12.533 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.024 * * * [progress]: [2/2] Setting up program.
0.027 * [progress]: [Phase 2 of 3] Improving.
0.027 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.027 * * [simplify]: iteration 0: 9 enodes
0.029 * * [simplify]: iteration 1: 22 enodes
0.032 * * [simplify]: iteration 2: 48 enodes
0.039 * * [simplify]: iteration 3: 103 enodes
0.063 * * [simplify]: iteration 4: 208 enodes
0.100 * * [simplify]: iteration 5: 403 enodes
0.236 * * [simplify]: iteration 6: 840 enodes
0.676 * * [simplify]: iteration 7: 3699 enodes
2.358 * * [simplify]: iteration complete: 5000 enodes
2.358 * * [simplify]: Extracting #0: cost 1 inf + 0
2.359 * * [simplify]: Extracting #1: cost 239 inf + 0
2.361 * * [simplify]: Extracting #2: cost 844 inf + 1
2.365 * * [simplify]: Extracting #3: cost 1424 inf + 34
2.370 * * [simplify]: Extracting #4: cost 754 inf + 2779
2.375 * * [simplify]: Extracting #5: cost 101 inf + 11189
2.380 * * [simplify]: Extracting #6: cost 1 inf + 13402
2.388 * * [simplify]: Extracting #7: cost 0 inf + 13438
2.395 * [simplify]: Simplified to:
  (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x)))
2.402 * * [progress]: iteration 1 / 4
2.402 * * * [progress]: picking best candidate
2.412 * * * * [pick]: Picked  #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))>
2.412 * * * [progress]: localizing error
2.434 * * * [progress]: generating rewritten candidates
2.435 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.461 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
2.475 * * * [progress]: generating series expansions
2.476 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.476 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2)))
2.476 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (x y) around 0
2.476 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
2.476 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
2.476 * [taylor]: Taking taylor expansion of (+ x y) in y
2.476 * [taylor]: Taking taylor expansion of x in y
2.476 * [backup-simplify]: Simplify x into x
2.476 * [taylor]: Taking taylor expansion of y in y
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [taylor]: Taking taylor expansion of (- x y) in y
2.476 * [taylor]: Taking taylor expansion of x in y
2.476 * [backup-simplify]: Simplify x into x
2.476 * [taylor]: Taking taylor expansion of y in y
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.476 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.476 * [taylor]: Taking taylor expansion of y in y
2.476 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.476 * [taylor]: Taking taylor expansion of x in y
2.477 * [backup-simplify]: Simplify x into x
2.477 * [backup-simplify]: Simplify (+ x 0) into x
2.477 * [backup-simplify]: Simplify (- 0) into 0
2.477 * [backup-simplify]: Simplify (+ x 0) into x
2.477 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.478 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.478 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.478 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
2.478 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
2.478 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
2.478 * [taylor]: Taking taylor expansion of (+ x y) in x
2.478 * [taylor]: Taking taylor expansion of x in x
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [taylor]: Taking taylor expansion of y in x
2.478 * [backup-simplify]: Simplify y into y
2.478 * [taylor]: Taking taylor expansion of (- x y) in x
2.478 * [taylor]: Taking taylor expansion of x in x
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [taylor]: Taking taylor expansion of y in x
2.478 * [backup-simplify]: Simplify y into y
2.478 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.478 * [taylor]: Taking taylor expansion of y in x
2.478 * [backup-simplify]: Simplify y into y
2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.478 * [taylor]: Taking taylor expansion of x in x
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.478 * [backup-simplify]: Simplify (+ 0 y) into y
2.479 * [backup-simplify]: Simplify (- y) into (- y)
2.479 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
2.479 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
2.479 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.479 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.479 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
2.479 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
2.479 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
2.479 * [taylor]: Taking taylor expansion of (+ x y) in x
2.479 * [taylor]: Taking taylor expansion of x in x
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [taylor]: Taking taylor expansion of y in x
2.479 * [backup-simplify]: Simplify y into y
2.479 * [taylor]: Taking taylor expansion of (- x y) in x
2.479 * [taylor]: Taking taylor expansion of x in x
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [taylor]: Taking taylor expansion of y in x
2.479 * [backup-simplify]: Simplify y into y
2.479 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.479 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.479 * [taylor]: Taking taylor expansion of y in x
2.480 * [backup-simplify]: Simplify y into y
2.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.480 * [taylor]: Taking taylor expansion of x in x
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.480 * [backup-simplify]: Simplify (+ 0 y) into y
2.480 * [backup-simplify]: Simplify (- y) into (- y)
2.480 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
2.480 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
2.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.480 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.480 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
2.480 * [taylor]: Taking taylor expansion of -1 in y
2.480 * [backup-simplify]: Simplify -1 into -1
2.480 * [backup-simplify]: Simplify -1 into -1
2.481 * [backup-simplify]: Simplify (- 0) into 0
2.481 * [backup-simplify]: Simplify (+ 1 0) into 1
2.482 * [backup-simplify]: Simplify (+ 1 0) into 1
2.482 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
2.482 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.483 * [backup-simplify]: Simplify (+ 0 0) into 0
2.483 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
2.483 * [taylor]: Taking taylor expansion of 0 in y
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify (- 0) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
2.485 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.485 * [backup-simplify]: Simplify (* 1 1) into 1
2.486 * [backup-simplify]: Simplify (+ 0 1) into 1
2.486 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
2.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
2.486 * [taylor]: Taking taylor expansion of 2 in y
2.486 * [backup-simplify]: Simplify 2 into 2
2.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.486 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.486 * [taylor]: Taking taylor expansion of y in y
2.486 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 1 into 1
2.487 * [backup-simplify]: Simplify (* 1 1) into 1
2.487 * [backup-simplify]: Simplify (/ 1 1) into 1
2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.491 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify (- 0) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.493 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
2.494 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.495 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
2.496 * [taylor]: Taking taylor expansion of 0 in y
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify 0 into 0
2.496 * [backup-simplify]: Simplify -1 into -1
2.496 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
2.496 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
2.497 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y
2.497 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
2.497 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.497 * [taylor]: Taking taylor expansion of x in y
2.497 * [backup-simplify]: Simplify x into x
2.497 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.497 * [taylor]: Taking taylor expansion of y in y
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [backup-simplify]: Simplify (/ 1 1) into 1
2.497 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
2.497 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.497 * [taylor]: Taking taylor expansion of x in y
2.497 * [backup-simplify]: Simplify x into x
2.497 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.497 * [taylor]: Taking taylor expansion of y in y
2.497 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (/ 1 1) into 1
2.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.498 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.498 * [taylor]: Taking taylor expansion of y in y
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [backup-simplify]: Simplify (* 1 1) into 1
2.499 * [backup-simplify]: Simplify (/ 1 1) into 1
2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.499 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.499 * [taylor]: Taking taylor expansion of x in y
2.499 * [backup-simplify]: Simplify x into x
2.499 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.499 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.499 * [backup-simplify]: Simplify (+ 0 1) into 1
2.500 * [backup-simplify]: Simplify (- 1) into -1
2.500 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.501 * [backup-simplify]: Simplify (* 1 -1) into -1
2.501 * [backup-simplify]: Simplify (+ 1 0) into 1
2.502 * [backup-simplify]: Simplify (/ -1 1) into -1
2.502 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
2.502 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
2.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.502 * [taylor]: Taking taylor expansion of x in x
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (/ 1 1) into 1
2.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.502 * [taylor]: Taking taylor expansion of y in x
2.502 * [backup-simplify]: Simplify y into y
2.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.502 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
2.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.502 * [taylor]: Taking taylor expansion of x in x
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (/ 1 1) into 1
2.503 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.503 * [taylor]: Taking taylor expansion of y in x
2.503 * [backup-simplify]: Simplify y into y
2.503 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.503 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.503 * [taylor]: Taking taylor expansion of y in x
2.503 * [backup-simplify]: Simplify y into y
2.503 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.504 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.504 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.504 * [taylor]: Taking taylor expansion of x in x
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (* 1 1) into 1
2.504 * [backup-simplify]: Simplify (/ 1 1) into 1
2.505 * [backup-simplify]: Simplify (+ 1 0) into 1
2.505 * [backup-simplify]: Simplify (+ 1 0) into 1
2.506 * [backup-simplify]: Simplify (* 1 1) into 1
2.506 * [backup-simplify]: Simplify (+ 0 1) into 1
2.506 * [backup-simplify]: Simplify (/ 1 1) into 1
2.506 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
2.507 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
2.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.507 * [taylor]: Taking taylor expansion of x in x
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.507 * [backup-simplify]: Simplify (/ 1 1) into 1
2.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.507 * [taylor]: Taking taylor expansion of y in x
2.507 * [backup-simplify]: Simplify y into y
2.507 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.507 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
2.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.507 * [taylor]: Taking taylor expansion of x in x
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.508 * [backup-simplify]: Simplify (/ 1 1) into 1
2.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.508 * [taylor]: Taking taylor expansion of y in x
2.508 * [backup-simplify]: Simplify y into y
2.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.508 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.508 * [taylor]: Taking taylor expansion of y in x
2.508 * [backup-simplify]: Simplify y into y
2.508 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.508 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.508 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.508 * [taylor]: Taking taylor expansion of x in x
2.508 * [backup-simplify]: Simplify 0 into 0
2.508 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (* 1 1) into 1
2.509 * [backup-simplify]: Simplify (/ 1 1) into 1
2.510 * [backup-simplify]: Simplify (+ 1 0) into 1
2.510 * [backup-simplify]: Simplify (+ 1 0) into 1
2.510 * [backup-simplify]: Simplify (* 1 1) into 1
2.511 * [backup-simplify]: Simplify (+ 0 1) into 1
2.511 * [backup-simplify]: Simplify (/ 1 1) into 1
2.511 * [taylor]: Taking taylor expansion of 1 in y
2.511 * [backup-simplify]: Simplify 1 into 1
2.511 * [backup-simplify]: Simplify 1 into 1
2.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
2.512 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.513 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
2.513 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0
2.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (+ 0 0) into 0
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
2.516 * [taylor]: Taking taylor expansion of 0 in y
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.518 * [backup-simplify]: Simplify (- 0) into 0
2.518 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2)))
2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.522 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.523 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
2.523 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
2.523 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
2.523 * [taylor]: Taking taylor expansion of 2 in y
2.523 * [backup-simplify]: Simplify 2 into 2
2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.523 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.524 * [taylor]: Taking taylor expansion of y in y
2.524 * [backup-simplify]: Simplify 0 into 0
2.524 * [backup-simplify]: Simplify 1 into 1
2.524 * [backup-simplify]: Simplify (* 1 1) into 1
2.524 * [backup-simplify]: Simplify (/ 1 1) into 1
2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.529 * [backup-simplify]: Simplify (- 0) into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.530 * [backup-simplify]: Simplify (- 0) into 0
2.531 * [backup-simplify]: Simplify (+ 0 0) into 0
2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.532 * [backup-simplify]: Simplify (+ 0 0) into 0
2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0
2.532 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.534 * [backup-simplify]: Simplify (+ 0 0) into 0
2.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
2.535 * [taylor]: Taking taylor expansion of 0 in y
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify 1 into 1
2.535 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
2.535 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
2.535 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
2.535 * [taylor]: Taking taylor expansion of -1 in y
2.535 * [backup-simplify]: Simplify -1 into -1
2.535 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
2.535 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
2.535 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
2.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.535 * [taylor]: Taking taylor expansion of y in y
2.535 * [backup-simplify]: Simplify 0 into 0
2.535 * [backup-simplify]: Simplify 1 into 1
2.536 * [backup-simplify]: Simplify (/ 1 1) into 1
2.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.536 * [taylor]: Taking taylor expansion of x in y
2.536 * [backup-simplify]: Simplify x into x
2.536 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.536 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
2.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.536 * [taylor]: Taking taylor expansion of x in y
2.536 * [backup-simplify]: Simplify x into x
2.536 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.536 * [taylor]: Taking taylor expansion of y in y
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.536 * [backup-simplify]: Simplify (/ 1 1) into 1
2.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.536 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.536 * [taylor]: Taking taylor expansion of y in y
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.539 * [backup-simplify]: Simplify (* 1 1) into 1
2.540 * [backup-simplify]: Simplify (/ 1 1) into 1
2.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.540 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.540 * [taylor]: Taking taylor expansion of x in y
2.540 * [backup-simplify]: Simplify x into x
2.540 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.540 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.541 * [backup-simplify]: Simplify (+ 1 0) into 1
2.541 * [backup-simplify]: Simplify (+ 0 1) into 1
2.541 * [backup-simplify]: Simplify (* 1 1) into 1
2.541 * [backup-simplify]: Simplify (+ 1 0) into 1
2.542 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.542 * [taylor]: Taking taylor expansion of -1 in x
2.542 * [backup-simplify]: Simplify -1 into -1
2.542 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.542 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
2.542 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
2.542 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.542 * [taylor]: Taking taylor expansion of y in x
2.542 * [backup-simplify]: Simplify y into y
2.542 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.542 * [taylor]: Taking taylor expansion of x in x
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
2.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.542 * [taylor]: Taking taylor expansion of x in x
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [backup-simplify]: Simplify (/ 1 1) into 1
2.542 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.542 * [taylor]: Taking taylor expansion of y in x
2.542 * [backup-simplify]: Simplify y into y
2.542 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.542 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.542 * [taylor]: Taking taylor expansion of y in x
2.542 * [backup-simplify]: Simplify y into y
2.543 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.543 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.543 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.543 * [taylor]: Taking taylor expansion of x in x
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 1 into 1
2.543 * [backup-simplify]: Simplify (* 1 1) into 1
2.543 * [backup-simplify]: Simplify (/ 1 1) into 1
2.543 * [backup-simplify]: Simplify (- 1) into -1
2.544 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.544 * [backup-simplify]: Simplify (+ 1 0) into 1
2.544 * [backup-simplify]: Simplify (* -1 1) into -1
2.544 * [backup-simplify]: Simplify (+ 0 1) into 1
2.545 * [backup-simplify]: Simplify (/ -1 1) into -1
2.545 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
2.545 * [taylor]: Taking taylor expansion of -1 in x
2.545 * [backup-simplify]: Simplify -1 into -1
2.545 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
2.545 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
2.545 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
2.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.545 * [taylor]: Taking taylor expansion of y in x
2.545 * [backup-simplify]: Simplify y into y
2.545 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.545 * [taylor]: Taking taylor expansion of x in x
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [backup-simplify]: Simplify (/ 1 1) into 1
2.545 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
2.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.545 * [taylor]: Taking taylor expansion of x in x
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [backup-simplify]: Simplify (/ 1 1) into 1
2.546 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.546 * [taylor]: Taking taylor expansion of y in x
2.546 * [backup-simplify]: Simplify y into y
2.546 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.546 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.546 * [taylor]: Taking taylor expansion of y in x
2.546 * [backup-simplify]: Simplify y into y
2.546 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.546 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.546 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.546 * [taylor]: Taking taylor expansion of x in x
2.546 * [backup-simplify]: Simplify 0 into 0
2.546 * [backup-simplify]: Simplify 1 into 1
2.546 * [backup-simplify]: Simplify (* 1 1) into 1
2.546 * [backup-simplify]: Simplify (/ 1 1) into 1
2.547 * [backup-simplify]: Simplify (- 1) into -1
2.547 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.547 * [backup-simplify]: Simplify (+ 1 0) into 1
2.547 * [backup-simplify]: Simplify (* -1 1) into -1
2.548 * [backup-simplify]: Simplify (+ 0 1) into 1
2.548 * [backup-simplify]: Simplify (/ -1 1) into -1
2.548 * [backup-simplify]: Simplify (* -1 -1) into 1
2.548 * [taylor]: Taking taylor expansion of 1 in y
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [backup-simplify]: Simplify 1 into 1
2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.549 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
2.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.549 * [backup-simplify]: Simplify (- 0) into 0
2.549 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
2.550 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0
2.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.551 * [backup-simplify]: Simplify (+ 0 0) into 0
2.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.552 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.552 * [taylor]: Taking taylor expansion of 0 in y
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.553 * [backup-simplify]: Simplify (+ 0 0) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.553 * [backup-simplify]: Simplify (- 0) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.555 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.556 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
2.557 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
2.557 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
2.557 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
2.557 * [taylor]: Taking taylor expansion of 2 in y
2.557 * [backup-simplify]: Simplify 2 into 2
2.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.557 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.557 * [taylor]: Taking taylor expansion of y in y
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 1 into 1
2.557 * [backup-simplify]: Simplify (* 1 1) into 1
2.557 * [backup-simplify]: Simplify (/ 1 1) into 1
2.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.560 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
2.561 * [backup-simplify]: Simplify (- 0) into 0
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 0 into 0
2.561 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.562 * [backup-simplify]: Simplify (+ 0 0) into 0
2.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.564 * [backup-simplify]: Simplify (- 0) into 0
2.564 * [backup-simplify]: Simplify (+ 0 0) into 0
2.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
2.566 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.568 * [backup-simplify]: Simplify (+ 0 0) into 0
2.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
2.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
2.571 * [taylor]: Taking taylor expansion of 0 in y
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 0 into 0
2.571 * [backup-simplify]: Simplify 1 into 1
2.571 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
2.572 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
2.572 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
2.572 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.572 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.572 * [taylor]: Taking taylor expansion of y in y
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.572 * [taylor]: Taking taylor expansion of x in y
2.572 * [backup-simplify]: Simplify x into x
2.572 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.572 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.572 * [taylor]: Taking taylor expansion of y in x
2.572 * [backup-simplify]: Simplify y into y
2.572 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.572 * [taylor]: Taking taylor expansion of x in x
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.572 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.572 * [taylor]: Taking taylor expansion of y in x
