23.791 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.055 * * * [progress]: [2/2] Setting up program.
0.058 * [progress]: [Phase 2 of 3] Improving.
0.059 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.059 * * [simplify]: Extracting # 0 : cost  0
0.059 * * [simplify]: Extracting # 1 : cost  0
0.059 * * [simplify]: Extracting # 2 : cost  0
0.059 * * [simplify]: Extracting # 3 : cost  0
0.059 * * [simplify]: Extracting # 4 : cost  0
0.059 * * [simplify]: Extracting # 5 : cost  0
0.059 * * [simplify]: iteration  0 :  9  enodes  (cost  15 )
0.062 * * [simplify]: Extracting # 0 : cost  0
0.062 * * [simplify]: Extracting # 1 : cost  0
0.062 * * [simplify]: Extracting # 2 : cost  0
0.063 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.071 * * [simplify]: Extracting # 0 : cost  0
0.071 * * [simplify]: Extracting # 1 : cost  0
0.072 * * [simplify]: Extracting # 2 : cost  0
0.072 * * [simplify]: iteration  2 :  48  enodes  (cost  15 )
0.092 * * [simplify]: Extracting # 0 : cost  0
0.092 * * [simplify]: Extracting # 1 : cost  0
0.092 * * [simplify]: Extracting # 2 : cost  0
0.092 * * [simplify]: iteration  3 :  101  enodes  (cost  15 )
0.134 * * [simplify]: Extracting # 0 : cost  0
0.134 * * [simplify]: Extracting # 1 : cost  0
0.135 * * [simplify]: Extracting # 2 : cost  0
0.135 * * [simplify]: iteration  4 :  188  enodes  (cost  15 )
0.209 * * [simplify]: Extracting # 0 : cost  0
0.210 * * [simplify]: Extracting # 1 : cost  0
0.211 * * [simplify]: Extracting # 2 : cost  0
0.211 * * [simplify]: Extracting # 3 : cost  0
0.212 * * [simplify]: iteration  5 :  346  enodes  (cost  15 )
0.345 * * [simplify]: Extracting # 0 : cost  0
0.346 * * [simplify]: Extracting # 1 : cost  0
0.347 * * [simplify]: Extracting # 2 : cost  0
0.348 * * [simplify]: Extracting # 3 : cost  0
0.348 * * [simplify]: Extracting # 4 : cost  0
0.349 * * [simplify]: iteration  6 :  579  enodes  (cost  15 )
0.585 * * [simplify]: Extracting # 0 : cost  0
0.586 * * [simplify]: Extracting # 1 : cost  0
0.586 * * [simplify]: Extracting # 2 : cost  0
0.587 * * [simplify]: iteration  7 :  875  enodes  (cost  15 )
1.731 * * [simplify]: Extracting # 0 : cost  0
1.733 * * [simplify]: Extracting # 1 : cost  0
1.735 * * [simplify]: Extracting # 2 : cost  0
1.736 * * [simplify]: iteration  8 :  2271  enodes  (cost  15 )
4.243 * * [simplify]: Extracting # 0 : cost  0
4.248 * * [simplify]: Extracting # 1 : cost  0
4.252 * * [simplify]: Extracting # 2 : cost  0
4.256 * * [simplify]: Extracting # 3 : cost  0
4.259 * * [simplify]: Extracting # 4 : cost  0
4.264 * * [simplify]: iteration done:  5000  enodes  (cost  15 )
4.265 * [simplify]: Simplified to:
  (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
4.269 * * [progress]: iteration 1 / 4
4.270 * * * [progress]: picking best candidate
4.282 * * * * [pick]: Picked  #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))>
4.282 * * * [progress]: localizing error
4.292 * * * [progress]: generating rewritten candidates
4.292 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
4.329 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
4.343 * * * [progress]: generating series expansions
4.343 * * * * [progress]: [ 1 / 2 ] generating series at (2)
4.344 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))
4.344 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0
4.344 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y
4.344 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.344 * [taylor]: Taking taylor expansion of (+ x y) in y
4.344 * [taylor]: Taking taylor expansion of x in y
4.344 * [backup-simplify]: Simplify x into x
4.344 * [taylor]: Taking taylor expansion of y in y
4.344 * [backup-simplify]: Simplify 0 into 0
4.344 * [backup-simplify]: Simplify 1 into 1
4.344 * [taylor]: Taking taylor expansion of (- x y) in y
4.344 * [taylor]: Taking taylor expansion of x in y
4.344 * [backup-simplify]: Simplify x into x
4.344 * [taylor]: Taking taylor expansion of y in y
4.344 * [backup-simplify]: Simplify 0 into 0
4.344 * [backup-simplify]: Simplify 1 into 1
4.344 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.344 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.344 * [taylor]: Taking taylor expansion of x in y
4.344 * [backup-simplify]: Simplify x into x
4.344 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.344 * [taylor]: Taking taylor expansion of y in y
4.344 * [backup-simplify]: Simplify 0 into 0
4.344 * [backup-simplify]: Simplify 1 into 1
4.344 * [backup-simplify]: Simplify (+ x 0) into x
4.344 * [backup-simplify]: Simplify (- 0) into 0
4.345 * [backup-simplify]: Simplify (+ x 0) into x
4.345 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.345 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.345 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.345 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.345 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
4.345 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.345 * [taylor]: Taking taylor expansion of (+ x y) in x
4.345 * [taylor]: Taking taylor expansion of x in x
4.345 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify 1 into 1
4.345 * [taylor]: Taking taylor expansion of y in x
4.345 * [backup-simplify]: Simplify y into y
4.345 * [taylor]: Taking taylor expansion of (- x y) in x
4.345 * [taylor]: Taking taylor expansion of x in x
4.345 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify 1 into 1
4.345 * [taylor]: Taking taylor expansion of y in x
4.345 * [backup-simplify]: Simplify y into y
4.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.345 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.345 * [taylor]: Taking taylor expansion of x in x
4.345 * [backup-simplify]: Simplify 0 into 0
4.345 * [backup-simplify]: Simplify 1 into 1
4.345 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.345 * [taylor]: Taking taylor expansion of y in x
4.345 * [backup-simplify]: Simplify y into y
4.345 * [backup-simplify]: Simplify (+ 0 y) into y
4.345 * [backup-simplify]: Simplify (- y) into (- y)
4.345 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.345 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.345 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.346 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.346 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.346 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
4.346 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.346 * [taylor]: Taking taylor expansion of (+ x y) in x
4.346 * [taylor]: Taking taylor expansion of x in x
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [taylor]: Taking taylor expansion of y in x
4.346 * [backup-simplify]: Simplify y into y
4.346 * [taylor]: Taking taylor expansion of (- x y) in x
4.346 * [taylor]: Taking taylor expansion of x in x
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [taylor]: Taking taylor expansion of y in x
4.346 * [backup-simplify]: Simplify y into y
4.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.346 * [taylor]: Taking taylor expansion of x in x
4.346 * [backup-simplify]: Simplify 0 into 0
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.346 * [taylor]: Taking taylor expansion of y in x
4.346 * [backup-simplify]: Simplify y into y
4.346 * [backup-simplify]: Simplify (+ 0 y) into y
4.346 * [backup-simplify]: Simplify (- y) into (- y)
4.346 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.346 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.346 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.346 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.346 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.347 * [taylor]: Taking taylor expansion of -1 in y
4.347 * [backup-simplify]: Simplify -1 into -1
4.347 * [backup-simplify]: Simplify -1 into -1
4.347 * [backup-simplify]: Simplify (- 0) into 0
4.347 * [backup-simplify]: Simplify (+ 1 0) into 1
4.348 * [backup-simplify]: Simplify (+ 1 0) into 1
4.348 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
4.348 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.348 * [backup-simplify]: Simplify (+ 0 0) into 0
4.348 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
4.348 * [taylor]: Taking taylor expansion of 0 in y
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify (- 0) into 0
4.349 * [backup-simplify]: Simplify (+ 0 0) into 0
4.349 * [backup-simplify]: Simplify (+ 0 0) into 0
4.349 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
4.350 * [backup-simplify]: Simplify (* 1 1) into 1
4.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.350 * [backup-simplify]: Simplify (+ 1 0) into 1
4.351 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
4.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.351 * [taylor]: Taking taylor expansion of 2 in y
4.351 * [backup-simplify]: Simplify 2 into 2
4.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.351 * [taylor]: Taking taylor expansion of y in y
4.351 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify 1 into 1
4.351 * [backup-simplify]: Simplify (* 1 1) into 1
4.351 * [backup-simplify]: Simplify (/ 1 1) into 1
4.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify (- 0) into 0
4.354 * [backup-simplify]: Simplify (+ 0 0) into 0
4.355 * [backup-simplify]: Simplify (+ 0 0) into 0
4.355 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
4.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.356 * [backup-simplify]: Simplify (+ 0 0) into 0
4.357 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
4.357 * [taylor]: Taking taylor expansion of 0 in y
4.357 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify -1 into -1
4.357 * [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 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.357 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
4.357 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.357 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
4.357 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.357 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.357 * [taylor]: Taking taylor expansion of x in y
4.357 * [backup-simplify]: Simplify x into x
4.357 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.357 * [taylor]: Taking taylor expansion of y in y
4.357 * [backup-simplify]: Simplify 0 into 0
4.357 * [backup-simplify]: Simplify 1 into 1
4.358 * [backup-simplify]: Simplify (/ 1 1) into 1
4.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
4.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.358 * [taylor]: Taking taylor expansion of y in y
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 1 into 1
4.358 * [backup-simplify]: Simplify (/ 1 1) into 1
4.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.358 * [taylor]: Taking taylor expansion of x in y
4.358 * [backup-simplify]: Simplify x into x
4.358 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.358 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.358 * [taylor]: Taking taylor expansion of x in y
4.358 * [backup-simplify]: Simplify x into x
4.358 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.358 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.358 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.359 * [taylor]: Taking taylor expansion of y in y
4.359 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify 1 into 1
4.359 * [backup-simplify]: Simplify (* 1 1) into 1
4.359 * [backup-simplify]: Simplify (/ 1 1) into 1
4.359 * [backup-simplify]: Simplify (- 1) into -1
4.360 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.360 * [backup-simplify]: Simplify (+ 1 0) into 1
4.360 * [backup-simplify]: Simplify (* -1 1) into -1
4.360 * [backup-simplify]: Simplify (+ 0 1) into 1
4.361 * [backup-simplify]: Simplify (/ -1 1) into -1
4.361 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.361 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
4.361 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.361 * [taylor]: Taking taylor expansion of x in x
4.361 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify 1 into 1
4.361 * [backup-simplify]: Simplify (/ 1 1) into 1
4.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.361 * [taylor]: Taking taylor expansion of y in x
4.361 * [backup-simplify]: Simplify y into y
4.361 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.361 * [taylor]: Taking taylor expansion of y in x
4.361 * [backup-simplify]: Simplify y into y
4.361 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.361 * [taylor]: Taking taylor expansion of x in x
4.361 * [backup-simplify]: Simplify 0 into 0
4.361 * [backup-simplify]: Simplify 1 into 1
4.361 * [backup-simplify]: Simplify (/ 1 1) into 1
4.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.362 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.362 * [taylor]: Taking taylor expansion of x in x
4.362 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify 1 into 1
4.362 * [backup-simplify]: Simplify (* 1 1) into 1
4.362 * [backup-simplify]: Simplify (/ 1 1) into 1
4.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.362 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.362 * [taylor]: Taking taylor expansion of y in x
4.362 * [backup-simplify]: Simplify y into y
4.362 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.362 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.363 * [backup-simplify]: Simplify (+ 1 0) into 1
4.363 * [backup-simplify]: Simplify (+ 0 1) into 1
4.363 * [backup-simplify]: Simplify (* 1 1) into 1
4.363 * [backup-simplify]: Simplify (+ 1 0) into 1
4.364 * [backup-simplify]: Simplify (/ 1 1) into 1
4.364 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.364 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
4.364 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.364 * [taylor]: Taking taylor expansion of x in x
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 1 into 1
4.364 * [backup-simplify]: Simplify (/ 1 1) into 1
4.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.364 * [taylor]: Taking taylor expansion of y in x
4.364 * [backup-simplify]: Simplify y into y
4.364 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.364 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.364 * [taylor]: Taking taylor expansion of y in x
4.364 * [backup-simplify]: Simplify y into y
4.364 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.364 * [taylor]: Taking taylor expansion of x in x
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [backup-simplify]: Simplify 1 into 1
4.365 * [backup-simplify]: Simplify (/ 1 1) into 1
4.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.365 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.365 * [taylor]: Taking taylor expansion of x in x
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify 1 into 1
4.365 * [backup-simplify]: Simplify (* 1 1) into 1
4.365 * [backup-simplify]: Simplify (/ 1 1) into 1
4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.365 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.365 * [taylor]: Taking taylor expansion of y in x
4.365 * [backup-simplify]: Simplify y into y
4.365 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.365 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.366 * [backup-simplify]: Simplify (+ 1 0) into 1
4.366 * [backup-simplify]: Simplify (+ 0 1) into 1
4.374 * [backup-simplify]: Simplify (* 1 1) into 1
4.374 * [backup-simplify]: Simplify (+ 1 0) into 1
4.375 * [backup-simplify]: Simplify (/ 1 1) into 1
4.375 * [taylor]: Taking taylor expansion of 1 in y
4.376 * [backup-simplify]: Simplify 1 into 1
4.377 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.378 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.379 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.379 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.379 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
4.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.381 * [backup-simplify]: Simplify (+ 0 0) into 0
4.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.382 * [taylor]: Taking taylor expansion of 0 in y
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify 0 into 0
4.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.383 * [backup-simplify]: Simplify (+ 0 0) into 0
4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.385 * [backup-simplify]: Simplify (- 0) into 0
4.385 * [backup-simplify]: Simplify (+ 0 0) into 0
4.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
4.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.390 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
4.390 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.390 * [taylor]: Taking taylor expansion of 2 in y
4.390 * [backup-simplify]: Simplify 2 into 2
4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.390 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.390 * [taylor]: Taking taylor expansion of y in y
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 1 into 1
4.390 * [backup-simplify]: Simplify (* 1 1) into 1
4.391 * [backup-simplify]: Simplify (/ 1 1) into 1
4.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.395 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.395 * [backup-simplify]: Simplify (- 0) into 0
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.397 * [backup-simplify]: Simplify (+ 0 0) into 0
4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.398 * [backup-simplify]: Simplify (- 0) into 0
4.399 * [backup-simplify]: Simplify (+ 0 0) into 0
4.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
4.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.402 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.402 * [backup-simplify]: Simplify (+ 0 0) into 0
4.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
4.404 * [taylor]: Taking taylor expansion of 0 in y
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 1 into 1
4.405 * [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 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
4.405 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
4.405 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
4.405 * [taylor]: Taking taylor expansion of -1 in y
4.405 * [backup-simplify]: Simplify -1 into -1
4.405 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.405 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
4.405 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
4.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.405 * [taylor]: Taking taylor expansion of y in y
4.405 * [backup-simplify]: Simplify 0 into 0
4.405 * [backup-simplify]: Simplify 1 into 1
4.406 * [backup-simplify]: Simplify (/ 1 1) into 1
4.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.406 * [taylor]: Taking taylor expansion of x in y
4.406 * [backup-simplify]: Simplify x into x
4.406 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.406 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.406 * [taylor]: Taking taylor expansion of y in y
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify 1 into 1
4.406 * [backup-simplify]: Simplify (/ 1 1) into 1
4.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.407 * [taylor]: Taking taylor expansion of x in y
4.407 * [backup-simplify]: Simplify x into x
4.407 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.407 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.407 * [taylor]: Taking taylor expansion of x in y
4.407 * [backup-simplify]: Simplify x into x
4.407 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.407 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.407 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.407 * [taylor]: Taking taylor expansion of y in y
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 1 into 1
4.408 * [backup-simplify]: Simplify (* 1 1) into 1
4.408 * [backup-simplify]: Simplify (/ 1 1) into 1
4.408 * [backup-simplify]: Simplify (+ 1 0) into 1
4.409 * [backup-simplify]: Simplify (+ 1 0) into 1
4.409 * [backup-simplify]: Simplify (* 1 1) into 1
4.409 * [backup-simplify]: Simplify (+ 0 1) into 1
4.410 * [backup-simplify]: Simplify (/ 1 1) into 1
4.410 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.410 * [taylor]: Taking taylor expansion of -1 in x
4.410 * [backup-simplify]: Simplify -1 into -1
4.410 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.410 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
4.410 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.410 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.410 * [taylor]: Taking taylor expansion of y in x
4.410 * [backup-simplify]: Simplify y into y
4.410 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.410 * [taylor]: Taking taylor expansion of x in x
4.410 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify 1 into 1
4.411 * [backup-simplify]: Simplify (/ 1 1) into 1
4.411 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.411 * [taylor]: Taking taylor expansion of y in x
4.411 * [backup-simplify]: Simplify y into y
4.411 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.411 * [taylor]: Taking taylor expansion of x in x
4.411 * [backup-simplify]: Simplify 0 into 0
4.411 * [backup-simplify]: Simplify 1 into 1
4.411 * [backup-simplify]: Simplify (/ 1 1) into 1
4.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.411 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.411 * [taylor]: Taking taylor expansion of x in x
4.411 * [backup-simplify]: Simplify 0 into 0
4.411 * [backup-simplify]: Simplify 1 into 1
4.412 * [backup-simplify]: Simplify (* 1 1) into 1
4.412 * [backup-simplify]: Simplify (/ 1 1) into 1
4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.412 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.412 * [taylor]: Taking taylor expansion of y in x
4.412 * [backup-simplify]: Simplify y into y
4.412 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.413 * [backup-simplify]: Simplify (+ 0 1) into 1
4.413 * [backup-simplify]: Simplify (- 1) into -1
4.414 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.414 * [backup-simplify]: Simplify (* 1 -1) into -1
4.414 * [backup-simplify]: Simplify (+ 1 0) into 1
4.415 * [backup-simplify]: Simplify (/ -1 1) into -1
4.415 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.415 * [taylor]: Taking taylor expansion of -1 in x
4.415 * [backup-simplify]: Simplify -1 into -1
4.415 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.415 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
4.415 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.415 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.415 * [taylor]: Taking taylor expansion of y in x
4.415 * [backup-simplify]: Simplify y into y
4.415 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.415 * [taylor]: Taking taylor expansion of x in x
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 1 into 1
4.416 * [backup-simplify]: Simplify (/ 1 1) into 1
4.416 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.416 * [taylor]: Taking taylor expansion of y in x
4.416 * [backup-simplify]: Simplify y into y
4.416 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.416 * [taylor]: Taking taylor expansion of x in x
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.416 * [backup-simplify]: Simplify (/ 1 1) into 1
4.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.416 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.416 * [taylor]: Taking taylor expansion of x in x
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.417 * [backup-simplify]: Simplify (* 1 1) into 1
4.417 * [backup-simplify]: Simplify (/ 1 1) into 1
4.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.417 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.417 * [taylor]: Taking taylor expansion of y in x
4.417 * [backup-simplify]: Simplify y into y
4.417 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.418 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.418 * [backup-simplify]: Simplify (+ 0 1) into 1
4.419 * [backup-simplify]: Simplify (- 1) into -1
4.419 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.419 * [backup-simplify]: Simplify (* 1 -1) into -1
4.420 * [backup-simplify]: Simplify (+ 1 0) into 1
4.420 * [backup-simplify]: Simplify (/ -1 1) into -1
4.421 * [backup-simplify]: Simplify (* -1 -1) into 1
4.421 * [taylor]: Taking taylor expansion of 1 in y
4.421 * [backup-simplify]: Simplify 1 into 1
4.421 * [backup-simplify]: Simplify 1 into 1
4.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.422 * [backup-simplify]: Simplify (- 0) into 0
4.422 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.423 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.423 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
4.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.425 * [backup-simplify]: Simplify (+ 0 0) into 0
4.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.426 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.426 * [taylor]: Taking taylor expansion of 0 in y
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.428 * [backup-simplify]: Simplify (- 0) into 0
4.428 * [backup-simplify]: Simplify (+ 0 0) into 0
4.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.429 * [backup-simplify]: Simplify (+ 0 0) into 0
4.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
4.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.433 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
4.434 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
4.434 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.434 * [taylor]: Taking taylor expansion of 2 in y
4.434 * [backup-simplify]: Simplify 2 into 2
4.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.434 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.434 * [taylor]: Taking taylor expansion of y in y
4.434 * [backup-simplify]: Simplify 0 into 0
4.434 * [backup-simplify]: Simplify 1 into 1
4.435 * [backup-simplify]: Simplify (* 1 1) into 1
4.435 * [backup-simplify]: Simplify (/ 1 1) into 1
4.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.440 * [backup-simplify]: Simplify (- 0) into 0
