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [taylor]: Taking taylor expansion of y in x
4.671 * [backup-simplify]: Simplify y into y
4.671 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.671 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.671 * [taylor]: Taking taylor expansion of y in x
4.671 * [backup-simplify]: Simplify y into y
4.671 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.671 * [taylor]: Taking taylor expansion of x in x
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.671 * [backup-simplify]: Simplify (+ 0 y) into y
4.671 * [backup-simplify]: Simplify (- y) into (- y)
4.671 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.671 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.671 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.672 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.672 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.672 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
4.672 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.672 * [taylor]: Taking taylor expansion of (+ x y) in y
4.672 * [taylor]: Taking taylor expansion of x in y
4.672 * [backup-simplify]: Simplify x into x
4.672 * [taylor]: Taking taylor expansion of y in y
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [taylor]: Taking taylor expansion of (- x y) in y
4.672 * [taylor]: Taking taylor expansion of x in y
4.672 * [backup-simplify]: Simplify x into x
4.672 * [taylor]: Taking taylor expansion of y in y
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.672 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.672 * [taylor]: Taking taylor expansion of y in y
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.672 * [taylor]: Taking taylor expansion of x in y
4.672 * [backup-simplify]: Simplify x into x
4.672 * [backup-simplify]: Simplify (+ x 0) into x
4.673 * [backup-simplify]: Simplify (- 0) into 0
4.673 * [backup-simplify]: Simplify (+ x 0) into x
4.673 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.673 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.673 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.673 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.673 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
4.673 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.673 * [taylor]: Taking taylor expansion of (+ x y) in y
4.673 * [taylor]: Taking taylor expansion of x in y
4.674 * [backup-simplify]: Simplify x into x
4.674 * [taylor]: Taking taylor expansion of y in y
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify 1 into 1
4.674 * [taylor]: Taking taylor expansion of (- x y) in y
4.674 * [taylor]: Taking taylor expansion of x in y
4.674 * [backup-simplify]: Simplify x into x
4.674 * [taylor]: Taking taylor expansion of y in y
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify 1 into 1
4.674 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.674 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.674 * [taylor]: Taking taylor expansion of y in y
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify 1 into 1
4.674 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.674 * [taylor]: Taking taylor expansion of x in y
4.674 * [backup-simplify]: Simplify x into x
4.674 * [backup-simplify]: Simplify (+ x 0) into x
4.674 * [backup-simplify]: Simplify (- 0) into 0
4.674 * [backup-simplify]: Simplify (+ x 0) into x
4.674 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.675 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.675 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.675 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.675 * [taylor]: Taking taylor expansion of 1 in x
4.675 * [backup-simplify]: Simplify 1 into 1
4.675 * [backup-simplify]: Simplify 1 into 1
4.675 * [backup-simplify]: Simplify (- 1) into -1
4.676 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.677 * [backup-simplify]: Simplify (+ 0 1) into 1
4.677 * [backup-simplify]: Simplify (+ (* x -1) (* 1 x)) into 0
4.677 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.677 * [backup-simplify]: Simplify (+ 0 0) into 0
4.678 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))))) into 0
4.678 * [taylor]: Taking taylor expansion of 0 in x
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify 0 into 0
4.678 * [backup-simplify]: Simplify (- 0) into 0
4.678 * [backup-simplify]: Simplify (+ 0 0) into 0
4.679 * [backup-simplify]: Simplify (+ 0 0) into 0
4.679 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 -1) (* 0 x))) into (- 1)
4.680 * [backup-simplify]: Simplify (* 1 1) into 1
4.680 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.681 * [backup-simplify]: Simplify (+ 1 0) into 1
4.682 * [backup-simplify]: Simplify (- (/ (- 1) (pow x 2)) (+ (* 1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 2 (/ 1 (pow x 2))))
4.682 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x
4.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
4.682 * [taylor]: Taking taylor expansion of 2 in x
4.682 * [backup-simplify]: Simplify 2 into 2
4.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.682 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.682 * [taylor]: Taking taylor expansion of x in x
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 1 into 1
4.682 * [backup-simplify]: Simplify (* 1 1) into 1
4.683 * [backup-simplify]: Simplify (/ 1 1) into 1
4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.687 * [backup-simplify]: Simplify (- 0) into 0
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify (- 0) into 0
4.688 * [backup-simplify]: Simplify (+ 0 0) into 0
4.688 * [backup-simplify]: Simplify (+ 0 0) into 0
4.689 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 -1) (* 0 x)))) into 0
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.691 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.691 * [backup-simplify]: Simplify (+ 0 0) into 0
4.692 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 (pow x 2))))) into 0
4.692 * [taylor]: Taking taylor expansion of 0 in x
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 1 into 1
4.693 * [backup-simplify]: Simplify (cbrt (pow (/ (+ (/ 1 y) (/ 1 x)) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y)))) 3)) into (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.693 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
4.693 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
4.693 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.693 * [taylor]: Taking taylor expansion of x in x
4.693 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify 1 into 1
4.693 * [backup-simplify]: Simplify (/ 1 1) into 1
4.693 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.693 * [taylor]: Taking taylor expansion of y in x
4.693 * [backup-simplify]: Simplify y into y
4.693 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.693 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.693 * [taylor]: Taking taylor expansion of x in x
4.693 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify 1 into 1
4.694 * [backup-simplify]: Simplify (/ 1 1) into 1
4.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.694 * [taylor]: Taking taylor expansion of y in x
4.694 * [backup-simplify]: Simplify y into y
4.694 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.694 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.694 * [taylor]: Taking taylor expansion of y in x
4.694 * [backup-simplify]: Simplify y into y
4.694 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.694 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.694 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.694 * [taylor]: Taking taylor expansion of x in x
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 1 into 1
4.694 * [backup-simplify]: Simplify (* 1 1) into 1
4.694 * [backup-simplify]: Simplify (/ 1 1) into 1
4.695 * [backup-simplify]: Simplify (+ 1 0) into 1
4.695 * [backup-simplify]: Simplify (+ 1 0) into 1
4.695 * [backup-simplify]: Simplify (* 1 1) into 1
4.696 * [backup-simplify]: Simplify (+ 0 1) into 1
4.696 * [backup-simplify]: Simplify (/ 1 1) into 1
4.696 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.696 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y
4.696 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.696 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.696 * [taylor]: Taking taylor expansion of x in y
4.696 * [backup-simplify]: Simplify x into x
4.696 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.696 * [taylor]: Taking taylor expansion of y in y
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 1 into 1
4.696 * [backup-simplify]: Simplify (/ 1 1) into 1
4.696 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.696 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.696 * [taylor]: Taking taylor expansion of x in y
4.696 * [backup-simplify]: Simplify x into x
4.696 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.696 * [taylor]: Taking taylor expansion of y in y
4.696 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify 1 into 1
4.697 * [backup-simplify]: Simplify (/ 1 1) into 1
4.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.697 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.697 * [taylor]: Taking taylor expansion of y in y
4.697 * [backup-simplify]: Simplify 0 into 0
4.697 * [backup-simplify]: Simplify 1 into 1
4.697 * [backup-simplify]: Simplify (* 1 1) into 1
4.697 * [backup-simplify]: Simplify (/ 1 1) into 1
4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.697 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.697 * [taylor]: Taking taylor expansion of x in y
4.697 * [backup-simplify]: Simplify x into x
4.697 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.697 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.698 * [backup-simplify]: Simplify (+ 0 1) into 1
4.698 * [backup-simplify]: Simplify (- 1) into -1
4.698 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.699 * [backup-simplify]: Simplify (* 1 -1) into -1
4.699 * [backup-simplify]: Simplify (+ 1 0) into 1
4.699 * [backup-simplify]: Simplify (/ -1 1) into -1
4.699 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.699 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y
4.699 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.699 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.699 * [taylor]: Taking taylor expansion of x in y
4.699 * [backup-simplify]: Simplify x into x
4.699 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.699 * [taylor]: Taking taylor expansion of y in y
4.699 * [backup-simplify]: Simplify 0 into 0
4.699 * [backup-simplify]: Simplify 1 into 1
4.700 * [backup-simplify]: Simplify (/ 1 1) into 1
4.700 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.700 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.700 * [taylor]: Taking taylor expansion of x in y
4.700 * [backup-simplify]: Simplify x into x
4.700 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.700 * [taylor]: Taking taylor expansion of y in y
4.700 * [backup-simplify]: Simplify 0 into 0
4.700 * [backup-simplify]: Simplify 1 into 1
4.700 * [backup-simplify]: Simplify (/ 1 1) into 1
4.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.700 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.700 * [taylor]: Taking taylor expansion of y in y
4.700 * [backup-simplify]: Simplify 0 into 0
4.700 * [backup-simplify]: Simplify 1 into 1
4.700 * [backup-simplify]: Simplify (* 1 1) into 1
4.701 * [backup-simplify]: Simplify (/ 1 1) into 1
4.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.701 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.701 * [taylor]: Taking taylor expansion of x in y
4.701 * [backup-simplify]: Simplify x into x
4.701 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.701 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.701 * [backup-simplify]: Simplify (+ 0 1) into 1
4.701 * [backup-simplify]: Simplify (- 1) into -1
4.702 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.702 * [backup-simplify]: Simplify (* 1 -1) into -1
4.702 * [backup-simplify]: Simplify (+ 1 0) into 1
4.702 * [backup-simplify]: Simplify (/ -1 1) into -1
4.702 * [taylor]: Taking taylor expansion of -1 in x
4.702 * [backup-simplify]: Simplify -1 into -1
4.702 * [backup-simplify]: Simplify -1 into -1
4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.703 * [backup-simplify]: Simplify (- 0) into 0
4.703 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.704 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) -1)) into 0
4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.705 * [backup-simplify]: Simplify (+ 0 0) into 0
4.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.705 * [taylor]: Taking taylor expansion of 0 in x
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (- 0) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 -1))) into (/ 1 (pow x 2))
4.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.709 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.710 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 2)) 1) (+ (* -1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow x 2)))
4.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
4.710 * [taylor]: Taking taylor expansion of 2 in x
4.710 * [backup-simplify]: Simplify 2 into 2
4.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.710 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.710 * [taylor]: Taking taylor expansion of x in x
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.710 * [backup-simplify]: Simplify (* 1 1) into 1
4.710 * [backup-simplify]: Simplify (/ 1 1) into 1
4.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.714 * [backup-simplify]: Simplify (- 0) into 0
4.714 * [backup-simplify]: Simplify (+ 0 0) into 0
4.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.715 * [backup-simplify]: Simplify (+ 0 0) into 0
4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 -1)))) into 0
4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.717 * [backup-simplify]: Simplify (+ 0 0) into 0
4.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (* 2 (/ 1 (pow x 2))) (/ 0 1)))) into 0
4.719 * [taylor]: Taking taylor expansion of 0 in x
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify -1 into -1
4.719 * [backup-simplify]: Simplify (cbrt (pow (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y))))) 3)) into (/ (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.719 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
4.719 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.719 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) in x
4.719 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.719 * [taylor]: Taking taylor expansion of y in x
4.719 * [backup-simplify]: Simplify y into y
4.719 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.719 * [taylor]: Taking taylor expansion of x in x
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 1 into 1
4.720 * [backup-simplify]: Simplify (/ 1 1) into 1
4.720 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 x) (/ 1 y))) in x
4.720 * [taylor]: Taking taylor expansion of (cbrt -1) in x
4.720 * [taylor]: Taking taylor expansion of -1 in x
4.720 * [backup-simplify]: Simplify -1 into -1
4.720 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.721 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.721 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.721 * [taylor]: Taking taylor expansion of x in x
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.721 * [backup-simplify]: Simplify (/ 1 1) into 1
4.721 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.721 * [taylor]: Taking taylor expansion of y in x
4.721 * [backup-simplify]: Simplify y into y
4.721 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.721 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.721 * [taylor]: Taking taylor expansion of y in x
4.721 * [backup-simplify]: Simplify y into y
4.721 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.721 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.722 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.722 * [taylor]: Taking taylor expansion of x in x
4.722 * [backup-simplify]: Simplify 0 into 0