2.572 * [backup-simplify]: Simplify y into y
2.572 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.572 * [taylor]: Taking taylor expansion of x in x
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.573 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.573 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.573 * [taylor]: Taking taylor expansion of y in y
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 1 into 1
2.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.573 * [backup-simplify]: Simplify (+ 0 0) into 0
2.573 * [taylor]: Taking taylor expansion of 0 in y
2.573 * [backup-simplify]: Simplify 0 into 0
2.573 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.574 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify (+ 0 1) into 1
2.575 * [taylor]: Taking taylor expansion of 1 in y
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify 1 into 1
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify 1 into 1
2.576 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.577 * [taylor]: Taking taylor expansion of 0 in y
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.578 * [backup-simplify]: Simplify 0 into 0
2.579 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.581 * [backup-simplify]: Simplify (+ 0 0) into 0
2.581 * [taylor]: Taking taylor expansion of 0 in y
2.581 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify 0 into 0
2.581 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
2.582 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.582 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.582 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.582 * [taylor]: Taking taylor expansion of y in y
2.582 * [backup-simplify]: Simplify 0 into 0
2.582 * [backup-simplify]: Simplify 1 into 1
2.582 * [backup-simplify]: Simplify (* 1 1) into 1
2.582 * [backup-simplify]: Simplify (/ 1 1) into 1
2.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.583 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.583 * [taylor]: Taking taylor expansion of x in y
2.583 * [backup-simplify]: Simplify x into x
2.583 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.583 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.583 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.583 * [taylor]: Taking taylor expansion of y in x
2.583 * [backup-simplify]: Simplify y into y
2.583 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.583 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.583 * [taylor]: Taking taylor expansion of x in x
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [backup-simplify]: Simplify 1 into 1
2.584 * [backup-simplify]: Simplify (* 1 1) into 1
2.584 * [backup-simplify]: Simplify (/ 1 1) into 1
2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.584 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.584 * [taylor]: Taking taylor expansion of y in x
2.584 * [backup-simplify]: Simplify y into y
2.584 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.584 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.584 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.584 * [taylor]: Taking taylor expansion of x in x
2.585 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify 1 into 1
2.585 * [backup-simplify]: Simplify (* 1 1) into 1
2.585 * [backup-simplify]: Simplify (/ 1 1) into 1
2.586 * [backup-simplify]: Simplify (+ 0 1) into 1
2.586 * [taylor]: Taking taylor expansion of 1 in y
2.586 * [backup-simplify]: Simplify 1 into 1
2.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.588 * [backup-simplify]: Simplify (+ 0 0) into 0
2.588 * [taylor]: Taking taylor expansion of 0 in y
2.588 * [backup-simplify]: Simplify 0 into 0
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.590 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.590 * [taylor]: Taking taylor expansion of y in y
2.590 * [backup-simplify]: Simplify 0 into 0
2.590 * [backup-simplify]: Simplify 1 into 1
2.590 * [backup-simplify]: Simplify (* 1 1) into 1
2.591 * [backup-simplify]: Simplify (/ 1 1) into 1
2.591 * [backup-simplify]: Simplify 1 into 1
2.591 * [backup-simplify]: Simplify 1 into 1
2.591 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.594 * [taylor]: Taking taylor expansion of 0 in y
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.595 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.598 * [backup-simplify]: Simplify (+ 0 0) into 0
2.598 * [taylor]: Taking taylor expansion of 0 in y
2.599 * [backup-simplify]: Simplify 0 into 0
2.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
2.601 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.601 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.601 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.601 * [taylor]: Taking taylor expansion of y in y
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 1 into 1
2.602 * [backup-simplify]: Simplify (* 1 1) into 1
2.602 * [backup-simplify]: Simplify (/ 1 1) into 1
2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.602 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.602 * [taylor]: Taking taylor expansion of x in y
2.602 * [backup-simplify]: Simplify x into x
2.602 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.603 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.603 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.603 * [taylor]: Taking taylor expansion of y in x
2.603 * [backup-simplify]: Simplify y into y
2.603 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.603 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.603 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.603 * [taylor]: Taking taylor expansion of x in x
2.603 * [backup-simplify]: Simplify 0 into 0
2.603 * [backup-simplify]: Simplify 1 into 1
2.604 * [backup-simplify]: Simplify (* 1 1) into 1
2.604 * [backup-simplify]: Simplify (/ 1 1) into 1
2.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.604 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.604 * [taylor]: Taking taylor expansion of y in x
2.604 * [backup-simplify]: Simplify y into y
2.604 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.604 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.604 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.604 * [taylor]: Taking taylor expansion of x in x
2.604 * [backup-simplify]: Simplify 0 into 0
2.604 * [backup-simplify]: Simplify 1 into 1
2.605 * [backup-simplify]: Simplify (* 1 1) into 1
2.605 * [backup-simplify]: Simplify (/ 1 1) into 1
2.606 * [backup-simplify]: Simplify (+ 0 1) into 1
2.606 * [taylor]: Taking taylor expansion of 1 in y
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.607 * [backup-simplify]: Simplify (+ 0 0) into 0
2.607 * [taylor]: Taking taylor expansion of 0 in y
2.607 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.609 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.610 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.610 * [taylor]: Taking taylor expansion of y in y
2.610 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify 1 into 1
2.610 * [backup-simplify]: Simplify (* 1 1) into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.610 * [backup-simplify]: Simplify 1 into 1
2.611 * [backup-simplify]: Simplify 1 into 1
2.611 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.613 * [backup-simplify]: Simplify (+ 0 0) into 0
2.613 * [taylor]: Taking taylor expansion of 0 in y
2.613 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.615 * [backup-simplify]: Simplify 0 into 0
2.615 * [backup-simplify]: Simplify 0 into 0
2.615 * [backup-simplify]: Simplify 0 into 0
2.615 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.618 * [backup-simplify]: Simplify (+ 0 0) into 0
2.618 * [taylor]: Taking taylor expansion of 0 in y
2.618 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.620 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
2.621 * * * [progress]: simplifying candidates
2.622 * [simplify]: Simplifying:
  (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y))))
  (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
  (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (- (* (- x y) (+ x y)))
  (- (+ (* x x) (* y y)))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) 1)
  (/ (+ x y) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (* (- x y) (+ x y)) 1)
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)))
  (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (- x y))
  (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (+ x y))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  -1
  1
  1
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
2.624 * * [simplify]: iteration 0: 91 enodes
2.648 * * [simplify]: iteration 1: 336 enodes
2.887 * * [simplify]: iteration 2: 2435 enodes
3.654 * * [simplify]: iteration complete: 5001 enodes
3.654 * * [simplify]: Extracting #0: cost 42 inf + 0
3.657 * * [simplify]: Extracting #1: cost 914 inf + 2
3.667 * * [simplify]: Extracting #2: cost 2191 inf + 52
3.683 * * [simplify]: Extracting #3: cost 1961 inf + 3373
3.698 * * [simplify]: Extracting #4: cost 545 inf + 22870
3.719 * * [simplify]: Extracting #5: cost 88 inf + 31777
3.727 * * [simplify]: Extracting #6: cost 0 inf + 34011
3.734 * [simplify]: Simplified to:
  (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))))
  (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))))
  (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))))
  (exp (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))))
  (/ (pow (* (+ x y) (- x y)) 3) (pow (+ (* x x) (* y y)) 3))
  (/ (pow (* (+ x y) (- x y)) 3) (pow (+ (* x x) (* y y)) 3))
  (* (cbrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x)))) (cbrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x)))))
  (cbrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))))
  (pow (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))) 3)
  (sqrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))))
  (sqrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ y x))))
  (* (- (- x y)) (+ y x))
  (- (* (- x) x) (* y y))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ y x) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ y x) (sqrt (+ (* x x) (* y y))))
  (- x y)
  (/ (+ y x) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (* (/ (+ y x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (- x y))
  (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ y x))
  (* (+ x y) (- x y))
  (/ (+ (* x x) (* y y)) (+ y x))
  (* (/ (- x y) (+ (pow x 6) (pow y 6))) (+ y x))
  (/ (* (+ x y) (- x y)) (- (pow x 4) (pow y 4)))
  (* (+ (* x x) (* (- y x) y)) (* (+ (* x x) (* (+ y x) y)) (+ (* x x) (* y y))))
  (* (+ (* x x) (* (+ y x) y)) (* (- x y) (+ (* x x) (* y y))))
  (* (* (+ (* x x) (* y y)) (+ y x)) (+ (* x x) (* (- y x) y)))
  (- (pow x 4) (pow y 4))
  (* (+ (* x x) (* y y)) (+ (* x x) (* (- y x) y)))
  (* (+ (* x x) (* y y)) (- x y))
  (* (+ (* x x) (* (+ y x) y)) (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (+ y x))
  (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 y) (- x y))
  -1
  1
  1
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
3.735 * * * [progress]: adding candidates to table
3.999 * * [progress]: iteration 2 / 4
3.999 * * * [progress]: picking best candidate
4.015 * * * * [pick]: Picked  #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))>
4.015 * * * [progress]: localizing error
4.033 * * * [progress]: generating rewritten candidates
4.033 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
4.079 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
4.134 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
4.150 * * * [progress]: generating series expansions
4.150 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
4.151 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) into (/ (+ (pow y 2) (pow x 2)) (* (+ x y) (- x y)))
4.151 * [approximate]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (* (+ x y) (- x y))) in (x y) around 0
4.151 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (* (+ x y) (- x y))) in y
4.151 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.151 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.151 * [taylor]: Taking taylor expansion of y in y
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.151 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.151 * [taylor]: Taking taylor expansion of x in y
4.151 * [backup-simplify]: Simplify x into x
4.151 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.151 * [taylor]: Taking taylor expansion of (+ x y) in y
4.151 * [taylor]: Taking taylor expansion of x in y
4.151 * [backup-simplify]: Simplify x into x
4.151 * [taylor]: Taking taylor expansion of y in y
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.151 * [taylor]: Taking taylor expansion of (- x y) in y
4.151 * [taylor]: Taking taylor expansion of x in y
4.151 * [backup-simplify]: Simplify x into x
4.151 * [taylor]: Taking taylor expansion of y in y
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.152 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.152 * [backup-simplify]: Simplify (+ x 0) into x
4.153 * [backup-simplify]: Simplify (- 0) into 0
4.153 * [backup-simplify]: Simplify (+ x 0) into x
4.153 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.153 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.153 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (* (+ x y) (- x y))) in x
4.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.153 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.153 * [taylor]: Taking taylor expansion of y in x
4.153 * [backup-simplify]: Simplify y into y
4.153 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.153 * [taylor]: Taking taylor expansion of x in x
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.153 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.154 * [taylor]: Taking taylor expansion of (+ x y) in x
4.154 * [taylor]: Taking taylor expansion of x in x
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [taylor]: Taking taylor expansion of y in x
4.154 * [backup-simplify]: Simplify y into y
4.154 * [taylor]: Taking taylor expansion of (- x y) in x
4.154 * [taylor]: Taking taylor expansion of x in x
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 1 into 1
4.154 * [taylor]: Taking taylor expansion of y in x
4.154 * [backup-simplify]: Simplify y into y
4.154 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.154 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.154 * [backup-simplify]: Simplify (+ 0 y) into y
4.154 * [backup-simplify]: Simplify (- y) into (- y)
4.154 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.154 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.155 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1
4.155 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (* (+ x y) (- x y))) in x
4.155 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.155 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.155 * [taylor]: Taking taylor expansion of y in x
4.155 * [backup-simplify]: Simplify y into y
4.155 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.155 * [taylor]: Taking taylor expansion of x in x
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.155 * [taylor]: Taking taylor expansion of (+ x y) in x
4.155 * [taylor]: Taking taylor expansion of x in x
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [taylor]: Taking taylor expansion of y in x
4.155 * [backup-simplify]: Simplify y into y
4.155 * [taylor]: Taking taylor expansion of (- x y) in x
4.155 * [taylor]: Taking taylor expansion of x in x
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [taylor]: Taking taylor expansion of y in x
4.155 * [backup-simplify]: Simplify y into y
4.155 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.156 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.156 * [backup-simplify]: Simplify (+ 0 y) into y
4.156 * [backup-simplify]: Simplify (- y) into (- y)
4.156 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.156 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.156 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1
4.156 * [taylor]: Taking taylor expansion of -1 in y
4.156 * [backup-simplify]: Simplify -1 into -1
4.156 * [backup-simplify]: Simplify -1 into -1
4.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.157 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (- 0) into 0
4.158 * [backup-simplify]: Simplify (+ 1 0) into 1
4.158 * [backup-simplify]: Simplify (+ 1 0) into 1
4.159 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
4.159 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0
4.159 * [taylor]: Taking taylor expansion of 0 in y
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 0 into 0
4.160 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.160 * [backup-simplify]: Simplify (* 1 1) into 1
4.160 * [backup-simplify]: Simplify (+ 0 1) into 1
4.161 * [backup-simplify]: Simplify (- 0) into 0
4.161 * [backup-simplify]: Simplify (+ 0 0) into 0
4.162 * [backup-simplify]: Simplify (+ 0 0) into 0
4.162 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
4.163 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* -1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2))))
4.163 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.163 * [taylor]: Taking taylor expansion of 2 in y
4.163 * [backup-simplify]: Simplify 2 into 2
4.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.163 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.163 * [taylor]: Taking taylor expansion of y in y
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 1 into 1
4.163 * [backup-simplify]: Simplify (* 1 1) into 1
4.164 * [backup-simplify]: Simplify (/ 1 1) into 1
4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.169 * [backup-simplify]: Simplify (- 0) into 0
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.171 * [backup-simplify]: Simplify (+ 0 0) into 0
4.171 * [backup-simplify]: Simplify (- 0) into 0
4.172 * [backup-simplify]: Simplify (+ 0 0) into 0
4.172 * [backup-simplify]: Simplify (+ 0 0) into 0
4.173 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
4.174 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (* -1 (pow y 2)))))) into 0
4.174 * [taylor]: Taking taylor expansion of 0 in y
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [backup-simplify]: Simplify -1 into -1
4.175 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))))
4.175 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in (x y) around 0
4.175 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in y
4.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.175 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.175 * [taylor]: Taking taylor expansion of y in y
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 1 into 1
4.175 * [backup-simplify]: Simplify (* 1 1) into 1
4.175 * [backup-simplify]: Simplify (/ 1 1) into 1
4.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.175 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.175 * [taylor]: Taking taylor expansion of x in y
4.175 * [backup-simplify]: Simplify x into x
4.176 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.176 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.176 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in y
4.176 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.176 * [taylor]: Taking taylor expansion of x in y
4.176 * [backup-simplify]: Simplify x into x
4.176 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.176 * [taylor]: Taking taylor expansion of y in y
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify 1 into 1
4.176 * [backup-simplify]: Simplify (/ 1 1) into 1
4.176 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.176 * [taylor]: Taking taylor expansion of x in y
4.176 * [backup-simplify]: Simplify x into x
4.176 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.176 * [taylor]: Taking taylor expansion of y in y
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify 1 into 1
4.176 * [backup-simplify]: Simplify (/ 1 1) into 1
4.177 * [backup-simplify]: Simplify (+ 1 0) into 1
4.177 * [backup-simplify]: Simplify (- 1) into -1
4.177 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.177 * [backup-simplify]: Simplify (+ 0 1) into 1
4.178 * [backup-simplify]: Simplify (* -1 1) into -1
4.178 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in x
4.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.178 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.178 * [taylor]: Taking taylor expansion of y in x
4.178 * [backup-simplify]: Simplify y into y
4.178 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.178 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.178 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.178 * [taylor]: Taking taylor expansion of x in x
4.178 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify 1 into 1
4.179 * [backup-simplify]: Simplify (* 1 1) into 1
4.179 * [backup-simplify]: Simplify (/ 1 1) into 1
4.179 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x
4.179 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.179 * [taylor]: Taking taylor expansion of x in x
4.179 * [backup-simplify]: Simplify 0 into 0
4.179 * [backup-simplify]: Simplify 1 into 1
4.179 * [backup-simplify]: Simplify (/ 1 1) into 1
4.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.179 * [taylor]: Taking taylor expansion of y in x
4.179 * [backup-simplify]: Simplify y into y
4.179 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.179 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.179 * [taylor]: Taking taylor expansion of x in x
4.179 * [backup-simplify]: Simplify 0 into 0
4.179 * [backup-simplify]: Simplify 1 into 1
4.180 * [backup-simplify]: Simplify (/ 1 1) into 1
4.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.180 * [taylor]: Taking taylor expansion of y in x
4.180 * [backup-simplify]: Simplify y into y
4.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.180 * [backup-simplify]: Simplify (+ 0 1) into 1
4.180 * [backup-simplify]: Simplify (+ 1 0) into 1
4.180 * [backup-simplify]: Simplify (+ 1 0) into 1
4.181 * [backup-simplify]: Simplify (* 1 1) into 1
4.181 * [backup-simplify]: Simplify (/ 1 1) into 1
4.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) in x
4.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.181 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.181 * [taylor]: Taking taylor expansion of y in x
4.181 * [backup-simplify]: Simplify y into y
4.181 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.181 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.181 * [taylor]: Taking taylor expansion of x in x
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify 1 into 1
4.182 * [backup-simplify]: Simplify (* 1 1) into 1
4.182 * [backup-simplify]: Simplify (/ 1 1) into 1
4.182 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) in x
4.182 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.182 * [taylor]: Taking taylor expansion of x in x
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 1 into 1
4.182 * [backup-simplify]: Simplify (/ 1 1) into 1
4.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.182 * [taylor]: Taking taylor expansion of y in x
4.182 * [backup-simplify]: Simplify y into y
4.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.182 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.182 * [taylor]: Taking taylor expansion of x in x
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 1 into 1
4.182 * [backup-simplify]: Simplify (/ 1 1) into 1
4.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.183 * [taylor]: Taking taylor expansion of y in x
4.183 * [backup-simplify]: Simplify y into y
4.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.183 * [backup-simplify]: Simplify (+ 0 1) into 1
4.183 * [backup-simplify]: Simplify (+ 1 0) into 1
4.183 * [backup-simplify]: Simplify (+ 1 0) into 1
4.184 * [backup-simplify]: Simplify (* 1 1) into 1
4.184 * [backup-simplify]: Simplify (/ 1 1) into 1
4.184 * [taylor]: Taking taylor expansion of 1 in y
4.184 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify 1 into 1
4.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.185 * [backup-simplify]: Simplify (+ 0 0) into 0
4.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.185 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.186 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.186 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.186 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
4.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.187 * [taylor]: Taking taylor expansion of 0 in y
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.188 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.189 * [backup-simplify]: Simplify (+ 0 0) into 0
4.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.190 * [backup-simplify]: Simplify (- 0) into 0
4.190 * [backup-simplify]: Simplify (+ 0 0) into 0
4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
4.191 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
4.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.191 * [taylor]: Taking taylor expansion of 2 in y
4.191 * [backup-simplify]: Simplify 2 into 2