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.442 * [backup-simplify]: Simplify (- 0) into 0
4.442 * [backup-simplify]: Simplify (+ 0 0) into 0
4.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.444 * [backup-simplify]: Simplify (+ 0 0) into 0
4.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
4.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.447 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.448 * [backup-simplify]: Simplify (+ 0 0) into 0
4.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
4.451 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
4.451 * [taylor]: Taking taylor expansion of 0 in y
4.451 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify 1 into 1
4.451 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
4.451 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
4.451 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
4.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.451 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.452 * [taylor]: Taking taylor expansion of x in y
4.452 * [backup-simplify]: Simplify x into x
4.452 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.452 * [taylor]: Taking taylor expansion of y in y
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify 1 into 1
4.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.452 * [taylor]: Taking taylor expansion of x in x
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify 1 into 1
4.452 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.452 * [taylor]: Taking taylor expansion of y in x
4.452 * [backup-simplify]: Simplify y into y
4.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.452 * [taylor]: Taking taylor expansion of x in x
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify 1 into 1
4.452 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.452 * [taylor]: Taking taylor expansion of y in x
4.452 * [backup-simplify]: Simplify y into y
4.452 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.452 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.453 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.453 * [taylor]: Taking taylor expansion of y in y
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [backup-simplify]: Simplify 1 into 1
4.453 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.453 * [backup-simplify]: Simplify (+ 0 0) into 0
4.453 * [taylor]: Taking taylor expansion of 0 in y
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [backup-simplify]: Simplify 0 into 0
4.454 * [backup-simplify]: Simplify (* 1 1) into 1
4.454 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.455 * [backup-simplify]: Simplify (+ 1 0) into 1
4.455 * [taylor]: Taking taylor expansion of 1 in y
4.455 * [backup-simplify]: Simplify 1 into 1
4.455 * [backup-simplify]: Simplify 1 into 1
4.455 * [backup-simplify]: Simplify 0 into 0
4.455 * [backup-simplify]: Simplify (* 1 1) into 1
4.455 * [backup-simplify]: Simplify 1 into 1
4.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.457 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.457 * [backup-simplify]: Simplify (+ 0 0) into 0
4.457 * [taylor]: Taking taylor expansion of 0 in y
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.458 * [backup-simplify]: Simplify 0 into 0
4.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.461 * [backup-simplify]: Simplify (+ 0 0) into 0
4.461 * [taylor]: Taking taylor expansion of 0 in y
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
4.462 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.462 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.462 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.462 * [taylor]: Taking taylor expansion of x in y
4.462 * [backup-simplify]: Simplify x into x
4.462 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.462 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.462 * [taylor]: Taking taylor expansion of y in y
4.462 * [backup-simplify]: Simplify 0 into 0
4.462 * [backup-simplify]: Simplify 1 into 1
4.463 * [backup-simplify]: Simplify (* 1 1) into 1
4.463 * [backup-simplify]: Simplify (/ 1 1) into 1
4.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.463 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.463 * [taylor]: Taking taylor expansion of x in x
4.463 * [backup-simplify]: Simplify 0 into 0
4.463 * [backup-simplify]: Simplify 1 into 1
4.464 * [backup-simplify]: Simplify (* 1 1) into 1
4.464 * [backup-simplify]: Simplify (/ 1 1) into 1
4.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.464 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.464 * [taylor]: Taking taylor expansion of y in x
4.464 * [backup-simplify]: Simplify y into y
4.464 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.464 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.465 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.465 * [taylor]: Taking taylor expansion of x in x
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.465 * [backup-simplify]: Simplify (* 1 1) into 1
4.465 * [backup-simplify]: Simplify (/ 1 1) into 1
4.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.465 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.466 * [taylor]: Taking taylor expansion of y in x
4.466 * [backup-simplify]: Simplify y into y
4.466 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.466 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.466 * [backup-simplify]: Simplify (+ 1 0) into 1
4.466 * [taylor]: Taking taylor expansion of 1 in y
4.466 * [backup-simplify]: Simplify 1 into 1
4.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.468 * [backup-simplify]: Simplify (+ 0 0) into 0
4.468 * [taylor]: Taking taylor expansion of 0 in y
4.468 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.470 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.470 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.471 * [taylor]: Taking taylor expansion of y in y
4.471 * [backup-simplify]: Simplify 0 into 0
4.471 * [backup-simplify]: Simplify 1 into 1
4.471 * [backup-simplify]: Simplify (* 1 1) into 1
4.471 * [backup-simplify]: Simplify (/ 1 1) into 1
4.471 * [backup-simplify]: Simplify 1 into 1
4.472 * [backup-simplify]: Simplify 1 into 1
4.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.474 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.475 * [backup-simplify]: Simplify (+ 0 0) into 0
4.475 * [taylor]: Taking taylor expansion of 0 in y
4.475 * [backup-simplify]: Simplify 0 into 0
4.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.476 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.479 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.480 * [backup-simplify]: Simplify (+ 0 0) into 0
4.480 * [taylor]: Taking taylor expansion of 0 in y
4.480 * [backup-simplify]: Simplify 0 into 0
4.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
4.483 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.483 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.483 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.483 * [taylor]: Taking taylor expansion of x in y
4.483 * [backup-simplify]: Simplify x into x
4.484 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.484 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.484 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.484 * [taylor]: Taking taylor expansion of y in y
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 1 into 1
4.484 * [backup-simplify]: Simplify (* 1 1) into 1
4.485 * [backup-simplify]: Simplify (/ 1 1) into 1
4.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.485 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.485 * [taylor]: Taking taylor expansion of x in x
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify 1 into 1
4.485 * [backup-simplify]: Simplify (* 1 1) into 1
4.486 * [backup-simplify]: Simplify (/ 1 1) into 1
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.486 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.486 * [taylor]: Taking taylor expansion of y in x
4.486 * [backup-simplify]: Simplify y into y
4.486 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.486 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.486 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.486 * [taylor]: Taking taylor expansion of x in x
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 1 into 1
4.487 * [backup-simplify]: Simplify (* 1 1) into 1
4.487 * [backup-simplify]: Simplify (/ 1 1) into 1
4.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.487 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.487 * [taylor]: Taking taylor expansion of y in x
4.487 * [backup-simplify]: Simplify y into y
4.487 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.487 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.488 * [backup-simplify]: Simplify (+ 1 0) into 1
4.488 * [taylor]: Taking taylor expansion of 1 in y
4.488 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.490 * [backup-simplify]: Simplify (+ 0 0) into 0
4.490 * [taylor]: Taking taylor expansion of 0 in y
4.490 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.492 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.492 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.492 * [taylor]: Taking taylor expansion of y in y
4.492 * [backup-simplify]: Simplify 0 into 0
4.492 * [backup-simplify]: Simplify 1 into 1
4.492 * [backup-simplify]: Simplify (* 1 1) into 1
4.493 * [backup-simplify]: Simplify (/ 1 1) into 1
4.493 * [backup-simplify]: Simplify 1 into 1
4.493 * [backup-simplify]: Simplify 1 into 1
4.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.495 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.496 * [backup-simplify]: Simplify (+ 0 0) into 0
4.496 * [taylor]: Taking taylor expansion of 0 in y
4.496 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify 0 into 0
4.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.500 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.501 * [backup-simplify]: Simplify (+ 0 0) into 0
4.501 * [taylor]: Taking taylor expansion of 0 in y
4.501 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0 into 0
4.504 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
4.504 * * * [progress]: simplifying candidates
4.505 * [simplify]: Simplifying:
  (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y))))
  (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
  (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (- (* (- x y) (+ x y)))
  (- (+ (* x x) (* y y)))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) 1)
  (/ (+ x y) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (* (- x y) (+ x y)) 1)
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)))
  (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (- x y))
  (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (+ x y))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  -1
  1
  1
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
4.508 * * [simplify]: Extracting # 0 : cost  0
4.508 * * [simplify]: Extracting # 1 : cost  0
4.508 * * [simplify]: Extracting # 2 : cost  0
4.508 * * [simplify]: Extracting # 3 : cost  0
4.508 * * [simplify]: Extracting # 4 : cost  0
4.509 * * [simplify]: Extracting # 5 : cost  0
4.509 * * [simplify]: Extracting # 6 : cost  0
4.509 * * [simplify]: Extracting # 7 : cost  0
4.509 * * [simplify]: iteration  0 :  91  enodes  (cost  826 )
4.546 * * [simplify]: Extracting # 0 : cost  0
4.547 * * [simplify]: Extracting # 1 : cost  0
4.547 * * [simplify]: Extracting # 2 : cost  0
4.547 * * [simplify]: Extracting # 3 : cost  0
4.548 * * [simplify]: Extracting # 4 : cost  0
4.548 * * [simplify]: iteration  1 :  303  enodes  (cost  802 )
4.752 * * [simplify]: Extracting # 0 : cost  0
4.755 * * [simplify]: Extracting # 1 : cost  0
4.758 * * [simplify]: Extracting # 2 : cost  0
4.762 * * [simplify]: Extracting # 3 : cost  0
4.765 * * [simplify]: Extracting # 4 : cost  0
4.768 * * [simplify]: Extracting # 5 : cost  0
4.771 * * [simplify]: iteration  2 :  1443  enodes  (cost  662 )
5.529 * * [simplify]: Extracting # 0 : cost  0
5.539 * * [simplify]: Extracting # 1 : cost  0
5.553 * * [simplify]: Extracting # 2 : cost  0
5.574 * * [simplify]: Extracting # 3 : cost  0
5.587 * * [simplify]: Extracting # 4 : cost  0
5.600 * * [simplify]: iteration done:  5000  enodes  (cost  655 )
5.601 * [simplify]: Simplified to:
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
  (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
  (* (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))))
  (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (* (- y x) (+ 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)
  (/ (+ 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))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (+ x y) (- x y)) (+ (pow x 6) (pow y 6)))
  (/ 1 (+ (* x x) (* y y)))
  (* (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y (+ x y)))) (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (* y (+ x y)))))
  (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* y (- y x)) (* x x)))
  (- (pow x 4) (pow y 4))
  (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x)))
  (* (+ (* x x) (* y y)) (- x y))
  (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (+ x y))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  -1
  1
  1
  (+ (* x x) (pow y 2))
  (+ (* x x) (pow y 2))
  (+ (* x x) (pow y 2))
5.601 * * * [progress]: adding candidates to table
5.793 * * [progress]: iteration 2 / 4
5.793 * * * [progress]: picking best candidate
5.798 * * * * [pick]: Picked  #<alt (λ (x y) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))>
5.799 * * * [progress]: localizing error
5.819 * * * [progress]: generating rewritten candidates
5.819 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
5.892 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
5.960 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
5.977 * * * [progress]: generating series expansions
5.978 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
5.981 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (+ x y)) into (/ (+ (pow x 2) (pow y 2)) (+ x y))
5.981 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0
5.981 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y
5.981 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.981 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.981 * [taylor]: Taking taylor expansion of x in y
5.981 * [backup-simplify]: Simplify x into x
5.981 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.981 * [taylor]: Taking taylor expansion of y in y
5.981 * [backup-simplify]: Simplify 0 into 0
5.981 * [backup-simplify]: Simplify 1 into 1
5.981 * [taylor]: Taking taylor expansion of (+ x y) in y
5.981 * [taylor]: Taking taylor expansion of x in y
5.981 * [backup-simplify]: Simplify x into x
5.981 * [taylor]: Taking taylor expansion of y in y
5.981 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.982 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.982 * [backup-simplify]: Simplify (+ x 0) into x
5.982 * [backup-simplify]: Simplify (/ (pow x 2) x) into x
5.982 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x
5.982 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.982 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.982 * [taylor]: Taking taylor expansion of x in x
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.982 * [taylor]: Taking taylor expansion of y in x
5.982 * [backup-simplify]: Simplify y into y
5.982 * [taylor]: Taking taylor expansion of (+ x y) in x
5.982 * [taylor]: Taking taylor expansion of x in x
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [taylor]: Taking taylor expansion of y in x
5.982 * [backup-simplify]: Simplify y into y
5.982 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.982 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.982 * [backup-simplify]: Simplify (+ 0 y) into y
5.982 * [backup-simplify]: Simplify (/ (pow y 2) y) into y
5.982 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x
5.982 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.982 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.982 * [taylor]: Taking taylor expansion of x in x
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.982 * [taylor]: Taking taylor expansion of y in x
5.982 * [backup-simplify]: Simplify y into y
5.982 * [taylor]: Taking taylor expansion of (+ x y) in x
5.982 * [taylor]: Taking taylor expansion of x in x
5.982 * [backup-simplify]: Simplify 0 into 0
5.983 * [backup-simplify]: Simplify 1 into 1
5.983 * [taylor]: Taking taylor expansion of y in x
5.983 * [backup-simplify]: Simplify y into y
5.983 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.983 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.983 * [backup-simplify]: Simplify (+ 0 y) into y
5.983 * [backup-simplify]: Simplify (/ (pow y 2) y) into y
5.983 * [taylor]: Taking taylor expansion of y in y
5.983 * [backup-simplify]: Simplify 0 into 0
5.983 * [backup-simplify]: Simplify 1 into 1
5.983 * [backup-simplify]: Simplify 0 into 0
5.983 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.983 * [backup-simplify]: Simplify (+ 0 0) into 0
5.984 * [backup-simplify]: Simplify (+ 1 0) into 1
5.984 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* y (/ 1 y)))) into (- 1)
5.984 * [taylor]: Taking taylor expansion of (- 1) in y
5.984 * [taylor]: Taking taylor expansion of 1 in y
5.984 * [backup-simplify]: Simplify 1 into 1
5.984 * [backup-simplify]: Simplify (- 1) into -1
5.984 * [backup-simplify]: Simplify -1 into -1
5.984 * [backup-simplify]: Simplify 1 into 1
5.984 * [backup-simplify]: Simplify (* 1 1) into 1
5.985 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.985 * [backup-simplify]: Simplify (+ 1 0) into 1
5.985 * [backup-simplify]: Simplify (+ 0 0) into 0
5.986 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* y (/ 0 y)) (* (- 1) (/ 1 y)))) into (* 2 (/ 1 y))
5.986 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
5.986 * [taylor]: Taking taylor expansion of 2 in y
5.986 * [backup-simplify]: Simplify 2 into 2
5.986 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.986 * [taylor]: Taking taylor expansion of y in y
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 1 into 1
5.986 * [backup-simplify]: Simplify (/ 1 1) into 1
5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.987 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify (- 0) into 0
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify 0 into 0
5.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.988 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.988 * [backup-simplify]: Simplify (+ 0 0) into 0
5.988 * [backup-simplify]: Simplify (+ 0 0) into 0
5.989 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* y (/ 0 y)) (* (- 1) (/ 0 y)) (* (* 2 (/ 1 y)) (/ 1 y)))) into (- (* 2 (/ 1 (pow y 2))))
5.989 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
5.989 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.989 * [taylor]: Taking taylor expansion of 2 in y
5.989 * [backup-simplify]: Simplify 2 into 2
5.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.989 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.989 * [taylor]: Taking taylor expansion of y in y
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 1 into 1
5.989 * [backup-simplify]: Simplify (* 1 1) into 1
5.989 * [backup-simplify]: Simplify (/ 1 1) into 1
5.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.992 * [backup-simplify]: Simplify (- 0) into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.993 * [backup-simplify]: Simplify 0 into 0
5.993 * [backup-simplify]: Simplify (- 0) into 0
5.993 * [backup-simplify]: Simplify 0 into 0
5.994 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* -1 (* 1 x))) into (- y x)
5.994 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))
5.994 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0
5.994 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y
5.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.994 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.994 * [taylor]: Taking taylor expansion of x in y
5.994 * [backup-simplify]: Simplify x into x
5.994 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.995 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.995 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.995 * [taylor]: Taking taylor expansion of y in y
5.995 * [backup-simplify]: Simplify 0 into 0
5.995 * [backup-simplify]: Simplify 1 into 1
5.996 * [backup-simplify]: Simplify (* 1 1) into 1
5.996 * [backup-simplify]: Simplify (/ 1 1) into 1
5.996 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
5.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.996 * [taylor]: Taking taylor expansion of y in y
5.996 * [backup-simplify]: Simplify 0 into 0
5.996 * [backup-simplify]: Simplify 1 into 1
5.997 * [backup-simplify]: Simplify (/ 1 1) into 1
5.997 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.997 * [taylor]: Taking taylor expansion of x in y
5.997 * [backup-simplify]: Simplify x into x
5.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.997 * [backup-simplify]: Simplify (+ 0 1) into 1
5.998 * [backup-simplify]: Simplify (+ 1 0) into 1
5.998 * [backup-simplify]: Simplify (/ 1 1) into 1
5.998 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
5.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.998 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.998 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.998 * [taylor]: Taking taylor expansion of x in x
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 1 into 1
5.999 * [backup-simplify]: Simplify (* 1 1) into 1
5.999 * [backup-simplify]: Simplify (/ 1 1) into 1
5.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.999 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.999 * [taylor]: Taking taylor expansion of y in x
5.999 * [backup-simplify]: Simplify y into y
5.999 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.999 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.999 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.999 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.999 * [taylor]: Taking taylor expansion of y in x
6.000 * [backup-simplify]: Simplify y into y
6.000 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.000 * [taylor]: Taking taylor expansion of x in x
6.000 * [backup-simplify]: Simplify 0 into 0
6.000 * [backup-simplify]: Simplify 1 into 1
6.000 * [backup-simplify]: Simplify (/ 1 1) into 1
6.001 * [backup-simplify]: Simplify (+ 1 0) into 1
6.001 * [backup-simplify]: Simplify (+ 0 1) into 1
6.001 * [backup-simplify]: Simplify (/ 1 1) into 1
6.001 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
6.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.002 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.002 * [taylor]: Taking taylor expansion of x in x
6.002 * [backup-simplify]: Simplify 0 into 0
6.002 * [backup-simplify]: Simplify 1 into 1
6.002 * [backup-simplify]: Simplify (* 1 1) into 1
6.002 * [backup-simplify]: Simplify (/ 1 1) into 1
6.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.002 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.002 * [taylor]: Taking taylor expansion of y in x
6.002 * [backup-simplify]: Simplify y into y
6.003 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.003 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.003 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
6.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.003 * [taylor]: Taking taylor expansion of y in x
6.003 * [backup-simplify]: Simplify y into y
6.003 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.003 * [taylor]: Taking taylor expansion of x in x
6.003 * [backup-simplify]: Simplify 0 into 0
6.003 * [backup-simplify]: Simplify 1 into 1
6.004 * [backup-simplify]: Simplify (/ 1 1) into 1
6.004 * [backup-simplify]: Simplify (+ 1 0) into 1
6.004 * [backup-simplify]: Simplify (+ 0 1) into 1
6.005 * [backup-simplify]: Simplify (/ 1 1) into 1
6.005 * [taylor]: Taking taylor expansion of 1 in y
6.005 * [backup-simplify]: Simplify 1 into 1
6.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.006 * [backup-simplify]: Simplify (+ 0 0) into 0
6.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.007 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
6.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y))
6.007 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
6.007 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.007 * [taylor]: Taking taylor expansion of y in y
6.007 * [backup-simplify]: Simplify 0 into 0
6.008 * [backup-simplify]: Simplify 1 into 1
6.008 * [backup-simplify]: Simplify (/ 1 1) into 1
6.008 * [backup-simplify]: Simplify (- 1) into -1
6.008 * [backup-simplify]: Simplify -1 into -1
6.008 * [backup-simplify]: Simplify 1 into 1
6.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.009 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.010 * [backup-simplify]: Simplify (+ 0 0) into 0
6.011 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 2)))
6.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
6.011 * [taylor]: Taking taylor expansion of 2 in y
6.011 * [backup-simplify]: Simplify 2 into 2
6.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.011 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.011 * [taylor]: Taking taylor expansion of y in y
6.011 * [backup-simplify]: Simplify 0 into 0
6.011 * [backup-simplify]: Simplify 1 into 1
6.011 * [backup-simplify]: Simplify (* 1 1) into 1
6.011 * [backup-simplify]: Simplify (/ 1 1) into 1
6.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.012 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
6.012 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.013 * [backup-simplify]: Simplify (- 0) into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.013 * [backup-simplify]: Simplify 0 into 0
6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.014 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.015 * [backup-simplify]: Simplify (+ 0 0) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.016 * [backup-simplify]: Simplify (+ 0 0) into 0