4.722 * [backup-simplify]: Simplify 1 into 1
4.722 * [backup-simplify]: Simplify (* 1 1) into 1
4.722 * [backup-simplify]: Simplify (/ 1 1) into 1
4.723 * [backup-simplify]: Simplify (- 1) into -1
4.723 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.725 * [backup-simplify]: Simplify (+ 1 0) into 1
4.727 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1)
4.727 * [backup-simplify]: Simplify (* -1 (cbrt -1)) into (* -1 (cbrt -1))
4.728 * [backup-simplify]: Simplify (+ 0 1) into 1
4.729 * [backup-simplify]: Simplify (/ (* -1 (cbrt -1)) 1) into (* -1 (cbrt -1))
4.729 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.729 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) in y
4.730 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.730 * [taylor]: Taking taylor expansion of y in y
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 1 into 1
4.730 * [backup-simplify]: Simplify (/ 1 1) into 1
4.730 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.730 * [taylor]: Taking taylor expansion of x in y
4.730 * [backup-simplify]: Simplify x into x
4.730 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.730 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 x) (/ 1 y))) in y
4.730 * [taylor]: Taking taylor expansion of (cbrt -1) in y
4.730 * [taylor]: Taking taylor expansion of -1 in y
4.730 * [backup-simplify]: Simplify -1 into -1
4.731 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.731 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.731 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.731 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.732 * [taylor]: Taking taylor expansion of x in y
4.732 * [backup-simplify]: Simplify x into x
4.732 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.732 * [taylor]: Taking taylor expansion of y in y
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 1 into 1
4.732 * [backup-simplify]: Simplify (/ 1 1) into 1
4.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.732 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.732 * [taylor]: Taking taylor expansion of y in y
4.732 * [backup-simplify]: Simplify 0 into 0
4.732 * [backup-simplify]: Simplify 1 into 1
4.733 * [backup-simplify]: Simplify (* 1 1) into 1
4.733 * [backup-simplify]: Simplify (/ 1 1) into 1
4.733 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.733 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.733 * [taylor]: Taking taylor expansion of x in y
4.733 * [backup-simplify]: Simplify x into x
4.733 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.733 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.734 * [backup-simplify]: Simplify (+ 1 0) into 1
4.734 * [backup-simplify]: Simplify (+ 0 1) into 1
4.735 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1)
4.736 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1)
4.737 * [backup-simplify]: Simplify (+ 1 0) into 1
4.738 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
4.738 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.738 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (* (cbrt -1) (+ (/ 1 x) (/ 1 y)))) in y
4.738 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.738 * [taylor]: Taking taylor expansion of y in y
4.738 * [backup-simplify]: Simplify 0 into 0
4.738 * [backup-simplify]: Simplify 1 into 1
4.739 * [backup-simplify]: Simplify (/ 1 1) into 1
4.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.739 * [taylor]: Taking taylor expansion of x in y
4.739 * [backup-simplify]: Simplify x into x
4.739 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.739 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 x) (/ 1 y))) in y
4.739 * [taylor]: Taking taylor expansion of (cbrt -1) in y
4.739 * [taylor]: Taking taylor expansion of -1 in y
4.739 * [backup-simplify]: Simplify -1 into -1
4.740 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.740 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.740 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.740 * [taylor]: Taking taylor expansion of x in y
4.740 * [backup-simplify]: Simplify x into x
4.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.741 * [taylor]: Taking taylor expansion of y in y
4.741 * [backup-simplify]: Simplify 0 into 0
4.741 * [backup-simplify]: Simplify 1 into 1
4.741 * [backup-simplify]: Simplify (/ 1 1) into 1
4.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.741 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.741 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.741 * [taylor]: Taking taylor expansion of y in y
4.741 * [backup-simplify]: Simplify 0 into 0
4.741 * [backup-simplify]: Simplify 1 into 1
4.741 * [backup-simplify]: Simplify (* 1 1) into 1
4.742 * [backup-simplify]: Simplify (/ 1 1) into 1
4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.742 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.742 * [taylor]: Taking taylor expansion of x in y
4.742 * [backup-simplify]: Simplify x into x
4.742 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.742 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.742 * [backup-simplify]: Simplify (+ 1 0) into 1
4.742 * [backup-simplify]: Simplify (+ 0 1) into 1
4.743 * [backup-simplify]: Simplify (* (cbrt -1) 1) into (cbrt -1)
4.744 * [backup-simplify]: Simplify (* 1 (cbrt -1)) into (cbrt -1)
4.744 * [backup-simplify]: Simplify (+ 1 0) into 1
4.745 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
4.745 * [taylor]: Taking taylor expansion of (cbrt -1) in x
4.745 * [taylor]: Taking taylor expansion of -1 in x
4.745 * [backup-simplify]: Simplify -1 into -1
4.745 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.746 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.746 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.746 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.747 * [backup-simplify]: Simplify (+ (* (cbrt -1) (/ 1 x)) (* 0 1)) into (/ (cbrt -1) x)
4.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.748 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
4.748 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x))
4.748 * [backup-simplify]: Simplify (+ (* 1 (/ (cbrt -1) x)) (* (- (/ 1 x)) (cbrt -1))) into 0
4.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (+ 0 0) into 0
4.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
4.750 * [taylor]: Taking taylor expansion of 0 in x
4.750 * [backup-simplify]: Simplify 0 into 0
4.750 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify 0 into 0
4.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.752 * [backup-simplify]: Simplify (+ 0 0) into 0
4.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.753 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 (/ 1 x)) (* 0 1))) into 0
4.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.754 * [backup-simplify]: Simplify (- 0) into 0
4.755 * [backup-simplify]: Simplify (+ 0 0) into 0
4.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) (/ (cbrt -1) x)) (* 0 (cbrt -1)))) into (- (/ (cbrt -1) (pow x 2)))
4.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.757 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.758 * [backup-simplify]: Simplify (- (/ (- (/ (cbrt -1) (pow x 2))) 1) (+ (* (cbrt -1) (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ (cbrt -1) (pow x 2))))
4.758 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cbrt -1) (pow x 2)))) in x
4.759 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow x 2))) in x
4.759 * [taylor]: Taking taylor expansion of 2 in x
4.759 * [backup-simplify]: Simplify 2 into 2
4.759 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow x 2)) in x
4.759 * [taylor]: Taking taylor expansion of (cbrt -1) in x
4.759 * [taylor]: Taking taylor expansion of -1 in x
4.759 * [backup-simplify]: Simplify -1 into -1
4.759 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.759 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
4.759 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.759 * [taylor]: Taking taylor expansion of x in x
4.759 * [backup-simplify]: Simplify 0 into 0
4.760 * [backup-simplify]: Simplify 1 into 1
4.760 * [backup-simplify]: Simplify (* 1 1) into 1
4.760 * [backup-simplify]: Simplify (/ (cbrt -1) 1) into (cbrt -1)
4.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)))) into 0
4.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
4.767 * [backup-simplify]: Simplify (- 0) into 0
4.767 * [backup-simplify]: Simplify 0 into 0
4.767 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
4.768 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.770 * [backup-simplify]: Simplify (+ 0 0) into 0
4.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
4.773 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
4.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.775 * [backup-simplify]: Simplify (- 0) into 0
4.775 * [backup-simplify]: Simplify (+ 0 0) into 0
4.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) 0) (+ (* 0 (/ (cbrt -1) x)) (* 0 (cbrt -1))))) into 0
4.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.779 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.780 * [backup-simplify]: Simplify (+ 0 0) into 0
4.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt -1) (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ (cbrt -1) (pow x 2)))) (/ 0 1)))) into 0
4.782 * [taylor]: Taking taylor expansion of 0 in x
4.782 * [backup-simplify]: Simplify 0 into 0
4.782 * [backup-simplify]: Simplify 0 into 0
4.783 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
4.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
4.783 * [backup-simplify]: Simplify (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2)))
4.783 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (y x) around 0
4.783 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
4.783 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.783 * [taylor]: Taking taylor expansion of (+ x y) in x
4.783 * [taylor]: Taking taylor expansion of x in x
4.783 * [backup-simplify]: Simplify 0 into 0
4.783 * [backup-simplify]: Simplify 1 into 1
4.783 * [taylor]: Taking taylor expansion of y in x
4.783 * [backup-simplify]: Simplify y into y
4.783 * [taylor]: Taking taylor expansion of (- x y) in x
4.783 * [taylor]: Taking taylor expansion of x in x
4.783 * [backup-simplify]: Simplify 0 into 0
4.784 * [backup-simplify]: Simplify 1 into 1
4.784 * [taylor]: Taking taylor expansion of y in x
4.784 * [backup-simplify]: Simplify y into y
4.784 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.784 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.784 * [taylor]: Taking taylor expansion of y in x
4.784 * [backup-simplify]: Simplify y into y
4.784 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.784 * [taylor]: Taking taylor expansion of x in x
4.784 * [backup-simplify]: Simplify 0 into 0
4.784 * [backup-simplify]: Simplify 1 into 1
4.784 * [backup-simplify]: Simplify (+ 0 y) into y
4.784 * [backup-simplify]: Simplify (- y) into (- y)
4.784 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.784 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.784 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.784 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.784 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
4.784 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.785 * [taylor]: Taking taylor expansion of (+ x y) in y
4.785 * [taylor]: Taking taylor expansion of x in y
4.785 * [backup-simplify]: Simplify x into x
4.785 * [taylor]: Taking taylor expansion of y in y
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [taylor]: Taking taylor expansion of (- x y) in y
4.785 * [taylor]: Taking taylor expansion of x in y
4.785 * [backup-simplify]: Simplify x into x
4.785 * [taylor]: Taking taylor expansion of y in y
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.785 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.785 * [taylor]: Taking taylor expansion of y in y
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.785 * [taylor]: Taking taylor expansion of x in y
4.785 * [backup-simplify]: Simplify x into x
4.785 * [backup-simplify]: Simplify (+ x 0) into x
4.786 * [backup-simplify]: Simplify (- 0) into 0
4.786 * [backup-simplify]: Simplify (+ x 0) into x
4.786 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.786 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.786 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.786 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.786 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
4.786 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.786 * [taylor]: Taking taylor expansion of (+ x y) in y
4.786 * [taylor]: Taking taylor expansion of x in y
4.786 * [backup-simplify]: Simplify x into x
4.786 * [taylor]: Taking taylor expansion of y in y
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 1 into 1
4.786 * [taylor]: Taking taylor expansion of (- x y) in y
4.786 * [taylor]: Taking taylor expansion of x in y
4.786 * [backup-simplify]: Simplify x into x
4.786 * [taylor]: Taking taylor expansion of y in y
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 1 into 1
4.786 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.786 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.786 * [taylor]: Taking taylor expansion of y in y
4.786 * [backup-simplify]: Simplify 0 into 0
4.786 * [backup-simplify]: Simplify 1 into 1
4.787 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.787 * [taylor]: Taking taylor expansion of x in y
4.787 * [backup-simplify]: Simplify x into x
4.787 * [backup-simplify]: Simplify (+ x 0) into x
4.787 * [backup-simplify]: Simplify (- 0) into 0
4.787 * [backup-simplify]: Simplify (+ x 0) into x
4.787 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.787 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.787 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.788 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.788 * [taylor]: Taking taylor expansion of 1 in x
4.788 * [backup-simplify]: Simplify 1 into 1
4.788 * [backup-simplify]: Simplify 1 into 1
4.788 * [backup-simplify]: Simplify (- 1) into -1
4.789 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.789 * [backup-simplify]: Simplify (+ 0 1) into 1
4.789 * [backup-simplify]: Simplify (+ (* x -1) (* 1 x)) into 0
4.789 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.789 * [backup-simplify]: Simplify (+ 0 0) into 0
4.789 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))))) into 0
4.789 * [taylor]: Taking taylor expansion of 0 in x
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify 0 into 0
4.790 * [backup-simplify]: Simplify (- 0) into 0
4.790 * [backup-simplify]: Simplify (+ 0 0) into 0
4.790 * [backup-simplify]: Simplify (+ 0 0) into 0
4.791 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 -1) (* 0 x))) into (- 1)
4.791 * [backup-simplify]: Simplify (* 1 1) into 1
4.791 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.792 * [backup-simplify]: Simplify (+ 1 0) into 1
4.792 * [backup-simplify]: Simplify (- (/ (- 1) (pow x 2)) (+ (* 1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 2 (/ 1 (pow x 2))))
4.792 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x
4.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
4.792 * [taylor]: Taking taylor expansion of 2 in x
4.792 * [backup-simplify]: Simplify 2 into 2
4.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.792 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.792 * [taylor]: Taking taylor expansion of x in x
4.792 * [backup-simplify]: Simplify 0 into 0
4.792 * [backup-simplify]: Simplify 1 into 1
4.793 * [backup-simplify]: Simplify (* 1 1) into 1
4.793 * [backup-simplify]: Simplify (/ 1 1) into 1
4.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.796 * [backup-simplify]: Simplify (- 0) into 0
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify (- 0) into 0
4.796 * [backup-simplify]: Simplify (+ 0 0) into 0
4.796 * [backup-simplify]: Simplify (+ 0 0) into 0
4.797 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 -1) (* 0 x)))) into 0
4.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.798 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.798 * [backup-simplify]: Simplify (+ 0 0) into 0