4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.191 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.191 * [taylor]: Taking taylor expansion of y in y
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 1 into 1
4.191 * [backup-simplify]: Simplify (* 1 1) into 1
4.192 * [backup-simplify]: Simplify (/ 1 1) into 1
4.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (+ 0 0) into 0
4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.197 * [backup-simplify]: Simplify (+ 0 0) into 0
4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.197 * [backup-simplify]: Simplify (- 0) into 0
4.198 * [backup-simplify]: Simplify (+ 0 0) into 0
4.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
4.203 * [taylor]: Taking taylor expansion of 0 in y
4.203 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify 1 into 1
4.204 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))))
4.204 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))))) in (x y) around 0
4.204 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))))) in y
4.204 * [taylor]: Taking taylor expansion of -1 in y
4.204 * [backup-simplify]: Simplify -1 into -1
4.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in y
4.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.204 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.204 * [taylor]: Taking taylor expansion of y in y
4.204 * [backup-simplify]: Simplify 0 into 0
4.204 * [backup-simplify]: Simplify 1 into 1
4.204 * [backup-simplify]: Simplify (* 1 1) into 1
4.204 * [backup-simplify]: Simplify (/ 1 1) into 1
4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.204 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.204 * [taylor]: Taking taylor expansion of x in y
4.204 * [backup-simplify]: Simplify x into x
4.204 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.205 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.205 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
4.205 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.205 * [taylor]: Taking taylor expansion of y in y
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (/ 1 1) into 1
4.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.205 * [taylor]: Taking taylor expansion of x in y
4.205 * [backup-simplify]: Simplify x into x
4.205 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.205 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.205 * [taylor]: Taking taylor expansion of x in y
4.205 * [backup-simplify]: Simplify x into x
4.205 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.205 * [taylor]: Taking taylor expansion of y in y
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 1 into 1
4.205 * [backup-simplify]: Simplify (/ 1 1) into 1
4.206 * [backup-simplify]: Simplify (+ 1 0) into 1
4.206 * [backup-simplify]: Simplify (+ 1 0) into 1
4.206 * [backup-simplify]: Simplify (+ 0 1) into 1
4.207 * [backup-simplify]: Simplify (* 1 1) into 1
4.207 * [backup-simplify]: Simplify (/ 1 1) into 1
4.207 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))))) in x
4.207 * [taylor]: Taking taylor expansion of -1 in x
4.207 * [backup-simplify]: Simplify -1 into -1
4.207 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x
4.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.207 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.207 * [taylor]: Taking taylor expansion of y in x
4.207 * [backup-simplify]: Simplify y into y
4.207 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.207 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.207 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.207 * [taylor]: Taking taylor expansion of x in x
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 1 into 1
4.208 * [backup-simplify]: Simplify (* 1 1) into 1
4.208 * [backup-simplify]: Simplify (/ 1 1) into 1
4.208 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
4.208 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.208 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.208 * [taylor]: Taking taylor expansion of y in x
4.208 * [backup-simplify]: Simplify y into y
4.208 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.208 * [taylor]: Taking taylor expansion of x in x
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 1 into 1
4.208 * [backup-simplify]: Simplify (/ 1 1) into 1
4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.208 * [taylor]: Taking taylor expansion of x in x
4.208 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify 1 into 1
4.208 * [backup-simplify]: Simplify (/ 1 1) into 1
4.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.209 * [taylor]: Taking taylor expansion of y in x
4.209 * [backup-simplify]: Simplify y into y
4.209 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.209 * [backup-simplify]: Simplify (+ 0 1) into 1
4.209 * [backup-simplify]: Simplify (- 1) into -1
4.209 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.210 * [backup-simplify]: Simplify (+ 1 0) into 1
4.210 * [backup-simplify]: Simplify (* -1 1) into -1
4.210 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.210 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))))) in x
4.210 * [taylor]: Taking taylor expansion of -1 in x
4.210 * [backup-simplify]: Simplify -1 into -1
4.210 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y)))) in x
4.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.210 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.210 * [taylor]: Taking taylor expansion of y in x
4.210 * [backup-simplify]: Simplify y into y
4.210 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.210 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.210 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.210 * [taylor]: Taking taylor expansion of x in x
4.210 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (* 1 1) into 1
4.211 * [backup-simplify]: Simplify (/ 1 1) into 1
4.211 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
4.211 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.211 * [taylor]: Taking taylor expansion of y in x
4.211 * [backup-simplify]: Simplify y into y
4.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.211 * [taylor]: Taking taylor expansion of x in x
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.211 * [backup-simplify]: Simplify (/ 1 1) into 1
4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.211 * [taylor]: Taking taylor expansion of x in x
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify 1 into 1
4.212 * [backup-simplify]: Simplify (/ 1 1) into 1
4.212 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.212 * [taylor]: Taking taylor expansion of y in x
4.212 * [backup-simplify]: Simplify y into y
4.212 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.212 * [backup-simplify]: Simplify (+ 0 1) into 1
4.212 * [backup-simplify]: Simplify (- 1) into -1
4.213 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.213 * [backup-simplify]: Simplify (+ 1 0) into 1
4.213 * [backup-simplify]: Simplify (* -1 1) into -1
4.213 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.214 * [backup-simplify]: Simplify (* -1 -1) into 1
4.214 * [taylor]: Taking taylor expansion of 1 in y
4.214 * [backup-simplify]: Simplify 1 into 1
4.214 * [backup-simplify]: Simplify 1 into 1
4.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.215 * [backup-simplify]: Simplify (+ 0 0) into 0
4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.216 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.217 * [backup-simplify]: Simplify (- 0) into 0
4.217 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.217 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0
4.218 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
4.219 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.219 * [taylor]: Taking taylor expansion of 0 in y
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify 0 into 0
4.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.221 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.222 * [backup-simplify]: Simplify (+ 0 0) into 0
4.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.224 * [backup-simplify]: Simplify (- 0) into 0
4.224 * [backup-simplify]: Simplify (+ 0 0) into 0
4.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
4.227 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2))))
4.228 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2)))
4.228 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.228 * [taylor]: Taking taylor expansion of 2 in y
4.228 * [backup-simplify]: Simplify 2 into 2
4.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.228 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.228 * [taylor]: Taking taylor expansion of y in y
4.228 * [backup-simplify]: Simplify 0 into 0
4.228 * [backup-simplify]: Simplify 1 into 1
4.228 * [backup-simplify]: Simplify (* 1 1) into 1
4.229 * [backup-simplify]: Simplify (/ 1 1) into 1
4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.233 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify 0 into 0
4.233 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.236 * [backup-simplify]: Simplify (+ 0 0) into 0
4.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.238 * [backup-simplify]: Simplify (+ 0 0) into 0
4.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.239 * [backup-simplify]: Simplify (- 0) into 0
4.239 * [backup-simplify]: Simplify (+ 0 0) into 0
4.240 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
4.242 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0
4.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0
4.244 * [taylor]: Taking taylor expansion of 0 in y
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 0 into 0
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * * * * [progress]: [ 2 / 3 ] generating series at (2)
4.244 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2)))
4.245 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (x y) around 0
4.245 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
4.245 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.245 * [taylor]: Taking taylor expansion of (+ x y) in y
4.245 * [taylor]: Taking taylor expansion of x in y
4.245 * [backup-simplify]: Simplify x into x
4.245 * [taylor]: Taking taylor expansion of y in y
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [taylor]: Taking taylor expansion of (- x y) in y
4.245 * [taylor]: Taking taylor expansion of x in y
4.245 * [backup-simplify]: Simplify x into x
4.245 * [taylor]: Taking taylor expansion of y in y
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.245 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.245 * [taylor]: Taking taylor expansion of y in y
4.245 * [backup-simplify]: Simplify 0 into 0
4.245 * [backup-simplify]: Simplify 1 into 1
4.245 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.245 * [taylor]: Taking taylor expansion of x in y
4.245 * [backup-simplify]: Simplify x into x
4.245 * [backup-simplify]: Simplify (+ x 0) into x
4.246 * [backup-simplify]: Simplify (- 0) into 0
4.246 * [backup-simplify]: Simplify (+ x 0) into x
4.246 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.246 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.246 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.246 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.246 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
4.246 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.247 * [taylor]: Taking taylor expansion of (+ x y) in x
4.247 * [taylor]: Taking taylor expansion of x in x
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 1 into 1
4.247 * [taylor]: Taking taylor expansion of y in x
4.247 * [backup-simplify]: Simplify y into y
4.247 * [taylor]: Taking taylor expansion of (- x y) in x
4.247 * [taylor]: Taking taylor expansion of x in x
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 1 into 1
4.247 * [taylor]: Taking taylor expansion of y in x
4.247 * [backup-simplify]: Simplify y into y
4.247 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.247 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.247 * [taylor]: Taking taylor expansion of y in x
4.247 * [backup-simplify]: Simplify y into y
4.247 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.247 * [taylor]: Taking taylor expansion of x in x
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 1 into 1
4.247 * [backup-simplify]: Simplify (+ 0 y) into y
4.247 * [backup-simplify]: Simplify (- y) into (- y)
4.247 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.247 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.247 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.248 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.248 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.248 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
4.248 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.248 * [taylor]: Taking taylor expansion of (+ x y) in x
4.248 * [taylor]: Taking taylor expansion of x in x
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify 1 into 1
4.248 * [taylor]: Taking taylor expansion of y in x
4.248 * [backup-simplify]: Simplify y into y
4.248 * [taylor]: Taking taylor expansion of (- x y) in x
4.248 * [taylor]: Taking taylor expansion of x in x
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify 1 into 1
4.248 * [taylor]: Taking taylor expansion of y in x
4.248 * [backup-simplify]: Simplify y into y
4.248 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.248 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.248 * [taylor]: Taking taylor expansion of y in x
4.248 * [backup-simplify]: Simplify y into y
4.248 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.248 * [taylor]: Taking taylor expansion of x in x
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify 1 into 1
4.248 * [backup-simplify]: Simplify (+ 0 y) into y
4.249 * [backup-simplify]: Simplify (- y) into (- y)
4.249 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.249 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.249 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.249 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.249 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.249 * [taylor]: Taking taylor expansion of -1 in y
4.249 * [backup-simplify]: Simplify -1 into -1
4.249 * [backup-simplify]: Simplify -1 into -1
4.250 * [backup-simplify]: Simplify (- 0) into 0
4.250 * [backup-simplify]: Simplify (+ 1 0) into 1
4.251 * [backup-simplify]: Simplify (+ 1 0) into 1
4.251 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
4.251 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.251 * [backup-simplify]: Simplify (+ 0 0) into 0
4.252 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
4.252 * [taylor]: Taking taylor expansion of 0 in y
4.252 * [backup-simplify]: Simplify 0 into 0
4.252 * [backup-simplify]: Simplify 0 into 0
4.252 * [backup-simplify]: Simplify 0 into 0
4.252 * [backup-simplify]: Simplify (- 0) into 0
4.253 * [backup-simplify]: Simplify (+ 0 0) into 0
4.253 * [backup-simplify]: Simplify (+ 0 0) into 0
4.253 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
4.254 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.254 * [backup-simplify]: Simplify (* 1 1) into 1
4.255 * [backup-simplify]: Simplify (+ 0 1) into 1
4.255 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
4.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.255 * [taylor]: Taking taylor expansion of 2 in y
4.255 * [backup-simplify]: Simplify 2 into 2
4.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.255 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.255 * [taylor]: Taking taylor expansion of y in y
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 1 into 1
4.256 * [backup-simplify]: Simplify (* 1 1) into 1
4.256 * [backup-simplify]: Simplify (/ 1 1) into 1
4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.261 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify (- 0) into 0
4.262 * [backup-simplify]: Simplify (+ 0 0) into 0
4.262 * [backup-simplify]: Simplify (+ 0 0) into 0
4.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
4.263 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.264 * [backup-simplify]: Simplify (+ 0 0) into 0
4.265 * [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
4.265 * [taylor]: Taking taylor expansion of 0 in y
4.265 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify -1 into -1
4.265 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))))) into (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
4.265 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
4.265 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y
4.265 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.265 * [taylor]: Taking taylor expansion of x in y
4.265 * [backup-simplify]: Simplify x into x
4.265 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.265 * [taylor]: Taking taylor expansion of y in y
4.265 * [backup-simplify]: Simplify 0 into 0
4.265 * [backup-simplify]: Simplify 1 into 1
4.265 * [backup-simplify]: Simplify (/ 1 1) into 1
4.265 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.265 * [taylor]: Taking taylor expansion of x in y
4.266 * [backup-simplify]: Simplify x into x
4.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.266 * [taylor]: Taking taylor expansion of y in y
4.266 * [backup-simplify]: Simplify 0 into 0
4.266 * [backup-simplify]: Simplify 1 into 1
4.266 * [backup-simplify]: Simplify (/ 1 1) into 1
4.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.266 * [taylor]: Taking taylor expansion of y in y
4.266 * [backup-simplify]: Simplify 0 into 0
4.266 * [backup-simplify]: Simplify 1 into 1
4.266 * [backup-simplify]: Simplify (* 1 1) into 1
4.266 * [backup-simplify]: Simplify (/ 1 1) into 1
4.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.266 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.266 * [taylor]: Taking taylor expansion of x in y
4.267 * [backup-simplify]: Simplify x into x
4.267 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.267 * [backup-simplify]: Simplify (+ 0 1) into 1
4.267 * [backup-simplify]: Simplify (- 1) into -1
4.267 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.268 * [backup-simplify]: Simplify (* 1 -1) into -1
4.268 * [backup-simplify]: Simplify (+ 1 0) into 1
4.268 * [backup-simplify]: Simplify (/ -1 1) into -1
4.268 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
4.268 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.268 * [taylor]: Taking taylor expansion of x in x
4.268 * [backup-simplify]: Simplify 0 into 0
4.268 * [backup-simplify]: Simplify 1 into 1
4.269 * [backup-simplify]: Simplify (/ 1 1) into 1
4.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.269 * [taylor]: Taking taylor expansion of y in x
4.269 * [backup-simplify]: Simplify y into y
4.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.269 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.269 * [taylor]: Taking taylor expansion of x in x
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify 1 into 1
4.269 * [backup-simplify]: Simplify (/ 1 1) into 1
4.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.269 * [taylor]: Taking taylor expansion of y in x
4.269 * [backup-simplify]: Simplify y into y
4.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.269 * [taylor]: Taking taylor expansion of y in x
4.269 * [backup-simplify]: Simplify y into y
4.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.269 * [taylor]: Taking taylor expansion of x in x
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify 1 into 1
4.270 * [backup-simplify]: Simplify (* 1 1) into 1
4.270 * [backup-simplify]: Simplify (/ 1 1) into 1
4.270 * [backup-simplify]: Simplify (+ 1 0) into 1
4.270 * [backup-simplify]: Simplify (+ 1 0) into 1
4.271 * [backup-simplify]: Simplify (* 1 1) into 1
4.271 * [backup-simplify]: Simplify (+ 0 1) into 1
4.271 * [backup-simplify]: Simplify (/ 1 1) into 1
4.271 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
4.271 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.271 * [taylor]: Taking taylor expansion of x in x
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify 1 into 1
4.271 * [backup-simplify]: Simplify (/ 1 1) into 1
4.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.272 * [taylor]: Taking taylor expansion of y in x
4.272 * [backup-simplify]: Simplify y into y
4.272 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.272 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.272 * [taylor]: Taking taylor expansion of x in x
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 1 into 1
4.272 * [backup-simplify]: Simplify (/ 1 1) into 1
4.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.272 * [taylor]: Taking taylor expansion of y in x
4.272 * [backup-simplify]: Simplify y into y
4.272 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.272 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.272 * [taylor]: Taking taylor expansion of y in x
4.272 * [backup-simplify]: Simplify y into y
4.272 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.272 * [taylor]: Taking taylor expansion of x in x
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 1 into 1
4.273 * [backup-simplify]: Simplify (* 1 1) into 1
4.273 * [backup-simplify]: Simplify (/ 1 1) into 1
4.273 * [backup-simplify]: Simplify (+ 1 0) into 1
4.273 * [backup-simplify]: Simplify (+ 1 0) into 1
4.273 * [backup-simplify]: Simplify (* 1 1) into 1
4.274 * [backup-simplify]: Simplify (+ 0 1) into 1
4.274 * [backup-simplify]: Simplify (/ 1 1) into 1
4.274 * [taylor]: Taking taylor expansion of 1 in y
4.274 * [backup-simplify]: Simplify 1 into 1
4.274 * [backup-simplify]: Simplify 1 into 1
4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.275 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.275 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.275 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.275 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (* (/ 1 y) 1)) into 0
4.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.276 * [backup-simplify]: Simplify (+ 0 0) into 0
4.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.277 * [taylor]: Taking taylor expansion of 0 in y
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.278 * [backup-simplify]: Simplify (- 0) into 0
4.278 * [backup-simplify]: Simplify (+ 0 0) into 0
4.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.279 * [backup-simplify]: Simplify (+ 0 0) into 0
4.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (- (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2)))
4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.281 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.281 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
4.281 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.281 * [taylor]: Taking taylor expansion of 2 in y
4.281 * [backup-simplify]: Simplify 2 into 2
4.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.281 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.281 * [taylor]: Taking taylor expansion of y in y
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 1 into 1
4.282 * [backup-simplify]: Simplify (* 1 1) into 1
4.282 * [backup-simplify]: Simplify (/ 1 1) into 1
4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.284 * [backup-simplify]: Simplify (- 0) into 0
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 0 into 0
4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.286 * [backup-simplify]: Simplify (- 0) into 0
4.286 * [backup-simplify]: Simplify (+ 0 0) into 0
4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.287 * [backup-simplify]: Simplify (+ 0 0) into 0
4.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0
4.287 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.289 * [backup-simplify]: Simplify (+ 0 0) into 0
4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
4.290 * [taylor]: Taking taylor expansion of 0 in y
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 1 into 1
4.290 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (- (/ 1 (- x)) (/ 1 (- y)))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
4.290 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0
4.291 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
4.291 * [taylor]: Taking taylor expansion of -1 in y
4.291 * [backup-simplify]: Simplify -1 into -1
4.291 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
4.291 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
4.291 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.291 * [taylor]: Taking taylor expansion of y in y
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify 1 into 1
4.291 * [backup-simplify]: Simplify (/ 1 1) into 1
4.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.291 * [taylor]: Taking taylor expansion of x in y
4.291 * [backup-simplify]: Simplify x into x
4.291 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.291 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
4.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.291 * [taylor]: Taking taylor expansion of x in y
4.291 * [backup-simplify]: Simplify x into x
4.291 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.291 * [taylor]: Taking taylor expansion of y in y
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify 1 into 1
4.291 * [backup-simplify]: Simplify (/ 1 1) into 1