6.017 * [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))))
6.017 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y
6.017 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
6.017 * [taylor]: Taking taylor expansion of 2 in y
6.017 * [backup-simplify]: Simplify 2 into 2
6.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
6.017 * [taylor]: Taking taylor expansion of (pow y 3) in y
6.017 * [taylor]: Taking taylor expansion of y in y
6.017 * [backup-simplify]: Simplify 0 into 0
6.017 * [backup-simplify]: Simplify 1 into 1
6.017 * [backup-simplify]: Simplify (* 1 1) into 1
6.017 * [backup-simplify]: Simplify (* 1 1) into 1
6.018 * [backup-simplify]: Simplify (/ 1 1) into 1
6.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
6.021 * [backup-simplify]: Simplify (- 0) into 0
6.021 * [backup-simplify]: Simplify 0 into 0
6.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.023 * [backup-simplify]: Simplify (- 0) into 0
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* -1 (* (/ 1 (/ 1 y)) 1))) into (- x y)
6.024 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))))
6.024 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0
6.024 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y
6.024 * [taylor]: Taking taylor expansion of -1 in y
6.024 * [backup-simplify]: Simplify -1 into -1
6.024 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y
6.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
6.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.024 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.024 * [taylor]: Taking taylor expansion of x in y
6.024 * [backup-simplify]: Simplify x into x
6.024 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.024 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.024 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.024 * [taylor]: Taking taylor expansion of y in y
6.024 * [backup-simplify]: Simplify 0 into 0
6.024 * [backup-simplify]: Simplify 1 into 1
6.024 * [backup-simplify]: Simplify (* 1 1) into 1
6.025 * [backup-simplify]: Simplify (/ 1 1) into 1
6.025 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
6.025 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.025 * [taylor]: Taking taylor expansion of y in y
6.025 * [backup-simplify]: Simplify 0 into 0
6.025 * [backup-simplify]: Simplify 1 into 1
6.025 * [backup-simplify]: Simplify (/ 1 1) into 1
6.025 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.025 * [taylor]: Taking taylor expansion of x in y
6.025 * [backup-simplify]: Simplify x into x
6.025 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.025 * [backup-simplify]: Simplify (+ 0 1) into 1
6.026 * [backup-simplify]: Simplify (+ 1 0) into 1
6.026 * [backup-simplify]: Simplify (/ 1 1) into 1
6.026 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x
6.026 * [taylor]: Taking taylor expansion of -1 in x
6.026 * [backup-simplify]: Simplify -1 into -1
6.026 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
6.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.026 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.026 * [taylor]: Taking taylor expansion of x in x
6.026 * [backup-simplify]: Simplify 0 into 0
6.026 * [backup-simplify]: Simplify 1 into 1
6.026 * [backup-simplify]: Simplify (* 1 1) into 1
6.027 * [backup-simplify]: Simplify (/ 1 1) into 1
6.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.027 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.027 * [taylor]: Taking taylor expansion of y in x
6.027 * [backup-simplify]: Simplify y into y
6.027 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.027 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.027 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
6.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.027 * [taylor]: Taking taylor expansion of y in x
6.027 * [backup-simplify]: Simplify y into y
6.027 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.027 * [taylor]: Taking taylor expansion of x in x
6.027 * [backup-simplify]: Simplify 0 into 0
6.027 * [backup-simplify]: Simplify 1 into 1
6.027 * [backup-simplify]: Simplify (/ 1 1) into 1
6.027 * [backup-simplify]: Simplify (+ 1 0) into 1
6.028 * [backup-simplify]: Simplify (+ 0 1) into 1
6.028 * [backup-simplify]: Simplify (/ 1 1) into 1
6.028 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x
6.028 * [taylor]: Taking taylor expansion of -1 in x
6.028 * [backup-simplify]: Simplify -1 into -1
6.028 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
6.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.028 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.028 * [taylor]: Taking taylor expansion of x in x
6.028 * [backup-simplify]: Simplify 0 into 0
6.028 * [backup-simplify]: Simplify 1 into 1
6.028 * [backup-simplify]: Simplify (* 1 1) into 1
6.029 * [backup-simplify]: Simplify (/ 1 1) into 1
6.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.029 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.029 * [taylor]: Taking taylor expansion of y in x
6.029 * [backup-simplify]: Simplify y into y
6.029 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.029 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
6.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.029 * [taylor]: Taking taylor expansion of y in x
6.029 * [backup-simplify]: Simplify y into y
6.029 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.029 * [taylor]: Taking taylor expansion of x in x
6.029 * [backup-simplify]: Simplify 0 into 0
6.029 * [backup-simplify]: Simplify 1 into 1
6.029 * [backup-simplify]: Simplify (/ 1 1) into 1
6.030 * [backup-simplify]: Simplify (+ 1 0) into 1
6.030 * [backup-simplify]: Simplify (+ 0 1) into 1
6.030 * [backup-simplify]: Simplify (/ 1 1) into 1
6.030 * [backup-simplify]: Simplify (* -1 1) into -1
6.030 * [taylor]: Taking taylor expansion of -1 in y
6.030 * [backup-simplify]: Simplify -1 into -1
6.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.031 * [backup-simplify]: Simplify (+ 0 0) into 0
6.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.032 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
6.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y))
6.033 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 y))) (* 0 1)) into (/ 1 y)
6.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.033 * [taylor]: Taking taylor expansion of y in y
6.033 * [backup-simplify]: Simplify 0 into 0
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [backup-simplify]: Simplify (/ 1 1) into 1
6.033 * [backup-simplify]: Simplify 1 into 1
6.033 * [backup-simplify]: Simplify -1 into -1
6.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.034 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.035 * [backup-simplify]: Simplify (+ 0 0) into 0
6.036 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 2)))
6.036 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 (- (/ 1 y))) (* 0 1))) into (- (* 2 (/ 1 (pow y 2))))
6.036 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
6.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
6.036 * [taylor]: Taking taylor expansion of 2 in y
6.036 * [backup-simplify]: Simplify 2 into 2
6.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.036 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.036 * [taylor]: Taking taylor expansion of y in y
6.036 * [backup-simplify]: Simplify 0 into 0
6.036 * [backup-simplify]: Simplify 1 into 1
6.036 * [backup-simplify]: Simplify (* 1 1) into 1
6.037 * [backup-simplify]: Simplify (/ 1 1) into 1
6.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.038 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
6.038 * [backup-simplify]: Simplify (- 0) into 0
6.038 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.039 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify 0 into 0
6.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.040 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.041 * [backup-simplify]: Simplify (+ 0 0) into 0
6.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.042 * [backup-simplify]: Simplify (+ 0 0) into 0
6.043 * [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))))
6.043 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 3))))) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into (* 2 (/ 1 (pow y 3)))
6.043 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
6.043 * [taylor]: Taking taylor expansion of 2 in y
6.043 * [backup-simplify]: Simplify 2 into 2
6.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
6.043 * [taylor]: Taking taylor expansion of (pow y 3) in y
6.043 * [taylor]: Taking taylor expansion of y in y
6.043 * [backup-simplify]: Simplify 0 into 0
6.043 * [backup-simplify]: Simplify 1 into 1
6.044 * [backup-simplify]: Simplify (* 1 1) into 1
6.044 * [backup-simplify]: Simplify (* 1 1) into 1
6.044 * [backup-simplify]: Simplify (/ 1 1) into 1
6.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
6.047 * [backup-simplify]: Simplify 0 into 0
6.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
6.049 * [backup-simplify]: Simplify (- 0) into 0
6.049 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* 1 (* (/ 1 (/ 1 (- y))) 1))) into (- x y)
6.050 * * * * [progress]: [ 2 / 3 ] generating series at (2)
6.050 * [backup-simplify]: Simplify (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))
6.050 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0
6.050 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y
6.050 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
6.050 * [taylor]: Taking taylor expansion of (+ x y) in y
6.050 * [taylor]: Taking taylor expansion of x in y
6.050 * [backup-simplify]: Simplify x into x
6.050 * [taylor]: Taking taylor expansion of y in y
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.050 * [taylor]: Taking taylor expansion of (- x y) in y
6.050 * [taylor]: Taking taylor expansion of x in y
6.050 * [backup-simplify]: Simplify x into x
6.050 * [taylor]: Taking taylor expansion of y in y
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
6.050 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.050 * [taylor]: Taking taylor expansion of x in y
6.050 * [backup-simplify]: Simplify x into x
6.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.050 * [taylor]: Taking taylor expansion of y in y
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.051 * [backup-simplify]: Simplify (+ x 0) into x
6.051 * [backup-simplify]: Simplify (- 0) into 0
6.051 * [backup-simplify]: Simplify (+ x 0) into x
6.051 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.051 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.051 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
6.051 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
6.051 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
6.051 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
6.051 * [taylor]: Taking taylor expansion of (+ x y) in x
6.051 * [taylor]: Taking taylor expansion of x in x
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [taylor]: Taking taylor expansion of y in x
6.051 * [backup-simplify]: Simplify y into y
6.051 * [taylor]: Taking taylor expansion of (- x y) in x
6.051 * [taylor]: Taking taylor expansion of x in x
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [taylor]: Taking taylor expansion of y in x
6.051 * [backup-simplify]: Simplify y into y
6.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
6.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.051 * [taylor]: Taking taylor expansion of x in x
6.051 * [backup-simplify]: Simplify 0 into 0
6.051 * [backup-simplify]: Simplify 1 into 1
6.051 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.051 * [taylor]: Taking taylor expansion of y in x
6.052 * [backup-simplify]: Simplify y into y
6.052 * [backup-simplify]: Simplify (+ 0 y) into y
6.052 * [backup-simplify]: Simplify (- y) into (- y)
6.052 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
6.052 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
6.052 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.052 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
6.052 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
6.052 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
6.052 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
6.052 * [taylor]: Taking taylor expansion of (+ x y) in x
6.052 * [taylor]: Taking taylor expansion of x in x
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify 1 into 1
6.052 * [taylor]: Taking taylor expansion of y in x
6.052 * [backup-simplify]: Simplify y into y
6.052 * [taylor]: Taking taylor expansion of (- x y) in x
6.052 * [taylor]: Taking taylor expansion of x in x
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify 1 into 1
6.052 * [taylor]: Taking taylor expansion of y in x
6.052 * [backup-simplify]: Simplify y into y
6.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
6.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.052 * [taylor]: Taking taylor expansion of x in x
6.052 * [backup-simplify]: Simplify 0 into 0
6.052 * [backup-simplify]: Simplify 1 into 1
6.052 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.052 * [taylor]: Taking taylor expansion of y in x
6.052 * [backup-simplify]: Simplify y into y
6.052 * [backup-simplify]: Simplify (+ 0 y) into y
6.052 * [backup-simplify]: Simplify (- y) into (- y)
6.052 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
6.052 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
6.052 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.053 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
6.053 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
6.053 * [taylor]: Taking taylor expansion of -1 in y
6.053 * [backup-simplify]: Simplify -1 into -1
6.053 * [backup-simplify]: Simplify -1 into -1
6.053 * [backup-simplify]: Simplify (- 0) into 0
6.053 * [backup-simplify]: Simplify (+ 1 0) into 1
6.054 * [backup-simplify]: Simplify (+ 1 0) into 1
6.054 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
6.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.054 * [backup-simplify]: Simplify (+ 0 0) into 0
6.054 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
6.054 * [taylor]: Taking taylor expansion of 0 in y
6.054 * [backup-simplify]: Simplify 0 into 0
6.054 * [backup-simplify]: Simplify 0 into 0
6.054 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify (- 0) into 0
6.055 * [backup-simplify]: Simplify (+ 0 0) into 0
6.055 * [backup-simplify]: Simplify (+ 0 0) into 0
6.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
6.056 * [backup-simplify]: Simplify (* 1 1) into 1
6.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.056 * [backup-simplify]: Simplify (+ 1 0) into 1
6.057 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
6.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
6.057 * [taylor]: Taking taylor expansion of 2 in y
6.057 * [backup-simplify]: Simplify 2 into 2
6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.057 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.057 * [taylor]: Taking taylor expansion of y in y
6.057 * [backup-simplify]: Simplify 0 into 0
6.057 * [backup-simplify]: Simplify 1 into 1
6.057 * [backup-simplify]: Simplify (* 1 1) into 1
6.057 * [backup-simplify]: Simplify (/ 1 1) into 1
6.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
6.060 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify 0 into 0
6.060 * [backup-simplify]: Simplify (- 0) into 0
6.060 * [backup-simplify]: Simplify (+ 0 0) into 0
6.060 * [backup-simplify]: Simplify (+ 0 0) into 0
6.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
6.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.062 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.062 * [backup-simplify]: Simplify (+ 0 0) into 0
6.063 * [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
6.063 * [taylor]: Taking taylor expansion of 0 in y
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify -1 into -1
6.063 * [backup-simplify]: Simplify (/ (- (/ 1 x) (/ 1 y)) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
6.063 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
6.063 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
6.063 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
6.063 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
6.063 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.063 * [taylor]: Taking taylor expansion of x in y
6.063 * [backup-simplify]: Simplify x into x
6.063 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.063 * [taylor]: Taking taylor expansion of y in y
6.063 * [backup-simplify]: Simplify 0 into 0
6.063 * [backup-simplify]: Simplify 1 into 1
6.064 * [backup-simplify]: Simplify (/ 1 1) into 1
6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
6.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.064 * [taylor]: Taking taylor expansion of y in y
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.064 * [backup-simplify]: Simplify (/ 1 1) into 1
6.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.064 * [taylor]: Taking taylor expansion of x in y
6.064 * [backup-simplify]: Simplify x into x
6.064 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.064 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.064 * [taylor]: Taking taylor expansion of x in y
6.064 * [backup-simplify]: Simplify x into x
6.064 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.064 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.064 * [taylor]: Taking taylor expansion of y in y
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (* 1 1) into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [backup-simplify]: Simplify (- 1) into -1
6.065 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.066 * [backup-simplify]: Simplify (+ 1 0) into 1
6.066 * [backup-simplify]: Simplify (* -1 1) into -1
6.066 * [backup-simplify]: Simplify (+ 0 1) into 1
6.067 * [backup-simplify]: Simplify (/ -1 1) into -1
6.067 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
6.067 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
6.067 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
6.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.067 * [taylor]: Taking taylor expansion of x in x
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 1 into 1
6.067 * [backup-simplify]: Simplify (/ 1 1) into 1
6.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.067 * [taylor]: Taking taylor expansion of y in x
6.067 * [backup-simplify]: Simplify y into y
6.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
6.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.067 * [taylor]: Taking taylor expansion of y in x
6.067 * [backup-simplify]: Simplify y into y
6.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.067 * [taylor]: Taking taylor expansion of x in x
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 1 into 1
6.067 * [backup-simplify]: Simplify (/ 1 1) into 1
6.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.068 * [taylor]: Taking taylor expansion of x in x
6.068 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify 1 into 1
6.068 * [backup-simplify]: Simplify (* 1 1) into 1
6.068 * [backup-simplify]: Simplify (/ 1 1) into 1
6.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.068 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.068 * [taylor]: Taking taylor expansion of y in x
6.068 * [backup-simplify]: Simplify y into y
6.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.069 * [backup-simplify]: Simplify (+ 1 0) into 1
6.069 * [backup-simplify]: Simplify (+ 0 1) into 1
6.069 * [backup-simplify]: Simplify (* 1 1) into 1
6.069 * [backup-simplify]: Simplify (+ 1 0) into 1
6.070 * [backup-simplify]: Simplify (/ 1 1) into 1
6.070 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
6.070 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
6.070 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
6.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.070 * [taylor]: Taking taylor expansion of x in x
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.070 * [backup-simplify]: Simplify (/ 1 1) into 1
6.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.070 * [taylor]: Taking taylor expansion of y in x
6.070 * [backup-simplify]: Simplify y into y
6.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
6.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.070 * [taylor]: Taking taylor expansion of y in x
6.070 * [backup-simplify]: Simplify y into y
6.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.070 * [taylor]: Taking taylor expansion of x in x
6.070 * [backup-simplify]: Simplify 0 into 0
6.070 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (/ 1 1) into 1
6.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.071 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.071 * [taylor]: Taking taylor expansion of x in x
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (* 1 1) into 1
6.071 * [backup-simplify]: Simplify (/ 1 1) into 1
6.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.071 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.071 * [taylor]: Taking taylor expansion of y in x
6.071 * [backup-simplify]: Simplify y into y
6.071 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.071 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.072 * [backup-simplify]: Simplify (+ 1 0) into 1
6.072 * [backup-simplify]: Simplify (+ 0 1) into 1
6.072 * [backup-simplify]: Simplify (* 1 1) into 1
6.072 * [backup-simplify]: Simplify (+ 1 0) into 1
6.073 * [backup-simplify]: Simplify (/ 1 1) into 1
6.073 * [taylor]: Taking taylor expansion of 1 in y
6.073 * [backup-simplify]: Simplify 1 into 1
6.073 * [backup-simplify]: Simplify 1 into 1
6.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.073 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
6.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.075 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
6.075 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
6.075 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
6.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.076 * [backup-simplify]: Simplify (+ 0 0) into 0
6.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
6.077 * [taylor]: Taking taylor expansion of 0 in y
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.078 * [backup-simplify]: Simplify (+ 0 0) into 0
6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.078 * [backup-simplify]: Simplify (- 0) into 0
6.079 * [backup-simplify]: Simplify (+ 0 0) into 0
6.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
6.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.084 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
6.084 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
6.084 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
6.084 * [taylor]: Taking taylor expansion of 2 in y
6.084 * [backup-simplify]: Simplify 2 into 2
6.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.084 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.084 * [taylor]: Taking taylor expansion of y in y
6.084 * [backup-simplify]: Simplify 0 into 0
6.084 * [backup-simplify]: Simplify 1 into 1
6.084 * [backup-simplify]: Simplify (* 1 1) into 1
6.085 * [backup-simplify]: Simplify (/ 1 1) into 1
6.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
6.087 * [backup-simplify]: Simplify (- 0) into 0
6.087 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.088 * [backup-simplify]: Simplify (+ 0 0) into 0
6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.089 * [backup-simplify]: Simplify (- 0) into 0
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
6.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.091 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.091 * [backup-simplify]: Simplify (+ 0 0) into 0
6.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
6.093 * [taylor]: Taking taylor expansion of 0 in y
6.093 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify 1 into 1
6.093 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (/ 1 (- y))) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
6.093 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
6.093 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
6.093 * [taylor]: Taking taylor expansion of -1 in y
6.093 * [backup-simplify]: Simplify -1 into -1
6.093 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
6.093 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
6.093 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
6.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.093 * [taylor]: Taking taylor expansion of y in y
6.093 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify 1 into 1
6.094 * [backup-simplify]: Simplify (/ 1 1) into 1
6.094 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.094 * [taylor]: Taking taylor expansion of x in y
6.094 * [backup-simplify]: Simplify x into x
6.094 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.094 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
6.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.094 * [taylor]: Taking taylor expansion of y in y
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 1 into 1
6.094 * [backup-simplify]: Simplify (/ 1 1) into 1
6.094 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.094 * [taylor]: Taking taylor expansion of x in y
6.094 * [backup-simplify]: Simplify x into x
6.094 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
6.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.094 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.094 * [taylor]: Taking taylor expansion of x in y
6.094 * [backup-simplify]: Simplify x into x
6.094 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.094 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.094 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.094 * [taylor]: Taking taylor expansion of y in y