4.799 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 (pow x 2))))) into 0
4.799 * [taylor]: Taking taylor expansion of 0 in x
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 1 into 1
4.799 * [backup-simplify]: Simplify (/ (+ (/ 1 y) (/ 1 x)) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.799 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
4.799 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.799 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x
4.799 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.799 * [taylor]: Taking taylor expansion of x in x
4.799 * [backup-simplify]: Simplify 0 into 0
4.799 * [backup-simplify]: Simplify 1 into 1
4.800 * [backup-simplify]: Simplify (/ 1 1) into 1
4.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.800 * [taylor]: Taking taylor expansion of y in x
4.800 * [backup-simplify]: Simplify y into y
4.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.800 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.800 * [taylor]: Taking taylor expansion of x in x
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify 1 into 1
4.800 * [backup-simplify]: Simplify (/ 1 1) into 1
4.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.800 * [taylor]: Taking taylor expansion of y in x
4.800 * [backup-simplify]: Simplify y into y
4.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.800 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.800 * [taylor]: Taking taylor expansion of y in x
4.800 * [backup-simplify]: Simplify y into y
4.800 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.800 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.800 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.800 * [taylor]: Taking taylor expansion of x in x
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify 1 into 1
4.801 * [backup-simplify]: Simplify (* 1 1) into 1
4.801 * [backup-simplify]: Simplify (/ 1 1) into 1
4.801 * [backup-simplify]: Simplify (+ 1 0) into 1
4.801 * [backup-simplify]: Simplify (+ 1 0) into 1
4.802 * [backup-simplify]: Simplify (* 1 1) into 1
4.802 * [backup-simplify]: Simplify (+ 0 1) into 1
4.802 * [backup-simplify]: Simplify (/ 1 1) into 1
4.802 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.802 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y
4.802 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.802 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.802 * [taylor]: Taking taylor expansion of x in y
4.802 * [backup-simplify]: Simplify x into x
4.802 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.802 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.802 * [taylor]: Taking taylor expansion of y in y
4.802 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify 1 into 1
4.803 * [backup-simplify]: Simplify (/ 1 1) into 1
4.803 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.803 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.803 * [taylor]: Taking taylor expansion of x in y
4.803 * [backup-simplify]: Simplify x into x
4.803 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.803 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.803 * [taylor]: Taking taylor expansion of y in y
4.803 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify 1 into 1
4.803 * [backup-simplify]: Simplify (/ 1 1) into 1
4.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.803 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.803 * [taylor]: Taking taylor expansion of y in y
4.803 * [backup-simplify]: Simplify 0 into 0
4.803 * [backup-simplify]: Simplify 1 into 1
4.803 * [backup-simplify]: Simplify (* 1 1) into 1
4.804 * [backup-simplify]: Simplify (/ 1 1) into 1
4.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.804 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.804 * [taylor]: Taking taylor expansion of x in y
4.804 * [backup-simplify]: Simplify x into x
4.804 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.804 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.804 * [backup-simplify]: Simplify (- 1) into -1
4.804 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.805 * [backup-simplify]: Simplify (+ 0 1) into 1
4.805 * [backup-simplify]: Simplify (* -1 1) into -1
4.805 * [backup-simplify]: Simplify (+ 1 0) into 1
4.806 * [backup-simplify]: Simplify (/ -1 1) into -1
4.806 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.806 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y
4.806 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.806 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.806 * [taylor]: Taking taylor expansion of x in y
4.806 * [backup-simplify]: Simplify x into x
4.806 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.806 * [taylor]: Taking taylor expansion of y in y
4.806 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify 1 into 1
4.806 * [backup-simplify]: Simplify (/ 1 1) into 1
4.806 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.806 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.806 * [taylor]: Taking taylor expansion of x in y
4.806 * [backup-simplify]: Simplify x into x
4.806 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.806 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.806 * [taylor]: Taking taylor expansion of y in y
4.806 * [backup-simplify]: Simplify 0 into 0
4.806 * [backup-simplify]: Simplify 1 into 1
4.806 * [backup-simplify]: Simplify (/ 1 1) into 1
4.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.806 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.806 * [taylor]: Taking taylor expansion of y in y
4.806 * [backup-simplify]: Simplify 0 into 0
4.807 * [backup-simplify]: Simplify 1 into 1
4.807 * [backup-simplify]: Simplify (* 1 1) into 1
4.807 * [backup-simplify]: Simplify (/ 1 1) into 1
4.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.807 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.807 * [taylor]: Taking taylor expansion of x in y
4.807 * [backup-simplify]: Simplify x into x
4.807 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.807 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.807 * [backup-simplify]: Simplify (- 1) into -1
4.808 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.808 * [backup-simplify]: Simplify (+ 0 1) into 1
4.808 * [backup-simplify]: Simplify (* -1 1) into -1
4.809 * [backup-simplify]: Simplify (+ 1 0) into 1
4.809 * [backup-simplify]: Simplify (/ -1 1) into -1
4.809 * [taylor]: Taking taylor expansion of -1 in x
4.809 * [backup-simplify]: Simplify -1 into -1
4.809 * [backup-simplify]: Simplify -1 into -1
4.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.809 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.810 * [backup-simplify]: Simplify (- 0) into 0
4.810 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.810 * [backup-simplify]: Simplify (+ (* -1 (/ 1 x)) (* (/ 1 x) 1)) into 0
4.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.811 * [backup-simplify]: Simplify (+ 0 0) into 0
4.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.812 * [taylor]: Taking taylor expansion of 0 in x
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify 0 into 0
4.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.813 * [backup-simplify]: Simplify (+ 0 0) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.814 * [backup-simplify]: Simplify (- 0) into 0
4.814 * [backup-simplify]: Simplify (+ 0 0) into 0
4.815 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2))
4.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.816 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 2)) 1) (+ (* -1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow x 2)))
4.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
4.816 * [taylor]: Taking taylor expansion of 2 in x
4.816 * [backup-simplify]: Simplify 2 into 2
4.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.816 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.817 * [taylor]: Taking taylor expansion of x in x
4.817 * [backup-simplify]: Simplify 0 into 0
4.817 * [backup-simplify]: Simplify 1 into 1
4.817 * [backup-simplify]: Simplify (* 1 1) into 1
4.817 * [backup-simplify]: Simplify (/ 1 1) into 1
4.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify 0 into 0
4.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.823 * [backup-simplify]: Simplify (+ 0 0) into 0
4.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.825 * [backup-simplify]: Simplify (- 0) into 0
4.825 * [backup-simplify]: Simplify (+ 0 0) into 0
4.826 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
4.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.827 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.827 * [backup-simplify]: Simplify (+ 0 0) into 0
4.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (* 2 (/ 1 (pow x 2))) (/ 0 1)))) into 0
4.829 * [taylor]: Taking taylor expansion of 0 in x
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify -1 into -1
4.829 * [backup-simplify]: Simplify (/ (+ (/ 1 (- y)) (/ 1 (- x))) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
4.829 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
4.829 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
4.829 * [taylor]: Taking taylor expansion of -1 in x
4.829 * [backup-simplify]: Simplify -1 into -1
4.829 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.829 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
4.829 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.829 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.829 * [taylor]: Taking taylor expansion of y in x
4.829 * [backup-simplify]: Simplify y into y
4.829 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.829 * [taylor]: Taking taylor expansion of x in x
4.829 * [backup-simplify]: Simplify 0 into 0
4.829 * [backup-simplify]: Simplify 1 into 1
4.830 * [backup-simplify]: Simplify (/ 1 1) into 1
4.830 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.830 * [taylor]: Taking taylor expansion of x in x
4.830 * [backup-simplify]: Simplify 0 into 0
4.830 * [backup-simplify]: Simplify 1 into 1
4.830 * [backup-simplify]: Simplify (/ 1 1) into 1
4.830 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.830 * [taylor]: Taking taylor expansion of y in x
4.830 * [backup-simplify]: Simplify y into y
4.830 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.830 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.830 * [taylor]: Taking taylor expansion of y in x
4.830 * [backup-simplify]: Simplify y into y
4.830 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.830 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.830 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.830 * [taylor]: Taking taylor expansion of x in x
4.830 * [backup-simplify]: Simplify 0 into 0
4.830 * [backup-simplify]: Simplify 1 into 1
4.831 * [backup-simplify]: Simplify (* 1 1) into 1
4.831 * [backup-simplify]: Simplify (/ 1 1) into 1
4.831 * [backup-simplify]: Simplify (- 1) into -1
4.831 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.832 * [backup-simplify]: Simplify (+ 1 0) into 1
4.832 * [backup-simplify]: Simplify (* -1 1) into -1
4.832 * [backup-simplify]: Simplify (+ 0 1) into 1
4.832 * [backup-simplify]: Simplify (/ -1 1) into -1
4.832 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
4.833 * [taylor]: Taking taylor expansion of -1 in y
4.833 * [backup-simplify]: Simplify -1 into -1
4.833 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.833 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
4.833 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.833 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.833 * [taylor]: Taking taylor expansion of y in y
4.833 * [backup-simplify]: Simplify 0 into 0
4.833 * [backup-simplify]: Simplify 1 into 1
4.833 * [backup-simplify]: Simplify (/ 1 1) into 1
4.833 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.833 * [taylor]: Taking taylor expansion of x in y
4.833 * [backup-simplify]: Simplify x into x
4.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.833 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.833 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.833 * [taylor]: Taking taylor expansion of x in y
4.833 * [backup-simplify]: Simplify x into x
4.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.833 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.833 * [taylor]: Taking taylor expansion of y in y
4.833 * [backup-simplify]: Simplify 0 into 0
4.833 * [backup-simplify]: Simplify 1 into 1
4.833 * [backup-simplify]: Simplify (/ 1 1) into 1
4.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.833 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.833 * [taylor]: Taking taylor expansion of y in y
4.834 * [backup-simplify]: Simplify 0 into 0
4.834 * [backup-simplify]: Simplify 1 into 1
4.834 * [backup-simplify]: Simplify (* 1 1) into 1
4.834 * [backup-simplify]: Simplify (/ 1 1) into 1
4.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.834 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.834 * [taylor]: Taking taylor expansion of x in y
4.834 * [backup-simplify]: Simplify x into x
4.834 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.834 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.835 * [backup-simplify]: Simplify (+ 1 0) into 1
4.835 * [backup-simplify]: Simplify (+ 0 1) into 1
4.835 * [backup-simplify]: Simplify (* 1 1) into 1
4.835 * [backup-simplify]: Simplify (+ 1 0) into 1
4.836 * [backup-simplify]: Simplify (/ 1 1) into 1
4.836 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
4.836 * [taylor]: Taking taylor expansion of -1 in y
4.836 * [backup-simplify]: Simplify -1 into -1
4.836 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.836 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
4.836 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.836 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.836 * [taylor]: Taking taylor expansion of y in y
4.836 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify 1 into 1
4.836 * [backup-simplify]: Simplify (/ 1 1) into 1
4.836 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.836 * [taylor]: Taking taylor expansion of x in y
4.836 * [backup-simplify]: Simplify x into x
4.836 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.836 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.836 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.836 * [taylor]: Taking taylor expansion of x in y
4.836 * [backup-simplify]: Simplify x into x
4.836 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.836 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.836 * [taylor]: Taking taylor expansion of y in y
4.836 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify 1 into 1
4.837 * [backup-simplify]: Simplify (/ 1 1) into 1
4.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.837 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.837 * [taylor]: Taking taylor expansion of y in y
4.837 * [backup-simplify]: Simplify 0 into 0
4.837 * [backup-simplify]: Simplify 1 into 1
4.837 * [backup-simplify]: Simplify (* 1 1) into 1
4.837 * [backup-simplify]: Simplify (/ 1 1) into 1
4.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.837 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.837 * [taylor]: Taking taylor expansion of x in y
4.837 * [backup-simplify]: Simplify x into x
4.837 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.837 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.838 * [backup-simplify]: Simplify (+ 1 0) into 1
4.838 * [backup-simplify]: Simplify (+ 0 1) into 1
4.838 * [backup-simplify]: Simplify (* 1 1) into 1
4.838 * [backup-simplify]: Simplify (+ 1 0) into 1
4.839 * [backup-simplify]: Simplify (/ 1 1) into 1
4.839 * [backup-simplify]: Simplify (* -1 1) into -1
4.839 * [taylor]: Taking taylor expansion of -1 in x
4.839 * [backup-simplify]: Simplify -1 into -1
4.839 * [backup-simplify]: Simplify -1 into -1
4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.840 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.842 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
4.842 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x))
4.842 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (- (/ 1 x)) 1)) into 0