4.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.291 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.291 * [taylor]: Taking taylor expansion of y in y
4.291 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify 1 into 1
4.292 * [backup-simplify]: Simplify (* 1 1) into 1
4.292 * [backup-simplify]: Simplify (/ 1 1) into 1
4.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.292 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.292 * [taylor]: Taking taylor expansion of x in y
4.292 * [backup-simplify]: Simplify x into x
4.292 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.292 * [backup-simplify]: Simplify (+ 1 0) into 1
4.293 * [backup-simplify]: Simplify (+ 0 1) into 1
4.293 * [backup-simplify]: Simplify (* 1 1) into 1
4.293 * [backup-simplify]: Simplify (+ 1 0) into 1
4.293 * [backup-simplify]: Simplify (/ 1 1) into 1
4.293 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
4.293 * [taylor]: Taking taylor expansion of -1 in x
4.293 * [backup-simplify]: Simplify -1 into -1
4.294 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.294 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
4.294 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.294 * [taylor]: Taking taylor expansion of y in x
4.294 * [backup-simplify]: Simplify y into y
4.294 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.294 * [taylor]: Taking taylor expansion of x in x
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [backup-simplify]: Simplify 1 into 1
4.294 * [backup-simplify]: Simplify (/ 1 1) into 1
4.294 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.294 * [taylor]: Taking taylor expansion of x in x
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [backup-simplify]: Simplify 1 into 1
4.294 * [backup-simplify]: Simplify (/ 1 1) into 1
4.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.294 * [taylor]: Taking taylor expansion of y in x
4.294 * [backup-simplify]: Simplify y into y
4.294 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.294 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.294 * [taylor]: Taking taylor expansion of y in x
4.294 * [backup-simplify]: Simplify y into y
4.294 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.295 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.295 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.295 * [taylor]: Taking taylor expansion of x in x
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 1 into 1
4.295 * [backup-simplify]: Simplify (* 1 1) into 1
4.295 * [backup-simplify]: Simplify (/ 1 1) into 1
4.296 * [backup-simplify]: Simplify (- 1) into -1
4.296 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.297 * [backup-simplify]: Simplify (+ 1 0) into 1
4.297 * [backup-simplify]: Simplify (* -1 1) into -1
4.297 * [backup-simplify]: Simplify (+ 0 1) into 1
4.298 * [backup-simplify]: Simplify (/ -1 1) into -1
4.298 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
4.298 * [taylor]: Taking taylor expansion of -1 in x
4.298 * [backup-simplify]: Simplify -1 into -1
4.298 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
4.298 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
4.298 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.298 * [taylor]: Taking taylor expansion of y in x
4.298 * [backup-simplify]: Simplify y into y
4.298 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.298 * [taylor]: Taking taylor expansion of x in x
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [backup-simplify]: Simplify 1 into 1
4.299 * [backup-simplify]: Simplify (/ 1 1) into 1
4.299 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
4.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.299 * [taylor]: Taking taylor expansion of x in x
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 1 into 1
4.299 * [backup-simplify]: Simplify (/ 1 1) into 1
4.299 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.299 * [taylor]: Taking taylor expansion of y in x
4.299 * [backup-simplify]: Simplify y into y
4.299 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.300 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.300 * [taylor]: Taking taylor expansion of y in x
4.300 * [backup-simplify]: Simplify y into y
4.300 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.300 * [taylor]: Taking taylor expansion of x in x
4.300 * [backup-simplify]: Simplify 0 into 0
4.300 * [backup-simplify]: Simplify 1 into 1
4.300 * [backup-simplify]: Simplify (* 1 1) into 1
4.301 * [backup-simplify]: Simplify (/ 1 1) into 1
4.301 * [backup-simplify]: Simplify (- 1) into -1
4.302 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.302 * [backup-simplify]: Simplify (+ 1 0) into 1
4.302 * [backup-simplify]: Simplify (* -1 1) into -1
4.303 * [backup-simplify]: Simplify (+ 0 1) into 1
4.303 * [backup-simplify]: Simplify (/ -1 1) into -1
4.303 * [backup-simplify]: Simplify (* -1 -1) into 1
4.303 * [taylor]: Taking taylor expansion of 1 in y
4.303 * [backup-simplify]: Simplify 1 into 1
4.303 * [backup-simplify]: Simplify 1 into 1
4.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.304 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.305 * [backup-simplify]: Simplify (- 0) into 0
4.305 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.305 * [backup-simplify]: Simplify (+ (* -1 (/ 1 y)) (* (/ 1 y) 1)) into 0
4.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.307 * [taylor]: Taking taylor expansion of 0 in y
4.307 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.308 * [backup-simplify]: Simplify (+ 0 0) into 0
4.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.309 * [backup-simplify]: Simplify (- 0) into 0
4.309 * [backup-simplify]: Simplify (+ 0 0) into 0
4.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
4.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.311 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.311 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
4.312 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
4.312 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.312 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.312 * [taylor]: Taking taylor expansion of 2 in y
4.312 * [backup-simplify]: Simplify 2 into 2
4.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.312 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.312 * [taylor]: Taking taylor expansion of y in y
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify 1 into 1
4.312 * [backup-simplify]: Simplify (* 1 1) into 1
4.313 * [backup-simplify]: Simplify (/ 1 1) into 1
4.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.315 * [backup-simplify]: Simplify (- 0) into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.316 * [backup-simplify]: Simplify (+ 0 0) into 0
4.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.321 * [backup-simplify]: Simplify (- 0) into 0
4.321 * [backup-simplify]: Simplify (+ 0 0) into 0
4.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
4.322 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.323 * [backup-simplify]: Simplify (+ 0 0) into 0
4.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
4.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
4.325 * [taylor]: Taking taylor expansion of 0 in y
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1)
4.325 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
4.325 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
4.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
4.325 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.325 * [taylor]: Taking taylor expansion of y in y
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.325 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.325 * [taylor]: Taking taylor expansion of x in y
4.325 * [backup-simplify]: Simplify x into x
4.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.325 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.325 * [taylor]: Taking taylor expansion of y in x
4.325 * [backup-simplify]: Simplify y into y
4.326 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.326 * [taylor]: Taking taylor expansion of x in x
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
4.326 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.326 * [taylor]: Taking taylor expansion of y in x
4.326 * [backup-simplify]: Simplify y into y
4.326 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.326 * [taylor]: Taking taylor expansion of x in x
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.326 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.326 * [taylor]: Taking taylor expansion of y in y
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.326 * [backup-simplify]: Simplify (+ 0 0) into 0
4.326 * [taylor]: Taking taylor expansion of 0 in y
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.327 * [backup-simplify]: Simplify (* 1 1) into 1
4.327 * [backup-simplify]: Simplify (+ 0 1) into 1
4.327 * [taylor]: Taking taylor expansion of 1 in y
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify (* 1 1) into 1
4.327 * [backup-simplify]: Simplify 1 into 1
4.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.329 * [backup-simplify]: Simplify (+ 0 0) into 0
4.329 * [taylor]: Taking taylor expansion of 0 in y
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.331 * [backup-simplify]: Simplify (+ 0 0) into 0
4.331 * [taylor]: Taking taylor expansion of 0 in y
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
4.331 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.331 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.331 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.331 * [taylor]: Taking taylor expansion of y in y
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 1 into 1
4.331 * [backup-simplify]: Simplify (* 1 1) into 1
4.332 * [backup-simplify]: Simplify (/ 1 1) into 1
4.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.332 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.332 * [taylor]: Taking taylor expansion of x in y
4.332 * [backup-simplify]: Simplify x into x
4.332 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.332 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.332 * [taylor]: Taking taylor expansion of y in x
4.332 * [backup-simplify]: Simplify y into y
4.332 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.332 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.332 * [taylor]: Taking taylor expansion of x in x
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 1 into 1
4.332 * [backup-simplify]: Simplify (* 1 1) into 1
4.333 * [backup-simplify]: Simplify (/ 1 1) into 1
4.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.333 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.333 * [taylor]: Taking taylor expansion of y in x
4.333 * [backup-simplify]: Simplify y into y
4.333 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.333 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.333 * [taylor]: Taking taylor expansion of x in x
4.333 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify 1 into 1
4.333 * [backup-simplify]: Simplify (* 1 1) into 1
4.333 * [backup-simplify]: Simplify (/ 1 1) into 1
4.334 * [backup-simplify]: Simplify (+ 0 1) into 1
4.334 * [taylor]: Taking taylor expansion of 1 in y
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.335 * [backup-simplify]: Simplify (+ 0 0) into 0
4.335 * [taylor]: Taking taylor expansion of 0 in y
4.335 * [backup-simplify]: Simplify 0 into 0
4.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.336 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.336 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.336 * [taylor]: Taking taylor expansion of y in y
4.336 * [backup-simplify]: Simplify 0 into 0
4.336 * [backup-simplify]: Simplify 1 into 1
4.337 * [backup-simplify]: Simplify (* 1 1) into 1
4.337 * [backup-simplify]: Simplify (/ 1 1) into 1
4.337 * [backup-simplify]: Simplify 1 into 1
4.337 * [backup-simplify]: Simplify 1 into 1
4.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.338 * [backup-simplify]: Simplify (+ 0 0) into 0
4.339 * [taylor]: Taking taylor expansion of 0 in y
4.339 * [backup-simplify]: Simplify 0 into 0
4.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.339 * [backup-simplify]: Simplify 0 into 0
4.339 * [backup-simplify]: Simplify 0 into 0
4.339 * [backup-simplify]: Simplify 0 into 0
4.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.342 * [backup-simplify]: Simplify (+ 0 0) into 0
4.342 * [taylor]: Taking taylor expansion of 0 in y
4.342 * [backup-simplify]: Simplify 0 into 0
4.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
4.343 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
4.343 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
4.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
4.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.343 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.343 * [taylor]: Taking taylor expansion of y in y
4.343 * [backup-simplify]: Simplify 0 into 0
4.343 * [backup-simplify]: Simplify 1 into 1
4.344 * [backup-simplify]: Simplify (* 1 1) into 1
4.344 * [backup-simplify]: Simplify (/ 1 1) into 1
4.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.344 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.344 * [taylor]: Taking taylor expansion of y in x
4.344 * [backup-simplify]: Simplify y into y
4.344 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.344 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.344 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.344 * [taylor]: Taking taylor expansion of x in x
4.344 * [backup-simplify]: Simplify 0 into 0
4.344 * [backup-simplify]: Simplify 1 into 1
4.345 * [backup-simplify]: Simplify (* 1 1) into 1
4.345 * [backup-simplify]: Simplify (/ 1 1) into 1
4.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
4.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
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 (* y y) into (pow y 2)
4.345 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1
4.346 * [backup-simplify]: Simplify (/ 1 1) into 1
4.346 * [backup-simplify]: Simplify (+ 0 1) into 1
4.346 * [taylor]: Taking taylor expansion of 1 in y
4.346 * [backup-simplify]: Simplify 1 into 1
4.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.347 * [backup-simplify]: Simplify (+ 0 0) into 0
4.347 * [taylor]: Taking taylor expansion of 0 in y
4.347 * [backup-simplify]: Simplify 0 into 0
4.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.349 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.349 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.349 * [taylor]: Taking taylor expansion of y in y
4.349 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (* 1 1) into 1
4.349 * [backup-simplify]: Simplify (/ 1 1) into 1
4.349 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.351 * [backup-simplify]: Simplify (+ 0 0) into 0
4.351 * [taylor]: Taking taylor expansion of 0 in y
4.351 * [backup-simplify]: Simplify 0 into 0
4.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.352 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify 0 into 0
4.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.354 * [backup-simplify]: Simplify (+ 0 0) into 0
4.354 * [taylor]: Taking taylor expansion of 0 in y
4.354 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify 0 into 0
4.356 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
4.356 * * * [progress]: simplifying candidates
4.358 * [simplify]: Simplifying:
  (- (log (+ (* x x) (* y y))) (+ (log (+ x y)) (log (- x y))))
  (- (log (+ (* x x) (* y y))) (log (* (+ x y) (- x y))))
  (log (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))
  (exp (/ (+ (* x x) (* y 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))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))))
  (* (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (cbrt (/ (+ (* 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) (- x y))))
  (sqrt (/ (+ (* 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)))
  (/ (* (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)) (- x y))
  (/ 1 (* (+ x y) (- x y)))
  (/ (* (+ x y) (- x y)) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (+ x y) (- x y)) (cbrt (+ (* x x) (* y y))))
  (/ (* (+ x y) (- x y)) (sqrt (+ (* x x) (* y y))))
  (/ (* (+ x y) (- x y)) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))))
  (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))))
  (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (* (+ x y) (- (pow x 3) (pow y 3))))
  (/ (+ (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- x y)))
  (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- x y)))
  (* (* (+ x y) (- x y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (* (* (+ x y) (- x y)) (- (* x x) (* y y)))
  (- 1)
  (- (- (log (+ (* x x) (* y y))) (+ (log (+ x y)) (log (- x y)))))
  (- (- (log (+ (* x x) (* y y))) (log (* (+ x y) (- x y)))))
  (- (log (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (- 0 (- (log (+ (* x x) (* y y))) (+ (log (+ x y)) (log (- x y)))))
  (- 0 (- (log (+ (* x x) (* y y))) (log (* (+ x y) (- x y)))))
  (- 0 (log (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (- (log 1) (- (log (+ (* x x) (* y y))) (+ (log (+ x y)) (log (- x y)))))
  (- (log 1) (- (log (+ (* x x) (* y y))) (log (* (+ x y) (- x y)))))
  (- (log 1) (log (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (log (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (exp (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y)))))
  (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y)))))
  (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (* (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))) (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))))
  (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (* (* (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (- 1)
  (- (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))))
  (/ (cbrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ (cbrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ x y)))
  (/ (cbrt 1) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (cbrt 1) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (+ x y)))
  (/ (cbrt 1) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))
  (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) (* y y)))
  (/ (cbrt 1) (/ 1 (* (+ x y) (- x y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3)))))
  (/ (cbrt 1) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ (cbrt 1) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3)))))
  (/ (cbrt 1) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ (cbrt 1) (* (- x y) (+ x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (+ x y) (- (pow x 3) (pow y 3)))))
  (/ (cbrt 1) (+ (* x x) (+ (* y y) (* x y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y)))))
  (/ (cbrt 1) (+ x y))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- x y))))
  (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- x y))))
  (/ (cbrt 1) (- x y))
  (/ (sqrt 1) (* (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))))
  (/ (sqrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ (sqrt 1) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ x y)))
  (/ (sqrt 1) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ (sqrt 1) (/ 1 (+ x y)))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))
  (/ (sqrt 1) (+ (* x x) (* y y)))
  (/ (sqrt 1) (/ 1 (* (+ x y) (- x y))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3)))))
  (/ (sqrt 1) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ (sqrt 1) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3)))))
  (/ (sqrt 1) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ (sqrt 1) (* (- x y) (+ x y)))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (+ x y) (- (pow x 3) (pow y 3)))))
  (/ (sqrt 1) (+ (* x x) (+ (* y y) (* x y))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y)))))
  (/ (sqrt 1) (+ x y))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- x y))))
  (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- x y))))
  (/ (sqrt 1) (- x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ x y)))
  (/ 1 (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ 1 (+ x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 1)
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))
  (/ 1 (+ (* x x) (* y y)))
  (/ 1 (/ 1 (* (+ x y) (- x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3)))))
  (/ 1 (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ 1 (* (+ (* x x) (- (* y y) (* x y))) (+ x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3)))))
  (/ 1 (* (- x y) (+ (* x x) (+ (* y y) (* x y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ 1 (* (- x y) (+ x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- (pow x 3) (pow y 3)))))
  (/ 1 (+ (* x x) (+ (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y)))))
  (/ 1 (+ x y))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- x y))))
  (/ 1 (+ (* x x) (- (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- x y))))
  (/ 1 (- x y))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))
  (/ (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) 1)
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (+ x y) (- x y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ 1 (+ x y)))
  (/ 1 1)
  (/ 1 (+ (* x x) (* y y)))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- (pow x 3) (pow y 3)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (+ (pow x 3) (pow y 3)) (- x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- x y))))
  (/ (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) (cbrt 1))
  (/ (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) (sqrt 1))
  (/ (/ (+ (* x x) (* y y)) (* (+ x y) (- x y))) 1)
  (/ 1 (+ (* x x) (* y 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
  -1
  1
  1
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
4.361 * * [simplify]: iteration 0: 220 enodes
4.454 * * [simplify]: iteration 1: 644 enodes
4.856 * * [simplify]: iteration 2: 4295 enodes
6.231 * * [simplify]: iteration complete: 5000 enodes
6.231 * * [simplify]: Extracting #0: cost 82 inf + 0
6.233 * * [simplify]: Extracting #1: cost 984 inf + 2
6.238 * * [simplify]: Extracting #2: cost 1892 inf + 105
6.244 * * [simplify]: Extracting #3: cost 1589 inf + 3233
6.251 * * [simplify]: Extracting #4: cost 483 inf + 16230
6.261 * * [simplify]: Extracting #5: cost 20 inf + 24431
6.280 * * [simplify]: Extracting #6: cost 0 inf + 24770
6.293 * [simplify]: Simplified to:
  (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (exp (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (/ (pow (+ (* y y) (* x x)) 3) (pow (* (- x y) (+ x y)) 3))
  (/ (pow (+ (* y y) (* x x)) 3) (pow (* (- x y) (+ x y)) 3))
  (* (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (pow (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))) 3)
  (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (- (+ (* y y) (* x x)))
  (- (* (+ y x) (- x y)))
  (/ (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (+ y x))
  (/ (cbrt (+ (* y y) (* x x))) (- x y))
  (/ (sqrt (+ (* y y) (* x x))) (+ y x))
  (/ (sqrt (+ (* y y) (* x x))) (- x y))
  (/ 1 (+ y x))
  (/ (+ (* y y) (* x x)) (- x y))
  (/ 1 (* (- x y) (+ y x)))
  (/ (+ y x) (/ (+ (* y y) (* x x)) (- x y)))
  (/ (+ (* y y) (* x x)) (+ y x))
  (/ (* (- x y) (+ x y)) (cbrt (+ (* y y) (* x x))))
  (/ (+ y x) (/ (sqrt (+ (* y y) (* x x))) (- x y)))
  (/ (+ y x) (/ (+ (* y y) (* x x)) (- x y)))
  (/ (+ (* y y) (* x x)) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))))
  (/ (+ (* y y) (* x x)) (* (* (- x y) (+ x y)) (+ (pow y 3) (pow x 3))))
  (/ (+ (* y y) (* x x)) (* (* (- x y) (+ x y)) (- (pow x 3) (pow y 3))))
  (/ (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))) (* (- x y) (+ x y)))
  (/ (/ (+ (* y y) (* x x)) (- (pow x 3) (pow y 3))) (+ y x))
  (/ (+ (* y y) (* x x)) (* (* (+ y x) (+ y x)) (- x y)))
  (/ (/ (+ (* y y) (* x x)) (+ (pow y 3) (pow x 3))) (- x y))
  (/ (+ (* y y) (* x x)) (* (* (- x y) (+ x y)) (- x y)))
  (* (* (+ (pow x 4) (- (pow y 4) (* (* x y) (* x y)))) (- x y)) (+ y x))
  (* (* (- x y) (- x y)) (* (+ y x) (+ x y)))
  -1
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (- (log (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (pow (exp (* (- x y) (+ x y))) (/ 1 (+ (* y y) (* x x))))
  (/ (pow (* (- x y) (+ x y)) 3) (pow (+ (* y y) (* x x)) 3))
  (/ (pow (* (- x y) (+ x y)) 3) (pow (+ (* y y) (* x x)) 3))
  (/ 1 (pow (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))) 3))
  (* (cbrt (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y))) (cbrt (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y))))
  (cbrt (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y)))
  (pow (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y)) 3)
  (sqrt (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y)))
  (sqrt (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y)))
  -1
  (- (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))
  (/ (/ 1 (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ (* 1 (+ y x)) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (* (/ 1 (cbrt (+ (* y y) (* x x)))) (- x y))
  (/ (* 1 (+ y x)) (sqrt (+ (* y y) (* x x))))
  (* (/ 1 (sqrt (+ (* y y) (* x x)))) (- x y))