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 1 into 1
6.095 * [backup-simplify]: Simplify (* 1 1) into 1
6.095 * [backup-simplify]: Simplify (/ 1 1) into 1
6.095 * [backup-simplify]: Simplify (+ 1 0) into 1
6.095 * [backup-simplify]: Simplify (+ 1 0) into 1
6.096 * [backup-simplify]: Simplify (* 1 1) into 1
6.096 * [backup-simplify]: Simplify (+ 0 1) into 1
6.096 * [backup-simplify]: Simplify (/ 1 1) into 1
6.096 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
6.096 * [taylor]: Taking taylor expansion of -1 in x
6.096 * [backup-simplify]: Simplify -1 into -1
6.096 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
6.096 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
6.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
6.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.096 * [taylor]: Taking taylor expansion of y in x
6.096 * [backup-simplify]: Simplify y into y
6.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.096 * [taylor]: Taking taylor expansion of x in x
6.096 * [backup-simplify]: Simplify 0 into 0
6.096 * [backup-simplify]: Simplify 1 into 1
6.097 * [backup-simplify]: Simplify (/ 1 1) into 1
6.097 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
6.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.097 * [taylor]: Taking taylor expansion of y in x
6.097 * [backup-simplify]: Simplify y into y
6.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.097 * [taylor]: Taking taylor expansion of x in x
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 1 into 1
6.097 * [backup-simplify]: Simplify (/ 1 1) into 1
6.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.097 * [taylor]: Taking taylor expansion of x in x
6.097 * [backup-simplify]: Simplify 0 into 0
6.097 * [backup-simplify]: Simplify 1 into 1
6.097 * [backup-simplify]: Simplify (* 1 1) into 1
6.098 * [backup-simplify]: Simplify (/ 1 1) into 1
6.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.098 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.098 * [taylor]: Taking taylor expansion of y in x
6.098 * [backup-simplify]: Simplify y into y
6.098 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.099 * [backup-simplify]: Simplify (+ 0 1) into 1
6.099 * [backup-simplify]: Simplify (- 1) into -1
6.099 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.100 * [backup-simplify]: Simplify (* 1 -1) into -1
6.100 * [backup-simplify]: Simplify (+ 1 0) into 1
6.101 * [backup-simplify]: Simplify (/ -1 1) into -1
6.101 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
6.101 * [taylor]: Taking taylor expansion of -1 in x
6.101 * [backup-simplify]: Simplify -1 into -1
6.101 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
6.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
6.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
6.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.101 * [taylor]: Taking taylor expansion of y in x
6.101 * [backup-simplify]: Simplify y into y
6.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.101 * [taylor]: Taking taylor expansion of x in x
6.101 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify 1 into 1
6.101 * [backup-simplify]: Simplify (/ 1 1) into 1
6.101 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
6.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.101 * [taylor]: Taking taylor expansion of y in x
6.101 * [backup-simplify]: Simplify y into y
6.102 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.102 * [taylor]: Taking taylor expansion of x in x
6.102 * [backup-simplify]: Simplify 0 into 0
6.102 * [backup-simplify]: Simplify 1 into 1
6.102 * [backup-simplify]: Simplify (/ 1 1) into 1
6.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.102 * [taylor]: Taking taylor expansion of x in x
6.102 * [backup-simplify]: Simplify 0 into 0
6.102 * [backup-simplify]: Simplify 1 into 1
6.103 * [backup-simplify]: Simplify (* 1 1) into 1
6.103 * [backup-simplify]: Simplify (/ 1 1) into 1
6.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.103 * [taylor]: Taking taylor expansion of y in x
6.103 * [backup-simplify]: Simplify y into y
6.103 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.104 * [backup-simplify]: Simplify (+ 0 1) into 1
6.104 * [backup-simplify]: Simplify (- 1) into -1
6.104 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.105 * [backup-simplify]: Simplify (* 1 -1) into -1
6.105 * [backup-simplify]: Simplify (+ 1 0) into 1
6.105 * [backup-simplify]: Simplify (/ -1 1) into -1
6.106 * [backup-simplify]: Simplify (* -1 -1) into 1
6.106 * [taylor]: Taking taylor expansion of 1 in y
6.106 * [backup-simplify]: Simplify 1 into 1
6.106 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.107 * [backup-simplify]: Simplify (- 0) into 0
6.107 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
6.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.108 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
6.108 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
6.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.110 * [backup-simplify]: Simplify (+ 0 0) into 0
6.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.111 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.111 * [taylor]: Taking taylor expansion of 0 in y
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.112 * [backup-simplify]: Simplify (- 0) into 0
6.113 * [backup-simplify]: Simplify (+ 0 0) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.114 * [backup-simplify]: Simplify (+ 0 0) into 0
6.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.117 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.118 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
6.118 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
6.119 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
6.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
6.119 * [taylor]: Taking taylor expansion of 2 in y
6.119 * [backup-simplify]: Simplify 2 into 2
6.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.119 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.119 * [taylor]: Taking taylor expansion of y in y
6.119 * [backup-simplify]: Simplify 0 into 0
6.119 * [backup-simplify]: Simplify 1 into 1
6.119 * [backup-simplify]: Simplify (* 1 1) into 1
6.119 * [backup-simplify]: Simplify (/ 1 1) into 1
6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
6.123 * [backup-simplify]: Simplify (- 0) into 0
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (- 0) into 0
6.125 * [backup-simplify]: Simplify (+ 0 0) into 0
6.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.126 * [backup-simplify]: Simplify (+ 0 0) into 0
6.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.130 * [backup-simplify]: Simplify (+ 0 0) into 0
6.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
6.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
6.132 * [taylor]: Taking taylor expansion of 0 in y
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1)
6.133 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
6.133 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
6.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
6.133 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.133 * [taylor]: Taking taylor expansion of x in y
6.133 * [backup-simplify]: Simplify x into x
6.133 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.133 * [taylor]: Taking taylor expansion of y in y
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
6.133 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.133 * [taylor]: Taking taylor expansion of x in x
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.133 * [taylor]: Taking taylor expansion of y in x
6.133 * [backup-simplify]: Simplify y into y
6.133 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
6.133 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.133 * [taylor]: Taking taylor expansion of x in x
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 1 into 1
6.133 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.133 * [taylor]: Taking taylor expansion of y in x
6.133 * [backup-simplify]: Simplify y into y
6.134 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.134 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
6.134 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.134 * [taylor]: Taking taylor expansion of y in y
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 1 into 1
6.134 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.134 * [backup-simplify]: Simplify (+ 0 0) into 0
6.134 * [taylor]: Taking taylor expansion of 0 in y
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify (* 1 1) into 1
6.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.135 * [backup-simplify]: Simplify (+ 1 0) into 1
6.135 * [taylor]: Taking taylor expansion of 1 in y
6.136 * [backup-simplify]: Simplify 1 into 1
6.136 * [backup-simplify]: Simplify 1 into 1
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify (* 1 1) into 1
6.136 * [backup-simplify]: Simplify 1 into 1
6.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
6.138 * [backup-simplify]: Simplify (+ 0 0) into 0
6.138 * [taylor]: Taking taylor expansion of 0 in y
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.138 * [backup-simplify]: Simplify 0 into 0
6.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
6.140 * [backup-simplify]: Simplify (+ 0 0) into 0
6.140 * [taylor]: Taking taylor expansion of 0 in y
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
6.141 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
6.141 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
6.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
6.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.141 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.141 * [taylor]: Taking taylor expansion of x in y
6.141 * [backup-simplify]: Simplify x into x
6.141 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.141 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.142 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.142 * [taylor]: Taking taylor expansion of y in y
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 1 into 1
6.142 * [backup-simplify]: Simplify (* 1 1) into 1
6.142 * [backup-simplify]: Simplify (/ 1 1) into 1
6.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.142 * [taylor]: Taking taylor expansion of x in x
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 1 into 1
6.143 * [backup-simplify]: Simplify (* 1 1) into 1
6.143 * [backup-simplify]: Simplify (/ 1 1) into 1
6.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.143 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.143 * [taylor]: Taking taylor expansion of y in x
6.143 * [backup-simplify]: Simplify y into y
6.143 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.143 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.143 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.143 * [taylor]: Taking taylor expansion of x in x
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify 1 into 1
6.144 * [backup-simplify]: Simplify (* 1 1) into 1
6.144 * [backup-simplify]: Simplify (/ 1 1) into 1
6.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.144 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.144 * [taylor]: Taking taylor expansion of y in x
6.144 * [backup-simplify]: Simplify y into y
6.144 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.144 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.145 * [backup-simplify]: Simplify (+ 1 0) into 1
6.145 * [taylor]: Taking taylor expansion of 1 in y
6.145 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.146 * [backup-simplify]: Simplify (+ 0 0) into 0
6.146 * [taylor]: Taking taylor expansion of 0 in y
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.148 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.148 * [taylor]: Taking taylor expansion of y in y
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 1 into 1
6.149 * [backup-simplify]: Simplify (* 1 1) into 1
6.149 * [backup-simplify]: Simplify (/ 1 1) into 1
6.149 * [backup-simplify]: Simplify 1 into 1
6.149 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.152 * [backup-simplify]: Simplify (+ 0 0) into 0
6.152 * [taylor]: Taking taylor expansion of 0 in y
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 0 into 0
6.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.155 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.156 * [backup-simplify]: Simplify (+ 0 0) into 0
6.156 * [taylor]: Taking taylor expansion of 0 in y
6.156 * [backup-simplify]: Simplify 0 into 0
6.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.158 * [backup-simplify]: Simplify 0 into 0
6.158 * [backup-simplify]: Simplify 0 into 0
6.158 * [backup-simplify]: Simplify 0 into 0
6.159 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
6.159 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
6.159 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
6.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
6.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
6.159 * [taylor]: Taking taylor expansion of (pow x 2) in y
6.159 * [taylor]: Taking taylor expansion of x in y
6.159 * [backup-simplify]: Simplify x into x
6.159 * [backup-simplify]: Simplify (* x x) into (pow x 2)
6.159 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
6.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.159 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.159 * [taylor]: Taking taylor expansion of y in y
6.159 * [backup-simplify]: Simplify 0 into 0
6.159 * [backup-simplify]: Simplify 1 into 1
6.160 * [backup-simplify]: Simplify (* 1 1) into 1
6.160 * [backup-simplify]: Simplify (/ 1 1) into 1
6.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.160 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.160 * [taylor]: Taking taylor expansion of x in x
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify 1 into 1
6.161 * [backup-simplify]: Simplify (* 1 1) into 1
6.161 * [backup-simplify]: Simplify (/ 1 1) into 1
6.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.161 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.161 * [taylor]: Taking taylor expansion of y in x
6.161 * [backup-simplify]: Simplify y into y
6.161 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.161 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
6.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
6.162 * [taylor]: Taking taylor expansion of (pow x 2) in x
6.162 * [taylor]: Taking taylor expansion of x in x
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify 1 into 1
6.162 * [backup-simplify]: Simplify (* 1 1) into 1
6.162 * [backup-simplify]: Simplify (/ 1 1) into 1
6.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
6.162 * [taylor]: Taking taylor expansion of (pow y 2) in x
6.162 * [taylor]: Taking taylor expansion of y in x
6.162 * [backup-simplify]: Simplify y into y
6.163 * [backup-simplify]: Simplify (* y y) into (pow y 2)
6.163 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
6.163 * [backup-simplify]: Simplify (+ 1 0) into 1
6.163 * [taylor]: Taking taylor expansion of 1 in y
6.163 * [backup-simplify]: Simplify 1 into 1
6.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.165 * [backup-simplify]: Simplify (+ 0 0) into 0
6.165 * [taylor]: Taking taylor expansion of 0 in y
6.165 * [backup-simplify]: Simplify 0 into 0
6.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.167 * [taylor]: Taking taylor expansion of y in y
6.167 * [backup-simplify]: Simplify 0 into 0
6.167 * [backup-simplify]: Simplify 1 into 1
6.167 * [backup-simplify]: Simplify (* 1 1) into 1
6.167 * [backup-simplify]: Simplify (/ 1 1) into 1
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify 1 into 1
6.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.169 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
6.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
6.170 * [backup-simplify]: Simplify (+ 0 0) into 0
6.170 * [taylor]: Taking taylor expansion of 0 in y
6.170 * [backup-simplify]: Simplify 0 into 0
6.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.172 * [backup-simplify]: Simplify 0 into 0
6.172 * [backup-simplify]: Simplify 0 into 0
6.172 * [backup-simplify]: Simplify 0 into 0
6.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.174 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
6.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
6.175 * [backup-simplify]: Simplify (+ 0 0) into 0
6.175 * [taylor]: Taking taylor expansion of 0 in y
6.175 * [backup-simplify]: Simplify 0 into 0
6.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.177 * [backup-simplify]: Simplify 0 into 0
6.177 * [backup-simplify]: Simplify 0 into 0
6.177 * [backup-simplify]: Simplify 0 into 0
6.177 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
6.177 * * * [progress]: simplifying candidates
6.182 * [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)))) 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))) 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 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)) 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 (- x y)) (- (log (+ (* x x) (* y y))) (log (+ x y))))
  (- (log (- x y)) (log (/ (+ (* x x) (* y y)) (+ x y))))
  (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))
  (exp (/ (- x y) (/ (+ (* x x) (* y 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 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 x) (* y y)) (+ x y)))))
  (cbrt (/ (- 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)) (+ x y))))
  (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)))
  (/ x (/ (+ (* x x) (* y y)) (+ x y)))
  (/ y (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* x x) (* y y)) (+ x y)))))
  (/ (cbrt (- x y)) (cbrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (cbrt (- x y)) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- 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)) (cbrt (- x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))))
  (/ (cbrt (- x y)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (cbrt (- x y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (cbrt (- x y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- 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)) (cbrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (cbrt (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 (sqrt (+ x y))))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ 1 1))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (+ (* x x) (* y y)))
  (/ (cbrt (- x y)) (/ 1 (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (cbrt (- x y)) (+ (* x x) (- (* y y) (* x y))))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (+ (* x x) (* y y)) (- (* x x) (* y 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)))) 1))
  (/ (sqrt (- x y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (sqrt (- x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (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))) 1))
  (/ (sqrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (sqrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (sqrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (sqrt (- x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (cbrt (+ x y))))
  (/ (sqrt (- x y)) (/ 1 (sqrt (+ x y))))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (/ (sqrt (- x y)) (/ 1 1))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (sqrt (- x y)) (/ 1 1))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (sqrt (- x y)) 1)
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (sqrt (- x y)) (+ (* x x) (* y y)))
  (/ (sqrt (- x y)) (/ 1 (+ x y)))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (sqrt (- x y)) (+ (* x x) (- (* y y) (* x y))))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (sqrt (- x y)) (- x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* 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))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- 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))) 1))
  (/ (- x y) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (- x y) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- x y) (/ (+ (* x x) (* y y)) (cbrt (+ x y))))
  (/ 1 (/ 1 (sqrt (+ x y))))
  (/ (- x y) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (/ 1 (/ 1 1))
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ 1 (/ 1 1))
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ 1 1)
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (- x y) (/ 1 (+ x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (- x y) (+ (* x x) (- (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (- x y) (- x y))
  (/ (+ (sqrt x) (sqrt y)) (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* x x) (* y y)) (+ x y)))))
  (/ (- (sqrt x) (sqrt y)) (cbrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (cbrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ 1 (sqrt (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ 1 1))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (/ 1 1))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) 1)
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (+ (* x x) (* y y)))
  (/ (- (sqrt x) (sqrt y)) (/ 1 (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (- (sqrt x) (sqrt y)) (+ (* x x) (- (* y y) (* x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (- (sqrt x) (sqrt y)) (- x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* 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))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- 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))) 1))
  (/ (- x y) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (- x y) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- x y) (/ (+ (* x x) (* y y)) (cbrt (+ x y))))
  (/ 1 (/ 1 (sqrt (+ x y))))
  (/ (- x y) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (/ 1 (/ 1 1))
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ 1 (/ 1 1))
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ 1 1)
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (- x y) (/ 1 (+ x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (- x y) (+ (* x x) (- (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y 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))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))))
  (/ (- x y) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- x y) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1))
  (/ (- 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))) 1))
  (/ (- x y) (/ (sqrt (+ (* x x) (* y y))) 1))
  (/ (- x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- x y) (/ 1 (sqrt (+ x y))))
  (/ (- x y) (/ 1 1))
  (/ (- x y) (/ 1 1))
  (/ (- x y) 1)
  (/ (- 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 x) (* y y))))
  (/ (/ (+ (* x x) (* y y)) (+ x y)) (cbrt (- 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)) (- (sqrt x) (sqrt y)))
  (/ (/ (+ (* x x) (* y y)) (+ x 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 y)) (+ x y))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (- y x)
  (- x y)
  (- x y)
  -1
  1
  1
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
6.193 * * [simplify]: Extracting # 0 : cost  0
6.193 * * [simplify]: Extracting # 1 : cost  0
6.194 * * [simplify]: Extracting # 2 : cost  0
6.195 * * [simplify]: Extracting # 3 : cost  0
6.195 * * [simplify]: Extracting # 4 : cost  0
6.196 * * [simplify]: Extracting # 5 : cost  0
6.196 * * [simplify]: Extracting # 6 : cost  0
6.197 * * [simplify]: Extracting # 7 : cost  0
6.197 * * [simplify]: iteration  0 :  245  enodes  (cost  4688 )
6.312 * * [simplify]: Extracting # 0 : cost  0
6.313 * * [simplify]: Extracting # 1 : cost  0
6.314 * * [simplify]: Extracting # 2 : cost  0
6.314 * * [simplify]: Extracting # 3 : cost  0
6.315 * * [simplify]: iteration  1 :  697  enodes  (cost  4481 )
6.700 * * [simplify]: Extracting # 0 : cost  0
6.703 * * [simplify]: Extracting # 1 : cost  0
6.799 * * [simplify]: Extracting # 2 : cost  0
6.805 * * [simplify]: Extracting # 3 : cost  0
6.811 * * [simplify]: Extracting # 4 : cost  0
6.816 * * [simplify]: iteration  2 :  2506  enodes  (cost  4301 )
7.993 * * [simplify]: Extracting # 0 : cost  0
8.005 * * [simplify]: Extracting # 1 : cost  0
8.017 * * [simplify]: Extracting # 2 : cost  0
8.029 * * [simplify]: Extracting # 3 : cost  0
8.036 * * [simplify]: Extracting # 4 : cost  0
8.042 * * [simplify]: iteration done:  5000  enodes  (cost  4282 )
8.044 * [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)) (+ y x))) (cbrt (/ (+ (* x x) (* y y)) (+ y x))))
  (cbrt (/ (+ (* x x) (* y y)) (+ y x)))
  (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))) (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))))
  (/ (cbrt (+ (* x x) (* y y))) (+ x 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 (+ y x)))
  (/ (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))) (+ y x))
  (sqrt (+ (* x x) (* y y)))
  (/ (sqrt (+ (* x x) (* y y))) (+ y x))
  (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))
  (/ (+ (* x x) (* y y)) (cbrt (+ y x)))
  (/ 1 (sqrt (+ x y)))
  (/ (+ (* x x) (* y y)) (sqrt (+ x y)))
  1
  (/ (+ (* x x) (* y y)) (+ y x))
  1
  (/ (+ (* x x) (* y y)) (+ y x))
  (/ 1 (+ x y))
  (/ (+ y x) (+ (* 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))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ y x) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (+ x y) (+ (* (* y y) (- (* y y) (* x x))) (pow x 4)))
  (* (+ x y) (- (* x x) (* y 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))))
  (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 (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (cbrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))))
  (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))))
  (- y x)
  (- (/ (+ (* x x) (* y y)) (+ x y)))
  (/ x (/ (+ (* x x) (* y y)) (+ x y)))
  (/ y (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* x x) (* y y)) (+ x y)))))