4.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.844 * [backup-simplify]: Simplify (+ 0 0) into 0
4.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.844 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
4.844 * [taylor]: Taking taylor expansion of 0 in x
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.845 * [backup-simplify]: Simplify (+ 0 0) into 0
4.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.846 * [backup-simplify]: Simplify (- 0) into 0
4.847 * [backup-simplify]: Simplify (+ 0 0) into 0
4.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) (/ 1 x)) (* 0 1))) into (- (/ 1 (pow x 2)))
4.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.849 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
4.849 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2))))
4.850 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1))) into (* 2 (/ 1 (pow x 2)))
4.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
4.850 * [taylor]: Taking taylor expansion of 2 in x
4.850 * [backup-simplify]: Simplify 2 into 2
4.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.850 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.850 * [taylor]: Taking taylor expansion of x in x
4.850 * [backup-simplify]: Simplify 0 into 0
4.850 * [backup-simplify]: Simplify 1 into 1
4.850 * [backup-simplify]: Simplify (* 1 1) into 1
4.850 * [backup-simplify]: Simplify (/ 1 1) into 1
4.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.853 * [backup-simplify]: Simplify 0 into 0
4.853 * [backup-simplify]: Simplify 0 into 0
4.853 * [backup-simplify]: Simplify 0 into 0
4.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.854 * [backup-simplify]: Simplify (+ 0 0) into 0
4.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.855 * [backup-simplify]: Simplify (- 0) into 0
4.855 * [backup-simplify]: Simplify (+ 0 0) into 0
4.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
4.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.857 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.858 * [backup-simplify]: Simplify (+ 0 0) into 0
4.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0
4.861 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1)))) into 0
4.861 * [taylor]: Taking taylor expansion of 0 in x
4.861 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify 0 into 0
4.861 * [backup-simplify]: Simplify -1 into -1
4.861 * * * [progress]: simplifying candidates
4.879 * [simplify]: Simplifying:
  (- (log (+ (* x x) (* y y))) (log (- x y)))
  (log (/ (+ (* x x) (* y y)) (- x y)))
  (exp (/ (+ (* x x) (* y y)) (- x y)))
  (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y)))
  (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (cbrt (/ (+ (* x x) (* y y)) (- x y)))
  (* (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (- x y)))
  (sqrt (/ (+ (* x x) (* y y)) (- x y)))
  (sqrt (/ (+ (* x x) (* y y)) (- x y)))
  (- (+ (* x x) (* y y)))
  (- (- x y))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)
  (/ (cbrt (+ (* x x) (* y y))) (- x y))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))
  (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)
  (/ (cbrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) 1)
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y)))
  (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))
  (/ (sqrt (+ (* x x) (* y y))) 1)
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ (* x x) (* y y)) (cbrt (- x y)))
  (/ 1 (sqrt (- x y)))
  (/ (+ (* x x) (* y y)) (sqrt (- x y)))
  (/ 1 1)
  (/ (+ (* x x) (* y y)) (- x y))
  (/ 1 (+ (sqrt x) (sqrt y)))
  (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))
  (/ 1 1)
  (/ (+ (* x x) (* y y)) (- x y))
  (/ 1 (- x y))
  (/ (- x y) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ (* x x) (* y y)) (sqrt (- x y)))
  (/ (+ (* x x) (* y y)) 1)
  (/ (+ (* x x) (* y y)) (+ (sqrt x) (sqrt y)))
  (/ (+ (* x x) (* y y)) 1)
  (/ (- x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (- x y) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (* (- x y) (- (* x x) (* y y)))
  (* (- (log (+ y x)) (- (log (+ (* x x) (* y y))) (log (- x y)))) 3)
  (* (- (log (+ y x)) (log (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (* (log (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (* (log (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (* 1 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) (* (cbrt 3) (cbrt 3)))
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) (sqrt 3))
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 1)
  (pow (* (cbrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))) (cbrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))))) 3)
  (pow (cbrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (sqrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (sqrt (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))) 3)
  (pow (/ (cbrt (+ y x)) (cbrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (cbrt (+ y x)) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (cbrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))) 3)
  (pow (/ (cbrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)) 3)
  (pow (/ (cbrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (cbrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)) 3)
  (pow (/ (cbrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (cbrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (cbrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (sqrt (+ (* x x) (* y y))) 1)) 3)
  (pow (/ (cbrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (cbrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (sqrt (+ (* x x) (* y y))) 1)) 3)
  (pow (/ (cbrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (cbrt (+ y x)) (/ (+ (* x x) (* y y)) (cbrt (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ 1 (sqrt (- x y)))) 3)
  (pow (/ (cbrt (+ y x)) (/ (+ (* x x) (* y y)) (sqrt (- x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ 1 1)) 3)
  (pow (/ (cbrt (+ y x)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ 1 (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (cbrt (+ y x)) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ 1 1)) 3)
  (pow (/ (cbrt (+ y x)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) 3)
  (pow (/ (cbrt (+ y x)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (+ (* x x) (* y y))) 3)
  (pow (/ (cbrt (+ y x)) (/ 1 (- x y))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))) 3)
  (pow (/ (cbrt (+ y x)) (+ (* x x) (+ (* y y) (* x y)))) 3)
  (pow (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
  (pow (/ (cbrt (+ y x)) (+ x y)) 3)
  (pow (/ (sqrt (+ y x)) (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))) 3)
  (pow (/ (sqrt (+ y x)) (cbrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (sqrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)) 3)
  (pow (/ (sqrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (sqrt (+ y x)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)) 3)
  (pow (/ (sqrt (+ y x)) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) 1)) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) 1)) 3)
  (pow (/ (sqrt (+ y x)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (sqrt (+ y x)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (cbrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ 1 (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ 1 1)) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (sqrt (+ y x)) (/ 1 (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ 1 1)) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (sqrt (+ y x)) 1) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (sqrt (+ y x)) (+ (* x x) (* y y))) 3)
  (pow (/ (sqrt (+ y x)) (/ 1 (- x y))) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))) 3)
  (pow (/ (sqrt (+ y x)) (+ (* x x) (+ (* y y) (* x y)))) 3)
  (pow (/ (sqrt (+ y x)) (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
  (pow (/ (sqrt (+ y x)) (+ x y)) 3)
  (pow (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))) 3)
  (pow (/ (+ y x) (cbrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ 1 (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (+ y x) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))) 3)
  (pow (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)) 3)
  (pow (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)) 3)
  (pow (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ 1 (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (/ 1 (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1)) 3)
  (pow (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1)) 3)
  (pow (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ 1 (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (cbrt (- x y)))) 3)
  (pow (/ 1 (/ 1 (sqrt (- x y)))) 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (sqrt (- x y)))) 3)
  (pow (/ 1 (/ 1 1)) 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ 1 (/ 1 (+ (sqrt x) (sqrt y)))) 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))) 3)
  (pow (/ 1 (/ 1 1)) 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ 1 1) 3)
  (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ 1 (+ (* x x) (* y y))) 3)
  (pow (/ (+ y x) (/ 1 (- x y))) 3)
  (pow (/ 1 (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))) 3)
  (pow (/ (+ y x) (+ (* x x) (+ (* y y) (* x y)))) 3)
  (pow (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
  (pow (/ (+ y x) (+ x y)) 3)
  (pow (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))) 3)
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  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (cbrt (- x y))))
  (/ 1 (/ 1 (sqrt (- x y))))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (sqrt (- x y))))
  (/ 1 (/ 1 1))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (/ 1 (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))))
  (/ 1 (/ 1 1))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 1)
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ y x) (/ 1 (- x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (/ (+ y x) (+ (* x x) (+ (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (+ y x) (+ x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y)))))
  (/ (+ y x) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (+ y x) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y))))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (+ y x) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (cbrt (- x y))))
  (/ 1 (/ 1 (sqrt (- x y))))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (sqrt (- x y))))
  (/ 1 (/ 1 1))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (/ 1 (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))))
  (/ 1 (/ 1 1))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 1)
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ y x) (/ 1 (- x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (/ (+ y x) (+ (* x x) (+ (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (+ y x) (+ x y))
  (/ 1 (/ (+ (* x x) (* y y)) (- x y)))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ y x))
  (/ (+ y x) (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y)))))
  (/ (+ y x) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (+ y x) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y))))
  (/ (+ y x) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (+ y x) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (+ y x) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (+ y x) (/ 1 (sqrt (- x y))))
  (/ (+ y x) (/ 1 1))
  (/ (+ y x) (/ 1 (+ (sqrt x) (sqrt y))))
  (/ (+ y x) (/ 1 1))
  (/ (+ y x) 1)
  (/ (+ y x) (+ (* x x) (* y y)))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (/ (+ y x) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (cbrt (+ y x)))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (sqrt (+ y x)))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ y x))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ y x))
  (/ (+ y x) (+ (* x x) (* y y)))
  (* (/ (+ (* x x) (* y y)) (- x y)) (+ (* y y) (- (* x x) (* y x))))
  (* (/ (+ (* x x) (* y y)) (- x y)) (- y x))
  (- (+ x y))
  (+ x y)
  (+ x y)
  1
  -1
  -1
  1
  -1
  (cbrt -1)
  1
  -1
  -1
4.894 * * [simplify]: iteration 0: 487 enodes
5.309 * * [simplify]: iteration 1: 1995 enodes
5.727 * * [simplify]: iteration complete: 5000 enodes
5.728 * * [simplify]: Extracting #0: cost 287 inf + 0
5.734 * * [simplify]: Extracting #1: cost 1565 inf + 5
5.745 * * [simplify]: Extracting #2: cost 2118 inf + 116
5.757 * * [simplify]: Extracting #3: cost 2045 inf + 4081
5.772 * * [simplify]: Extracting #4: cost 1180 inf + 18684
5.781 * * [simplify]: Extracting #5: cost 184 inf + 39224
5.793 * * [simplify]: Extracting #6: cost 3 inf + 44097
5.806 * * [simplify]: Extracting #7: cost 0 inf + 44112
5.821 * [simplify]: Simplified to:
  (log (/ (+ (* x x) (* y y)) (- x y)))
  (log (/ (+ (* x x) (* y y)) (- x y)))
  (exp (/ (+ (* x x) (* y y)) (- x y)))
  (pow (/ (+ (* x x) (* y y)) (- x y)) 3)
  (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (cbrt (/ (+ (* x x) (* y y)) (- x y)))
  (pow (/ (+ (* x x) (* y y)) (- x y)) 3)
  (sqrt (/ (+ (* x x) (* y y)) (- x y)))
  (sqrt (/ (+ (* x x) (* y y)) (- x y)))
  (- (+ (* x x) (* y y)))
  (- (- x y))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))
  (/ (cbrt (+ (* x x) (* y y))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y)))))
  (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (/ (cbrt (+ (* x x) (* y y))) (- x y))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))
  (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (/ (cbrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (sqrt (+ (* x x) (* y y)))
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y)))
  (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))
  (sqrt (+ (* x x) (* y y)))
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ (/ 1 (cbrt (- x y))) (cbrt (- x y)))
  (/ (+ (* x x) (* y y)) (cbrt (- x y)))
  (/ 1 (sqrt (- x y)))
  (/ (+ (* x x) (* y y)) (sqrt (- x y)))
  1
  (/ (+ (* x x) (* y y)) (- x y))
  (/ 1 (+ (sqrt x) (sqrt y)))
  (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))
  1
  (/ (+ (* x x) (* y y)) (- x y))
  (/ 1 (- x y))
  (/ (- x y) (+ (* x x) (* y y)))
  (/ (/ (+ (* x x) (* y y)) (cbrt (- x y))) (cbrt (- x y)))
  (/ (+ (* x x) (* y y)) (sqrt (- x y)))
  (+ (* x x) (* y y))
  (/ (+ (* x x) (* y y)) (+ (sqrt x) (sqrt y)))
  (+ (* x x) (* y y))
  (/ (- x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))
  (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (* (- x y) (+ (* x (pow x 3)) (* (* y y) (- (* y y) (* x x)))))
  (* (* (+ x y) (- x y)) (- x y))
  (* (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (* (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (* (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (* (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  3
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (* (cbrt 3) (cbrt 3)))
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (sqrt 3))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (+ 1 1))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (pow (sqrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (sqrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (/ (* (+ x y) (+ x y)) (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (* (+ x y) (+ x y)) (pow (sqrt (/ (+ (* x x) (* y y)) (- x y))) 3))
  (/ (+ x y) (pow (sqrt (/ (+ (* x x) (* y y)) (- x y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y)))) 3))
  (/ (+ x y) (pow (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (cbrt (+ (* x x) (* y y))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y))))) 3))
  (/ (+ x y) (pow (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3))
  (/ (+ x y) (pow (/ (cbrt (+ (* x x) (* y y))) (- x y)) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))) 3))
  (/ (+ x y) (pow (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3))
  (/ (+ x y) (pow (/ (cbrt (+ (* x x) (* y y))) (- x y)) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))) 3))
  (/ (+ x y) (pow (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) 3))