  (+ y x)
  (/ (* 1 (- x y)) (+ (* y y) (* x x)))
  1
  (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y))
  (/ 1 (+ (* y y) (* x x)))
  (* (- x y) (+ x y))
  (/ 1 (/ (+ (* y y) (* x x)) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3)))))
  (/ (/ 1 (+ (* x x) (* y (+ y x)))) (+ (* y (- y x)) (* x x)))
  (/ (* 1 (* (* (- x y) (+ x y)) (+ (pow y 3) (pow x 3)))) (+ (* y y) (* x x)))
  (/ (/ 1 (+ (* y (- y x)) (* x x))) (+ y x))
  (* (/ 1 (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))) (- (pow x 3) (pow y 3)))
  (/ (/ 1 (- x y)) (+ (* x x) (* y (+ y x))))
  (/ 1 (/ (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))) (* (- x y) (+ x y))))
  (/ 1 (* (- x y) (+ y x)))
  (/ (* 1 (* (- (pow x 3) (pow y 3)) (+ y x))) (+ (* y y) (* x x)))
  (/ 1 (+ (* x x) (* y (+ y x))))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y)))
  (/ 1 (+ y x))
  (/ (* 1 (* (+ (pow y 3) (pow x 3)) (- x y))) (+ (* y y) (* x x)))
  (/ 1 (+ (* y (- y x)) (* x x)))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (- x y) (+ x y)) (- x y)))
  (/ 1 (- x y))
  (/ (/ 1 (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ (* 1 (+ y x)) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (* (/ 1 (cbrt (+ (* y y) (* x x)))) (- x y))
  (/ (* 1 (+ y x)) (sqrt (+ (* y y) (* x x))))
  (* (/ 1 (sqrt (+ (* y y) (* x x)))) (- x y))
  (+ y x)
  (/ (* 1 (- x y)) (+ (* y y) (* x x)))
  1
  (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y))
  (/ 1 (+ (* y y) (* x x)))
  (* (- x y) (+ x y))
  (/ 1 (/ (+ (* y y) (* x x)) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3)))))
  (/ (/ 1 (+ (* x x) (* y (+ y x)))) (+ (* y (- y x)) (* x x)))
  (/ (* 1 (* (* (- x y) (+ x y)) (+ (pow y 3) (pow x 3)))) (+ (* y y) (* x x)))
  (/ (/ 1 (+ (* y (- y x)) (* x x))) (+ y x))
  (* (/ 1 (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))) (- (pow x 3) (pow y 3)))
  (/ (/ 1 (- x y)) (+ (* x x) (* y (+ y x))))
  (/ 1 (/ (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))) (* (- x y) (+ x y))))
  (/ 1 (* (- x y) (+ y x)))
  (/ (* 1 (* (- (pow x 3) (pow y 3)) (+ y x))) (+ (* y y) (* x x)))
  (/ 1 (+ (* x x) (* y (+ y x))))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y)))
  (/ 1 (+ y x))
  (/ (* 1 (* (+ (pow y 3) (pow x 3)) (- x y))) (+ (* y y) (* x x)))
  (/ 1 (+ (* y (- y x)) (* x x)))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (- x y) (+ x y)) (- x y)))
  (/ 1 (- x y))
  (/ (/ 1 (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ (* 1 (+ y x)) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (* (/ 1 (cbrt (+ (* y y) (* x x)))) (- x y))
  (/ (* 1 (+ y x)) (sqrt (+ (* y y) (* x x))))
  (* (/ 1 (sqrt (+ (* y y) (* x x)))) (- x y))
  (+ y x)
  (/ (* 1 (- x y)) (+ (* y y) (* x x)))
  1
  (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y))
  (/ 1 (+ (* y y) (* x x)))
  (* (- x y) (+ x y))
  (/ 1 (/ (+ (* y y) (* x x)) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3)))))
  (/ (/ 1 (+ (* x x) (* y (+ y x)))) (+ (* y (- y x)) (* x x)))
  (/ (* 1 (* (* (- x y) (+ x y)) (+ (pow y 3) (pow x 3)))) (+ (* y y) (* x x)))
  (/ (/ 1 (+ (* y (- y x)) (* x x))) (+ y x))
  (* (/ 1 (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))) (- (pow x 3) (pow y 3)))
  (/ (/ 1 (- x y)) (+ (* x x) (* y (+ y x))))
  (/ 1 (/ (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))) (* (- x y) (+ x y))))
  (/ 1 (* (- x y) (+ y x)))
  (/ (* 1 (* (- (pow x 3) (pow y 3)) (+ y x))) (+ (* y y) (* x x)))
  (/ 1 (+ (* x x) (* y (+ y x))))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y)))
  (/ 1 (+ y x))
  (/ (* 1 (* (+ (pow y 3) (pow x 3)) (- x y))) (+ (* y y) (* x x)))
  (/ 1 (+ (* y (- y x)) (* x x)))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (- x y) (+ x y)) (- x y)))
  (/ 1 (- x y))
  (* (/ 1 (/ (+ (* y y) (* x x)) (+ y x))) (- x y))
  (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))
  (/ (/ 1 (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))))
  (/ (* 1 (+ y x)) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))))
  (/ (* 1 (+ y x)) (sqrt (+ (* y y) (* x x))))
  (+ y x)
  1
  (/ 1 (+ (* y y) (* x x)))
  (/ 1 (/ (+ (* y y) (* x x)) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3)))))
  (/ (* 1 (* (* (- x y) (+ x y)) (+ (pow y 3) (pow x 3)))) (+ (* y y) (* x x)))
  (* (/ 1 (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))) (- (pow x 3) (pow y 3)))
  (/ 1 (/ (/ (+ (* y y) (* x x)) (* (- x y) (+ x y))) (* (- x y) (+ x y))))
  (/ (* 1 (* (- (pow x 3) (pow y 3)) (+ y x))) (+ (* y y) (* x x)))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y)))
  (/ (* 1 (* (+ (pow y 3) (pow x 3)) (- x y))) (+ (* y y) (* x x)))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (- x y) (+ x y)) (- x y)))
  (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))
  (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))
  (/ (+ (* y y) (* x x)) (* (- x y) (+ x y)))
  (/ 1 (+ (* y y) (* x x)))
  (exp (+ (* y y) (* x x)))
  (log (+ (* y y) (* x x)))
  (exp (+ (* y y) (* x x)))
  (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))
  (cbrt (+ (* y y) (* x x)))
  (pow (+ (* y y) (* x x)) 3)
  (sqrt (+ (* y y) (* x x)))
  (sqrt (+ (* y y) (* x x)))
  (+ (pow x 6) (pow y 6))
  (+ (pow x 4) (- (pow y 4) (* (* x y) (* x y))))
  (- (pow x 4) (pow y 4))
  (* (- x y) (+ x y))
  -1
  1
  1
  -1
  1
  1
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
6.295 * * * [progress]: adding candidates to table
6.829 * * [progress]: iteration 3 / 4
6.829 * * * [progress]: picking best candidate
6.844 * * * * [pick]: Picked  #<alt (λ (x y) -1)>
6.845 * * * [progress]: localizing error
6.845 * * * [progress]: generating rewritten candidates
6.845 * * * [progress]: generating series expansions
6.846 * * * [progress]: simplifying candidates
6.846 * [simplify]: Simplifying:
  
6.846 * * [simplify]: iteration 0: 0 enodes
6.846 * * [simplify]: iteration complete: 0 enodes
6.846 * * [simplify]: Extracting #0: cost 0 inf + 0
6.846 * [simplify]: Simplified to:
  
6.846 * * * [progress]: adding candidates to table
6.846 * * [progress]: iteration 4 / 4
6.847 * * * [progress]: picking best candidate
6.858 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))))>
6.858 * * * [progress]: localizing error
6.911 * * * [progress]: generating rewritten candidates
6.911 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
7.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
7.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
7.953 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2)
8.082 * * * [progress]: generating series expansions
8.082 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
8.083 * [backup-simplify]: Simplify (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) into (/ (* (pow (+ x y) 2) (- x y)) (+ (pow y 2) (pow x 2)))
8.083 * [approximate]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (- x y)) (+ (pow y 2) (pow x 2))) in (y x) around 0
8.083 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (- x y)) (+ (pow y 2) (pow x 2))) in x
8.083 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in x
8.083 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
8.083 * [taylor]: Taking taylor expansion of (+ x y) in x
8.083 * [taylor]: Taking taylor expansion of x in x
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [taylor]: Taking taylor expansion of y in x
8.083 * [backup-simplify]: Simplify y into y
8.083 * [backup-simplify]: Simplify (+ 0 y) into y
8.083 * [taylor]: Taking taylor expansion of (- x y) in x
8.083 * [taylor]: Taking taylor expansion of x in x
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [taylor]: Taking taylor expansion of y in x
8.083 * [backup-simplify]: Simplify y into y
8.083 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.083 * [taylor]: Taking taylor expansion of y in x
8.083 * [backup-simplify]: Simplify y into y
8.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.083 * [taylor]: Taking taylor expansion of x in x
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.084 * [backup-simplify]: Simplify (- y) into (- y)
8.084 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
8.084 * [backup-simplify]: Simplify (* (pow y 2) (- y)) into (* -1 (pow y 3))
8.084 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.084 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.084 * [backup-simplify]: Simplify (/ (* -1 (pow y 3)) (pow y 2)) into (* -1 y)
8.084 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (- x y)) (+ (pow y 2) (pow x 2))) in y
8.084 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in y
8.084 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y
8.084 * [taylor]: Taking taylor expansion of (+ x y) in y
8.084 * [taylor]: Taking taylor expansion of x in y
8.085 * [backup-simplify]: Simplify x into x
8.085 * [taylor]: Taking taylor expansion of y in y
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [backup-simplify]: Simplify (+ x 0) into x
8.085 * [taylor]: Taking taylor expansion of (- x y) in y
8.085 * [taylor]: Taking taylor expansion of x in y
8.085 * [backup-simplify]: Simplify x into x
8.085 * [taylor]: Taking taylor expansion of y in y
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.085 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.085 * [taylor]: Taking taylor expansion of y in y
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.085 * [taylor]: Taking taylor expansion of x in y
8.085 * [backup-simplify]: Simplify x into x
8.085 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.086 * [backup-simplify]: Simplify (- 0) into 0
8.086 * [backup-simplify]: Simplify (+ x 0) into x
8.086 * [backup-simplify]: Simplify (* (pow x 2) x) into (pow x 3)
8.086 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.086 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.087 * [backup-simplify]: Simplify (/ (pow x 3) (pow x 2)) into x
8.087 * [taylor]: Taking taylor expansion of (/ (* (pow (+ x y) 2) (- x y)) (+ (pow y 2) (pow x 2))) in y
8.087 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in y
8.087 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y
8.087 * [taylor]: Taking taylor expansion of (+ x y) in y
8.087 * [taylor]: Taking taylor expansion of x in y
8.087 * [backup-simplify]: Simplify x into x
8.087 * [taylor]: Taking taylor expansion of y in y
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [backup-simplify]: Simplify (+ x 0) into x
8.087 * [taylor]: Taking taylor expansion of (- x y) in y
8.087 * [taylor]: Taking taylor expansion of x in y
8.087 * [backup-simplify]: Simplify x into x
8.087 * [taylor]: Taking taylor expansion of y in y
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.087 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.087 * [taylor]: Taking taylor expansion of y in y
8.087 * [backup-simplify]: Simplify 0 into 0
8.087 * [backup-simplify]: Simplify 1 into 1
8.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.087 * [taylor]: Taking taylor expansion of x in y
8.087 * [backup-simplify]: Simplify x into x
8.087 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.088 * [backup-simplify]: Simplify (- 0) into 0
8.088 * [backup-simplify]: Simplify (+ x 0) into x
8.088 * [backup-simplify]: Simplify (* (pow x 2) x) into (pow x 3)
8.088 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.088 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.088 * [backup-simplify]: Simplify (/ (pow x 3) (pow x 2)) into x
8.088 * [taylor]: Taking taylor expansion of x in x
8.088 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify (- 1) into -1
8.089 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.090 * [backup-simplify]: Simplify (+ 0 1) into 1
8.090 * [backup-simplify]: Simplify (+ (* x 1) (* 1 x)) into (* 2 x)
8.090 * [backup-simplify]: Simplify (+ (* (pow x 2) -1) (* (* 2 x) x)) into (pow x 2)
8.090 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.091 * [backup-simplify]: Simplify (+ 0 0) into 0
8.091 * [backup-simplify]: Simplify (- (/ (pow x 2) (pow x 2)) (+ (* x (/ 0 (pow x 2))))) into 1
8.091 * [taylor]: Taking taylor expansion of 1 in x
8.091 * [backup-simplify]: Simplify 1 into 1
8.091 * [backup-simplify]: Simplify 1 into 1
8.091 * [backup-simplify]: Simplify 1 into 1
8.092 * [backup-simplify]: Simplify (- 0) into 0
8.092 * [backup-simplify]: Simplify (+ 0 0) into 0
8.092 * [backup-simplify]: Simplify (+ 0 0) into 0
8.093 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 x))) into 1
8.093 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* (* 2 x) -1) (* 1 x))) into (- x)
8.094 * [backup-simplify]: Simplify (* 1 1) into 1
8.094 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.095 * [backup-simplify]: Simplify (+ 1 0) into 1
8.095 * [backup-simplify]: Simplify (- (/ (- x) (pow x 2)) (+ (* x (/ 1 (pow x 2))) (* 1 (/ 0 (pow x 2))))) into (- (* 2 (/ 1 x)))
8.095 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x
8.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x
8.095 * [taylor]: Taking taylor expansion of 2 in x
8.095 * [backup-simplify]: Simplify 2 into 2
8.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.096 * [taylor]: Taking taylor expansion of x in x
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify 1 into 1
8.096 * [backup-simplify]: Simplify (/ 1 1) into 1
8.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.098 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.098 * [backup-simplify]: Simplify (- 0) into 0
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify (- 0) into 0
8.099 * [backup-simplify]: Simplify (+ 0 0) into 0
8.099 * [backup-simplify]: Simplify (+ 0 0) into 0
8.100 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0
8.101 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* (* 2 x) 0) (+ (* 1 -1) (* 0 x)))) into (- 1)
8.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.102 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
8.103 * [backup-simplify]: Simplify (+ 0 0) into 0
8.104 * [backup-simplify]: Simplify (- (/ (- 1) (pow x 2)) (+ (* x (/ 0 (pow x 2))) (* 1 (/ 1 (pow x 2))) (* (- (* 2 (/ 1 x))) (/ 0 (pow x 2))))) into (- (* 2 (/ 1 (pow x 2))))
8.104 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x
8.104 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
8.104 * [taylor]: Taking taylor expansion of 2 in x
8.104 * [backup-simplify]: Simplify 2 into 2
8.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.104 * [taylor]: Taking taylor expansion of x in x
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [backup-simplify]: Simplify (* 1 1) into 1
8.105 * [backup-simplify]: Simplify (/ 1 1) into 1
8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.109 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.110 * [backup-simplify]: Simplify (- 0) into 0
8.110 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.112 * [backup-simplify]: Simplify (- 0) into 0
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1 (* 1 y))) into (+ x y)
8.113 * [backup-simplify]: Simplify (* (/ 1 (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
8.113 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
8.113 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.113 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in x
8.113 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
8.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.113 * [taylor]: Taking taylor expansion of x in x
8.113 * [backup-simplify]: Simplify 0 into 0
8.113 * [backup-simplify]: Simplify 1 into 1
8.114 * [backup-simplify]: Simplify (/ 1 1) into 1
8.114 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.114 * [taylor]: Taking taylor expansion of y in x
8.114 * [backup-simplify]: Simplify y into y
8.114 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.114 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
8.114 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
8.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.114 * [taylor]: Taking taylor expansion of x in x
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 1 into 1
8.114 * [backup-simplify]: Simplify (/ 1 1) into 1
8.114 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.114 * [taylor]: Taking taylor expansion of y in x
8.114 * [backup-simplify]: Simplify y into y
8.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.115 * [backup-simplify]: Simplify (+ 1 0) into 1
8.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.115 * [taylor]: Taking taylor expansion of y in x
8.115 * [backup-simplify]: Simplify y into y
8.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.115 * [taylor]: Taking taylor expansion of x in x
8.115 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify (* 1 1) into 1
8.116 * [backup-simplify]: Simplify (/ 1 1) into 1
8.117 * [backup-simplify]: Simplify (+ 1 0) into 1
8.117 * [backup-simplify]: Simplify (* 1 1) into 1
8.117 * [backup-simplify]: Simplify (* 1 1) into 1
8.118 * [backup-simplify]: Simplify (+ 0 1) into 1
8.118 * [backup-simplify]: Simplify (/ 1 1) into 1
8.118 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.118 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in y
8.118 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
8.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.118 * [taylor]: Taking taylor expansion of x in y
8.118 * [backup-simplify]: Simplify x into x
8.118 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.119 * [taylor]: Taking taylor expansion of y in y
8.119 * [backup-simplify]: Simplify 0 into 0
8.119 * [backup-simplify]: Simplify 1 into 1
8.119 * [backup-simplify]: Simplify (/ 1 1) into 1
8.119 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.119 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.119 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.119 * [taylor]: Taking taylor expansion of x in y
8.119 * [backup-simplify]: Simplify x into x
8.119 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.119 * [taylor]: Taking taylor expansion of y in y
8.119 * [backup-simplify]: Simplify 0 into 0
8.119 * [backup-simplify]: Simplify 1 into 1
8.120 * [backup-simplify]: Simplify (/ 1 1) into 1
8.120 * [backup-simplify]: Simplify (+ 0 1) into 1
8.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.120 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.120 * [taylor]: Taking taylor expansion of y in y
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 1 into 1
8.121 * [backup-simplify]: Simplify (* 1 1) into 1
8.121 * [backup-simplify]: Simplify (/ 1 1) into 1
8.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.121 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.121 * [taylor]: Taking taylor expansion of x in y
8.121 * [backup-simplify]: Simplify x into x
8.121 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.121 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.122 * [backup-simplify]: Simplify (- 1) into -1
8.122 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.123 * [backup-simplify]: Simplify (* 1 1) into 1
8.123 * [backup-simplify]: Simplify (* -1 1) into -1
8.123 * [backup-simplify]: Simplify (+ 1 0) into 1
8.124 * [backup-simplify]: Simplify (/ -1 1) into -1
8.124 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.124 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in y
8.124 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
8.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.124 * [taylor]: Taking taylor expansion of x in y
8.124 * [backup-simplify]: Simplify x into x
8.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.124 * [taylor]: Taking taylor expansion of y in y
8.124 * [backup-simplify]: Simplify 0 into 0
8.124 * [backup-simplify]: Simplify 1 into 1
8.125 * [backup-simplify]: Simplify (/ 1 1) into 1
8.125 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.125 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.125 * [taylor]: Taking taylor expansion of x in y
8.125 * [backup-simplify]: Simplify x into x
8.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.125 * [taylor]: Taking taylor expansion of y in y
8.125 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify 1 into 1
8.126 * [backup-simplify]: Simplify (/ 1 1) into 1
8.126 * [backup-simplify]: Simplify (+ 0 1) into 1
8.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.126 * [taylor]: Taking taylor expansion of y in y
8.126 * [backup-simplify]: Simplify 0 into 0
8.126 * [backup-simplify]: Simplify 1 into 1
8.127 * [backup-simplify]: Simplify (* 1 1) into 1
8.127 * [backup-simplify]: Simplify (/ 1 1) into 1
8.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.127 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.127 * [taylor]: Taking taylor expansion of x in y
8.127 * [backup-simplify]: Simplify x into x
8.127 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.128 * [backup-simplify]: Simplify (- 1) into -1
8.128 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.128 * [backup-simplify]: Simplify (* 1 1) into 1
8.129 * [backup-simplify]: Simplify (* -1 1) into -1
8.129 * [backup-simplify]: Simplify (+ 1 0) into 1
8.130 * [backup-simplify]: Simplify (/ -1 1) into -1
8.130 * [taylor]: Taking taylor expansion of -1 in x
8.130 * [backup-simplify]: Simplify -1 into -1
8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.131 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.131 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) 1)) into (* 2 (/ 1 x))
8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (- 0) into 0
8.132 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.132 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 x))) (* (/ 1 x) 1)) into (- (/ 1 x))
8.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.134 * [backup-simplify]: Simplify (+ 0 0) into 0
8.135 * [backup-simplify]: Simplify (- (/ (- (/ 1 x)) 1) (+ (* -1 (/ 0 1)))) into (- (/ 1 x))
8.135 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
8.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.135 * [taylor]: Taking taylor expansion of x in x
8.135 * [backup-simplify]: Simplify 0 into 0
8.135 * [backup-simplify]: Simplify 1 into 1
8.136 * [backup-simplify]: Simplify (/ 1 1) into 1
8.136 * [backup-simplify]: Simplify (- 1) into -1
8.136 * [backup-simplify]: Simplify -1 into -1
8.136 * [backup-simplify]: Simplify -1 into -1
8.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.137 * [backup-simplify]: Simplify (+ 0 0) into 0
8.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2))
8.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.140 * [backup-simplify]: Simplify (- 0) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.141 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow x 2))) (+ (* (/ 1 x) (* 2 (/ 1 x))) (* 0 1))) into (/ 1 (pow x 2))
8.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.144 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 2)) 1) (+ (* -1 (/ (/ 1 (pow x 2)) 1)) (* (- (/ 1 x)) (/ 0 1)))) into (* 2 (/ 1 (pow x 2)))
8.144 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
8.144 * [taylor]: Taking taylor expansion of 2 in x
8.144 * [backup-simplify]: Simplify 2 into 2
8.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.144 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.144 * [taylor]: Taking taylor expansion of x in x
8.144 * [backup-simplify]: Simplify 0 into 0
8.144 * [backup-simplify]: Simplify 1 into 1
8.145 * [backup-simplify]: Simplify (* 1 1) into 1
8.145 * [backup-simplify]: Simplify (/ 1 1) into 1
8.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.147 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.147 * [backup-simplify]: Simplify 0 into 0
8.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.149 * [backup-simplify]: Simplify (- 0) into 0
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.150 * [backup-simplify]: Simplify (+ 0 0) into 0
8.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
8.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.153 * [backup-simplify]: Simplify (- 0) into 0
8.153 * [backup-simplify]: Simplify (+ 0 0) into 0
8.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 x) (/ 1 (pow x 2))) (+ (* 0 (* 2 (/ 1 x))) (* 0 1)))) into (/ 1 (pow x 3))
8.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.156 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.157 * [backup-simplify]: Simplify (+ 0 0) into 0
8.159 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 3)) 1) (+ (* -1 (/ 0 1)) (* (- (/ 1 x)) (/ (/ 1 (pow x 2)) 1)) (* (* 2 (/ 1 (pow x 2))) (/ 0 1)))) into (* 2 (/ 1 (pow x 3)))
8.159 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 3))) in x
8.159 * [taylor]: Taking taylor expansion of 2 in x
8.159 * [backup-simplify]: Simplify 2 into 2
8.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
8.159 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.159 * [taylor]: Taking taylor expansion of x in x
8.159 * [backup-simplify]: Simplify 0 into 0
8.159 * [backup-simplify]: Simplify 1 into 1
8.160 * [backup-simplify]: Simplify (* 1 1) into 1
8.160 * [backup-simplify]: Simplify (* 1 1) into 1
8.160 * [backup-simplify]: Simplify (/ 1 1) into 1
8.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.166 * [backup-simplify]: Simplify 0 into 0
8.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.169 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.170 * [backup-simplify]: Simplify (- 0) into 0