  (/ (cbrt (- x y)) (cbrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (cbrt (- x y)) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- 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)) (cbrt (- x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))))
  (/ (cbrt (- x y)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (* (cbrt (- x y)) (cbrt (- 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)) (cbrt (- 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)) (cbrt (- 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)) (cbrt (- x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ (cbrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (* (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (cbrt (+ x y))))
  (* (* (cbrt (- x y)) (cbrt (- x y))) (sqrt (+ x y)))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (* (cbrt (- x y)) (cbrt (- x y)))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (* (cbrt (- x y)) (cbrt (- x y)))
  (/ (cbrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
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  (* (+ y x) (cbrt (- x y)))
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  (/ (cbrt (- x y)) (+ (* y (- y x)) (* x x)))
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  (/ (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))))
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  (/ (sqrt (- x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
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  (/ (sqrt (- x y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y))))
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  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (sqrt (- x y))
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  (sqrt (- x y))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (sqrt (- x y))
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  (* (sqrt (- x y)) (+ y x))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (sqrt (- x y)) (+ (* y (- y x)) (* x x)))
  (/ (sqrt (- x y)) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (sqrt (- x y)) (- x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* 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))))
  (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y 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)))))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y 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))))
  (/ (- 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
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  1
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  1
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  (/ 1 (+ (* x x) (* y y)))
  (- (* x x) (* y y))
  (/ (+ (pow x 3) (pow y 3)) (+ (* x x) (* y y)))
  (/ (- x y) (+ (* y (- y x)) (* x x)))
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  1
  (/ (+ (sqrt x) (sqrt y)) (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* x x) (* y y)) (+ x y)))))
  (/ (- (sqrt x) (sqrt y)) (cbrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (sqrt (/ (+ (* x x) (* y y)) (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (- (sqrt x) (sqrt y)) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))))
  (/ (+ (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y))))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y))))
  (/ (- (sqrt x) (sqrt y)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (* (+ (sqrt x) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (cbrt (+ x y))))
  (* (+ (sqrt x) (sqrt y)) (sqrt (+ x y)))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (sqrt (+ x y))))
  (+ (sqrt x) (sqrt y))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (+ (sqrt x) (sqrt y))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (+ (sqrt x) (sqrt y))
  (/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (+ (sqrt x) (sqrt y)) (+ (* x x) (* y y)))
  (* (+ y x) (- (sqrt x) (sqrt y)))
  (/ (+ (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (- (sqrt x) (sqrt y)) (+ (* y (- y x)) (* x x)))
  (/ (+ (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (- (sqrt x) (sqrt y)) (- x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* 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))))
  (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (sqrt (+ x y)) (* (cbrt (+ (* x x) (* y 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)))))
  (/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y))))
  (/ (sqrt (+ x y)) (sqrt (+ (* x x) (* y 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))))
  (/ (- 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
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  1
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  1
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  (/ 1 (+ (* x x) (* y y)))
  (- (* x x) (* y y))
  (/ (+ (pow x 3) (pow y 3)) (+ (* x x) (* y y)))
  (/ (- x y) (+ (* y (- y x)) (* x x)))
  (* (/ (+ y x) (+ (* x x) (* y y))) (- x y))
  1
  (/ (+ y x) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y 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))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x 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)))))
  (/ (- 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))))
  (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y))))
  (* (- x y) (sqrt (+ x y)))
  (- x 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)) (+ x y)) (cbrt (- x y)))
  (/ (/ (+ (* x x) (* y y)) (+ x y)) (sqrt (- x y)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (/ (+ (* x x) (* y y)) (+ x y)) (- (sqrt x) (sqrt y)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (- x y) (+ (* x x) (* y y)))
  (* (+ (* y (+ x y)) (* x x)) (/ (+ (* x x) (* y y)) (+ x y)))
  (+ (* x x) (* y y))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  (- y x)
  (- x y)
  (- x y)
  -1
  1
  1
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
8.049 * * * [progress]: adding candidates to table
8.588 * * [progress]: iteration 3 / 4
8.588 * * * [progress]: picking best candidate
8.594 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y)))))>
8.594 * * * [progress]: localizing error
8.623 * * * [progress]: generating rewritten candidates
8.624 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
8.672 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
8.722 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
8.756 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
9.193 * * * [progress]: generating series expansions
9.193 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
9.193 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (+ x y)) into (/ (+ (pow x 2) (pow y 2)) (+ x y))
9.193 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0
9.193 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y
9.193 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.193 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.193 * [taylor]: Taking taylor expansion of x in y
9.193 * [backup-simplify]: Simplify x into x
9.193 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.193 * [taylor]: Taking taylor expansion of y in y
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 1 into 1
9.193 * [taylor]: Taking taylor expansion of (+ x y) in y
9.193 * [taylor]: Taking taylor expansion of x in y
9.193 * [backup-simplify]: Simplify x into x
9.193 * [taylor]: Taking taylor expansion of y in y
9.193 * [backup-simplify]: Simplify 0 into 0
9.193 * [backup-simplify]: Simplify 1 into 1
9.193 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.193 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.194 * [backup-simplify]: Simplify (+ x 0) into x
9.194 * [backup-simplify]: Simplify (/ (pow x 2) x) into x
9.194 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x
9.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.194 * [taylor]: Taking taylor expansion of x in x
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 1 into 1
9.194 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.194 * [taylor]: Taking taylor expansion of y in x
9.194 * [backup-simplify]: Simplify y into y
9.194 * [taylor]: Taking taylor expansion of (+ x y) in x
9.194 * [taylor]: Taking taylor expansion of x in x
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 1 into 1
9.194 * [taylor]: Taking taylor expansion of y in x
9.194 * [backup-simplify]: Simplify y into y
9.194 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.194 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.194 * [backup-simplify]: Simplify (+ 0 y) into y
9.194 * [backup-simplify]: Simplify (/ (pow y 2) y) into y
9.194 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x
9.194 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.194 * [taylor]: Taking taylor expansion of x in x
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 1 into 1
9.194 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.194 * [taylor]: Taking taylor expansion of y in x
9.194 * [backup-simplify]: Simplify y into y
9.194 * [taylor]: Taking taylor expansion of (+ x y) in x
9.194 * [taylor]: Taking taylor expansion of x in x
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify 1 into 1
9.194 * [taylor]: Taking taylor expansion of y in x
9.194 * [backup-simplify]: Simplify y into y
9.194 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.194 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.195 * [backup-simplify]: Simplify (+ 0 y) into y
9.195 * [backup-simplify]: Simplify (/ (pow y 2) y) into y
9.195 * [taylor]: Taking taylor expansion of y in y
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify 1 into 1
9.195 * [backup-simplify]: Simplify 0 into 0
9.195 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.195 * [backup-simplify]: Simplify (+ 0 0) into 0
9.196 * [backup-simplify]: Simplify (+ 1 0) into 1
9.196 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* y (/ 1 y)))) into (- 1)
9.196 * [taylor]: Taking taylor expansion of (- 1) in y
9.196 * [taylor]: Taking taylor expansion of 1 in y
9.196 * [backup-simplify]: Simplify 1 into 1
9.196 * [backup-simplify]: Simplify (- 1) into -1
9.196 * [backup-simplify]: Simplify -1 into -1
9.196 * [backup-simplify]: Simplify 1 into 1
9.196 * [backup-simplify]: Simplify (* 1 1) into 1
9.197 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.197 * [backup-simplify]: Simplify (+ 1 0) into 1
9.197 * [backup-simplify]: Simplify (+ 0 0) into 0
9.198 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* y (/ 0 y)) (* (- 1) (/ 1 y)))) into (* 2 (/ 1 y))
9.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
9.198 * [taylor]: Taking taylor expansion of 2 in y
9.198 * [backup-simplify]: Simplify 2 into 2
9.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.198 * [taylor]: Taking taylor expansion of y in y
9.198 * [backup-simplify]: Simplify 0 into 0
9.198 * [backup-simplify]: Simplify 1 into 1
9.198 * [backup-simplify]: Simplify (/ 1 1) into 1
9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.199 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.199 * [backup-simplify]: Simplify 0 into 0
9.199 * [backup-simplify]: Simplify (- 0) into 0
9.199 * [backup-simplify]: Simplify 0 into 0
9.199 * [backup-simplify]: Simplify 0 into 0
9.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.200 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.200 * [backup-simplify]: Simplify (+ 0 0) into 0
9.201 * [backup-simplify]: Simplify (+ 0 0) into 0
9.201 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* y (/ 0 y)) (* (- 1) (/ 0 y)) (* (* 2 (/ 1 y)) (/ 1 y)))) into (- (* 2 (/ 1 (pow y 2))))
9.201 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
9.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.201 * [taylor]: Taking taylor expansion of 2 in y
9.201 * [backup-simplify]: Simplify 2 into 2
9.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.201 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.201 * [taylor]: Taking taylor expansion of y in y
9.201 * [backup-simplify]: Simplify 0 into 0
9.201 * [backup-simplify]: Simplify 1 into 1
9.202 * [backup-simplify]: Simplify (* 1 1) into 1
9.202 * [backup-simplify]: Simplify (/ 1 1) into 1
9.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.204 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.204 * [backup-simplify]: Simplify (- 0) into 0
9.204 * [backup-simplify]: Simplify 0 into 0
9.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.205 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.205 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify (- 0) into 0
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* -1 (* 1 x))) into (- y x)
9.206 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))
9.206 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0
9.206 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y
9.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.206 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.206 * [taylor]: Taking taylor expansion of x in y
9.206 * [backup-simplify]: Simplify x into x
9.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.206 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.206 * [taylor]: Taking taylor expansion of y in y
9.206 * [backup-simplify]: Simplify 0 into 0
9.206 * [backup-simplify]: Simplify 1 into 1
9.207 * [backup-simplify]: Simplify (* 1 1) into 1
9.207 * [backup-simplify]: Simplify (/ 1 1) into 1
9.207 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.207 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.207 * [taylor]: Taking taylor expansion of y in y
9.207 * [backup-simplify]: Simplify 0 into 0
9.207 * [backup-simplify]: Simplify 1 into 1
9.207 * [backup-simplify]: Simplify (/ 1 1) into 1
9.207 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.207 * [taylor]: Taking taylor expansion of x in y
9.207 * [backup-simplify]: Simplify x into x
9.207 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.208 * [backup-simplify]: Simplify (+ 0 1) into 1
9.208 * [backup-simplify]: Simplify (+ 1 0) into 1
9.208 * [backup-simplify]: Simplify (/ 1 1) into 1
9.208 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.208 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.208 * [taylor]: Taking taylor expansion of x in x
9.208 * [backup-simplify]: Simplify 0 into 0
9.208 * [backup-simplify]: Simplify 1 into 1
9.208 * [backup-simplify]: Simplify (* 1 1) into 1
9.209 * [backup-simplify]: Simplify (/ 1 1) into 1
9.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.209 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.209 * [taylor]: Taking taylor expansion of y in x
9.209 * [backup-simplify]: Simplify y into y
9.209 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.209 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.209 * [taylor]: Taking taylor expansion of y in x
9.209 * [backup-simplify]: Simplify y into y
9.209 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.209 * [taylor]: Taking taylor expansion of x in x
9.209 * [backup-simplify]: Simplify 0 into 0
9.209 * [backup-simplify]: Simplify 1 into 1
9.209 * [backup-simplify]: Simplify (/ 1 1) into 1
9.210 * [backup-simplify]: Simplify (+ 1 0) into 1
9.210 * [backup-simplify]: Simplify (+ 0 1) into 1
9.210 * [backup-simplify]: Simplify (/ 1 1) into 1
9.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.210 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.210 * [taylor]: Taking taylor expansion of x in x
9.210 * [backup-simplify]: Simplify 0 into 0
9.210 * [backup-simplify]: Simplify 1 into 1
9.210 * [backup-simplify]: Simplify (* 1 1) into 1
9.211 * [backup-simplify]: Simplify (/ 1 1) into 1
9.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.211 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.211 * [taylor]: Taking taylor expansion of y in x
9.211 * [backup-simplify]: Simplify y into y
9.211 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.211 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.211 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.211 * [taylor]: Taking taylor expansion of y in x
9.211 * [backup-simplify]: Simplify y into y
9.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.211 * [taylor]: Taking taylor expansion of x in x
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify 1 into 1
9.211 * [backup-simplify]: Simplify (/ 1 1) into 1
9.212 * [backup-simplify]: Simplify (+ 1 0) into 1
9.212 * [backup-simplify]: Simplify (+ 0 1) into 1
9.212 * [backup-simplify]: Simplify (/ 1 1) into 1
9.212 * [taylor]: Taking taylor expansion of 1 in y
9.212 * [backup-simplify]: Simplify 1 into 1
9.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.213 * [backup-simplify]: Simplify (+ 0 0) into 0
9.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.214 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
9.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y))
9.214 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
9.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.214 * [taylor]: Taking taylor expansion of y in y
9.214 * [backup-simplify]: Simplify 0 into 0
9.214 * [backup-simplify]: Simplify 1 into 1
9.214 * [backup-simplify]: Simplify (/ 1 1) into 1
9.215 * [backup-simplify]: Simplify (- 1) into -1
9.215 * [backup-simplify]: Simplify -1 into -1
9.215 * [backup-simplify]: Simplify 1 into 1
9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
9.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.217 * [backup-simplify]: Simplify (+ 0 0) into 0
9.218 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 2)))
9.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.218 * [taylor]: Taking taylor expansion of 2 in y
9.218 * [backup-simplify]: Simplify 2 into 2
9.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.218 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.218 * [taylor]: Taking taylor expansion of y in y
9.218 * [backup-simplify]: Simplify 0 into 0
9.218 * [backup-simplify]: Simplify 1 into 1
9.218 * [backup-simplify]: Simplify (* 1 1) into 1
9.218 * [backup-simplify]: Simplify (/ 1 1) into 1
9.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.221 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.222 * [backup-simplify]: Simplify (- 0) into 0
9.222 * [backup-simplify]: Simplify 0 into 0
9.222 * [backup-simplify]: Simplify 0 into 0
9.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.223 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.224 * [backup-simplify]: Simplify (+ 0 0) into 0
9.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.225 * [backup-simplify]: Simplify (+ 0 0) into 0
9.226 * [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))))
9.226 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y
9.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
9.226 * [taylor]: Taking taylor expansion of 2 in y
9.226 * [backup-simplify]: Simplify 2 into 2
9.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
9.226 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.226 * [taylor]: Taking taylor expansion of y in y
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 1 into 1
9.226 * [backup-simplify]: Simplify (* 1 1) into 1
9.226 * [backup-simplify]: Simplify (* 1 1) into 1
9.227 * [backup-simplify]: Simplify (/ 1 1) into 1
9.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.230 * [backup-simplify]: Simplify (- 0) into 0
9.230 * [backup-simplify]: Simplify 0 into 0
9.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.232 * [backup-simplify]: Simplify 0 into 0
9.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.233 * [backup-simplify]: Simplify (- 0) into 0
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* -1 (* (/ 1 (/ 1 y)) 1))) into (- x y)
9.233 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))))
9.233 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0
9.233 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y
9.233 * [taylor]: Taking taylor expansion of -1 in y
9.233 * [backup-simplify]: Simplify -1 into -1
9.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y
9.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.233 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.233 * [taylor]: Taking taylor expansion of x in y
9.233 * [backup-simplify]: Simplify x into x
9.233 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.233 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.233 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.233 * [taylor]: Taking taylor expansion of y in y
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify 1 into 1
9.234 * [backup-simplify]: Simplify (* 1 1) into 1
9.234 * [backup-simplify]: Simplify (/ 1 1) into 1
9.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.234 * [taylor]: Taking taylor expansion of y in y
9.234 * [backup-simplify]: Simplify 0 into 0
9.234 * [backup-simplify]: Simplify 1 into 1
9.234 * [backup-simplify]: Simplify (/ 1 1) into 1
9.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.234 * [taylor]: Taking taylor expansion of x in y
9.234 * [backup-simplify]: Simplify x into x
9.234 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.235 * [backup-simplify]: Simplify (+ 0 1) into 1
9.235 * [backup-simplify]: Simplify (+ 1 0) into 1
9.235 * [backup-simplify]: Simplify (/ 1 1) into 1
9.235 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x
9.235 * [taylor]: Taking taylor expansion of -1 in x
9.235 * [backup-simplify]: Simplify -1 into -1
9.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.235 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.235 * [taylor]: Taking taylor expansion of x in x
9.235 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify 1 into 1
9.236 * [backup-simplify]: Simplify (* 1 1) into 1
9.236 * [backup-simplify]: Simplify (/ 1 1) into 1
9.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.236 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.236 * [taylor]: Taking taylor expansion of y in x
9.236 * [backup-simplify]: Simplify y into y
9.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.236 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.236 * [taylor]: Taking taylor expansion of y in x
9.236 * [backup-simplify]: Simplify y into y
9.236 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.236 * [taylor]: Taking taylor expansion of x in x
9.236 * [backup-simplify]: Simplify 0 into 0
9.236 * [backup-simplify]: Simplify 1 into 1
9.236 * [backup-simplify]: Simplify (/ 1 1) into 1
9.237 * [backup-simplify]: Simplify (+ 1 0) into 1
9.237 * [backup-simplify]: Simplify (+ 0 1) into 1
9.237 * [backup-simplify]: Simplify (/ 1 1) into 1
9.237 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x
9.237 * [taylor]: Taking taylor expansion of -1 in x
9.237 * [backup-simplify]: Simplify -1 into -1
9.237 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.237 * [taylor]: Taking taylor expansion of x in x
9.237 * [backup-simplify]: Simplify 0 into 0
9.237 * [backup-simplify]: Simplify 1 into 1
9.238 * [backup-simplify]: Simplify (* 1 1) into 1
9.238 * [backup-simplify]: Simplify (/ 1 1) into 1
9.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.238 * [taylor]: Taking taylor expansion of y in x
9.238 * [backup-simplify]: Simplify y into y
9.238 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.238 * [taylor]: Taking taylor expansion of y in x
9.238 * [backup-simplify]: Simplify y into y
9.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.238 * [taylor]: Taking taylor expansion of x in x
9.238 * [backup-simplify]: Simplify 0 into 0
9.238 * [backup-simplify]: Simplify 1 into 1
9.238 * [backup-simplify]: Simplify (/ 1 1) into 1
9.239 * [backup-simplify]: Simplify (+ 1 0) into 1
9.239 * [backup-simplify]: Simplify (+ 0 1) into 1
9.239 * [backup-simplify]: Simplify (/ 1 1) into 1
9.239 * [backup-simplify]: Simplify (* -1 1) into -1
9.240 * [taylor]: Taking taylor expansion of -1 in y
9.240 * [backup-simplify]: Simplify -1 into -1
9.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.241 * [backup-simplify]: Simplify (+ 0 0) into 0
9.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.241 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
9.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y))
9.242 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 y))) (* 0 1)) into (/ 1 y)
9.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.242 * [taylor]: Taking taylor expansion of y in y
9.242 * [backup-simplify]: Simplify 0 into 0
9.242 * [backup-simplify]: Simplify 1 into 1
9.242 * [backup-simplify]: Simplify (/ 1 1) into 1
9.242 * [backup-simplify]: Simplify 1 into 1
9.242 * [backup-simplify]: Simplify -1 into -1
9.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.243 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
9.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.244 * [backup-simplify]: Simplify (+ 0 0) into 0
9.245 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 2)))
9.245 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 (- (/ 1 y))) (* 0 1))) into (- (* 2 (/ 1 (pow y 2))))
9.245 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
9.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.245 * [taylor]: Taking taylor expansion of 2 in y
9.245 * [backup-simplify]: Simplify 2 into 2
9.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.245 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.245 * [taylor]: Taking taylor expansion of y in y
9.245 * [backup-simplify]: Simplify 0 into 0
9.245 * [backup-simplify]: Simplify 1 into 1
9.245 * [backup-simplify]: Simplify (* 1 1) into 1
9.246 * [backup-simplify]: Simplify (/ 1 1) into 1
9.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.247 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.247 * [backup-simplify]: Simplify (- 0) into 0
9.247 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.248 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.249 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.249 * [backup-simplify]: Simplify (+ 0 0) into 0
9.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.250 * [backup-simplify]: Simplify (+ 0 0) into 0