  (/ (+ x y) (pow (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (sqrt (+ (* x x) (* y y))) 3))
  (/ (+ x y) (pow (/ (sqrt (+ (* x x) (* y y))) (- x y)) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y))) 3))
  (/ (+ x y) (pow (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (sqrt (+ (* x x) (* y y))) 3))
  (/ (+ x y) (pow (/ (sqrt (+ (* x x) (* y y))) (- x y)) 3))
  (pow (* (cbrt (* (+ x y) (+ x y))) (* (cbrt (- x y)) (cbrt (- x y)))) 3)
  (/ (+ x y) (pow (/ (+ (* x x) (* y y)) (cbrt (- x y))) 3))
  (pow (* (cbrt (* (+ x y) (+ x y))) (sqrt (- x y))) 3)
  (/ (+ x y) (pow (/ (+ (* x x) (* y y)) (sqrt (- x y))) 3))
  (* (+ x y) (+ x y))
  (/ (+ x y) (pow (/ (+ (* x x) (* y y)) (- x y)) 3))
  (pow (* (cbrt (* (+ x y) (+ x y))) (+ (sqrt x) (sqrt y))) 3)
  (/ (+ x y) (pow (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))) 3))
  (* (+ x y) (+ x y))
  (/ (+ x y) (pow (/ (+ (* x x) (* y y)) (- x y)) 3))
  (* (+ x y) (+ x y))
  (/ (+ x y) (pow (/ (+ (* x x) (* y y)) (- x y)) 3))
  (/ (* (+ x y) (+ x y)) (pow (+ (* x x) (* y y)) 3))
  (* (+ x y) (pow (- x y) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))) 3))
  (/ (+ x y) (pow (+ (* x x) (* y (+ x y))) 3))
  (/ (* (+ x y) (+ x y)) (pow (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) 3))
  (/ (+ x y) (pow (+ x y) 3))
  (/ (pow (sqrt (+ x y)) 3) (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))))
  (/ (pow (sqrt (+ x y)) 3) (/ (+ (* x x) (* y y)) (- x y)))
  (pow (/ (sqrt (+ x y)) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (sqrt (+ x y)) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (pow (/ (sqrt (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (* (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (- x y))) 3)
  (pow (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)
  (pow (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (sqrt (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))) 3)
  (pow (* (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y))) 3)
  (pow (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)
  (pow (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y))))) 3)
  (pow (* (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (cbrt (- x y))) 3)
  (pow (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))) 3)
  (pow (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) 3)
  (pow (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (* (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))) 3)
  (pow (* (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y))) 3)
  (pow (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) 3)
  (pow (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (* (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) 3)
  (pow (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (cbrt (- x y)))) 3)
  (pow (* (sqrt (+ x y)) (sqrt (- x y))) 3)
  (pow (* (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (sqrt (- x y))) 3)
  (pow (sqrt (+ x y)) 3)
  (pow (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (* (sqrt (+ x y)) (+ (sqrt x) (sqrt y))) 3)
  (pow (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))) 3)
  (pow (sqrt (+ x y)) 3)
  (pow (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (sqrt (+ x y)) 3)
  (pow (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (sqrt (+ x y)) (+ (* x x) (* y y))) 3)
  (pow (* (sqrt (+ x y)) (- x y)) 3)
  (pow (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))) 3)
  (pow (/ (sqrt (+ x y)) (+ (* x x) (* y (+ x y)))) 3)
  (pow (* (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (* (+ x y) (- x y))) 3)
  (pow (/ (sqrt (+ x y)) (+ x y)) 3)
  (/ 1 (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))))
  (/ (pow (+ x y) 3) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (pow (sqrt (/ (+ (* x x) (* y y)) (- x y))) 3))
  (pow (/ (+ x y) (sqrt (/ (+ (* x x) (* y y)) (- x y)))) 3)
  (/ 1 (pow (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y)))) 3))
  (pow (/ (+ x y) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (/ 1 (pow (/ (cbrt (+ (* x x) (* y y))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y))))) 3))
  (pow (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y))) 3)
  (/ 1 (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3))
  (pow (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (- x y)) 3)
  (/ 1 (pow (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))) 3))
  (pow (/ (+ x y) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))) 3)
  (/ 1 (pow (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 3))
  (pow (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (- x y)) 3)
  (/ 1 (pow (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))) 3))
  (pow (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y)))) 3)
  (pow (* (/ 1 (sqrt (+ (* x x) (* y y)))) (sqrt (- x y))) 3)
  (pow (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (sqrt (- x y))) 3)
  (/ 1 (pow (sqrt (+ (* x x) (* y y))) 3))
  (pow (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (/ 1 (pow (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y))) 3))
  (pow (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y))) 3)
  (/ 1 (pow (sqrt (+ (* x x) (* y y))) 3))
  (pow (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (- x y))) 3)
  (pow (* (cbrt (- x y)) (cbrt (- x y))) 3)
  (pow (* (/ (+ x y) (+ (* x x) (* y y))) (cbrt (- x y))) 3)
  (pow (sqrt (- x y)) 3)
  (pow (* (/ (+ x y) (+ (* x x) (* y y))) (sqrt (- x y))) 3)
  1
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (+ (sqrt x) (sqrt y)) 3)
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))) 3)
  1
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  1
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (/ 1 (pow (+ (* x x) (* y y)) 3))
  (pow (* (+ x y) (- x y)) 3)
  (pow (* (/ 1 (+ (* x x) (* y y))) (- (pow x 3) (pow y 3))) 3)
  (pow (/ (+ x y) (+ (* x x) (* y (+ x y)))) 3)
  (/ 1 (pow (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) 3))
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  (cbrt (sqrt (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (cbrt (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3/2))
  (cbrt (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3/2))
  (+ x y)
  (/ (+ (* x x) (* y y)) (- x y))
  (cbrt (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (+ 1 1)))
  (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (sqrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (sqrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (pow (exp (/ (+ x y) (+ (* x x) (* y y)))) (- x y))
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (cbrt (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) (+ 1 1)))
  (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (sqrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (sqrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (- (+ x y))
  (- (/ (+ (* x x) (* y y)) (- x y)))
  (cbrt (/ (* (+ x y) (+ x y)) (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y)))))
  (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (/ (cbrt (* (+ x y) (+ x y))) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (cbrt (+ x y)) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (* (/ (cbrt (* (+ x y) (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (cbrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ (cbrt (* (+ x y) (+ x y))) (/ (cbrt (+ (* x x) (* y y))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y))))))
  (* (/ (cbrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ (cbrt (* (+ x y) (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (cbrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ (cbrt (* (+ x y) (+ x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))))
  (/ (cbrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ (cbrt (* (+ x y) (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (cbrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (* (/ (cbrt (* (+ x y) (+ x y))) (sqrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (cbrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (* (/ (cbrt (* (+ x y) (+ x y))) (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (* (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ (cbrt (* (+ x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
  (* (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (- x y))
  (/ (cbrt (* (+ x y) (+ x y))) (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y))))
  (* (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y)))
  (/ (cbrt (* (+ x y) (+ x y))) (sqrt (+ (* x x) (* y y))))
  (* (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (- x y))
  (* (cbrt (* (+ x y) (+ x y))) (* (cbrt (- x y)) (cbrt (- x y))))
  (* (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (cbrt (- x y)))
  (* (cbrt (* (+ x y) (+ x y))) (sqrt (- x y)))
  (* (/ (cbrt (+ x y)) (+ (* x x) (* y y))) (sqrt (- x y)))
  (cbrt (* (+ x y) (+ x y)))
  (/ (cbrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (* (cbrt (* (+ x y) (+ x y))) (+ (sqrt x) (sqrt y)))
  (/ (cbrt (+ x y)) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))))
  (cbrt (* (+ x y) (+ x y)))
  (/ (cbrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (cbrt (* (+ x y) (+ x y)))
  (/ (cbrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (cbrt (* (+ x y) (+ x y))) (+ (* x x) (* y y)))
  (* (cbrt (+ x y)) (- x y))
  (* (/ (cbrt (* (+ x y) (+ x y))) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3)))
  (/ (cbrt (+ x y)) (+ (* x x) (* y (+ x y))))
  (/ (cbrt (* (+ x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))
  (/ (cbrt (+ x y)) (+ x y))
  (/ (sqrt (+ x y)) (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y)))))
  (/ (sqrt (+ x y)) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (sqrt (+ x y)) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (sqrt (+ x y)) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (sqrt (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (* (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (- x y)))
  (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ (sqrt (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))))
  (* (/ (sqrt (+ x y)) (cbrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y)))
  (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (sqrt (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (* (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (cbrt (- x y)))
  (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (* (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))
  (* (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y)))
  (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (sqrt (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (* (sqrt (+ x y)) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (cbrt (- x y))))
  (* (sqrt (+ x y)) (sqrt (- x y)))
  (* (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (sqrt (- x y)))
  (sqrt (+ x y))
  (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (* (sqrt (+ x y)) (+ (sqrt x) (sqrt y)))
  (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))))
  (sqrt (+ x y))
  (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (sqrt (+ x y))
  (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (sqrt (+ x y)) (+ (* x x) (* y y)))
  (* (sqrt (+ x y)) (- x y))
  (/ (sqrt (+ x y)) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (/ (sqrt (+ x y)) (+ (* x x) (* y (+ x y))))
  (* (/ (sqrt (+ x y)) (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (/ (sqrt (+ x y)) (+ x y))
  (cbrt (/ 1 (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y)))))
  (/ (+ x y) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (+ x y) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (* (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ x y) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ 1 (/ (cbrt (+ (* x x) (* y y))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y))))))
  (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (- x y))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))))
  (/ (+ x y) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (- x y))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))
  (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y)))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (* (cbrt (- x y)) (cbrt (- x y)))
  (* (/ (+ x y) (+ (* x x) (* y y))) (cbrt (- x y)))
  (sqrt (- x y))
  (* (/ (+ x y) (+ (* x x) (* y y))) (sqrt (- x y)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (+ (sqrt x) (sqrt y))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ (* x x) (* y y)))
  (* (+ x y) (- x y))
  (* (/ 1 (+ (* x x) (* y y))) (- (pow x 3) (pow y 3)))
  (/ (+ x y) (+ (* x x) (* y (+ x y))))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (/ (+ x y) (+ x y))
  (cbrt (/ 1 (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y)))))
  (/ (+ x y) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (+ x y) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (* (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ x y) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ 1 (/ (cbrt (+ (* x x) (* y y))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y))))))
  (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (- x y))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))))
  (/ (+ x y) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (* (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (- x y))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))
  (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- (sqrt x) (sqrt y)))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (* (cbrt (- x y)) (cbrt (- x y)))
  (* (/ (+ x y) (+ (* x x) (* y y))) (cbrt (- x y)))
  (sqrt (- x y))
  (* (/ (+ x y) (+ (* x x) (* y y))) (sqrt (- x y)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (+ (sqrt x) (sqrt y))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ (* x x) (* y y)))
  (* (+ x y) (- x y))
  (* (/ 1 (+ (* x x) (* y y))) (- (pow x 3) (pow y 3)))
  (/ (+ x y) (+ (* x x) (* y (+ x y))))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (/ (+ x y) (+ x y))
  (/ 1 (/ (+ (* x x) (* y y)) (- x y)))
  (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (/ (/ (+ x y) (cbrt (/ (+ (* x x) (* y y)) (- x y)))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (+ x y) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (* (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ x y) (/ (cbrt (+ (* x x) (* y y))) (/ (sqrt (- x y)) (cbrt (+ (* x x) (* y y))))))
  (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (* (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (+ (sqrt x) (sqrt y)))
  (/ (+ x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))))
  (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y))))
  (* (+ x y) (sqrt (- x y)))
  (+ x y)
  (* (+ x y) (+ (sqrt x) (sqrt y)))
  (+ x y)
  (+ x y)
  (/ (+ x y) (+ (* x x) (* y y)))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (* (/ (+ x y) (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (/ (+ (* x x) (* y y)) (* (cbrt (+ x y)) (- x y)))
  (/ (+ (* x x) (* y y)) (* (sqrt (+ x y)) (- x y)))
  (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (/ (+ x y) (+ (* x x) (* y y)))
  (* (/ (+ (* x x) (* y y)) (- x y)) (+ (* y y) (* x (- x y))))
  (* (- y x) (/ (+ (* x x) (* y y)) (- x y)))
  (- (+ x y))
  (+ x y)
  (+ x y)
  1
  -1
  -1
  1
  -1
  (cbrt -1)
  1
  -1
  -1
5.828 * * * [progress]: adding candidates to table
7.710 * * [progress]: iteration 3 / 4
7.710 * * * [progress]: picking best candidate
7.719 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (/ (+ x y) (+ x y))))>
7.719 * * * [progress]: localizing error
7.738 * * * [progress]: generating rewritten candidates
7.738 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
7.860 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
7.888 * * * [progress]: generating series expansions
7.888 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
7.889 * [backup-simplify]: Simplify (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2)))
7.889 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (x y) around 0