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x y))
8.172 * [backup-simplify]: Simplify (* (/ 1 (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (* (* (+ (/ 1 (- y)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- x)))) (- (/ 1 (- x)) (/ 1 (- y))))) into (/ (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
8.172 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
8.172 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.172 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in x
8.172 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
8.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.172 * [taylor]: Taking taylor expansion of y in x
8.172 * [backup-simplify]: Simplify y into y
8.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.172 * [taylor]: Taking taylor expansion of x in x
8.172 * [backup-simplify]: Simplify 0 into 0
8.172 * [backup-simplify]: Simplify 1 into 1
8.180 * [backup-simplify]: Simplify (/ 1 1) into 1
8.181 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
8.181 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
8.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.181 * [taylor]: Taking taylor expansion of x in x
8.181 * [backup-simplify]: Simplify 0 into 0
8.181 * [backup-simplify]: Simplify 1 into 1
8.182 * [backup-simplify]: Simplify (/ 1 1) into 1
8.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.182 * [taylor]: Taking taylor expansion of y in x
8.182 * [backup-simplify]: Simplify y into y
8.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.182 * [backup-simplify]: Simplify (+ 1 0) into 1
8.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.182 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.182 * [taylor]: Taking taylor expansion of y in x
8.182 * [backup-simplify]: Simplify y into y
8.183 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.183 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.183 * [taylor]: Taking taylor expansion of x in x
8.183 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify 1 into 1
8.183 * [backup-simplify]: Simplify (* 1 1) into 1
8.184 * [backup-simplify]: Simplify (/ 1 1) into 1
8.184 * [backup-simplify]: Simplify (- 1) into -1
8.184 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.185 * [backup-simplify]: Simplify (* 1 1) into 1
8.185 * [backup-simplify]: Simplify (* -1 1) into -1
8.186 * [backup-simplify]: Simplify (+ 0 1) into 1
8.186 * [backup-simplify]: Simplify (/ -1 1) into -1
8.186 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.186 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in y
8.186 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
8.186 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.186 * [taylor]: Taking taylor expansion of y in y
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 1 into 1
8.187 * [backup-simplify]: Simplify (/ 1 1) into 1
8.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.187 * [taylor]: Taking taylor expansion of x in y
8.187 * [backup-simplify]: Simplify x into x
8.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.187 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.187 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.187 * [taylor]: Taking taylor expansion of x in y
8.187 * [backup-simplify]: Simplify x into x
8.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.187 * [taylor]: Taking taylor expansion of y in y
8.187 * [backup-simplify]: Simplify 0 into 0
8.187 * [backup-simplify]: Simplify 1 into 1
8.188 * [backup-simplify]: Simplify (/ 1 1) into 1
8.188 * [backup-simplify]: Simplify (+ 0 1) into 1
8.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.188 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.188 * [taylor]: Taking taylor expansion of y in y
8.188 * [backup-simplify]: Simplify 0 into 0
8.188 * [backup-simplify]: Simplify 1 into 1
8.189 * [backup-simplify]: Simplify (* 1 1) into 1
8.189 * [backup-simplify]: Simplify (/ 1 1) into 1
8.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.189 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.189 * [taylor]: Taking taylor expansion of x in y
8.189 * [backup-simplify]: Simplify x into x
8.189 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.189 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.190 * [backup-simplify]: Simplify (+ 1 0) into 1
8.190 * [backup-simplify]: Simplify (* 1 1) into 1
8.191 * [backup-simplify]: Simplify (* 1 1) into 1
8.191 * [backup-simplify]: Simplify (+ 1 0) into 1
8.191 * [backup-simplify]: Simplify (/ 1 1) into 1
8.191 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.191 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in y
8.191 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
8.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.192 * [taylor]: Taking taylor expansion of y in y
8.192 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify 1 into 1
8.192 * [backup-simplify]: Simplify (/ 1 1) into 1
8.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.192 * [taylor]: Taking taylor expansion of x in y
8.192 * [backup-simplify]: Simplify x into x
8.192 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.192 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.192 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.192 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.192 * [taylor]: Taking taylor expansion of x in y
8.192 * [backup-simplify]: Simplify x into x
8.192 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.192 * [taylor]: Taking taylor expansion of y in y
8.192 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify 1 into 1
8.193 * [backup-simplify]: Simplify (/ 1 1) into 1
8.193 * [backup-simplify]: Simplify (+ 0 1) into 1
8.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.193 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.193 * [taylor]: Taking taylor expansion of y in y
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 1 into 1
8.194 * [backup-simplify]: Simplify (* 1 1) into 1
8.194 * [backup-simplify]: Simplify (/ 1 1) into 1
8.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.194 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.194 * [taylor]: Taking taylor expansion of x in y
8.194 * [backup-simplify]: Simplify x into x
8.194 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.194 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.195 * [backup-simplify]: Simplify (+ 1 0) into 1
8.195 * [backup-simplify]: Simplify (* 1 1) into 1
8.196 * [backup-simplify]: Simplify (* 1 1) into 1
8.196 * [backup-simplify]: Simplify (+ 1 0) into 1
8.196 * [backup-simplify]: Simplify (/ 1 1) into 1
8.197 * [taylor]: Taking taylor expansion of 1 in x
8.197 * [backup-simplify]: Simplify 1 into 1
8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.197 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.198 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) 1)) into (* 2 (/ 1 x))
8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
8.199 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x))
8.199 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 x))) (* (- (/ 1 x)) 1)) into (/ 1 x)
8.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (+ 0 0) into 0
8.201 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x)
8.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.201 * [taylor]: Taking taylor expansion of x in x
8.202 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify 1 into 1
8.202 * [backup-simplify]: Simplify (/ 1 1) into 1
8.202 * [backup-simplify]: Simplify 1 into 1
8.202 * [backup-simplify]: Simplify 1 into 1
8.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.203 * [backup-simplify]: Simplify (+ 0 0) into 0
8.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2))
8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.206 * [backup-simplify]: Simplify (- 0) into 0
8.206 * [backup-simplify]: Simplify (+ 0 0) into 0
8.207 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* (- (/ 1 x)) (* 2 (/ 1 x))) (* 0 1))) into (- (/ 1 (pow x 2)))
8.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.210 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.210 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* (/ 1 x) (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2))))
8.210 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x
8.211 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
8.211 * [taylor]: Taking taylor expansion of 2 in x
8.211 * [backup-simplify]: Simplify 2 into 2
8.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.211 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.211 * [taylor]: Taking taylor expansion of x in x
8.211 * [backup-simplify]: Simplify 0 into 0
8.211 * [backup-simplify]: Simplify 1 into 1
8.211 * [backup-simplify]: Simplify (* 1 1) into 1
8.211 * [backup-simplify]: Simplify (/ 1 1) into 1
8.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.214 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.214 * [backup-simplify]: Simplify (- 0) into 0
8.214 * [backup-simplify]: Simplify 0 into 0
8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.215 * [backup-simplify]: Simplify 0 into 0
8.215 * [backup-simplify]: Simplify 0 into 0
8.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
8.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.219 * [backup-simplify]: Simplify (- 0) into 0
8.219 * [backup-simplify]: Simplify (+ 0 0) into 0
8.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) (/ 1 (pow x 2))) (+ (* 0 (* 2 (/ 1 x))) (* 0 1)))) into (- (/ 1 (pow x 3)))
8.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.223 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.223 * [backup-simplify]: Simplify (+ 0 0) into 0
8.225 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 3))) 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into (- (* 2 (/ 1 (pow x 3))))
8.225 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 3)))) in x
8.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 3))) in x
8.225 * [taylor]: Taking taylor expansion of 2 in x
8.225 * [backup-simplify]: Simplify 2 into 2
8.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
8.225 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.225 * [taylor]: Taking taylor expansion of x in x
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 1 into 1
8.226 * [backup-simplify]: Simplify (* 1 1) into 1
8.226 * [backup-simplify]: Simplify (* 1 1) into 1
8.227 * [backup-simplify]: Simplify (/ 1 1) into 1
8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.233 * [backup-simplify]: Simplify (- 0) into 0
8.233 * [backup-simplify]: Simplify 0 into 0
8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.236 * [backup-simplify]: Simplify (- 0) into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x y))
8.237 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
8.238 * [backup-simplify]: Simplify (/ 1 (+ (* y y) (* x x))) into (/ 1 (+ (pow y 2) (pow x 2)))
8.238 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in (y x) around 0
8.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in x
8.238 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.238 * [taylor]: Taking taylor expansion of y in x
8.238 * [backup-simplify]: Simplify y into y
8.238 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.238 * [taylor]: Taking taylor expansion of x in x
8.238 * [backup-simplify]: Simplify 0 into 0
8.238 * [backup-simplify]: Simplify 1 into 1
8.238 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.238 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
8.238 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.238 * [taylor]: Taking taylor expansion of y in y
8.238 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.239 * [taylor]: Taking taylor expansion of x in y
8.239 * [backup-simplify]: Simplify x into x
8.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.239 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.239 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.239 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
8.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.239 * [taylor]: Taking taylor expansion of y in y
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.239 * [taylor]: Taking taylor expansion of x in y
8.239 * [backup-simplify]: Simplify x into x
8.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.239 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.240 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.240 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.240 * [taylor]: Taking taylor expansion of x in x
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 1 into 1
8.240 * [backup-simplify]: Simplify (* 1 1) into 1
8.241 * [backup-simplify]: Simplify (/ 1 1) into 1
8.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.244 * [backup-simplify]: Simplify (+ 0 0) into 0
8.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.245 * [taylor]: Taking taylor expansion of 0 in x
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 0 into 0
8.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify (* 1 1) into 1
8.248 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.249 * [backup-simplify]: Simplify (+ 1 0) into 1
8.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4)))
8.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x
8.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
8.250 * [taylor]: Taking taylor expansion of (pow x 4) in x
8.250 * [taylor]: Taking taylor expansion of x in x
8.250 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify 1 into 1
8.250 * [backup-simplify]: Simplify (* 1 1) into 1
8.251 * [backup-simplify]: Simplify (* 1 1) into 1
8.251 * [backup-simplify]: Simplify (/ 1 1) into 1
8.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.263 * [backup-simplify]: Simplify (- 0) into 0
8.263 * [backup-simplify]: Simplify 0 into 0
8.263 * [backup-simplify]: Simplify 0 into 0
8.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.264 * [backup-simplify]: Simplify 0 into 0
8.264 * [backup-simplify]: Simplify 0 into 0
8.264 * [backup-simplify]: Simplify (/ 1 (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
8.264 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
8.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.265 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.265 * [taylor]: Taking taylor expansion of y in x
8.265 * [backup-simplify]: Simplify y into y
8.265 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.265 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.265 * [taylor]: Taking taylor expansion of x in x
8.265 * [backup-simplify]: Simplify 0 into 0
8.265 * [backup-simplify]: Simplify 1 into 1
8.265 * [backup-simplify]: Simplify (* 1 1) into 1
8.265 * [backup-simplify]: Simplify (/ 1 1) into 1
8.266 * [backup-simplify]: Simplify (+ 0 1) into 1
8.266 * [backup-simplify]: Simplify (/ 1 1) into 1
8.266 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.266 * [taylor]: Taking taylor expansion of y in y
8.266 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify 1 into 1
8.266 * [backup-simplify]: Simplify (* 1 1) into 1
8.266 * [backup-simplify]: Simplify (/ 1 1) into 1
8.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.266 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.266 * [taylor]: Taking taylor expansion of x in y
8.266 * [backup-simplify]: Simplify x into x
8.266 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.267 * [backup-simplify]: Simplify (+ 1 0) into 1
8.267 * [backup-simplify]: Simplify (/ 1 1) into 1
8.267 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.267 * [taylor]: Taking taylor expansion of y in y
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.267 * [backup-simplify]: Simplify (* 1 1) into 1
8.268 * [backup-simplify]: Simplify (/ 1 1) into 1
8.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.268 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.268 * [taylor]: Taking taylor expansion of x in y
8.268 * [backup-simplify]: Simplify x into x
8.268 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.268 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.268 * [backup-simplify]: Simplify (+ 1 0) into 1
8.268 * [backup-simplify]: Simplify (/ 1 1) into 1
8.268 * [taylor]: Taking taylor expansion of 1 in x
8.268 * [backup-simplify]: Simplify 1 into 1
8.268 * [backup-simplify]: Simplify 0 into 0
8.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.270 * [backup-simplify]: Simplify (+ 0 0) into 0
8.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.270 * [taylor]: Taking taylor expansion of 0 in x
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify 0 into 0
8.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.271 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
8.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
8.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.272 * [taylor]: Taking taylor expansion of x in x
8.272 * [backup-simplify]: Simplify 0 into 0
8.272 * [backup-simplify]: Simplify 1 into 1
8.272 * [backup-simplify]: Simplify (* 1 1) into 1
8.272 * [backup-simplify]: Simplify (/ 1 1) into 1
8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.277 * [backup-simplify]: Simplify (- 0) into 0
8.277 * [backup-simplify]: Simplify 0 into 0
8.277 * [backup-simplify]: Simplify 0 into 0
8.277 * [backup-simplify]: Simplify 0 into 0
8.277 * [backup-simplify]: Simplify 0 into 0
8.277 * [backup-simplify]: Simplify (/ 1 (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
8.277 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
8.277 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.277 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.277 * [taylor]: Taking taylor expansion of y in x
8.277 * [backup-simplify]: Simplify y into y
8.277 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.277 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.277 * [taylor]: Taking taylor expansion of x in x
8.277 * [backup-simplify]: Simplify 0 into 0
8.277 * [backup-simplify]: Simplify 1 into 1
8.278 * [backup-simplify]: Simplify (* 1 1) into 1
8.278 * [backup-simplify]: Simplify (/ 1 1) into 1
8.278 * [backup-simplify]: Simplify (+ 0 1) into 1
8.278 * [backup-simplify]: Simplify (/ 1 1) into 1
8.278 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.278 * [taylor]: Taking taylor expansion of y in y
8.278 * [backup-simplify]: Simplify 0 into 0
8.278 * [backup-simplify]: Simplify 1 into 1
8.279 * [backup-simplify]: Simplify (* 1 1) into 1
8.279 * [backup-simplify]: Simplify (/ 1 1) into 1
8.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.279 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.279 * [taylor]: Taking taylor expansion of x in y
8.279 * [backup-simplify]: Simplify x into x
8.279 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.279 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.279 * [backup-simplify]: Simplify (+ 1 0) into 1
8.280 * [backup-simplify]: Simplify (/ 1 1) into 1
8.280 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.280 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.280 * [taylor]: Taking taylor expansion of y in y
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 1 into 1
8.280 * [backup-simplify]: Simplify (* 1 1) into 1
8.280 * [backup-simplify]: Simplify (/ 1 1) into 1
8.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.280 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.280 * [taylor]: Taking taylor expansion of x in y
8.280 * [backup-simplify]: Simplify x into x
8.280 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.280 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.281 * [backup-simplify]: Simplify (+ 1 0) into 1
8.281 * [backup-simplify]: Simplify (/ 1 1) into 1
8.281 * [taylor]: Taking taylor expansion of 1 in x
8.281 * [backup-simplify]: Simplify 1 into 1
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.282 * [backup-simplify]: Simplify (+ 0 0) into 0
8.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.283 * [taylor]: Taking taylor expansion of 0 in x
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.284 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2)))
8.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
8.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.284 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.284 * [taylor]: Taking taylor expansion of x in x
8.284 * [backup-simplify]: Simplify 0 into 0
8.284 * [backup-simplify]: Simplify 1 into 1
8.285 * [backup-simplify]: Simplify (* 1 1) into 1
8.285 * [backup-simplify]: Simplify (/ 1 1) into 1
8.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.289 * [backup-simplify]: Simplify (- 0) into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * * * * [progress]: [ 3 / 4 ] generating series at (2)
8.290 * [backup-simplify]: Simplify (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))) into (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2)))
8.290 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in (y x) around 0
8.290 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in x
8.290 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
8.290 * [taylor]: Taking taylor expansion of (+ x y) in x
8.290 * [taylor]: Taking taylor expansion of x in x
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 1 into 1
8.290 * [taylor]: Taking taylor expansion of y in x
8.290 * [backup-simplify]: Simplify y into y
8.290 * [taylor]: Taking taylor expansion of (- x y) in x
8.290 * [taylor]: Taking taylor expansion of x in x
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 1 into 1
8.290 * [taylor]: Taking taylor expansion of y in x
8.290 * [backup-simplify]: Simplify y into y
8.290 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
8.290 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.290 * [taylor]: Taking taylor expansion of y in x
8.290 * [backup-simplify]: Simplify y into y
8.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.290 * [taylor]: Taking taylor expansion of x in x
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 1 into 1
8.290 * [backup-simplify]: Simplify (+ 0 y) into y
8.290 * [backup-simplify]: Simplify (- y) into (- y)
8.290 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
8.290 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
8.290 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.290 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.290 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
8.290 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
8.290 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
8.290 * [taylor]: Taking taylor expansion of (+ x y) in y
8.291 * [taylor]: Taking taylor expansion of x in y
8.291 * [backup-simplify]: Simplify x into x
8.291 * [taylor]: Taking taylor expansion of y in y
8.291 * [backup-simplify]: Simplify 0 into 0
8.291 * [backup-simplify]: Simplify 1 into 1
8.291 * [taylor]: Taking taylor expansion of (- x y) in y
8.291 * [taylor]: Taking taylor expansion of x in y
8.291 * [backup-simplify]: Simplify x into x
8.291 * [taylor]: Taking taylor expansion of y in y
8.291 * [backup-simplify]: Simplify 0 into 0
8.291 * [backup-simplify]: Simplify 1 into 1
8.291 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.291 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.291 * [taylor]: Taking taylor expansion of y in y
8.291 * [backup-simplify]: Simplify 0 into 0
8.291 * [backup-simplify]: Simplify 1 into 1
8.291 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.291 * [taylor]: Taking taylor expansion of x in y
8.291 * [backup-simplify]: Simplify x into x
8.291 * [backup-simplify]: Simplify (+ x 0) into x
8.291 * [backup-simplify]: Simplify (- 0) into 0
8.291 * [backup-simplify]: Simplify (+ x 0) into x
8.291 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.291 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.291 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.291 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
8.291 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow y 2) (pow x 2))) in y
8.291 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
8.291 * [taylor]: Taking taylor expansion of (+ x y) in y
8.291 * [taylor]: Taking taylor expansion of x in y
8.291 * [backup-simplify]: Simplify x into x
8.291 * [taylor]: Taking taylor expansion of y in y
8.291 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 1 into 1
8.292 * [taylor]: Taking taylor expansion of (- x y) in y
8.292 * [taylor]: Taking taylor expansion of x in y
8.292 * [backup-simplify]: Simplify x into x
8.292 * [taylor]: Taking taylor expansion of y in y
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 1 into 1
8.292 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
8.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.292 * [taylor]: Taking taylor expansion of y in y
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 1 into 1
8.292 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.292 * [taylor]: Taking taylor expansion of x in y
8.292 * [backup-simplify]: Simplify x into x
8.292 * [backup-simplify]: Simplify (+ x 0) into x
8.292 * [backup-simplify]: Simplify (- 0) into 0
8.292 * [backup-simplify]: Simplify (+ x 0) into x
8.292 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.292 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.292 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