9.251 * [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))))
9.252 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 3))))) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into (* 2 (/ 1 (pow y 3)))
9.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
9.252 * [taylor]: Taking taylor expansion of 2 in y
9.252 * [backup-simplify]: Simplify 2 into 2
9.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
9.252 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.252 * [taylor]: Taking taylor expansion of y in y
9.252 * [backup-simplify]: Simplify 0 into 0
9.252 * [backup-simplify]: Simplify 1 into 1
9.252 * [backup-simplify]: Simplify (* 1 1) into 1
9.252 * [backup-simplify]: Simplify (* 1 1) into 1
9.252 * [backup-simplify]: Simplify (/ 1 1) into 1
9.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.256 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.256 * [backup-simplify]: Simplify 0 into 0
9.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.257 * [backup-simplify]: Simplify (- 0) into 0
9.258 * [backup-simplify]: Simplify 0 into 0
9.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.258 * [backup-simplify]: Simplify 0 into 0
9.258 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* 1 (* (/ 1 (/ 1 (- y))) 1))) into (- x y)
9.258 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
9.258 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (+ x y)) into (/ (+ (pow x 2) (pow y 2)) (+ x y))
9.258 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0
9.258 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y
9.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.259 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.259 * [taylor]: Taking taylor expansion of x in y
9.259 * [backup-simplify]: Simplify x into x
9.259 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.259 * [taylor]: Taking taylor expansion of y in y
9.259 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify 1 into 1
9.259 * [taylor]: Taking taylor expansion of (+ x y) in y
9.259 * [taylor]: Taking taylor expansion of x in y
9.259 * [backup-simplify]: Simplify x into x
9.259 * [taylor]: Taking taylor expansion of y in y
9.259 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify 1 into 1
9.259 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.259 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.259 * [backup-simplify]: Simplify (+ x 0) into x
9.259 * [backup-simplify]: Simplify (/ (pow x 2) x) into x
9.259 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x
9.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.259 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.259 * [taylor]: Taking taylor expansion of x in x
9.259 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify 1 into 1
9.259 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.259 * [taylor]: Taking taylor expansion of y in x
9.259 * [backup-simplify]: Simplify y into y
9.259 * [taylor]: Taking taylor expansion of (+ x y) in x
9.259 * [taylor]: Taking taylor expansion of x in x
9.259 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify 1 into 1
9.259 * [taylor]: Taking taylor expansion of y in x
9.259 * [backup-simplify]: Simplify y into y
9.259 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.259 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.259 * [backup-simplify]: Simplify (+ 0 y) into y
9.259 * [backup-simplify]: Simplify (/ (pow y 2) y) into y
9.260 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x
9.260 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.260 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.260 * [taylor]: Taking taylor expansion of x in x
9.260 * [backup-simplify]: Simplify 0 into 0
9.260 * [backup-simplify]: Simplify 1 into 1
9.260 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.260 * [taylor]: Taking taylor expansion of y in x
9.260 * [backup-simplify]: Simplify y into y
9.260 * [taylor]: Taking taylor expansion of (+ x y) in x
9.260 * [taylor]: Taking taylor expansion of x in x
9.260 * [backup-simplify]: Simplify 0 into 0
9.260 * [backup-simplify]: Simplify 1 into 1
9.260 * [taylor]: Taking taylor expansion of y in x
9.260 * [backup-simplify]: Simplify y into y
9.260 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.260 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.260 * [backup-simplify]: Simplify (+ 0 y) into y
9.260 * [backup-simplify]: Simplify (/ (pow y 2) y) into y
9.260 * [taylor]: Taking taylor expansion of y in y
9.260 * [backup-simplify]: Simplify 0 into 0
9.260 * [backup-simplify]: Simplify 1 into 1
9.260 * [backup-simplify]: Simplify 0 into 0
9.260 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.260 * [backup-simplify]: Simplify (+ 0 0) into 0
9.261 * [backup-simplify]: Simplify (+ 1 0) into 1
9.261 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* y (/ 1 y)))) into (- 1)
9.261 * [taylor]: Taking taylor expansion of (- 1) in y
9.261 * [taylor]: Taking taylor expansion of 1 in y
9.261 * [backup-simplify]: Simplify 1 into 1
9.261 * [backup-simplify]: Simplify (- 1) into -1
9.261 * [backup-simplify]: Simplify -1 into -1
9.261 * [backup-simplify]: Simplify 1 into 1
9.261 * [backup-simplify]: Simplify (* 1 1) into 1
9.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.262 * [backup-simplify]: Simplify (+ 1 0) into 1
9.262 * [backup-simplify]: Simplify (+ 0 0) into 0
9.263 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* y (/ 0 y)) (* (- 1) (/ 1 y)))) into (* 2 (/ 1 y))
9.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
9.263 * [taylor]: Taking taylor expansion of 2 in y
9.263 * [backup-simplify]: Simplify 2 into 2
9.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.263 * [taylor]: Taking taylor expansion of y in y
9.263 * [backup-simplify]: Simplify 0 into 0
9.263 * [backup-simplify]: Simplify 1 into 1
9.263 * [backup-simplify]: Simplify (/ 1 1) into 1
9.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.264 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.264 * [backup-simplify]: Simplify 0 into 0
9.265 * [backup-simplify]: Simplify (- 0) into 0
9.265 * [backup-simplify]: Simplify 0 into 0
9.265 * [backup-simplify]: Simplify 0 into 0
9.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.266 * [backup-simplify]: Simplify (+ 0 0) into 0
9.266 * [backup-simplify]: Simplify (+ 0 0) into 0
9.266 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* y (/ 0 y)) (* (- 1) (/ 0 y)) (* (* 2 (/ 1 y)) (/ 1 y)))) into (- (* 2 (/ 1 (pow y 2))))
9.266 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
9.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.267 * [taylor]: Taking taylor expansion of 2 in y
9.267 * [backup-simplify]: Simplify 2 into 2
9.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.267 * [taylor]: Taking taylor expansion of y in y
9.267 * [backup-simplify]: Simplify 0 into 0
9.267 * [backup-simplify]: Simplify 1 into 1
9.267 * [backup-simplify]: Simplify (* 1 1) into 1
9.267 * [backup-simplify]: Simplify (/ 1 1) into 1
9.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.270 * [backup-simplify]: Simplify (- 0) into 0
9.270 * [backup-simplify]: Simplify 0 into 0
9.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.271 * [backup-simplify]: Simplify 0 into 0
9.271 * [backup-simplify]: Simplify (- 0) into 0
9.271 * [backup-simplify]: Simplify 0 into 0
9.271 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* -1 (* 1 x))) into (- y x)
9.271 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))
9.271 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0
9.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y
9.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.271 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.271 * [taylor]: Taking taylor expansion of x in y
9.271 * [backup-simplify]: Simplify x into x
9.271 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.272 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.272 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.272 * [taylor]: Taking taylor expansion of y in y
9.272 * [backup-simplify]: Simplify 0 into 0
9.272 * [backup-simplify]: Simplify 1 into 1
9.272 * [backup-simplify]: Simplify (* 1 1) into 1
9.272 * [backup-simplify]: Simplify (/ 1 1) into 1
9.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.272 * [taylor]: Taking taylor expansion of y in y
9.272 * [backup-simplify]: Simplify 0 into 0
9.272 * [backup-simplify]: Simplify 1 into 1
9.272 * [backup-simplify]: Simplify (/ 1 1) into 1
9.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.272 * [taylor]: Taking taylor expansion of x in y
9.273 * [backup-simplify]: Simplify x into x
9.273 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.273 * [backup-simplify]: Simplify (+ 0 1) into 1
9.273 * [backup-simplify]: Simplify (+ 1 0) into 1
9.273 * [backup-simplify]: Simplify (/ 1 1) into 1
9.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.273 * [taylor]: Taking taylor expansion of x in x
9.273 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify 1 into 1
9.274 * [backup-simplify]: Simplify (* 1 1) into 1
9.274 * [backup-simplify]: Simplify (/ 1 1) into 1
9.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.274 * [taylor]: Taking taylor expansion of y in x
9.274 * [backup-simplify]: Simplify y into y
9.274 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.274 * [taylor]: Taking taylor expansion of y in x
9.274 * [backup-simplify]: Simplify y into y
9.274 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.274 * [taylor]: Taking taylor expansion of x in x
9.274 * [backup-simplify]: Simplify 0 into 0
9.274 * [backup-simplify]: Simplify 1 into 1
9.275 * [backup-simplify]: Simplify (/ 1 1) into 1
9.275 * [backup-simplify]: Simplify (+ 1 0) into 1
9.275 * [backup-simplify]: Simplify (+ 0 1) into 1
9.275 * [backup-simplify]: Simplify (/ 1 1) into 1
9.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.275 * [taylor]: Taking taylor expansion of x in x
9.275 * [backup-simplify]: Simplify 0 into 0
9.276 * [backup-simplify]: Simplify 1 into 1
9.276 * [backup-simplify]: Simplify (* 1 1) into 1
9.276 * [backup-simplify]: Simplify (/ 1 1) into 1
9.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.276 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.276 * [taylor]: Taking taylor expansion of y in x
9.276 * [backup-simplify]: Simplify y into y
9.276 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.276 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.276 * [taylor]: Taking taylor expansion of y in x
9.276 * [backup-simplify]: Simplify y into y
9.276 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.276 * [taylor]: Taking taylor expansion of x in x
9.276 * [backup-simplify]: Simplify 0 into 0
9.276 * [backup-simplify]: Simplify 1 into 1
9.277 * [backup-simplify]: Simplify (/ 1 1) into 1
9.277 * [backup-simplify]: Simplify (+ 1 0) into 1
9.277 * [backup-simplify]: Simplify (+ 0 1) into 1
9.278 * [backup-simplify]: Simplify (/ 1 1) into 1
9.278 * [taylor]: Taking taylor expansion of 1 in y
9.278 * [backup-simplify]: Simplify 1 into 1
9.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.279 * [backup-simplify]: Simplify (+ 0 0) into 0
9.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.279 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
9.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y))
9.280 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
9.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.280 * [taylor]: Taking taylor expansion of y in y
9.280 * [backup-simplify]: Simplify 0 into 0
9.280 * [backup-simplify]: Simplify 1 into 1
9.280 * [backup-simplify]: Simplify (/ 1 1) into 1
9.280 * [backup-simplify]: Simplify (- 1) into -1
9.280 * [backup-simplify]: Simplify -1 into -1
9.280 * [backup-simplify]: Simplify 1 into 1
9.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.284 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
9.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.285 * [backup-simplify]: Simplify (+ 0 0) into 0
9.286 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 2)))
9.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.286 * [taylor]: Taking taylor expansion of 2 in y
9.286 * [backup-simplify]: Simplify 2 into 2
9.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.286 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.286 * [taylor]: Taking taylor expansion of y in y
9.286 * [backup-simplify]: Simplify 0 into 0
9.286 * [backup-simplify]: Simplify 1 into 1
9.286 * [backup-simplify]: Simplify (* 1 1) into 1
9.286 * [backup-simplify]: Simplify (/ 1 1) into 1
9.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.287 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.287 * [backup-simplify]: Simplify 0 into 0
9.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.288 * [backup-simplify]: Simplify (- 0) into 0
9.288 * [backup-simplify]: Simplify 0 into 0
9.288 * [backup-simplify]: Simplify 0 into 0
9.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.289 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.290 * [backup-simplify]: Simplify (+ 0 0) into 0
9.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.291 * [backup-simplify]: Simplify (+ 0 0) into 0
9.292 * [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))))
9.292 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y
9.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
9.292 * [taylor]: Taking taylor expansion of 2 in y
9.292 * [backup-simplify]: Simplify 2 into 2
9.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
9.292 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.292 * [taylor]: Taking taylor expansion of y in y
9.292 * [backup-simplify]: Simplify 0 into 0
9.292 * [backup-simplify]: Simplify 1 into 1
9.292 * [backup-simplify]: Simplify (* 1 1) into 1
9.292 * [backup-simplify]: Simplify (* 1 1) into 1
9.292 * [backup-simplify]: Simplify (/ 1 1) into 1
9.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.296 * [backup-simplify]: Simplify (- 0) into 0
9.296 * [backup-simplify]: Simplify 0 into 0
9.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.298 * [backup-simplify]: Simplify 0 into 0
9.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.298 * [backup-simplify]: Simplify (- 0) into 0
9.298 * [backup-simplify]: Simplify 0 into 0
9.298 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* -1 (* (/ 1 (/ 1 y)) 1))) into (- x y)
9.299 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))))
9.299 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0
9.299 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y
9.299 * [taylor]: Taking taylor expansion of -1 in y
9.299 * [backup-simplify]: Simplify -1 into -1
9.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y
9.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.299 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.299 * [taylor]: Taking taylor expansion of x in y
9.299 * [backup-simplify]: Simplify x into x
9.299 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.299 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.299 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.299 * [taylor]: Taking taylor expansion of y in y
9.299 * [backup-simplify]: Simplify 0 into 0
9.299 * [backup-simplify]: Simplify 1 into 1
9.299 * [backup-simplify]: Simplify (* 1 1) into 1
9.300 * [backup-simplify]: Simplify (/ 1 1) into 1
9.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.300 * [taylor]: Taking taylor expansion of y in y
9.300 * [backup-simplify]: Simplify 0 into 0
9.300 * [backup-simplify]: Simplify 1 into 1
9.300 * [backup-simplify]: Simplify (/ 1 1) into 1
9.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.300 * [taylor]: Taking taylor expansion of x in y
9.300 * [backup-simplify]: Simplify x into x
9.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.300 * [backup-simplify]: Simplify (+ 0 1) into 1
9.301 * [backup-simplify]: Simplify (+ 1 0) into 1
9.301 * [backup-simplify]: Simplify (/ 1 1) into 1
9.301 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x
9.301 * [taylor]: Taking taylor expansion of -1 in x
9.301 * [backup-simplify]: Simplify -1 into -1
9.301 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.301 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.301 * [taylor]: Taking taylor expansion of x in x
9.301 * [backup-simplify]: Simplify 0 into 0
9.301 * [backup-simplify]: Simplify 1 into 1
9.301 * [backup-simplify]: Simplify (* 1 1) into 1
9.301 * [backup-simplify]: Simplify (/ 1 1) into 1
9.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.302 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.302 * [taylor]: Taking taylor expansion of y in x
9.302 * [backup-simplify]: Simplify y into y
9.302 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.302 * [taylor]: Taking taylor expansion of y in x
9.302 * [backup-simplify]: Simplify y into y
9.302 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.302 * [taylor]: Taking taylor expansion of x in x
9.302 * [backup-simplify]: Simplify 0 into 0
9.302 * [backup-simplify]: Simplify 1 into 1
9.302 * [backup-simplify]: Simplify (/ 1 1) into 1
9.302 * [backup-simplify]: Simplify (+ 1 0) into 1
9.303 * [backup-simplify]: Simplify (+ 0 1) into 1
9.303 * [backup-simplify]: Simplify (/ 1 1) into 1
9.303 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x
9.303 * [taylor]: Taking taylor expansion of -1 in x
9.303 * [backup-simplify]: Simplify -1 into -1
9.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x
9.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.303 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.303 * [taylor]: Taking taylor expansion of x in x
9.303 * [backup-simplify]: Simplify 0 into 0
9.303 * [backup-simplify]: Simplify 1 into 1
9.303 * [backup-simplify]: Simplify (* 1 1) into 1
9.304 * [backup-simplify]: Simplify (/ 1 1) into 1
9.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.304 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.304 * [taylor]: Taking taylor expansion of y in x
9.304 * [backup-simplify]: Simplify y into y
9.304 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.304 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.304 * [taylor]: Taking taylor expansion of y in x
9.304 * [backup-simplify]: Simplify y into y
9.304 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.304 * [taylor]: Taking taylor expansion of x in x
9.304 * [backup-simplify]: Simplify 0 into 0
9.304 * [backup-simplify]: Simplify 1 into 1
9.304 * [backup-simplify]: Simplify (/ 1 1) into 1
9.304 * [backup-simplify]: Simplify (+ 1 0) into 1
9.305 * [backup-simplify]: Simplify (+ 0 1) into 1
9.305 * [backup-simplify]: Simplify (/ 1 1) into 1
9.305 * [backup-simplify]: Simplify (* -1 1) into -1
9.305 * [taylor]: Taking taylor expansion of -1 in y
9.305 * [backup-simplify]: Simplify -1 into -1
9.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.306 * [backup-simplify]: Simplify (+ 0 0) into 0
9.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.307 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
9.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y))
9.308 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 y))) (* 0 1)) into (/ 1 y)
9.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.308 * [taylor]: Taking taylor expansion of y in y
9.308 * [backup-simplify]: Simplify 0 into 0
9.308 * [backup-simplify]: Simplify 1 into 1
9.308 * [backup-simplify]: Simplify (/ 1 1) into 1
9.308 * [backup-simplify]: Simplify 1 into 1
9.308 * [backup-simplify]: Simplify -1 into -1
9.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.310 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
9.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.312 * [backup-simplify]: Simplify (+ 0 0) into 0
9.313 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (* 2 (/ 1 (pow y 2)))
9.313 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 (- (/ 1 y))) (* 0 1))) into (- (* 2 (/ 1 (pow y 2))))
9.313 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
9.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.313 * [taylor]: Taking taylor expansion of 2 in y
9.313 * [backup-simplify]: Simplify 2 into 2
9.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.314 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.314 * [taylor]: Taking taylor expansion of y in y
9.314 * [backup-simplify]: Simplify 0 into 0
9.314 * [backup-simplify]: Simplify 1 into 1
9.314 * [backup-simplify]: Simplify (* 1 1) into 1
9.314 * [backup-simplify]: Simplify (/ 1 1) into 1
9.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.316 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.317 * [backup-simplify]: Simplify (- 0) into 0
9.317 * [backup-simplify]: Simplify 0 into 0
9.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.318 * [backup-simplify]: Simplify 0 into 0
9.318 * [backup-simplify]: Simplify 0 into 0
9.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.320 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.320 * [backup-simplify]: Simplify (+ 0 0) into 0
9.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.322 * [backup-simplify]: Simplify (+ 0 0) into 0
9.324 * [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))))
9.324 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 3))))) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into (* 2 (/ 1 (pow y 3)))
9.325 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
9.325 * [taylor]: Taking taylor expansion of 2 in y
9.325 * [backup-simplify]: Simplify 2 into 2
9.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
9.325 * [taylor]: Taking taylor expansion of (pow y 3) in y
9.325 * [taylor]: Taking taylor expansion of y in y
9.325 * [backup-simplify]: Simplify 0 into 0
9.325 * [backup-simplify]: Simplify 1 into 1
9.325 * [backup-simplify]: Simplify (* 1 1) into 1
9.325 * [backup-simplify]: Simplify (* 1 1) into 1
9.326 * [backup-simplify]: Simplify (/ 1 1) into 1
9.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.331 * [backup-simplify]: Simplify 0 into 0
9.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.333 * [backup-simplify]: Simplify (- 0) into 0
9.333 * [backup-simplify]: Simplify 0 into 0
9.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.333 * [backup-simplify]: Simplify 0 into 0
9.333 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* 1 (* (/ 1 (/ 1 (- y))) 1))) into (- x y)
9.333 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
9.334 * [backup-simplify]: Simplify (/ y (/ (+ (* x x) (* y y)) (+ x y))) into (/ (* y (+ x y)) (+ (pow x 2) (pow y 2)))
9.334 * [approximate]: Taking taylor expansion of (/ (* y (+ x y)) (+ (pow x 2) (pow y 2))) in (y x) around 0
9.334 * [taylor]: Taking taylor expansion of (/ (* y (+ x y)) (+ (pow x 2) (pow y 2))) in x
9.334 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x
9.334 * [taylor]: Taking taylor expansion of y in x
9.334 * [backup-simplify]: Simplify y into y
9.334 * [taylor]: Taking taylor expansion of (+ x y) in x
9.334 * [taylor]: Taking taylor expansion of x in x
9.334 * [backup-simplify]: Simplify 0 into 0
9.334 * [backup-simplify]: Simplify 1 into 1
9.334 * [taylor]: Taking taylor expansion of y in x
9.334 * [backup-simplify]: Simplify y into y
9.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.334 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.334 * [taylor]: Taking taylor expansion of x in x
9.334 * [backup-simplify]: Simplify 0 into 0
9.334 * [backup-simplify]: Simplify 1 into 1
9.334 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.334 * [taylor]: Taking taylor expansion of y in x
9.334 * [backup-simplify]: Simplify y into y
9.334 * [backup-simplify]: Simplify (+ 0 y) into y
9.334 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.334 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.334 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.334 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
9.334 * [taylor]: Taking taylor expansion of (/ (* y (+ x y)) (+ (pow x 2) (pow y 2))) in y
9.334 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y
9.334 * [taylor]: Taking taylor expansion of y in y
9.334 * [backup-simplify]: Simplify 0 into 0
9.334 * [backup-simplify]: Simplify 1 into 1
9.334 * [taylor]: Taking taylor expansion of (+ x y) in y
9.335 * [taylor]: Taking taylor expansion of x in y
9.335 * [backup-simplify]: Simplify x into x
9.335 * [taylor]: Taking taylor expansion of y in y
9.335 * [backup-simplify]: Simplify 0 into 0
9.335 * [backup-simplify]: Simplify 1 into 1
9.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.335 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.335 * [taylor]: Taking taylor expansion of x in y
9.335 * [backup-simplify]: Simplify x into x
9.335 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.335 * [taylor]: Taking taylor expansion of y in y
9.335 * [backup-simplify]: Simplify 0 into 0
9.335 * [backup-simplify]: Simplify 1 into 1
9.335 * [backup-simplify]: Simplify (+ x 0) into x
9.335 * [backup-simplify]: Simplify (* 0 x) into 0
9.335 * [backup-simplify]: Simplify (+ 0 1) into 1
9.335 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x
9.335 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.336 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.336 * [backup-simplify]: Simplify (/ x (pow x 2)) into (/ 1 x)
9.336 * [taylor]: Taking taylor expansion of (/ (* y (+ x y)) (+ (pow x 2) (pow y 2))) in y
9.336 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y
9.336 * [taylor]: Taking taylor expansion of y in y
9.336 * [backup-simplify]: Simplify 0 into 0
9.336 * [backup-simplify]: Simplify 1 into 1
9.336 * [taylor]: Taking taylor expansion of (+ x y) in y
9.336 * [taylor]: Taking taylor expansion of x in y
9.336 * [backup-simplify]: Simplify x into x
9.336 * [taylor]: Taking taylor expansion of y in y
9.336 * [backup-simplify]: Simplify 0 into 0
9.336 * [backup-simplify]: Simplify 1 into 1
9.336 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.336 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.336 * [taylor]: Taking taylor expansion of x in y