7.889 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
7.889 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
7.889 * [taylor]: Taking taylor expansion of (+ x y) in y
7.889 * [taylor]: Taking taylor expansion of x in y
7.889 * [backup-simplify]: Simplify x into x
7.889 * [taylor]: Taking taylor expansion of y in y
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 1 into 1
7.889 * [taylor]: Taking taylor expansion of (- x y) in y
7.889 * [taylor]: Taking taylor expansion of x in y
7.889 * [backup-simplify]: Simplify x into x
7.889 * [taylor]: Taking taylor expansion of y in y
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 1 into 1
7.889 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
7.889 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.889 * [taylor]: Taking taylor expansion of y in y
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 1 into 1
7.889 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.889 * [taylor]: Taking taylor expansion of x in y
7.889 * [backup-simplify]: Simplify x into x
7.889 * [backup-simplify]: Simplify (+ x 0) into x
7.890 * [backup-simplify]: Simplify (- 0) into 0
7.890 * [backup-simplify]: Simplify (+ x 0) into x
7.890 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.890 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.890 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
7.891 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
7.891 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
7.891 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
7.891 * [taylor]: Taking taylor expansion of (+ x y) in x
7.891 * [taylor]: Taking taylor expansion of x in x
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [taylor]: Taking taylor expansion of y in x
7.891 * [backup-simplify]: Simplify y into y
7.891 * [taylor]: Taking taylor expansion of (- x y) in x
7.891 * [taylor]: Taking taylor expansion of x in x
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [taylor]: Taking taylor expansion of y in x
7.891 * [backup-simplify]: Simplify y into y
7.891 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
7.891 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.891 * [taylor]: Taking taylor expansion of y in x
7.891 * [backup-simplify]: Simplify y into y
7.891 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.891 * [taylor]: Taking taylor expansion of x in x
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [backup-simplify]: Simplify (+ 0 y) into y
7.891 * [backup-simplify]: Simplify (- y) into (- y)
7.891 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
7.892 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
7.892 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.892 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.892 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
7.892 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
7.892 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
7.892 * [taylor]: Taking taylor expansion of (+ x y) in x
7.892 * [taylor]: Taking taylor expansion of x in x
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 1 into 1
7.892 * [taylor]: Taking taylor expansion of y in x
7.892 * [backup-simplify]: Simplify y into y
7.892 * [taylor]: Taking taylor expansion of (- x y) in x
7.892 * [taylor]: Taking taylor expansion of x in x
7.892 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify 1 into 1
7.892 * [taylor]: Taking taylor expansion of y in x
7.892 * [backup-simplify]: Simplify y into y
7.892 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
7.892 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.892 * [taylor]: Taking taylor expansion of y in x
7.892 * [backup-simplify]: Simplify y into y
7.892 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.893 * [taylor]: Taking taylor expansion of x in x
7.893 * [backup-simplify]: Simplify 0 into 0
7.893 * [backup-simplify]: Simplify 1 into 1
7.893 * [backup-simplify]: Simplify (+ 0 y) into y
7.893 * [backup-simplify]: Simplify (- y) into (- y)
7.893 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
7.893 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
7.893 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.893 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.893 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
7.893 * [taylor]: Taking taylor expansion of -1 in y
7.893 * [backup-simplify]: Simplify -1 into -1
7.893 * [backup-simplify]: Simplify -1 into -1
7.894 * [backup-simplify]: Simplify (- 0) into 0
7.894 * [backup-simplify]: Simplify (+ 1 0) into 1
7.895 * [backup-simplify]: Simplify (+ 1 0) into 1
7.895 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
7.895 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.895 * [backup-simplify]: Simplify (+ 0 0) into 0
7.896 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
7.896 * [taylor]: Taking taylor expansion of 0 in y
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify (- 0) into 0
7.897 * [backup-simplify]: Simplify (+ 0 0) into 0
7.897 * [backup-simplify]: Simplify (+ 0 0) into 0
7.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
7.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.899 * [backup-simplify]: Simplify (* 1 1) into 1
7.899 * [backup-simplify]: Simplify (+ 0 1) into 1
7.900 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
7.900 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
7.900 * [taylor]: Taking taylor expansion of 2 in y
7.900 * [backup-simplify]: Simplify 2 into 2
7.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.900 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.900 * [taylor]: Taking taylor expansion of y in y
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.900 * [backup-simplify]: Simplify (* 1 1) into 1
7.901 * [backup-simplify]: Simplify (/ 1 1) into 1
7.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.905 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify (- 0) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.907 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
7.908 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.909 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
7.910 * [taylor]: Taking taylor expansion of 0 in y
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify -1 into -1
7.910 * [backup-simplify]: Simplify (* (/ 1 (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
7.910 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
7.911 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
7.911 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y
7.911 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
7.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.911 * [taylor]: Taking taylor expansion of x in y
7.911 * [backup-simplify]: Simplify x into x
7.911 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.911 * [taylor]: Taking taylor expansion of y in y
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 1 into 1
7.911 * [backup-simplify]: Simplify (/ 1 1) into 1
7.911 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
7.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.911 * [taylor]: Taking taylor expansion of x in y
7.911 * [backup-simplify]: Simplify x into x
7.911 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.912 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.912 * [taylor]: Taking taylor expansion of y in y
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.912 * [backup-simplify]: Simplify (/ 1 1) into 1
7.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.912 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.912 * [taylor]: Taking taylor expansion of y in y
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.913 * [backup-simplify]: Simplify (* 1 1) into 1
7.913 * [backup-simplify]: Simplify (/ 1 1) into 1
7.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.913 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.913 * [taylor]: Taking taylor expansion of x in y
7.913 * [backup-simplify]: Simplify x into x
7.913 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.914 * [backup-simplify]: Simplify (- 1) into -1
7.914 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.915 * [backup-simplify]: Simplify (+ 0 1) into 1
7.915 * [backup-simplify]: Simplify (* -1 1) into -1
7.915 * [backup-simplify]: Simplify (+ 1 0) into 1
7.916 * [backup-simplify]: Simplify (/ -1 1) into -1
7.916 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.916 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x
7.916 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
7.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.916 * [taylor]: Taking taylor expansion of x in x
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 1 into 1
7.916 * [backup-simplify]: Simplify (/ 1 1) into 1
7.917 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.917 * [taylor]: Taking taylor expansion of y in x
7.917 * [backup-simplify]: Simplify y into y
7.917 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.917 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
7.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.917 * [taylor]: Taking taylor expansion of x in x
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 1 into 1
7.917 * [backup-simplify]: Simplify (/ 1 1) into 1
7.917 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.917 * [taylor]: Taking taylor expansion of y in x
7.917 * [backup-simplify]: Simplify y into y
7.917 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.917 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.917 * [taylor]: Taking taylor expansion of y in x
7.917 * [backup-simplify]: Simplify y into y
7.918 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.918 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.918 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.918 * [taylor]: Taking taylor expansion of x in x
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 1 into 1
7.918 * [backup-simplify]: Simplify (* 1 1) into 1
7.919 * [backup-simplify]: Simplify (/ 1 1) into 1
7.919 * [backup-simplify]: Simplify (+ 1 0) into 1
7.920 * [backup-simplify]: Simplify (+ 1 0) into 1
7.920 * [backup-simplify]: Simplify (* 1 1) into 1
7.921 * [backup-simplify]: Simplify (+ 0 1) into 1
7.921 * [backup-simplify]: Simplify (/ 1 1) into 1
7.921 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.921 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x
7.921 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
7.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.921 * [taylor]: Taking taylor expansion of x in x
7.921 * [backup-simplify]: Simplify 0 into 0
7.921 * [backup-simplify]: Simplify 1 into 1
7.922 * [backup-simplify]: Simplify (/ 1 1) into 1
7.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.922 * [taylor]: Taking taylor expansion of y in x
7.922 * [backup-simplify]: Simplify y into y
7.922 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.922 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
7.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.922 * [taylor]: Taking taylor expansion of x in x
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify 1 into 1
7.922 * [backup-simplify]: Simplify (/ 1 1) into 1
7.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.922 * [taylor]: Taking taylor expansion of y in x
7.922 * [backup-simplify]: Simplify y into y
7.922 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.923 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.923 * [taylor]: Taking taylor expansion of y in x
7.923 * [backup-simplify]: Simplify y into y
7.923 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.923 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.923 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.923 * [taylor]: Taking taylor expansion of x in x
7.923 * [backup-simplify]: Simplify 0 into 0
7.923 * [backup-simplify]: Simplify 1 into 1
7.923 * [backup-simplify]: Simplify (* 1 1) into 1
7.924 * [backup-simplify]: Simplify (/ 1 1) into 1
7.924 * [backup-simplify]: Simplify (+ 1 0) into 1
7.925 * [backup-simplify]: Simplify (+ 1 0) into 1
7.925 * [backup-simplify]: Simplify (* 1 1) into 1
7.925 * [backup-simplify]: Simplify (+ 0 1) into 1
7.926 * [backup-simplify]: Simplify (/ 1 1) into 1
7.926 * [taylor]: Taking taylor expansion of 1 in y
7.926 * [backup-simplify]: Simplify 1 into 1
7.926 * [backup-simplify]: Simplify 1 into 1
7.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.927 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.928 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
7.928 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
7.928 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.931 * [taylor]: Taking taylor expansion of 0 in y
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.932 * [backup-simplify]: Simplify (+ 0 0) into 0
7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.934 * [backup-simplify]: Simplify (- 0) into 0
7.934 * [backup-simplify]: Simplify (+ 0 0) into 0
7.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
7.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.937 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
7.938 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
7.938 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
7.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
7.939 * [taylor]: Taking taylor expansion of 2 in y
7.939 * [backup-simplify]: Simplify 2 into 2
7.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.939 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.939 * [taylor]: Taking taylor expansion of y in y
7.939 * [backup-simplify]: Simplify 0 into 0
7.939 * [backup-simplify]: Simplify 1 into 1
7.939 * [backup-simplify]: Simplify (* 1 1) into 1
7.940 * [backup-simplify]: Simplify (/ 1 1) into 1
7.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.944 * [backup-simplify]: Simplify (- 0) into 0
7.944 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 0 into 0
7.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.946 * [backup-simplify]: Simplify (+ 0 0) into 0
7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.948 * [backup-simplify]: Simplify (- 0) into 0
7.948 * [backup-simplify]: Simplify (+ 0 0) into 0
7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.952 * [backup-simplify]: Simplify (+ 0 0) into 0
7.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
7.954 * [taylor]: Taking taylor expansion of 0 in y
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 1 into 1
7.955 * [backup-simplify]: Simplify (* (/ 1 (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
7.955 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
7.955 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
7.955 * [taylor]: Taking taylor expansion of -1 in y
7.955 * [backup-simplify]: Simplify -1 into -1
7.955 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
7.955 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
7.955 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
7.955 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.955 * [taylor]: Taking taylor expansion of y in y
7.955 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify 1 into 1
7.960 * [backup-simplify]: Simplify (/ 1 1) into 1
7.960 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.960 * [taylor]: Taking taylor expansion of x in y
7.960 * [backup-simplify]: Simplify x into x
7.960 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.960 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
7.960 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.960 * [taylor]: Taking taylor expansion of x in y
7.960 * [backup-simplify]: Simplify x into x
7.960 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.960 * [taylor]: Taking taylor expansion of y in y
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.961 * [backup-simplify]: Simplify (/ 1 1) into 1
7.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
7.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.961 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.961 * [taylor]: Taking taylor expansion of y in y
7.961 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify 1 into 1