8.292 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
8.292 * [taylor]: Taking taylor expansion of 1 in x
8.292 * [backup-simplify]: Simplify 1 into 1
8.292 * [backup-simplify]: Simplify 1 into 1
8.293 * [backup-simplify]: Simplify (- 1) into -1
8.293 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.293 * [backup-simplify]: Simplify (+ 0 1) into 1
8.293 * [backup-simplify]: Simplify (+ (* x -1) (* 1 x)) into 0
8.293 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.294 * [backup-simplify]: Simplify (+ 0 0) into 0
8.294 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))))) into 0
8.294 * [taylor]: Taking taylor expansion of 0 in x
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify (- 0) into 0
8.294 * [backup-simplify]: Simplify (+ 0 0) into 0
8.295 * [backup-simplify]: Simplify (+ 0 0) into 0
8.295 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 -1) (* 0 x))) into (- 1)
8.295 * [backup-simplify]: Simplify (* 1 1) into 1
8.296 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.296 * [backup-simplify]: Simplify (+ 1 0) into 1
8.297 * [backup-simplify]: Simplify (- (/ (- 1) (pow x 2)) (+ (* 1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 2 (/ 1 (pow x 2))))
8.297 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x
8.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
8.297 * [taylor]: Taking taylor expansion of 2 in x
8.297 * [backup-simplify]: Simplify 2 into 2
8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.297 * [taylor]: Taking taylor expansion of x in x
8.297 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify 1 into 1
8.298 * [backup-simplify]: Simplify (* 1 1) into 1
8.298 * [backup-simplify]: Simplify (/ 1 1) into 1
8.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.302 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.303 * [backup-simplify]: Simplify (- 0) into 0
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify (- 0) into 0
8.304 * [backup-simplify]: Simplify (+ 0 0) into 0
8.304 * [backup-simplify]: Simplify (+ 0 0) into 0
8.305 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 -1) (* 0 x)))) into 0
8.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.307 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
8.307 * [backup-simplify]: Simplify (+ 0 0) into 0
8.308 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 (pow x 2))))) into 0
8.308 * [taylor]: Taking taylor expansion of 0 in x
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 1 into 1
8.309 * [backup-simplify]: Simplify (* (* (/ 1 (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y)))) (/ 1 (+ (/ 1 y) (/ 1 x)))) into (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
8.309 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0
8.309 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.309 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in x
8.309 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
8.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.309 * [taylor]: Taking taylor expansion of x in x
8.309 * [backup-simplify]: Simplify 0 into 0
8.309 * [backup-simplify]: Simplify 1 into 1
8.314 * [backup-simplify]: Simplify (/ 1 1) into 1
8.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.314 * [taylor]: Taking taylor expansion of y in x
8.314 * [backup-simplify]: Simplify y into y
8.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.314 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
8.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.314 * [taylor]: Taking taylor expansion of x in x
8.314 * [backup-simplify]: Simplify 0 into 0
8.314 * [backup-simplify]: Simplify 1 into 1
8.315 * [backup-simplify]: Simplify (/ 1 1) into 1
8.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.316 * [taylor]: Taking taylor expansion of y in x
8.316 * [backup-simplify]: Simplify y into y
8.316 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.316 * [taylor]: Taking taylor expansion of y in x
8.316 * [backup-simplify]: Simplify y into y
8.316 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.316 * [taylor]: Taking taylor expansion of x in x
8.316 * [backup-simplify]: Simplify 0 into 0
8.316 * [backup-simplify]: Simplify 1 into 1
8.317 * [backup-simplify]: Simplify (* 1 1) into 1
8.317 * [backup-simplify]: Simplify (/ 1 1) into 1
8.317 * [backup-simplify]: Simplify (+ 1 0) into 1
8.318 * [backup-simplify]: Simplify (+ 1 0) into 1
8.318 * [backup-simplify]: Simplify (* 1 1) into 1
8.319 * [backup-simplify]: Simplify (+ 0 1) into 1
8.319 * [backup-simplify]: Simplify (/ 1 1) into 1
8.319 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y
8.319 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.319 * [taylor]: Taking taylor expansion of x in y
8.319 * [backup-simplify]: Simplify x into x
8.319 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.319 * [taylor]: Taking taylor expansion of y in y
8.319 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify 1 into 1
8.320 * [backup-simplify]: Simplify (/ 1 1) into 1
8.320 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
8.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.320 * [taylor]: Taking taylor expansion of x in y
8.320 * [backup-simplify]: Simplify x into x
8.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.320 * [taylor]: Taking taylor expansion of y in y
8.320 * [backup-simplify]: Simplify 0 into 0
8.320 * [backup-simplify]: Simplify 1 into 1
8.321 * [backup-simplify]: Simplify (/ 1 1) into 1
8.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.321 * [taylor]: Taking taylor expansion of y in y
8.321 * [backup-simplify]: Simplify 0 into 0
8.321 * [backup-simplify]: Simplify 1 into 1
8.321 * [backup-simplify]: Simplify (* 1 1) into 1
8.322 * [backup-simplify]: Simplify (/ 1 1) into 1
8.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.322 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.322 * [taylor]: Taking taylor expansion of x in y
8.322 * [backup-simplify]: Simplify x into x
8.322 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.322 * [backup-simplify]: Simplify (+ 0 1) into 1
8.323 * [backup-simplify]: Simplify (- 1) into -1
8.323 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.324 * [backup-simplify]: Simplify (* 1 -1) into -1
8.324 * [backup-simplify]: Simplify (+ 1 0) into 1
8.324 * [backup-simplify]: Simplify (/ -1 1) into -1
8.324 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.324 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (- (/ 1 x) (/ 1 y))) in y
8.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.325 * [taylor]: Taking taylor expansion of x in y
8.325 * [backup-simplify]: Simplify x into x
8.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.325 * [taylor]: Taking taylor expansion of y in y
8.325 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify 1 into 1
8.325 * [backup-simplify]: Simplify (/ 1 1) into 1
8.325 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
8.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.325 * [taylor]: Taking taylor expansion of x in y
8.325 * [backup-simplify]: Simplify x into x
8.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.325 * [taylor]: Taking taylor expansion of y in y
8.325 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify 1 into 1
8.326 * [backup-simplify]: Simplify (/ 1 1) into 1
8.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.326 * [taylor]: Taking taylor expansion of y in y
8.326 * [backup-simplify]: Simplify 0 into 0
8.326 * [backup-simplify]: Simplify 1 into 1
8.326 * [backup-simplify]: Simplify (* 1 1) into 1
8.327 * [backup-simplify]: Simplify (/ 1 1) into 1
8.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.327 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.327 * [taylor]: Taking taylor expansion of x in y
8.327 * [backup-simplify]: Simplify x into x
8.327 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.327 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.327 * [backup-simplify]: Simplify (+ 0 1) into 1
8.328 * [backup-simplify]: Simplify (- 1) into -1
8.328 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.329 * [backup-simplify]: Simplify (* 1 -1) into -1
8.329 * [backup-simplify]: Simplify (+ 1 0) into 1
8.330 * [backup-simplify]: Simplify (/ -1 1) into -1
8.330 * [taylor]: Taking taylor expansion of -1 in x
8.330 * [backup-simplify]: Simplify -1 into -1
8.330 * [backup-simplify]: Simplify -1 into -1
8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.331 * [backup-simplify]: Simplify (- 0) into 0
8.331 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.332 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.332 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) -1)) into 0
8.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.334 * [backup-simplify]: Simplify (+ 0 0) into 0
8.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.335 * [taylor]: Taking taylor expansion of 0 in x
8.335 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.336 * [backup-simplify]: Simplify (- 0) into 0
8.337 * [backup-simplify]: Simplify (+ 0 0) into 0
8.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.338 * [backup-simplify]: Simplify (+ 0 0) into 0
8.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 -1))) into (/ 1 (pow x 2))
8.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.341 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.342 * [backup-simplify]: Simplify (- (/ (/ 1 (pow x 2)) 1) (+ (* -1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow x 2)))
8.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
8.342 * [taylor]: Taking taylor expansion of 2 in x
8.342 * [backup-simplify]: Simplify 2 into 2
8.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.342 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.342 * [taylor]: Taking taylor expansion of x in x
8.342 * [backup-simplify]: Simplify 0 into 0
8.342 * [backup-simplify]: Simplify 1 into 1
8.342 * [backup-simplify]: Simplify (* 1 1) into 1
8.343 * [backup-simplify]: Simplify (/ 1 1) into 1
8.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.347 * [backup-simplify]: Simplify 0 into 0
8.347 * [backup-simplify]: Simplify 0 into 0
8.347 * [backup-simplify]: Simplify 0 into 0
8.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.349 * [backup-simplify]: Simplify (- 0) into 0
8.349 * [backup-simplify]: Simplify (+ 0 0) into 0
8.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.350 * [backup-simplify]: Simplify (+ 0 0) into 0
8.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 -1)))) into 0
8.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.354 * [backup-simplify]: Simplify (+ 0 0) into 0
8.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (* 2 (/ 1 (pow x 2))) (/ 0 1)))) into 0
8.356 * [taylor]: Taking taylor expansion of 0 in x
8.356 * [backup-simplify]: Simplify 0 into 0
8.356 * [backup-simplify]: Simplify 0 into 0
8.356 * [backup-simplify]: Simplify -1 into -1
8.357 * [backup-simplify]: Simplify (* (* (/ 1 (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) (* (* (+ (/ 1 (- y)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- x)))) (- (/ 1 (- x)) (/ 1 (- y))))) (/ 1 (+ (/ 1 (- y)) (/ 1 (- x))))) into (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))
8.357 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0
8.357 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
8.357 * [taylor]: Taking taylor expansion of -1 in x
8.357 * [backup-simplify]: Simplify -1 into -1
8.357 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
8.357 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in x
8.357 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
8.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.357 * [taylor]: Taking taylor expansion of y in x
8.358 * [backup-simplify]: Simplify y into y
8.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.358 * [taylor]: Taking taylor expansion of x in x
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.358 * [backup-simplify]: Simplify (/ 1 1) into 1
8.358 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
8.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.358 * [taylor]: Taking taylor expansion of x in x
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.359 * [backup-simplify]: Simplify (/ 1 1) into 1
8.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.359 * [taylor]: Taking taylor expansion of y in x
8.359 * [backup-simplify]: Simplify y into y
8.359 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
8.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.359 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.359 * [taylor]: Taking taylor expansion of y in x
8.359 * [backup-simplify]: Simplify y into y
8.359 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.359 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.359 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.359 * [taylor]: Taking taylor expansion of x in x
8.359 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify 1 into 1
8.360 * [backup-simplify]: Simplify (* 1 1) into 1
8.360 * [backup-simplify]: Simplify (/ 1 1) into 1
8.360 * [backup-simplify]: Simplify (- 1) into -1
8.361 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.361 * [backup-simplify]: Simplify (+ 1 0) into 1
8.362 * [backup-simplify]: Simplify (* -1 1) into -1
8.362 * [backup-simplify]: Simplify (+ 0 1) into 1
8.362 * [backup-simplify]: Simplify (/ -1 1) into -1
8.363 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.363 * [taylor]: Taking taylor expansion of -1 in y
8.363 * [backup-simplify]: Simplify -1 into -1
8.363 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.363 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
8.363 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
8.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.363 * [taylor]: Taking taylor expansion of y in y
8.363 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify 1 into 1
8.363 * [backup-simplify]: Simplify (/ 1 1) into 1
8.363 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.363 * [taylor]: Taking taylor expansion of x in y
8.363 * [backup-simplify]: Simplify x into x
8.363 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.363 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.363 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.363 * [taylor]: Taking taylor expansion of x in y
8.363 * [backup-simplify]: Simplify x into x
8.363 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.364 * [taylor]: Taking taylor expansion of y in y
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (/ 1 1) into 1
8.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.364 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.364 * [taylor]: Taking taylor expansion of y in y
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.365 * [backup-simplify]: Simplify (* 1 1) into 1
8.365 * [backup-simplify]: Simplify (/ 1 1) into 1
8.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.365 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.365 * [taylor]: Taking taylor expansion of x in y
8.365 * [backup-simplify]: Simplify x into x
8.365 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.365 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.366 * [backup-simplify]: Simplify (+ 1 0) into 1
8.366 * [backup-simplify]: Simplify (+ 0 1) into 1
8.366 * [backup-simplify]: Simplify (* 1 1) into 1
8.367 * [backup-simplify]: Simplify (+ 1 0) into 1
8.367 * [backup-simplify]: Simplify (/ 1 1) into 1
8.367 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
8.367 * [taylor]: Taking taylor expansion of -1 in y
8.367 * [backup-simplify]: Simplify -1 into -1
8.367 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
8.367 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (+ (/ 1 x) (/ 1 y))) in y
8.367 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
8.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.368 * [taylor]: Taking taylor expansion of y in y
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify 1 into 1
8.368 * [backup-simplify]: Simplify (/ 1 1) into 1
8.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.368 * [taylor]: Taking taylor expansion of x in y
8.368 * [backup-simplify]: Simplify x into x
8.368 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.368 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.368 * [taylor]: Taking taylor expansion of x in y
8.368 * [backup-simplify]: Simplify x into x
8.368 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.368 * [taylor]: Taking taylor expansion of y in y
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify 1 into 1
8.369 * [backup-simplify]: Simplify (/ 1 1) into 1
8.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
8.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.369 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.369 * [taylor]: Taking taylor expansion of y in y
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify 1 into 1
8.369 * [backup-simplify]: Simplify (* 1 1) into 1
8.370 * [backup-simplify]: Simplify (/ 1 1) into 1
8.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.370 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.370 * [taylor]: Taking taylor expansion of x in y
8.370 * [backup-simplify]: Simplify x into x
8.370 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.370 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.370 * [backup-simplify]: Simplify (+ 1 0) into 1
8.371 * [backup-simplify]: Simplify (+ 0 1) into 1
8.371 * [backup-simplify]: Simplify (* 1 1) into 1
8.372 * [backup-simplify]: Simplify (+ 1 0) into 1
8.372 * [backup-simplify]: Simplify (/ 1 1) into 1
8.373 * [backup-simplify]: Simplify (* -1 1) into -1
8.373 * [taylor]: Taking taylor expansion of -1 in x
8.373 * [backup-simplify]: Simplify -1 into -1
8.373 * [backup-simplify]: Simplify -1 into -1
8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.374 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.374 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
8.375 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x))
8.375 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (- (/ 1 x)) 1)) into 0
8.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.377 * [backup-simplify]: Simplify (+ 0 0) into 0
8.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
8.378 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
8.378 * [taylor]: Taking taylor expansion of 0 in x
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.380 * [backup-simplify]: Simplify (+ 0 0) into 0
8.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.381 * [backup-simplify]: Simplify (- 0) into 0
8.382 * [backup-simplify]: Simplify (+ 0 0) into 0
8.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) (/ 1 x)) (* 0 1))) into (- (/ 1 (pow x 2)))
8.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.385 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
8.386 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2))))
8.387 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1))) into (* 2 (/ 1 (pow x 2)))
8.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x
8.387 * [taylor]: Taking taylor expansion of 2 in x
8.387 * [backup-simplify]: Simplify 2 into 2
8.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.387 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.387 * [taylor]: Taking taylor expansion of x in x
8.387 * [backup-simplify]: Simplify 0 into 0
8.387 * [backup-simplify]: Simplify 1 into 1
8.387 * [backup-simplify]: Simplify (* 1 1) into 1
8.388 * [backup-simplify]: Simplify (/ 1 1) into 1
8.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.392 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.392 * [backup-simplify]: Simplify 0 into 0
8.392 * [backup-simplify]: Simplify 0 into 0
8.392 * [backup-simplify]: Simplify 0 into 0
8.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.394 * [backup-simplify]: Simplify (+ 0 0) into 0
8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.396 * [backup-simplify]: Simplify (- 0) into 0
8.396 * [backup-simplify]: Simplify (+ 0 0) into 0
8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
8.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.399 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.400 * [backup-simplify]: Simplify (+ 0 0) into 0
8.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0
8.404 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow x 2))))) (+ (* 0 0) (* 0 1)))) into 0
8.404 * [taylor]: Taking taylor expansion of 0 in x
8.404 * [backup-simplify]: Simplify 0 into 0
8.404 * [backup-simplify]: Simplify 0 into 0
8.404 * [backup-simplify]: Simplify -1 into -1
8.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2)
8.404 * [backup-simplify]: Simplify (* (* (+ y x) (+ y x)) (- x y)) into (* (pow (+ x y) 2) (- x y))
8.404 * [approximate]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in (y x) around 0
8.405 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in x
8.405 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
8.405 * [taylor]: Taking taylor expansion of (+ x y) in x
8.405 * [taylor]: Taking taylor expansion of x in x
8.405 * [backup-simplify]: Simplify 0 into 0
8.405 * [backup-simplify]: Simplify 1 into 1
8.405 * [taylor]: Taking taylor expansion of y in x
8.405 * [backup-simplify]: Simplify y into y
8.405 * [backup-simplify]: Simplify (+ 0 y) into y
8.405 * [taylor]: Taking taylor expansion of (- x y) in x
8.405 * [taylor]: Taking taylor expansion of x in x
8.405 * [backup-simplify]: Simplify 0 into 0
8.405 * [backup-simplify]: Simplify 1 into 1
8.405 * [taylor]: Taking taylor expansion of y in x
8.405 * [backup-simplify]: Simplify y into y
8.405 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in y
8.405 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y
8.405 * [taylor]: Taking taylor expansion of (+ x y) in y
8.405 * [taylor]: Taking taylor expansion of x in y
8.405 * [backup-simplify]: Simplify x into x
8.405 * [taylor]: Taking taylor expansion of y in y
8.405 * [backup-simplify]: Simplify 0 into 0
8.405 * [backup-simplify]: Simplify 1 into 1
8.405 * [backup-simplify]: Simplify (+ x 0) into x
8.405 * [taylor]: Taking taylor expansion of (- x y) in y
8.405 * [taylor]: Taking taylor expansion of x in y
8.405 * [backup-simplify]: Simplify x into x
8.405 * [taylor]: Taking taylor expansion of y in y
8.405 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify 1 into 1
8.406 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in y
8.406 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y
8.406 * [taylor]: Taking taylor expansion of (+ x y) in y
8.406 * [taylor]: Taking taylor expansion of x in y
8.406 * [backup-simplify]: Simplify x into x
8.406 * [taylor]: Taking taylor expansion of y in y
8.406 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify 1 into 1
8.406 * [backup-simplify]: Simplify (+ x 0) into x
8.406 * [taylor]: Taking taylor expansion of (- x y) in y
8.406 * [taylor]: Taking taylor expansion of x in y
8.406 * [backup-simplify]: Simplify x into x
8.406 * [taylor]: Taking taylor expansion of y in y
8.406 * [backup-simplify]: Simplify 0 into 0
8.406 * [backup-simplify]: Simplify 1 into 1
8.406 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.407 * [backup-simplify]: Simplify (- 0) into 0
8.407 * [backup-simplify]: Simplify (+ x 0) into x
8.407 * [backup-simplify]: Simplify (* (pow x 2) x) into (pow x 3)
8.407 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.407 * [taylor]: Taking taylor expansion of x in x
8.407 * [backup-simplify]: Simplify 0 into 0
8.407 * [backup-simplify]: Simplify 1 into 1
8.408 * [backup-simplify]: Simplify (- 1) into -1
8.408 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.409 * [backup-simplify]: Simplify (+ 0 1) into 1
8.409 * [backup-simplify]: Simplify (+ (* x 1) (* 1 x)) into (* 2 x)
8.409 * [backup-simplify]: Simplify (+ (* (pow x 2) -1) (* (* 2 x) x)) into (pow x 2)
8.409 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.409 * [taylor]: Taking taylor expansion of x in x
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify 1 into 1
8.410 * [backup-simplify]: Simplify (- 0) into 0
8.410 * [backup-simplify]: Simplify (+ 0 0) into 0
8.410 * [backup-simplify]: Simplify (+ 0 0) into 0
8.411 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 1) (* 0 x))) into 1
8.411 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* (* 2 x) -1) (* 1 x))) into (- x)
8.411 * [taylor]: Taking taylor expansion of (- x) in x
8.411 * [taylor]: Taking taylor expansion of x in x
8.411 * [backup-simplify]: Simplify 0 into 0
8.411 * [backup-simplify]: Simplify 1 into 1
8.412 * [backup-simplify]: Simplify (- 0) into 0
8.412 * [backup-simplify]: Simplify 0 into 0
8.412 * [backup-simplify]: Simplify (- 0) into 0
8.412 * [backup-simplify]: Simplify (+ 0 0) into 0
8.413 * [backup-simplify]: Simplify (+ 0 0) into 0
8.414 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0
8.415 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* (* 2 x) 0) (+ (* 1 -1) (* 0 x)))) into (- 1)
8.415 * [taylor]: Taking taylor expansion of (- 1) in x
8.415 * [taylor]: Taking taylor expansion of 1 in x
8.415 * [backup-simplify]: Simplify 1 into 1
8.415 * [backup-simplify]: Simplify (- 1) into -1