9.336 * [backup-simplify]: Simplify x into x
9.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.336 * [taylor]: Taking taylor expansion of y in y
9.336 * [backup-simplify]: Simplify 0 into 0
9.336 * [backup-simplify]: Simplify 1 into 1
9.336 * [backup-simplify]: Simplify (+ x 0) into x
9.336 * [backup-simplify]: Simplify (* 0 x) into 0
9.336 * [backup-simplify]: Simplify (+ 0 1) into 1
9.337 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x
9.337 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.337 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.337 * [backup-simplify]: Simplify (/ x (pow x 2)) into (/ 1 x)
9.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.337 * [taylor]: Taking taylor expansion of x in x
9.337 * [backup-simplify]: Simplify 0 into 0
9.337 * [backup-simplify]: Simplify 1 into 1
9.337 * [backup-simplify]: Simplify (/ 1 1) into 1
9.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.338 * [backup-simplify]: Simplify 0 into 0
9.338 * [backup-simplify]: Simplify (+ 0 0) into 0
9.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1
9.338 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.339 * [backup-simplify]: Simplify (+ 0 0) into 0
9.339 * [backup-simplify]: Simplify (- (/ 1 (pow x 2)) (+ (* (/ 1 x) (/ 0 (pow x 2))))) into (/ 1 (pow x 2))
9.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.339 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.339 * [taylor]: Taking taylor expansion of x in x
9.339 * [backup-simplify]: Simplify 0 into 0
9.339 * [backup-simplify]: Simplify 1 into 1
9.339 * [backup-simplify]: Simplify (* 1 1) into 1
9.339 * [backup-simplify]: Simplify (/ 1 1) into 1
9.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.341 * [backup-simplify]: Simplify 0 into 0
9.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.342 * [backup-simplify]: Simplify 0 into 0
9.342 * [backup-simplify]: Simplify (+ 0 0) into 0
9.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0
9.343 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
9.343 * [backup-simplify]: Simplify (* 1 1) into 1
9.343 * [backup-simplify]: Simplify (+ 0 1) into 1
9.344 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 x) (/ 1 (pow x 2))) (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into (- (/ 1 (pow x 3)))
9.344 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3))) in x
9.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
9.344 * [taylor]: Taking taylor expansion of (pow x 3) in x
9.344 * [taylor]: Taking taylor expansion of x in x
9.344 * [backup-simplify]: Simplify 0 into 0
9.344 * [backup-simplify]: Simplify 1 into 1
9.344 * [backup-simplify]: Simplify (* 1 1) into 1
9.344 * [backup-simplify]: Simplify (* 1 1) into 1
9.345 * [backup-simplify]: Simplify (/ 1 1) into 1
9.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.349 * [backup-simplify]: Simplify (- 0) into 0
9.349 * [backup-simplify]: Simplify 0 into 0
9.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.350 * [backup-simplify]: Simplify 0 into 0
9.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.351 * [backup-simplify]: Simplify 0 into 0
9.351 * [backup-simplify]: Simplify 0 into 0
9.351 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y))
9.351 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in (y x) around 0
9.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in x
9.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.351 * [taylor]: Taking taylor expansion of y in x
9.351 * [backup-simplify]: Simplify y into y
9.351 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.351 * [taylor]: Taking taylor expansion of x in x
9.351 * [backup-simplify]: Simplify 0 into 0
9.351 * [backup-simplify]: Simplify 1 into 1
9.351 * [backup-simplify]: Simplify (/ 1 1) into 1
9.352 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y) in x
9.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.352 * [taylor]: Taking taylor expansion of x in x
9.352 * [backup-simplify]: Simplify 0 into 0
9.352 * [backup-simplify]: Simplify 1 into 1
9.352 * [backup-simplify]: Simplify (* 1 1) into 1
9.352 * [backup-simplify]: Simplify (/ 1 1) into 1
9.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.352 * [taylor]: Taking taylor expansion of y in x
9.352 * [backup-simplify]: Simplify y into y
9.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.352 * [taylor]: Taking taylor expansion of y in x
9.352 * [backup-simplify]: Simplify y into y
9.353 * [backup-simplify]: Simplify (+ 0 1) into 1
9.353 * [backup-simplify]: Simplify (+ 1 0) into 1
9.353 * [backup-simplify]: Simplify (* 1 y) into y
9.353 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in y
9.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.353 * [taylor]: Taking taylor expansion of y in y
9.353 * [backup-simplify]: Simplify 0 into 0
9.353 * [backup-simplify]: Simplify 1 into 1
9.353 * [backup-simplify]: Simplify (/ 1 1) into 1
9.353 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.353 * [taylor]: Taking taylor expansion of x in y
9.353 * [backup-simplify]: Simplify x into x
9.353 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y) in y
9.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.353 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.353 * [taylor]: Taking taylor expansion of x in y
9.354 * [backup-simplify]: Simplify x into x
9.354 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.354 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.354 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.354 * [taylor]: Taking taylor expansion of y in y
9.354 * [backup-simplify]: Simplify 0 into 0
9.354 * [backup-simplify]: Simplify 1 into 1
9.354 * [backup-simplify]: Simplify (* 1 1) into 1
9.354 * [backup-simplify]: Simplify (/ 1 1) into 1
9.354 * [taylor]: Taking taylor expansion of y in y
9.354 * [backup-simplify]: Simplify 0 into 0
9.354 * [backup-simplify]: Simplify 1 into 1
9.354 * [backup-simplify]: Simplify (+ 1 0) into 1
9.355 * [backup-simplify]: Simplify (+ 0 1) into 1
9.355 * [backup-simplify]: Simplify (* 1 0) into 0
9.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.356 * [backup-simplify]: Simplify (+ 0 0) into 0
9.356 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
9.357 * [backup-simplify]: Simplify (/ 1 1) into 1
9.357 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in y
9.357 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.357 * [taylor]: Taking taylor expansion of y in y
9.357 * [backup-simplify]: Simplify 0 into 0
9.357 * [backup-simplify]: Simplify 1 into 1
9.357 * [backup-simplify]: Simplify (/ 1 1) into 1
9.357 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.357 * [taylor]: Taking taylor expansion of x in y
9.357 * [backup-simplify]: Simplify x into x
9.357 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.357 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y) in y
9.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.357 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.357 * [taylor]: Taking taylor expansion of x in y
9.357 * [backup-simplify]: Simplify x into x
9.357 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.357 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.357 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.357 * [taylor]: Taking taylor expansion of y in y
9.357 * [backup-simplify]: Simplify 0 into 0
9.357 * [backup-simplify]: Simplify 1 into 1
9.358 * [backup-simplify]: Simplify (* 1 1) into 1
9.358 * [backup-simplify]: Simplify (/ 1 1) into 1
9.358 * [taylor]: Taking taylor expansion of y in y
9.358 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify 1 into 1
9.358 * [backup-simplify]: Simplify (+ 1 0) into 1
9.358 * [backup-simplify]: Simplify (+ 0 1) into 1
9.359 * [backup-simplify]: Simplify (* 1 0) into 0
9.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.360 * [backup-simplify]: Simplify (+ 0 0) into 0
9.360 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
9.360 * [backup-simplify]: Simplify (/ 1 1) into 1
9.360 * [taylor]: Taking taylor expansion of 1 in x
9.360 * [backup-simplify]: Simplify 1 into 1
9.360 * [backup-simplify]: Simplify 0 into 0
9.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.361 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
9.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.362 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow x 2)) 0))) into 0
9.363 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x)
9.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.363 * [taylor]: Taking taylor expansion of x in x
9.363 * [backup-simplify]: Simplify 0 into 0
9.363 * [backup-simplify]: Simplify 1 into 1
9.363 * [backup-simplify]: Simplify (/ 1 1) into 1
9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.364 * [backup-simplify]: Simplify 0 into 0
9.364 * [backup-simplify]: Simplify 0 into 0
9.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.365 * [backup-simplify]: Simplify (+ 0 0) into 0
9.365 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.368 * [backup-simplify]: Simplify (+ 0 0) into 0
9.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow x 2)) 1) (* 0 0)))) into (/ 1 (pow x 2))
9.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* (/ 1 x) (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.371 * [taylor]: Taking taylor expansion of x in x
9.371 * [backup-simplify]: Simplify 0 into 0
9.371 * [backup-simplify]: Simplify 1 into 1
9.372 * [backup-simplify]: Simplify (* 1 1) into 1
9.372 * [backup-simplify]: Simplify (/ 1 1) into 1
9.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.377 * [backup-simplify]: Simplify (- 0) into 0
9.378 * [backup-simplify]: Simplify 0 into 0
9.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.378 * [backup-simplify]: Simplify 0 into 0
9.378 * [backup-simplify]: Simplify 0 into 0
9.378 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y))
9.379 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in (y x) around 0
9.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in x
9.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
9.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.379 * [taylor]: Taking taylor expansion of y in x
9.379 * [backup-simplify]: Simplify y into y
9.379 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.379 * [taylor]: Taking taylor expansion of x in x
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify 1 into 1
9.379 * [backup-simplify]: Simplify (/ 1 1) into 1
9.379 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y) in x
9.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.379 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.379 * [taylor]: Taking taylor expansion of x in x
9.379 * [backup-simplify]: Simplify 0 into 0
9.379 * [backup-simplify]: Simplify 1 into 1
9.379 * [backup-simplify]: Simplify (* 1 1) into 1
9.380 * [backup-simplify]: Simplify (/ 1 1) into 1
9.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.380 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.380 * [taylor]: Taking taylor expansion of y in x
9.380 * [backup-simplify]: Simplify y into y
9.380 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.380 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.380 * [taylor]: Taking taylor expansion of y in x
9.380 * [backup-simplify]: Simplify y into y
9.380 * [backup-simplify]: Simplify (+ 0 1) into 1
9.380 * [backup-simplify]: Simplify (+ 1 0) into 1
9.380 * [backup-simplify]: Simplify (* 1 y) into y
9.380 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in y
9.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.381 * [taylor]: Taking taylor expansion of y in y
9.381 * [backup-simplify]: Simplify 0 into 0
9.381 * [backup-simplify]: Simplify 1 into 1
9.381 * [backup-simplify]: Simplify (/ 1 1) into 1
9.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.381 * [taylor]: Taking taylor expansion of x in y
9.381 * [backup-simplify]: Simplify x into x
9.381 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.381 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y) in y
9.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.381 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.381 * [taylor]: Taking taylor expansion of x in y
9.381 * [backup-simplify]: Simplify x into x
9.381 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.381 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.381 * [taylor]: Taking taylor expansion of y in y
9.381 * [backup-simplify]: Simplify 0 into 0
9.381 * [backup-simplify]: Simplify 1 into 1
9.381 * [backup-simplify]: Simplify (* 1 1) into 1
9.382 * [backup-simplify]: Simplify (/ 1 1) into 1
9.382 * [taylor]: Taking taylor expansion of y in y
9.382 * [backup-simplify]: Simplify 0 into 0
9.382 * [backup-simplify]: Simplify 1 into 1
9.382 * [backup-simplify]: Simplify (+ 1 0) into 1
9.382 * [backup-simplify]: Simplify (+ 0 1) into 1
9.383 * [backup-simplify]: Simplify (* 1 0) into 0
9.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.384 * [backup-simplify]: Simplify (+ 0 0) into 0
9.384 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
9.384 * [backup-simplify]: Simplify (/ 1 1) into 1
9.384 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y)) in y
9.384 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
9.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.384 * [taylor]: Taking taylor expansion of y in y
9.384 * [backup-simplify]: Simplify 0 into 0
9.384 * [backup-simplify]: Simplify 1 into 1
9.384 * [backup-simplify]: Simplify (/ 1 1) into 1
9.384 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.384 * [taylor]: Taking taylor expansion of x in y
9.385 * [backup-simplify]: Simplify x into x
9.385 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.385 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) y) in y
9.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.385 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.385 * [taylor]: Taking taylor expansion of x in y
9.385 * [backup-simplify]: Simplify x into x
9.385 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.385 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.385 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.385 * [taylor]: Taking taylor expansion of y in y
9.385 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify 1 into 1
9.385 * [backup-simplify]: Simplify (* 1 1) into 1
9.385 * [backup-simplify]: Simplify (/ 1 1) into 1
9.385 * [taylor]: Taking taylor expansion of y in y
9.385 * [backup-simplify]: Simplify 0 into 0
9.385 * [backup-simplify]: Simplify 1 into 1
9.389 * [backup-simplify]: Simplify (+ 1 0) into 1
9.389 * [backup-simplify]: Simplify (+ 0 1) into 1
9.389 * [backup-simplify]: Simplify (* 1 0) into 0
9.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.390 * [backup-simplify]: Simplify (+ 0 0) into 0
9.391 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
9.391 * [backup-simplify]: Simplify (/ 1 1) into 1
9.391 * [taylor]: Taking taylor expansion of 1 in x
9.391 * [backup-simplify]: Simplify 1 into 1
9.391 * [backup-simplify]: Simplify 0 into 0
9.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.392 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x)
9.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.393 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
9.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow x 2)) 0))) into 0
9.394 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x)
9.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.394 * [taylor]: Taking taylor expansion of x in x
9.394 * [backup-simplify]: Simplify 0 into 0
9.394 * [backup-simplify]: Simplify 1 into 1
9.394 * [backup-simplify]: Simplify (/ 1 1) into 1
9.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.395 * [backup-simplify]: Simplify 0 into 0
9.395 * [backup-simplify]: Simplify 0 into 0
9.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
9.396 * [backup-simplify]: Simplify (+ 0 0) into 0
9.396 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
9.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.398 * [backup-simplify]: Simplify (+ 0 0) into 0
9.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow x 2)) 1) (* 0 0)))) into (/ 1 (pow x 2))
9.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* (/ 1 x) (/ 0 1)))) into (- (/ 1 (pow x 2)))
9.399 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
9.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.399 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.399 * [taylor]: Taking taylor expansion of x in x
9.399 * [backup-simplify]: Simplify 0 into 0
9.399 * [backup-simplify]: Simplify 1 into 1
9.399 * [backup-simplify]: Simplify (* 1 1) into 1
9.400 * [backup-simplify]: Simplify (/ 1 1) into 1
9.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.403 * [backup-simplify]: Simplify (- 0) into 0
9.403 * [backup-simplify]: Simplify 0 into 0
9.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.403 * [backup-simplify]: Simplify 0 into 0
9.403 * [backup-simplify]: Simplify 0 into 0
9.403 * [backup-simplify]: Simplify 0 into 0
9.403 * * * * [progress]: [ 4 / 4 ] generating series at (2)
9.404 * [backup-simplify]: Simplify (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y)))) into (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2))))
9.404 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in (x y) around 0
9.404 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in y
9.404 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in y
9.404 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.404 * [taylor]: Taking taylor expansion of x in y
9.404 * [backup-simplify]: Simplify x into x
9.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.404 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.404 * [taylor]: Taking taylor expansion of x in y
9.404 * [backup-simplify]: Simplify x into x
9.404 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.404 * [taylor]: Taking taylor expansion of y in y
9.404 * [backup-simplify]: Simplify 0 into 0
9.404 * [backup-simplify]: Simplify 1 into 1
9.404 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.404 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.404 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.404 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
9.405 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in y
9.405 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.405 * [taylor]: Taking taylor expansion of y in y
9.405 * [backup-simplify]: Simplify 0 into 0
9.405 * [backup-simplify]: Simplify 1 into 1
9.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
9.405 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.405 * [taylor]: Taking taylor expansion of x in y
9.405 * [backup-simplify]: Simplify x into x
9.405 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.405 * [taylor]: Taking taylor expansion of y in y
9.405 * [backup-simplify]: Simplify 0 into 0
9.405 * [backup-simplify]: Simplify 1 into 1
9.405 * [backup-simplify]: Simplify (* 1 1) into 1
9.405 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.405 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.405 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.405 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in x
9.405 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in x
9.405 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.405 * [taylor]: Taking taylor expansion of x in x
9.405 * [backup-simplify]: Simplify 0 into 0
9.405 * [backup-simplify]: Simplify 1 into 1
9.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.405 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.405 * [taylor]: Taking taylor expansion of x in x
9.405 * [backup-simplify]: Simplify 0 into 0
9.405 * [backup-simplify]: Simplify 1 into 1
9.405 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.405 * [taylor]: Taking taylor expansion of y in x
9.406 * [backup-simplify]: Simplify y into y
9.406 * [backup-simplify]: Simplify (* 1 1) into 1
9.406 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.406 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.406 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.406 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in x
9.406 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.406 * [taylor]: Taking taylor expansion of y in x
9.406 * [backup-simplify]: Simplify y into y
9.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.406 * [taylor]: Taking taylor expansion of x in x
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify 1 into 1
9.406 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.406 * [taylor]: Taking taylor expansion of y in x
9.406 * [backup-simplify]: Simplify y into y
9.406 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.406 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.406 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.406 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
9.406 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (pow y 2))) (/ (pow y 2) (+ (pow x 2) (pow y 2)))) in x
9.407 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (pow y 2))) in x
9.407 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.407 * [taylor]: Taking taylor expansion of x in x
9.407 * [backup-simplify]: Simplify 0 into 0
9.407 * [backup-simplify]: Simplify 1 into 1
9.407 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.407 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.407 * [taylor]: Taking taylor expansion of x in x
9.407 * [backup-simplify]: Simplify 0 into 0
9.407 * [backup-simplify]: Simplify 1 into 1
9.407 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.407 * [taylor]: Taking taylor expansion of y in x
9.407 * [backup-simplify]: Simplify y into y
9.407 * [backup-simplify]: Simplify (* 1 1) into 1
9.407 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.407 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.407 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.407 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (pow y 2))) in x
9.407 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.407 * [taylor]: Taking taylor expansion of y in x
9.407 * [backup-simplify]: Simplify y into y
9.407 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
9.407 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.407 * [taylor]: Taking taylor expansion of x in x
9.407 * [backup-simplify]: Simplify 0 into 0
9.407 * [backup-simplify]: Simplify 1 into 1
9.407 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.407 * [taylor]: Taking taylor expansion of y in x
9.407 * [backup-simplify]: Simplify y into y
9.407 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.407 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.408 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.408 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1
9.408 * [backup-simplify]: Simplify (- 1) into -1
9.408 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.408 * [taylor]: Taking taylor expansion of -1 in y
9.408 * [backup-simplify]: Simplify -1 into -1
9.408 * [backup-simplify]: Simplify -1 into -1
9.408 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.408 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.409 * [backup-simplify]: Simplify (+ 0 0) into 0
9.409 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0
9.409 * [backup-simplify]: Simplify (- 0) into 0
9.409 * [backup-simplify]: Simplify (+ 0 0) into 0
9.409 * [taylor]: Taking taylor expansion of 0 in y
9.409 * [backup-simplify]: Simplify 0 into 0
9.409 * [backup-simplify]: Simplify 0 into 0
9.409 * [backup-simplify]: Simplify 0 into 0
9.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.410 * [backup-simplify]: Simplify (* 1 1) into 1
9.411 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.411 * [backup-simplify]: Simplify (+ 1 0) into 1
9.412 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2)))
9.412 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2))
9.412 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2)))
9.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.412 * [taylor]: Taking taylor expansion of 2 in y
9.412 * [backup-simplify]: Simplify 2 into 2
9.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.412 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.412 * [taylor]: Taking taylor expansion of y in y
9.412 * [backup-simplify]: Simplify 0 into 0
9.412 * [backup-simplify]: Simplify 1 into 1
9.413 * [backup-simplify]: Simplify (* 1 1) into 1
9.413 * [backup-simplify]: Simplify (/ 1 1) into 1
9.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.417 * [backup-simplify]: Simplify 0 into 0
9.417 * [backup-simplify]: Simplify 0 into 0
9.417 * [backup-simplify]: Simplify 0 into 0
9.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.418 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.418 * [backup-simplify]: Simplify (+ 0 0) into 0
9.419 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.420 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.421 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.421 * [backup-simplify]: Simplify (+ 0 0) into 0
9.422 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
9.423 * [backup-simplify]: Simplify (- 0) into 0
9.423 * [backup-simplify]: Simplify (+ 0 0) into 0
9.423 * [taylor]: Taking taylor expansion of 0 in y
9.423 * [backup-simplify]: Simplify 0 into 0
9.423 * [backup-simplify]: Simplify 0 into 0
9.423 * [backup-simplify]: Simplify -1 into -1
9.424 * [backup-simplify]: Simplify (- (/ (/ 1 x) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y)))) (/ (/ 1 y) (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (+ (/ 1 x) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))))
9.424 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in (x y) around 0
9.424 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in y
9.424 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
9.424 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.424 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.424 * [taylor]: Taking taylor expansion of x in y