7.962 * [backup-simplify]: Simplify (* 1 1) into 1
7.962 * [backup-simplify]: Simplify (/ 1 1) into 1
7.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.962 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.962 * [taylor]: Taking taylor expansion of x in y
7.962 * [backup-simplify]: Simplify x into x
7.962 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.962 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.963 * [backup-simplify]: Simplify (+ 1 0) into 1
7.963 * [backup-simplify]: Simplify (+ 0 1) into 1
7.964 * [backup-simplify]: Simplify (* 1 1) into 1
7.964 * [backup-simplify]: Simplify (+ 1 0) into 1
7.965 * [backup-simplify]: Simplify (/ 1 1) into 1
7.965 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
7.965 * [taylor]: Taking taylor expansion of -1 in x
7.965 * [backup-simplify]: Simplify -1 into -1
7.965 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.965 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
7.965 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
7.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.965 * [taylor]: Taking taylor expansion of y in x
7.965 * [backup-simplify]: Simplify y into y
7.965 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.965 * [taylor]: Taking taylor expansion of x in x
7.965 * [backup-simplify]: Simplify 0 into 0
7.965 * [backup-simplify]: Simplify 1 into 1
7.965 * [backup-simplify]: Simplify (/ 1 1) into 1
7.965 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
7.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.965 * [taylor]: Taking taylor expansion of x in x
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 1 into 1
7.966 * [backup-simplify]: Simplify (/ 1 1) into 1
7.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.966 * [taylor]: Taking taylor expansion of y in x
7.966 * [backup-simplify]: Simplify y into y
7.966 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.966 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.966 * [taylor]: Taking taylor expansion of y in x
7.966 * [backup-simplify]: Simplify y into y
7.966 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.966 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.967 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.967 * [taylor]: Taking taylor expansion of x in x
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.967 * [backup-simplify]: Simplify (* 1 1) into 1
7.967 * [backup-simplify]: Simplify (/ 1 1) into 1
7.968 * [backup-simplify]: Simplify (- 1) into -1
7.968 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.969 * [backup-simplify]: Simplify (+ 1 0) into 1
7.969 * [backup-simplify]: Simplify (* -1 1) into -1
7.969 * [backup-simplify]: Simplify (+ 0 1) into 1
7.970 * [backup-simplify]: Simplify (/ -1 1) into -1
7.970 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
7.970 * [taylor]: Taking taylor expansion of -1 in x
7.970 * [backup-simplify]: Simplify -1 into -1
7.970 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
7.970 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
7.970 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
7.970 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.971 * [taylor]: Taking taylor expansion of y in x
7.971 * [backup-simplify]: Simplify y into y
7.971 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.971 * [taylor]: Taking taylor expansion of x in x
7.971 * [backup-simplify]: Simplify 0 into 0
7.971 * [backup-simplify]: Simplify 1 into 1
7.971 * [backup-simplify]: Simplify (/ 1 1) into 1
7.971 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
7.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.971 * [taylor]: Taking taylor expansion of x in x
7.971 * [backup-simplify]: Simplify 0 into 0
7.971 * [backup-simplify]: Simplify 1 into 1
7.972 * [backup-simplify]: Simplify (/ 1 1) into 1
7.972 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.972 * [taylor]: Taking taylor expansion of y in x
7.972 * [backup-simplify]: Simplify y into y
7.972 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
7.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.972 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.972 * [taylor]: Taking taylor expansion of y in x
7.972 * [backup-simplify]: Simplify y into y
7.972 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.972 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.972 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.972 * [taylor]: Taking taylor expansion of x in x
7.972 * [backup-simplify]: Simplify 0 into 0
7.972 * [backup-simplify]: Simplify 1 into 1
7.973 * [backup-simplify]: Simplify (* 1 1) into 1
7.973 * [backup-simplify]: Simplify (/ 1 1) into 1
7.973 * [backup-simplify]: Simplify (- 1) into -1
7.974 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.974 * [backup-simplify]: Simplify (+ 1 0) into 1
7.975 * [backup-simplify]: Simplify (* -1 1) into -1
7.975 * [backup-simplify]: Simplify (+ 0 1) into 1
7.976 * [backup-simplify]: Simplify (/ -1 1) into -1
7.976 * [backup-simplify]: Simplify (* -1 -1) into 1
7.976 * [taylor]: Taking taylor expansion of 1 in y
7.976 * [backup-simplify]: Simplify 1 into 1
7.976 * [backup-simplify]: Simplify 1 into 1
7.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.977 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
7.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.978 * [backup-simplify]: Simplify (- 0) into 0
7.978 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
7.979 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0
7.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.982 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.982 * [taylor]: Taking taylor expansion of 0 in y
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 0 into 0
7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.983 * [backup-simplify]: Simplify (+ 0 0) into 0
7.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.985 * [backup-simplify]: Simplify (- 0) into 0
7.985 * [backup-simplify]: Simplify (+ 0 0) into 0
7.986 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.988 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
7.989 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
7.990 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
7.990 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
7.990 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
7.990 * [taylor]: Taking taylor expansion of 2 in y
7.990 * [backup-simplify]: Simplify 2 into 2
7.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.990 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.990 * [taylor]: Taking taylor expansion of y in y
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.991 * [backup-simplify]: Simplify (* 1 1) into 1
7.991 * [backup-simplify]: Simplify (/ 1 1) into 1
7.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.995 * [backup-simplify]: Simplify (- 0) into 0
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.997 * [backup-simplify]: Simplify (+ 0 0) into 0
7.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (- 0) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.999 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
7.999 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (+ 0 0) into 0
8.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
8.007 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
8.007 * [taylor]: Taking taylor expansion of 0 in y
8.007 * [backup-simplify]: Simplify 0 into 0
8.007 * [backup-simplify]: Simplify 0 into 0
8.007 * [backup-simplify]: Simplify 1 into 1
8.007 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
8.007 * [backup-simplify]: Simplify (/ 1 (+ (* x x) (* y y))) into (/ 1 (+ (pow y 2) (pow x 2)))
8.007 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in (x y) around 0
8.007 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
8.007 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.007 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.007 * [taylor]: Taking taylor expansion of y in y
8.007 * [backup-simplify]: Simplify 0 into 0
8.007 * [backup-simplify]: Simplify 1 into 1
8.007 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.007 * [taylor]: Taking taylor expansion of x in y
8.007 * [backup-simplify]: Simplify x into x
8.007 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.008 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.008 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in x
8.008 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.008 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.008 * [taylor]: Taking taylor expansion of y in x
8.008 * [backup-simplify]: Simplify y into y
8.008 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.008 * [taylor]: Taking taylor expansion of x in x
8.008 * [backup-simplify]: Simplify 0 into 0
8.008 * [backup-simplify]: Simplify 1 into 1
8.008 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.008 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.008 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in x
8.008 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.008 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.008 * [taylor]: Taking taylor expansion of y in x
8.008 * [backup-simplify]: Simplify y into y
8.009 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.009 * [taylor]: Taking taylor expansion of x in x
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.009 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.009 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.009 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.009 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.009 * [taylor]: Taking taylor expansion of y in y
8.009 * [backup-simplify]: Simplify 0 into 0
8.009 * [backup-simplify]: Simplify 1 into 1
8.010 * [backup-simplify]: Simplify (* 1 1) into 1
8.010 * [backup-simplify]: Simplify (/ 1 1) into 1
8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.013 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.014 * [backup-simplify]: Simplify (+ 0 0) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.014 * [taylor]: Taking taylor expansion of 0 in y
8.014 * [backup-simplify]: Simplify 0 into 0
8.014 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.017 * [backup-simplify]: Simplify (* 1 1) into 1
8.017 * [backup-simplify]: Simplify (+ 0 1) into 1
8.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
8.017 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y
8.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.018 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.018 * [taylor]: Taking taylor expansion of y in y
8.018 * [backup-simplify]: Simplify 0 into 0
8.018 * [backup-simplify]: Simplify 1 into 1
8.018 * [backup-simplify]: Simplify (* 1 1) into 1
8.018 * [backup-simplify]: Simplify (* 1 1) into 1
8.019 * [backup-simplify]: Simplify (/ 1 1) into 1
8.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.027 * [backup-simplify]: Simplify (- 0) into 0
8.027 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify (/ 1 (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
8.029 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
8.029 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.029 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.029 * [taylor]: Taking taylor expansion of y in y
8.029 * [backup-simplify]: Simplify 0 into 0
8.029 * [backup-simplify]: Simplify 1 into 1
8.029 * [backup-simplify]: Simplify (* 1 1) into 1
8.030 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.030 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.030 * [taylor]: Taking taylor expansion of x in y
8.030 * [backup-simplify]: Simplify x into x
8.030 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.030 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.030 * [backup-simplify]: Simplify (+ 1 0) into 1
8.030 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.031 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.031 * [taylor]: Taking taylor expansion of y in x
8.031 * [backup-simplify]: Simplify y into y
8.031 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.031 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.031 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.031 * [taylor]: Taking taylor expansion of x in x
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (* 1 1) into 1
8.031 * [backup-simplify]: Simplify (/ 1 1) into 1
8.032 * [backup-simplify]: Simplify (+ 0 1) into 1
8.032 * [backup-simplify]: Simplify (/ 1 1) into 1
8.032 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.032 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.032 * [taylor]: Taking taylor expansion of y in x
8.032 * [backup-simplify]: Simplify y into y
8.032 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.032 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.032 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.032 * [taylor]: Taking taylor expansion of x in x
8.032 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify 1 into 1
8.032 * [backup-simplify]: Simplify (* 1 1) into 1
8.033 * [backup-simplify]: Simplify (/ 1 1) into 1
8.033 * [backup-simplify]: Simplify (+ 0 1) into 1
8.033 * [backup-simplify]: Simplify (/ 1 1) into 1
8.033 * [taylor]: Taking taylor expansion of 1 in y
8.033 * [backup-simplify]: Simplify 1 into 1
8.033 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.034 * [backup-simplify]: Simplify (+ 0 0) into 0
8.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.035 * [taylor]: Taking taylor expansion of 0 in y
8.035 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify 0 into 0
8.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.036 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
8.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
8.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.036 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.036 * [taylor]: Taking taylor expansion of y in y
8.036 * [backup-simplify]: Simplify 0 into 0
8.036 * [backup-simplify]: Simplify 1 into 1
8.037 * [backup-simplify]: Simplify (* 1 1) into 1
8.037 * [backup-simplify]: Simplify (/ 1 1) into 1
8.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.041 * [backup-simplify]: Simplify (- 0) into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify (/ 1 (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
8.042 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
8.042 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.042 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.042 * [taylor]: Taking taylor expansion of y in y
8.042 * [backup-simplify]: Simplify 0 into 0
8.042 * [backup-simplify]: Simplify 1 into 1
8.042 * [backup-simplify]: Simplify (* 1 1) into 1
8.042 * [backup-simplify]: Simplify (/ 1 1) into 1
8.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.042 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.042 * [taylor]: Taking taylor expansion of x in y
8.042 * [backup-simplify]: Simplify x into x
8.042 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.042 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.043 * [backup-simplify]: Simplify (+ 1 0) into 1
8.043 * [backup-simplify]: Simplify (/ 1 1) into 1
8.043 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.043 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.043 * [taylor]: Taking taylor expansion of y in x
8.043 * [backup-simplify]: Simplify y into y
8.043 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.043 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.043 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.043 * [taylor]: Taking taylor expansion of x in x
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 1 into 1
8.043 * [backup-simplify]: Simplify (* 1 1) into 1
8.044 * [backup-simplify]: Simplify (/ 1 1) into 1
8.044 * [backup-simplify]: Simplify (+ 0 1) into 1
8.044 * [backup-simplify]: Simplify (/ 1 1) into 1
8.044 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.044 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.044 * [taylor]: Taking taylor expansion of y in x
8.044 * [backup-simplify]: Simplify y into y