8.415 * [backup-simplify]: Simplify -1 into -1
8.415 * [backup-simplify]: Simplify (- 1) into -1
8.415 * [backup-simplify]: Simplify -1 into -1
8.415 * [backup-simplify]: Simplify (* 1 1) into 1
8.415 * [backup-simplify]: Simplify 1 into 1
8.416 * [backup-simplify]: Simplify (+ (* 1 (* (pow x 2) y)) (+ (* -1 (* x (pow y 2))) (* -1 (pow (* 1 y) 3)))) into (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3)))
8.416 * [backup-simplify]: Simplify (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) into (* (pow (+ (/ 1 x) (/ 1 y)) 2) (- (/ 1 x) (/ 1 y)))
8.416 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 x) (/ 1 y)) 2) (- (/ 1 x) (/ 1 y))) in (y x) around 0
8.416 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 x) (/ 1 y)) 2) (- (/ 1 x) (/ 1 y))) in x
8.416 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
8.416 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
8.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.416 * [taylor]: Taking taylor expansion of x in x
8.416 * [backup-simplify]: Simplify 0 into 0
8.416 * [backup-simplify]: Simplify 1 into 1
8.416 * [backup-simplify]: Simplify (/ 1 1) into 1
8.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.416 * [taylor]: Taking taylor expansion of y in x
8.416 * [backup-simplify]: Simplify y into y
8.417 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.417 * [backup-simplify]: Simplify (+ 1 0) into 1
8.417 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
8.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.417 * [taylor]: Taking taylor expansion of x in x
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [backup-simplify]: Simplify 1 into 1
8.417 * [backup-simplify]: Simplify (/ 1 1) into 1
8.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.417 * [taylor]: Taking taylor expansion of y in x
8.417 * [backup-simplify]: Simplify y into y
8.417 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.417 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 x) (/ 1 y)) 2) (- (/ 1 x) (/ 1 y))) in y
8.417 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.417 * [taylor]: Taking taylor expansion of x in y
8.417 * [backup-simplify]: Simplify x into x
8.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.417 * [taylor]: Taking taylor expansion of y in y
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [backup-simplify]: Simplify 1 into 1
8.418 * [backup-simplify]: Simplify (/ 1 1) into 1
8.418 * [backup-simplify]: Simplify (+ 0 1) into 1
8.418 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
8.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.418 * [taylor]: Taking taylor expansion of x in y
8.418 * [backup-simplify]: Simplify x into x
8.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.418 * [taylor]: Taking taylor expansion of y in y
8.418 * [backup-simplify]: Simplify 0 into 0
8.418 * [backup-simplify]: Simplify 1 into 1
8.418 * [backup-simplify]: Simplify (/ 1 1) into 1
8.418 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 x) (/ 1 y)) 2) (- (/ 1 x) (/ 1 y))) in y
8.418 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.418 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.418 * [taylor]: Taking taylor expansion of x in y
8.418 * [backup-simplify]: Simplify x into x
8.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.418 * [taylor]: Taking taylor expansion of y in y
8.418 * [backup-simplify]: Simplify 0 into 0
8.418 * [backup-simplify]: Simplify 1 into 1
8.419 * [backup-simplify]: Simplify (/ 1 1) into 1
8.419 * [backup-simplify]: Simplify (+ 0 1) into 1
8.419 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
8.419 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.419 * [taylor]: Taking taylor expansion of x in y
8.419 * [backup-simplify]: Simplify x into x
8.419 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.419 * [taylor]: Taking taylor expansion of y in y
8.419 * [backup-simplify]: Simplify 0 into 0
8.419 * [backup-simplify]: Simplify 1 into 1
8.419 * [backup-simplify]: Simplify (/ 1 1) into 1
8.420 * [backup-simplify]: Simplify (* 1 1) into 1
8.420 * [backup-simplify]: Simplify (- 1) into -1
8.420 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.420 * [backup-simplify]: Simplify (* 1 -1) into -1
8.420 * [taylor]: Taking taylor expansion of -1 in x
8.420 * [backup-simplify]: Simplify -1 into -1
8.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.421 * [backup-simplify]: Simplify (- 0) into 0
8.421 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.422 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.422 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) 1)) into (* 2 (/ 1 x))
8.422 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (* 2 (/ 1 x)) -1)) into (- (/ 1 x))
8.422 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x
8.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.422 * [taylor]: Taking taylor expansion of x in x
8.422 * [backup-simplify]: Simplify 0 into 0
8.422 * [backup-simplify]: Simplify 1 into 1
8.422 * [backup-simplify]: Simplify (/ 1 1) into 1
8.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.423 * [backup-simplify]: Simplify (- 0) into 0
8.423 * [backup-simplify]: Simplify (+ 0 0) into 0
8.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.424 * [backup-simplify]: Simplify (+ 0 0) into 0
8.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2))
8.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 x)) (/ 1 x)) (* (/ 1 (pow x 2)) -1))) into (/ 1 (pow x 2))
8.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.425 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.425 * [taylor]: Taking taylor expansion of x in x
8.425 * [backup-simplify]: Simplify 0 into 0
8.425 * [backup-simplify]: Simplify 1 into 1
8.425 * [backup-simplify]: Simplify (* 1 1) into 1
8.426 * [backup-simplify]: Simplify (/ 1 1) into 1
8.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.427 * [backup-simplify]: Simplify (- 0) into 0
8.427 * [backup-simplify]: Simplify (+ 0 0) into 0
8.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.428 * [backup-simplify]: Simplify (+ 0 0) into 0
8.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 x)) 0) (+ (* (/ 1 (pow x 2)) (/ 1 x)) (* 0 -1)))) into (/ 1 (pow x 3))
8.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
8.429 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.429 * [taylor]: Taking taylor expansion of x in x
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify 1 into 1
8.429 * [backup-simplify]: Simplify (* 1 1) into 1
8.430 * [backup-simplify]: Simplify (* 1 1) into 1
8.430 * [backup-simplify]: Simplify (/ 1 1) into 1
8.430 * [backup-simplify]: Simplify 1 into 1
8.430 * [backup-simplify]: Simplify 1 into 1
8.430 * [backup-simplify]: Simplify (- 1) into -1
8.430 * [backup-simplify]: Simplify -1 into -1
8.431 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) -2))) (+ (* 1 (* (pow (/ 1 x) -2) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 3)))) into (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2)))
8.431 * [backup-simplify]: Simplify (* (* (+ (/ 1 (- y)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- x)))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2))
8.431 * [approximate]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in (y x) around 0
8.431 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in x
8.431 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
8.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.431 * [taylor]: Taking taylor expansion of y in x
8.431 * [backup-simplify]: Simplify y into y
8.431 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.431 * [taylor]: Taking taylor expansion of x in x
8.431 * [backup-simplify]: Simplify 0 into 0
8.431 * [backup-simplify]: Simplify 1 into 1
8.432 * [backup-simplify]: Simplify (/ 1 1) into 1
8.432 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x
8.432 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x
8.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.432 * [taylor]: Taking taylor expansion of x in x
8.432 * [backup-simplify]: Simplify 0 into 0
8.432 * [backup-simplify]: Simplify 1 into 1
8.432 * [backup-simplify]: Simplify (/ 1 1) into 1
8.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.432 * [taylor]: Taking taylor expansion of y in x
8.432 * [backup-simplify]: Simplify y into y
8.432 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.432 * [backup-simplify]: Simplify (+ 1 0) into 1
8.432 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in y
8.432 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
8.432 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.432 * [taylor]: Taking taylor expansion of y in y
8.432 * [backup-simplify]: Simplify 0 into 0
8.432 * [backup-simplify]: Simplify 1 into 1
8.433 * [backup-simplify]: Simplify (/ 1 1) into 1
8.433 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.433 * [taylor]: Taking taylor expansion of x in y
8.433 * [backup-simplify]: Simplify x into x
8.433 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.433 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.433 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.433 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.433 * [taylor]: Taking taylor expansion of x in y
8.433 * [backup-simplify]: Simplify x into x
8.433 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.433 * [taylor]: Taking taylor expansion of y in y
8.433 * [backup-simplify]: Simplify 0 into 0
8.433 * [backup-simplify]: Simplify 1 into 1
8.433 * [backup-simplify]: Simplify (/ 1 1) into 1
8.433 * [backup-simplify]: Simplify (+ 0 1) into 1
8.433 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (+ (/ 1 x) (/ 1 y)) 2)) in y
8.433 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
8.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.433 * [taylor]: Taking taylor expansion of y in y
8.433 * [backup-simplify]: Simplify 0 into 0
8.433 * [backup-simplify]: Simplify 1 into 1
8.434 * [backup-simplify]: Simplify (/ 1 1) into 1
8.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.434 * [taylor]: Taking taylor expansion of x in y
8.434 * [backup-simplify]: Simplify x into x
8.434 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.434 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y
8.434 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y
8.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.434 * [taylor]: Taking taylor expansion of x in y
8.434 * [backup-simplify]: Simplify x into x
8.434 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.434 * [taylor]: Taking taylor expansion of y in y
8.434 * [backup-simplify]: Simplify 0 into 0
8.434 * [backup-simplify]: Simplify 1 into 1
8.434 * [backup-simplify]: Simplify (/ 1 1) into 1
8.435 * [backup-simplify]: Simplify (+ 0 1) into 1
8.435 * [backup-simplify]: Simplify (+ 1 0) into 1
8.435 * [backup-simplify]: Simplify (* 1 1) into 1
8.435 * [backup-simplify]: Simplify (* 1 1) into 1
8.435 * [taylor]: Taking taylor expansion of 1 in x
8.435 * [backup-simplify]: Simplify 1 into 1
8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.436 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x)
8.436 * [backup-simplify]: Simplify (+ (* 1 (/ 1 x)) (* (/ 1 x) 1)) into (* 2 (/ 1 x))
8.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.436 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x))
8.437 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x))
8.437 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 x))) (* (- (/ 1 x)) 1)) into (/ 1 x)
8.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.437 * [taylor]: Taking taylor expansion of x in x
8.437 * [backup-simplify]: Simplify 0 into 0
8.437 * [backup-simplify]: Simplify 1 into 1
8.437 * [backup-simplify]: Simplify (/ 1 1) into 1
8.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.438 * [backup-simplify]: Simplify (+ 0 0) into 0
8.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) (/ 1 x)) (* 0 1))) into (/ 1 (pow x 2))
8.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.439 * [backup-simplify]: Simplify (- 0) into 0
8.439 * [backup-simplify]: Simplify (+ 0 0) into 0
8.440 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* (- (/ 1 x)) (* 2 (/ 1 x))) (* 0 1))) into (- (/ 1 (pow x 2)))
8.440 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x
8.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.440 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.440 * [taylor]: Taking taylor expansion of x in x
8.440 * [backup-simplify]: Simplify 0 into 0
8.440 * [backup-simplify]: Simplify 1 into 1
8.440 * [backup-simplify]: Simplify (* 1 1) into 1
8.441 * [backup-simplify]: Simplify (/ 1 1) into 1
8.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.441 * [backup-simplify]: Simplify (+ 0 0) into 0
8.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 x) 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0
8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
8.443 * [backup-simplify]: Simplify (- 0) into 0
8.443 * [backup-simplify]: Simplify (+ 0 0) into 0
8.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 x)) (/ 1 (pow x 2))) (+ (* 0 (* 2 (/ 1 x))) (* 0 1)))) into (- (/ 1 (pow x 3)))
8.444 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 3))) in x
8.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x
8.444 * [taylor]: Taking taylor expansion of (pow x 3) in x
8.444 * [taylor]: Taking taylor expansion of x in x
8.444 * [backup-simplify]: Simplify 0 into 0
8.444 * [backup-simplify]: Simplify 1 into 1
8.444 * [backup-simplify]: Simplify (* 1 1) into 1
8.444 * [backup-simplify]: Simplify (* 1 1) into 1
8.445 * [backup-simplify]: Simplify (/ 1 1) into 1
8.445 * [backup-simplify]: Simplify (- 1) into -1
8.445 * [backup-simplify]: Simplify -1 into -1
8.445 * [backup-simplify]: Simplify (- 1) into -1
8.445 * [backup-simplify]: Simplify -1 into -1
8.445 * [backup-simplify]: Simplify 1 into 1
8.446 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) -2))) (+ (* -1 (* (pow (/ 1 (- x)) -2) (/ 1 (/ 1 (- y))))) (* -1 (pow (* (/ 1 (/ 1 (- x))) 1) 3)))) into (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2)))
8.446 * * * [progress]: simplifying candidates
8.465 * [simplify]: Simplifying:
  (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y)))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y)))
  (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y)))
  (+ (- (log (+ (* y y) (* x x)))) (+ (+ (log (+ y x)) (log (+ y x))) (log (- x y))))
  (+ (- (log (+ (* y y) (* x x)))) (+ (log (* (+ y x) (+ y x))) (log (- x y))))
  (+ (- (log (+ (* y y) (* x x)))) (log (* (* (+ y x) (+ y x)) (- x y))))
  (+ (- 0 (log (+ (* y y) (* x x)))) (+ (+ (log (+ y x)) (log (+ y x))) (log (- x y))))
  (+ (- 0 (log (+ (* y y) (* x x)))) (+ (log (* (+ y x) (+ y x))) (log (- x y))))
  (+ (- 0 (log (+ (* y y) (* x x)))) (log (* (* (+ y x) (+ y x)) (- x y))))
  (+ (- (log 1) (log (+ (* y y) (* x x)))) (+ (+ (log (+ y x)) (log (+ y x))) (log (- x y))))
  (+ (- (log 1) (log (+ (* y y) (* x x)))) (+ (log (* (+ y x) (+ y x))) (log (- x y))))
  (+ (- (log 1) (log (+ (* y y) (* x x)))) (log (* (* (+ y x) (+ y x)) (- x y))))
  (+ (log (/ 1 (+ (* y y) (* x x)))) (+ (+ (log (+ y x)) (log (+ y x))) (log (- x y))))
  (+ (log (/ 1 (+ (* y y) (* x x)))) (+ (log (* (+ y x) (+ y x))) (log (- x y))))
  (+ (log (/ 1 (+ (* y y) (* x x)))) (log (* (* (+ y x) (+ y x)) (- x y))))
  (log (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))))
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  (* (* (- (* y y) (* x x)) (+ y x)) (- (pow x 3) (pow y 3)))
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  (* (* (- (* y y) (* x x)) (+ y x)) (- (* x x) (* y y)))
  (* (- y x) (+ x y))
  (* (+ y x) (sqrt (- x y)))
  (* (+ y x) (sqrt (- x y)))
  (* (* (+ y x) (+ y x)) x)
  (* (* (+ y x) (+ y x)) (- y))
  (* (* (+ y x) (+ y x)) x)
  (* (* (+ y x) (+ y x)) (- y))
  (* x (* (+ y x) (+ y x)))
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  (* x (* (+ y x) (+ y x)))
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  (* (* (+ y x) (+ y x)) (sqrt (- x y)))
  (* (* (+ y x) (+ y x)) 1)
  (* (* (+ y x) (+ y x)) (+ (sqrt x) (sqrt y)))
  (* (* (+ y x) (+ y x)) 1)
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  (* (* (+ y x) (+ y x)) (- (pow x 3) (pow y 3)))
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  (* (* (+ (pow y 3) (pow x 3)) (+ (pow y 3) (pow x 3))) (- x y))
  (* (* (+ (pow y 3) (pow x 3)) (- (* y y) (* x x))) (- x y))
  (* (* (- (* y y) (* x x)) (+ (pow y 3) (pow x 3))) (- x y))
  (* (* (- (* y y) (* x x)) (- (* y y) (* x x))) (- x y))
  (* (* (+ y x) (+ (pow y 3) (pow x 3))) (- x y))
  (* (* (+ y x) (- (* y y) (* x x))) (- x y))
  (* (* (+ (pow y 3) (pow x 3)) (+ y x)) (- x y))
  (* (* (- (* y y) (* x x)) (+ y x)) (- x y))
  (+ x y)
  (- (+ x y))
  (- (+ x y))
  0
  0
  0
  1
  -1
  -1
  (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3)))
  (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2)))
  (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2)))
8.487 * * [simplify]: iteration 0: 558 enodes
9.079 * * [simplify]: iteration 1: 2465 enodes
9.836 * * [simplify]: iteration complete: 5001 enodes
9.837 * * [simplify]: Extracting #0: cost 215 inf + 0
9.842 * * [simplify]: Extracting #1: cost 1448 inf + 3
9.853 * * [simplify]: Extracting #2: cost 1916 inf + 128
9.865 * * [simplify]: Extracting #3: cost 1794 inf + 2654
9.879 * * [simplify]: Extracting #4: cost 770 inf + 17681
9.891 * * [simplify]: Extracting #5: cost 99 inf + 31463
9.911 * * [simplify]: Extracting #6: cost 4 inf + 33483
9.923 * * [simplify]: Extracting #7: cost 0 inf + 33556
9.932 * [simplify]: Simplified to:
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  (/ (/ (* (* (+ y x) (- y x)) (* (+ y x) (- (pow x 3) (pow y 3)))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (* (+ y x) (- y x)) (* (+ y x) (* (- x y) (+ y x)))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (* (+ y x) (+ y x)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (+ y x) (* (+ y x) (* (- x y) (+ y x)))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (+ (pow y 3) (pow x 3)) (* (+ (pow y 3) (pow x 3)) (- x y))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (+ (pow y 3) (pow x 3)) (* (* (+ y x) (- y x)) (- x y))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (+ (pow y 3) (pow x 3)) (* (* (+ y x) (- y x)) (- x y))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (* (* (+ y x) (- y x)) (* (+ y x) (- y x))) (- x y)) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (+ (pow y 3) (pow x 3)) (* (- x y) (+ y x))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (- x y) (* (+ y x) (* (+ y x) (- y x)))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (+ (pow y 3) (pow x 3)) (* (- x y) (+ y x))) (+ (* x x) (* y y))) (+ y x))
  (/ (/ (* (* (- y x) (* (+ y x) (+ y x))) (- x y)) (+ (* x x) (* y y))) (+ y x))
  (/ (* (+ y x) (* (- x y) (+ y x))) (+ y x))
  (* (+ y x) (* (- x y) (+ y x)))
  (* (+ y x) (* (- x y) (+ y x)))
  (+ (log (- x y)) (* 2 (log (+ y x))))
  (+ (log (- x y)) (* 2 (log (+ y x))))
  (+ (log (- x y)) (* 2 (log (+ y x))))
  (pow (exp (+ y x)) (* (- x y) (+ y x)))
  (* (pow (- x y) 3) (pow (* (+ y x) (+ y x)) 3))
  (* (pow (- x y) 3) (pow (* (+ y x) (+ y x)) 3))
  (* (cbrt (* (+ y x) (* (- x y) (+ y x)))) (cbrt (* (+ y x) (* (- x y) (+ y x)))))
  (cbrt (* (+ y x) (* (- x y) (+ y x))))
  (pow (* (+ y x) (* (- x y) (+ y x))) 3)
  (sqrt (* (+ y x) (* (- x y) (+ y x))))
  (sqrt (* (+ y x) (* (- x y) (+ y x))))
  (* (- (pow x 3) (pow y 3)) (* (+ (pow y 3) (pow x 3)) (+ (pow y 3) (pow x 3))))
  (* (+ (* x (- x y)) (* y y)) (* (+ (* y (+ y x)) (* x x)) (+ (* x (- x y)) (* y y))))
  (* (+ (pow y 3) (pow x 3)) (* (+ (pow y 3) (pow x 3)) (* (- x y) (+ y x))))
  (* (+ (* x (- x y)) (* y y)) (* (+ (* x (- x y)) (* y y)) (+ y x)))
  (* (* (+ y x) (- y x)) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))))
  (* (+ (* y (+ y x)) (* x x)) (* (+ (* x (- x y)) (* y y)) (- y x)))
  (* (* (+ y x) (- y x)) (* (+ (pow y 3) (pow x 3)) (* (- x y) (+ y x))))
  (* (+ (* x (- x y)) (* y y)) (* (+ y x) (- y x)))
  (* (* (+ y x) (- y x)) (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))))
  (* (+ (* y (+ y x)) (* x x)) (* (+ (* x (- x y)) (* y y)) (- y x)))
  (* (* (+ y x) (- y x)) (* (+ (pow y 3) (pow x 3)) (* (- x y) (+ y x))))
  (* (+ (* x (- x y)) (* y y)) (* (+ y x) (- y x)))
  (* (- (pow x 3) (pow y 3)) (* (* (+ y x) (- y x)) (* (+ y x) (- y x))))
  (* (+ (* y (+ y x)) (* x x)) (* (- y x) (- y x)))
  (* (* (* (+ y x) (- y x)) (* (+ y x) (- y x))) (* (- x y) (+ y x)))
  (* (- y x) (* (+ y x) (- y x)))
  (* (+ (pow y 3) (pow x 3)) (* (+ y x) (- (pow x 3) (pow y 3))))
  (* (+ (* y (+ y x)) (* x x)) (+ (* x (- x y)) (* y y)))
  (* (+ (pow y 3) (pow x 3)) (* (+ y x) (* (- x y) (+ y x))))
  (* (+ (* x (- x y)) (* y y)) (+ y x))
  (* (+ y x) (* (* (+ y x) (- y x)) (- (pow x 3) (pow y 3))))
  (* (+ (* y (+ y x)) (* x x)) (- y x))
  (* (* (- x y) (+ y x)) (* (+ y x) (* (+ y x) (- y x))))
  (* (+ y x) (- y x))
  (* (+ (pow y 3) (pow x 3)) (* (+ y x) (- (pow x 3) (pow y 3))))
  (* (+ (* y (+ y x)) (* x x)) (+ (* x (- x y)) (* y y)))
  (* (+ (pow y 3) (pow x 3)) (* (+ y x) (* (- x y) (+ y x))))
  (* (+ (* x (- x y)) (* y y)) (+ y x))
  (* (* (+ y x) (- y x)) (* (+ y x) (- (pow x 3) (pow y 3))))
  (* (+ (* y (+ y x)) (* x x)) (- y x))
  (* (* (+ y x) (- y x)) (* (+ y x) (* (- x y) (+ y x))))
  (* (+ y x) (- y x))
  (* (sqrt (- x y)) (+ y x))
  (* (sqrt (- x y)) (+ y x))
  (* (+ y x) (* (+ y x) x))
  (* (+ y x) (* (+ y x) (- y)))
  (* (+ y x) (* (+ y x) x))
  (* (+ y x) (* (+ y x) (- y)))
  (* (* (+ y x) (+ y x)) x)
  (* (+ y x) (* (+ y x) (- y)))
  (* (* (+ y x) (+ y x)) x)
  (* (+ y x) (* (+ y x) (- y)))
  (* (* (cbrt (- x y)) (cbrt (- x y))) (* (+ y x) (+ y x)))
  (* (sqrt (- x y)) (* (+ y x) (+ y x)))
  (* (+ y x) (+ y x))
  (* (+ (sqrt x) (sqrt y)) (* (+ y x) (+ y x)))
  (* (+ y x) (+ y x))
  (* (- x y) (+ y x))
  (* (* (+ y x) (+ y x)) (- (pow x 3) (pow y 3)))
  (* (+ y x) (* (+ y x) (* (- x y) (+ y x))))
  (* (+ (pow y 3) (pow x 3)) (* (+ (pow y 3) (pow x 3)) (- x y)))
  (* (+ (pow y 3) (pow x 3)) (* (* (+ y x) (- y x)) (- x y)))
  (* (+ (pow y 3) (pow x 3)) (* (* (+ y x) (- y x)) (- x y)))
  (* (* (* (+ y x) (- y x)) (* (+ y x) (- y x))) (- x y))
  (* (+ (pow y 3) (pow x 3)) (* (- x y) (+ y x)))
  (* (- x y) (* (+ y x) (* (+ y x) (- y x))))
  (* (+ (pow y 3) (pow x 3)) (* (- x y) (+ y x)))
  (* (* (- y x) (* (+ y x) (+ y x))) (- x y))
  (+ y x)
  (- (+ y x))
  (- (+ y x))
  0
  0
  0
  1
  -1
  -1
  (- (* (* x x) y) (+ (* (* y y) x) (pow y 3)))
  (- (+ (pow x 3) (* (* x x) y)) (* (* y y) x))
  (- (+ (pow x 3) (* (* x x) y)) (* (* y y) x))
9.935 * * * [progress]: adding candidates to table
11.970 * [progress]: [Phase 3 of 3] Extracting.
11.970 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))))> #<alt (λ (x y) (* (- (+ y x)) (/ 1 (+ y x))))>)
11.970 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x)
11.970 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))))> #<alt (λ (x y) (* (- (+ y x)) (/ 1 (+ y x))))>)
12.003 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))))> #<alt (λ (x y) (* (- (+ y x)) (/ 1 (+ y x))))>)
12.072 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))))> #<alt (λ (x y) (* (- (+ y x)) (/ 1 (+ y x))))>)
12.157 * * * [regime]: Found split indices: #<option (#s(si 0 29) #s(si 1 124) #s(si 2 200) #s(si 1 255))>
12.158 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))))> #<alt (λ (x y) (* (- (+ y x)) (/ 1 (+ y x))))>)
12.262 * [regimes]: Found splitpoints: (#s(sp 0 y -6.684928343955356e+152) #s(sp 1 y -5.832122554270737e-161) #s(sp 2 y 8.82873352566288e-187) #s(sp 1 y +nan.0)) , with alts (#<alt (λ (x y) -1)> #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))> #<alt (λ (x y) 1)> #<alt (λ (x y) (* (* (/ 1 (+ (* y y) (* x x))) (* (* (+ y x) (+ y x)) (- x y))) (/ 1 (+ y x))))> #<alt (λ (x y) (* (- (+ y x)) (/ 1 (+ y x))))>)
12.262 * [simplify]: Simplifying:
  (if (<= y -6.684928343955356e+152) -1 (if (<= y -5.832122554270737e-161) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (if (<= y 8.82873352566288e-187) 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))))
12.262 * * [simplify]: iteration 0: 20 enodes
12.264 * * [simplify]: iteration 1: 28 enodes
12.266 * * [simplify]: iteration complete: 28 enodes
12.266 * * [simplify]: Extracting #0: cost 1 inf + 0
12.266 * * [simplify]: Extracting #1: cost 4 inf + 0
12.266 * * [simplify]: Extracting #2: cost 10 inf + 1
12.266 * * [simplify]: Extracting #3: cost 12 inf + 4
12.266 * * [simplify]: Extracting #4: cost 14 inf + 11
12.266 * * [simplify]: Extracting #5: cost 12 inf + 18
12.267 * * [simplify]: Extracting #6: cost 4 inf + 61
12.267 * * [simplify]: Extracting #7: cost 1 inf + 114
12.267 * * [simplify]: Extracting #8: cost 0 inf + 144
12.267 * [simplify]: Simplified to:
  (if (<= y -6.684928343955356e+152) -1 (if (or (<= y -5.832122554270737e-161) (not (<= y 8.82873352566288e-187))) (/ (* (- x y) (+ y x)) (+ (* y y) (* x x))) 1))
14.416 * [regime-testing]: Baseline error score: 20.320428669112175
14.418 * [regime-testing]: Oracle error score: 0.4163234507733024
14.423 * [regime-testing]: End program error score: 4.876882595143695
14.546 * [regime-testing]: Target error score: 0.04873278378898922