9.424 * [backup-simplify]: Simplify x into x
9.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.425 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.425 * [taylor]: Taking taylor expansion of x in y
9.425 * [backup-simplify]: Simplify x into x
9.425 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.425 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.425 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.425 * [taylor]: Taking taylor expansion of y in y
9.425 * [backup-simplify]: Simplify 0 into 0
9.425 * [backup-simplify]: Simplify 1 into 1
9.425 * [backup-simplify]: Simplify (* 1 1) into 1
9.426 * [backup-simplify]: Simplify (/ 1 1) into 1
9.426 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.426 * [backup-simplify]: Simplify (+ 0 1) into 1
9.427 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.427 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.427 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
9.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
9.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.427 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.427 * [taylor]: Taking taylor expansion of x in y
9.427 * [backup-simplify]: Simplify x into x
9.427 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.427 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.427 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.427 * [taylor]: Taking taylor expansion of y in y
9.427 * [backup-simplify]: Simplify 0 into 0
9.427 * [backup-simplify]: Simplify 1 into 1
9.428 * [backup-simplify]: Simplify (* 1 1) into 1
9.428 * [backup-simplify]: Simplify (/ 1 1) into 1
9.428 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.428 * [taylor]: Taking taylor expansion of y in y
9.428 * [backup-simplify]: Simplify 0 into 0
9.428 * [backup-simplify]: Simplify 1 into 1
9.429 * [backup-simplify]: Simplify (+ 0 1) into 1
9.429 * [backup-simplify]: Simplify (* 1 1) into 1
9.429 * [backup-simplify]: Simplify (* 1 1) into 1
9.430 * [backup-simplify]: Simplify (/ 1 1) into 1
9.430 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
9.430 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
9.430 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.430 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.430 * [taylor]: Taking taylor expansion of x in x
9.430 * [backup-simplify]: Simplify 0 into 0
9.430 * [backup-simplify]: Simplify 1 into 1
9.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.430 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.430 * [taylor]: Taking taylor expansion of x in x
9.430 * [backup-simplify]: Simplify 0 into 0
9.430 * [backup-simplify]: Simplify 1 into 1
9.430 * [backup-simplify]: Simplify (* 1 1) into 1
9.431 * [backup-simplify]: Simplify (/ 1 1) into 1
9.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.431 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.431 * [taylor]: Taking taylor expansion of y in x
9.431 * [backup-simplify]: Simplify y into y
9.431 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.431 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.432 * [backup-simplify]: Simplify (* 1 1) into 1
9.432 * [backup-simplify]: Simplify (+ 1 0) into 1
9.432 * [backup-simplify]: Simplify (* 1 1) into 1
9.433 * [backup-simplify]: Simplify (/ 1 1) into 1
9.433 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
9.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
9.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.433 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.433 * [taylor]: Taking taylor expansion of x in x
9.433 * [backup-simplify]: Simplify 0 into 0
9.433 * [backup-simplify]: Simplify 1 into 1
9.433 * [backup-simplify]: Simplify (* 1 1) into 1
9.434 * [backup-simplify]: Simplify (/ 1 1) into 1
9.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.434 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.434 * [taylor]: Taking taylor expansion of y in x
9.434 * [backup-simplify]: Simplify y into y
9.434 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.434 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.434 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.434 * [taylor]: Taking taylor expansion of y in x
9.434 * [backup-simplify]: Simplify y into y
9.435 * [backup-simplify]: Simplify (+ 1 0) into 1
9.435 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.435 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.435 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.435 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
9.435 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
9.435 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.435 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.435 * [taylor]: Taking taylor expansion of x in x
9.435 * [backup-simplify]: Simplify 0 into 0
9.435 * [backup-simplify]: Simplify 1 into 1
9.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.435 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.435 * [taylor]: Taking taylor expansion of x in x
9.435 * [backup-simplify]: Simplify 0 into 0
9.435 * [backup-simplify]: Simplify 1 into 1
9.436 * [backup-simplify]: Simplify (* 1 1) into 1
9.436 * [backup-simplify]: Simplify (/ 1 1) into 1
9.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.436 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.436 * [taylor]: Taking taylor expansion of y in x
9.436 * [backup-simplify]: Simplify y into y
9.436 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.437 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.437 * [backup-simplify]: Simplify (* 1 1) into 1
9.437 * [backup-simplify]: Simplify (+ 1 0) into 1
9.438 * [backup-simplify]: Simplify (* 1 1) into 1
9.438 * [backup-simplify]: Simplify (/ 1 1) into 1
9.438 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
9.438 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
9.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.438 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.438 * [taylor]: Taking taylor expansion of x in x
9.438 * [backup-simplify]: Simplify 0 into 0
9.438 * [backup-simplify]: Simplify 1 into 1
9.438 * [backup-simplify]: Simplify (* 1 1) into 1
9.438 * [backup-simplify]: Simplify (/ 1 1) into 1
9.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.439 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.439 * [taylor]: Taking taylor expansion of y in x
9.439 * [backup-simplify]: Simplify y into y
9.439 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.439 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.439 * [taylor]: Taking taylor expansion of y in x
9.439 * [backup-simplify]: Simplify y into y
9.439 * [backup-simplify]: Simplify (+ 1 0) into 1
9.439 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.439 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.440 * [backup-simplify]: Simplify (+ 1 0) into 1
9.440 * [taylor]: Taking taylor expansion of 1 in y
9.440 * [backup-simplify]: Simplify 1 into 1
9.440 * [backup-simplify]: Simplify 1 into 1
9.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.441 * [backup-simplify]: Simplify (+ 0 0) into 0
9.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.442 * [backup-simplify]: Simplify (+ 0 0) into 0
9.442 * [taylor]: Taking taylor expansion of 0 in y
9.442 * [backup-simplify]: Simplify 0 into 0
9.442 * [backup-simplify]: Simplify 0 into 0
9.442 * [backup-simplify]: Simplify 0 into 0
9.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.443 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.444 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
9.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
9.445 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
9.445 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
9.445 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
9.445 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.445 * [taylor]: Taking taylor expansion of 2 in y
9.445 * [backup-simplify]: Simplify 2 into 2
9.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.445 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.445 * [taylor]: Taking taylor expansion of y in y
9.445 * [backup-simplify]: Simplify 0 into 0
9.445 * [backup-simplify]: Simplify 1 into 1
9.446 * [backup-simplify]: Simplify (* 1 1) into 1
9.446 * [backup-simplify]: Simplify (/ 1 1) into 1
9.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.449 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.449 * [backup-simplify]: Simplify (- 0) into 0
9.449 * [backup-simplify]: Simplify 0 into 0
9.449 * [backup-simplify]: Simplify 0 into 0
9.449 * [backup-simplify]: Simplify 0 into 0
9.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.450 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.451 * [backup-simplify]: Simplify (+ 0 0) into 0
9.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
9.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
9.453 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.454 * [backup-simplify]: Simplify (+ 0 0) into 0
9.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.455 * [backup-simplify]: Simplify (- 0) into 0
9.455 * [backup-simplify]: Simplify (+ 0 0) into 0
9.455 * [taylor]: Taking taylor expansion of 0 in y
9.455 * [backup-simplify]: Simplify 0 into 0
9.455 * [backup-simplify]: Simplify 0 into 0
9.455 * [backup-simplify]: Simplify 1 into 1
9.456 * [backup-simplify]: Simplify (- (/ (/ 1 (- x)) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y))))) (/ (/ 1 (- y)) (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))))
9.456 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in (x y) around 0
9.456 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in y
9.456 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
9.456 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
9.456 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.456 * [taylor]: Taking taylor expansion of x in y
9.456 * [backup-simplify]: Simplify x into x
9.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.456 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.456 * [taylor]: Taking taylor expansion of x in y
9.456 * [backup-simplify]: Simplify x into x
9.456 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.456 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.456 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.456 * [taylor]: Taking taylor expansion of y in y
9.456 * [backup-simplify]: Simplify 0 into 0
9.456 * [backup-simplify]: Simplify 1 into 1
9.456 * [backup-simplify]: Simplify (* 1 1) into 1
9.456 * [backup-simplify]: Simplify (/ 1 1) into 1
9.457 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.457 * [backup-simplify]: Simplify (+ 0 1) into 1
9.457 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
9.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.457 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in y
9.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in y
9.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
9.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
9.457 * [taylor]: Taking taylor expansion of (pow x 2) in y
9.457 * [taylor]: Taking taylor expansion of x in y
9.457 * [backup-simplify]: Simplify x into x
9.457 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
9.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.457 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.457 * [taylor]: Taking taylor expansion of y in y
9.457 * [backup-simplify]: Simplify 0 into 0
9.457 * [backup-simplify]: Simplify 1 into 1
9.458 * [backup-simplify]: Simplify (* 1 1) into 1
9.458 * [backup-simplify]: Simplify (/ 1 1) into 1
9.458 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.458 * [taylor]: Taking taylor expansion of y in y
9.458 * [backup-simplify]: Simplify 0 into 0
9.458 * [backup-simplify]: Simplify 1 into 1
9.458 * [backup-simplify]: Simplify (+ 0 1) into 1
9.458 * [backup-simplify]: Simplify (* 1 1) into 1
9.459 * [backup-simplify]: Simplify (* 1 1) into 1
9.459 * [backup-simplify]: Simplify (/ 1 1) into 1
9.459 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
9.459 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
9.459 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.459 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.459 * [taylor]: Taking taylor expansion of x in x
9.459 * [backup-simplify]: Simplify 0 into 0
9.459 * [backup-simplify]: Simplify 1 into 1
9.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.459 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.459 * [taylor]: Taking taylor expansion of x in x
9.459 * [backup-simplify]: Simplify 0 into 0
9.459 * [backup-simplify]: Simplify 1 into 1
9.459 * [backup-simplify]: Simplify (* 1 1) into 1
9.459 * [backup-simplify]: Simplify (/ 1 1) into 1
9.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.460 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.460 * [taylor]: Taking taylor expansion of y in x
9.460 * [backup-simplify]: Simplify y into y
9.460 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.460 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.460 * [backup-simplify]: Simplify (* 1 1) into 1
9.460 * [backup-simplify]: Simplify (+ 1 0) into 1
9.460 * [backup-simplify]: Simplify (* 1 1) into 1
9.461 * [backup-simplify]: Simplify (/ 1 1) into 1
9.461 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
9.461 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
9.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.461 * [taylor]: Taking taylor expansion of x in x
9.461 * [backup-simplify]: Simplify 0 into 0
9.461 * [backup-simplify]: Simplify 1 into 1
9.461 * [backup-simplify]: Simplify (* 1 1) into 1
9.461 * [backup-simplify]: Simplify (/ 1 1) into 1
9.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.461 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.461 * [taylor]: Taking taylor expansion of y in x
9.461 * [backup-simplify]: Simplify y into y
9.461 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.461 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.462 * [taylor]: Taking taylor expansion of y in x
9.462 * [backup-simplify]: Simplify y into y
9.462 * [backup-simplify]: Simplify (+ 1 0) into 1
9.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.462 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.462 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.462 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)))) in x
9.462 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
9.462 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.462 * [taylor]: Taking taylor expansion of x in x
9.462 * [backup-simplify]: Simplify 0 into 0
9.462 * [backup-simplify]: Simplify 1 into 1
9.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.462 * [taylor]: Taking taylor expansion of x in x
9.462 * [backup-simplify]: Simplify 0 into 0
9.462 * [backup-simplify]: Simplify 1 into 1
9.463 * [backup-simplify]: Simplify (* 1 1) into 1
9.463 * [backup-simplify]: Simplify (/ 1 1) into 1
9.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.463 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.463 * [taylor]: Taking taylor expansion of y in x
9.463 * [backup-simplify]: Simplify y into y
9.463 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.463 * [backup-simplify]: Simplify (* 1 1) into 1
9.463 * [backup-simplify]: Simplify (+ 1 0) into 1
9.464 * [backup-simplify]: Simplify (* 1 1) into 1
9.464 * [backup-simplify]: Simplify (/ 1 1) into 1
9.464 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2))) in x
9.464 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow y 2)) in x
9.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.464 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.464 * [taylor]: Taking taylor expansion of x in x
9.464 * [backup-simplify]: Simplify 0 into 0
9.464 * [backup-simplify]: Simplify 1 into 1
9.464 * [backup-simplify]: Simplify (* 1 1) into 1
9.464 * [backup-simplify]: Simplify (/ 1 1) into 1
9.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.465 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.465 * [taylor]: Taking taylor expansion of y in x
9.465 * [backup-simplify]: Simplify y into y
9.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.465 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.465 * [taylor]: Taking taylor expansion of y in x
9.465 * [backup-simplify]: Simplify y into y
9.465 * [backup-simplify]: Simplify (+ 1 0) into 1
9.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.465 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.466 * [backup-simplify]: Simplify (+ 1 0) into 1
9.466 * [taylor]: Taking taylor expansion of 1 in y
9.466 * [backup-simplify]: Simplify 1 into 1
9.466 * [backup-simplify]: Simplify 1 into 1
9.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.467 * [backup-simplify]: Simplify (+ 0 0) into 0
9.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.470 * [backup-simplify]: Simplify (+ 0 0) into 0
9.470 * [taylor]: Taking taylor expansion of 0 in y
9.470 * [backup-simplify]: Simplify 0 into 0
9.470 * [backup-simplify]: Simplify 0 into 0
9.470 * [backup-simplify]: Simplify 0 into 0
9.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.472 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.474 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2))
9.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
9.475 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2)))
9.475 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2))))
9.475 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
9.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
9.475 * [taylor]: Taking taylor expansion of 2 in y
9.475 * [backup-simplify]: Simplify 2 into 2
9.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.475 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.475 * [taylor]: Taking taylor expansion of y in y
9.475 * [backup-simplify]: Simplify 0 into 0
9.475 * [backup-simplify]: Simplify 1 into 1
9.476 * [backup-simplify]: Simplify (* 1 1) into 1
9.476 * [backup-simplify]: Simplify (/ 1 1) into 1
9.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.481 * [backup-simplify]: Simplify (- 0) into 0
9.481 * [backup-simplify]: Simplify 0 into 0
9.481 * [backup-simplify]: Simplify 0 into 0
9.481 * [backup-simplify]: Simplify 0 into 0
9.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.483 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.484 * [backup-simplify]: Simplify (+ 0 0) into 0
9.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
9.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
9.487 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.489 * [backup-simplify]: Simplify (+ 0 0) into 0
9.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.490 * [backup-simplify]: Simplify (- 0) into 0
9.491 * [backup-simplify]: Simplify (+ 0 0) into 0
9.491 * [taylor]: Taking taylor expansion of 0 in y
9.491 * [backup-simplify]: Simplify 0 into 0
9.491 * [backup-simplify]: Simplify 0 into 0
9.491 * [backup-simplify]: Simplify 1 into 1
9.491 * * * [progress]: simplifying candidates
9.497 * [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)))
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  (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y))))
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  (- x y)
  (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y))))
  (- (/ y (/ (+ (* x x) (* y y)) (+ x y))))
  (- y x)
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  (- x y)
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  0
  0
  0
  -1
  1
  1
9.506 * * [simplify]: Extracting # 0 : cost  0
9.506 * * [simplify]: Extracting # 1 : cost  0
9.506 * * [simplify]: Extracting # 2 : cost  0
9.507 * * [simplify]: Extracting # 3 : cost  0
9.510 * * [simplify]: Extracting # 4 : cost  0
9.511 * * [simplify]: Extracting # 5 : cost  0
9.511 * * [simplify]: Extracting # 6 : cost  0
9.511 * * [simplify]: iteration  0 :  267  enodes  (cost  5448 )
9.584 * * [simplify]: Extracting # 0 : cost  0
9.586 * * [simplify]: Extracting # 1 : cost  0
9.587 * * [simplify]: Extracting # 2 : cost  0
9.589 * * [simplify]: Extracting # 3 : cost  0
9.590 * * [simplify]: Extracting # 4 : cost  0
9.596 * * [simplify]: iteration  1 :  618  enodes  (cost  5246 )
9.864 * * [simplify]: Extracting # 0 : cost  0
9.869 * * [simplify]: Extracting # 1 : cost  0
9.875 * * [simplify]: Extracting # 2 : cost  0
9.888 * * [simplify]: Extracting # 3 : cost  0
9.893 * * [simplify]: Extracting # 4 : cost  0
9.898 * * [simplify]: iteration  2 :  2071  enodes  (cost  4876 )
10.714 * * [simplify]: Extracting # 0 : cost  0
10.735 * * [simplify]: Extracting # 1 : cost  0
10.747 * * [simplify]: Extracting # 2 : cost  0
10.758 * * [simplify]: Extracting # 3 : cost  0
10.763 * * [simplify]: Extracting # 4 : cost  0
10.769 * * [simplify]: Extracting # 5 : cost  0
10.775 * * [simplify]: iteration done:  5000  enodes  (cost  4860 )
10.777 * [simplify]: Simplified to:
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  (- (/ x (sqrt (/ (+ (* x x) (* y y)) (+ x y)))) (/ y (sqrt (/ (+ (* x x) (* y y)) (+ x y)))))
  (* (cbrt (+ x y)) (- (/ x (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))))
  (* (sqrt (+ x y)) (- (/ x (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (cbrt (+ (* x x) (* y y)))) (/ y (cbrt (+ (* x x) (* y y))))))
  (* (cbrt (+ x y)) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (sqrt (+ x y)) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (+ x y) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))))
  (* (cbrt (+ x y)) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (* (sqrt (+ x y)) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (* (+ x y) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (* (+ x y) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (* (+ x y) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (* (+ x y) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (* (+ x y) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (* (+ x y) (- x y))
  (- (/ x (+ (* y (- y x)) (* x x))) (/ y (+ (* y (- y x)) (* x x))))
  (- (/ x (- x y)) (/ y (- x y)))
  (* (+ x y) (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y)))))
  (- x y)
  (- (/ x (+ (* x x) (* y y))) (/ y (+ (* x x) (* y y))))
  (- (/ y (/ (+ (* x x) (* y y)) (+ x y))))
  (- y x)
  (- x y)
  (- x y)
  (- y x)
  (- x y)
  (- x y)
  0
  0
  0
  -1
  1
  1
10.779 * * * [progress]: adding candidates to table
11.579 * * [progress]: iteration 4 / 4
11.579 * * * [progress]: picking best candidate
11.581 * * * * [pick]: Picked  #<alt (λ (x y) -1)>
11.582 * * * [progress]: localizing error
11.582 * * * [progress]: generating rewritten candidates
11.582 * * * [progress]: generating series expansions
11.582 * * * [progress]: simplifying candidates
11.582 * [simplify]: Simplifying:
  
11.582 * * [simplify]: Extracting # 0 : cost  0
11.582 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
11.582 * * [simplify]: Extracting # 0 : cost  0
11.582 * * [simplify]: iteration done:  0  enodes  (cost  0 )
11.582 * [simplify]: Simplified to:
  
11.582 * * * [progress]: adding candidates to table
11.582 * [progress]: [Phase 3 of 3] Extracting.
11.583 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y)))))> #<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))> #<alt (λ (x y) 1)>)
11.583 * * * [regime-changes]: Trying 2 branch expressions: (y x)
11.583 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y)))))> #<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))> #<alt (λ (x y) 1)>)
11.626 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y)))))> #<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))> #<alt (λ (x y) 1)>)
11.666 * * * [regime]: Found split indices: #<option (#s(si 1 84) #s(si 2 118) #s(si 3 195) #s(si 1 215) #s(si 2 255))>
11.668 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y)))))> #<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))> #<alt (λ (x y) 1)>)
11.808 * [regimes]: Found splitpoints: (#s(sp 1 y -6208632077.041414) #s(sp 2 y -4.057021676631311e-160) #s(sp 3 y 2.835103494848979e-200) #s(sp 1 y 3.401055982211938e-168) #s(sp 2 y +nan.0)) , with alts (#<alt (λ (x y) (- (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y)))))> #<alt (λ (x y) -1)> #<alt (λ (x y) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))> #<alt (λ (x y) 1)>)
11.809 * [simplify]: Simplifying:
  (if (<= y -6208632077.041414) -1 (if (<= y -4.057021676631311e-160) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) (if (<= y 2.835103494848979e-200) 1 (if (<= y 3.401055982211938e-168) -1 (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))))))
11.809 * * [simplify]: Extracting # 0 : cost  0
11.809 * * [simplify]: Extracting # 1 : cost  0
11.809 * * [simplify]: Extracting # 2 : cost  0
11.809 * * [simplify]: Extracting # 3 : cost  0
11.809 * * [simplify]: Extracting # 4 : cost  0
11.809 * * [simplify]: Extracting # 5 : cost  0
11.809 * * [simplify]: Extracting # 6 : cost  0
11.809 * * [simplify]: Extracting # 7 : cost  0
11.809 * * [simplify]: Extracting # 8 : cost  0
11.809 * * [simplify]: Extracting # 9 : cost  0
11.809 * * [simplify]: iteration  0 :  23  enodes  (cost  49 )
11.811 * * [simplify]: Extracting # 0 : cost  0
11.811 * * [simplify]: iteration  1 :  27  enodes  (cost  49 )
11.812 * * [simplify]: Extracting # 0 : cost  0
11.812 * * [simplify]: iteration done:  27  enodes  (cost  49 )
11.812 * [simplify]: Simplified to:
  (if (<= y -6208632077.041414) -1 (if (<= y -4.057021676631311e-160) (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))) (if (<= y 2.835103494848979e-200) 1 (if (<= y 3.401055982211938e-168) -1 (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))))))
12.994 * [regime-testing]: Baseline error score: 20.21210713140908
12.995 * [regime-testing]: Oracle error score: 0.49759677242378453
12.997 * [regime-testing]: End program error score: 5.690655102486966
13.401 * [regime-testing]: Target error score: 0.07819368099563767