8.044 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.044 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.044 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.044 * [taylor]: Taking taylor expansion of x in x
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.045 * [backup-simplify]: Simplify (* 1 1) into 1
8.045 * [backup-simplify]: Simplify (/ 1 1) into 1
8.045 * [backup-simplify]: Simplify (+ 0 1) into 1
8.045 * [backup-simplify]: Simplify (/ 1 1) into 1
8.046 * [taylor]: Taking taylor expansion of 1 in y
8.046 * [backup-simplify]: Simplify 1 into 1
8.046 * [backup-simplify]: Simplify 0 into 0
8.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.047 * [backup-simplify]: Simplify (+ 0 0) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.047 * [taylor]: Taking taylor expansion of 0 in y
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 0 into 0
8.047 * [backup-simplify]: Simplify 0 into 0
8.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.049 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
8.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
8.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y
8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.049 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.049 * [taylor]: Taking taylor expansion of y in y
8.049 * [backup-simplify]: Simplify 0 into 0
8.049 * [backup-simplify]: Simplify 1 into 1
8.049 * [backup-simplify]: Simplify (* 1 1) into 1
8.050 * [backup-simplify]: Simplify (/ 1 1) into 1
8.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.054 * [backup-simplify]: Simplify (- 0) into 0
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 0 into 0
8.055 * * * [progress]: simplifying candidates
8.056 * [simplify]: Simplifying:
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (+ (- (log (+ (* x x) (* y y)))) (+ (log (+ x y)) (log (- x y))))
  (+ (- (log (+ (* x x) (* y y)))) (log (* (+ x y) (- x y))))
  (+ (- 0 (log (+ (* x x) (* y y)))) (+ (log (+ x y)) (log (- x y))))
  (+ (- 0 (log (+ (* x x) (* y y)))) (log (* (+ x y) (- x y))))
  (+ (- (log 1) (log (+ (* x x) (* y y)))) (+ (log (+ x y)) (log (- x y))))
  (+ (- (log 1) (log (+ (* x x) (* y y)))) (log (* (+ x y) (- x y))))
  (+ (log (/ 1 (+ (* x x) (* y y)))) (+ (log (+ x y)) (log (- x y))))
  (+ (log (/ 1 (+ (* x x) (* y y)))) (log (* (+ x y) (- x y))))
  (log (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))))
  (exp (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))))
  (* (/ (* (* 1 1) 1) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))))
  (* (/ (* (* 1 1) 1) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))))
  (* (* (* (/ 1 (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y)))) (/ 1 (+ (* x x) (* y y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))))
  (* (* (* (/ 1 (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y)))) (/ 1 (+ (* x x) (* y y)))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))))
  (* (cbrt (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))) (cbrt (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))))
  (cbrt (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))))
  (* (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))) (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))))
  (sqrt (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))))
  (sqrt (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))))
  (* 1 (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))))
  (* 1 (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)))
  (* 1 (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))))
  (* 1 (* (- (* x x) (* y y)) (- (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (* 1 (* (+ x y) (- (pow x 3) (pow y 3))))
  (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y))))
  (* 1 (* (+ x y) (- (* x x) (* y y))))
  (* (+ (* x x) (* y y)) (+ x y))
  (* 1 (* (+ (pow x 3) (pow y 3)) (- x y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y))))
  (* 1 (* (- (* x x) (* y y)) (- x y)))
  (* (+ (* x x) (* y y)) (- x y))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) x))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) x))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- y)))
  (* (/ 1 (+ (* x x) (* y y))) (* x (+ x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (- y) (+ x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* x (+ x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (- y) (+ x y)))
  (* (* (+ x y) x) (/ 1 (+ (* x x) (* y y))))
  (* (* (+ x y) (- y)) (/ 1 (+ (* x x) (* y y))))
  (* (* (+ x y) x) (/ 1 (+ (* x x) (* y y))))
  (* (* (+ x y) (- y)) (/ 1 (+ (* x x) (* y y))))
  (* (* x (+ x y)) (/ 1 (+ (* x x) (* y y))))
  (* (* (- y) (+ x y)) (/ 1 (+ (* x x) (* y y))))
  (* (* x (+ x y)) (/ 1 (+ (* x x) (* y y))))
  (* (* (- y) (+ x y)) (/ 1 (+ (* x x) (* y y))))
  (* (/ 1 (+ (* x x) (* y y))) (+ x y))
  (* (cbrt (/ 1 (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (sqrt (/ 1 (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ (cbrt 1) (cbrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ (cbrt 1) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ (cbrt 1) (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (* (/ (sqrt 1) (cbrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ (sqrt 1) (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ (sqrt 1) (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (* (/ 1 (cbrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ 1 (sqrt (+ (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y)))
  (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (* (+ x y) (- x y)))
  (* (- (* x x) (* y y)) (* (+ x y) (- x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))
  (* (/ 1 (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (* (/ 1 (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- (pow x 3) (pow y 3))))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))))
  (* (/ 1 (+ (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)))
  (* (/ 1 (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (- x y)))
  (* 1 (* (+ x y) (- x y)))
  (- 1)
  (- (log (+ (* x x) (* y y))))
  (- 0 (log (+ (* x x) (* y y))))
  (- (log 1) (log (+ (* x x) (* y y))))
  (log (/ 1 (+ (* x x) (* y y))))
  (exp (/ 1 (+ (* x x) (* y y))))
  (/ (* (* 1 1) 1) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ 1 (+ (* x x) (* y y)))) (cbrt (/ 1 (+ (* x x) (* y y)))))
  (cbrt (/ 1 (+ (* x x) (* y y))))
  (* (* (/ 1 (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y)))) (/ 1 (+ (* x x) (* y y))))
  (sqrt (/ 1 (+ (* x x) (* y y))))
  (sqrt (/ 1 (+ (* x x) (* y y))))
  (- 1)
  (- (+ (* x x) (* y y)))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (cbrt 1) (cbrt (+ (* x x) (* y y))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (* x x) (* y y))))
  (/ (cbrt 1) (sqrt (+ (* x x) (* y y))))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (+ (* x x) (* y y)))
  (/ (sqrt 1) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (sqrt 1) (cbrt (+ (* x x) (* y y))))
  (/ (sqrt 1) (sqrt (+ (* x x) (* y y))))
  (/ (sqrt 1) (sqrt (+ (* x x) (* y y))))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (+ (* x x) (* y y)))
  (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ 1 (cbrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ 1 1)
  (/ 1 (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) 1)
  (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ 1 1)
  (/ (+ (* x x) (* y y)) (cbrt 1))
  (/ (+ (* x x) (* y y)) (sqrt 1))
  (/ (+ (* x x) (* y y)) 1)
  (/ 1 (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ 1 (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  -1
  1
  1
  0
  0
  0
8.058 * * [simplify]: iteration 0: 171 enodes
8.106 * * [simplify]: iteration 1: 589 enodes
8.440 * * [simplify]: iteration complete: 5000 enodes
8.440 * * [simplify]: Extracting #0: cost 61 inf + 0
8.443 * * [simplify]: Extracting #1: cost 1589 inf + 3
8.456 * * [simplify]: Extracting #2: cost 2016 inf + 228
8.465 * * [simplify]: Extracting #3: cost 2059 inf + 385
8.479 * * [simplify]: Extracting #4: cost 1540 inf + 5277
8.492 * * [simplify]: Extracting #5: cost 457 inf + 21202
8.499 * * [simplify]: Extracting #6: cost 39 inf + 28617
8.505 * * [simplify]: Extracting #7: cost 0 inf + 29170
8.513 * * [simplify]: Extracting #8: cost 0 inf + 29154
8.520 * [simplify]: Simplified to:
  (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (log (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (pow (exp (/ (+ x y) (+ (* x x) (* y y)))) (- x y))
  (/ (pow (- (* x x) (* y y)) 3) (pow (+ (* x x) (* y y)) 3))
  (/ (pow (- (* x x) (* y y)) 3) (pow (+ (* x x) (* y y)) 3))
  (* (pow (/ 1 (+ (* x x) (* y y))) 3) (pow (- (* x x) (* y y)) 3))
  (* (pow (/ 1 (+ (* x x) (* y y))) 3) (pow (- (* x x) (* y y)) 3))
  (* (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))) (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))))
  (cbrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (pow (/ (- (* x x) (* y y)) (+ (* x x) (* y y))) 3)
  (sqrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (sqrt (/ (- (* x x) (* y y)) (+ (* x x) (* y y))))
  (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))
  (* (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x))) (+ (* y (+ x y)) (* x x)))
  (* (* (+ (pow x 3) (pow y 3)) (+ x y)) (- x y))
  (* (* (+ x y) (+ (* y (- y x)) (* x x))) (+ (* x x) (* y y)))
  (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3)))
  (* (* (+ (* y (+ x y)) (* x x)) (- x y)) (+ (* x x) (* y y)))
  (* (+ x y) (* (- x y) (- (* x x) (* y y))))
  (- (* (pow x 3) x) (pow y (+ 3 1)))
  (* (+ x y) (- (pow x 3) (pow y 3)))
  (* (+ (* y (+ x y)) (* x x)) (+ (* x x) (* y y)))
  (* (* (+ x y) (+ x y)) (- x y))
  (* (+ (* x x) (* y y)) (+ x y))
  (* (- x y) (+ (pow x 3) (pow y 3)))
  (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x)))
  (* (- (* x x) (* y y)) (- x y))
  (* (- x y) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (* (+ x y) x) (+ (* x x) (* y y)))
  (/ (* (+ x y) (- y)) (+ (* x x) (* y y)))
  (/ (+ x y) (+ (* x x) (* y y)))
  (* (cbrt (/ 1 (+ (* x x) (* y y)))) (- (* x x) (* y y)))
  (* (* (sqrt (/ 1 (+ (* x x) (* y y)))) (+ x y)) (- x y))
  (/ (- (* x x) (* y y)) (cbrt (+ (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (sqrt (+ (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (/ (- (* x x) (* y y)) (cbrt (+ (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (sqrt (+ (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (/ (- (* x x) (* y y)) (cbrt (+ (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (sqrt (+ (* x x) (* y y))))
  (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (/ (- (* x x) (* y y)) (+ (* x x) (* y y)))
  (* (+ (* (pow x 3) x) (* (* y (+ x y)) (* y (- y x)))) (- (* x x) (* y y)))
  (* (+ x y) (* (- x y) (- (* x x) (* y y))))
  (/ (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (* (* (+ (pow x 3) (pow y 3)) (+ x y)) (- x y)) (+ (* x x) (* y y)))
  (/ (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y))))
  (/ (* (+ x y) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (* (- (* x x) (* y y)) (- x y)) (+ (* x x) (* y y)))
  (- (* x x) (* y y))
  -1
  (- (log (+ (* x x) (* y y))))
  (- (log (+ (* x x) (* y y))))
  (- (log (+ (* x x) (* y y))))
  (- (log (+ (* x x) (* y y))))
  (exp (/ 1 (+ (* x x) (* y y))))
  (/ 1 (pow (+ (* x x) (* y y)) 3))
  (* (cbrt (/ 1 (+ (* x x) (* y y)))) (cbrt (/ 1 (+ (* x x) (* y y)))))
  (cbrt (/ 1 (+ (* x x) (* y y))))
  (pow (/ 1 (+ (* x x) (* y y))) 3)
  (sqrt (/ 1 (+ (* x x) (* y y))))
  (sqrt (/ 1 (+ (* x x) (* y y))))
  -1
  (- (- (* x x)) (* y y))
  (/ (/ 1 (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ 1 (cbrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  1
  (/ 1 (+ (* x x) (* y y)))
  (/ (/ 1 (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ 1 (cbrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  1
  (/ 1 (+ (* x x) (* y y)))
  (/ (/ 1 (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ 1 (cbrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  1
  (/ 1 (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (+ (* x x) (* y y))
  (/ (/ 1 (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  1
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (/ 1 (+ (pow (* y y) 3) (pow (* x x) 3)))
  (/ 1 (- (* (pow x 3) x) (pow y (+ 3 1))))
  -1
  1
  1
  0
  0
  0
8.521 * * * [progress]: adding candidates to table
8.929 * * [progress]: iteration 4 / 4
8.930 * * * [progress]: picking best candidate
8.937 * * * * [pick]: Picked  #<alt (λ (x y) (cbrt (pow -1 3)))>
8.937 * * * [progress]: localizing error
8.945 * * * [progress]: generating rewritten candidates
8.945 * * * [progress]: generating series expansions
8.946 * * * [progress]: simplifying candidates
8.946 * [simplify]: Simplifying:
  
8.946 * * [simplify]: iteration 0: 0 enodes
8.946 * * [simplify]: iteration complete: 0 enodes
8.946 * * [simplify]: Extracting #0: cost 0 inf + 0
8.946 * [simplify]: Simplified to:
  
8.946 * * * [progress]: adding candidates to table
8.946 * [progress]: [Phase 3 of 3] Extracting.
8.946 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)))> #<alt (λ (x y) (cbrt 1))> #<alt (λ (x y) (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (/ (+ x y) (+ x y))))> #<alt (λ (x y) (cbrt (pow -1 3)))>)
8.948 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x)
8.948 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (#<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)))> #<alt (λ (x y) (cbrt 1))> #<alt (λ (x y) (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (/ (+ x y) (+ x y))))> #<alt (λ (x y) (cbrt (pow -1 3)))>)
9.004 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)))> #<alt (λ (x y) (cbrt 1))> #<alt (λ (x y) (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (/ (+ x y) (+ x y))))> #<alt (λ (x y) (cbrt (pow -1 3)))>)
9.059 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)))> #<alt (λ (x y) (cbrt 1))> #<alt (λ (x y) (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (/ (+ x y) (+ x y))))> #<alt (λ (x y) (cbrt (pow -1 3)))>)
9.112 * * * [regime]: Found split indices: #<option (#s(si 4 45) #s(si 0 137) #s(si 2 214) #s(si 0 255))>
9.112 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)))> #<alt (λ (x y) (cbrt 1))> #<alt (λ (x y) (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (/ (+ x y) (+ x y))))> #<alt (λ (x y) (cbrt (pow -1 3)))>)
9.202 * [regimes]: Found splitpoints: (#s(sp 4 y -5.923851932889087e+146) #s(sp 0 y -2.1622183546377771e-159) #s(sp 2 y 5.591292396420954e-164) #s(sp 0 y +nan.0)) , with alts (#<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) (cbrt (pow (/ (+ y x) (/ (+ (* x x) (* y y)) (- x y))) 3)))> #<alt (λ (x y) (cbrt 1))> #<alt (λ (x y) (* (* (/ 1 (+ (* x x) (* y y))) (* (+ x y) (- x y))) (/ (+ x y) (+ x y))))> #<alt (λ (x y) (cbrt (pow -1 3)))>)
9.202 * [simplify]: Simplifying:
  (if (<= y -5.923851932889087e+146) (cbrt (pow -1 3)) (if (<= y -2.1622183546377771e-159) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (if (<= y 5.591292396420954e-164) (cbrt 1) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))
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17.864 * * [simplify]: iteration complete: 5000 enodes
17.864 * * [simplify]: Extracting #0: cost 1 inf + 0
17.864 * * [simplify]: Extracting #1: cost 4 inf + 0
17.864 * * [simplify]: Extracting #2: cost 12 inf + 0
17.864 * * [simplify]: Extracting #3: cost 13 inf + 4
17.864 * * [simplify]: Extracting #4: cost 15 inf + 10
17.864 * * [simplify]: Extracting #5: cost 11 inf + 24
17.864 * * [simplify]: Extracting #6: cost 6 inf + 46
17.864 * * [simplify]: Extracting #7: cost 2 inf + 96
17.864 * * [simplify]: Extracting #8: cost 0 inf + 147
17.864 * [simplify]: Simplified to:
  (if (<= y -5.923851932889087e+146) (cbrt -1) (if (or (<= y -2.1622183546377771e-159) (not (<= y 5.591292396420954e-164))) (/ (* (- x y) (+ y x)) (+ (* x x) (* y y))) 1))
19.775 * [regime-testing]: Baseline error score: 20.004807546052255
19.777 * [regime-testing]: Oracle error score: 0.4984906336717038
19.781 * [regime-testing]: End program error score: 5.053617515889437
19.878 * [regime-testing]: Target error score: 0.056545038445280436